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2 years ago

. You are mailing a gift box that is 18 inches by 8 inches by 12 inches. You

Mathematics

1 answer:

vekshin12 years ago

4 0

Cubic inches of first box = 18 x 8 x 12 = 1,728 cubic inches

Cubic inches of larger box = 20 x 12 x 15 = 3,600 cubic inches.

Cubic inches for packing foam = 3600 - 1728 = 1,872 cubic inches

Answer: 1,872 cubic inches

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Given that the average rate of change for y = f(x) over the interval [0,3] is −1, the average rate of change over the interval [

Svet_ta [14]

Answer:

Answer is 2

Step-by-step explanation:

We know that average rate of change of a function f(x) in the interval (a,b) is

$\frac{1}{b-a} \int\limits^a_b {f(x)} \, dx$

Using this we can say that

$\int\limits^0_3 {f(x)} \, dx =-1(3)=-3\\\int\limits^2_3 {f(x)} \, dx =5(1)=5\\\\\int\limits^2_6 {f(x)} \, dx =4(5)=20\\$

Using properties of integration we have

3 to 6 integral = 20-5 =15

0 to2 integral = -3=5 =-8

Thus integral form 0 to 6 would be = -8+15+5 = 12

Average rate of change form 0 to 6 = $\frac{12}{6} =2$

Answer is 2

7 0

3 years ago

iren2701 [21]

Answer:

The distance between points A and B is 13

Step-by-step explanation:

We need to find distance between points A and B

Looking at the graph,

Point A : (2,6) and Point B: (-3,-6)

We need to find the distance between these points.

The formula used is: $Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$

We have Points A : (2,6) and B: (-3,-6)

So, $x_1=2, y_1=6, x_2=-3, y_2=-6$

Putting values in formula and finding distance

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\Distance=\sqrt{(-3-2)^2+(-6-6)^2} \\Distance=\sqrt{(-5)^2+(-12)^2} \\Distance=\sqrt{25+144} \\Distance =\sqrt{169}\\Distance = 13$

So, the distance between points A and B is 13

6 0

3 years ago

A line with a slope of -7 passes through the points (u,0) and (8,-7) what is the value of u?

laila [671]

Answer:

u = 7

Step-by-step explanation:

Using the slope intercept formula:

$\frac{y2 - y1}{x2 - x1} = slope$

Substitute our values from the points and the known slope:

$\frac{-7 - 0}{8 - u} = -7$

Now we multiply both sides by (8 - u) to isolate the x:

(8-u) x $\frac{-7}{8 - u}$ = -7 (8 - u)

Next we add 56 to both sides:

-7 = -56 + 7u

Finish off by dividing both sides by 7:

7u = 49

u = 7

6 0

3 years ago

Sorry i ment to put 14/15 - 1/3 then put as a fraction in simplest form

Sergio039 [100]

Answer:

Step-by-step explanation:

14/15 - 1/3

= 6/10

In simplest form

= 3/5

7 0

2 years ago

Select all the rates equivalent to the rate 3/4 cup per pound

Artemon [7]

Answer:

Step-by-step explanation:

Multiply the decimal by 100 and write the result with the percentage sign: 0.75 × 100 = 75%.

3 0

2 years ago