During a space shuttle launch, a maneuver is scheduled to begin at T minus 80
seconds, which is 80 seconds before liftoff. The maneuver lasts 1 1/2 minutes. At
what time will the maneuver be complete?

Answers

Answer 1

Therefore, since a movement is set to start at T minus 80, the move will be completed at T plus 10 seconds.

What is the order of rotation?

The amount of rotations a shape can undergo around its center before returning to its initial position is referred to as the order of rotation in mathematics and geometry. It is also referred to as a shape's circular symmetry. A circle, for instance, has an order of rotation of infinite because it can be rotated indefinitely around its center without changing how it appears. A cube has an order of rotation of four because it will remain the same in shape whether it is rotated 90, 180, 270, or 360 degrees around its center.

given

At T minus 80 seconds, or 80 seconds prior to liftoff, the move is slated to start.

We must multiply the duration of the maneuver by the beginning time to determine the time at which it will be finished.

The move is estimated to take 1 and a half minutes. Since there are 60 seconds in a minute, we can change this to seconds by multiplying it by 60:

1 and a half minutes is equal to 1.5 minutes, 1.5 minutes multiplied by 60 seconds is equal to 90 seconds.

The move lasts 90 seconds as a result.

We multiply the duration of the move (90 seconds) by the start time (T minus 80 seconds) to determine the time at which the maneuver will be finished:

The move will be finished in T minus 80 seconds plus 90 seconds.

By adding the integers, we can make this simpler:

When the move is finished, the time will be T minus 80 seconds + 90 seconds + T plus 10 seconds.

Therefore, since a movement is set to start at T minus 80, the move will be completed at T plus 10 seconds.

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Related Questions

What is 3 - 5 written as a decimal (not a negative number)
Example: 1 - 5 = 0.2
I WILL GIVE BRAINIEST PLEASE HELP THIS IS SO CONFUSING!!!!!

Answers

Step-by-step explanation:

3/5 as a decimal is 0.6

(explanation is given in your another question please check)

rahquez and trinidad both leave the park at the same time, but in opposite directions. if trinidad travels 6 mph faster than rahquez and after 8 hours they are 288 miles apart, how fast is each traveling?

Answers

The propensity scoring method is a statistical technique used to adjust for differences in the characteristics of groups being compared in a study. In this case, we want to adjust for the fact that respondents aged 70 or older are underrepresented in an internet sample.

To do this, we can assign a propensity score to each individual in the sample based on their likelihood of being in the sample, given their age. We can then use this score to weight their responses to account for the underrepresentation of older individuals.

In this case, we know that respondents aged 70 or older are only one-third as likely to be in an internet sample as their actual incidence in the population. This means that we can assign a propensity score of 3 to each individual aged 70 or older in the sample, and a propensity score of 1 to everyone else.

Using these propensity scores, we can weight the responses of each individual in the sample. Responses from individuals with a propensity score of 3 would be weighted by a factor of 3, while responses from individuals with a propensity score of 1 would be weighted by a factor of 1.

By adjusting for the underrepresentation of older individuals in this way, we can obtain more accurate estimates of the characteristics of the population being studied, and reduce the potential for bias in our analysis.

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someone says batman's iq is 192, and someone says lex luthor's iq is 225. assuming the average iq is 100 with a standard deviation of 15, how many sigma is batman's iq and luthor's iq?

Answers

Batman's IQ is 5.47 standard deviations above the mean, and Luthor's IQ is 8.33 standard deviations above the mean.

To find out how many standard deviations above the mean Batman's IQ of 192 and Luthor's IQ of 225 are, we first need to calculate the z-scores for each IQ.

The formula for the z-score is:

z = (x - μ) / σ

Where:

x is the value we want to standardize (Batman's or Luthor's IQ)

μ is the population mean IQ (100)

σ is the population standard deviation (15)

For Batman's IQ:

z = (192 - 100) / 15 = 5.47

For Luthor's IQ:

z = (225 - 100) / 15 = 8.33

Therefore, Batman's IQ is 5.47 standard deviations above the mean, and Luthor's IQ is 8.33 standard deviations above the mean.

Note that it is highly unlikely to have IQs this high in the general population, and these values are likely exaggerated for fictional characters.

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(e) find an expression that gives, as a function of time t, the rate at which thermal energy is produced in the resistor. (use the following as necessary: t. do not include units in your answer.)

Answers

The expression for the rate of thermal energy produced in the resistor as a function of time t is P(t) = V(t)²/R.


The thermal energy that is produced in a resistor can be determined by P = I²R, where P is the power, I is the current, and R is the resistance. The current is given by I = V/R where V is the voltage. Therefore, P = V²/R.

Using the Ohm's law, the voltage is V = IR, so P = I²R = (V/R)²R = V²/R.

Thus, the rate at which thermal energy is produced in the resistor as a function of time t can be expressed as: P(t) = V(t)²/R where P(t) represents the power or rate at which thermal energy is produced in the resistor, V(t) represents the voltage as a function of time t, and R represents the resistance of the resistor.

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a lottery offers one $1000 prize, one $500 prize, and five $100 prizes. one thousand tickets are sold at $3 each. find the expectation if a person buys one ticket.

Answers

the expectation of buying one ticket is $2

Expectation if a person buys one ticket A person is interested in buying a ticket for a lottery that offers one $1000 prize, one $500 prize, and five $100 prizes. One thousand tickets are sold at $3 each. The expected return is calculated using the following formula:

Expectation = (Probability of winning Prize 1 × Value of Prize 1) + (Probability of winning Prize 2 × Value of Prize 2) + (Probability of winning Prize 3 × Value of Prize 3)To determine the expectation, we must first determine the probability of winning each of the three prizes.

Since one thousand tickets are sold and only one person can win the first prize, the probability of winning the $1000 prize is 1/1000 or 0.001. Similarly, the probability of winning the $500 prize is 1/1000 or 0.001. Since five $100 prizes are available and only one person can win each prize, the probability of winning any one of the five $100 prizes is 5/1000 or 0.005.

Therefore, the expectation is calculated as follows: Expectation = (0.001 × $1000) + (0.001 × $500) + (0.005 × $100)Expectation = $1 + $0.50 + $0.50Expectation = $2Thus, the expectation of buying one ticket is $2. This means that the average value of a ticket is $2, and a person can expect to win $2 on average by purchasing a ticket. Since the cost of a ticket is $3, the expected return is less than the cost of the ticket, and therefore, it is not a good investment from a financial standpoint.

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Select all expressions containing a coefficient of 4.
4xy
2x+4
4x+2y

4+x+y

Answers

All the given expressions containing a coefficient of 4 is  4x+2y and 4xy.

Explain about the coefficient of the number?

A quantity or number that is combined with a variable is regarded as a coefficient. The variable is often multiplied by an integer, which is then typed next to it.

It is assumed that the variables with no accompanying number have a coefficient of 1.A variable's coefficient is the quantity of any letter or number that the variable possesses. For instance, the coefficient for variable x in the formula 2x + 3y is 2, and thus the coefficient of variable y is 3 in the same formula.

From the given equation:

4x+2y have the coefficient of 4 of variable 'x'.

4xy have the coefficient of 4 of variable 'x' and 'y' both.

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larry had 1/3 of a submarine sandwich left over from a field trip he decided to share it with his 3 friends after school how much of the original sandwich did each person get

Answers

The answer is 1 / 9.

Larry had 1/3 of a Submarine sandwich left over from the excursion. If sharing with 3 friends, they must divide equally.

To do this, 1/3 of the sandwich should be divided into three equal parts. This can be written as:

1/3÷3

To simplify this expression, division can be converted to multiplication by multiplying the reciprocal of the divisor (3) by the dividend (1/3). That is:

1/3 ÷ 3 = 1/3 × 1/3

Multiplying the numerator and denominator gives:

1/3 × 1/3 = 1/9  

Therefore, each person will get 1/9 of the original sandwich.

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a reasonable abstraction for a car includes: group of answer choices an engine number of miles driven driving car color

Answers

Answer:

Of the given options, "an engine" is the most reasonable abstraction for a car.

An engine is a fundamental component of a car that powers its movement, and it is present in almost all cars. The number of miles driven and the driving car color are characteristics of a specific car rather than abstractions of a car itself. For example, a car can still be considered a car even if it has not been driven any miles yet or if it has no color at all.

Therefore, an engine is a more reasonable abstraction for a car as it captures an essential feature of a car that is present in all cars.

The solution is, D. Driving, a reasonable abstraction for a car includes. Driving is an action or behavior associated with a car, as it involves operating or using the car to travel from one place to another. It is an essential aspect of the car's purpose and function.

