helppppp ahhhh!!

At the library there is a four hour span of time to use a computer. The time slots are 1/3 hour long. How many time slots are there?

Answers

Answer 1
Answer:
12 slots
Step-by-step explanation:
1/3 of an hour = 20 minutes
4 hours * 60 =240mins/20mins=12
Answer 2

Step-by-step explanation:

\( \frac{4 \: hours}{computer} \times \frac{1 \: slot}{ \frac{1}{3} hour } = 12 \: \frac{slots}{computer} \)


Related Questions

Match the correct equation below with the following description of a line: The line is increasing from left to right and
crosses the y-axis at -3.

A. f(x) = -3x - 3
B. f(x) = 3x + 3
C. f(x) = -3x + 3
D. (x) = 3x - 3

Match the correct equation below with the following description of a line: The line is increasing from

Answers

D it has a positive slope so it increases from left to right. Correct me if I’m wrong. Hope it helped. (I think)

In a class of 26 students, 11 are female and 10 have an A in the class. There are 2 students who are female and have an A in the class. What is the probability that a student is a female given that they have an A?

Answers

The probability that a student is a female given that they have an A is 0.2

How to determine the probability?

The given parameters are:

Female = 11

A= 10

Female and A = 2

The probability is calculated using:

P(Female given A) = P(female and A)/P(A)

This gives

P(Female given A) = 2/10

Simplify

P(Female given A) = 0.2

Hence, the probability that a student is a female given that they have an A is 0.2

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

Bob packs 13 pounds of nuts in bags. Each bag has 1/4 pound of nuts. Which equation shows the number of bags Bob packed with all the nuts?
13 × 1/4 = 52

13 ÷ 1/4 = 52

13 ÷ 1/4 = 14/4

13 × 1/4 = 13/4

Answers

The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags

Given data ,

Bob packs 13 pounds of nuts in bags.

Each bag has 1/4 pound of nuts

Now , the number of bags = pounds of nuts / pounds of nuts in each bag

A = 13 / 1/4

On simplifying the equation , we get

A = 52 bags

Hence , the number of bags is 52 bags

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

solve for x filler filler filler filler filler filler

solve for x filler filler filler filler filler filler

Answers

Answer:

-7

Step-by-step explanation:

All the white cubes represent 1, therefore there are 5 cubes.  So the equation is 5 + -x = -2.  Since 5 + -7 = -2, then -7 is our answer.

All of the odd numbers from 1-999 would equal the sum of

Answers

Answer:

249500

Step-by-step explanation:

Are the following figures similar?

Trapezoids ABCD and EFGH are shown. Angle A equals 137 degrees, Angle B equals 90 degrees, Angle C equals 90 degrees, Angle D equals 43 degrees, Angle E equals 136 degrees, Angle F equals 90 degrees, Angle G equals 90 degrees, Angle H equals 44 degrees.

Answers

No, the trapezoids are not similar because their corresponding angles do not have the same measures.

The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.

Let's examine the angles of the trapezoids:

In trapezoid ABCD:

Angle A = 137 degrees

Angle B = 90 degrees

Angle C = 90 degrees

Angle D = 43 degrees

In trapezoid EFGH:

Angle E = 136 degrees

Angle F = 90 degrees

Angle G = 90 degrees

Angle H = 44 degrees

By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.

However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.

Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.

for such more question on trapezoids

https://brainly.com/question/22351006

#SPJ8

Solve for x.
3/4(8x-12)=2(4x+1)-4
What are the step to this equation.

Answers

1. Simplify the expression
Combine like terms:
3/4(8x-12)=2(4x+1)-4
6x-9=2(4x+1)-4
6x-9=8 x-2

2. Group all X terms on the left side of the equation
Subtract 8X from both sides:
6x-9=8 x-2
(6x-9)-8x=(8x-2)-8x
-2x-9=(8x-2)-8x
-2x-9=-2

Group all constants on the right side of the equation
Add 9 to both sides of the equation:
-2x-9=-2
(-2x-9)+9=-2+9
-2x=-2+9
-2x=7

Isolate the X
Divide both sides of the equation by -2:
-2x=7
(-2x) 7
——- = —
-2 -2

X= 7

-2

X= -7

2

describe the inequality 5x>4x+7 in words​

Answers

Answer:

five times a number is greater than the sum of four times that number and seven

g in a school course, course x is related to course y if all the students who take course x are also in course y

Answers

This question is incomplete , I am answering this question in general as per my knowledge.

