My car gets 34 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function of the number of gallons of gas in the tank?

Answers

Answer 1

Answer: Yes,

Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.


Related Questions

What interval notation represents the data graphed below?
A. [-∞, -2) U [4, ∞]
B. [-∞, -2] U (4, ∞]
C. (-∞, -2] U (4, ∞]
D. (-∞, -2) U [4, ∞)

Answers

Answer: Choice D

[tex](-\infty, -2) \cup [4, \infty)[/tex]

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

Explanation:

The left portion is the interval (-∞, -2)

This is a shorthand way of saying [tex]-\infty < x < -2[/tex]

The curved parenthesis says "do not include this endpoint as part of the solution set". Note the open hole at x = -2 in the diagram.

In contrast, the value x = 4 is included (due to the filled in circle), so we use a square bracket for this endpoint. Therefore, the right-hand portion is represented by [4, ∞) which translates to [tex]4 \le x < \infty[/tex]

Negative and positive infinity will always use a parenthesis, and never a square bracket. This is because we can only approach infinity but never reach it, so we cannot include it as an endpoint.

All of this builds up to the full interval notation to be [tex](-\infty, -2) \cup [4, \infty)[/tex]

The only square bracket is near the 4; everything else is a curved parenthesis. This is why choice D is the final answer.

III
4.09 Unit Test: Lines - Part 1
What is an equation in point-slope form for the line that passes through the points (4, -1) and (-3,4)?
A.y+4= -(0+3)
B.y-3= -(x+4)
C.y+4= (x+3)
D.y-4= -(x+3)
Quick please

Answers

Answer:

D.y-4=-5/7(X=3)

Hope this helps!!!

///////////////////////////////////////////////////////////////////////////////////////////////////////////////

Please I really need help on this one

Answers

radius: 2.5 centimeters

Answer:

r=

[tex]r = \frac{d}{2} \\ r = \frac{5}{2} \\ r = 2.5cm[/tex]

How do the values compare? Order the values from least to greatest. 1/2 , 2 , 2 1/2 , -1/2 , 1 1/2 , 2 1/2​

Answers

Answer:

First always the positive is greater than the negative

Then 1/2, 2, 21/2, 2, 11/2 are greater than - 1/2

1/2=0.5

21/2=10.5

11/2=5.5

Then from lowest to greatest

-1/2,1/2,2,11/2,21/2

I hope you understand

28) Solve the inequality: 12x−10>170
A. x>15
B. x<−90
C. x<−58
D. x<15

Answers

Answer:

p=5x+3y

solve for x, number of cupcakes. isolate x

5x=p-3y

divide by 5

x=(p-3y)/5

Step-by-step explanation:

D. x<15

PLEASEHELP!


ANSWER CHOICES:
A)189
B)329
C)161
D)84

Answers

Answer:

329

Step-by-step explanation:

HELP WILL GIVE BRAINLIEST ANSWER PLUS 50 POINTS!

Find the point below that lies on the line y- 5 = 7(x-6).
O A. (4,-3)
B. (3,-1)
C. (6,5)
O D. (5,6)
O E. (1,-5)

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

the answer is c sorry

Step-by-step explanation:

What is the value of the expression ?

Answers

[tex]16 - 3(8 - 3) {}^{2} \div 5[/tex]ANSWER

[tex]1[/tex]EXPLANATION

[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]

[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]

[tex]16 - 3 \times 5 {}^{1} [/tex]

[tex]16 - 3 \times 5[/tex]

[tex]16 - 15[/tex]

[tex]1[/tex]

HopeItHelps you

#CarryOnLearning

Solve for x.
ASAP, please help me

Answers

Answer:

8

Step-by-step explanation:

180=90+40+6x+2

180=132+6x

48=6x

x=8

Answer:

x=4 i think havent done this in a long time

Step-by-step explanation:

Convert -3 2/7 into an improper fraction.​

Answers

Answer: -23/7

Step-by-step explanation:

- 23/7 is the answer!

Write the correct name for each of the following polygons.

Answers

Answer:

a. Pentagon (The figure has 5 sides.)

b. Triangle (The figure has 3 sides.)

c. Hexagon (The figure has 6 sides.)

d. Hexagon (The figure has 6 sides.)

Step-by-step explanation:

PH

help ....................................................

Answers

Answer:

i think it's the subtraction one

Step-by-step explanation:

because if you find out what b is maybe you will get 2 1/2

DeAndre bench pressed 300 pounds yesterday. Today, he was weak sauce and could only bench press 175 pounds. By what percent did the weights decrease? *
10 points

Answers

Answer:

75%

Step-by-step explanation:

write the standard number 723,600 in scientifict notation

Answers

Answer:

723,600 = 7.236 × [tex]10^{5}[/tex]

Step-by-step explanation:

Scientific notation is a way to express numbers in a form that makes numbers that are too small or too large more convenient to write. It is commonly used in mathematics, engineering, and science, as it can help simplify arithmetic operations.

