A car gets 32 miles per gallon . The function is d(x) = 32x represents the distance d(x) , in miles , that the car can’t travel with x gallons of gasoline. The tank holds 17 gallons.

Answers

Answer 1

Answer:

[tex]Domain: [0,17][/tex]

[tex]Range:[0,544][/tex]

Step-by-step explanation:

Given

[tex]d(x) = 32x[/tex]

Maximum gallon = 17

Required

Determine the domain and range --- This completes the question

If the maximum is 17 (i.e. at full capacity) then the minimum is 0 (i.e. when empty)

So, the domain is:

[tex]Domain: [0,17][/tex]

To calculate the range, substitute 0 and 17 for x in [tex]d(x) = 32x[/tex]

[tex]d(0) = 32 * 0 = 0[/tex]

[tex]d(17) = 32 * 17 = 544[/tex]

So, the range is:

[tex]Range:[0,544][/tex]


Related Questions

433.54 in terms of pi​

Answers

Answer:

138.0700636942675[tex]\pi[/tex]

Step-by-step explanation:

7.5667004391


Is the answer


433.54 x π/180.

suppose a binomial trial has a probability of success of 0.2 and 500 trials are performance what is the standard deviation of the possible outcomes round your answer to two decimal places

Answers

The standard deviation of the possible outcomes of the binomial trial, given the success rate and the number of trials is 10.

How to find the standard deviation ?

The standard deviation measures the spread or dispersion of the possible outcomes around the mean and a higher standard deviation means that the possible outcomes are more spread out, while a lower standard deviation means that the possible outcomes are more closely clustered around the mean.

To find the standard deviation of this binomial distribution, first find the variance by the formula:
= Number of trials x probability of success x ( 1 - probability of success )

= ( 500 x 0. 2 x ( 1 - 0. 2))

= 100

Then, the standard deviation would be:

= √(Variance )

= √(100)

= 10

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65% humans body volume is made of water. How meny kilograms water is in humans body whos weight is 100kg?

Answers

Answer:

65kg.

Step-by-step explanation:

65 divided by 100 is 0.65, and then you change the 0.65 to 65kg. It's that easy!

Amanda covers the outside of a box, shown in the diagram below, with
decorative paper for a school project. The top of the box is open.
3 in
7 in.
8 in
If the paper costs $0.03 per square inch, what is Amanda's total cost?

Answers:
4.38
6.06
5.04
2.70

Answers

the answer is i think 2.70

Simplify and write answer in standard form.

Answers

Step-by-step explanation:

2x^3 - 10x^2 + 8x -3

hope this helps

Help pls! I don't really know if there should be a < or no!

Answers

Answer:

yes

Step-by-step explanation:

helppp with my geometry PLSS HELP

Answers

Answer:

15) 30°

16) 49.46°

Step-by-step explanation:

15) sin ? = 12/24

sin ? = 0.5

? = 30°

16) cos ? = 13/20

cos ? = 0.65

? = 49.46°

PLEASEEEEE HELPPPPPPPP

Answers

Answer:

2 and 4 has no soulotions, and C has one

Step-by-step explanation:

help me dont put link when answering question

Answers

Answer:

b

Step-by-step explanation:

Solve the following problem then write your answer before the number.
1.)Rizza started cycling at 7:15 a.m. By 7:35 a.m,she had covered a distance of 9km.Find his average speed in km/h.
2.)A car left Barretto at 10:50 a.m and reached Pampanga at 2:20 p.m.its average speed was 84 km/h.Find the distance between Barretto and Pampanga.
3.)Aaron travalled 210 km at a uniform speed of 60 km/h.How long was his travel?​

Answers

Answer:

1) Rizza's average speed is 27 km/h.

2) The distance between Barretto and Pampanga is 294 km.

3) Aaron's journey was 3.5 hours long.

Step-by-step explanation:

1) Time taken to cove the distance = 20 minutes

60 minutes = 1 hour

So that, 20 minutes = [tex]\frac{20}{60}[/tex] hours

                                 = [tex]\frac{1}{3}[/tex] hours

Distance covered = 9 km

But,

speed = [tex]\frac{distance covered}{time taken}[/tex]

Rizza's average speed = 9 ÷ [tex]\frac{1}{3}[/tex]

                                       = 9 x 3

                                       = 27 km/h

Rizza's average speed is 27 km/h.

2) Time taken = 3.5 h

the car's average speed = 84 km/h

Distance between Barretto and Pampanga = average speed x time taken

                                           = 84 km/h x 3.5 h

                                           = 294 km

The distance between Baretto and Pampanga is 294 km.

3) The uniform speed implies that Aaron did not accelerate during his journey.

Distance covered = 210 km

uniform speed = 60 km/h

time taken = [tex]\frac{distance covered}{speed}[/tex]

                   = [tex]\frac{210}{60}[/tex]

                   = 3.5 hours

Aaron's journey was 3.5 hours long.

Convert 16/100 to decimal.

Answers

Answer: 0.16

Step-by-step explanation:

i dont know

How do u convert kilometres into minutes
Example 0.8kilometer what till ut b in minutes woukd u times by 70

Answers

Answer:

It is not possible

Step-by-step explanation:

Given

0.8km

Required

Convert to minutes

In conversion, only units of the same metric can be converted.

i.e.

You can convert meters to miles (they both measure distance)

You can convert seconds to hours (they both measure time)

You can convert kilogram to pounds (they both measure weight)

But in the given question, you attempt to convert from distance to time.

This is not possible, because time and distance are different measurements

If you live in Portland, you live in Oregon. Cara does not live in Oregon. Therefore, Cara does not live in Portland.


a.) Overlapping Sets
b.) Subsets
c.) Disjoint Sets

Please somebody help me

Answers

People who live in Portland is a subset of people who live in Oregon

Can someone please help me?

