Before a basketball game, a referee noticed the ball had been deflated. She dropped it from 6 feet and measured the first bounce at 36 inches and the second bounce at 18 inches.

a) write an exponential equation to model the height of the ball.
b)How high was the ball on the fifth bounce?

Answers

Answer 1

Therefore , the solution of the given problem of equation comes out to be the ball is 2.25 inches tall after the fifth bounce.

What is an equation?

In order to demonstrate consistency between two opposing statements, variable words are frequently used in sophisticated algorithms. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider expression the details as y + 7 offers. In this case, elevating produces b + 7 when partnered with building y + 7.

Here,

a)

We are aware that the ball was dropped from a height of 6 feet, or 72 inches, and that it bounced twice, the first time for 36 inches and the second time for 18 inches. We can thus write:

=> a = 72 (the initial height)

=> B = (height of previous bounce minus height of each subsequent bounce) = 18/36 = 1/2

As a result, the following exponential equation can be used to predict the ball's height:

=> y = 72*(1/2)ˣ

b) We enter x = 5 into the equation we derived in part a) to determine the height of the ball on the fifth bounce:

=> y = 72*(1/2)⁵

=> y = 72*(1/32)

=> 2.25 inches for y.

As a result, the ball is 2.25 inches tall after the fifth bounce.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1


Related Questions

A sample of a radioactive substance has an initial mass of 45.1 mg. This substance follows a continuous exponential decay model and has a half-life of 19
minutes.
(a)let t be the time (in minutes) since the start of the experiment, and
let y be the amount of the substance at time t.
Write a formula relating y to t.
Use exact expressions to fill in the missing parts of the formula.
Do not use approximations.
y = ()e^()t
(b) How much will be present in 9 minutes?
Do not round any intermediate computations, and round your
answer to the nearest tenth.

Answers

a) The formula relating y to t is: y = 45.1 * e^(-0.693/19 * t) b) there will be approximately 30.1 mg of the substance present after 9 minutes.

How to Write a formula relating y to t.

(a) The general formula for exponential decay is y = y0 * e^(-kt), where y is the amount at time t, y0 is the initial amount, k is the decay constant, and e is Euler's number.

To find the decay constant, we can use the fact that the half-life is 19 minutes. The formula for half-life is t1/2 = ln(2) / k, where ln(2) is the natural logarithm of 2.

Substituting t1/2 = 19 and ln(2) = 0.693 into the formula gives:

19 = 0.693 / k

k = 0.693 / 19

So the formula relating y to t is:

y = 45.1 * e^(-0.693/19 * t)

(b) To find how much will be present in 9 minutes, we can plug t = 9 into the formula we found in part (a):

y = 45.1 * e^(-0.693/19 * 9) ≈ 30.1 mg

So, there will be approximately 30.1 mg of the substance present after 9 minutes.

Learn more about exponential decay model at https://brainly.com/question/29629074

#SPJ1

Suppose that $2000 is invested at a rate of 4.6%, compounded quarterly. Assuming that no withdrawals are made, find the total amount after 6 years
Do not round any intermediate computations, and round your answer to the nearest cent.

Answers

Answer:

$2,631.55

Step-by-step explanation:

To find the total amount in the account after 6 years, we can use the compound interest formula.

Compound Interest Formula

[tex]\boxed{\sf A=P\left(1+\dfrac{r}{n}\right)^{nt}}[/tex]

where:

A = Final amount.P = Principal amount.r = Interest rate (in decimal form).n = Number of times interest is applied per year.t = Time (in years).

Given values:

P = $2,000r = 4.6% = 0.046n = 4 (quarterly)t = 6 years

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=2000\left(1+\dfrac{0.046}{4}\right)^{4 \cdot 6}[/tex]

[tex]\implies \sf A=2000\left(1+0.0115\right)^{24}[/tex]

[tex]\implies \sf A=2000\left(1.0115\right)^{24}[/tex]

[tex]\implies \sf A=2000\left(1.3157739...\right)[/tex]

[tex]\implies \sf A=2631.54794...[/tex]

Therefore, the total amount after 6 years is $2,631.55 rounded to the nearest cent.

for each pair of lines determine whether they are parallel, perpendicular, or neither

Answers

Answer:

All lines are parallel.

