IfA = -3n+ 2 and B = 5n - 7, what is the value of A 7, what is the value of A – B, in simplest form?​

\(QUESTION:\)

a body of mass 10kg at rest is subjected force of 16N. Find the kinetic energy at end of 20s.

\(SOLUTION:\)

\(Given\) \(that:\)

» Finding for the acceleration:

\(a=F/m\)

\(a=16N/10kg\)

\(a=1.6/s^2\)

» Then velocity after 20 seconds will be:

\(v=u+at\)

\(v=0+1.6m/s^2(20s)\)

\(v=32/s^\)

» Now , Finding for the kinetic energy:

\(K=1*2mv^2\)

\(K=1/2(10)(32)^2\)

\(K=5(1024)\)

\(K=5120\) \(J\)

\(ANSWER:\)

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

\( \large \sf \underline{Problem:}\)

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

\( \large \sf \underline{Answer:}\)

\( \huge \qquad \quad \sf{5,120 \: Joules}\)

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

\( \large \sf \underline{Solution:}\)

Firstly, find the acceleration:

Secondly, the velocity after 20 seconds will be:

Lastly, find the kinetic energy:

Hence, the kinetic energy at the end is 5,120 Joules.

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

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The value of QR is 3√290.

Given, In triangle PQR

PQ = 39 in PR = 17 in Height PN = 15 in

We need to find QR.

In the right-angled triangle PNR, using Pythagoras theorem,

PN² + PR² = NR²15² + 17²

= NR²NR² = 15² + 17²NR

= √(15² + 17²)NR = √(225 + 289)NR

= √514

Now, in the right-angled triangle PQN,

using Pythagoras theorem,

QR² = PN² + PQ²QR² = 15² + 39²QR²

= 225 + 1521QR² = 1746QR

= √1746QR = 3√290

Thus, the value of QR is 3√290.

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Answer: your chances on winning are 0.08%

Step-by-step explanation:

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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Answer:

x=-40,0

y=0,15

Step-by-step explanation:

intercepts are points where the graph cuts the axes

Answer:

(- 40, 0 ) and (0, 15 )

Step-by-step explanation:

The x- intercept is the point on the x- axis where the line crosses, then

x- intercept = (- 40, 0 )

The y- intercept is the pont on the y- axis where the line crosses, then

y- intercept = (0, 15 )

Answer:

8 > 8 - 2

Step-by-step explanation:

because that is just the other side of the same "coin".

8 - 2 < 8

data exactly the same thing as

8 > 8 - 2

The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).

The slope-intercept formula is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation in the question

2x - y = -3

First, we solve form for y and reorder in slope intercept form.

2x - y = -3

Subtract 2x from both sides

2x - 2x- y = -3 - 2x

- y = -3 - 2x

Divide each term by -1

y = 3 + 2x

Reorder in slope intercept form

y = 2x + 3

To find the y-intercept, replace x with zero and solve for y

y = 2(0) + 3

y = 3

Therefore, the y-intercept is 3.

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Answer:

above sea level

Step-by-step explanation:

Step-by-step explanation:

\(2n + 19 = 21\)

\(2n = 21 - 19\)

\(2n = 2\)

\(n = 2 \div 2\)

Therefore, N = 1

hope it helps don't forget to like and mark me down

Answer:

n=1

Step-by-step explanation:

to solve this you put 19 on the opposite side and subtract 19 fron 21 because subtraction is the opposite of addition and then you get 2 and then divide 2 by 2 to get 1 so n=1. Yo can check it by doing 2*1=2 then 2+19 =21 so it is the correct answer.

I'm going to state what I think that the functions were and then answer:

a. \(f(x)=5x^4\) is not exponential.  The variable is not an exponent.

b. \(g(x)=5(17)^x\) IS.  The variable IS an exponent.

c. \(h(x) =11x\) is not.  But if you meant \(h(x)=11^x\) then it is.  Is the variable an exponent?  If so, then the answer is yes.

d. \(j(x)=6(2.56)^x\) IS, assuming again that the variable is an exponent.

e \(k(x) = 4(6)^x\) IS, assuming again that the variable is an exponent.

