Write an equation (y=mx+b) for the following word problem.

A cat weighs 30 pounds and is on a special diet to lose 2 pounds per month.
Please help this is due today

Answers

Answer 1

Answer:

Steps to find the equation of a line from two points:

Find the slope using the slope formula. ...

Use the slope and one of the points to solve for the y-intercept (b). ...

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

Step-by-step explanation:

Answer 2

Answer:

[tex]y=-2x+30[/tex]

where y is the weight of the cat (in pounds) and x is the number of months.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

The y-intercept is the y-value when x is zero, so the initial value.

If the cat initially weighs 30 pounds, the y-intercept is 30.

The slope is the rate of change.

If the cat lost 2 pounds per month, then the rate of change is -2.

Therefore, the equation the models the given word problem is:

[tex]\boxed{\begin{minipage}{7 cm}\phantom{ww}\\$y=-2x+30$\\\\where:\\ \phantom{ww}$\bullet$ $y$ is the weight of the cat (in pounds). \\ \phantom{ww}$\bullet$ $x$ is the number of months.\\\end{minipage}}[/tex]


Related Questions

BAсThe sum of m AB and mBC is equal to:O 360° - MAC240" - MAC180т АС120

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The sum of mAB and mBC is equal

360 - mAC

which makes otion A the correct answer

i needed help with the problem. didn't understand it.​

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Answer:

a

Step-by-step explanation:

as all the other points had inflection

Pls help with number 20

Answers

Answer:

The lengths 8 cm, 14 cm, 15 cm can form a triangle

Explanation:

Given 8 cm, 14 cm, 15 cm

These can form a triangle if the sum of any two sides of the triangle is greater than the third side.

8 + 14 > 15

14 + 15 > 8

8 + 15 > 14

Since all the above are true, we conclude that they can form a triangle

If the ratio of red objects to blue objects is 3 : 1, what precent of the objects are red?

Answers

Answer:

75%

Step-by-step explanation:

If the ratio of red:blue is 3:1, then there are 4 (some multiple of 4) in all.

The ratio of red:total is 3:4

3/4 is .75, times by 100 to convert to a percent.

.75 × 100 is 75%

In exercises 11-14 ,find m<1,m<2, and m<3.explain your reasoning ?

Answers

The measure of angles 1, 2, and 3 in exercise 11. are 100°, 80°, and 100°.

The measure of angles 1, 2, and 3 in exercise 12. are 47°, 133°, and 47°.

The measure of angles 1, 2, and 3 in exercise 13. are 80°, 80°, and 100°.

The measure of angles 1, 2, and 3 in exercise 14. are 94°, 86°, and 94°.

For 11. part:

Considering a transversal p that cuts two parallel lines l and m,

Each pair of internal angles on the same side of a transversal that intersects two parallel lines are supplementary.

m∠1 + 80° = 180°

m∠1 = 180° - 80°

m∠1 = 100°

Similarly, m∠1 + m∠2 = 180°

⇒ 100° + m∠2 = 180°

⇒m∠2 = 180° - 100°

⇒m∠2 = 80°

and also, m∠2 + m∠3 = 180°

⇒ 80° + m∠3 = 180°

⇒m∠3 = 180° - 80°

⇒m∠3 = 100°

Therefore, m∠1 = 100°, m∠2 = 80° and m∠3 = 100°.

For 12. part:

m∠3 + 133° = 180°(interior angles are supplementary)

m∠3 =  180° - 133°

⇒m∠3 = 47°

m∠2 = 133°(alternate interior angles)

The angle vertically opposite to 133° would also be 133°.

So, 133° + m∠1 = 180°( interior angles are supplementary)

m∠1 = 47°

Therefore, m∠1 = 47°, m∠2 = 133° and m∠3 = 47°.

For 13. part:

m∠3 = 100° (vertically opposite angle)

Let's assume the angle adjacent to ∠3 is x.

m∠3 + m ∠x = 180° (Linear pair property)

100° + m ∠x = 180°

m ∠x = 180° - 100°

m ∠x = 80°

Therefore, m∠1 = m∠2 = m ∠x  = 80°(Corresponding angles are equal.)

For 14. part:

m∠1 + 86° = 180°(co-interior angles are supplementary)

m∠1 = 180°- 86° = 94°

The angle vertically opposite to m∠1 is also equal to 94°.