Step-by-step explanation:

Get each equation in Slope-Intercept form:

  1. Divide both sides by 3: [tex]y=-\frac{4}{3}x+\frac{7}{3}[/tex]

  2. No change

  3. Subtract 8x and divide by 6 on both sides: [tex]y=-\frac{4}{3}x-\frac{2}{3}[/tex]

Notice:

a. All slopes are -4/3

b. All y-intercepts are different

Find the distance from G to S.

Answers

Answer:

i think its b sorry if  it's wrong

Step-by-step explanation:

A worker completes a job in a certain number of hours. The standard time allowed for the job is 10 hours, and the hourly rate of wages is Re. 1. The worker earns at the 50% rate a bonus of Rs. 2 under Halsey Plan. Ascertain his total wages under the Rowan Premium Plan.

Answers

Under the Halsey Plan, the worker earns a bonus of Rs. 2, which is 50% of the standard wages. This means that the standard wages for the job are Rs. 4 (50% of Rs. 8).

Let's assume that the worker completes the job in 'x' hours. So, the Rowan Premium Plan formula to calculate wages is:

Total wages = (time taken / standard time) * standard wages + (time taken - standard time) * hourly rate * premium percentage

Here, the premium percentage is the percentage of time saved, which is given by:

Premium percentage = (standard time - time taken) / standard time * 100

Substituting the given values, we get:

Premium percentage = (10 - x) / 10 * 100
Premium percentage = (100 - 10x) %

Now, substituting this value in the Rowan Premium Plan formula, we get:

Total wages = (x / 10) * 4 + (x - 10) * 1 * (100 - 10x) / 100

Simplifying this expression, we get:

Total wages = (2x + 8 - x^2) / 5

So, the total wages earned by the worker under the Rowan Premium Plan is (2x + 8 - x^2) / 5.

College Level Trigonometry Question!

Answers

The angle measures for this problem are given as follows:

θ = 150º and θ = 330º.

How to obtain the angle measure?

The trigonometric expression for this problem is given as follows:

[tex]\theta = \arctan{\left(-\frac{\sqrt{3}}{3}\right)}[/tex]

The solution to the arctangent function is the angle which has the given tangent value.

The angle on the first quadrant with a tangent value of sqrt(3)/3 is given as follows:

θ = 30º.

The quadrants in which the tangent is negative are given as follows:

2nd and 4th.

Hence the equivalent angles are given as follows:

2nd quadrant: θ = 180 - 30 = 150º.4th quadrant: θ = 360 - 30 = 330º.

More can be learned about arctangent at https://brainly.com/question/10061217

#SPJ1

A catering service offers 5 appetizers, 11 main courses, and 4 desserts. A customer is to select 4 appetizers, 9 main courses, and 3 desserts for a banquet. In how many ways can this be done?

Answers

To calculate the total number of ways the customer can select 4 appetizers, 9 main courses, and 3 desserts, we can use the formula for combinations:

Total number of ways = (Number of ways to select appetizers) x (Number of ways to select main courses) x (Number of ways to select desserts)

Number of ways to select appetizers = C(5,4) = 5

Number of ways to select main courses = C(11,9) = 330

Number of ways to select desserts = C(4,3) = 4

Therefore, the total number of ways the customer can select 4 appetizers, 9 main courses, and 3 desserts is:

Total number of ways = 5 x 330 x 4 = 6,600

So, there are 6,600 ways the customer can select the items for the banquet.

There are 1100 many ways can be done that is when catering service offers 5 appetizers, 11 main courses, and 4 desserts.

Given that,

A catering service offers 5 appetizers, 11 main courses, and 4 desserts. A customer is to select 4 appetizers, 9 main courses, and 3 desserts for a banquet.

We have to find how many ways can this be done.

