A circular pool has a radius of 3.2 meters. which is closest to the area of the pool

Answer:

=-21x-24

Step-by-step explanation:

Answer: I think the answer is 1046 x  −  26 please let me know if this is wrong please .

Step-by-step explanation:

The volume of the right rectangular prism is 720 cubic inches.

To find the volume of a right rectangular prism, you need to multiply its length, width, and height. In this case, the length is 12 inches, the width is 10 inches, and the height is 6 inches.

Volume = Length x Width x Height

Plugging in the values:

Volume = 12 in. x 10 in. x 6 in.

To calculate the volume:

Volume = 720 in³

Therefore, the volume of the right rectangular prism is 720 cubic inches.

Rounding to the nearest tenth, if necessary, means rounding the answer to one decimal place. The volume remains as 720 cubic inches without any rounding.

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Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

708

Step-by-step explanation:

Using trig we know that tan of an angle is equal to opposite/adjacent, using this we can conclude that tan(42)=top half of x/518 so we do tan(42)*518 to find the side of the top triangle and then do the same process for the bottom one but instead of using tan(42) you use tan(25)

A. To calculate the monthly payment for a loan of Rs. 150,000 at an 8% simple annual interest rate for 15 years, we can use the formula for monthly payment on a simple interest loan. The formula is: Monthly payment = (Loan amount + (Loan amount * Interest rate * Loan duration)) / (Loan duration * 12). Plugging in the values, we get: Monthly payment = (150,000 + (150,000 * 0.08 * 15)) / (15 * 12) = Rs. 1,400.

B. To determine the amount that can be withdrawn annually for 4 years from an investment of Rs. 100,000 at a 4% interest rate while leaving Rs. 0 in the account, we can use the formula for equal annual payments on an annuity. The formula is: Annual payment = \(Investment amount / ((1 - (1 + Interest rate)^(-Number of years)) / Interest rate)\). Plugging in the values, we get: Annual payment =\(100,000 / ((1 - (1 + 0.04)^(-4)) / 0.04)\) = Rs. 27,114.68.

C. To calculate the annual withdrawal amount for 20 years after depositing Rs. 4,000 per year for 15 years at a 12% interest rate, we can use the formula for equal annual payments on an annuity. The formula is the same as in question B. Plugging in the values, we get: Annual withdrawal amount = \(4,000 / ((1 - (1 + 0.12)^(-20)) / 0.12)\)= Rs. 14,573.48.

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Answer:

part a : If jose keeps jogging at that rate she would run 42/10, or 21/5 miles per hour

part b : she would run 21/10 miles per hour

Step-by-step explanation:

Multiply 6 to 7/10 of a mile because that would be 1 hour.

part b: 1 hour is 42/10 so 1/2 that would be 21/10.

Answer:

theres no picture that comes with it?

Answer: k = √27-i

Step-by-step explanation:

Answer:

Q1 y = 17/2x - 2

Q2 y = -3x + 14

Q3 y = 1/4x

Q4 y = 1/8x + 10

Step-by-step explanation:

See, the problem here is, you did everything to NOT convert the decimals into fractions. You would´ve had the right answers if you just learned to deal with the fractions. I´ll only going to be explaining 2 questions since there´s four of them.

Question Two

You take two points from the table, then you do y2 - y1 over x2 - x1.  -1 - 5 / 6 - 3 = -6/3 and 3 divided by -6 is -3. Which should give you "m" the slope. Which the slope for this question is -3. To find "b" our y-intercept, we will need to plug in the points from one of the two points we took in the chart into the format of y = mx + b. I chose to do, 5 = -3(3) + b. Multiply m times the x, 5 = - 9 + b. So now, we add 9 to itself to cancel itself out and add it to 5. Which gives us, 14 = b. So our equation is, y = -3x + 14

Question 3

This one is relatively easy, since looking at the table we know theres no b or m. Just a constant rate times x. The same thing we did the last question, take two points from the equation. y2 - y1 over x2 - x1. 1 - 0 over 4 - 0. Which gives us 1/4. 1/4 is our constant rate of change. y = 1/4x

The equation in slope intercept form to represent each table is

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The only possible rational zero of the polynomial is 0

The possible zeros of the polynomial P(v) = 14v^5 + 6v^4 + 5v^3 - 4v^2 + 2v can be found by using the Rational Root Theorem. This theorem states that if a polynomial has rational zeros, they will be in the form of p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

In this case, the constant term is 0 and the leading coefficient is 14. The factors of 0 are just 0, and the factors of 14 are 1, 2, 7, and 14. Therefore, the possible rational zeros of the polynomial are 0/1, 0/2, 0/7, and 0/14, which all simplify to just 0.