94° + m∠1 = 180°(co-interior angles are supplementary)

m∠2 = 86°

Similarly, the angle vertically opposite to m∠2 is also equal to 86°.

86° + m∠3 = 180°(co-interior angles are supplementary)

m∠3 = 94°

Therefore, m∠1 = 94°, m∠2 = 86° and m∠3 = 94°.

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How many
inches are in 3.5 miles

Answers

Answer:

221 760 inches

Step-by-step explanation:

So, 3.5miles * 63360= 221760 inches.

Formula: multiply the value in miles by the conversation factor '63360'.

what is the equation of a line that goes through the points 2, -2 and 0,2

Answers

it is vital that we first find the gradient/slope between the points .

[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\m=\frac{2-(-2)}{0-2} \\m=\frac{4}{-2} \\m=-2[/tex]

The general equation of a straight line is given by y=mx+c I will use the points (0,2) to find the value of y since the other variables are found already.

[tex]2=-2(0)+c\\\\c=2[/tex]

⇒This tells us that the equation of the line is y=-2x+2

express the final answer in terms of log x, and log y
log x^3y^2

Answers

The logarithmic function log ( x³ y² ) when expressed in terms of log x and log y is 3 log ( x ) + 2 log( y).

The opposite of exponentiation is the logarithm. In other words, the exponent to which a fixed number, the base a, must be raised in order to create a specific number x, is represented by the logarithm of that number.

Consider the logarithmic function log x³ y⁴

Using the logarithmic formula,

log ( a b ) = log  (a) + log (b)

We have,

log( x³ y² )  = log ( x³ ) + log( y² )

By applying the logarithmic property:

log ( xⁿ ) = n log x

We have,

log x³ y² = log ( x³ ) + log( y² )

log x³ y² =  3 log ( x ) + 2 log( y)

Therefore, the function log ( x³ y² ) in terms of log x and log y is 3 log ( x ) + 2 log( y).

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The area of a rectangular pool is 8217m2. If the Length of pool is 99m, what is its width

Answers

The width of rectangle is 83 meter.

What is the area of rectangle?

By dividing the rectangle's length by its breadth, we may determine the area of a rectangle.

Formulas for rectangles.

Formula for the perimeter of a rectangle. Rectangle Area Formula: P = 2 (l + b). A = l × b, where l is length of rectangle and b is width of rectangle.

Given area of rectangle is 8217m^2

length l = 99 m

Let width of rectangle be b meter

Therefore,

99 x b = 8217

=> b = 8217/99

=> b = 83

Therefore, the width of rectangle is 83 m.

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Write an equation in slope-intercept form for the line with slope -4/3 and y-intercept 3

I got that but I’m not sure if it’s right.

Answers

Answer:

[tex]y=-\frac{4}{3}x+3[/tex]

What 2 2/4 x 3 5/6
I need an answer quick because i need this answer.

Answers

[tex] \frac{10}{4} \times \frac{23}{6} \\ = \frac{230}{24} \\ = \frac{115}{12} \\ = 9 \frac{7}{12} [/tex]

ATTACHED IS THE SOLUTION

Write an equation for the function graphed below. The y intercept is at (0,0.2)

Answers

Equation for the function graphed is f(x) = -0.6 (x - 1)² ÷ (x + 1)(x + 3)

Given, the y-intercept is at (0, 0.2).

From the given graph, it can be deduced the vertical asymptotes are at x = -1, x = 1 and x = -3.

Which implies denominator is 0 and the function is undefined for x = -1, x = 1 or x = -3.

So, -1 and -3. are the roots of the denominator. As a result, the denominator equation has the form: (x + 1)(x + 3).

For finding the equation of the function f(x) = a(x - 1)² ÷ (x + 1)(x + 3)

Put f(0) = 0.2

f(0) = a(0 - 1)² ÷ (0 + 1)(0 + 3) = 0.2

a = - 0.6

∴ Equation is f(x) = -0.6(x - 1)² ÷ (x + 1)(x + 3) for y-intercept is at (0,0.2).

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Find the scale factor from triangle A to triangle B:

Answers

Answer:

Step-by-step explanation:

x=3?