We know that,

Number of appetizers offered = 5

Number of appetizers customer is to select = 4

Number of main courses offered = 11

Number of main courses customer is to select = 9

Number of desserts offered = 4

Number of desserts the customer is to select = 3

So,

To determine the number of ways this can be selected,

By using the combination formula that is

[tex]^nC_r = \frac{n!}{r!(n-r)!}[/tex]
[tex]^nC_r = ^5C_4\times ^{11}C_9\times^4C_3[/tex]

[tex]^5C_4\times ^{11}C_9\times^4C_3 = \frac{5!}{4!(5-4)!} \times \frac{11!}{9!(11-9)!}\times \frac{4!}{3!(4-3)!}[/tex]

[tex]^5C_4\times ^{11}C_9\times^4C_3 = \frac{5!}{4!1!} \times \frac{11!}{9!2!}\times \frac{4!}{3!1!}[/tex]

[tex]^5C_4\times ^{11}C_9\times^4C_3 = \frac{5!}{4!} \times \frac{11!}{9!(2)}\times \frac{4!}{3!}[/tex]

[tex]^5C_4\times ^{11}C_9\times^4C_3 =[/tex] 5 × 11 × 5 × 4

[tex]^5C_4\times ^{11}C_9\times^4C_3 =[/tex] 1100

Therefore, There are 1100 many ways this can be done.

To know more about combination visit:

https://brainly.com/question/28998705

help!!!
in the fridge below, m WXZ =72, abs m 1 is 6 degrees more than m 2. find m2

Answers

Step-by-step explanation:

m ∠WXY = 72°

m ∠ 1 = m ∠ 2 + 6°

m ∠WXY = m ∠ 1 + m ∠ 2

72° = (m ∠ 2 + 6°) + m ∠ 2

72° = 2 × (m ∠ 2) + 6°

2 (m ∠ 2) = 72° - 6°

2 (m ∠ 2) = 66°

(m ∠ 2) = 33°

#CMIIW

which of the following is equivalent to x-5/3?

Answers

The following expression is equivalent to [tex]x^{-5/3}[/tex] as option B that is 1/∛x⁵.

What is fraction?

A fraction is a numerical representation of a part or a portion of a whole. It is expressed as one integer (numerator) divided by another integer (denominator), separated by a horizontal line.

Here,

We can rewrite [tex]x^{-5/3}[/tex]as [tex](1/ x^{^(5/3)})[/tex].

The negative exponent in the numerator tells us that we need to move the term to the denominator of a fraction and change the sign of the exponent to make it positive. Similarly, the fractional exponent in the denominator indicates that we need to take the reciprocal of the term and change the sign of the exponent to make it positive.

Therefore, we can rewrite [tex]x^{-5/3}[/tex] as:

[tex](1/ x^{^(5/3)})[/tex]

or

[tex]x^{-5/3}[/tex] = [tex](1/ x^{^(5/3)})[/tex]

To know more about fraction,

https://brainly.com/question/24638688

#SPJ1

Complete question:

Which of the following is equivalent to [tex]x^{-5/3}[/tex]?

prove that:
(P+1/P-1 + P+1/P+1)-(P-1/P+2 + P+1/P-2)=-4(2p² + 1)/(p²-4) (p² - 1)​

Answers

The given identity (P+1/P-1 + P+1/P+1)-(P-1/P+2 + P+1/P-2)=-4(2p² + 1)/(p²-4) (p² - 1) is proven below

How to prove the given identity

Given the following equation

(P+1/P-1 + P+1/P+1)-(P-1/P+2 + P+1/P-2)=-4(2p² + 1)/(p²-4) (p² - 1)

We start by simplifying the left-hand side of the equation:

(P+1/P-1 + P+1/P+1)-(P-1/P+2 + P+1/P-2)= [(P²+1)/(P(P-1))] + [(P²+1)/(P(P+1))] - [(P²-1)/((P+2)P)] - [(P²+1)/((P-2)P)]

Next, we have the following steps to simplify the expression

= [(P³ + P² + P + 1)/(P(P²-1))] - [(P³ - 3P)/(P(P²-4))]

= [(P³ + P² + P + 1)(P²-4) - (P³ - 3P)(P²-1)]/[(P(P²-1))(P(P²-4))]

= [(P⁵ - 3P³ + P³ - 3P² + P² - 4P + P² - 4P - 4 + P³ - 3P)/(P⁴ - 5P² + 4)]

= [P⁵ - 2P³ - 6P² - 8P - 4]/[(P²-4)(P²-1)]

= -4(2p² + 1)/(p²-4) (p² - 1)

Hence, the given identity is proven.