Answers

Answer:

Take a ruler and measure the distance between Kalamazoo and Ann Arbor, in centimetres, or inches.

Step-by-step explanation:

I cannot tell you the ACTUAL measurement because you only posted a picture.

A tree in Tom's backyard grows 0.6 meters each month. If the tree is 2.82 meters tall, for how many months has the tree been growing?

Answers

Answer:

4.7months

Step-by-step explanation:

2.82÷0.6 = 4.7

A salesperson earns a commission of $322 for selling $2300 in merchandise.
Find the commission rate. Write your answer as a percentage.

Answers

The commission rate for the given amount will be 14%.

What is the percentage?

According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.

To find the commission rate, we need to divide the commission earned by the amount of merchandise sold, and then express the result as a percentage.

The commission rate is given by:

Commission rate = (commission earned / amount of merchandise sold) x 100%

Substituting the given values, we get:

Commission rate = (322 / 2300) x 100%

Commission rate ≈ 0.14 x 100%

Commission rate ≈ 14%

Therefore, the commission rate is 14%.

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What is the maximum value and at what point

Answers

9514 1404 393

Answer:

maximum z: 43point: (x, y) = (25/7, 9)

Step-by-step explanation:

In the attached, we have graphed the inequalities and the objective function line. As we might surmise by looking at the constraints,* the maximum occurs at the intersection of y=9 and 7x-y = 16, where (x, y) = (25/7, 9).

The maximum value of z is 7(25/7) +2(9) = 25 +18 = 43.

__

The graph shows all inequalities reversed. This has the effect of making the solution space white, rather than buried under 4 levels of shading. As we expect with most "maximize" problems, the feasible region vertex farthest from the origin is the one of interest.

_____

* The only upper bound on y is y ≤ 9. The only upper bound on x is 7x-y≤16. When we're maximizing some objective function with positive coefficients on the variables, these will be the boundaries of interest.

i neeed help and quick its due at 3:15

Answers

Answer:

it c

Step-by-step explanation:

Which quantity is unknown

Answers

Answer:

The price of each book without sales tax

Step-by-step explanation:

4b + 8c + 12 – 8b – 2c + 6.

Answers

The answer to the question is -4b+6c+18

Need help with linear function

Answers

Answer:

y = 1/2x + 2

Step-by-step explanation:

The correct choice is the first one

a. find the area

b. find the perimeter​

Answers

Answer:

Area= 4y^2 + 14y + 12

Perimeter = 10y + 16

Step-by-step explanation:

Area of a reactangle = length × width

= (4y+6) × (y+2)

= 4y^2 + 6y + 8y + 12

= 4y^2 + 14y + 12

Perimeter of a rectangle = 2 × (a +b)

= 2 × ( 4y + 6 + y+ 2)

= 2 × ( 5y + 8)

= 10y + 16

x2 - 3|x - 2| - 4x = - 6
Solve for x

Answers

Answer:

if that is x^2 -3|x-2|-4x=-6, then this should be the answer other wise it would be a biiiit diffrent

Step-by-step explanation:

A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest hundredth. Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

44

4. Dominick sent the following number of text messages each day over the last week:
SUN
MON
TUES
WED
THURS
FRI
SAT
64
58
63
51
60
61
70
What is the mean absolute deviation?
Explain what the mean absolute deviation represents in the situation:

Answers

add all of the numbers and divide by the amount of numbers added

expand and simplify 2(3a-5b)+4(a+2b)

Answers

Answer:

[tex]10a - 2b[/tex]

That is the answer

The answer is 10a-2b

1: One shelf is 65cm long. Another shelf is 78cm long. What
is their total length in metres?

Answers

Answer:

1.43 Metres

Step-by-step explanation:

Since 1 Metre is equal to 100 centimetres, and 65 + 78 is 143 centimetres, to convert it to METRES we need to divide 143 by a hundred, making the output become 1.43 METRES.

The sum of the lengths of the shelves are 143 cm.

What are some alternative names for arithmetic operations?

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, One shelf is 65cm long. Another shelf is 78cm long.

Therefore, The sum of the lengths of the two trucks would be the sum of the individual lengths of the shelf which is,

= (65 + 78) cm.

= 143 cm.

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Amare is building a rectangular fence. Originally, he plans to build an 18 ft by 14 ft fence but later decides to increase each dimension by x feet.

Which equation represents the new perimeter of the fence?


P = (18 + x ) + (14 + x )

P = (18 + 2x ) + (14 + 2x )


P = 2(18 + x ) + 2(14 + x )


P = 2(18 + 2x ) + 2(14 + 2x )

Answers

Answer:

P = 2(18 + x ) + 2(14 + x )

Step-by-step explanation:

Given,

Dimensions of the fence = 18 ft and 14 ft

Then x ft is increased in both dimensions ,

New dimensions of the fence = (18 + x)ft and (14 + x)ft

Therefore,

Perimeter of the fence = 2 ( l + b)

= 2 l + 2 b

= 2(18 + x) + 2(14 + x) (Ans)

Hence,

Option C is correct.

Your family is driving to the beach. You travel 200 kilometers in the first two hours. During the next hour, you stop for lunch and only travel 25 kilometers. What was tour average speed?

A) 60 km/h
B)75 km/h
C)100km/h
D)225 km/h

Answers

Answer: B) 75 km/h (from this answer my brother told and he good at math so I hope this is Correct.)

HELP ASAPP! WILL GIVE MOST BRAINILIST

Answers

Answer:

the probability is 6/7

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