In a circle with a radius of 2725 in., an arc is intercepted by a central angle of 7π/4 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

To serve eight people, you would need 1/2 cup of grated parmesan cheese.

To expand the recipe to feed eight people, we need to determine the amount of parmesan cheese needed for the new serving size.

Given that the original recipe for lasagna serving four requires 1/4 cup of grated parmesan cheese, we can calculate the amount needed to serve eight people by scaling up the recipe.

If the original recipe serves four and requires 1/4 cup of grated parmesan cheese, then for eight servings, we would need to double the recipe.

Doubling the recipe means doubling all the ingredients, including the parmesan cheese.

1/4 cup * 2 = 1/2 cup

Therefore, to serve eight people, you would need 1/2 cup of grated parmesan cheese.

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The width, labelled x in the figure is 162.5 meters

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

Length = 650 - 2x

Width = x

The area of a rectangle is the product of its dimensions

So, we have

Area = Length x Width

Substitute the known values in the above equation, so, we have the following representation

A = (650 - 2x) * x

Evaluate

A = 650x - 2x²

Differentiate and set to 0

650 - 4x = 0

So, we have

4x = 650

Divide by 4

x = 162.5

Hence, the width is 162.5 meters

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Answer:

There are no equations or no pictures

9514 1404 393

Answer:

  see below for the graph

Step-by-step explanation:

We can specify the location of the minimum and the axis of symmetry using the vertex form of the quadratic equation:

  y = a(x -h)² +k . . . . . . . vertex (h, k); scale factor 'a'

We can put the given values into the equation to see what 'a' needs to be to make the function have the desired y-intercept.

  -3 = a(0 -(-2))² +(-5)

  2 = 4a . . . . add 5 and simplify

  a = 1/2 . . . . divide by 4

The equation for the desired function can be ...

  y = 1/2(x +2)² -5

Answer:

C

Step-by-step explanation:

a. The elasticity at P=18 is -0.6. b. The elasticity at P=18 would decrease if the demand curve shifts parallel to the right.

a. To find the elasticity at P=18, we need to calculate the derivative of Q with respect to P and then evaluate it at P=18.

The demand curve is given by P = 50 - 0.5Q. Solving for Q, we have Q = 100 - 2P.

Taking the derivative of Q with respect to P, we get dQ/dP = -2.

To find the elasticity at P=18, we use the formula: Elasticity = (dQ/dP) * (P/Q).

Plugging in the values, Elasticity = (-2) * (18 / (100 - 2*18)) = -0.6.

Therefore, the elasticity at P=18 is -0.6.

b. If the demand curve shifts parallel to the right, it means that the quantity demanded increases at each price level. In this case, the elasticity at P=18 would decrease in absolute value (become less negative or move towards zero).

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The value of x in the given equation 3x + 5 = 2(2x + 4) is x = -3.

How to solve the value of x in equation?

3x + 5 = 2(2x + 4)

3x = 4x + 8 - 5

3x - 4x = 3

-x = 3

x = -3

Hence, the value of x in the given equation 3x + 5 = 2(2x + 4) is x = -3.

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Answer:  6 inches equals 0.16666667 yards, or about 0.2 yards.

Step-by-step explanation: 1 yard equals 36 inches. By that reasoning, we can divide 6 by 36, since we are trying to find out how many yards are in 6 inches.

6/36 = 0.16666667

The answer is 0.16666667 yards, or about 0.2 yards.

SOLUTION

The die has 6 faces, that is 6 outcomes

They are 2 marbles that is 2 outcomes

They are 2 cards, that is 2 outcomes

Number of possible outcomes become

Hence the answer is 24 possible outcomes

Answer:

∠C and ∠R

Step-by-step explanation:

1. ∠C and ∠T don't match

- One slanted, One Straight

2. ∠D and ∠T don't match

- One slanted, One Straight

3. ∠C and ∠R both match

- Both Straight

4. ∠D and ∠U don't match

- One slanted, One Straight

covariance is a measurement of correlation. Scaled covariance is what is referred to as correlation.

What is the connection between correlation and covariance?

Simply said, covariance is a measurement of correlation. Scaled covariance is what is referred to as correlation.

                         The linear relationship between variables is indicated by covariance, which also specifies its direction.

                          On the other hand, correlation quantifies the magnitude and direction of the linear relationship between two variables.

Formula of covariance

The covariance of x and y is 15.4. The correlation coefficient can be calculated as follows: r=Cov(x,y)/(σx∗σy) r = C o v ( x , y ) / ( σ x ∗ σ y )

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Answer:

25%

Step-by-step explanation:

325/260 = 1.25

To match decimal values with their corresponding hexadecimal values, we need to convert the decimal numbers into their hexadecimal equivalents using division and remainders.