This means that the only possible rational zero of the polynomial is 0. However, there may also be irrational or complex zeros. To find these, we would need to use other methods, such as synthetic division or the quadratic formula.

In conclusion, the possible zeros of the polynomial P(v) = 14v^5 + 6v^4 + 5v^3 - 4v^2 + 2v are 0 and any irrational or complex numbers that satisfy the equation.

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Answer:

y=2x+3

Step-by-step explanation:

Y is the total amount that the family pays. 2x represents 2 dollars for every person (so, 2 multiplied by the number of people). Finally, 3 represents the initial amount that they must pay, no matter how many are in the car.

Answer:

The expression that could be used is 2x+3

Step-by-step explanation:

This expression can be used because it costs $2 per person. Therefore, you would need to multiply 2 by however many people there are (x representing the number of people). Then, you would need to add an additional $3 because that is the cost for the car.

Hope this helped!

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Answer:

You can see the graph in the picture attached.

The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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The air conditioner can circulate 16.2963 cubic yards of air per minute.

The air conditioner circulates 440 cubic feet of air per minute.

We know that 3 feet =  1 yard

Therefore cubic feet when converted to yard we have to divide the data by 27.

Therefore 440 cubic feet = 440 / 27 = 16.2963 cubic yards.

Therefore the air conditioner can circulate  16.2963 cubic yards of air per minute.

A conversion factor must be added, subtracted, multiplied, or divided throughout the multi-step process of unit conversion. It can also be essential to round the numbers and select the right number of significant digits. Different units of metric conversion are used to measure different parameters.

Unit conversion is a multi-step procedure that involves adding, subtracting, or multiplying by a number. There are many ways to measure weight, distance, volume and temperature.

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Tax amount = price x tax rate

Tax amount = 6.00 x 0.05 = 0.30

Total price = 6.00 + 0.30 = $6.30

Answer:

times by 1.17

Step-by-step explanation:

hope this helps!

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Answer: 0.017

Step-by-step explanation:

1.7% = 0.017

Answer:

y = 28

Step-by-step explanation:

Given that y varies directly as x and inversely as z then the equation relating them is

y = \(\frac{kx}{z}\) ← k is the constant of variation

To find k use the condition y = 4 when x = 2 and z = 7, then

4 = \(\frac{2k}{7}\) ( multiply both sides by 7 )

28 = 2k ( divide both sides by 2 )

14 = k

y = \(\frac{14x}{z}\) ← equation of variation

When x = 6 and z = 3 , then

y = \(\frac{14(6)}{3}\) = 14 × 2 = 28

The probability that a student will get exactly 13 questions right is 0.003.

Let E be an event that student gives 13 right answers.

According to the given question.

An exam contain total number of questions is 15.

Now,

The probability that a student gives a right answer, p = 1/2 = 0.5

And, the probability that a student gives a wrong answer, q = 1 - 1/2 = 1/2 = 0.5

Therefore,

The probability that a student will get exactly 13 questions right is given by

⇒ P(E) = C(15, 13) p^(13)q^(15 - 13)

⇒ P(E) = (15!/13!2!)(0.5)^13(0.5)^2

⇒ P(E) = (15(14)/2 ) ×  ( 0.00012) × 0.25

⇒ P(E) = 105 × 0.00012 × 0.25

⇒ P(E) = 0.00315

Hence, the probability that a student will get exactly 13 questions right is 0.003.

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We want to find the value of x, which is the hypotenuse of the triangle on the image.

We will see that the value of x is 5.77 units.

On the figure we can see a right triangle, we want to find the value of x, which is the hypotenuse of this triangle.

To do so, we can use the trigonometric relation:

cos(θ) = (adjacent cathetus)/(hypotenuse)

Where θ is an internal angle of the triangle, and the adjacent cathetus is the cathetus that forms the angle.

Here we can use θ = 30°, and the adjacent cathetus is the one that has a measure of 5 units,  then the value of x is given by the equation:

cos(30°) = 5/x

Solving that for x we will get:

x = 5/cos(30°) = 5.77

The hypotenuse measures 5.77 units.

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The random variation that occurs in any time series is called the irregular component.

The irregular component refers to the random fluctuations or unpredictable patterns that are observed in a time series. It represents the unexplained variability in the data that cannot be attributed to any identifiable pattern, such as seasonal patterns, cyclical effects, or trends. It is often characterized by short-term fluctuations that occur randomly and do not follow a specific pattern or trend.

