Isaac takes a 216-mile trip from
Boston to New York City. He drives
at a rate of 54 miles per hour. The
equation d = 54t models his
distance, d, over time ,t, in hours. Complete the table of values and identify the independent and variables.

Independent input -Time “0,1,2,3,4”
Dependent output- distance
“0,__,180,__,216”
*Fill in the blank*
WRONG ANSWERS GET REPORTED!!!

Answer:

y = 1/3x + 1

Step-by-step explanation:

Answer:

[tex]12y - 4x = 12) \div 12 \\ y - \frac{1}{3}x = 1 \\ y = \frac{1}{3}x + 1[/tex]

Answer:

3x+5+2y

Step-by-step explanation:

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Answer:

[tex] = > 5 + 3x + 2y[/tex]

Answer: [tex]y = \frac{1}{3}x-2[/tex]

This is the same as writing y = (1/3)x - 2

Slope = 1/3

y intercept = -2

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

Explanation:

We first need to determine the slope

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-3-3}{-3-15}\\\\m = \frac{-6}{-18}\\\\m = \frac{1}{3}\\\\[/tex]

Then we'll use this value of m, along with (x,y) = (15,3), to determine the y intercept b value.

[tex]y = mx+b\\\\3 = (1/3)(15)+b\\\\3 = 5+b\\\\3 - 5 = b\\\\-2 = b\\\\b = -2[/tex]

You could use the other point (-3,-3) as well

[tex]y = mx+b\\\\-3 = (1/3)(-3)+b\\\\-3 = -1+b\\\\-3 +1 = b\\\\-2 = b\\\\b = -2[/tex]

Either way, we end up with the same y intercept. You don't need to show both sets of steps when computing b. You only need to pick one set  of steps.

Since m = 1/3 and b = -2, we go from y = mx+b to y = (1/3)x - 2 which is the same as writing [tex]y = \frac{1}{3}x-2[/tex]

Answer:

y = 7/18 - 11/6

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 4 / -3 - 15

-7/-18

= 7/18

y = 7/18x + b

4 = 7/18(15) + b

4 = 35/6 + b

-11/6 = b

Answer:i don't know

Step-by-step explanation:

Answer:

A.T.Q

Let x number of passed students

x% of 22 = 20

x/100 × 22 = 20

x/100 = 20/22

x = 20/22 × 100

x = 90.91

Step-by-step explanation:

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Answer:

600,000

Step-by-step explanation:

60,000 x 10

Answer:

hello

Step-by-step explanation:

have a great day...

Answer:

30 inches into feet

12 inches = 1 feet

12in = 1ft

24in = 2ft

30 - 24 = 6

The answer is 2 ft and 1/2

or 2 ft and 6 inches

***hope this helps

Step-by-step explanation:

167 is 1 less than 168

1 less = -1 of the given number

Answer:

17/24

Step-by-step explanation:

With the understanding that the three given cars form three mutually exhaustive and disjoint sets i.e., they form the partition of sample space, the probability that the selected car would be white is [tex]\frac{17}{24}[/tex].

A collection of sets B1, B2, . . . , Bn is said to partition the sample space if the sets (i) are mutually disjoint and (ii) have as union the entire sample space.

In this question, we take three sets - set of all red cars, white cars and green cars.

A car can be either red, white or green. Thus they are mutually exclusive.

Also, let the cars in parking lot be the sample space. Every car we pick has to be of one of the three colors. This imply that the three sets of the three cars are mutually exhaustive.

P(selecting a red car) + P (selecting a green car) + P(selecting a white car) = 1

[tex]\frac{1}{8} + \frac{1}{6} + P(selecting\ a\ white\ car) = 1\\\\ P(selecting\ a\ white\ car) = \frac{17}{24}[/tex]

Learn more about partition of a sample space here

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Answer: $10 each

Step-by-step explanation:

130*2

260+1040

=1300

1300/130

=10

Answer:

-443 is the 90th term

Step-by-step explanation:

n=90th

Given: 7-5n

> 7-5(90)

> 7-450

> -443

The equation of the line is x = -7

The points are given as

(-7, -2) and (-7, 8)

See that the x coordinate of both points are the same.

This means that the line equation is a vertical line that passes through x = -7

Hence, the equation of the line is x = -7

Read more about linear equations at:

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Answer:

Perpendicular slope: -3/2

Y-value of the y-intercept:  6

Linear equation of the perpendicular line: y = -3/2x + 6

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes, which means that multiplying the slopes of both lines will result in -1.

Given the linear equation, y = 2/3x - 5/3, and the point, (0, 6):

Let m1 = slope of line 1

     m2 = slope of the other line

Since the slope of y = 2/3x - 5/3 is 2/3, then the other line must have a slope of -3/2 because:

m1 × m2 = -1

[tex](\frac{2}{3}) (-\frac{3}{2}) = -1[/tex]

Therefore, the slope of the other line (m2) = -3/2.

The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The given point has coordinates (0, 6), which means that it is the y-intercept.  Its y-coordinate, (b) = 6.

