Kyle wrote a matrix to represent a system of equations. The matrix is shown below.
[1 -3 1 4 | 4]
[3 2 1 | 3]
[-6 -4 -2 | 1]
Which of the following describes the solution to the system of equations?
- consistent
- dependent
- inconsistent
- independent

Answer:

  5624.22 feet

Step-by-step explanation:

You want to know the distance from a skyscraper 1465 ft tall to a point where the angle of elevation to its top is 14.6°.

The tangent relation tells you ...

  Tan = Opposite/Adjacent

The distance between buildings is the side of the right triangle adjacent to the angle of elevation. The height of skyscraper B is the side opposite the angle of elevation. Using the tangent relationship, we can find the distance d between the buildings as ...

  tan(14.6°) = 1465/d

  c = 1465/tan(14.6°) ≈ 5624.22 . . . ft

The distance from A to B is about 5624.22 feet.

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Answer:

52500

Step-by-step explanation:

first do 5*105 to get 525 then mutiply by 100 to get 52500

The series [tex]\tan(2^{-n})[/tex] is convergent.

In mathematics, the cοnvergence οf a series refers tο the behaviοr οf the series' partial sums as mοre terms are added. A series cοnverges if its sequence οf partial sums apprοaches a finite limit, which is called the sum οf the series. If the sequence οf partial sums dοes nοt apprοach a finite limit, the series diverges.

The series [tex]\tan(2^{-n})[/tex] converges because of the following reasons:

As n increases, [tex]2^{-n}[/tex] becomes very small, which makes [tex]\tan(2^{-n})[/tex] close to its linear approximation. Therefore, we can use the linear approximation of [tex]\tan(2^{-n})[/tex] to estimate its value.

The linear approximation of [tex]\tan(2^{-n})[/tex] is [tex]2^{-n}[/tex], which means that [tex]\tan(2^{-n})[/tex] ≈ [tex]2^{-n}[/tex] when [tex]2^{-n}[/tex] is small.

Since the series [tex]2^{-n}[/tex] is convergent, by comparison test, the series [tex]\tan(2^{-n})[/tex] is also convergent.

Alternatively, we can also use the fact that the series tan(x) is convergent for x ∈ (0, π/2), and since [tex]2^{-n}[/tex] → 0 as n → ∞, we have [tex]\tan(2^{-n})[/tex] → tan(0) = 0, which implies that the series [tex]\tan(2^{-n})[/tex] is convergent.

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Answer:

Brainly Plus.

Step-by-step explanation:

You have to pay money. Otherwise, I don't think you can.

Maybe you could try just installing a bunch of ad-blockers.

But pretty much the only way is Brainly Plus.

The average rate of change representing the state whose temperature is decreasing slower is given as follows:

-1.5ºF/day.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.

For Maine, in 9 days, the temperature fell by 13.5ºF, hence the rate is given as follows:

-13.5/9 = -1.5ºF/day.

For Connecticut, in 2.5 days, the temperature fell by 6.25ºF, hence the rate is given as follows:

-6.25/2.5 = -2.25 ºF/day.

A slower decline is in Maine, as it has a lower rate of change.

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Answer:

kamari

Step-by-step explanation:

Tashaun: [tex]\frac{74}{2}[/tex]= 32mph

kamari: 153/3=51mph

so we can see that kamari is speeding the speed limit is 50 and 51>50 brainliest?

The range of function is values on the y-axis: R=[-7,2].

A function is a mathematical concept that describes the relationship between two sets of numbers. It is a rule that assigns to each input (or element in the domain) exactly one output (or element in the range). In simpler terms, a function is like a machine that takes in a number and produces another number as output, according to some specific rules. The input is usually denoted by x, and the output by f(x), which is read as "f of x". Functions can take many forms, such as linear, quadratic, trigonometric, exponential, logarithmic, and more. They are widely used in mathematics, science, engineering, and many other fields to model and analyze various phenomena.