No, because you gave T a Boolean when T expected a student as its first argument and a course as its second parameter. This will be less formal if.

The expected,

T(‘‘user2012813",‘‘discrete math")=true

However, the function F(x) and A both yield either true or false (y). Thus, you are attempting to assess

T(F(‘‘user2012813"),A(‘‘discrete math"))=T(true, false)= NULL

Only the first formulation makes sense, but after relations are established, these kinds of structures can be used.

Null functions as both a value and a pointer in computer programming. A built-in constant called null has a value of zero. It is the same as how strings in C are terminated with the letter 0.

Null is another possible value for a pointer, and unless the CPU supports a unique bit pattern for a null pointer, it has the same value as zero.

To learn more about Boolean

brainly.com/question/2467366

#SPJ4

1
3.8.2 - Test: Functions, Equations, and Graphs Unit lest Part 2
Algebra 2 A (CL), 7 20/3. Functions, Equations, and Graphs / 3 8. Functions, Equations, and Graphs Unit Test
1. Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
х
у
7
11
8
13
9
15
17
10
1. Determine whether y varies directly with X. If so, complete steps 2 and 3 below. If not, explain why not.
2. Find the constant of variation, k
3. Write the equation
B
i
u
Font Family
- AA- Po
V
I

Answers

Answer:

y do not vary directly with x

Step-by-step explanation:

Given

x ----- y

7------11

8------13

9------15

10----17

Required

Determine if y varies directly with x

To do this, we make use of the following equation

\(y = kx\)

Where

k = constant of variation

Make k the subject

\(k = \frac{y}{x}\)

When

\(x = 7; y = 11\)

\(k = \frac{11}{7}\)

\(k = 1\frac{4}{7}\)

When

\(x = 8; y = 13\)

\(k = \frac{13}{8}\)

\(k = 1\frac{5}{8}\)

Note to have a direct variation, the constant of proportionality must be equal for all corresponding values of x and y.

In the above calculations, we have:

\(k = 1\frac{4}{7}\) and \(k = 1\frac{5}{8}\)

Because of the difference in the values of k, we can conclude that y do not vary directly with x.

Hence, there's no need to solve for other x and y values and there's no need to solve for (2) & (3)

Estimate 11,319+4,865 by first rounding each number to the nearest thousand.

Answers

Answer:

16,000

Step-by-step explanation:

11,319 rounded to the nearest thousand is 11,000.

4,895 rounded to the nearest thousand is 5,000.

11,000 + 5,000 is equal to 16,000.

The hole for a support needs to be6 feet deep. It is currently 2 feet 9 inches deep. How much deeper must the hole be. Use the conversion factor 12 inches/ 1 foot

Answers

The hοle needs tο be 39 inches deeper.

What is the cοnversiοn factοr?

A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.

The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).

Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:

6 feet - 2.75 feet = 3.25 feet

Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:

3.25 feet x 12 inches/1 fοοt = 39 inches

Therefοre, the hοle needs tο be 39 inches deeper.

To learn more about the conversion factor visit:

https://brainly.com/question/97386

#SPJ1

Write the number eight million, one in number form​

Answers

Answer:

8000001

Step-by-step explanation:

F(X)=-3x^2+12x-9 determine if it’s maximum or minimum and find the value

Answers

Answer:

the function f(x) = -3x^2 + 12x - 9 has a maximum value of 3, which occurs at x = 2.

Step-by-step explanation:

To determine whether the function f(x) = -3x^2 + 12x - 9 has a maximum or minimum, we can use the fact that a quadratic function has a maximum at the vertex if the coefficient of x^2 is negative, and a minimum at the vertex if the coefficient of x^2 is positive.

In this case, the coefficient of x^2 is -3, which is negative, so the function has a maximum at the vertex. The x-coordinate of the vertex is given by -b/2a, where a is the coefficient of x^2 and b is the coefficient of x. Using the formula, we get:

x = -b/2a = -12/(2*(-3)) = 2

So the vertex of the parabola is at x = 2. To find the corresponding y-coordinate (i.e. the maximum value of the function), we can substitute x = 2 into the function:

f(2) = -3(2)^2 + 12(2) - 9 = -3(4) + 24 - 9 = 3

Therefore, the function f(x) = -3x^2 + 12x - 9 has a maximum value of 3, which occurs at x = 2.

