Rachael is putting up a fence around her pool. The pool has a diameter of 12 ft. There is a sidewalk around the pool that extends 3 feet out from the side of the pool. How many feet of fencing will she need to go around the sidewalk?

Answer:

9) 5

10) 72

11) 6

Step-by-step explanation:

Hello!

Replace a, b, and c with the values given for each variable.

The solution for #9 is 5.

Use the same values for the variables and evaluate the equation.

The solution for #10 is 72.

Use the same values for the variables and evaluate the equation.

The solution for #11 is 6.

Answer:

The Answer is A

Step-by-step explanation:

58(0.2) = 11.6 + 58 = 69.6

it's a

now have a nice DaY

Answer:

$ 12.50 = $ 25/2

Step-by-step explanation:

Money spent = $ 12.50

To convert the amount in fractions

\(12.50\\\\=\frac{1250}{100}\\\\=\frac{125}{10}\\\\=\frac{25}{2}\)

So, the correct option is $25/2

{(1,1),(4,4),(14, 14)} is the only relation that is an equivalence on the set A = {1,4,14}. Therefore, option None of the others is the correct option.

The relation that is an equivalence on the set A = {1,4,14} is {(1,1),(4,4),(14, 14)}. An equivalence relation is a relation that satisfies three properties. These properties are: Reflexivity: This means that every element in the set is related to itself.

This means that if a is related to b, then b is related to a. Transitivity: This means that if a is related to b, and b is related to c, then a is related to {(1,1),(4,4),(1,4),(4,1),(14, 14)} is the given relation on the set A = {1,4,14}.Which relation is an equivalence on the set A = {1,4,14}?{(1,1),(4,4),(14, 14)} is the relation that is an equivalence on the set A = {1,4,14}. The given relation on the set A = {1,4,14} is {(1,1),(4,4),(1,4),(4,1),(14, 14)}.An equivalence relation is a relation that satisfies three properties: reflexivity, symmetry, and transitivity.

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We often see stone barriers or cage-like materials set up along coastal shores and river banks. These serve to prevent erosion as they can assist in restricting the water flow while also preventing the bank from eroding. Such areas are prone to erosion because there is nothing to hold them together.

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Answer:

32

Step-by-step explanation:

negative times negative = positive

Daniel's method is incorrect, as the interquartile range is given by the difference between the third quartile and the first quartile.

The interquartile range of a data-set is by the difference of the 75th percentile(Q3) by the 25th percentile(Q1) of the data-set.

The quartiles are described as follows:

From this, we get that the quartiles are related to the median of the set, that is, neither is given by the highest and by the lowest values, hence the interquartile range is given by the difference between the third quartile and the first quartile.

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Answer:

tan J

Step-by-step explanation:

From the given trinagle;

JK = Adjacent = 10

KL = Opposite

JL  = Hypotenuse

m<J = 20degrees

Using the SOH CAH TOA identity

tan theta = opp/adj

tan m<J = KL/JK

tan 20 = KL/10

KL = 10tan20

Hence tan J can be used to determine KL

A

it's pretty easy tbh all you have to do it multiplu

The formula for calculating the effective annual rate of interest with quarterly compounding is:

(1 + r/4)^4 - 1 = A/P

where r is the quarterly interest rate, A is the final amount, and P is the principal.

In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.

So we have:

(1 + r/4)^4 - 1 = 3000/2000

(1 + r/4)^4 = 1.5

1 + r/4 = (1.5)^(1/4)

r/4 = (1.5)^(1/4) - 1

r = 4[(1.5)^(1/4) - 1]

To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:

effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%

Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.

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The 95% confidence interval for the slope will be B. (-0.308,-0.019).

The confidence interval based on the information and diagram will be:

= -0.1636 + 2.228 × 0.06488

= 0.019

Also, -0.1636 - 2.228 × 0.06488

= -0.308

In conclusion, the correct option is (-0.308,-0.019).

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The triangle does not exist, as the property, the sum of two sides of a triangle is greater than the third side length of the triangle does not hold true.

Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric forms is represented by the symbol △ and consists of three connected vertices. Triangles may be categorized into a number of different varieties according to their sides and angles.

It is a triangle's property that the sum of any two sides of a triangle is greater than the third side.

Here sides given are 3 m, 5 m, 9 m.

Let us add the sides length 3 m and 5 m

3 m + 5 m = 8 m

Compare this with the third-side length of the triangle

8 m < 9 m

So, the property does not hold true.

So, the triangle does not exist.

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By  null hypothesis the given statement " in a two-sided test for mean, we do not reject if the parameter is included in the confidence interval."is True.

In a two-sided test for mean, if the null hypothesis is that the population mean is equal to some value μ0, then the alternative hypothesis is that the population mean is not equal to μ0.