To match each decimal value on the left with the corresponding hexadecimal value, we need to convert the decimal numbers into their hexadecimal equivalents.

Here are a few examples:

1. Decimal 10 = Hexadecimal A

To convert 10 to hexadecimal, we divide it by 16. The remainder is A, which represents 10 in hexadecimal.

2. Decimal 25 = Hexadecimal 19

To convert 25 to hexadecimal, we divide it by 16. The remainder is 9, which represents 9 in hexadecimal. The quotient is 1, which represents 1 in hexadecimal. Therefore, 25 in decimal is 19 in hexadecimal.

3. Decimal 128 = Hexadecimal 80

To convert 128 to hexadecimal, we divide it by 16. The remainder is 0, which represents 0 in hexadecimal. The quotient is 8, which represents 8 in hexadecimal. Therefore, 128 in decimal is 80 in hexadecimal.

Remember, the hexadecimal system uses base 16, so the digits range from 0 to 9, and then from A to F. When the decimal value is larger than 9, we use letters to represent the values from 10 to 15.In conclusion, to match decimal values with their corresponding hexadecimal values, we need to convert the decimal numbers into their hexadecimal equivalents using division and remainders.

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The results would be statistically valid if the p-value is less than the level of significance (α).

If the p-value is less than α, then we can reject the null hypothesis and conclude that the alternate hypothesis is true.

Let us understand the steps we need to take to infer the standard deviation of WISC-III.

It is given that the Wechsler Intelligence Scale for Children (WISC) is a common test used to measure the IQ of children between the ages of 6 and 16 years of age.

The developers of the WISC claim a population standard deviation of 15.

Step 1: Calculate the t-value and degree of freedom.

Given: Sample size (n) = 30Degree of Freedom (df) = n - 1 = 30 - 1 = 29

Confidence Interval = 90%t - value = 1.699 (from the t-distribution table)

Step 2: Calculate the margin of error

Margin of error (E) = t-value * (Sample Standard Deviation / sqrt(n)) = 1.699 * (16 / sqrt(30)) = 5.027Step 3: Calculate the Confidence Interval

Lower limit = Sample Standard Deviation - Margin of Error

Upper limit = Sample Standard Deviation + Margin of Error

Lower limit = 16 - 5.027 = 10.973

Upper limit = 16 + 5.027 = 21.027

Therefore, the 90% Confidence Interval for the true standard deviation of the WISC is 10.973 to 21.027.

What would need to be true for your results in part a to be statistically valid:

In order for the results in part a to be statistically valid, the null hypothesis needs to be rejected.

The null hypothesis states that the population standard deviation is equal to 15.

The alternate hypothesis states that the population standard deviation is greater than 15.

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Part 1: Kate should buy 100 coats to maximize profits.Part 2: The probability that the coats sell out is 0.25 (25%), and the probability that they do not sell out is 0.75 (75%).

To maximize profits, Kate should consider the scenario where she sells all the coats without any left over at the end of the season.

Since the sales are uniformly distributed between 100 and 400, buying 100 coats ensures that she meets the minimum expected sales of 100. Purchasing more than 100 coats would increase costs without a guarantee of higher sales, potentially leading to excess inventory and lower profits.

Given that the sales are uniformly distributed between 100 and 400 coats, Kate's purchase of 100 coats covers the minimum expected sales.

The probability of selling out can be calculated by finding the proportion of the range covered by the desired sales (100 out of 300). Therefore, the probability of selling out is 100/300 = 0.25 or 25%. The probability of not selling out is the complement, which is 1 - 0.25 = 0.75 or 75%.

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Answer: 22.4 cm

Step-by-step explanation:

Perimeter of sector is: P = 2r + 2πr(θ/360) P = 2*10 + 2(3.14) (135/360) = 22.4 cm (rounded)

The expected value of z, e(z), is 12 and the variance of z, v(z), is 90. The expected value of the random variable z, defined as z = 2x - 3y + 5, can be determined using the properties of expected values. The value of e(z) is calculated as 2e(x) - 3e(y) + 5.

Similarly, the variance of the random variable z, denoted as v(z), can be determined using the properties of variances. The value of v(z) is calculated as 2^2v(x) + (-3)^2v(y), since x and y are independent random variables.

Given e(x) = 8, e(y) = 3, v(x) = 9, and v(y) = 6, we can calculate the expected value and variance of z.

e(z) = 2e(x) - 3e(y) + 5

    = 2(8) - 3(3) + 5

    = 16 - 9 + 5

    = 12.

Therefore, the expected value of z, e(z), is 12.

v(z) = 2^2v(x) + (-3)^2v(y)

    = 2^2(9) + (-3)^2(6)

    = 4(9) + 9(6)

    = 36 + 54

    = 90.