Answer:

3

Step-by-step explanation:

If you multiply 1 by 3 it gives you 3, the side of triangle B. Using that scale factor. you can then take the side of triangle B that is 9 and divide it by 3. That gives you the missing side of triangle A.

Hope this helps! :)

Which value of xis in the domain of f(x) = √x – 7?

Answers

We are looking for values of x that will not make the equation undefined .Obviously the function has restrictions we have to make sure that x-7 is always ≥0 because it is under a square root

[tex]x-7\geq 0\\x\geq 7[/tex]

The domain of the function is all the real numbers greater or equal to  7 .

x≥7 ε R

State the slope of each line-without rewriting the equation in y = mx + b form:

Answers

a. Given the expression of the form Ax + By + C = 0, the slope is

[tex]\text{slope}=\frac{-A}{B}[/tex]

In this case: A = -2 and B = 3.

[tex]\text{slope}=\frac{-(-2)}{3}=\frac{2}{3}[/tex]

Answer: 2/3

b. A = -4 and B = 1, so

[tex]\text{slope}=\frac{-(-4)}{1}=4[/tex]

Answer: 4

c. A = 5 and B = -7, so

[tex]\text{slope}=\frac{-5}{-7}=\frac{5}{7}[/tex]

Answer: 5/7

d. A = 5 and B = -8, so

[tex]\text{slope}=\frac{-5}{-8}=\frac{5}{8}[/tex]

Answer: 5/8

Find the length of the third side. If necessary, write in simplest radical form.

Answers

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{4}\\ b=\stackrel{opposite}{2}\\ \end{cases} \\\\\\ c=\sqrt{4^2 + 2^2}\implies c=\sqrt{16 + 4}\implies c=\sqrt{20}[/tex]

You are one of the retirement counselors at the Valley View Bank. You have been asked to give a presentation to a class of high school seniors about the importance of saving for retirement. Your boss has designed an example for you to use in your presentation. The students are shown five retirement scenarios and are asked to guess which yields the most money. Note: All annuities are ordinary annuities. Also, although some people stop investing, the money remains in the account and receives 10% interest compounded annually. Look over each scenario and make an educated guess as to which investor will have the largest accumulation of money invested at 10% over the next 40 years. Then for your presentation, calculate the final value for each scenario, how much each person actually contributed, and how much interest was earned. • Adam invests $1,200 per year and stops after 15 years (remember, the balance will remain in this account, earning 10% interest compounded annually for the remaining 25 years. • Becky waits 15 years, invests $1,200 per year for 15 years, and then stops (balance will earn int • Clare waits 15 years, then invests $1,200 per year for 25 years. • David waits 10 years, then invests $1,500 per year for 15 years, and then stops (balance will earn interest for the remaining 15 years). • Ellen waits 10 years, then invests $1,500 per year for 30 years.

Answers

The retirement counselors at the Valley View Bank$454404.05 > $129818.11 > $108780.71, then the Venus have the largest accumulation.

[tex](1+10)^{15}[/tex]Venus invests $1,200 per year and stops after 15 years.

He can get money : [tex]1200*[/tex] [tex](1+10)^{15}[/tex] at the first year,

We can use ,

Compound interest formula, S = [tex]P*(1+i)^{n}[/tex]

Where,

P means the Principal

I means the interest

n means the year

S means the principal and interest

At the second year he can get,

= 1200 * [(1+[tex]\frac{10degrees}{1}[/tex]) + ([tex]1+[\frac{10degrees}{1} ]^{2}[/tex])

The money of first year has two years interest,

The money of second year has one year interest.

So, we can calculate the 15th year he can get :

= 1200 * [[tex](1+\frac{10degrees}{1}] ^{1}) +(1+(\frac{10degrees}{1} )^{2} )+......(1+(\frac{10degrees}{1})^{15} )[/tex]

= 1200 * [tex]\frac{(1*1)*(1-1*1^{15} )}{1-1*1}[/tex]

The sum of geometric progression,

[tex]S_{n} =\frac{a*(1-q)^{n} }{1-q}[/tex]  ,  q≠1

= $ 41939.67

The rest of years he can get money :

= 41939.67 * ([tex](1+10percent))^{40-15}[/tex]

