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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.

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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Answer:

91.9/29.1=3.15807560137

so around 3.16

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:

Answer:

It's X=3y = -9

Step-by-step explanation:

helping!!!

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

Answer: 25.52

Step-by-step explanation: correct on khanacademy

Answer:

4 6 9 6 8 6 8 hope that helps

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.

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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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

An equation is formed of two equal expressions. The equation of the new graph will be y=|1/(2x-4)|+3.

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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Answer:

see below

Step-by-step explanation:

450 + 60x <= 900

60x <= 450

x <= 7.5      ~ 7 weeks     After 7 weeks you will not have enougn money for a full week's worth of chow.  

Answer:

c

Step-by-step explanation:

did it got a 100

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Using proportions, it is found that 375 products are produced with 15 workers in 5 hours.

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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The unit fraction for an area (or anything, for that matter) divided into n equal parts is 1/n.

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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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)

Answer:

83

Step-by-step explanation:

x° + 97° = 180° ( Angles in linear pair)

-> x° = 180° - 97°

-> x° = 83°

-> x = 83

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]

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!

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!

Answer:

1/4

Step-by-step explanation:

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.

Answer(s)

Problem 15: x = -16

Problem 12: y = 20

Problem 13: y = 7

Problem 14: x = -7

Step-by-step explanation:

Topic :- Percentage Increase

= 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:

Answer:

16

Step-by-step explanation:

3x - 12 = 36

3x = 48

x = 16

3√y^2

We can write it as,

⇒ y 2/3

Because,

n√a  = a 1/n

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The total hours that Karen spent baby-sitting on the weekend is 7 hours.

a + b = 8 hours equation 1

6a + 13b = 55 equation 2

Where:

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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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