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Answer:

The answer is D

Step-by-step explanation:

50,000 x 0.15 = 7500 and then you add the car cost (7500) it will add up to 15,000$

the answer has to be ( 4, -1 )

Step-by-step explanation:

( x, y) (4, -1 ) it lines up

Answer:

60°

Step-by-step explanation:

The given 60° angle and angle 2 are alternate interior angles of parallel lines p and q with transversal s, so they are congruent.

m<2 = 60°

Answer:

Based on the alternate interior angle theorem, the measure of angle 2 in the diagram given is: C. 60°

What is the Alternate Interior Angles Theorem?

The alternate interior angle theorem states that the measure of two alternate interior angles are congruent.

Angle 2 and 60° are alternate interior angles, therefore:

Angle 2 = 60° [alternate interior angle theorem].

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Step-by-step explanation:

The domain is the values of the relation, and the range is the resulting values of each of the values in the domain for the relation (roughly speaking).

We need to find any pair of values in the graph to answer this question. Then (from left to right):

(-1, 3), (-1, -3), (3, -1)

Then, the domain is:

{-1, 3}

The range is:

{-3, -1, 3}

Answer: One abutment

Step-by-step explanation: When a fixed bridge is created, there must be at least one abutment of the bridge.

The test statistic (1.407) is less than the critical value (1.645), we failed to reject the null hypothesis.

What is Proportion?

A proportion is an equation that defines that two given ratios are equivalent to each other. In other words, a ratio indicates the equality of two fractions or ratios.

A. To determine the sample proportion, we divide the number of individuals who reported using the Internet to download music by the total sample size:

Sample proportion = Number of users who download music / Total sample size

= 286/550

≈ 0.5207

Thus, the sample proportion is approximately 0.5207.

b. In order to perform a one-proportion z-test, we must check the conditions:

Random sample: The survey states that the sample is 550 Gen Y web users, assuming it was a random sample.

Independence: We assume that the responses of one site user do not affect the responses of other site users.

Sample size: Both np and n(1 - p) should be at least 10, where n is the sample size and p is the predicted proportion. In this case, np = 550 * 0.5207 ≈ 286.1335 and n(1 - p) = 550 * (1 - 0.5207) ≈ 263.8665. Both values ​​are greater than 10, so the condition is met.

Now we can perform a hypothesis test:

Null Hypothesis (H₀): The proportion of Gen Y web users who use the Internet to download music is equal to 0.5 (or 50%).

Alternative Hypothesis (H₁): The proportion of Gen Y web users who use the Internet to download music is greater than 0.5.

We will use a significance level of 0.05.

We can calculate the test statistic using the formula:

z = (sample proportion – predicted proportion) / sqrt[(hypothesized proportion * (1 – predicted proportion)) / n]

Enter the values:

z = (0.5207 - 0.5) / sqrt[(0.5 * (1 - 0.5)) / 550]

≈ 1.407

We can now find the critical value for a one-sided test at the 5% significance level. When we look up the z-value in a standard normal distribution table, we find that the critical value is approximately 1.645.

Since the test statistic (1.407) is less than the critical value (1.645), we failed to reject the null hypothesis. Therefore, the data does not provide sufficient evidence to conclude that the majority of Gen Y web users use the Internet to download music at the 5% significance level.

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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The false statement regarding the t-distribution is the t-distribution is completely defined by its degrees of freedom (df). The t-distribution is a family of distributions,

and the shape of the distribution depends on the degrees of freedom. As the degrees of freedom increase, the t-distribution gets closer to the standard normal distribution. However, the t-distribution is never completely defined by its degrees of freedom.

The other statements about the t-distribution are true. The t-distribution is centered at zero, has fatter tails than the standard normal distribution, and is completely defined by its degrees of freedom.

Here is a more detailed explanation of the false statement:

The t-distribution is a family of distributions, and the shape of the distribution depends on the degrees of freedom. The degrees of freedom are a measure of the sample size, and they determine how spread out the t-distribution is.

When the degrees of freedom are large, the t-distribution is very similar to the standard normal distribution. However, when the degrees of freedom are small, the t-distribution has fatter tails than the standard normal distribution. This means that the t-distribution is more likely to produce extreme values.

The t-distribution is never completely defined by its degrees of freedom because the shape of the distribution also depends on the sample mean. However, the degrees of freedom are the most important factor that determines the shape of the t-distribution.

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Answer:

1/9 quart in each glass

Step-by-step explanation:

2/3) / 6

(2/3) * (1/6) = 2/18 = 1/9 quart in each glass