6 cans of soup cost $12. Fill in the correct number over or under each hash mark. How much does one can of soup cost ?

Answers

Answer:

12 / 6 = $2

Step-by-step explanation:

Answer:

they each cost 2 dollors

Step-by-step explanation:

Identify the slope and y- intercept y=2x + 2

Answers

Answer:

Slope:2

Y-int:2

Step-by-step explanation:

y=m(slope)x+b(y-int)

Answer:

Slope is 2, Y-intercept is 2

Step-by-step explanation:

Point-slope form is y=mx+b

m=slope

b=y-intercept

Hope this helped.

A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The State University wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools.
a) They select a random sample of 500 applications, and find that 46 of those students attend private schools. Check the conditions required for inference. (3 marks)
b) Create the 90% confidence interval. (6 marks)
c) Interpret the confidence interval in the context of the problem. (3 marks)
d) Should the admissions officers conclude that the percentage of private school students in their applicant pool is lower than the statewide enrollment rate of 12%? Explain. (2 marks)

Answers

Answer:

a)  p*n =  46     and  q*n  =  454 data is enough for inference

b) CI =  (   0,099 ;  0,141)

c) CI we will find with 90% of confidence the value of p in that interval

d) No, we accept H₀  we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education

Step-by-step explanation:

Information from A state´s Department of Education is:

p₀  =  12 %    p₀ = 0,12

The State University sample:

Sample size   n  = 500

Sample proportion   46   out of 500      

p  =  46/500     p =  0,092     then    q =  1- p   q  =  1 - 0,092    q = 0,908

Both    p*n =  46     and  q*n  =  454

a) Are big enough to approximate the binomial distribution to normal distribution

b) CI = 90%   CI = 0,9     significance level  α = 0,10  for an CI we need

α/2   =  0,10/2      α/2 = 0,05

z(c)  =  - 1,64     ( from  z-table)

MOE  =  z(c)*√(p*q)/n

MOE  =   1,64 * √ ( 0,092*0,908)/500

MOE  =  1,64 *√0,08353/500

MOE  =  1,64 * 0,0129

MOE  = 0,021

Then  CI = 90 % is:

CI  =  (  0,12 -  0,021   <  P  <  0,12 + 0,021 )

CI =  (   0,099 ;  0,141)

We have with 90 % of confidence for finding the value of p in the interval

Test Hypothesis

Null Hypothesis                        H₀             p  =  p₀

Alternative Hypothesis            Hₐ             p < p₀

we have  for  α = 0,1     z(c)  =  - 2,32  from z table

And  z(s)  = ( p  -  p₀  ) /  √ (p*q)/n

z(s)  = ( 0,092 - 0,12 ) / √(0,092*0,908)/500

z(s)  =  - 0,028 / 0,0129

z(s)  =  - 2,17

Comparing  z(s)  and  z(c)  we see that

|z(s)| < |z(c)|

So  z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education

2x + 8=12 what is the value of 4x + 2

Answers

Answer:

2x + 8 = 12

x = 2

4x = 2 = 10

Step-by-step explanation:

Look in the document

Answers

the document won’t load sorry :( maybe try uploading it again?

can u pls help me with this question asap ​

Answers

Answer:

$14670

Step-by-step explanation:

Selling price of the house = $326000

Commission rate of the agency = 4.5%

Commission amount earned by the agency = 326000 × 0.045

                                                                        = $14670

Commission rate of the agent = 20% of commission earned by the agency

= [tex]\frac{20}{100}\times 14670[/tex]

= $2934

Therefore, agency made $14670 on the house.

write the equation of the line for the following table of values.


x. -3 -5 -7 -9 -11


y. -16 -26 -36 -46 -56


Plz helppp 35 points:)​

Answers

Answer:

We conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

(-3, -16)(-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]

[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]

[tex]m=5[/tex]

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

[tex]y = mx+b[/tex]

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 5x + 1[/tex]

Therefore, we conclude that the equation of the line is:

[tex]y = 5x + 1[/tex]

which is an equation for the line shown?
y=3
x=3
y=-3
x=-3

Answers

Answer:

x+-3

Step-by-step explanation:

4x< 20; x = 20

can you show me the work?

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

4x<20  Equation/Question

Step 2

4x<20  Simplify

4x<20

Step 3

4x<20  Divide by 4

answer

x<5

A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion of those who make a donation when contacted by phone is known to be p=0.05. For samples of size 100, which of the following best interprets the mean of the sampling distribution of the sample proportion of people who make a donation when contacted by phone?

a. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.05.
b. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.07.
c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
d. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.07.
e. The probability that the mean of the sampling distribution of sample proportions is greater than 0.07 is 0.05.

