Find the slope of the line passing through the points (-8, 2) and (-8, - 7).
slope:

Answer:

x=4

Step-by-step explanation:

f(x) = x^2 - 8x+16

Set equal to zero

0 = x^2 -8x +16

Factor

what 2 numbers multiply to 16 and add to -8

-4*-4 = 16

-4+-4 = -8

0= (x-4)(x-4)

Using the zero product property

x-4 = 0  x-4 =0

x=4  x=4

Answer:

\( \frac{9c + 160}{5} \)

Step-by-step explanation:

C = 5(F - 32)/9

so we do a little algebra here

9C = 5F - 160

we move both side

5F - 160 = 9C

5F = 9C + 160

so in the end

F =

\( \frac{9c + 160}{5} \)

a = 9

b = 160

c = 5

Answer:

\(F=\frac{9C+160}{5}\)

Step-by-step explanation:

\(C=\frac{5(F-32)}{9}\)

Multiply both sides with 9.

\(9C=5(F-32)\)

Use distributive property.

\(9C=5F-160\)

Add 160 to both sides.

\(9C+160=5F\)

Divide 5 to both sides.

\(\frac{9C+160}{5}=F\)

The interest rate is 11.05%.

What is the interest rate?

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Here, we have

Given:  an investment of $5,000 to grow to $8,000 in 9 years if interest is compounded continuously.

We have to find the interest rate.

Investment = $5,000

Time(x) = 9 years

n = 12

Annual amount = $8,000

A = P(1+r/n)ⁿˣ

r = n(A/P)⁻ⁿˣ - 1

r = 12(8000/5000)⁻¹⁰⁸ - 1

r = 12(1.6)⁻¹⁰⁸ -1

r = 12(1.0043) - 1

r = 11.05%

Hence, the interest rate is 11.05%.

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Answer:

First, we put a point on y-axis = 2

Next, we go 2 spaces down and 1 space right

Then draw a line attaching the two points

Answer:

we put a point on y-axis = 2

we go 2 spaces down and 1 space right

Then draw a line attaching the two points

The Laplace transform of f(t) = sin(4t^3) is:

ℒ{f(t)} = ℒ{sin(4t + 3)} = 4cos(3)/(s^2 + 16) + 3sin(3)s/(s^2 + 16)

Using the trigonometric identity, we have:

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

Setting a = 4t and b = 3, we get:

sin(4t + 3) = sin(4t) cos(3) + cos(4t) sin(3)

Taking the Laplace transform of both sides, we have:

ℒ{sin(4t + 3)} = ℒ{sin(4t) cos(3) + cos(4t) sin(3)}

ℒ{sin(4t + 3)} = cos(3)ℒ{sin(4t)} + sin(3)ℒ{cos(4t)}

Since ℒ{sin(at)} = a/(s^2 + a^2) and ℒ{cos(at)} = s/(s^2 + a^2), we have:

ℒ{sin(4t + 3)} = cos(3) × 4/(s^2 + 16) + sin(3) × s/(s^2 + 16)

Therefore, the Laplace transform of f(t) = sin(4t^3) is:

ℒ{f(t)} = ℒ{sin(4t + 3)} = 4cos(3)/(s^2 + 16) + 3sin(3)s/(s^2 + 16)

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The scale structure being used in a question that asks the respondent to write in his or her age on the survey is Ratio. Option C is correct.

The ratio scale allows for the measurement of quantities with a meaningful zero point and consistent intervals between values. Age is a variable that can be measured on a ratio scale because it possesses these characteristics. It has a meaningful zero point (birth), and the intervals between ages are consistent (each year represents an equal interval).

Thus, the required, scale structure being used in a question that asks the respondent to write in his or her age on the survey is Ratio.

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The question seems to be incomplete, the complete question is:

What type of scale structure is being used in a question that asks the respondent to write in his or her age on the survey?

A. Nominal

B. Ordinal

C. Ratio

D. Interval

E. Likert

Answer:

D

Step-by-step explanation:

5.12% means

5.12/100 = 0.0512 (each year)

PreOwned Vehicle Cost = 31,100

For 5 years simple interest, the value would be:

31100 * 0.0512 * 5 = $7961.6

Total have to pay: 31,100 + 7961.6 = $39,061.6

9514 1404 393

Answer:

  91 rad/s

Step-by-step explanation:

The relationship between angular velocity (ω) and constant angular acceleration (ω') is ...

  ω(t) = ω0 + t·ω'

  ω(0.25) = 95 = ω0 + 0.25(16)

  95 -4 = ω0 = 91 . . . rad/s

The initial angular speed was 91 radians per second.

How you calculate this is this:

So, any two given sides much be greater than the other side.

7. The answer is no. 1 plus 5 is 6 right? 6 is less than 11, so it can never be a triangle.

8. The answer is yes. 3 plus 6 is greater than 7. 3 plus 7 is greater than 6. 6 plus 7 is greater than 3.

9. The answer is yes. 9 plus 11 is greater than 12. 9 plus 12 is greater than 11. 11 plus 12 is greater than 9.

You can substitute any vector v to find its image under the transformation t.