Now, if any of the x's I wrote as exponents are not exponents, then those are not exponential functions.

Answer:

2 days

Step-by-step explanation:

It takes four plumbers five days

total labor needed

4 * 5 = 20 days

How long would it take ten plumbers?

20 / 10 = 2 days

Answer:

the answer is b because that's the slope

Answer:

B

Step-by-step explanation:

you can try each answer or you can just use number of plants and divide it by number of seed packets which is 10 so B

Answer:

The will be 937 bears left in 6 years.

Step-by-step explanation:

If the polar bear population is cut in half every year, then after one year there will be 60,000/2 = 30,000 polar bears left. After two years, there will be 30,000/2 = 15,000 polar bears left, and so on.

Answer:

49 - 49 = 0

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

Answer:

Yes

Step-by-step explanation:

They both have the same unit rate, which means they're equivalent

4.2/1.5 = 2.8

14/5 = 2.8

The solution set express the numbers between -5 and 5.

It is a mathematical model contains various elements such as numbers, variables, sign and so on arranged in a sequence order. Different set represents different expression.

The elements of a set that satisfy certain given conditions.

in the question, the set represent the numbers which are > -5 and < 5.

hence, the set indicate the numbers between -5 and 5

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Answer:

Lamar's next step is x^2 — 12x + 6 = 0

The solution to the equation is x = ± 6√30

Step-by-step explanation:

Answer:

I would say graph D

Step-by-step explanation:

mark me Brainliest if correct

Answer:

d

Step-by-step explanation:

Answer:

x = 20.

Step-by-step explanation:

37x + 16 = 6(6x + 6)

Distribute.

37x + 16 = 36x + 36

Subtract 36x from both sides.

x + 16 = 36

Subtract 16 from both sides.

x = 20.

The solution is 20.

Proof

37x + 16 = 6(6x + 6)

37(20) + 16 = 6(6(20) + 6)

740 + 16 = 6(120 + 6)

756 = 6(126)

756 = 756.

Answer: 13

Step-by-step explanation:

let m = Matt's age

let a = Andy's

:

Write an equation for each statement

:

Matt is four years younger than twice his cousin Andy’s age.

m = 2a - 4

The sum of their ages is greater than 35.

m + a > 35

What is the youngest age that Andy can be?

replace m with (2a-4) from the 1st statement

2a - 4 + a > 35

3a > 35 + 4

a > 39/3

a > 13

least integer has to be a = 14

:

:

Check, find m

m = 2(14) - 4

m = 24

24 + 14 = 38 greater than 35

If a = 13

m = 2(13) - 4

m = 22

22 + 13 = 35 which is not greater than 35

Answer:

Step-by-step explanation:

18

Answer:

7mph and he stayed the same

Step-by-step explanation:

Larry's average speed from hour 2 to hour 4 and from hour 4 to hour 7 is the same, 7 mi/hr, he maintained a constant speed throughout this period.

Given that Larry recorded his time as he ran

Time elapsed(hr)         Distance run(mi)

     2                                       13.5

     4                                       27.5

     7                                       48.5

We need to calculate his average speed,

To calculate Larry's average speed, we need to divide the total distance he ran by the time elapsed.

Let's calculate his average speed from hour 2 to hour 4 and from hour 4 to hour 7:

Average speed from hour 2 to hour 4:

Distance covered = 27.5 mi - 13.5 mi = 14 mi

Time elapsed = 4 hr - 2 hr = 2 hr

Average speed = Distance covered / Time elapsed = 14 mi / 2 hr = 7 mi/hr

Therefore, Larry's average speed from hour 2 to hour 4 was 7 miles per hour.

Average speed from hour 4 to hour 7:

Distance covered = 48.5 mi - 27.5 mi = 21 mi

Time elapsed = 7 hr - 4 hr = 3 hr

Average speed = Distance covered / Time elapsed = 21 mi / 3 hr = 7 mi/hr

Therefore, Larry's average speed from hour 4 to hour 7 was also 7 miles per hour.

Since Larry's average speed from hour 2 to hour 4 and from hour 4 to hour 7 is the same (7 mi/hr), he maintained a constant speed throughout this period. He neither sped up nor slowed down.

