What is the length of the arc shown in red ?The length of the arc is _ Cm (Simplify your answer. Type an exact answer , using PI as needed . Use integers or fractions for any numbers in the expression .)

Answer:

h(-67) = 3158

Step-by-step explanation:

Simply plug in -67 for x:

h(-67) = -49(-67) - 125

h(-67) = 3283 - 125

h(-67) = 3158

Answer: h(-67) = 3158

Step-by-step explanation:

-49(-67)-125

3283-125

3158

Answer:

g = 8

Step-by-step explanation:

Hello!

We can solve for g by isolating the variable.

The value of g is 8.

Answer:

\( \sf \: g = 8\)

Step-by-step explanation:

Now we have to,

→ find the required value of g.

The equation is,

→ 2.8(g - 6) + 1.06 = 6.66

Then the value of g will be,

→ 2.8(g - 6) + 1.06 = 6.66

→ 2.8g - 16.8 = 6.66 - 1.06

→ 2.8g - 16.8 = 5.6

→ 2.8g = 5.6 + 16.8

→ g = (22.4)/(2.8)

→ [ g = 8 ]

Hence, the value of g is 8.

Answer:

A. 36, -36

Step-by-step explanation:

y = x^2 - 12x - 5

steps to complete the square

add a 5 to both sides to move the constant

x^2 - 12x = 5

Then take -12, the coefficient of the variable and divide by 2 and square.

12/2 = 6, 6^2 = 36

Then add 36 to both sides.

x^2 - 12x + 36 = 5 + 36

Then subtract the 5 and 36 from both sides.

x^2 - 12x + 36 - 36 - 5

Check the picture below.

The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Slope = (40 - 10)/(2 - 1)

Slope = 30/1

Slope = 30

Slope = (160 - 40)/(3 - 2)

Slope = 120/1

Slope = 120.

Factor = 40/10 = 4

Factor = 160/40 = 4

Factor = 640/160 = 4.

Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.

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If Scampini has no debt or preferred stock, and its WACC is 12%, and it has zero nonoperating assets in which Scampini has 40 million shares of stock outstanding, the stock's value per share is $37.50.

Next year CF = $75 millions

Growth rate of CF = 7%

WACC = 12%

Number of shares outstanding = 40 million shares

Estimated business valuation:

Valuation = Next year CF/ (WACC -growth rate)

Valuation = $75 million / (12% - 7%)

Valuation = $75 million /5%

Valuation =$1500 million

Estimated stock price:

Stock price = Valuation /Shares outstanding

Stock price = $1500 million / 40 million shares

Stock price = $37.50

Therefore the stock price is $37.50.

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Answer:

     x(x +3) = 108

Step-by-step explanation:

The longer string is 3 inches longer than the shorter string, whose length is x. Then the longer string is (x+3), and the product of their lengths is ...

  x(x +3) = 108 . . . . . equation for finding the shorter length

__

In standard form, the equation is ...

  x² +3x -108 = 0

  (x -9)(x +12) = 0 . . . . . factored form

The values of x that make these factors zero are 9 and -12. The shorter string length is 9 inches.

_____

Additional comments

John's guitar is unusually small if its strings are 12 inches or less.

Note that factoring is accomplished by finding factors of 108 that differ by 3. This requires the same thinking process as solving the problem directly without the use of an equation. We know the product of two numbers is 108 and one is 3 larger than the other.

The difference (3) is sufficiently smaller than the product that the square root of the product (10.4) will be about halfway between the numbers. We can reasonably guess their values to be 10.5±3/2 = {9, 12}. (There is a more formal way to make this calculation by defining a variable (a) to be the average of the two lengths: Then you have (a-3/2)(a+3/2)=108, or a² = 110.25 and a=10.5. This matches our approximation.)

The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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Answer:

2:4

Step-by-step explanation:

I remember doing this is my class

Answer:

24 cupcakes

Step-by-step explanation:

4 divided by 2 is 2, so you do 12 times 2 and you get 24.

Answer:

44 feet

Step-by-step explanation:

P = 10 + 12 + 10 + 12

P = 10(2) + 12(2)

P = 20 + 24

P = 44

Answer:

He need 120 linear feet.

Step-by-step explanation:

10 ft x 12 ft=....

And you should get 120

Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

a) The estimate of the proportion of defectives when the process is in control is 0.054

b) The standard error of the proportion if the sample size is 100 is 0.0226.

c) The upper control limit is 0.1218 and the lower control limit is 0 (since LCL < 0 and p > 0, we can write LCL = 0).

