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garik1379 [7]
3 years ago
8

A car travels 81 miles in 3 hours. If it continues traveling at the same rate, how many miles would it travel in 5 hours?

Mathematics
1 answer:
wel3 years ago
8 0
The car would travel 135 miles bc you multiply 81×5 and get 405 ,then divide that answer by 3
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Write in slope-intercept form an equation of the line that passes through the points (−1,12) and (1,2).
zzz [600]

Answer:

y=-5x+7

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

the points (−1,12) and (1,2)

substitute

m=\frac{2-12}{1+1}

m=\frac{-10}{2}

m=-5

step 2

we know that

The equation of the line in slope intercept form is equl to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=-5

point\ (1,2)

substitute in the linear equation and solve for b

2=-5(1)+b

b=2+5=7

therefore

y=-5x+7

4 0
3 years ago
The water diet requires you to drink two cups of water every half hour from the time you get up until you go to bed, but otherwi
Elan Coil [88]

Answer:

7-3.182 \frac{13.638}{\sqrt{4}}= -14.698

7+3.182 \frac{13.638}{\sqrt{4}}= 28.698

Step-by-step explanation:

For this case we have the following info given:

Weight before diet 180 125 240 150  

Weight after diet 170 130 215 152

We define the random variable D = before-after and we can calculate the inidividual values:

D: 10, -5, 25, -2

And we can calculate the mean with this formula:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

And the deviation with:

s= \sqrt{\frac{\sum_{i=1}^n (X_i- \bar X)^2}{n-1}}

And after replace we got:

\bar D= 7, s_d = 13.638

And the confidence interval for this case would be given by:

\bar D \pm t_{\alpha/2} \frac{s_d}{\sqrt{n}}

The degrees of freedom are given by:

df = n-1= 4-1=3

For the 95% of confidence the value for the significance is \alpha=0.05 and the critical value would be t_{\alpha/2}= 3.182. And replacing we got:

7-3.182 \frac{13.638}{\sqrt{4}}= -14.698

7+3.182 \frac{13.638}{\sqrt{4}}= 28.698

6 0
3 years ago
What was done wrong ?
atroni [7]
You didn't write the (-2/7) as a power; you were supposed to do b to the power of -2 over 7, which is what the other person done in your other post regarding this
4 0
3 years ago
Find the value Of x ? help please asap
Vinvika [58]

Answer:

x= 85°

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the total surface area of the solid?
Umnica [9.8K]
We’re going to use the formula for area of a rectangle, which is length x width. We are also going to use the formula for area of a triangle which is 1/2 x base x height.

Let’s start with the rectangle under the triangle ends of the roof. They are 11mm wide, 10mm high, and there are two of them.

11 x 10 x 2 = 220

Then the other sides that are 16 x 10. There are 2 of them.
16 x 10 x 2 = 320

Then the rectangular pieces of roof, 9.7 x 16, and there are 2 of them.

9.7 x 16 x 2 = 310.4

Lastly, the triangle pieces of roof. (1/2)(base)(height), but there are 2 of them
1/2 x 11 x 8 x 2 = 88

Add up all the parts:
220 + 320 + 310.4 + 88 = 938.4 mm
6 0
2 years ago
Read 2 more answers
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