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Complete question =

Larry recorded his time as he ran. What was his average speed from hour 2 to hour 4?

What was his average speed from hour 4 to hour 7?

Did he speed up or slow down?

time elapsed(hr)         distance run(mi)

2                                       13.5

4                                       27.5

7                                       48.5

The system of linear equations is 8x + 15y = 193 and 3x + 12y = 117. Then, the cost of each pair of jeans is $11, and the cost of each t-shirt is $7.

To find the cost of each t-shirt, we need to write a system of linear equations and solve it by elimination. Let's use the variables x to represent the cost of each pair of jeans and y to represent the cost of each t-shirt.

The first equation comes from Monyne's purchase: 8x + 15y = 193
The second equation comes from Steven's purchase: 3x + 12y = 117

Now we can use the elimination method to solve the system of equations. First, we'll multiply the first equation by -3 and the second equation by 8 to eliminate the x variable:
-24x - 45y = -579
24x + 96y = 936

Adding the two equations together gives us:
51y = 357

Dividing both sides by 51 gives us the cost of each t-shirt:
y = 7

Now we can plug this value back into one of the original equations to find the cost of each pair of jeans:
8x + 15(7) = 193
8x + 105 = 193
8x = 88
x = 11

So the cost of each pair of jeans is $11 and the cost of each t-shirt is $7.

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a. The decay of 232Th to 236U through emission of a 1z = 90 2s particle is not possible.

b. The decay of 238Pu to 236U through emission of a 1z = 94 2s particle is possible.

c. The decay of 11B to 11B through emission of a 1z = 52 1s particle is not possible.

d. The decay of 33P to 32S through emission of a 1z = 152 1s particle is not possible.

e. No information is provided for decay e.

a. The decay of 232Th to 236U through emission of a 1z = 90 2s particle is not possible. This is because the atomic number of the daughter nucleus (236U) would be 92 (the same as uranium), and the mass number would be 238. Therefore, this decay violates the law of conservation of element.

b. The decay of 238Pu to 236U through emission of a 1z = 94 2s particle is possible. This is because the atomic number of the daughter nucleus (236U) would be 92 (uranium), and the mass number would be 234. Therefore, this decay is possible.

c. The decay of 11B to 11B through emission of a 1z = 52 1s particle is not possible. This is because the atomic number of the daughter nucleus (11B) would be the same as that of the parent nucleus, and the mass number would also remain the same. Therefore, this decay violates the law of conservation of mass and charge.

d. The decay of 33P to 32S through emission of a 1z = 152 1s particle is not possible. This is because the atomic number of the daughter nucleus (32S) would be less than that of the parent nucleus (33P). Therefore, this decay violates the law of conservation of charge.

e. No information is provided for decay e.

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To determine the probability that the roots of the given quadratic equation are both real, we need to find the values of a for which the discriminant of the equation is non-negative.

The discriminant of the quadratic equation ax^2 + bx + c = 0 is b^2 - 4ac. In this case, the discriminant of the given equation is:

a^2 - 4(a+35)

For the roots to be real, this discriminant must be non-negative. That is:

a^2 - 4(a+35) ≥ 0

Simplifying this inequality, we get:

a^2 - 4a - 140 ≥ 0

Factorizing the left-hand side, we get:

(a-14)(a+10) ≥ 0

This inequality is satisfied for a ≤ -10 or a ≥ 14, or when a is in the interval [-12, -10) or (14, 15].

Since a is uniformly distributed over the interval [-12, 15], the probability that lies in the interval [-12, -10) or (14, 15] is:

Probability = Length of the interval [-12, -10) + Length of interval (14, 15] / Total length of the interval [-12, 15]
Probability = (2 + 1) / (15 - (-12))
Probability = 3/27
Probability = 1/9

Therefore, the probability that the roots of the given quadratic equation are both real is 1/9.

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Answer:

165

Step-by-step explanation:

first 1% of 500 is calculated and then multiplied by 33:

\(\frac{1}{100} (500)=5\)

5(33)=165

Hope this helps