= $ 454404.053

Kevin can get money 1200* [[tex](1+(\frac{10degrees}{1}) ^{1} )+.......(1+(\frac{10degrees}{1} )^{15} )[/tex]

= 41939.67 at 30th year

Finally he can get money = 41936.67 [tex](1+\frac{10degrees}{1}) ^{40-15*0}[/tex]

= $ 108780.71

Rafael can get money : 1200 * [[tex](1+(\frac{10degrees}{1}) ^{1} )+.......(1+(\frac{10degrees}{1} )^{25} )[/tex]

= $ 129818.11

$454404.05 > $129818.11 > $108780.71

Therefore,

The retirement counselors at the Valley View Bank$454404.05 > $129818.11 > $108780.71, then the Venus have the largest accumulation.

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Multiply using the FOIL method.
(8z + 7)(9z-1)

Answers

Answer: [tex]72z^{2} +55z-7[/tex]

Step-by-step explanation:

We multiply each component with each other:

8z * 9z = 72z^2

8z * -1 = -8z

9z * 7 = 63z

7 * -1 = -7

We then add it all together, 63z + -8z = 55z and get

[tex]72z^{2} +55z-7[/tex]

equations with parenthesis

Answers

[tex]\begin{gathered} 2(b+4)-3=17 \\ \text{open te bracket} \\ 2b+8-3=17 \\ 2b+5=17 \\ 2b=17-5 \\ 2b=12 \\ b=\frac{12}{2} \\ b=6 \end{gathered}[/tex]

Answer:b=6

Step-by-step explanation:

PLS ANSWER THIS MATH PROBLEM!!

Answers

Answer:

48[tex]units^{2}[/tex]

Step-by-step explanation:

Mr. Anderson decides to visit a childhood friend. His car gives him 24.23 miles to the gallon. Mr. Anderson has 4 gallons of fuel. Which of the following is true?

A: Mr. Anderson can travel 48.46 miles.
B: Mr. Anderson can travel 112.92 miles.
C: Mr. Anderson can travel 96.92 miles.
D: Mr. Anderson can travel 80.92 miles.

Answers

Answer:

C

Step-by-step explanation:

multiply 24.23 by 4

I would appreciate it if anyone could help?
:)

Answers

The most appropriate choice for corrosponding angle will be given by-

x = 2 is the correct answer

What is corrosponding angle?

At first we need to understood what is angle, parallel lines and transversal

Angle

When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle.

Parallel lines

Two lines are said to be parallel if on extending them indefinitely, they will never intersect

Transversal

Transversal is a line that intersects two or more parallel lines

Corrosponding angle

The angles formed in the same position on the same side of transversal when a transversal cuts two or more parallel lines

Here,

(7x + 3)° and (8x + 1)° are corrosponding angles.

Lines m and n are parallel.

So corrosponding angles are equals

By the problem,

(7x + 3) = (8x + 1)

8x - 7x = 3 - 1

x = 2

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A set of average city temperatures in April are normally distributed with a mean of 19.7 Celsius in a standard deviation of two Celsius the average temperature of Kabul is 15 Celsius what proportion of the average city temperatures are lower than that of Kabul?

Answers

Answer:

There is a proportion of 0.94% cities with average city temperatures lower than that of Kabul

Step-by-step explanation:

In this question, we are to calculate the proportion of average city temperatures lower than that of Kabul.

Firstly, we shall calculate the z score

Mathematically;

z = (value - mean)/standard deviation = 15 - 19.7/2 = -4.7/2 = -2.35

so we are to calculate the probability of; P(z< -2.35) = 0.0094

This means there is a proportion of 0.94% cities with average city temperatures lower than that of Kabul

Need help for this

Answers

Answer:

[tex]1. a=-10[/tex]

[tex]2. b=-0.2[/tex]

[tex]3. c=0.25[/tex]

Step-by-step explanation:

1. 1/5a = -2

a=-10

2. 8+b=7.8

b=-0.2

3.-0.5=-2c

c=0.25

:]

(Brainliest would help a lot) Tell me if this is incorrect!

Is 47/8 less then 23/4

Answers

Answer:

no

Step-by-step explanation:


Generally you can't really compare two functions with a different denomination, and you want to multiply the fractions by some fraction: [tex]\frac{a}{a}[/tex] which simplifies to one so we're not changing the value of the fraction at all but it helps so we have the same denominator.