Learn more on proving identity

https://brainly.com/question/24496175

#SPJ1

I would love some help please 18-20

Answers

18. C

(m / 2) - 6 = (m / 4) + 2

---Multiply everything by the LCM of the denominators

---LCM = 4

2m - 24 = m + 8

m - 24 = 8

m = 32

19. A

k / 12 = 25 / 100

---We can simplify 25/100

---We want to simplify enough to where the denominator of 25/100 is a multiple or factor of 12

k / 12 = 1 / 4

---4 x 3 = 12, 1 x 3 = 3

k = 3

20. A

9 / 5 = 3x / 100

---Cross multiply and solve algebraically

(5 * 3x) = (9 * 100)

15x = 900

x = 60

Hope this helps!

18.C
19.A
20.A
are the answers

Drag-and-Drop Technology-Enhanced
An expression is shown.
14a +7+ 5b+ 2a + 10b
Move words into the columns to describe the parts of the expression. Not all words will be used, and each column should
have at least one word to describe it.
14a
sum
term
factor
7
5
product
quotient
coefficient
2a + 10b

Answers

The value of expression 14a +7+ 5b+ 2a + 10b will be 16a + 15b + 7

Since Expression is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given the expression as;

14a +7+ 5b+ 2a + 10b

Combine like terms;

14a + 2a + 10b +7+ 5b

16a + 15b + 7

To know more about an expression follow;

brainly.com/question/19876186

#SPJ1

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

x=38.6

Step-by-step explanation:

x=b/cos(alpha)

x=30/cos(39⁰)

x=38.602

The answer is x=38.602

The entire graph of the function g is shown in the figure below.
Write the domain and range of g as intervals or unions of intervals.


domain=

range =

Answers

For the given function 'g':

domain = (-4, -2) ∪ (1, 3]

range = (-5, 4]

If the function is defined as f(x) = y, then the values of x for which the value of function exists, the set of that values is said to be the domain of the function f.

If the function is defined as f(x) = y, then the set of all possible values of the function that is the set of all possible values of y is said to be the range of the function f.

Here given the graph of 'g'.

From the graph we can see that for -4 < x < -2 and 1 < x [tex]\le[/tex] 3 the function has graph.

So the domain = (-4, -2) ∪ (1, 3]

And it is clear that the value of y lies between -5 < y [tex]\le[/tex] 4.

So the range = (-5, 4].

To know more about domain here

https://brainly.com/question/26098895

#SPJ1

For any positive values x and y, f(xy) = f(x) + f(y). f(1/2021) = 1.
Find f(2021).

I will give BRAINLIEST to correct answer.

Answers

If we let x = 1/2021 and y = 2021, we have:

f(1/2021 * 2021) = f(1/2021) + f(2021)

Simplifying the left-hand side gives us:

f(1) = f(1/2021) + f(2021)

Substituting f(1/2021) = 1, we have:

f(1) = 1 + f(2021)

Therefore,

f(2021) = f(1) - 1.

However, we don't know what f(1) is. One way to find it is to let x = y = 1. Then we have:

f(1) = f(1) + f(1),

which implies that f(1) = 0.

Therefore,

f(2021) = f(1) - 1 = -1.

So the answer is -1.

can some one help me

Caleb is selecting cards from a set of 12 cards numbered 1-2-4-4-5-5-5-5-6-9-10-13.

What is the probability that Caleb selects a 5 on the first selection, returns the card to the deck, shuffles the cards, and then draws a 5 on the second selection?

Answers

The probability of Caleb selecting a 5 on the first selection and then selecting a 5 on the second selection after returning the card to the deck and shuffling is 1/9.

There are a total of 12 cards, out of which 4 are 5s. Since Caleb returns the card to the deck and shuffles it, the selection of the first card does not affect the probability of selecting a 5 on the second selection.

Therefore, the probability of selecting a 5 on the first selection is 4/12 = 1/3, and the probability of selecting a 5 on the second selection is also 4/12 = 1/3.

