The circle below is centered at the point (5,3) and has a radius of length 4.
What is its equation?
O A. (x+3)2 + (y + 5)2 =
16
B. (x + 5)2 + (y + 3)2 =
16
10
O C. (x - 5)2 + (y - 3)2 =
16
O D. (x-3)2 + (y - 5)2 = 16

Answer:

$57750

Step-by-step explanation:

$70,000 - 17.5%

17.5 % = .175

.175 * $70000 = $12250

$70000 - $12250 = $57750

Given: The market price of a stock = $48.15, Dividend just paid = $5.79, Expected growth rate of dividend = 3.79%To find: Required rate of return for the stock Let's assume the required rate of return is "r" According to the constant growth model of dividends,

The present value of future dividends can be calculated as follows, PV of future dividends = D / (r-g)where D = dividend just paid = $5.79g = expected growth rate of dividend = 3.79%Now, let's substitute the given values, PV of future dividends = 5.79 / (r - 3.79%)As per the problem, the market price of the stock is $48.15. This means that the present value of all future dividends is equal to the current stock price. So we can set up the following equation, PV of future dividends = 48.15Substituting the value of the present value of future dividends in the above equation,5.79 / (r - 3.79%) = 48.15Solving for r, we get,r = 12.29%Hence, the required rate of return for the stock is 12.29%.

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Answer:

33x+22

Step-by-step explanation:

The area of a rectangle is

A = l*w where l is the length and w is the width

A = 11(3x+2)

Distribute

   = 33x+22

Area of rectangle = Length * Width

⇛Area = 11(3x+2)

⇛Area = 33x + 22

Answer:

D. linear; y = –x – 1

Step-by-step explanation:

Linear; y=-x - 1

The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x

...............................................................................................................................................

Answer:

The correct answer is D) linear; y = –x – 1

Step-by-step explanation:

To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.

(4, 5)

y = -x - 1

-5 = -4 - 1

- 5 = -5 (TRUE)

(0, -1)

y = -x - 1

-1 = 0 - 1

-1 = -1 (TRUE)

Answer:

They are both correct.

Step-by-step explanation:

As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.

Hope this helped!

We will see that both Jared and Nicole are correct.

So we know that Jared found an equation:

y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.

We also know that Nicole found the equation:

x = y - 10

And she replaced x by y - 10 on the other equation, she is also correct.

Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.

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Answer:

B.

Step-by-step explanation:

it's the only one that all the angles add up to 180

The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.

This is because the sample means would be expected to be centered around the population mean.

The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:

standard deviation of sample means = standard deviation of population / square root of sample size

In this case, the standard deviation of sample means would be:

6 / square root of 4 = 3

So the answer is 3.

So, the mean of the distribution of the sample means would be 3. Your answer: 3.

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Answer:

6 feet

Step-by-step explanation:

The dolphin jumps 3 feet above sea level and it starts from the opposite distance below sea level.

This means that it starts from 3 feet below sea level.

The total distance the dolphin travels from its starting point to the top of the jump is therefore:

3  + 3 = 6 feet

Answer:

First you would make 62% into \(\frac{62}{100}\)

\(7893+82-\)\(\frac{62}{100}\)

Than you would do 7893+82 which is 7975

\(7975-\frac{62}{100}\)

You would than simplify \(\frac{62}{100}\) which is \(\frac{31}{50}\)

\(7975- \frac{31}{50}\)

Therefore your answer will be \(\frac{398719}{50}\) or in decimal form it will be \(7974.38\)

Hope that helps :>

It should be noted that the concept of chords and central angles are used in the design since the diameter and circumference of the angles are taken into consideration.

A ferris wheel simply means an amusement ride that contains a rotating uprights wheel that has multiple passenger-carrying components attached to a rim.

It should be noted that the consideration in designing a ferris wheel is that the circumference and the measurement of the central angle formed will be known.

Lastly, if a ferries wheel is not circular in design, it'll be a challenge for it to rotate.

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The midpoint of the segment is (7, 4).

According to the section formula-

If a point (x , y) divides a line in the ratio of m : n, where the two endpoints of the line are (x1, y1) and (x2, y2), then-

x = (nx1 + mx2)/ (m + n)

and y = (ny1 + my2)/ (m + n)

Here, we are given two points- (9, 6) and (5, 2)

Therefore,

x1 = 9, y1 = 6

x2 = 5, y2 = 2

Since, midpoint divides a line segment into two equal halves, m : n = 1 : 1

Now, substituting the values in the section formula we get-

x = (9 + 5)/2

x = 14/2

x = 7

and y = (6 + 2)/2

y = 8/2

y = 4

Thus, the midpoint of the segment is (7, 4).

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Answer:

9.9

Step-by-step explanation:

Answer:

I/rt =P

Step-by-step explanation:

to get ride of the r and t u need to divide

divide by rt

which would =to I/rt=P

Answer:

-40/21

Step-by-step explanation:

(-4/7) + (-4/3) =

First you need to find a common denominator:

(-4/7)(3/3) + (-4/3)(7/7) =

(-12/21) + (-28/21) =

Then combine the two fractions:

(-40/21)

And because you cannot simplify further, you are finished.