Therefore, the variance of z, v(z), is 90.

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The equation to show the cost of the new tiled floor is 500 + 5x.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the square foot be illustrated as x.

In this situation, Desmond is looking to purchase a new tile floor for his kitchen. The floor cost $5 per square foot of tile in addition to a $500 instillation fee.

The equation will be:

= 500 + 5(x)

= 500 + 5x

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Answer:

b=7

Z=65

Step-by-step explanation:

18b-11+9b+2=180

27b-9=180

27b=180+9

b=189/27

b=7

____________

Angle Z=9×7+2

=63+2

Z=65

hope it helps you...

have a great day!!!

Answer:

b = 7

z = 65

this is correct answer of this question hope it helps and your day will be full of happiness ^_^

Answer: 2100 square feet

Step-by-step explanation: 60 x 35=2100

Answer:

2100 ft squared!

Step-by-step explanation:

The formula to find the area of a rectangle is L * W = A

Where A is the total area, and L and W are the dimensions.

Since we know what the dimensions of the rectangles are, we can replace L and W to find out the area. This will look like this: 60 * 35 = A

Now we just have to multiply 60 and 35 to find A. This will simplify to 2100, which means the total are of the rectangle, or in this case, the soccer field, is 2100 ft squared!

The expression that is equivalent to cos3x/sinx cosx is B.

secxcos2x- cscxsin 2x.

How to solve cos3x/sinx cosx?Given an expression cos3x/sinx cosx.

The goal is to simplify it using trigonometric identities.

We know that the quotient identity of tan x is:

tan x = sin x / cos x

We can convert the above equation as:

cos x / sin x = 1 / tan x

Similarly, cot x = cos x / sin x

We can convert the above equation as:

sin x / cos x = 1 / cot x

Now, we can use the above equations to simplify the given equation.

Simplify cos3x/sinx cosx

We have:

cos3x/sinx cosx= cos2x * cosx / sinx cosx

= cos2x / sinx + cos2x / cosx

= cos2x/sinx + cos x

And, we know that

cos 2x =\(1 - 2sin^2x\)

= \(2cos^2x - 1\)

Substituting this value in the above equation, we get:

cos3x/sinx cosx = (\(2cos^2x - 1\)) / sinx + cos x

= secxcos2x- cscxsin 2x

Therefore, the expression that is equivalent to cos3x/sinx cosx is B.

secxcos2x- cscxsin 2x.

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Answer:

A= 15(H)

Step-by-step explanation:

A is the total amount he is going to get, And H is the hours. If he gets 15 an hour. it means however many hours he works multiplied by 15 is the total amount he gets.

Answer:

there ok

Step-by-step explanation:

Answer:

slope = - \(\frac{13}{28}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (17, - 6 ) and (x₂, y₂ ) = (- 11, 7 )

m = \(\frac{7-(-6)}{-11-17}\) = \(\frac{7+6}{-28}\) = - \(\frac{13}{28}\)

a. The instantaneous acceleration at t = 3.5 seconds is -22.0 m/s².

b. The average acceleration over the first 3.5 seconds is -2.83 m/s².

a. To find the instantaneous acceleration at t = 3.5 seconds, we need to differentiate the position function with respect to time. Given the position function s(t) = at - bt + ct - d, where a = 3.6 m/s³, b = 4.0 m/s², c = 60 m/s, and d = 7.0 m, we take the derivative:

v(t) = s'(t) = a - b + c

a(t) = v'(t) = 0

The acceleration is constant, so it remains the same at any given time. Therefore, the instantaneous acceleration at t = 3.5 seconds is -22.0 m/s², as it is equal to the value of a.

b. The average acceleration over the first 3.5 seconds can be calculated by finding the change in velocity over that time interval and dividing it by the duration. Since the acceleration is constant, the change in velocity is equal to the acceleration times the time interval:

Δv = a * t

The average acceleration (a_avg) is given by:

a_avg = Δv / t

For the first 3.5 seconds, the change in velocity (Δv) is equal to the acceleration (a) multiplied by the time interval (t):

Δv = a * t = -22.0 m/s² * 3.5 s = -77.0 m/s

Thus, the average acceleration over the first 3.5 seconds is:

a_avg = Δv / t = -77.0 m/s / 3.5 s ≈ -2.83 m/s².

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Answer: x = 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.step. i^25^i

2.step. Rewrite (i^4)6^i=i^4

3.step. Rewrite (i^2)^2

4.step. ((i^2)^2)^6i

5.step. i^2 as -1

6.step. ((-1)^2)^6i

7.step. Raise −1 to the power of 2

i^6i

8.step.One to any power is one.

i1

9.step.Multiply i by 1.

ix1=i