By multiplying the transformation by the vector, we can determine the image of a given vector under the linear transformation t. Let's call the given vectors v1, v2, and v3, as well as the images that correspond to them, t(v1), t(v2), and t(v3), respectively.

Given:

t(1, 1, 1) = (2, 0, -1) t(0, -1, 2) = (-2, 5, -1) t(1, 0, 1) = (1, 1, 0) Using the information provided, we can construct a system of equations:

This system of equations can be represented as: x1(1, 1) + x2(0, -1, 2) + x3(1, 0, 1) = (2, 0, -1) y1(1, 1) + y2(0, -1, 2) + y3(1, 0, 1) = (-2, 5, -1) z1(1, 1) + z2(0, -1, 2) + z3(1, 0, 1) = (1, 1, 0)

| 1 0 1 | | x1 0 1 | | 2 0 -1 | | 1 -1 0 | = |-2 5 -1 | | 1 2 1 | | x3 2 1 | | 1 1 0 | We can use matrix inversion to solve this system. The matrix on the left will be referred to as A, and the matrix on the right will be referred to as B. A * X = B In order to determine X, we can multiply both sides of the equation by the inverse of A:

We have: A1 * A = A1 * B because A1 * A is the identity matrix.

Now that we know the inverse of A, we can find X by multiplying it by B: X = A * B.

We can use matrix row operations to reduce A to the identity matrix and keep track of the row operations performed to apply the same operations to the identity matrix. A = | 1 0 1 | | 1 -1 0 | | 1 2 1 |

| 1 0 1 | | 1 0 1 | | 1 -1 0 | | 1 2 1 | | 0 0 1 | | 0 0 1 | | 0 0 1 | | 0 0 1 | | 0 0 1 | | 0 0 1 | | 0 0 1 | | 0 0 1 | | 0 0 1 | The matrix A has been reduced to the identity matrix. As a result, A1 is:

A1 = | 1 0 0 | | 0 0 1 | Now, we can find X by multiplying A1 by B:

A * B = | 1 0 0 | | 2 0 -1 | | 0 0 1 | | 1 0 0 | = | 2 0 -1 | | 2 5 -1 | | 1 1 0 | The system of equations' solution reads as follows:

X = | 2 0 - 1 |

|-2 5 - 1 |

| 1 1 0 |

The picture of any vector under the direct change t can be gotten by increasing the vector by the grid X:

Any vector v can now be used to find its image under the transformation t if t(v) = X * v.

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Answer:

\(0 < \text{x} \le 4\)

If x is an integer, then x is any value in the set {1,2,3,4}

======================================================

Work Shown:

x = length of each side

6x = perimeter of the regular hexagon

The perimeter must be greater than 0.

Also, the perimeter must be less than or equal to 24. This is because of the phrasing "perimeter is at most 24 inches".

In other words, the perimeter is between 0 and 24, excluding 0 and including 24.

\(0 < \text{ perimeter } \le 24\\\\0 < 6\text{x} \le 24\\\\0/6 < 6\text{x}/6 \le 24/6\\\\0 < \text{x} \le 4\\\\\)

If x is an integer, then x can be any value in the set {1,2,3,4}

Examples:

Answer:

n - 4 :)

Step-by-step explanation:

A number = n

So, 4 less than n is simply n - 4 :)

Answer:

\(\sf\longmapsto \: x = 10\)

Step-by-step explanation:

Subtract 7 from both sides:

7−5x−7=−43−7

Simplify:

−5x=−50

Divide both sides by −5:

\(\sf\longmapsto \: \frac{ - 5x}{ - 5} = \frac{ - 50}{5} \)

\(\sf\longmapsto \: x = 10\)

\(\boxed{\sf Answered \: By\: Subhash} \)

\(\boxed{\sf Answered \: By\: Subhash} \)

\(\boxed{\sf Good\: luck \: for \: your \:assignment} \)

Answer:

x=10

Step-by-step explanation:

\(7-5x=-43\)

\(7-5x-7=-43-7\) Subtract

\(-5x=-50\)

\(\cfrac{-5x}{-5}=\cfrac{-50}{-5}\) Divide

\(x=10\)

Answer: C

Step-by-step explanation:

Answer: no they are not equal because 1 to 5 is + 4 and 6 to 9 is + 3

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To be categorized as unemployed, a person has to be without a process, presently available to work, and actively seeking out work within the previous 4 weeks.

Unemployment is a time period regarding people who are employable and actively looking for a process but are not able to discover a process. blanketed in this institution are the ones people in the group of workers who are working but no longer have the precise job.

The situation of now not having a task but being a member of the labor pressure. To be considered unemployed, someone must be jobless but actively trying to find a task by having searched within the last 4 weeks.

Hence, To be categorized as unemployed, a person has to be without a process, presently available to work, and actively seeking out work within the previous 4 weeks.

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complete question:

how do economists define unemployed workers? group of answer choices although currently working, they are not happy with their current job working on contract for a limited time not currently working not currently working but actively searching for work

Answer: both parralell lines

Step-by-step explanation:

i have no idea

Answer:

It would take 100 days

Step-by-step explanation:

2,000,000 divided by 20,000 equals 100

So it would take 100 days

The area of the sector​ GPH would be equal to 28.26 yds.

The area of the entire circle = πr²

The area of the shaded area = (40/360) πr²

r = 9 cm

Area of the shaded area = 1/9 * 3.14 * 9²

Area of the shaded area = 3.14 * 9

Area of the shaded area = 28.26

Area = 1/9 * 3.14 * 9 * 9

We know that 1/9 will cancel out 1 of the nines.

28.26 yds is the Shaded area.

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The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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Answer:

\(5x + 6y = 42\)

Step-by-step explanation:

Hope it is helpful....

Answer:

4 and 6.2

Step-by-step explanation:

ABC=sqrt(2.4^2+3.2^2)=4

ABD=sqrt(2.4^2+3.2^2+4.8^2)=6.2

There are a total of 9 items to divide among 3 people, so the number of ways to divide the items is 84.

In mathematics, a combination is a selection of elements from a bigger group where the arrangement of the elements is irrelevant. Consider a collection of three letters, A, B, and C, for illustration. Two of these letters, AB, AC, and BC, can be chosen in one of three ways. "Combinations" of the letters A, B, and C are what these three options are referred to as.

C(n, k)=n!/(k!*(n-k))!

where the product of all positive integers from 1 to n, denoted by the symbol n!, is the factorial of n. For instance, 5! equals 1 + 2 + 3 + 4 + 5 = 120.

For example, three people divide among themselves six identical apples, one orange, one plum, and one tangerine.

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Answer:

m<TSU = 65

Step-by-step explanation:

As one can see, the measure of angle (RST) is (90) degrees. This is indicated by the box around the angle. As a general rule, when there is a box around an angle, the angle measure if (90) degrees. It is also given that the measure of angle (RSU) is (25) degrees. As per the given diagram, the sum of the measures of angles (RSU) and (UST) is (RST). Therefore, one can form an equation and solve for the measure of angle (UST).

(RSU) + (UST) + (RST)

Substitute,

25 + (UST) = 90

Inverse operations,

25 + (UST) = 90

UST = 65

(<UST) is another way of naming angle (TSU).

Answer:

∠ TSU = 65°

Step-by-step explanation:

∠ RST = 90°

∠ RSU + ∠TSU = ∠ RST , that is

25° + ∠ TSU = 90° ( subtract 25° from both sides )

∠ TSU = 65°

Answer:

12 blueberries and 4 strawberries

Step-by-step explanation:

We can try the guess method.

3:1      3 + 1 = 4     4 is too low. We need a sum of 16.

Multiply both numbers in the ratio by 2.

6:2     6 + 2 = 8   8 is still too low

Multiply both numbers in the ratio by 4.

12:4    12 + 4 = 16    16 is correct.

Answer: 12 blueberries and 4 strawberries

Answer:

$16.99

Step-by-step explanation:

what i did first was add the .25 and .75 together to get a whole dolor and then add it to the 9 to make 10 then add the 5 to get 15 and from there i would add the 1.99 to get 16.99

Answer: t = 62

**look at attachment for explanation

When it comes to M&Ms, there are different types of M&Ms in a bag. They are available in a variety of colors, including orange and yellow. Patrick has a bag of orange and yellow M&Ms and chooses one without looking 18 times. If he chooses an orange M&M 6 times, the probability of getting yellow M&Ms is 12/18 or 2/3 of the time.

Patrick has a bag of orange and yellow M&Ms. He chooses one without looking 18 times. If he chooses an orange M&M 6 times, how many yellow M&Ms can he expect from 80 tries?

When it comes to M&Ms, there are different types of M&Ms in a bag. They are available in a variety of colors, including orange and yellow. Patrick has a bag of orange and yellow M&Ms and chooses one without looking 18 times. If he chooses an orange M&M 6 times, the probability of getting yellow M&Ms is 12/18 or 2/3 of the time. This suggests that he will select yellow M&Ms about 2/3 of the time when he blindly selects them from the bag. We can also infer that the probabilities of picking a yellow or orange M&M are the same since each piece is randomly chosen. To determine the number of yellow M&Ms that can be expected out of 80 tries, we need to use probability.

The formula for expected value is mean = np. N is the total number of trials, and p is the probability of success. Since Patrick can select yellow M&Ms with a 2/3 probability, the probability of success is 2/3. Thus, the expected value of choosing a yellow M&M in 80 attempts can be calculated as follows: mean = np = 80 x (2/3) = 53.33

Yellow M&Ms are expected to be chosen around 53 times in 80 tries. This is because we can't always be sure of the outcome of a random experiment.

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