Here, we have,

we know that,

An engine is a machine designed to convert fuel into mechanical energy that can be used to power other machines or devices. In the context of automobiles, an engine is the primary source of power that drives the vehicle. It typically operates by burning fuel in a combustion chamber to generate high-pressure gases that drive a piston, which in turn rotates a crankshaft that ultimately powers the car's wheels.

Car color and number of miles driven are characteristics or properties of a car, while an engine is a component that helps to power the car. Driving, on the other hand, is an action or behavior associated with a car, as it refers to the act of operating or using the car to travel from one place to another.

Therefore, driving is a reasonable abstraction for a car, as it captures an essential aspect of the car's purpose and function.

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HELP! Georgie took 275 mg of medicine for her cold in the first hour she got home from work. In each subsequent hour, the amount of
medicine in her body is 91% of the amount from the previous hour.
What is the explicit rule for the amount of medicine remaining in her body in the nth hour and approximately how much medicine
would remain in the 8th hour?
Round to two decimal places.
Drag and drop the answers into the boxes to match the situation.
Explicit rule
Amount of medicine, in mg, during the 8th hour.

Answers

Answer:

here is the ananswer

Step-by-step explanation:

red go to red and black to black

how do i know if the cost is proportional

Answers

Answer:

Proportionality describes a relationship between values that have the same ratio.

Direct Proportionality

The are 2 types of proportionality; the first is directly proportional. If a relationship is directly proportional, both values will increase or decrease together at the same rate. Directly proportional relationships are described by the equation:

y = kx

In this equation, y and x are variables while k represents the constant of proportionality. In a directly proportional relationship, both the y and x value grow at the same rate. For example, take this set of values:

y = {20, 40, 80}x = {2, 4, 8}

These values are directly proportional because they both double each time, meaning they grow at the same rate. Additionally, the ratio between terms remains the same. Take the ratios 20:2 and 40:4, when simplified these are both 10:1 (for proportionality it's easier to write ratios as y:x). Since the ratio is the same, they are proportional. Additionally, the ratio tells us that the constant of proportionality is 10. So the equation to represent this situation is

y = 10x

Indirectly Proportional

Indirect proportionality is similar to direct, but instead of increasing or decreasing together, one value increases while the other decreases. Indirect proportionality is described by the equation:

[tex]y=\frac{k}{x}[/tex]

We can represent this with another set of x and y values.

x = {1, 2, 5}y = {10, 5, 2}

Unlike directly proportional relationships, the growth rate is not constant. Still, we can represent this relationship as

[tex]y=\frac{10}{x}[/tex].

So, k still equals 10, but the relationship is indirectly proportional. As x increases, y decreases, and vice versa.

if the sun rotates once every 24.5 days at the equator, once every 24.8 days at latitude 15 degrees, and once every 34.3 days at the poles, what is the average number of days the sun takes to rotate once based on these three numbers?

Answers

Answer:

Step-by-step explanation:
To find the average number of days it takes for the sun to rotate once, we can add the three rotation periods and divide by 3:

Average rotation period = (24.5 + 24.8 + 34.3) / 3

Average rotation period = 83.6 / 3

Average rotation period = 27.87 days (rounded to two decimal places)

Therefore, the average number of days it takes for the sun to rotate once based on the given information is approximately 27.87 days.

I need help on this! Will give brainliest!

Answers

The solution (16, 2) is a feasible production plan that satisfies all the constraints of the problem.

What is inequality?

Inequality is a mathematical statement that compares two values or expressions, indicating whether they are equal or not equal, greater than or less than, greater than or equal to or less than or equal to each other, using mathematical symbols such as "<", ">", "<=", ">=", and "≠".

According to question:

The solution (16, 2) represents that Wanda can produce 16 small pairs of gloves and 2 large pairs of gloves, and this production plan satisfies all the given constraints.

To see why, let's substitute x=16 and y=2 in the two inequalities:

45x + 120y ≤ 960, becomes 45(16) + 120(2) ≤ 960, which simplifies to 720 ≤ 960. This inequality is true, meaning that Wanda can produce this number of gloves within the 16 hours she has available.2x + 4y ≤ 40, becomes 2(16) + 4(2) ≤ 40, which simplifies to 36 ≤ 40. This inequality is also true, meaning that the materials cost for this production plan is within the budget of $40.

Therefore, the solution (16, 2) is a feasible production plan that satisfies all the constraints of the problem.

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In January 2011 the rate of VAT increased from 17. 5% to 20%. Work out the difference in price of a car worth £15 000 + VAT
due to the increase in VAT

Answers

The difference in the price of a car worth £15,000 + VAT due to the increase in VAT is £250.

To calculate the difference in price due to the increase in VAT, first find the original amount of VAT on the car:

£15,000 x 17.5% = £2,625

Then find the new amount of VAT on the car:

£15,000 x 20% = £3,000

Finally, subtract the original amount of VAT from the new amount of VAT to find the difference:

£3,000 - £2,625 = £375

Therefore, the difference in the price of the car due to the increase in VAT is £375. However, this is only the difference in VAT. To find the total difference in price, you need to add the original price of the car:

£15,000 + £375 = £15,375

So the total difference in the price of the car due to the increase in VAT is £250 (£15,375 - £15,000).

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no member of the green party voted for the tax cut. p2) mr jacobs did not vote for the tax cut. c) mr jacobs is a member of the green party.

Answers

Answer:

Mr Jacobs did not vote for the tax cut. C - Mr Jacob is a member of the Green Party. Invalid.

Step-by-step explanation:

i hate math fr but pls help asap

Answers

Answer:

The formula for the area of a circle is A = πr^2, where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.

If the radius of the circle is 11 inches, then we can substitute this value into the formula:

A = πr^2

A = π(11)^2

A = π(121)

So the area of the circle is 121π square inches, which is approximately 380.1327 square inches when rounded to four decimal places.

how much would a new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences (to the nearest whole number)?

Answers

A new college graduate in business would have to earn a starting salary of at least $85,095 to have a salary higher than 99% of all starting salaries of new college graduates in health sciences.

To solve this problem, we need to use the concept of z-scores, which measures the number of standard deviations away from the mean that a data point is.

First, we need to find the z-score that corresponds to the 99th percentile for the distribution of starting salaries in health sciences. We can use a standard normal distribution table or calculator to find that the z-score is approximately 2.33.

Next, we can use the formula for converting a z-score to an actual value:

z = (x - μ) / σ

where x is the actual value we want to find, μ is the mean, and σ is the standard deviation.

We can rearrange the formula to solve for x:

x = z * σ + μ

For business graduates, we want to find the salary that corresponds to a z-score of 2.33, using the standard deviation of $15,000 and mean of $53,901.

Plugging in the values, we get:

x = 2.33 * $15,000 + $53,901

x = $85,095

In summary, we used z-scores and the formula for converting z-scores to actual values to calculate the starting salary that corresponds to the 99th percentile for business graduates.

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Complete question is:

According to the National Association of Colleges and Employers, the average starting salary for new college graduates in health sciences is $51.541. The average starting salary for new college graduates in business is $53,901 (National Association of Colleges and Employers website, January , ). Assume that starting salaries are normally distributed and that the standard deviation for starting salaries for new college graduates in health sciences is $11,000. Assume that the standard deviation for starting salaries for new college graduates in business is $15,000.

How much would a new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences (to the nearest whole number)?

WILL MARK AS BRAINLEIST!! PLEASE QUICKLY
Find a point e satisfying the conclusion of the Mean Value Theorem for the function f(x) = x^-8 on the interval [1, 5].
c =

Answers

The point c satisfying the conclusion of the Mean Value Theorem for the function f(x) = x^-8 on the interval [1, 5] is: c = 1.4697

How to solve mean value theorem?

The conclusion of the Mean Value Theorem says that there is a number

c in the interval (1, 5) such that:

f'(c) = (f(5) - f(1))/(5 - 1)

We are given the function f(x) = x⁻⁸

Thus:

f(1) = 1⁻⁸ = 1

f(5) = 5⁻⁸ = 0.00000256

Thus:

f'(c) = (0.00000256 - 1)/4

= -0.25

f'(c) = -8x⁻⁹

Thus:

-8c⁻⁹ = -0.25

c⁻⁹  = 0.25/8

c⁻⁹ = 0.03125

c = 0.03125^(-1/9)

c = 1.4697

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cylindrical container of paint is 3 cm across the top and about 7 cm high. how many cubic centimeters of paint can it hold?

Answers

The number of cubic centimeters of paint that will fit in the cylindrical container is:

66.36 cm³

How to find the volume of a cylindrical container?

The volume of a cylinder can be determined by multiplying the area of the base by the height. It may be expressed using the formula:

V = πr²h

where π (pi) is approximately equal to 3.14, r is the radius, and h is the height.

You should also note that the radius of the cylinder is one-half of the diameter.

V = πr²h

Since the cylindrical container of paint has a diameter of 3 cm, its radius would be 1.5 cm. Furthermore, its height is around 7 cm. As a result, by substituting the given values into the formula, we may get the following result:

V = πr²hV = π(1.5)²(7)

V = 66.36 cm³

Therefore, the cylindrical container of paint can hold approximately 66.36 cubic centimeters of paint.

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10 points if someone gets it right


Tarzan loaded 4 trucks every 6 hours. At that rate, how long, in hours? will it take to load 6 trucks

Answers

Answer: 9 hours

Reasoning:

Trucks/hours

4/6 —-> 6/?

To get 4 to 6 you multiply 4 by 1.5, so you multiply 6 by 1.5, which gets the answer of 9 hours.

What is the pattern 6 1 8 4 2 7 answer i don’t understand this is sposed be for kindergarten and tell me how you know the answer

Answers

There is no specific number pattern for the sequence { 6, 1, 8,4, 2, 7} but to determine the next term of sequence we can use the following patterns

1) for even place terms pattern is

aₙ = aₙ₋₂ + 3.

2) for odd place terms pattern is first aₙ

= aₙ₋₂ + 2 and for next aₙ₊₂ = aₙ - 6, where n is odd number.

A pattern is a series or sequence of repetitions. A number pattern is a series of numbers that follow a specific order in mathematics. Patterns usually describe inverse relationships between numbers.

A sequence of numbers can also be called a pattern. The types of number patterns are classified as

arithmetic sequencegeometric sequence

We need to write a pattern for 6, 1, 8, 4, 2, 7. Now the sequence is 6, 1, 8, 4, 2, 7,

First term = 6

Second term = 1

Break this sequence down into odd and even terms or enteries. The order of odd entries is 6,8,2,.. So the pattern here is 2 and -6, i.e. 7ᵗʰ entry = 2 + 2 = 4 and 9ᵗʰ entry = 4+ 6 = 10 and so on. Now for Evan's bit term, 1,4,7,.. The pattern here is aₙ = aₙ₋₂ + 3. where n is an even number. So the entire sequence has no pattern, but the odd and even elements can be determined by different patterns.

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an arch top window is being built whose bottom is a rectangle and the top is a semicircle. if there is 12 meters of framing amterials what is the width of the window that lets in the most light?

Answers

An arch top window is a window with a bottom in the form of a rectangle and the top in the form of a semicircle. The width of the window that lets in the most light is 6 meters.

The width of the window that lets in the most light is determined by the length of the base of the rectangle, which is equal to the diameter of the semicircle. The total length of the framing materials is 12 meters, so the base length of the rectangle should be 6 meters. Thus, the width of the window is 6 meters.

To explain further, the width of an arch top window is determined by the base of the rectangle that forms the bottom part of the window, and the top is a semicircle. To determine the width of the window that lets in the most light, the length of the base should be equal to the diameter of the semicircle. Since the total length of the framing materials is 12 meters, the base length of the rectangle should be 6 meters, and the width of the window should also be 6 meters.

This means that the width of the window that lets in the most light is 6 meters, as the length of the base of the rectangle is equal to the diameter of the semicircle.

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please answer asap!!

Answers

Answer:

  y = csc(3x)

Step-by-step explanation:

You want an equation for a cosecant curve with vertical asymptotes at multiples of π/3.

Horizontal compression

The vertical asymptotes of the parent cosecant function are at multiples of π. Putting them at multiples of π/3 means compressing the graph horizontally by a factor of 3.

That compression means x will be replaced by 3x in the equation. You want ...

  y = csc(3x)

Sally bought a bag of candies and sorted them by color. She had 9 red candies, 43 orange candies, and 14 yellow candies. How many total candies were in the bag?

Answers

She had 9 red candies, 43 orange candies, and 14 yellow candies. Therefore, there are total 66 candies.

In mathematics, total is the addition of a series of arbitrary numbers called addition or addition; the result is their sum. In addition to numbers, other types of values ​​can be added: functions, vectors, matrices, polynomials, and in general, elements of any type of mathematical object on which a "+" operation is defined. The sum of infinite sequence is called sequence. They involve the concept of limits and are not considered in this article.

Given that:

9 red candies

43 orange candies and 14 yellow candies.

