Which figures have equal area? Choose all that are correct.

Find the volume of the cylinder to know how much liquid is in it:

volume of a cylinder = Pi x r^2 x height.

Volume = 3.14 x 60^2 x 210

Volume = 2,373,840 cubic cm

now to find the length of time divide total cubic cm by the drainage rate:

2,373,840 / 1099 = 2,160 hours

Answer: 2,160 hours

The values of the radical expressions are \(\frac{5x^4z^3}{7y}\) and \(2x^2y\sqrt{5z}\)

Expressions are mathematical statements that are represented by variables, coefficients and operators

Expression 1

Here, we have

\(\sqrt{\frac{25x^8z^6}{49y^2}}\)

Take the square roots of 25 and 49

So, we have

\(\frac{5}{7}\sqrt{\frac{x^8z^6}{y^2}}\)

Next, we apply the law of indices in simplifying the radical expressions

This gives

\(\frac{5}{7}\frac{x^{(8/2)}z^{(6/2)}}{y^{(2/2)}}\)

Evaluate

\(\frac{5}{7}\frac{x^4z^3}{y}\)

Rewrite as

\(\frac{5x^4z^3}{7y}\)

Expression 2

Here, we have

\(\frac{\sqrt{100x^4y^2z}}{\sqrt 5}}\)

Take the square roots of 100

So, we have

\(10\frac{\sqrt{x^4y^2z}}{\sqrt 5}}\)

Rationalize

\(10\frac{\sqrt{5x^4y^2z}}{5}\)

Next, we apply the law of indices in simplifying the radical expressions

This gives

\(10\frac{\sqrt{5z}x^{4/2}y^{2/2}}{5}\)

Evaluate

\(2\sqrt{5z}x^2y\)

Rewrite as

\(2x^2y\sqrt{5z}\)

Hence, the solution is  \(2x^2y\sqrt{5z}\)

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Answer:

x=5

Step-by-step explanation:

-3=x-8

8-3=x

x=5

Step-by-step explanation:

I hope this makes sense...and is visible..

:)

Answer: 82

Step-by-step explanation:

We simply need to substitute the values for x and y into the equation

Both variables are already given to us, x=9, y=2

8(9)+2+4(2)

72+2+8

82

Answer:

f(x) = \(2(\frac{1}{2})^x\)

Step-by-step explanation:

Let the exponential function is,

f(x) = a(b)ˣ

Since, the given graph passes through two points (0, 2) and (1, 1)

For point (0, 2),

2 = a(b)⁰

2 = a

For point (1, 1),

1 = a(b)¹

ab = 1

2(b) = 1

b = \(\frac{1}{2}\)

Therefore, equation of the exponential function will be,

f(x) = \(2(\frac{1}{2})^x\)

1) The total cost for 15 trips to Chicago is $7,335.

2) The 15 trips to Boston cost more.

We know that each travel to chicago costs $489, then the cost of x travels to chicago is:

C(x) = $489*x

Here we know that Jason frequently travels for work, and he makes 15 travels to Chicago, so we can replace x by 15, so we will get:

C(15) = $489*15 = $7,335

So the total cost for the airfare is $7,335.

Second question, a tripo to Boston costs $178, then 15 trips to Boston costs:

15*$178 = $2,670

While a trip to New York costs $225, then the cost of 11 trips is:

11*$225 =  $2,475

So we can see that 15 trips to Boston costs more.

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The latest time Jane and her family can start hiking is 3:19 p.m.

The latest time Jane and her family can start hiking is as follows:

1. First, find the total time needed for hiking and setting up camp: 1 hour and 36 minutes for hiking, plus 57 minutes for setting up camp.

2. Convert the hours and minutes to minutes only: 1 hour = 60 minutes, so 1 hour and 36 minutes = 60 + 36 = 96 minutes.

3. Add the hiking time (96 minutes) to the camp setup time (57 minutes): 96 + 57 = 153 minutes.

4. Convert 153 minutes back to hours and minutes: 153 minutes = 2 hours and 33 minutes.

5. Subtract the total time needed (2 hours and 33 minutes) from the sunset time (5:52 p.m.): 5:52 p.m. - 2 hours and 33 minutes.

6. The latest time Jane and her family can start hiking is 3:19 p.m.

Your answer: The latest time Jane and her family can start hiking is 3:19 p.m.

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Bella is learning to type. She typed a letter to her teacher but misspelled 8 words. If she misspelled 25% of the words she typed, how many words did she type in her letter?