Point A is located at (7, -3) and is reflected in the y-axis. What are the coordinates of point A'?
a (-7, -3)
b (-7, 3)
c (7, 3)
d (7, -3)

Answers

THE ANSWER CORRECT IS b

Answer:

its B

Step-by-step explanation:

at a baseball game a vender sold a combined total of 141 sodas and hot dogs. the number of sodas was 51 more than the number of hotdogs sold. Find the number of sodas sold and the number of hot dogs sold

Answers

Sodas: 96
Hot Dogs: 45

Write the expression as a single power of b.

open parentheses b to the power of begin display style 3 over 4 end style end exponent over b to the power of begin display style 1 fourth end style end exponent close parentheses to the power of 1 half end exponent

Answers

The simplified form of the given expression is x raise to the power of one-thirty.

What is an expression?

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

Simplifying indices expressions

Given the indices expression (x^1/2/(x^1/3)^1/5

Using the indices law below:

a^m/a^n = a^m-n

(a^m)^n

Applying the law above to the given equation

(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5

(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5

(x^1/2/(x^1/3)^1/5 = x^1/30

Hence the simplified form of the given expression is x raise to the power of one-thirty.

Learn more on indices here:

brainly.com/question/10339517

#SPJ1

Which set of points lies on the the graph of the function? Responses A {(0, 0), (-1, -1), and (1, 1)}{(0, 0), (-1, -1), and (1, 1)} B {(0, 0), (-1, 1), and (1, -1)}{(0, 0), (-1, 1), and (1, -1)} C {(0, 0), (1, 1), and (2, 2)}{(0, 0), (1, 1), and (2, 2)} D {(1, 1), (1, 2), and (2, 3)}{(1, 1), (1, 2), and (2, 3)} E {(0, 0), (-1, 1), and (1, 2)}{(0, 0), (-1, 1), and (1, 2)} DUE TODAY PLEASE PLEASE PLEASE PLEASE HELP I'LL GIVE FIVE STARS AND HEART I'D APPRECIATE IT SO MUCH

Answers

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

Learn more about graph of the function here:

https://brainly.com/question/15165011

#SPJ1

Which set of points lies on the the graph of the function? Responses A {(0, 0), (-1, -1), and (1, 1)}{(0,

Answer:

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

Step-by-step explanation:

Write an integral that represents the area of the shaded region of the figure. Do not evaluate the integral. r = cos(2θ)

Answers

The area of the shaded region - \(\int\limits^\frac{5\pi }{4} _\frac{3\pi }{4}\) \(cos^{2}\) 2θ dθ

Determine α, β and f(θ).

To determine α and β, imagine a clock dial that turns counter-clockwise around the origin. The shaded area must be passed over by the dial. Place the dial in its starting position, and find the angle it makes with the horizontal axis, this angle is α. Do the same for the dial's end position, this angle \(\beta\) .

To find f(θ), this equals r.

     α= \(\frac{3\pi }{4}\)

      β= \(\frac{5\pi }{4}\)

​     f(θ)=r=cos2θ

we know the integration formula,

A = \(\int\limits^\alpha _\beta\) f (θ )² dθ

Hence, the area of the shaded region:

A =    \(\int\limits^\frac{5\pi }{4} _\frac{3\pi} {4} \,\)  \(cos^{2}\) 2θ dθ

Read more about integration :

https://brainly.com/question/22008756

#SPJ4

Can u please help me with 3&4 I’m giving 20 point please help me

Can u please help me with 3&4 Im giving 20 point please help me

Answers

Answer:

Step-by-step explanation:

Can u please help me with 3&4 Im giving 20 point please help me

A project has the following projected outcomes in dollars: $230, $340, and $590. The probabilities of their outcomes are 25%, 55%, and 20% respectively. What is the expected value of these outcomes? $362.50 $347.50 $407.50 $377.50

Answers

Answer:

$362.5

Step-by-step explanation:

Given that :

x : _____ 230 ______340 ______ 590

P(x): ____0.25______0.55 _____ 0.20

To obtain the expected value E(x) of the outcome ; we can use the formula :

E(x) = Σ(x * P(x))

E(x) = (230 * 0.25) + (340 * 0.55) + (590 * 0.20)

E(x) = 57.50 + 187 + 118

E(x) = 362.50

name each anchor in four ways

name each anchor in four ways

Answers

Answer:

< E

< 1

< DEF

< FED

Step-by-step explanation:

When you use three letters, E has to be in the middle.