If we compute a confidence interval for the population mean using a certain level of confidence (e.g. 95%), and the confidence interval includes the null value μ0, then we fail to reject the null hypothesis at that level of confidence.

This is because the confidence interval represents a range of plausible values for the population mean, and if the null value is included in that range, we cannot say that the data provides evidence against the null hypothesis.

However, if the confidence interval does not include the null value μ0, then we can reject the null hypothesis at that level of confidence and conclude that the data provides evidence in favor of the alternative hypothesis that the population mean is different from μ0.

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Answer:

0.72

Step-by-step explanation:

hope that helps!

To solve such questions we need to know more about expression.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.  

\(2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}+5\sqrt[4]{x}-4\sqrt[4]{32y}+5\sqrt[4]{x}-16\sqrt[4]{2y}+13\sqrt[4]{4}-10\sqrt[4]{2y}+35\sqrt[4]{x}-18\sqrt[4]{2y}\)

rearranging we get,

\(=2\sqrt[4]{16x}+3\sqrt[4]{81x}+5\sqrt[4]{x}+5\sqrt[4]{x}+13\sqrt[4]{4}+35\sqrt[4]{x}-2\sqrt[4]{2y}-4\sqrt[4]{32y}-4\sqrt[4]{32y}-16\sqrt[4]{2y}-10\sqrt[4]{2y}-18\sqrt[4]{2y}\)

we know that,

\(\sqrt[4]{81}=3\\\sqrt[4]{16}=2\\\sqrt[4]{32}=2\sqrt[4]{2}\\\)

therefore,

\(=4\sqrt[4]{x}+9\sqrt[4]{x}+5\sqrt[4]{x}+5\sqrt[4]{x}+13\sqrt[4]{x}+35\sqrt[4]{x}-2\sqrt[4]{2y}-8\sqrt[4]{2y}-8\sqrt[4]{2y}-16\sqrt[4]{2y}-10\sqrt[4]{2y}-18\sqrt[4]{2y}\)

taking \(\sqrt[4]{x}\) and \(\sqrt[4]{2y}\) as common

=\([(\sqrt[4]{x})(4+9+5+5+13+35)]-[(2+8+8+16+10+18)(\sqrt[4]{2y})]\)

Further simplifying

\(=71\sqrt[4]{x}-62\sqrt[4]{2y}\)

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Answer:

Keep it simple: C

Step-by-step explanation:

The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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It will take 2 hours for Molly and her little brother to mow the lawn while working together.

Molly can mow a lawn in 3 hours and her little brother can mow the lawn in 6 hours.

The task is to calculate how long it will take to mow the lawn while working together.

When two people work together, their work rates add up, so the total work rate is given by the sum of their individual work rates.

Let M represent the work rate of Molly and B represent the work rate of her little brother.

Then: M = 1/3 (Molly can mow a lawn in 3 hours)B = 1/6 (Little brother can mow a lawn in 6 hours)

When working together, their combined work rate is the sum of their individual work rates.

Hence, their combined work rate is given by: M + B = 1/3 + 1/6 (Adding the work rates of both)

M + B = 1/2 (Adding both fractions, the LCD of the two fractions is 6)

So, the combined work rate of Molly and her brother is 1/2.

This means that they can complete one lawn in 2 hours.

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The solution for the formula υ² = υ₀² + 2a(x - x₀) is x = (υ² - υ₀² + 2ax₀) / 2a

Given,

The formula ; υ² = υ₀² + 2a(x - x₀)

We have to solve this formula for getting the value of x.

That is,

υ² = υ₀² + 2a(x - x₀)

Then,

υ² = υ₀² + 2ax - 2ax₀

Here,

υ² - υ₀² = 2ax - 2ax₀

So,

υ² - υ₀² + 2ax₀ = 2ax

Therefore,

x = (υ² - υ₀² + 2ax₀) / 2a

That is,

The solution for the formula υ² = υ₀² + 2a(x - x₀) is x = (υ² - υ₀² + 2ax₀) / 2a

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Answer:

the fourth graph, bottom left, is the correct one

Step-by-step explanation:

the line, also known as a line of best fit is best graphed to make sure that it covers all of the points, not including outliers. You want to make sure that the line of best fit has an fairly similar amount of points on either side, but there may be one or two outliers that are way far apart; you shouldn't need to worry about them.