Answer:

b.  \(\sqrt[3]{4x+2}\)

Step-by-step explanation:

f(x) = ( x^3-2) /4

y = ( x^3-2) /4

Exchange x and y

x = ( y^3-2) /4

solve for y

Multiply each side by 4

4x = 4( y^3-2) /4

4x = y^3 -2

Add 2 to each side

4x+2 = y^3

Take the cubed root of each side

( 4x+2) ^ (1/3) = y^3 ^(1/3)

( 4x+2) ^ (1/3) =y

To get the decimal expansion of

We need to divide both numbers:

This is a periodic number. As we can see, the period is 12 after the decimal point, and it will repeat to the infinity:

We can represent it as:

or

The decimal expression for 4/33 is 0.121

The method for converting a fraction into a decimal expression can be done by dividing 4 by 33

First step would be dividing the 4 into 33 parts

As we know that 4 cannot be divided into 33 parts , hence we have to take an extra zero while dividing them, and while putting an extra zero in front of 4 we have to put a decimal sign.

4/33 = 4÷33

4÷33 = 0.121

now we have to put an extra zero in front of 4 in order to make it divisible by 33

Hence after calculation, we will get the answer nearest to 3 decimal places as 0.121

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Hence, the number of miles traveled by car, when it has gasoline of 15 gallons is 420 miles

Answer:

Step-by-step explanation:

Cos²y + Sin² y = 1

Therefore,   Cos² y = 1 - Sin² y

LHS = Cos² y - Sin² y

       = 1 - Sin² y - Sin² y    {Combine like terms}

       = 1 - 2sin² y  = RHS

    cos²y - sin²y = 1 - 2sin²y

or, cos²y - sin²y + 2sin²y = 1

or, cos²y + sin²y = 1 [It's a formula]

(Is that what you mean by simplify?)

The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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Answer:

The perimeter is 4√81 = 4 × 9 = 36 meters.

The value of c is 1/54.

The joint probability mass function of X and Y is f(x, y) = (4x + 3y) / 54, where x = 1, 3 and y = 1, 2.

To find the value of c, we need to consider the joint probability mass function of X and Y. The given probabilities are fxy(2,1) = (4(2) + 3(1)) = 11 and fxy(2,2) = (4(2) + 3(2)) = 14. We can set up the equation as follows:

f(2,1) + f(2,2) = c

Substituting the given probabilities:

11 + 14 = c

c = 25

Therefore, the value of c is 25.

To find the joint probability mass function of X and Y, we can use the values of c and the given probabilities. The joint probability mass function is given by:

f(x, y) = (4x + 3y) / 54

Substituting the possible values of x and y:

For x = 1 and y = 1: f(1,1) = (4(1) + 3(1)) / 54 = 7/54

For x = 1 and y = 2: f(1,2) = (4(1) + 3(2)) / 54 = 10/54

For x = 3 and y = 1: f(3,1) = (4(3) + 3(1)) / 54 = 19/54

For x = 3 and y = 2: f(3,2) = (4(3) + 3(2)) / 54 = 22/54

Therefore, the joint probability mass function of X and Y is f(x, y) = (4x + 3y) / 54, where x = 1, 3 and y = 1, 2.

The joint probability mass function is a function that assigns probabilities to the possible outcomes of two or more discrete random variables. It describes the probability distribution of the joint events of the random variables. In this case, the joint probability mass function of X and Y specifies the probabilities of different combinations of the values of X and Y. The probabilities are calculated based on the given values and the sum of probabilities must equal 1. Understanding the joint probability mass function allows us to analyze the relationship between two random variables and make predictions about their combined outcomes.

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Answer:

2 and 3/4 cups

Step-by-step explanation:

because if a quarter cup is used in 1 gallon than one cup is used in two gallons. this than trasferes up to the ratio of 2/8, which means two cups cleaner and 8 gallons water for 10 gallons it would be 2 and a half cups and for 10and 1/2 gallon it would be 2 and 3/4 cups

Answer:

i dont know if may answer is correct this is may answer 3

The formula for the area of a regular pentagon is:

A = (1/2)Pa

where A is the area of the pentagon, P is the perimeter of the pentagon, and a is the apothem (the distance from the center of the pentagon to the midpoint of a side).

If the apothem of the pentagon is 3√2, then we need to know the perimeter of the pentagon in order to calculate its area.

Unfortunately, the apothem alone is not enough information to determine the perimeter of a pentagon. However, if we assume that the pentagon is regular, then we know that all of its sides and angles are equal, and we can use the following formula to find its perimeter:

P = 5s

where P is the perimeter and s is the length of a side.

To find the length of a side, we can use the fact that the apothem is perpendicular to a side and bisects it. This means that the triangle formed by the apothem, half a side, and the center of the pentagon is a right triangle. The hypotenuse of this triangle is the length of a side, and the legs are half a side and the apothem:

s/2 = 3√2

s = 6√2

Now we can use the equation for the perimeter of a pentagon:

P = 5s = 5(6√2) = 30√2

Finally, we can use the formula for the area of a regular pentagon:

A = (1/2)Pa = (1/2)(30√2)(3√2) = 45

Therefore, the area of the pentagon is 45 square units, assuming that it is a regular pentagon with an apothem of 3√2.

Answer: Dilation by 1/4 and translation

Step-by-step explanation:

The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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Answer:

angle 2 is 104

angle 9 is 66

angle 10 is 114

angle 7 is 76

Step-by-step explanation: