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3 years ago

What is the volume of a microwave oven that is 18 inches wide by 10 inches long with a depth of 11 1/2 inches?

Mathematics

1 answer:

ivann1987 [24]3 years ago

7 0

Answer:

2070 inches

Step-by-step explanation:

V = W x L x D

= 18 x 10 x 11.5 = 2070 inches

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What is the remainder when x^3 – 1 is divided by (x + 2)?

arlik [135]

We can just use the remainder theorem here.

Plug the value of -2 into each x variable.

(-2)^3 - 1

-9

<h3>The remainder is -9.</h3>

6 0

2 years ago

A truck was carrying a load of 458 pounds of gravel. Another 231 pounds of gravel was loaded onto the truck.

Mila [183]

Answer:

A. Olivia is correct.

Step-by-step explanation:

If the total amount of gravel stated is 689 pounds and you want to check your answer, you can subtract one of the two trucks from the total. Which would be either 689 - 231 or 689 - 458. Therefore, A is the correct answer.

6 0

3 years ago

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?

olga2289 [7]

Step $1$

<u>Find the slope of the given line</u>

Let

$A(-3,2)\ B(2,-1)$

slope mAB is equal to

$mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}$

Step $2$

<u>Find the slope of the line that is perpendicular to the given line</u>

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to $-1$

$mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}$

Step $3$

<u>Find the equation of the line with mCD and the point (3,0)</u>

we know that

the equation of the line in the form point-slope is equal to

$y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5$

Multiply by $3$ both sides

$3y=5x-15$

$5x-3y=15$

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation $5x-3y=15$

4 0

3 years ago

Read 2 more answers

Jill is going to multiply a whole number greater than zero by 5. The last digit in the product will either be 0 or what other nu

IRINA_888 [86]

Every number times 5 the last digital number will be 5 or 0

8 0

3 years ago

A population of rabbits in a lab, p(x), can be modeled by the function p(x) = 20(1.014)x , where x represents the number of days

Nitella [24]

Answer:

20 = initial population of the rabbits

1.014 = growth rate of the rabbits

the average rate of change from day 50 to day 100 is 0.8

Step-by-step explanation:

A population of rabbits in a lab, p(x), can be modeled by the function

p(x) = 20(1.014)^x

This model is exponential. Where 20 = initial population of the rabbits

1.014 = growth rate of the rabbits with 1.4% increase rate of the rabbits

To find the average rate of change from day 50 to day 100,

find the population p(50) and p(100). Subtract them and divide by 100 - 50 = 50.

p(50) = 20(1.014)50 = 40.08...

p(100) = 20(1.014)100 = 80.32...

(80.32 - 40.08) / (100 - 50) = 40.24/50 = 0.8048. which is approximately 0.8 to the nearest tenth.

The rate of change is 0.8.

7 0

3 years ago