Answer:

Point T is (-1,1)

Step-by-step explanation:

Concept:

If there two points (x1,y1) and (x2,y2) which lies on coordinate plane and them it divided by point p in the ratio m:n then coordinate of point p is given by

p (nx1+mx2)/(m+n),   (ny1+my2)/(m+n)

__________________________________________

Given

points M(-2,-4) and N(1, 5)

ratio : 1:2

point t  is  (2*-2+1*1)/(1+2),   (2*-4+1*5)/(1+2)

=>  (-4+1)/(3),   (-8+5)/(3)

=> -3/3 , 3/3

=> -1, -1

Thus, point T is (-1,1)

Answer:

\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)

In a random sample of 150 observations, p=0.6. The 98% confidence interval for P is given by: 0.514 to 0.693. This is option B

The formula for the 98% confidence interval for the population proportion (p) is given by:

Lower Limit of 98% CI = p - z*(√(p(1-p))/n)

Upper Limit of 98% CI = p + z*(√(p(1-p))/n)

Where,z is the Z score associated with the level of confidence,n is the sample size of observations, and

p is the sample proportion.

Substituting the given values in the above formula:

Lower Limit of 98% CI = 0.6 - 2.33*(√(0.6(1-0.6))/150)

Upper Limit of 98% CI = 0.6 + 2.33*(√(0.6(1-0.6))/150)

Lower Limit of 98% CI = 0.5138

Upper Limit of 98% CI = 0.6862

Therefore, the 98% confidence interval for p is (0.514, 0.693).

Hence, option b. is correct.

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Answer:

Using the equation ŷ = 5.4 + 1.7x, we can say that if x is 1.2, the predicted value will be 7.44.

Step-by-step explanation:

y=5.4+1.7(1.2)

Multiply 1.7 and 1.2 to get 2.04.

y=5.4+2.04

Add 5.4 and 2.04 to get 7.44.

y=7.44

There you go!

(Sources cited from Microsoft Math Solver.)

Answer:

140

Step-by-step explanation:

15/100 = 21

21*100= 21000

21000/15= 140

Answer:

57 hours

Step-by-step explanation:

substitute the value 12.5 as x and solve

4(12.5)+7

50+7

57

so she works 57 hours

Answer:

88

Step-by-step explanation:

We know that one figure represents 8 customers. There are a total of 4 + 2.5 + 1 + 3.5 = 11 figures so the answer is 11 * 8 = 88.

The surface given by the equation \(4x^2 - 16y^2 + z^2 = 16\) is a hyperboloid of two sheets. It consists of two distinct surfaces that intersect along the z-axis and open upwards and downwards.

To identify the surface defined by the equation \(4x^2 - 16y^2 + z^2 = 16,\) we can analyze the equation and determine its geometric properties.

First, let's rewrite the equation in a standard form:

\(4x^2 - 16y^2 + z^2 = 16\)

By rearranging terms, we have:

\((x^2/4) - (y^2/1) + (z^2/16) = 1\)

Comparing this equation to the standard form of a hyperboloid, we can see that the x and z terms have positive coefficients, while the y term has a negative coefficient. This indicates that the surface is a hyperboloid of two sheets.

The trace of the surface can be obtained by setting one variable constant and examining the resulting equation. Let's consider the traces in the xz-plane (setting y = 0) and the xy-plane (setting z = 0).

When y = 0, the equation becomes:

\(4x^2 + z^2 = 16\)

This represents an ellipse in the xz-plane centered at the origin, with the major axis along the x-axis and the minor axis along the z-axis.

When z = 0, the equation becomes:

\(4x^2 - 16y^2 = 16\)

This represents a hyperbola in the xy-plane centered at the origin, with the branches opening along the x-axis and the y-axis.

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identify the surface from the following equation \(4x^2-16y^2 z^2=16\)

Answer:

Scroll Down Below...

Step-by-step explanation:

To decide by virtue of what many age it will love trio person engaged in private ownership of business, we can use the rule of 72 for plain interest. The rule of 72 states that you can approximate the number of age it takes for an expenditure to double by separating 72 apiece annual interest. In this case, we ask about by virtue of what long it takes to trio person engaged in private ownership of business, so we'll separate 72 for one interest (5%).72 / 5 = 14.4According to the rule of 72, it would take nearly 14.4 age to double person engaged in private ownership of business at a 5% annual interest. Since we be going to trio person engaged in private ownership of business, we need to double it two times.14.4 age x 2 = 28.8 ageTherefore, it would take nearly 28.8 age to trio person engaged in private ownership of business at a 5% natural interest.In Spanish:Para determinar cuántos años tomará triplicar el money, podemos utilizar la regla del 72 para el interés plain. La regla del 72 establece que puedes aproximar el número de años que se tarda en duplicar una inversión dividiendo 72 entre la tasa de interés anual. En este caso, queremos weapon cuánto tiempo tomará triplicar el money, así que dividiremos 72 entre la tasa de interés (5%).72 / 5 = 14.4Según la regla del 72, tomaría aproximadamente 14.4 años duplicar el money a una tasa de interés anual del 5%. Como queremos triplicar el money, necesitamos duplicarlo do veces.14.4 años x 2 = 28.8 añosPor lo tanto, tomaría aproximadamente 28.8 años triplicar el money a una tasa de interés natural del 5%. La respuesta correcta es 28.8 años.