Therefore, there are  = 9 + 43 + 14

                                   = 66 candies.

Therefore, there are total 66 candies.

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The greenville park rangers want to know the number of visitors who arrive by bus

Answers

The correct option is B. The best number of people who will arrive by car is 90.

Bus: 185+175 = 359

Car: 38+43 = 81

Total: 359+81= 440

So, the proportion of arriving by car is [tex]\frac{81}{440 } = \frac{81}{440 }*500 = 90[/tex]

Regard frequency as probability

Probability is a branch of mathematics that deals with the study of random events. It is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1. An event with probability 0 means it will never occur, while an event with probability 1 means it will always occur.

The calculation of probability involves analyzing the possible outcomes of an event and assigning a probability to each outcome based on its likelihood of occurring. The probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in various fields, such as statistics, finance, engineering, and science, to make predictions and informed decisions.

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Complete Question:

The Greenville Park rangers want to know the number of visitors who arrive by bus and the number who arrive by car. Park officials record the method of transportation for a random selection of park visitors over two weeks.

Methods of Transportation:

Week         Bus         Car

1                 185           38

2                174            43

if 500 people visit the park in week 3, which is the best number of people who will arrive by car.

A). 40

B). 90

C). 130

D). 200

5
6
of the employees in a company are male.

7
8
of the male employees wear spectacles.
What fraction of the employees are males who wear spectacles?

Answers

Answer:

If 5/6 of the employees in a company are male, then the fraction of male employees in the company is:

5/6

If 7/8 of the male employees wear spectacles, then the fraction of male employees who wear spectacles is:

7/8

To find the fraction of employees who are males and wear spectacles, we need to multiply the fractions:

(5/6) x (7/8) = 35/48

Therefore, the fraction of employees who are males and wear spectacles is 35/48.

(HELP PLS)
Milwaukee's average high temperature in the summer is four
degrees lower than other cities in its same latitude.

Which option best describes the reason for that change?

OSioux Falls is near mountains.

O Milwaukee is beside a lake.

OSioux Falls is closer to a desert.

O Milwaukee has more mountains.

Answers

We can claim that after answering the above question, the  As a result, equation the correct answer is "Milwaukee is near a lake."

What is equation?

In mathematics, an equation is a statement that states the equality of two expressions. An equation is made up of two sides separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" contends that the sentence "2x + 3" equals the value "9". The purpose of equation solving is to identify the value or values of the variable(s) that will make the equation true. Simple or complex equations, regular or nonlinear, with one or more factors are all possible. For example, in the equation "x2 + 2x - 3 = 0," the variable x is raised to the second power. Lines are utilized in many areas of mathematics, including algebra, calculus, and geometry.  

Milwaukee's average high temperature in the summer is four degrees lower than other cities in its latitude since it is located next to a lake. The lake (Lake Michigan) cools the surrounding areas, notably Milwaukee, which is located on the lake's western shore. This is referred to as the "lake breeze" effect, and it is a regular occurrence in cities located near major bodies of water. As a result, the correct answer is "Milwaukee is near a lake."

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From a position 7 meters above the ground level in a building, an observer measures the angle of elevation of the top of a flagpole to be 50 degrees, and the angle of depression of the foot of the flag pole is 20degrees. How tall is the flagpole? (2 marks)​

Answers

The flagpole is approximately 16.27 meters tall.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

We can solve these equations simultaneously to find h. First, we can rearrange the first equation to get:

x = h / tan(50)

Then, we can substitute this expression for x into the second equation and simplify:

tan(20) = h / (h / tan(50) + 7)

tan(20) = h / (h / 1.1918 + 7)

h(1 - 0.8393 tan(20)) = 7 tan(20)

h = 7 tan(20) / (1 - 0.8393 tan(20))

Using a calculator, we can evaluate this expression to get:

h ≈ 16.27 meters

Therefore, the flagpole is approximately 16.27 meters tall.

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exercise 1.2.21 a boy finds $1.05 in dimes, nickels, and pennies. if there are 17 coins in all, how many coins of each type can he have?

Answers

The boy can have 9 dimes, 0 nickels, and 8 pennies.

We have,

a boy finds $1.05 in dimes, nickels, and pennies.

Let's assume that the boy has x number of dimes, y number of nickels, and z number of pennies.

We know that the total value of these coins is $1.05, and there are 17 coins in total.

Now, let's convert the values into cents.

