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Semenov [28]
3 years ago
7

A car traveling at a certain speed will travel 76 feet per second. How many miles will the car travel in 3.1 hours if it maintai

ns the same speed? Round to the nearest tenth (tenth in decimals).
Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0
\sf  \frac{76~ feet}{1~second} \times  \frac{1~mile}{5280~feet} \times  \frac{3600~seconds}{1~hour} =  \frac{51.82~miles}{hour}

51.82 miles in one hour, so 51.28 x 3 = <span>155.46 miles in 3 hours.

Your answer is </span><span>155.46 miles in 3 hours.</span>
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Use the identity (x+y)(x−y)=x2−y2 to find the difference of two numbers if the sum of the numbers is 12 and the difference of th
Natalka [10]

Answer:

The difference of two numbers using identity (x+y)(x-y)=x^2-y^2 is 4.

Step-by-step explanation:

Given:  The sum of the numbers is 12 and the difference of the squares of the numbers is 48.

To find the difference of two numbers using identity (x+y)(x-y)=x^2-y^2

Let the two numbers be a and b, then

Given that the sum of the numbers is 12

that is a + b = 12 .........(1)

Also, given the difference of the squares of the numbers is 48.

that is a^2-b^2=48     ..........(2)

Using given identity  (x+y)(x-y)=x^2-y^2

We have (a+b)(a-b)=a^2-b^2

Substitute the known values, we have,

12(a-b)=48

Divide both side 12 , we have,

(a-b)=4

Thus, the difference of two numbers using identity (x+y)(x-y)=x^2-y^2 is 4.

8 0
4 years ago
Read 2 more answers
Let sugar be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 57 + 2.5x?
algol13

Answer: Choice E)

The amount of calories in fruit juice increases by 2.5 for every one gram of sugar. The calorie amount estimated by this model is 57 if there are zero grams of sugar.

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

Explanation:

x = amount of sugar (in grams)

y = number of calories in the juice

ŷ = estimate of y, so its the estimate of calories in the juice

The regression equation rearranges to ŷ = 2.5x + 57

This is in the form y = mx+b where m = 2.5 is the slope and b = 57 is the y intercept.

The slope tells us what the rate of change is. Specifically, it tells us how much the amount of calories (y) is going up each time the amount of sugar (x) goes up. Each time x goes up by 1, y goes up by 2.5

The y intercept 57 is the starting or initial amount of calories. If you have 0 grams of sugar, the lowest amount of sugar possible, then you start off with 57 calories. We can see this by plugging x = 0 into ŷ = 2.5x + 57 (you should get ŷ = 57). Visually, the y intercept is where the line crosses the y axis.

All of these facts point to choice E as the final answer.

6 0
3 years ago
Read 2 more answers
The graph below compares plant height to the age of the plant, in weeks.
Dimas [21]

Answer: 6

Step-by-step explanation:

7 0
3 years ago
Find the area of the trapezoid <br>5,4,9<br> please help
nikdorinn [45]
The answer to your question is 40.5 units.
6 0
4 years ago
Find the value of a and b from the figure​
mote1985 [20]

Answer:

a=40

b=50

Step-by-step explanation:

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