Here,

To find the range of a function, you need to determine all possible output values of the function. Start by identifying the function's domain, which is the set of all possible input values of the function. Once you know the domain, apply the function to each input value in the domain and record the corresponding output values. Once you have a list of output values, identify the smallest and largest values in the list. These values represent the range of the function. For example, consider the function f(x) = 2x + 1. The domain of this function is all real numbers.

To find the range, apply the function to several input values in the domain:

f(-3) = -5

f(-2) = -3

f(-1) = -1

f(0) = 1

f(1) = 3

f(2) = 5

f(3) = 7

These output values give us a set of possible output values, which are {-5, -3, -1, 1, 3, 5, 7}. The smallest value in the set is -5 and the largest value is 7, so the range of the function is [-5, 7].

Note that for some functions, it may be difficult or impossible to find the exact range. In such cases, you can use techniques such as graphing or calculus to estimate the range.

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Answer:

$1.39

Step-by-step explanation:

Robbie had 5.00 to start out with. The hamburger he bought was $1.26. The potato chips were $0.65 and the total of the 2 drinks would be $1.70. $0.85 x 2 = $1.70. If we add $1.26 + $0.65+ $1.70 it will equal = $3.61.  Now if we take Robbies $5.00 and minues that by $3.61 (total of all food and drinks) we would get $1.39. So, Robbie only had $1.39 left.

Hopefullly that helps you !

Answer: 12 times

Step-by-step explanation:

165-20=145

12.5x11=137.5

12.5x12=150

Answer:   12.5x+20≥165

  x≥11.6

Step-by-step explanation:

Answer:

The correct answer is the third one

Step-by-step explanation:

[tex]8x + \frac{15}{x} = 26[/tex]

[tex]8 {x}^{2} + 15 - 26x = 0[/tex]

a = 8, b = -26, c = 15

[tex]d = {b}^{2} - 4ac = ( { - 26})^{2} - 4 \times 8 \times 15 = 676 - 480 = 196 > 0[/tex]

[tex]x1 = \frac{ - b - \sqrt{d} }{2a} = \frac{26 - 14}{2 \times 8} = \frac{12}{16} = \frac{3}{4} [/tex]

[tex]x2 = \frac{ - b + \sqrt{d} }{2a} = \frac{26 + 14}{16} = \frac{40}{16} = \frac{5}{2}[/tex]

Answer:

Step-by-step explanation:

First, we need to calculate the company's credit sales for the year:

Credit Sales = Receivables / (Days Sales Outstanding / 360)

Credit Sales = R180,000 / (60/360) = R1,080,000

Next, we need to calculate the company's net income:

Net Income = Profit Margin x Credit Sales

Net Income = 0.08 x R1,080,000 = R86,400

We can calculate the company's total equity as follows:

Total Equity = Total Assets x (1 - Debt Ratio)

Total Equity = R4,000,000 x (1 - 0.75) = R1,000,000

Finally, we can calculate the ROE:

ROE = Net Income / Total Equity

ROE = R86,400 / R1,000,000 = 0.0864 or 8.64%

Therefore, Third Rock Ventures' return on equity is 8.64%.

Answer:

A

Step-by-step explanation:

Based on the employee contribution, the Traditional IRA is the better choice because the employee will be taxed at a lower rate on lower earnings in retirement than during employment. The Option A is correct.

The Traditional IRA allows the employee to make contributions on a pre-tax basis, which reduces the taxable income during the years of contribution. This reduces the tax liability during employment years in the 33% tax bracket. During retirement, the employee will be in the 15% tax bracket, which means they will pay a lower tax rate on the withdrawals from the Traditional IRA.

In contrast, the Roth IRA contributions are made with after-tax dollars, and the withdrawals during retirement are tax-free. Since the employee is currently in the 33% tax bracket, they will pay a higher tax rate on their current income than they would in retirement. Therefore, the Traditional IRA is a better choice for the employee in this scenario.