We have 10 cents for each dime, 5 cents for each nickel, and 1 cent for each penny.

Therefore, the equation we can set up is:

10x + 5y + z = 105

(since $1.05 is equal to 105 cents)

We also know that the total number of coins is 17, so:

x + y + z = 17

Now, we have a system of equations.

Let's solve it using a method called substitution.

From the second equation, we can express z in terms of x and y:

z = 17 - x - y

Substituting this value of z into the first equation, we get:

10x + 5y + (17 - x - y) = 105

Simplifying this equation, we get:

9x + 4y = 88

Now we have a new equation to work with.

We can rearrange it to solve for x:

x = (88 - 4y) / 9

To find the possible values for x and y, we can try different values of y and calculate the corresponding values for x.

Since the number of coins cannot be negative, we can start by setting y to 0 and calculate x:

x = (88 - 4(0)) / 9

x = 88 / 9

x ≈ 9.78

Since the number of coins must be a whole number, we can round x down to the nearest whole number, which gives us x = 9.

Now, let's substitute this value of x back into our second equation:

9 + y + z = 17

Simplifying this equation, we get:

y + z = 8

We can now try different values of y and calculate the corresponding values of z that satisfy this equation.

Let's start with y = 0:

0 + z = 8

z = 8

So, one possible solution is x = 9, y = 0, and z = 8.

This means the boy can have 9 dimes, 0 nickels, and 8 pennies.

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After forming a system of equations according to the given information

We find that the boy can have  5 pennies, 13 dimes, and 2 nickles.

Given that,

The boy finds a total of $1.05 in dimes, nickels, and pennies.

There are 17 coins in total.

Number of pennies  = 5

Let "d" represent the number of dimes.

Let "n" represent the number of nickels.

Let "p" represent the number of pennies = 5

We know that,

1 $ = 100 cent

1 cent = 0.01$

According to the given information:

The system of equations be:

0.10d + 0.05n + 0.01 x 5 = 1.05   ......(i)

d + n + 2 = 17 .....(ii)

Proceeding with equation (i):

After simplifying:

0.10d + 0.05n = 1

Multiply 10 both sides

10d + 5n = 10  ....(iii)

Proceeding with equation (i):

After simplifying:

d + n = 15  .

Multiply 5 on both sides,

5d + 5n = 75 ....(iv)

Subtract (iii) from (iv):

5d = 65

d = 13

So, there are 13 dimes.

Now substitute this value of d into (iv),

n = 2

So, there are 2 nickels.

Hence.

We find that the boy can have  5 pennies, 13 dimes, and 2 nickles.

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The complete question is attached below:

A boy finds $1.05 in dimes, nickels, and pennies.

Dimes are 10 cents coins, Nickle is 5 cents coins and pennies are 1 cent coins. If there are 17 coins and the number of pennies is 5 in all.

How many coins of each type can he have?

the reliability of the source of information is one test to perform when assessing the reliability of group of answer choices premises. examples and illustrations. statistics. artifacts.

Answers

Artifacts are physical or digital objects which can be used to prove points.

Ultimately, determining the reliability of the source of information is essential to understanding the reliability of answer choices.

When assessing the reliability of a group of answer choices, it is important to consider the source of the information. This can be done by analyzing the origin of the information and its credibility.

Examples and illustrations are useful forms of evidence that can be used to support an argument. Statistics are numerical data that can be used to demonstrate the validity of a point.

Artifacts are physical or digital objects which can be used to prove a point. By evaluating the source of the information, and considering examples, illustrations, statistics, and artifacts, one can assess the reliability of a group of answer choices.

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the volume of a cube decreases at a rate of 6 m 3 / s . find the rate at which the side of the cube changes when the side of the cube is 4 m . answer exactly or round to 2 decimal places.

Answers

The rate at which the side of the cube changes when the side of the cube is 4 m is -1/8 m/s (or approximately -0.125 m/s).

Let's use the formula for the volume of a cube:

V = s³

where V is the volume and s is the length of one side of the cube. To find the rate of change of the side length, we need to differentiate this formula with respect to time t:

dV/dt = d/dt (s³) = 3s² ds/dt

We know that dV/dt = -6 m³/s (the negative sign indicates that the volume is decreasing), and when s = 4 m, we have:

-6 = 3(4²) ds/dt

Simplifying this equation gives us:

ds/dt = -6 / (3*4²) = -1/8 m/s

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