You'll notice we can multiply 4 by 2 to get 8, which would give us the same denominator as 8.

[tex]\frac{23}{4}*\frac{2}{2}=\frac{46}{8}[/tex]

Now it's much easier to compare: [tex]\frac{47}{8}\text{ and }\frac{46}{8}[/tex] and here all we have to compare is the numerators, and obviously 47 is greater than 46 so the 47/8 is greater than the 23/4. This means 47/8 is not less than 23/4

help meeeeeeeeeeeeee

Answers

Answer:

74.44

Step-by-step explanation:

[tex]P(10)=0.018(10)^3-0.294(10)^2+3.065(10)+55.190 \\ \\ =74.44[/tex]


A genetic experiment with peas resulted in one sample of offspring that consisted of 434 green peas and 153 yellow peas.
a. Construct a 90% confidence interval to estimate of the percentage of yellow peas.
b. Based on the confidence interval, do the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow?

Answers

a) The 90% confidence interval to estimate the percentage of yellow peas is (23.09%, 29.03%.)

b) Based on the confidence interval, the results of the experiment do not appear to contradict the expectation that 25% of the offspring peas would be yellow.

Given:

Confidence level,c = 90% = 0.90

Number of successes, x = 153

Sample size,n = 434 + 153 = 587

a) The sample proportion is the number of successes divided by the sample size is,

p = x/n

p = 153/587

p ≅ 0.2606

For confidence level 1 - α = 0.90, determine [tex]z_{\alpha /2} = z_{0.05}[/tex] utilizing the normal probability table in the appendix

[tex]z_{\alpha /2} = 1.64[/tex]

The margin of error is calculated as:

[tex]E = z_{\alpha /2} \sqrt{\frac{p(1-p)}{n} }[/tex]

[tex]E = 1.64\sqrt{\frac{0.2606(1 -0.2606)}{587} }[/tex]

E ≅ 0.0297

Therefore, the boundaries of the confidence interval are:

p - E = 0.2606 - 0.0297 = 0.2309 = 23.09%

p + E = 0.2606 + 0.0297 = 0.2903 = 29.03%

We are 90% confident that the true percentage of yellow peas is between 23.09% and 29.03%.

b) As 25% is between 23.09% and 29.03%, and 25% of the offspring are expected to be yellow peas and thus the results do not contradict expectations.

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log 2 8 = 3 can be written in the form 2 A = B where

Answers

The equation written in exponential form is (a) 2³ = 8

What are exponents?

A symbol used to denote the action of raising to a power that is written above and to the right of a mathematical phrase.

What is equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Given equation is

㏒₂ 8 = 3

㏒ₐx = b

x = aᵇ

㏒₂8 = 3

8 = 2³

Hence, (a) 2³ = 8

Therefore, the equation written in exponential form is (a) 2³ = 8.

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Kari wins 1,282 tickets at an arcade. For each group of 65 tickets, she will receive a prize. Kari solves the problem 1,282 ÷ 65 and determines that she has enough tickets right now for 19 prizes. What is the least number of additional tickets that Kari needs to win to have enough tickets for a 20th prize?and i need a step by step explanation.

Answers

Answer:

18 more tickets

Step-by-step explanation:

What we know:

We know that 65 Tickets is 1 Prize.

We know we have 1,282 tickets.

So if 65 tickets is one prize

then to figure out how many for twenty then we:

65 x 20 = 1300

Now to figure out how many more she needs at the least we:

1300 - 1282 = 18

So for 1 more prize she needs 18 more tickets.

Find the sample standard deviation.

15 42 53 7 9 12 14 28 47

Answers

The answer to your question is s. sqrt (316.9) = 17.8 when you take the square root of that number. As a result, the correct response is 17.8.

This is further explained below.

What is the sample standard deviation?

Generally, Because you need to calculate the sample standard deviation to answer the question, use the following formula:

[tex]s = \sqrt {{ \sum of x - \bar x}{(n - 1} }[/tex]

There are 9 numbers, there, so n - 1 = 8

find the mean

[tex]\bar x[/tex]: 15 + 42 + 53 + . . . + 47 = 227. 227 / 9

x= 25.2

After that, deduct one from each number and then square the output, as seen here:

(15 - 25.2) = 104.0 (42 - 25.2)²

= 282.2 (53 - 25.2)²

= 772.8

After that, total up all of those values. The response to this, using this illustration as an example, is

[tex]x=\frac{ 2,535.2}{ 8}[/tex]

x= 316.9.