Which expression is equivalent to "9 more than the quotient of x and 5

Answers

The required expression is (x / 5) + 9

Given that we have to build an equation for the statement "9 more than the quotient of x and 5,

So,

This expression represents the quotient of x divided by 5, and then adding 9 to the result.

Therefore,

"9 more than the quotient of x and 5" can be written mathematically as:

(x / 5) + 9

Hence the required expression is (x / 5) + 9

Learn more about expression click;

https://brainly.com/question/15994491

#SPJ1

f(x)=3/2x-3 g(x)=5x+4 determine where f(x)=g(x)

Answers

Answer:

x = -2

Step-by-step explanation:

I am not sure you typed this correctly.

the way you wrote this, it says

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

but I suspect you mean

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

our even

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

I assume the last one.

3/(2x - 3) = 5x + 4

that is what is meant by f(x)=g(x) : find out the value(s) of x for which the y/result values of both functions are the same.

so, then we can transform

3 = (5x + 4)×(2x - 3)

3 = 10x² -15x + 8x - 12

10x² - 7x - 15 = 0

and this can be solved by the solution squared equations :

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case here

a = 10

b = -7

c = -15

so,

x = (7 ± sqrt(49 - 4×10×-15))/20 = (7 ± sqrt(49+600))/20 =

≈ (7 ± 25.48)/20

x1 = -18.48/20

x2 = 32.48/20

these are really not nice numbers for a homework or such.

so, let's try the next interpretation of what you wrote.

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

3/(2x) - 3 = 5x + 4

3/(2x) = 5x + 7

3 = 10x² + 14x

10x² + 14x - 3 = 0

a = 10

b = 14

c = -3

x = (-14 ± sqrt(196 - 4×10×-3))/20 =

= (-14 ± sqrt(196 + 120))/20 = (-14 ± 17.78)/20

that did not give any good numbers either.

so, next attempt :

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

3x/2 - 3 = 5x + 4

3x/2 = 5x + 7

3x = 10x + 14

7x = -14

x = -2

ok, so it seems the first, original interpretation was correct. sorry.

but just in case, please use the other 2 approaches if and as needed.

Show ur work and check it

Show ur work and check it

Answers

4 + b = 30
-4 -4
_________
b = 26


I think that’s correct

4x + 6 < 31 show all work

Answers

Answer:

x < 25/4 or x < 6.25

Step-by-step explanation:

subtract 6 from both sides

4x < 25

divide 4 from both sides

x < 25/4 = 6.25

Answer:

x < 25/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

4x + 6 < 31

Step 2: Solve for x

Subtract 6 on both sides:                    4x < 25Divide 4 on both sides:                        x < 25/4

Here we see that any number x less that 6.25 would be a solution of the inequality.

Find the area of the given circle.
99.8 km

Find the area of the given circle.99.8 km

Answers

Answer:

Area = 7822.61542 km²

Step-by-step explanation:

Área of a circle is:

area = π (d/2)²

π = 3.1416

d = diameter

In this case:

area = 3.1416 * (99.8/2)²

area = 3.1416 * 49.9²

area = 3.1416 * 2490.01

area = 7822.61542km²

Expand. Your answer should be a polynomial in standard form. (- 2h + 9)(9h - 2) = (9h - 2) =

Expand. Your answer should be a polynomial in standard form. (- 2h + 9)(9h - 2) = (9h - 2) =

Answers

Answer:18h^2+85h-18

Step-by-step explanation:

Answer:

−18h^2+85h−18

Step-by-step explanation:

Solve the equation 2/3x - 1/5x = x - 1

Answers

Answer:

To solve the equation:

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

First, we need to find a common denominator for 2/3 and 1/5, which is 15. So we can rewrite the equation as:

(10/15)x - (3/15)x = 15/15 x - 1

Simplifying the left side:

(7/15)x = 15/15 x - 1

Multiplying both sides by 15:

7x = 15x - 15

Subtracting 7x from both sides:

-8x = -15

Dividing both sides by -8:

x = 15/8 or 1.875

Therefore, the solution to the equation is x = 1.875.

