x=6
Step-by-step explanation:
x ÷ 7 ÷10 = 3/35
(Use trial & error - since I knew x<7)
6/7 ÷ 10 = 3/35
Or
3/35 x 10
(then, simplify it to 6/7 or ÷ that by 1/7 to get 6)
Hope this helps!
draw lines to divide the shape into parts with equal area. Write the area of each part as a unit fraction
The unit fraction for an area (or anything, for that matter) divided into n equal parts is 1/n.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
We have to draw lines to divide the shape into parts with equal areas.
The unit fraction for an area (or anything, for that matter) divided into n equal parts is 1/n.
The area of the first shape as a unit fraction is 1/2.
The area of the second shape as a unit fraction is 1/3.
The area of the third shape as a unit fraction is 1/6.
For 2 equal parts, it is 1/2.
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The population sizes of many animal species rise and fall over time. Suppose that the population size of a certain species can be modeled by the following.
[tex]p(t) = 4096 - 1269cos(\frac{2\pi }{11} t)[/tex]
In this equation, p(t) represents the total population size and t is the time (in years). Suppose we start at t = 0 years.
During the first 11 years, when will the population size be 4700?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a year. (If there is more than one answer, enter additional answers with the "or" button.)
There are two answers
Solving the trigonometric equation, it is found that during the first 11 years, the population size will be of 4700 in 3.62 and 7.24 years.
What is the trigonometric equation for the population?It is given by:
[tex]p(t) = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]
It will be of 4700 when p(t) = 4700, hence:
[tex]p(t) = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]
[tex]4700 = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]
[tex]604 = - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]
[tex]\cos{\left(\frac{2\pi}{11}t\right)} = -\frac{604}{1269}[/tex]
[tex]\cos{\left(\frac{2\pi}{11}t\right)} = -0.47596532702[/tex]
[tex]\cos^{-1}{\cos{\left(\frac{2\pi}{11}t\right)}} = cos^{-1}{-0.47596532702}[/tex]
Then:
[tex]\frac{2\pi}{11}t = 2.06685766[/tex]
[tex]t = \frac{11 \times 2.06685766}{2\pi}[/tex]
[tex]t = 3.62k, k = 1, 2, ...[/tex]
Thus:
t = 3.62 x 1 = 3.62
t = 3.62 x 2 = 7.24.
The population size will be of 4700 in 3.62 and 7.24 years.
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If the probability that a person will die in the next year is 782/100000, what is the probability that the person will not die in the next year?
A. 0.00365
B. 99635
C. 0.99635
D. 0.99218
The answer is D) 0.99218
The probability that the person will not die in the next year is approximately 0.99218.
Option D is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The probability that a person will die in the next year is 782/100000.
To find the probability that the person will not die in the next year, we can subtract the probability of dying from 1, since the sum of the probabilities of dying and not dying is always 1.
1 - 782/100000 = 99218/100000
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common factor, which is 2:
99218/100000
= 49609/50000
This fraction can be converted to a decimal by dividing the numerator by the denominator:
= 49609/50000
= 0.99218
Therefore,
The probability that the person will not die in the next year is approximately 0.99218.
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Write the equation for each translation of the graph of y=|1/2x-2| +3.
one unit to the right
An equation is formed of two equal expressions. The equation of the new graph will be y=|1/(2x-4)|+3.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation given is [tex]y=\left|\dfrac{1}{2x-2}\right|+3[/tex], which is needed to be translated 1 unit to the right therefore, the value of x should be decreased by 1. Therefore, the equation of the new graph will be,
[tex]y=\left|\dfrac{1}{2(x-1)-2}\right|+3\\\\\\y=\left|\dfrac{1}{2x-2-2}\right|+3\\\\\\y=\left|\dfrac{1}{2x-4}\right|+3[/tex]
Hence, the equation of the new graph will be y=|1/(2x-4)|+3.
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Karen makes $6 per hour baby-sitting and $13 per hour giving music lessons. One
weekend, she worked a total of 8 hours and made $55. How many hours did she spend
baby-sitting?
a. 9
b. 1
C. 2
D.7
The total hours that Karen spent baby-sitting on the weekend is 7 hours.
What are the equations that represent the question?a + b = 8 hours equation 1
6a + 13b = 55 equation 2
Where:
a = hours spent baby-sitting b = hours spent giving music lessonsHow many hours was spent babysitting?Multiply equation 1 by 13
13a + 13b = 104 equation 3
Subtract equation 2 from equation 3
7a = 49
a = 7 hours
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20 workers can produce 1000 products in 10 hours.
Assuming the efficiency per worker remains the same, how many products can 15 workers produce in 5 hours?
Using proportions, it is found that 375 products are produced with 15 workers in 5 hours.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that the rule of three are given as follows:
1000 products - 20 workers - 10 hours.
x products - 15 workers - 5 hours.
The measures are direct proportional, hence:
[tex]\frac{1000}{x} = \frac{20}{15} \times \frac{10}{5}[/tex]
[tex]\frac{1000}{x} = \frac{40}{15}[/tex]
Applying cross multiplication:
40x = 15(1000)
x = 15(1000)/40
x = 375.
375 products are produced with 15 workers in 5 hours.
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please help me with math i’ll give you brainlist
PLEASE HELP PLEASE HELP
Answer:
D -- Triangular prism
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Luisa sells stuffed animals. She sells a stuffed elephant for $34.90, and the sales tax is 9% of the sale price. About how much is the sales tax on the elephant?
Step-by-step explanation:
Topic :- Percentage Increase
Percentage Increase Formula= Cost price × Rate/one hundred
⇒ 34.90 × 9/100
⇒ 314.1/100
⇒ 3.141
Therefore, the sale tax of the elephant would be $3.141
Answer:
3.15
Step-by-step explanation:
Choose the inequality represented in the graph.
A. y ≤ x + 9
B. y ≥ -x + 9
C. y < -x + 9
D. y ≤ -x + 9
Answer:
D
Step-by-step explanation:
The solid line is y = -x + 9, and everything below it is shaded, so the correct sign is less than or equal to.
Putting the two pieces of information together, the equation you get is:
D. y ≤ -x + 9
What are the coordinates of vertex J of the pre-image?
O (0, -4)
O (0, -1)
0 (0,0)
0 (0, 4)
Answer:
(0, -4)
Step-by-step explanation:
J: (0, -2)
Since the equation: [(1/2) x, (1/2) y] was used to create the image, the opposite would create the answer.
x: (2) × 0 = 0
y: (2) × (-2) = -4
(0, -4)
I hope this helps!
The Wisconsin Badgers football team has 2 22 regular season games and 1 11 bowl game left in their season. If they win all 3 33 games, they will make a total of 100 100100 million dollars in revenue. If they win their bowl game, but not all 3 33 games, they will make a total of 20 2020 million dollars in revenue. Under any other outcome, they will make just 10 1010 million dollars in revenue. Sports analysts are predicting that the Badgers have a 60 % 60%60, percent chance of winning each regular season game and a 40 % 40%40, percent chance of winning their bowl game. Sports analysts assume that each game is independent
Answer: 25.52
Step-by-step explanation: correct on khanacademy
Which statement is true for all real values of theta?
Answer:
(a) sec²(θ) -tan²(θ) = 1
Step-by-step explanation:
The identity relation between sec(θ) and tan(θ) is ...
tan²(θ) +1 = sec²(θ)
__
When tan²(θ) is subtracted from both sides of this equation, the result matches the first choice:
sec²(θ) -tan²(θ) = 1
_____
Additional comment
This is a variation of the "Pythagorean" relationship between sine and cosine. There is a similar relation between cot²(θ) and csc²(θ).
[tex]\sin^2\theta+\cos^2\theta=1\\\\\dfrac{\sin^2\theta}{\cos^2\theta}+\dfrac{\cos^2\theta}{\cos^2\theta}=\dfrac{1}{\cos^2\theta}\qquad\text{divide by $\cos^2\theta$}\\\\\tan^2\theta+1=\sec^2\theta[/tex]
Sara is a marketing analysis manager for a top cereal producer. Part of her job is to review product sales to grocery chains and if the contracted product shelf placement is the optimal location to maximize sales. Because of the large data sets, she is only interested in creating a small number of clusters to view the results. What type of clustering method would work best
If she is only interested in creating a small number of clusters.The type of clustering method that would work best is: k-means clustering.
What is k-means clustering?k-means clustering can be defined as a quantization techniques that is used to divide or seperate or data into number of groups in which each of the observation is linked to a prototype cluster or vectors.
Based on the given scenario k-means clustering method is the best choice as this will result in efficiency and make her work faster and easier.
Therefore the type of clustering method that would work best is: k-means clustering.
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what are the properties that equilateral triangles and isosceles triangles have in common
Answer:
At least 2 sides that are the same lenth
Step-by-step explanation:
Equilateral triangle - All the sides have the same lenth
Isosceles triangle - 2 sides that are the same lenth
Hayden went to the park to play for an hour. He spent one-fourth of the hour
swinging. How many minutes did Hayden swing?
Answer:
15 minutes.
Step-by-step explanation:
One hour is equal to 60 minutes. Since you're asking for 1/4, or a quarter, of that amount of time, we should divide 60 by four.
Using a calculator, you'd get 15 asap. Without one, if you can divide 60 in half (that equals 30), then divide that half in half again (that equals 15), you'll have divided it into quarters and gotten your answer.
Help hemp help math math
please help and answer as soon as possible
Answer:
c
Step-by-step explanation:
did it got a 100
Please mark brainliest
What is 25% of 48?
What is 150% of 30?
Answer:
#2 is 12 and #3 is 45
Step-by-step explanation:
Step 1: Determine 25% of 48
[tex]48 * \frac{25}{100}[/tex]
[tex]48 * 0.25[/tex]
[tex]12[/tex]
Step 2: Determine 150% of 30
[tex]30 * \frac{150}{100}[/tex]
[tex]30 * 1.5[/tex]
[tex]45[/tex]
Answer: #2 is 12 and #3 is 45
12 less than the product of what number and 3 is 36
Answer:
16
Step-by-step explanation:
3x - 12 = 36
3x = 48
x = 16
The circumference of the Earth is roughly forty thousand kilometres. Use this value to calculate the distance from the surface to the centre of the Earth.
Answer:
The distance to the center of the earth from the equator is 6,378 km or 33,963 miles, whereas the distance to the center of the earth from a pole is 6,357km or 3,950 miles. Complete answer: The average distance from the surface of the earth to its center is 6,371 km or 3,959 miles.
Consider a sound at 91.9 dB and a second sound at 29.1 dB. How many times louder is the first sound compared to the second (to the nearest hundredth)?
Answer:
91.9/29.1=3.15807560137
so around 3.16
Help me please i’ll mark u as brainliest:(
Answer:
It's X=3y = -9
Step-by-step explanation:
helping!!!
Establish the identity.
sin theta * sec theta = tan theta
Answer:
In the picture is how to solve it
Step-by-step explanation:
Answer:
We are multiplying sin theta by sec theta, so we first start with valuing sec theta. Re-evaluate sec theta as sec(theta), and get the reciprocal.
[tex]sin(theta) * \frac{1}{cos(theta)}[/tex] <-- reciprocal
Combine sin() with the reciprocal of sec theta.
[tex]\frac{sin(theta)}{cos(theta)}[/tex]
Rewrite this combination as tan(theta)
[tex]tan(theta)[/tex]
Since the sides are equal, they count as an identity.
[tex]sin(theta) * sec(theta) = tan(theta)[/tex]
That said, sin(theta) × sec(theta) = tan(theta) is an identity.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Step-by-step explanation:
< 2 = 37 = <4 (vertically opposite angles)
<3 = 180-37 = 144
<1 = 144
<2 = <8 = 37 ( alternate angles)
<3 = <5 = 144 (alternate angles)
<8 = <6 = 37 (vertically opposite angles)
<5 = <7 = 144 (alternate angles)
Functions pls help will give brainlest
Answer(s)
Problem 15: x = -16
Problem 12: y = 20
Problem 13: y = 7
Problem 14: x = -7
What is the value of a2 + 3b ÷ c − 2d, when a = 3, b = 8, c = 2, and d = 5?
Enter your answer below.
Answer:
the answer is 8
Step-by-step explanation:
a2+3b÷c-2d
3×2+3×8÷2-10
6+24÷2-10
6+12-10
18-10
=8
Tickets to games of a local basketball team cost $12 for students and $16 for adults. For one game, $3700 was collected and 250 tickets were sold. How many of each kind of ticket were sold? Write and solve a system of equations.
pleasee help I don't understand
Answer:
Let's say a factor in the watercycle is vegetation. Deforestation leads to less vegetation which means less transpiration which affects how the water reenters the atmosphere. In addition, the trees can no longer catch water in their leaves, absorb it, or filter pollutants through their roots before it runs off into say a local body of water.
Answer: i can not see it
Step-by-step explanation:
Problem Situation: Gabi buys tickets to the movies.
She buys 1 adult ticket for $14 and 3 youth tickets.
She pays a total of $35.
What is the cost of each youth ticket?
Complete the equation to represent this situation.
The letter t represents the cost of a youth ticket.
iti
t + 14 =
Answer:
each youth ticket costs $7
Explanation:
Let the cost of each youth ticket be "y"
Solve for y:
$14 + 3y = $353y = $35 - $143y = $21y = $7Answer:
t = 7
Step-by-step explanation:
total cost = 35
price per adult = 14x -> only 1 adult so 14(1) = 14
35 = 14(1) +3t
35-14 = 3t
21 = 3t
t=7