Answers

Answer: c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.

Step-by-step explanation:

Mean of the sampling distribution of the sample proportion = p (Population proportion.)

Here, the population proportion of those who make a donation when contacted by phone is known to be p=0.05.

Then, Mean = p = 0.05

Hence, the correct option is

c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.

This question is based on the concept of statistics. Hence, the correct option is  (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.

Given:

A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion p=0.05. For samples of size 100.

According to the question,

Mean of  sampling distribution of the sample proportion = p (Population proportion.)

It is given that, the population proportion of those who make donation when contacted by phone is known to be p=0.05.

Thus, Mean = p = 0.05

Hence, the correct option is  (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.

For more details, prefer this link:

https://brainly.com/question/10211620

Dont have to graph it, just tell me the answers, I kinda need this now :v

Answers

Answer:

3/4(n)+1

3/4(8)+1=

6+1=7

3/4(12)+1=

9+1=10

3/4(14)+1=

10.5+1=11.5

3/4(20)+1=

15+1=16

I hope this helps:

Triangle ABC is shown below. Which point is the coordinate of the image of

Answers

Step-by-step explanation:

there is no image how am I supposed to solve it

Answer:

The answer is C.

Step-by-step explanation:

Hope this helps :)

A cash register contains $10 bills and $50 bills with a total value of $1080. If there are 28 bills total, then how many of each does the register contain?

Answers

Answer:

20 $50 bills

8 $10 bills

Step-by-step explanation:

Find how many $10 and $50 bills are in the cash register.

Make a systems of equations:

t = Amount of $10 bills

f = Amount of $50 bills

10t + 50f = 1080

t + f = 28

Lets solve for $50 bills first:

10t + 50f = 1080

-10(t + f = 28) = -10t - 10f = -280

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

Solve for f:

10t + 50f = 1080

-10t - 10f = -280

40f = 800

Divide both sides by 40.

f = 20

There are 20 $50 bills.

Now we need to find how many $10 bills are in the register.

Plug in 20 to "f" in one of the equations and solve for "t".

Solve:

t + 20 = 28

Subtract 20 from both sides.

t = 8

There are 8 $10 bills.

Your answer should be:

20 $50 bills

8 $10 bills

Allen traveled 6 kilometers in 2 hours How many hours does it take Alan to travel 1 kilometer?

Answers

Answer:

1/3

Step-by-step explanation:

6x=2

x= 1/3

Answer:

1 kilo takes 20 minutes

Step-by-step explanation:

6kilo in 2hrs

3kilo in 1 hr

1hr = 60min

3kilo/3 = 1 kilo

60min/ 3 = 20 min

1 kilo * 6 = 6kilo

20min * 6 = 120min ( 2 hours )

an industry representative claim that 60% of all satellite owners subscribers movie channel. suppose that representative’s claim is true and also suppose that 20 dish owners are randomly selected. find the probability that: (i) none of the dish owners subscribes movie channel (ii) exactly 3 dish owners subscribe movie channel (iii) more than 17 dish owners subscribe movie channel.

Answers

Answer:

1.099 * 10^-8 ; 4.23 * 10^-5 ; 0.0036

Step-by-step explanation:

Given :

p = 0.6

Sample size, n = 20

P(x = 0)

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

1 - p = 1 - 0.6 = 0.4

P(x = 0) = 20C0 * 0.6^0 * 0.4^20

P(x = 0) = 1 * 1 * 1.099511627776E−8

P(x = 0) = 1.099 * 10^-8

2) Exactly 3;

P(x = 3) = 20C3 * 0.6^3 * 0.4^17

P(x = 3) = 1140 * 0.216 * 0.00000017179869184

P(x = 3) = 0.0000423037098786816

P(x = 3) = 4.23 * 10^-5

3.) More than 17

P(x > 17) = P(x = 18) + P(x = 19) + P(x = 20)

Using calculator :

P(x > 17) = 0.0036

Angles in a triangle

Answers

Answer

1=62

2=45

3=24

Angle 1

1 plus 118 equals 180 degrees (because both of the angles combined creates a straight angle).

1+118=180

180-118=1

1=62

Angle 2

The angles in a triangle add up to 180 degrees.

You know that angle 1 is 62 degrees.

And the other angle is 73 degrees.

You can now find angle 2.

62+73+2=180

2=180-62-73

2=45

Angle 3

Angle three is in a different triangle.

You already know that the angles in a triangle added up are 180 degrees.

The other missing angle in the triangle can be found by subtracting 73 from 180.

180-73=107

Now you know that two of the angles in the triangle are 107 and 49.

You can now find angle 3.

107+49+3=180

3=180-107-49

3=24

you should give the person above a brainliest!! :)
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