Since the events are independent, we can multiply the probabilities to find the probability of both events occurring:

P(selecting a 5 on first selection and selecting a 5 on second selection) = P(selecting a 5 on first selection) x P(selecting a 5 on second selection)

= (1/3) x (1/3)

= 1/9

Therefore, the probability that Caleb selects a 5 on the first selection, returns the card to the deck, shuffles the cards, and then draws a 5 on the second selection is 1/9.

To know more about Probability:

https://brainly.com/question/11234923

#SPJ1

a2=25 i cant find the ancer to thiss

Answers

The value of the variable a in the equation is 5 from the calculation here.

How to determine the value?

We need to square of a number is described as a number that when multiplied by itself give the original number.

Also, index forms are described as those mathematical forms that are used to represent numbers that are too large or small.

From the information given, we have the equation;[tex]a^2[/tex]=25

find the square root of value of 25,

We have;25 = [tex]5^2[/tex]

Substitute the value, we get;[tex]a^2[/tex] =  [tex]5^2[/tex]

Take out the similar factor, this is their exponents.

We then have;

a = 5

Learn about square of a number at: https://brainly.com/question/27307830#SPJ1

Complete question;

Find the value of a in the equation;a² = 25

Find the slope of the tangent to f(x) = x^2 at the point (-2,4).

Answers

Answer:

f'(x) = 2x, so f'(-2) = 2(-2) = -4.

Which linear equation is represented in the graph?

A. y = x – 1
B.y = 2x – 1
C. y = x + 1
D. y = 3x – 1

Answers

The answer is B.y=2x-1

i need answer please

Answers

The surface area of the rectangular prism is 210 in²

What is an equation?

An equation is an expression that shows the relationship between numbers and variables using mathematical operators.

The surface area of a rectangular prism is the sum of each area for the surface.

Hence:

Surface area = 2(8 in * 5 in) + 2(5 in * 5 in) + 2(8 in * 5 in) = 210 in²

The surface area of the prism is 210 in²

Find out more on equation at: https://brainly.com/question/17145398

#SPJ1

3⋅f(−4)−3⋅g(−2) = ?
Ayuda por favor

Answers

The value of the 3 × f( - 4 ) - 3 × g( - 2 ) is 40

Given the following expression 3 × f( - 4 ) - 3 × g( - 2 ), to find the required values, we can assume that;

f( - 4 ) = 15

g( - 2 ) = 5

Substitute the given parameters into the expression to have:

3 × f(- 4 ) - 3 × g(- 2) = 3 × 15 - 3 × 5

= 45 - 5

= 40

Hence the value of the 3 × f( - 4) - 3 × g( - 2) is 40

Learn more on function here

https://brainly.com/question/15169713

#SPJ1

The vertices of AABC are A (-3, -6), B (-3,5), and C (5,5).
What is the area of AABC?

Answers

Answer:

44 units²

-----------------------------

AB is vertical with same x-coordinates, and BC is horizontal with same y-coordinates.

Hence this is a right triangle.

Its area is:

A = 1/2 × AB × BCA = 1/2(5 - (-6))(5 - (-3)) = 1/2(11)(8) = 44 units²

How many quarters do you need to add to 31/4 to get 41/2​

Answers

Answer:

51/4 quarters

Step-by-step explanation:

To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator for 4 and 2 is 4x2=8.

So we need to convert both fractions to have a denominator of 8:

31/4 = (31/4) x (2/2) = 62/8

41/2 = (41/2) x (4/4) = 164/8

Now we can add the fractions:

62/8 + x/4 = 164/8

Subtracting 62/8 from both sides:

x/4 = 102/8

Simplifying:

x = 51/4

Therefore, we need to add 51/4 quarters to 31/4 to get 41/2

what's equivalent to x^2-4x-l2

Answers

Answer:

Assuming you meant to write "x^2 - 4x - 12", there are a few equivalent forms that you could use to represent this expression. One common form is:

(x - 6)(x + 2)

Step-by-step explanation:

This is the factored form of the expression, which shows that it can be written as a product of two linear factors. To see why this is true, you can use the distributive property to expand the product:

(x - 6)(x + 2) = x(x + 2) - 6(x + 2) = x^2 + 2x - 6x - 12 = x^2 - 4x - 12

Find the surface area of each composite figure. Use 3.14 for π. Round to the nearest tenth. 12m. 6cm. 6cm. 4cm.​

Answers

The Surface area of the composite figure is calculated as approximately: 234 sq. cm

How to Find the Surface Area of a Composite Figure?

