An animal reserve has 32,000 elk. The population is increasing at a rate of 12% per year. How long will it take for the population to reach 64,000? If necessary, round your answer to the nearest tenth.

1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³

2. Volume of the cylinder = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³

Diameter of the tennis ball = 4 in. (given)

1. Volume of 1 tennis ball = volume of sphere = 4/3πr³

r = 1/2(4 in.) = 2 in.

Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³

2. Volume of the cylinder = πr²h

Radius of the cylinder (r) = 1/2(4 in.) = 2 in

Height of the cylinder (h) = 3(4 in.) = 12 in

Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)

= 150.8 - 3(33.51) = 50.27 in.³

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Answer:

x = 7

y = 4

Step-by-step explanation:

Measure of all the angles on right side triangle are equal. So, it is an equilateral triangle.

Therefore,

5y - 4 = 3x - 5..... (1)

Next, measure of two angles in the left side triangle are same, so it is an isosceles triangle.

Therefore,

y + 12 = 3x - 5......(2)

(By isosceles triangle property)

From equations (1) & (2)

5y - 4 = y + 12

5y - y = 12 + 4

4y = 16

y = 16/4

y = 4

Plug y = 4 in equation (2), we find:

4 + 12 = 3x - 5

16 + 5 = 3x

21 = 3x

x = 21/3

x = 7

Answer:

63

Step-by-step explanation:

x = # in ones place

y = # in tens place

x + y = 9

y = x - 3

substitute:

x + x-3 = 9

2x - 3 = 9

2x = 12

x = 6

y = 3

Answer:

JL = √38.

a = 1 and b = 38.

Step-by-step explanation:

Using Pythagoras:

(JL)^2 = (√8)^2 + (√30)^2

(JL)^2 = 8 + 30 = 38.

JL = √38.

Answer:

The radius is 6

\( \sqrt{v \div \pi \times h =} \)

=791.28/3.14×7.0

=

\( \sqrt{36} \)

=6

The radius of cylinder is 3.764 cm.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Finding an object's volume can help us determine how much material is needed to fill it, such as how much water is needed to fill a bottle, aquarium, or water tank.

Given volume of cylinder = 791.28 cm³

height  = 7.0 inches

so, 1 inch  = 2.54 cm

7 inch  = 2.54 x 7 = 17.78 cm

height  = h = 17.78 cm

volume of cylinder = πr²h

where r = radius

V = πr²h

791.28 = 3.14(17.78)r²

r² = 791.28/55.8292

r² = 14.1732

r = √14.17732

r  = 3.764 cm

Hence the radius  is 3.764 cm.

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Answer:

This is a function. Use y=mx+b equation

Step-by-step explanation:

To find the x and y values, simply plug in 0.98 to m. For every pound of peaches, you pay $0.98. The equation would be y=0.98x, where x is the number of pounds of peaches and y is the total cost.

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Answer:

250

Step-by-step explanation:

1600/6.4

The optima of the Lagrangian objective function is minimized at z = 54,000. Also the Lagrange multiplier solution corresponds to a minimum.

The optimal values for the Lagrangian objective function can be determined by solving the given optimization problem using Lagrange multipliers. We have the objective function z = 6x₁² + 12x₂² and the constraint g(x₁, x₂) = 90 = x₁ + x₂.

To find the optimal values, we form the Lagrangian function L(x₁, x₂, λ) = f(x₁, x₂) - λ(g(x₁, x₂) - 90). Here, λ is the Lagrange multiplier.

Taking the partial derivatives with respect to x₁, x₂, and λ, and setting them to zero, we obtain the following equations:

∂L/∂x₁ = 12x₁ - λ = 0

∂L/∂x₂ = 24x₂ - λ = 0

∂L/∂λ = x₁ + x₂ - 90 = 0

Solving these equations simultaneously, we find x₁ = 30, x₂ = 60, and λ = 360. Substituting these values back into the objective function, we get z = 6(30)² + 12(60)² = 54,000.

To determine whether this is a maximum or minimum, we can examine the second partial derivatives of the Lagrangian. Calculating the second partial derivatives, we have:

∂²L/∂x₁² = 12

∂²L/∂x₂² = 24

Since both second partial derivatives are positive, we can conclude that the Lagrange multiplier solution corresponds to a minimum. Therefore, the optima of the Lagrangian objective function is minimized at z = 54,000.

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Answer:

Because if you give the power of 2 to all of them you get a different number

1. 20 squared+ 21 squared = 841

Answer to number 1

Answer: a. x^3 - x^2 + x + 3

You have to expand the terms by multiplying them.

(x^2 - 2x + 3)(x + 1)

= x^3 + x^2 - 2x^2 - 2x + 3x + 3

= x^3 - x^2 + x + 3

Answer:

option A is the correct answer of this question...

Step-by-step explanation:

x3 -2x²+3x + x²-2x +3

x³- x²+x +3

Answer:

6

Step-by-step explanation:

Answer:

-1.25

Step-by-step explanation:

a=15

b=-5

If you plug the values into the equation you get

-5^2/15+5

-25/20

If you simplify that you will get:

-4/5

Or:

-1.25

In the context of testing if the average spending of female customers may be higher than that for male customers, we need to complete the hypothesis.

The appropriate relationship for the null hypothesis (H0) would be "equality" since it assumes that there is no difference in the average spending between female and male customers. The null hypothesis is typically denoted as H0: μ_female = μ_male, where μ represents the population mean spending for female and male customers, respectively. On the other hand, the alternative hypothesis (Ha) would have the "inequality" relationship, as we are testing if the average spending for female customers is higher than that for male customers. The alternative hypothesis can be denoted as Ha: μ_female > μ_male, indicating that there is a difference and the average spending for female customers is greater than that for male customers.

By specifying the appropriate relationships in the hypotheses, we can conduct statistical tests to determine if there is sufficient evidence to support the claim that the average spending of female customers is indeed higher than that for male customers.

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Answer:

11.43%    

89 free throws would miss

Step-by-step explanation:

In order to find the percentage probability of Joe making a free throw show we need to the odds given and then multiply that decimal value by 100 like so...

4 / 35 = 0.11428

0.11428 * 100 = 11.43% rounded up

If Joe were to shoot 100 free throws 11.43% would most likely go in but since the actual number can only be a whole number it would mean that 11 of those 100 free throws would go in.

100 - 11 = 89

Therefore, 89 free throws would miss on average.

Answer:

I believe its A

Step-by-step explanation:

Answer:C

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

The sample variance is the most accurate point estimate of the population variance sigmasquared.

The best point estimate of the population variance is the sample variance. This is because the sample variance is an unbiased estimator of the population variance, meaning that it is the most accurate estimate of the population variance. The sample variance is calculated by taking each individual data point, subtracting the sample mean, squaring the result, and then summing the results. The sample variance then is the sum of these squared differences divided by the number of data points minus one. This is a consistent estimator, meaning that it will always produce the same result even if the sample size is different. This is why the sample variance is the best point estimate for the population variance.

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Step-by-step explanation:

The area A of a rectangle is given by multiplying its length and width. In this case, the length is 7x - 1 units and the width is 2x + 3 units. Therefore, the area of the rectangle is:

A = (7x - 1)(2x + 3)

= 14x^2 + 19x - 3

Hence, the area of the rectangle is 14x^2 + 19x - 3 square units.

Answer:

14x^2+19x-3

Step-by-step explanation:

you have to times them together so

(7x-1)(2x+3)

14x^2+21x-2x-3

=14x^2+19x-3

Answer:

Your answer is 2 gallons

Step-by-step explanation:

The linear function that describe the situation is; 3730 = 900 + 370x.

If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.

The variables who take their values based on some other variables' values are called dependent variables.

Given; The cost of leasing a car is $900 for the down payment and processing fee plus $370 per month.

We need to find For how many months can you lease the car with $3730.

Let x be the months.

The equation for the linear function;

3730 = 900 + 370x

Therefore, the linear function that describe the situation is; 3730 = 900 + 370x.

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Two samples are matched pairs because there are two samples and each pair in the two samples have about the same GPA indicating they have similar characteristics. Correct option is A.

This is because the paired t-test is used when we have two related samples or when the same sample is measured twice, such as before and after a treatment.

In this case, the two samples being compared are students' GPAs before and after a particular intervention or treatment. Since the same group of students are being measured twice, they are matched pairs and the paired t-test is appropriate to use.

Option B is not a suitable answer because the fact that the samples are both MBA majors does not necessarily make them matched pairs. Option C is also not a suitable answer because having equal numbers of data does not necessarily make the samples matched pairs.

Option D is not a suitable answer because it does not provide any explanation as to why the paired t-test is being used.

Therefore, correct option is A.

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Complete question is:

Why do we use the paired t test for these data? In other words, why these two samples are matched pairs? Select the most suitable answer. A. There are two samples and each pair in the two samples have about the same GPA indicating they have similar characteristics.

B. There two samples of MBA majors.

C. There are two samples with equal number of data.

D. None of these.  

Answer:

I and IV

Step-by-step explanation:

I is a graph with three inequalities, not a function.  IV is an algebraic equation, and again, not a function.  

Plzzzz give me Brainliest!!!!!  

(a)image averaging is a very effective method of reducing noise in images. Image averaging reduces noise by adding multiple images of the same scene together and then dividing by the number of images added.The conditions that must be fulfilled for the image averaging method are as follows:-

(i) The background of the image must not move between each image capture.- The noise present in the image must be random.- The source of the noise must be consistent.

(ii)The mathematical expression that characterizes the noise in the resultant image when K images are averaged, as K becomes large is given by;sigma_n^2/K

Where;sigma_n^2 is the variance of the noise and K is the number of images that have been averaged.

Therefore, as K increases, the variance of the noise in the resultant image reduces, and thus, the noise reduces.When either method can be used for noise reduction, the temporal image averaging method would be the preferred method to select.

(iii)This is because it uses a sequence of images that are taken at different times, usually at high speeds, to produce a single image that is free of noise. This method is best when dealing with fast-moving objects, and it can be used in situations where the camera cannot be stabilized and is experiencing unwanted vibration or shaking.

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The balance at the beginning of the second month on the credit card, based on a 12.75% APR, is $28,02.85.

The APR or annual percentage rate is the cost of finance charged to the borrower of a loan or a credit cardholder.

When the APR is divided by 12 months, it results in MPR, which can be used to determine the interest.

Credit card balance at the beginning of the first month = $2,744.69

APR = 12.75%

Monthly APR = 1.0625% (12.75/12)

Late Fee = $29

Ending balance at the beginning of second month = $28,02.85 ($2,744.69 x 1.010625% + $29)

Thus, the balance at the beginning of the second month on the credit card, based on a 12.75% APR, is $28,02.85.

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9514 1404 393

Answer:

  C, D, B, A

Step-by-step explanation:

The values shown are ...

So, from greatest to least, the values are ...

  √9 +√2 ≈ 4.41

  8/3 ≈ 2.67

  √5 -5 ≈ -2.76

  -π ≈ -3.14

The total area of the given composite figure is 24 units² respectively.

The quantity of unit squares that cover a closed figure's surface is its area.

Square units like cm² and m² are used to measure area.

A shape's area is a two-dimensional measurement.

The space inside the perimeter or limit of a closed shape is referred to as the "area."

Area of ABGH:

l*b

5*3

15 units²

Mark point V as shown in the figure below.

Area of DVFE:

l*b

4*2

8 units²

Area of BCV:
1/2 * b * h

1/2 * 2 * 1

1 * 1

1 units²

Total area of the figure: 1 + 8 + 15 = 24 units²

Therefore, the total area of the given composite figure is 24 units² respectively.

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Answer:

C ( 5,-5)

D ( 5,4)

E (10, -5)

Step-by-step explanation:

The y coordinate is just increased by 3

(y, x+3)

C(5,-8)

D(5,1)

E(10, -8)