_________________________________________

She misspelled 8 words = 25% of the words she typed

25%= (8 / total words)* 100

0.25 = 8 / total words

total words = 8/0.25

total words = 32

__________________________-

The total words she typed in her letter were 32

The 95% confidence interval on the true proportion of underweight rats from this experiment is (0.189, 0.611), the minimum sample size required to be 95% confident that the error in estimating the true value of p is less than 0.02 is 576 and,  the sample size required to be 95% confident that the error in estimating p is less than 0.02, regardless of the true value of p, is 9604.

1. Calculation of a 95% confidence interval on the true proportion of underweight rats:

Here, n = 30, and p = 12/30 = 0.4 (12 rats out of 30 were underweight).

We will use the following formula to calculate the 95% confidence interval on the true proportion of underweight rats: (p - E, p + E),

where E = zα/2 * √[p (1 - p) / n]We know that α = 0.05 (since the confidence level is 95%).

Therefore, zα/2 = z0.025 = 1.96 (from the standard normal table).

E = 1.96 * √[(0.4)(0.6) / 30] = 0.211(p - E, p + E) = (0.4 - 0.211, 0.4 + 0.211) = (0.189, 0.611)

Therefore, a 95% confidence interval on the true proportion of underweight rats from this experiment is (0.189, 0.611).

2. Calculation of the minimum sample size required to be 95% confident that the error in estimating the true value of p is less than 0.02:

Here, we will use the following formula to calculate the minimum sample size required:n = [zα/2 / E]² * p * (1 - p)

We know that α = 0.05 (since the confidence level is 95%). T

herefore, zα/2 = z0.025 = 1.96 (from the standard normal table).

E = 0.02 (since we want the error to be less than 0.02).p = 0.4 (using the point estimate of p obtained from the preliminary sample).n = [1.96 / 0.02]² * 0.4 * 0.6 = 576

Therefore, the minimum sample size required to be 95% confident that the error in estimating the true value of p is less than 0.02 is 576.

3. Calculation of the sample size required to be 95% confidence that the error in estimating p is less than 0.02, regardless of the true value of p:

We will use the following formula to calculate the sample size required:

n = [zα/2 / E]²We know that α = 0.05 (since the confidence level is 95%).

Therefore, zα/2 = z0.025 = 1.96 (from the standard normal table).

E = 0.02 (since we want the error to be less than 0.02).n = [1.96 / 0.02]² = 9604

Therefore, the sample size required to be 95% confident that the error in estimating p is less than 0.02, regardless of the true value of p, is 9604.

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Answer:

y= 4x + 0

Step-by-step explanation:

The perimeter y of a square with side length x can be described by the equation y = 4x + 0.

The perimeter of a square is equal to four times the length of one side. If the side length of a square is 1 centimeter, then the perimeter of the square is 4 centimeters. We can use this information to write an equation in point-slope form to describe the relationship between the side length of a square and its perimeter.

Point-slope form is a way of writing the equation of a line when we know the slope of the line and the coordinates of a point on the line. In this case, the slope of the line is 4, since the perimeter of a square is four times the length of one side. The coordinates of a point on the line are (1, 4), since the side length of a square is 1 centimeter and the perimeter of the square is 4 centimeters.

We can use this information to write the equation of the line in point-slope form. The equation of a line in point-slope form is given by the following equation:

y - y1 = m(x - x1)

where y is the y-coordinate of a point on the line, y1 is the y-coordinate of a known point on the line, m is the slope of the line, and x is the x-coordinate of a point on the line.

In this case, we can substitute the values we know into the equation above to get:

y - 4 = 4(x - 1)

This simplifies to:

y = 4x + 0

Therefore, the equation in point-slope form that describes the relationship between the side length x of a square and its perimeter y is y = 4x + 0.

This equation tells us that for any square, the perimeter is four times the side length plus zero. For example, if the side length of a square is 5 centimeters, then the perimeter is 4 x 5 + 0 = 20 centimeters. If the side length of a square is 10 centimeters, then the perimeter is 4 x 10 + 0 = 40 centimeters.

In summary, the perimeter y of a square with side length x can be described by the equation y = 4x + 0.

The number of grains on square 13 will be 4096 grains.

No. of grains on the first square = 1 = 2^0

No. of grains on the second square = 2 = 1*2 = 2¹

No. of grains on the third square = 4 = 2*2 = 2²

No. of grains on the fourth square = 8 = 2*4 = 2³

From the pattern it could be seen that amount of wheat is doubled for every next square

So, the number of grains in the nth square = 2^n-1

Therefore, No. of grains on 13th square

= 2^13 -1

= 4096

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The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.