The surface area of the composite figure is the area surrounding the faces of the solid as a whole. Therefore, we have:

Surface area (SA) = Surface area of the square prism + surface area of the square pyramid - 2(area of base)

Area of base = area of square = 6 * 6 = 36 sq. cm.

Surface area of the square prism = 2a² + 4ah

a = 6 cm

h = 4 cm

Plug in the values:

Surface area of the square prism = 2(6²) + 4*6*4

= 72 + 96

= 168 sq. cm.

Surface area of the square pyramid = 2bs + b²

b = side length = 6 cm

s = slant height = √(8² + 3²) = 8.5 cm

Plug in the values:

Surface area of the square pyramid = 2 * 6 * 8.5 + 6² = 138 sq. cm.

Surface area of the composite figure = 168 + 138 - 2(36) = 234 sq. cm

Learn more about Surface area on:

https://brainly.com/question/28178861

#SPJ1

3^-1/2 x^1/2
express with radical signs instead of fractional exponents. rationalize the denominator.
please help

Answers

Answer:

[tex]\sqrt{x/3}[/tex]

----------------------

Use the following identities:

[tex]a^{-b}=1/a^b[/tex][tex]a^{1/2}=\sqrt{a}[/tex][tex]a^bc^b=(ac)^b[/tex]

Apply the identities to the given expression:

[tex]3^{-1/2}x^{1/2}=(3^{-1}x)^{1/2}=(x/3)^{1/2}=\sqrt{x/3}[/tex]

How many different ways are there to arrange the letters in the word MISSISSIPPI?

Answers

Answer: 34,650 permutations

Which of the following is the graph of the quadratic function y = x² - 4x+4?
A. Graph C
B. Graph B
C. Graph D
D. Graph A

Answers

Answer:

The correct answer is C, Graph D.

x^2 - 4x + 4 = (x - 2)^2.

Solve the equation.
3/4x+3-2x = -1/4+1/2x+5

If necessary:
Combine Terms

Apply Properties:
Add Subtract
Multiply Divide ​

Answers

The solution of the equation is x = -1.

Given is an equation we need to solve it,

3x/4 + 3 - 2x = -1/4 + x/2 +5

Multiplying the equation by 4 both the sides,

3x + 12 - 8x = -1 + 2x + 20

Combining the like terms,

3x - 8x - 2x = 20 - 1 - 12

3x - 10x = 7

-7x = 7

x = -1

Hence the solution of the equation is x = -1.

Learn more about equation click;

https://brainly.com/question/29657983

#SPJ1

Given that f (x) = StartFraction 120 Over x squared EndFraction , What is the domain of the function f ? a. only positive integers c. only negative integers b. All non zero real numbers. d. All real numbers including zero

Answers

For the function "f (x) = 120/x²", the domain of the function "f" is (b) All non zero real numbers.

The "Domain" of a function is the set of all possible "input-values" for which the function is defined. In this case, the function is defined as:

f (x) = 120/x²

The only restriction on the input values is that the denominator cannot be equal to zero, because division by zero is undefined.

So, the domain of the function f is all non-zero real numbers.

Therefore, the correct option is (b): All non-zero real numbers.

Learn more about Function here

https://brainly.com/question/29109048

#SPJ1

The given question is incomplete, the complete question is

Given that f (x) = 120/x², What is the domain of the function f ?

(a) only positive integers,

(b) All non zero real numbers,

(c) only negative integers,

(d) All real numbers including zero.