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I need help answering this math equation? 30 points define in your own words biology A 63.1 kg weight-watcher wishes to climb a mountain to work off the equivalent of a large piece of chocolate cake rated at 797 (food) Calories. How high must the person climb? The acceleration due to gravity is 9.8m/s^2 and 1 food Calorie is 10^3 calories. Answer in units of km. Solve the equation +=.4 plus . fraction 3 x minus 1 , over 2 end fraction . equals 9 . Explain the reasons why you chose your solution method. Four liters of water are mixed with 6 juices lemons to make lemonade. How many liters of water should be mixed with 10 juiced lemons to obtain the same result? (show work)F.) 4 2/3G.) 5 1/3H.) 6 1/3J.) 6 2/3K.) 8 1/3 Question: The Coca-Cola Company markets the coke brand and manufactures concentrate for sale to regional bottlers. Coke bottlers mix concentrate with sweetener and water to produce the soft drink for supermarkets, restaurants, and other retail outlets. Possible sweeteners include corn syrup and sugar. Owing to federal restrictions against imports, sugar is relatively more expensive in the U.S. than the rest of the world.Why do U.S. soft drink bottlers use relatively more corn syrup than bottlers elsewhere in the world?Explain how the following changes would affect a Coke bottlers demand curve for corn syrup: (i) removal of the federal restrictions against sugar imports; (ii) fall in the price of corn syrup; and (iii) increase in the sales of Pepsi.How would an increase in Pepsi advertising affect the demand for Coke?any answers Purple hibiscusChapter 6Page. 74-75: Who was Aunty Ifeomas husband and where is he now? What does she do for a living? Question 1Which of the following defines interdependence?O In interdependent relationships, there is a sense that one must help others achieve their goals before pursuing one's own goals.O In interdependent relationships, some members are dependent while some are not.O In interdependent relationships, there is is mutual reliance, or mutual dependence, between two or more people or groups. beginning in the mid-1970s, the united states government has deregulated several industries, such as airlines, trucking, railroads, and telecommunications. on average, deregulation has If the letter n represents a positive integer {1,2,3,4} the next consecutive is? An inequality is shown below. 4x + 2 < 2x + 9 Which graph shows the solution to the inequality? Period 49/22/2020My name is Steven khelah. I'm not quite sure if my parnet called me Steven becausethey actually liked how it sounded or if they were inspired by the amount of characters named steven. I was born late at night, in a hospital. My birth place was Egypt in Cairo, where I livedthe first 4 year of my life. how can I improve this describe the rule of amenenhat Barbara Bright is the purchasing agent for WestValve Company. West Valve sells industrial valvesand fluid control devices. One of the most popularvalves is the Western, which has an annual demandof 4,000 units. The cost of each valve is $90, and theinventory carrying cost is estimated to be 10% ofthe cost of each valve. Barbara has made a study ofthe costs involved in placing an order for any of thevalves that West Valve stocks, and she has concludedthat the average ordering cost is $25 per order.Furthermore, it takes about two weeks for anorder to arrive from the supplier, and during thistime the demand per week for West valves is approximately80.(a) What is the EOQ?(b) What is the ROP?(c) What is the average inventory? What is theannual holding cost?(d) How many orders per year would be placed?What is the annual ordering cost? Hopeful tones at the end of the book Fahrenheit 451 The connotation of a word is the emotional meaning of the word, or the feeling it produces within people. Claire left her home at 11 a.m. travelling along route 1 at 30 miles per hour. At 1 pm,Her counsin Valerie left home and started after her on the same road at 45 miles per hour.At what time did Valerie catch up with Claire ?(Please give a step by step explanation and answer correctly) What part of a teenagers brain is not fully developed which may cause inability toreason and use rational behavior?4Frontal CortexOccipital LobeCerebellumCorpus Collosum -3k+4=-2-6k please help me with this equation (-3)+(-10)+(-17)+....... as far as the 11th term