A dog shelter housed 24 puppies last month. This month, 39 puppies are at the shelter. What is the percent of change?

Integrating A = (1/2) ∫[0, π/8] (1 + cos(8θ)) dθ with respect to θ over the given limits will yield the area of one petal. Finally, multiplying this area by 4 will give the total area of the rose.

To find the area of one leaf of the rose curve defined by r = cos(4θ), where θ is the polar angle, we can use the formula for the area in polar coordinates.

The area formula in polar coordinates is given by A = (1/2) ∫[a, b] (r^2) dθ, where r is the polar function and θ ranges from a to b.

In this case, the polar function is r = cos(4θ), and we want to find the area of one leaf of the rose. The rose has four symmetrical petals, so we can find the area of one petal and multiply it by 4 to get the total area of the rose.

To find the area of one petal, we need to determine the limits of integration for θ. The rose curve completes one petal when θ ranges from 0 to π/8. Thus, the limits of integration for one petal are θ = 0 to θ = π/8.

Using these limits, the area of one petal is given by:

A = (1/2) ∫[0, π/8] (cos^2(4θ)) dθ.

We can simplify the integral by using the identity cos^2(4θ) = (1/2)(1 + cos(8θ)). Therefore, the integral becomes:

A = (1/2) ∫[0, π/8] (1 + cos(8θ)) dθ.

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We are given the following function:

The graph of this equation is a parabola for values of x < 2 and a line for values of 2<= x <= 6. The graph is the following:

The quadratic equation does not have solutions where both x and y are integers.

Here we have the following quadratic equation:

2x^2 + 5y^2 = 14

We want to check that we can't solve this equation with x and y integers, to see that, we can start by isolating one of the variables:

2x^2 + 5y^2 = 14

5y^2 = 14 - 2x^2

y^2 = (14 - 2x^2)/5

y = ±√((14 - 2x^2)/5)

Now, trivially:

(14 - 2x^2)/5

Is not an integer for any integer value of x, and this happens because 5 is not a factor of 14, thus, for any integer value of x the value of y that we get is non integer, then there aren't two integers that solve the quadratic equation.

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The helicopter must fly 481.1 m further to hover directly on the boat

A straight line is any line that extends both sides, without having any curved surface on it.

See attachment for the diagram that represents the rescue mission.

From the attached image, the horizontal distance (d) is calculated using the following sine ratio

\(\sin(90 - 27) = \frac{d}{540}\)

This gives

\(\sin(63) = \frac{d}{540}\)

Make d the subject

\(d = 540 \times \sin(63)\)

\(d = 481.1\)

Hence, the helicopter must fly 481.1 m further to hover directly on the boat

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The statement that is true about this function is C. As x approaches positive infinity, h(t) approaches positive infinity

Given that we have:

Therefore, when x approaches to negative infinity,

\(\lim_{x \to \infty} h(x)\)

= 2^(-∞-5)

= 2^(-∞)

= 1/2^∞

=0

Also, as x approaches negative infinity, function h(x) approaches 0.

Then when x approaches to positive infinity,

\(\lim_{x \to \infty} h(x)\)

2^(∞-5)

= 2^(∞)

= ∞

Therefore, As x approaches positive Infinity, h(x) approaches positive infinity.

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Explanation:

Start at the point (-1,-4). In order to move to (0,0), we must do the following two steps:

This indicates slope = rise/run = 4/1 = 4.

You could use the slope formula to get this same result.

(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

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Answer:

2652 is the correct answer

Answer:

y-5=-1/7(x-4)

Step-by-step explanation:

The equation of the line in point-slope form is y-5=-1/7(x-4)

Answer:

y = -1/7 x + 39/7

Step-by-step explanation:

An equation in point slope form is

y = mx+b  where m is the slope and b is the y intercept

We are given the slope

y = -1/7 x + b

Substitute in the point for x and y and solve for b

5 = -1/7(4) +b

5 = -4/7 +b

5 + 4/7 = b

5*7/7 + 4/7 = b

35/7 + 4/7 = b

39/7 = b

The equation is

y = -1/7 x + 39/7

If the shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches then, the perimeter of the shape is 91.4 inches.

To find the perimeter of the shape, we need to know the length of the curved boundary (the circumference of the half-circle) and the length of the straight boundary (the perimeter of the equilateral triangle).

The radius of the half-circle is half the length of the side of the equilateral triangle, which is 10 inches. Therefore, the circumference of the half-circle is:

C = πr = π(10) = 31.4 inches.

The perimeter of the equilateral triangle is 3 times the length of one side, which is 20 inches. Therefore, the perimeter of the triangle is:

P = 3s = 3(20) = 60 inches

Finally, the perimeter of the entire shape is the sum of the lengths of the curved and straight boundaries:

Perimeter = C + P = 31.4 + 60 = 91.4 inches.

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Complete Question

This shape is made up of one half-circle attached to a square with side lengths 11 inches. Find the perimeter of the shape.

You can use 3.14 as an approximation for π. help i don't know it.

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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Answer:

RISE/RUN

Step-by-step explanation:

Answer:

198

Step-by-step explanation:

So what we can do here is called process of elimination. We know it cannot be anything that does not end in 8 (always adding 10), so it can't be 242 or 230. Next, we can just list the terms :

78,88,98,108,118,128,138,148,158,168,178,188,198

198 is 12th (20-8), so it is our answer

Answer:

4x + x = 145,                            x=29 (shorter piece)

5x=145

x=145/5 = 29

Step-by-step explanation:

First, we have to do synthetic division.

The possible rational zeros are: -1,1,-3,3,-5,5,-15,15, lets try first with -1.

Let's find the solutions for the quadratic function

The zeros of the function are x=-3 , x=-5 and x=-1

Finally the factored function is : f(x)=(x+3)(x+5)(x+1)

A resposta correta é a letra c

Answer:

1.625

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Given equation,

→ 4x + 6 + 3 = 17

Then the value of x will be,

→ 4x + 6 + 3 = 17

→ 4x + 9 = 17

→ 4x = 17 - 9

→ x = 8/4

→ [ x = 2 ]

Hence, the value of x is 2.

The angle subtended at the center of the arc is 102⁰

Recall that to find the length of an arc on a circle, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.  If the central angle is measured in degrees, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.

Lenght of arc = A/360 *2пr

A = angle at center = ?

п = 22/7 r = radius = 840 feet

⇒1500 = A/360  2 *22/7 * 840

1500 = 36960A/2520

3780000= 36960A

making A the subject we have

3780000/36960 = A

A = 102.27

A= 102⁰

The angle is 102⁰

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To calculate the probability of a woman who owns 19 houses having fire damage in 1 of them in a year, we need to use the binomial distribution formula.

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials. In this case, the number of successes is the number of houses that will be damaged by fire, and the trials are the 19 houses that the woman owns.

The formula for the binomial distribution is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where X is the number of successes, n is the number of trials, p is the probability of success, and k is the number of successes we want to find. In this case, n=19, p=0.01 (since 10 houses out of 1000 are expected to be damaged by fire in a year), and we want to find the probability of k=1 success. Plugging in these values, we get P(X=1) = (19 choose 1) * 0.01^1 * 0.99^18 ≈ 0.17959. Therefore, the probability that a woman who owns 19 houses will have fire damage in 1 of them in a year is approximately 0.17959, rounded to five decimal places.

In summary, we used the binomial distribution formula to calculate the probability of a woman who owns 19 houses having fire damage in 1 of them in a year, given that records indicate that 10 houses out of 1000 are expected to be damaged by fire in any year. The result was approximately 0.17959, which is the probability that we were looking for.

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Answer:

B.

Step-by-step explanation:

it sounds about right to me. I'm not the best with math

Answer:

C

Step-by-step explanation:

∠ 5 and ∠ 8 are adjacent angles and are supplementary, sum to 180° , then

∠ 8 + ∠ 5 = 180°

∠ 8 + 45° = 180° ( subtract 45° from both sides )

∠ 8 = 135° → C

Hey there!

2^5 /6^5

2^5

= 2 * 2 * 2 * 2 * 2

= 4 * 4 * 2

= 16 * 2

= 32

6^5

= 6 * 6 * 6 * 6 * 6

= 36 * 36 * 6

= 1,296 * 6

= 7,776

= 32 / 7,776

= 32 ÷ 32 / 7,776 ÷ 32

= 1 / 243

≈ 2^5 × 6^-5

Therefore, your answer is: 2^5 × 6^-5

(Option D.)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

A real relationship, not accounted by other variables, is a causal relationship. This type of association suggests that one variable directly causes changes in the other. In other words, there is a cause-and-effect relationship between the two variables.

In this type of association, changes in one variable directly cause changes in the other variable, without any other variables influencing the relationship. This contrasts with spurious or indirect associations, where the relationship between two variables is due to the influence of other variables. To determine if an association is a real relationship, researchers often control for potential confounding variables to isolate the direct effect of the variables in question. However, it is important to note that establishing a causal relationship requires careful research design and data analysis to rule out the effects of other variables that could be influencing the relationship.

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Answer: 132 m is the length of the rope he needs to purchase if he makes 2 rounds of fence. Also the cost of the rope is ₹ 528, if it costs ₹ 4 per meter.

The Relationship between the points D(6, 9) and A(8, 12) can be described as a dilation with a factor of 1.5. Point A is located 1.5 times farther from the origin compared to point D, in both the horizontal and vertical directions. Additionally, A is an enlargement of D.

The relationship between the points D(6, 9) and A(8, 12) can be described in terms of dilations. In mathematics, a dilation is a transformation that changes the size of an object while keeping its shape intact. It involves scaling the object by a certain factor, either enlarging or reducing it.

To understand the relationship between D and A, we can calculate the dilation factor. The dilation factor, denoted by 'k', is the ratio of the corresponding side lengths or distances between the pre-image (original object) and the image (transformed object).

The dilation factor between D(6, 9) and A(8, 12):

First, we need to find the change in x-coordinates and y-coordinates:

Δx = 8 - 6 = 2

Δy = 12 - 9 = 3

Next, we calculate the dilation factor:

k = Δy / Δx = 3 / 2 = 1.5

The dilation factor of 1.5 indicates that the image point A is 1.5 times as far from the origin (point D) compared to the pre-image. This means that A is located at a greater distance from the origin than D, both horizontally and vertically.

Moreover, since the dilation factor is positive, the dilation is an enlargement. This means that A is enlarged with respect to D. The ratio of the corresponding side lengths will also be 1.5.

the relationship between the points D(6, 9) and A(8, 12) can be described as a dilation with a factor of 1.5. Point A is located 1.5 times farther from the origin compared to point D, in both the horizontal and vertical directions. Additionally, A is an enlargement of D.

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Answer:

33

Step-by-step explanation:

Answer:

\( \sqrt{8} = 2 \sqrt{2} \)

Step-by-step explanation:

In the equation we must first move 4 to the other side and change its sign

x^2 + 4 = 12

x^2 = 12 - 4

x^2 = 8

Then we find x:

x =

\(x = \sqrt{8} = \sqrt{2 \times 2 \times 2} = \sqrt{ {2}^{2} \times 2 } = 2 \sqrt{2} \)

Answer:

G

Step-by-step explanation:

3.6÷-0.5 is -7.2, so it's G