Other Questions
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 96 m long and 66 m wide.Find the area of the training field. Use the value 3.14 for, and do not round your answer. Be sure to include the correct unit in your answer.0$6 m808mXm5m A large diamond with a mass of 2138. 7 grams was recently discovered in a mine. If8the density of the diamond is 3. 51 cm", what is the volume? Round your answer tothe nearest hundredth. (5 points)O 1)141. 84 cm32) 609. 3 cm33) 717. 06 cm3O 48169. 8 cm3WILL GIVE BRAINLIEST!! Mr. And Mrs. Jones plan on retiring on 70 percent of their pre-retirement earnings. If they earned $47,000 the last year before they retired, how much retirement income do they plan on? Which relationship does not represent a direct proportion?A. y = 38 x B. Pounds Cost3 $3.875 $6.458 $10.32 C. A dog groomer charges $15 per hour. D. Write a C++ program (rain function) which will allow a user to enter values for two arbitrary sized arrays v and w. Then compute their dot product. The dot product calculation itself should be accomplished by a C++ function you write called dot, which will compute the dot product of two arrays of arbitrary size. Your main function should use the dot function as follows: cout At the start of an observation, there are 7286.9 grams of a radioactive element present. The number of years t that must pass before N grams remain is given by the natural logarithm equationt = 7,286.9 - 1,252 In(IV)., ditFind dt/dn When N = 15. Round to 2 decimal places, if necessary. Please help me this is so hard. Please if you help i give you 60 points. This is really hard for me and i dont get this. What benefit could there be to movinga client who has been discharged froman inpatient setting to a group homemilieu instead of returning to the generalsocial climate? How does Thor regain his strength as a ruler with the help of others? Use at least THREE specific details from the text to support your answer Please help. identify the type of internet writing most appropriate for this passage. analyze the passage in terms of purpose, content, and tone, and explain how these contribute to your understanding of what type of writing it is which of the following is not an example of political risk? question 9 options: the japanese government requires an mnc's subsidiary to install exercise rooms for its employees. all of these are examples of political risk. the swiss government requires an mnc's subsidiary to install filters in its manufacturing plants to reduce pollution. country x, considered for expansion, frequently goes to war with its neighbors. country y's government has recently taken over the subsidiary of one of your competitors, another u.s.-based mnc. Use the drop-down menus to complete the statements about counterclaims and rebuttals in an argumentative essay.A counterclaim is a(n) .A uses logical reasons to argue against a counterclaim.When forming a rebuttal, the writer must include . For this lesson, you are todevelop a project of goals associated with the five dimensions of health. specifically, youare to recall and list the five dimensions of health from the beginning of the course andtie in the information you learned over the past lessons and set goals in each dimension.the goals can be things you already do in that dimension (you must describe specificallywhat you do) or goals you want to reach (again, describe what you will do to reach thewellness goal in that dimension). these goals should be for now, but you should aim tocontinue doing them in the future. albert and mary score equal grades in a test. mary is a close relative of the evaluator who assigned the grades to both of them. which of the following statements, if true, would indicate that this is an example of ingroup favoritism? a. albert had performed much better than mary in the test b. both albert and mary had performed well in the test. c. mary had performed much better than albert in the test d. neither albert nor mary had performed well in the test. Which paradigm focuses on equal opportunity, fair treatment, recruitment of minorities, and strict compliance with the equal employment opportunity laws? Learning and effectiveness Profit and growth Discrimination and fairness Access and legitimacy Consider the following series: (-1)^ 71n n We will test this series for convergence or divergence. (i) What test(s) is(are) applicable to test this series? Click for List (i) Determine whether this series converges or diverges. O Converges O Diverges (iii) What is the sum of the series? Note: Write the exact answer not the decimal approximation (for example write 1 / not 0.8). Answer: The sum of the series is PO When you dont replace the marble for the second draw what kind of probability is it? Please help me with this Find a formula for the slope of the graph of fat the point (x, f(x)). Then use it to find the slope at the two given points. 1. Harry is playing on a swing set at a park. It takes 17. 3 seconds for him to swing back and forth 5 times. What is the swing's period?2. What is the frequency of a wave that occurs 278 times every 20 seconds?3. The lowest frequency that the average human ear can hear is 20 Hz. This sound wave travels at a speed of 331 m/s through the air. What is the wavelength of this sound wave?