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Answer:

9 Boys

Step-by-step explanation:

As we Know, 12 ÷ 4 is 3

3 x 3 is 9

therefore, it's 9

It took Rapunzel approximately 14.58 minutes to clean her room.

Cleaning refers to the process of removing dirt, dust, and other unwanted substances from a surface or an object.  

Let's start by converting the time to minutes.

15 1/2 minutes = 15.5 minutes

Let's now subtract the time she finished cleaning from the time she started cleaning:

15.5 - 0.92 = 14.58 minutes

Therefore, it took Rapunzel approximately 14.58 minutes to clean her room.

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Answer:

here is your answer  attached

Step-by-step explanation:

So the probability that Angela gets to go to the meeting is 2/5.

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain. Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is an important concept in many fields, including mathematics, statistics, physics, and engineering, and is used to make predictions, analyze data, and make decisions under uncertainty.

Here,

There are a total of 5 people in the club, so there are 10 possible pairs of people that could be chosen to go to the meeting. Since each pair is equally likely to be chosen, the probability of any particular pair being chosen is 1/10.

To determine the probability that Angela gets to go to the meeting, we need to count the number of pairs that include Angela. There are 4 other people in the club, so there are 4 possible pairs that include Angela. Therefore, the probability that Angela gets to go to the meeting is:

P(Angela) = number of pairs that include Angela / total number of pairs

= 4 / 10

= 2 / 5

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Answer:

63m+18

Step-by-step explanation:

9*7m is 63m and 9*2 is 18

Combine them and you get 63m+18!

The correct solution of given expression is C. (5 + 1 - 4) + (10/12 + 9/12 - 7/12) = 2 + 1 = 3.

What is expression?

In mathematics, an expression is a combination of symbols, numbers, and operators that represents a value or a relationship between values. Expressions can be composed of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and radicals.

We can simplify the expression inside the parentheses first and then subtract the fraction.

(5 5/6 + 1 3/4) - 4 7/12

= (33/6 + 7/4) - 55/12

= (11/2 + 7/4) - 55/12

= 22/4 + 7/4 - 55/12

= 29/4 - 55/12

To subtract these fractions, we need a common denominator of 12:

= (329)/(34) - (555)/(512)

= 87/12 - 275/60

= 87/12 - 11/4

= (29/4) - (33/12)

= (29/4) - (11/3)

To find the correct solution, we can simplify this expression:

(29/4) - (11/3) = (87/12) - (44/12) = 43/12

Therefore, the correct solution is C. (5 + 1 - 4) + (10/12 + 9/12 - 7/12) = 2 + 1 = 3.

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Answer:

To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:

x y

0 1

1 3

2 5

3 7

4 9

To get the value of y, we substitute each value of x into the equation and simplify:

When x = 0:

y = 2(0) + 1 = 1

When x = 1:

y = 2(1) + 1 = 3

When x = 2:

y = 2(2) + 1 = 5

When x = 3:

y = 2(3) + 1 = 7

When x = 4:

y = 2(4) + 1 = 9

Therefore, the table of values for the equation y = 2x + 1 is:

x y

0 1

1 3

2 5

3 7

4 9

It should be noted that to use the diagram to figure out how many 2/5-ounce doses Zoe has, she can divide the 7/3-ounce amount into equal parts of 2/5 ounce.

One way to do this is to divide 2/5 by 1/5 to get the number of 1/5-ounce portions that make up a 2/5-ounce dose, which is 2. Then, divide 7/3 by 2/5 to get the total number of 2/5-ounce doses she has.

So, using the diagram, Zoe can count the number of 1/5-ounce portions she has, and then divide that number by 2 to find out how many 2/5-ounce doses she has.

Alternatively, Zoe could redraw the diagram to show 2/5-ounce portions instead of 1/5-ounce portions, and then count the number of 2/5-ounce portions she has. She would need to divide the original diagram into equal parts of 2/5 ounce by drawing lines to divide each square into two parts. Then she can count the number of squares that represent a 2/5-ounce dose.

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let's bear in mind that on the III Quadrant, sine and cosine are both negative, whilst on the IV Quadrant, sine is negative and cosine is positive, that said

[tex]\cos(\alpha )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\hspace{5em}\textit{let's find the \underline{opposite side}} \\\\\\ \begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{5}\\ a=\stackrel{adjacent}{3}\\ o=opposite \end{cases} \\\\\\ o=\pm \sqrt{ 5^2 - 3^2} \implies o=\pm \sqrt{ 16 }\implies o=\pm 4\implies \stackrel{IV~Quadrant }{o=-4} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\tan(\beta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\implies \tan(\beta )=\cfrac{\stackrel{opposite}{-4}}{\underset{adjacent}{-3}} \\\\[-0.35em] ~\dotfill\\\\ \tan(\alpha + \beta) = \cfrac{\tan(\alpha)+ \tan(\beta)}{1- \tan(\alpha)\tan(\beta)} \\\\\\ \tan(\alpha + \beta)\implies \cfrac{ ~~\frac{-4}{3}~~ + ~~\frac{-4}{-3} ~~ }{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \cfrac{0}{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \text{\LARGE 0}[/tex]

The constant of proportionality of this table  is: k = 1/7.

The ratio between two quantities that are directly proportional is the constant of proportionality.

When y and x are two values that are direct proportion to one another, the proportionality constant k is defined as k=y/x.

Thus, using the x and its respective y values.

As the values are in direct proportion.

The constant of proportionality is:

k = 1/7

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Answer:

The probability of winning second prize in a 5/45 lottery is 1 in 8,145. This is calculated by taking the total number of possible combinations (8,145) and dividing it by the total number of possible outcomes (1).

Answer:

185 apples

Step-by-step explanation:

We have to work in reverse to find the original number of apples.

298-35= 263 apples and oranges after 20% apples sold

300-263 = 37 apples

37 apples = 20%

For total apples:
37 apples x 5 = 20% x 5

185 apples = 100% of apples

There were 185 apples at first

Hope that helps :)

Therefore, all values of x that are less than or equal to -3 make up the inequality's solution set.

An inequality in mathematics is a claim that two values or expressions are not equivalent to one another. A relationship between two values, where one value is larger than, less than, or not equal to the other, is expressed by an inequality. The inequality marks "" (less than), ">" (greater than), "=" (less than or equal to), ">=" (greater than or equal to), and "" can be used to denote an inequality (not equal to).

given

The disparity is as follows:

-3x + 2 ≥ 11

By subtracting 2 from both sides of the inequality and then dividing the result by -3, we can separate x on one side of the inequality .

-3x + 2 - 2 ≥ 11 - 2

-3x ≥ 9

x ≤ -3

Therefore, all values of x that are less than or equal to -3 make up the inequality's solution set.

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Answer:

The perimeter of a square is given by the formula P = 4s, where s is the side length. In this case, we are given that the perimeter is (12x - 32) feet, so we can set up an equation:

P = 4s

(12x - 32) = 4s

To solve for s, we can divide both sides by 4:

(12x - 32)/4 = s

Simplifying the expression on the left:

3x - 8 = s

Therefore, the expression in simplest form that represents the side length of the square wrestling mat is 3x - 8 feet.

Answer:

Step-by-step explanation:

the answer would be 3 x − 8 3x-8 3x−8 ft

The size of angle y in the quadrilateral is 130 degrees.

A quadrilateral is a polygon with 4 sides and angles. The quadrilateral above is a kite. The sum of angles in a quadrilateral is 360 degrees.

Therefore, let's find the angles in the quadrilaterals as follows:

y + y + 70 + 30 = 360(sum of angles in a quadrilateral)

2y + 100 = 360

2y = 360 - 100

2y = 260

divide both sides by 2

y = 260 / 2

y = 130 degrees

Therefore, the size of y is 130 degrees.

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