Here are the shopping times (in minutes) of ten shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 5.)

Here are the shopping times (in minutes) of ten shoppers at a local grocery store.Complete the grouped

Answers

The frequency which is to filled in the table is 1, 4, 2 and 4.

Given that;

All shopping time of ten shopkeeper:

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.

Since, Shopping time is given as ,

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

And, Intervals for which frequency is given is ,

18 to 22, 23 to 27, 28 to 32, 33 to 37.

Hence, WE get;

Numbers in the range 18 to 22 = 18  therefore 1

Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4

Numbers in the range 28 to 32 = 29, 28  therefore 2

Numbers in the range 33 to 37 = 36, 33, 37,  therefore 3

Hence, the frequency which is to filled are 1, 4, 2 and 4.

Learn more about frequency visit:

brainly.com/question/254161

#SPJ1

Other Questions
What measure would be used to compute the average gender of subjects? a. mean b. mode c. median d. standard deviation 1) The formation of freezing rain involves:A) snow passing through a fairly thick layer of above freezing air before passing through a thin layer of subfreezing temperatures near the surface.B) air temperatures decreasing uniformly with height, producing the cold conditions necessary for freezing rain formation.C) air temperatures increasing uniformly with height, producing the cold conditions necessary for freezing rain formation.D) snow passing through a fairly thin layer of above freezing air before passing through a thick layer of subfreezingtemperatures near the surface. i think it is d but i need help Great Britain taxed the colonies to repay its debt. Why was Great Britain in debt?A. It owed Spain money for building British ships.B. It owed France money because France sent soldiers to help the British control the colonists.C. It had borrowed money to fight the French and Indian War.D .It owed the colonists money for imports of raw materials What is the primary weakness of both mediation andconciliation?a. They are extremely expensiveb. They do not involve litigationc. They do not always lead to an outcomed. They are not adversarial Is affirmative action necessary to promote racial diversity in college admissions?can someone write an essay on this question please!? Which internal control procedure is violated when the cashier at the checkout stand also records the daily receipts in the journal Alessa had 50 in her account. she then received four $-25 charges to her account. what is the new balance of her account? if (2,3) bisects the line segment joining the points (a,6) and (8,b),then what are the values of a and b Find the value of , 02 for which cos=1/2 to create a mutually exclusive relationship between radiomenuitem controls, you must group them in a togglegroup object. 6. Firms Costs 2Consider the following cost information for a pizzeria:QuantityTotal CostVariable Cost(Dozens of pizzas)(Dollars)(Dollars)028001320402350703380100442014054701906530250The pizzeria's fixed cost is.Complete the third column of the following table by calculating the marginal cost per dozen pizzas using the information on total cost. Then complete the final column by calculating the marginal cost per dozen pizzas using the information on variable cost.QuantityTotal CostMarginal CostVariable CostMarginal Cost(Dozens of pizzas)(Dollars)Using Total Cost(Dollars)Using Variable Cost(Dollars)(Dollars)028001320402350703380100442014054701906530250True or False: It doesn't matter whether you compute marginal cost using total cost or variable cost.TrueFalse Are the following two functions inverses of each other? Use function composition to explain your answer. why is it better to have several small thylakoids stacked into one granum than to have one large thylakoid that occupies the same volume? in his investigation of sex differences, erikson observed that, in their play, girls emphasize ________ space, whereas boys emphasize ________ space. To what volume should you dilute 25 mL of a 12.0 M H2SO4 solution to obtain a 0.170 M H2SO4 solution? Express your answer using two significant figures. Point A is at ( -3, -5) and point M is at (-0.5, 0).Point M is the midpoint of point A and point B.What are the coordinates of point B? Identify which of the following are sentence fragments. Be prepared to explain your answer. 1. Explained the binary number system. 2. Only the digits 0 and 1 are used in the binary number system. 3. Although it is not the only number system. 4. Many computer programmers use the binary system. The veyron went from 0-to-60 mph in a time of 2.4 seconds on a test track in germany. what is the magnitude of the car's acceleration? what factors affect the health of a family?