1) The estimate of the proportion of success is

p = (number of success)/(total number of samples)

I.e., p = x/N

2) The standard deviation of the proportion of success is

\(\sigma_p = \sqrt{\frac{p(1-p)}{n} }\)

3) The upper and lower control limits for a control chart are:

L.C.L = p - 3\(\sigma_p\)

and U.C.L = p + 3\(\sigma_p\)

It is given that, there are 25 samples of 100 items each.

So, the total number of items i.e., the total sample size,

N = 25 × 100 = 2500

In 25 samples, a total of 135 items were found to be defective.

So, the number of defectives x = 135

a) The estimate of the proportion of defectives is p = x/N

On substituting, we get

p = 135/2500 = 0.054

b) The standard error of the proportion if the sample of size 100 is calculated by

\(\sigma_p = \sqrt{\frac{p(1-p)}{n} }\)

On substituting p = 0.054 and  n = 100, we get

\(\sigma_p = \sqrt{\frac{0.054(1-0.54)}{100} }\)

    = 0.0226

c) The control limits for the control chart are:

Upper control limit =  p + 3\(\sigma_p\)

⇒ U.C.L = 0.054 + 3(0.0226) = 0.054 + 0.0678 = 0.1218

Lower control limit = p - 3\(\sigma_p\)

⇒ L.C.L = 0.054 - 3(0.0226) = 0.054 - 0.0678 = - 0.0138 ≈ 0

(Since we know that the lower control limit should not be a negative value, it is made equal to 0).

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Answer:

Read and understand the question. Still having doubts? Ask about it in the comment section so you can give them a correct answer!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4m = 36

Explanation:

• Given:, The statement "four times the number m equals 36".

• To do:, Write in an algebraic equation.

To write a word problem in an algebraic equation, take each keyword in the statement and interpret it mathematically.

• Four: 4

• Times: x ,(the multiplication sign)

• m

• Equals: = ,(the equality sign)

• 36

So, an algebraic equation will be:

The equivalent equation is 4m=36.

The ordered pairs are (2004, 17200) and (2008, 21200) and the slope is 1000 people per year

From the question, we have the following parameters:

The above means that the ordered pairs are

(2004, 17200) and (2008, 21200)

x is the number of years since 2004

So, we have

(0, 17200) and (4, 21200)

The slope is then calculated as

Slope = Change in y/Change in x

The above equation becomes

Slope = (21200 - 17200)/(4 - 0)

Evaluate the differences

So, we have

Slope = 4000/4

Evaluate the quotient

So, we have

Slope = 1000

Hence, the ordered pairs are (2004, 17200) and (2008, 21200) and the slope is 1000 people per year

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Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

The distance between point P and line L is 16/9√(13).

To find the distance between point P and line L, we can use the formula for the distance between a point and a line in two-dimensional space. The formula is as follows:

Let P = (x1, y1) be the point and L be the line ax + by + c = 0. Then the distance between P and L is:

|ax1 + by1 + c|/√(a² + b²)

To find a, b, and c for the given line, we need to put it in slope-intercept form y = mx + b by solving for y.

2x - 3y = 12=> 2x - 12 = 3y=> (2/3)x - 4 = y

The slope of the line, m, is the coefficient of x, which is 2/3. Therefore, the line is:

y = (2/3)x - 4The values of a, b, and c are: a = 2/3b = -1c = -4

Now we can substitute the coordinates of P and the values of a, b, and c into the formula for the distance between a point and a line.

Let P = (3, 5).|a(3) + b(5) + c|/√(a² + b²)= |(2/3)(3) - 1(5) - 4|/√[(2/3)² + (-1)²]= |-4/3 - 4|/√(4/9 + 1)= 16/9√(13).

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The equation is given to be:

The derivative of the function is gotten to be:

At x = 4, we have:

Recall that:

We are given the value of dy/dt to be 8. Therefore, we have:

We can therefore solve for dx/dt as follows:

ANSWER

Answer:

The slope would be -4/3

Answer:

m=-3/4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B

Answer:

Soil bacteria convert nitrogen gas into ammonia, nitrites, and then nitrates. Nitrates are then absorbed by producers.

Step-by-step explanation:

.

Answer:

D

Step-by-step explanation:

Soil bacteria convert nitrogen gas into ammonia, nitrites, and then nitrates. Nitrates are then absorbed by producers.

Answer: about 14% of the 7 grade don't play sports

Step-by-step explanation: i think