Therefore, given the slope m = -3/2, and the y-value of the y-intercept, b = 6, then the equation of the perpendicular line is: y = -3/2x + 6.

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Answer:

(9, 6)

Step-by-step explanation:

add equations together: (x + y = 15) + (x - y = 3) --> x + x + y - y = 15 + 3 --> 2x = 18

isolate the variable: 2x/2 = 18/2 --> x = 9, so the x-coordinate is 9

substitute 9 in x's place in one of the equations: 9 + y = 15

solve for y: y = 15 - 9 --> y = 6, so the y-coordinate is 6

combine x and y coordinates together: (9, 6)

Step-by-step explanation:

use y^2=4px

p is the distance from the vertex to the focus, which is 8 units left

y^2=4(-8)x

y^2=-32x

Use y²=4px  where p is the distance from the vertex to the focus,

p = 8 to the left,

so p = -8

Plug that in:

y² = 4(-8)x

Sole / simplify / multiply:

y² = -32x

(information from Arthur D. on wyzant.com)

Answer:

Determine what principal amount Aunt Mildred should have invested so that only your tuition for all four or two years would be covered for your top choice school

Answer:

[tex]9 \frac{ {d}^{2}y }{ {dx}^{2} } - 12 \frac{dy}{dx} + 4y = 0) \div 9 \\ \frac{ {d}^{2}y }{ {dx}^{2} } - \frac{4}{3} \frac{dy}{dx} + \frac{4}{9} y = 0 \\ y_{1}(x) = {e}^{ \frac{2}{3} x} \\ p(x) = - \frac{4}{3} \\ y_{2}(x) = y_{1}(x) \int \frac{ {e}^{ - \int \: p(x)dx} }{ {(y_{1}(x))}^{2} } dx \\ = {e}^{ \frac{2}{3} x} \int \frac{ {e}^{ \int \: \frac{4}{3} dx} }{ { ({e}^{ \frac{2}{3} x})}^{2} } dx \\= {e}^{ \frac{2}{3} x} \int \frac{ {e}^{ \frac{4}{3} x} }{ { {e}^{ \frac{4}{3} x}}} dx \\ = {e}^{ \frac{2}{3} x} \int dx \\ \boxed{y_{2}(x) =x{e}^{ \frac{2}{3} x}}[/tex]

Answer:

Step-by-step explanation:

10+18+25+27+35+50=165

n=6

mean =165/6=27.5

x   x- mean    (x-mean)²

10     -17.5          306.25

18      -9.5            90.25

25     -2.5              6.25

27     -0.5              0.25

35      7.5            56.25

50   22.5          506.25

      _____      ________

sum     0             965.5

       _____     _________

standard deviation

[tex]=\sqrt{\frac{sum}{n-1} } \\=\sqrt{\frac{965.5}{5} } \\=\sqrt{193.1} \\\approx 13.896[/tex]

Answer:

1) v= -3, -5

2) n= 3, -1

3) i don't see a solution so- no solution

4) m= -11/5, 5 or -2 1/2, 5

5) k= 13, 8

6) b= 3.53867

7) ????

8) ????

9) n= -4, -6

10) m= 1.78233

11) x= 2/3, -1

12) x= 1, 0.2(1/5)

13) a= -1/3, 4/3

14) b= -3/7, -8

15) b= 2, -3

16) x= 4, -2

im way too lazy to put in my work. sorry.

Answer:B

Step-by-step explanation: if they have listened to something different than they actually like then you will get a different answer than their fav song

Answer:

A

Step-by-step explanation:

Look at the line and wherever the line meets with the miles then find the miles and that's your answer.

If you want to make sure, do "50(mph) * 2(hours)" and it should land on "100"

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The given equation is :

here, 5x is on both sides, so they cancel out. hence value of x can't be determined.

so, the equation have no solution.

correct choice is B.) no solution

5x -2 = -2 + 5x

Add 2 to both sides to get 5x = 5x

Because this is true then any value of x will still make the equation true.

This means there are infinite solutions.

Answer: a) infinite solution

Step-by-step explanation:

option A is correct

as, point S lies on = -7, 4

and point T lies on = 5, 4

so, diameter is 12 so radius = diameter/2 = 12/2 = 6

and center is - 1 , 4 as the diameter lies on 4 in y axis

hope this answer helps you dear...take care and may u have a great day ahead...also may ur exam/test/assignment goes well!.

Step-by-step explanation:

defined by 0 ifr> Let e > 0. Prove that there exists a partition, P. of (0,1) with ... - did not match any documents.

Suggestions:

Answer:

recipe 1 and recipe 2 will taste the same while recipe 3 will taste different

Step-by-step explanation:

Let's look at the Mix ratio

for recipe 1 the mix ratio is 2:3

recipe 2 ratio is 2:3

and recipe 3 ratio is 3:4

First, you do

42 divided by 12

42/12

That will equal = 3.5

So the correct answer is the first one

$3.50 per carton