To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.

First, we need to standardize the values of 450 and 600 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

For 450:

z = (450 - 511) / 110 = -0.55

For 600:

z = (600 - 511) / 110 = 0.81

Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.

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Answer:

1/4

Step-by-step explanation:

poooooooooooooooooooooooooooooooooooookie doooooooooooooooooooooooooooooooookie

The solution to the expression 3(7 + x) is 21 + 3x

From the question, we have the following parameters that can be used in our computation:

3(7+x)

Rewrite the expression properly

So, we have the following representation

3(7 + x)

Open the bracket using the Distributive Property

So, we have the following representation

3(7 + x) = 3 * 7 + 3 * x

Evaluate the products on both sides of the equation

3(7 + x) = 21 + 3x

Hence, the solution is 21 + 3x

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A radical equation is an equation that contains a variable within a radical expression.

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multiplicationAnswer:

4r = 52

Explanation:

If we represent Rhondas saving by the letter r, the product of r and 4 is written as

we are told that this must equal 52, and therefore,

We can assume that the mulipication sign is there and rewrite the above as

converting 1/3 to decimal will give 0.3333

The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation.

Decimals occur in fractions when both the numerator and the denominator are not a factor of each other. For example 3/5. 3/5 can be expressed in decimal by bringing out the number of 5 in tens of 3. This will be represented with decimal point behind i.e 3/5 = 0.6

Similarly 1/3 = 0.333.....

The value of 1/3 to decimal is continuous, we stop at a convenient point.

Therefore 1/3 = 0.333

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Answer:

\(t(n) = -5^{n-1}*6\)

Step-by-step explanation:

\(t(n) = -5^{n-1}*6\)

Answer:

11

Step-by-step explanation:

6^2 = 6 x 6 = 36

5^2 = 5 x 5 = 25

36 - 25 = 11

Step-by-step explanation:

everything can be found in the picture above

Answer:

her pay increases by 30$ each hour she work

Step-by-step explanation:

hope it helps

Answer:

f(x)^-1=3x

Step-by-step explanation:

f(x)^-1=3x if we multiple it by x/3 you get result 1

Answer:

66.8 inches

Step-by-step explanation:

The mean height of 16 students is 67.0"

Total height of 16 students = 67 x 16 = 1,072"

When Danielle walks into the class an additional height of 63.6" is added to the total and the new total becomes 1072 + 63.6 = 1135.6"

Since there are now 17 students, mean = 1135.6/17 = 66.8"

Answer:

6 bananas, 24 bapples.

Step-by-step explanation:

If Omar has 4 times as many apples as bananas: then if a is the number of apples and b is the number of bananas, then:

Let's say there are b bananas

Therefore there must be 4b apples

In total that gives 5b fruit.

Therefore since there are 30 fruit in all:

5b = 30

Therefore, b = 6

And since there are 30 fruit overall, 30 - 6 = 24

So there 24 apples overall and 6 bananas.

Answer: 6 bananas, 24 bapples.

Step-by-step explanation: I’m so tired HELP MEEEEE!

Answer:

A.

Step-by-step explanation:

You can get 11 different numbers by multiplying two or more distinct members of the set (1, 2, 3, 5, and 11) together.

To find the number of numbers you can get by multiplying two or more distinct members of the set {1, 2, 3, 5, 11} together, we can use the concept of combinations. There are 5 elements in the set, and we want to choose 2 or more elements to multiply.

To choose 2 elements, there are 5C2 = 10 combinations.
To choose 3 elements, there are 5C3 = 10 combinations.
To choose 4 elements, there are 5C4 = 5 combinations.
To choose all 5 elements, there is 1 combination.

However, we need to subtract the cases where we multiply by 1, as 1 does not change the result.

For choosing 2 elements including 1, there are 4C1 = 4 combinations.
For choosing 3 elements including 1, there are 4C2 = 6 combinations.
For choosing 4 elements including 1, there are 4C3 = 4 combinations.
For choosing all 5 elements including 1, there is 1 combination.

Subtracting the cases with 1, we get:
(10 - 4) + (10 - 6) + (5 - 4) + (1 - 1) = 6 + 4 + 1 + 0 = 11 numbers.

So, you can get 11 different numbers by multiplying two or more distinct members of the set {1, 2, 3, 5, 11} together.

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Answer:

B

Step-by-step explanation: