All categories

3 years ago

Volume of a rectangular prism with measurements of 17 feet by 5 feet by 8 feet

Mathematics

2 answers:

Nataly [62]3 years ago

8 0

Answer:

V=680

Step-by-step explanation:

Akimi4 [234]3 years ago

3 0

Answer:

680 feet^3

Step-by-step explanation:

The formula for the volume of a rectangular prism is <em>lwh </em>(length x width x height)

suppose 17 is length, 5 is width, and 8 is height

Now, we need to evaluate:

17 x 5 x 8 =

85 x 8 =

680 feet^3

You might be interested in

What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

7 0

4 years ago

A cylinder and a cone are shown below.

Veronika [31]

Answer:

36 in³

Step-by-step explanation:

Volume of cylinder = pi×r²×h

Volume of cone = ⅓×pi×r²×h

For same r and h,

Volume of cone is ⅓ of the Volume of cylinder

⅓ × 108 = 36

3 0

3 years ago

consider there are three machines. All of the machines can produce 1000 pins at a time. Therate of producing a faulty pin from M

blondinia [14]

Answer:

0.03333

Step-by-step explanation:

Given that there are three machines. All of the machines can produce 1000 pins at a time.

Chance for any machine is thus equaly likely = 1/3

The rate of producing a faulty pin from Machine 1 be 10%, from Machine 2 be 20% andfrom Machine3 be 5%.

Machine I II III total

Faulty 0.10 0.20 0.05

Prob 0.3333 0.3333 0.3334 1

Faulty*prob 0.03333 0.06666 0.16665 0.26664

Thus probability that a produced pin will be faulty and it will be from the firstmachine

= 0.03333

6 0

3 years ago

100,203 in word form

Zanzabum

One hundred thousand two hundred and three

4 0

3 years ago

On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(3, 4), a

Mumz [18]

Answer:

9.7 miles

Step-by-step explanation:

The shortest distance between 2 points is a straight line

The distance from point A to point B is

d = sqrt( ( x2-x1)^2 + ( y2-y1) ^2)

d = sqrt( ( 3 - -3)^2 + ( 4-1) ^2)

d = sqrt( ( 6)^2 + ( 3) ^2)

d = sqrt(36+9)

d = sqrt(45)

d =6.7 to the nearest tenth

The distance from point B to point C is

d = sqrt( ( x2-x1)^2 + ( y2-y1) ^2)

d = sqrt( ( 3 - 3)^2 + ( -2-4) ^2)

d = sqrt( ( 0)^2 + ( -6) ^2)

d = sqrt(36)

d = 6

But They only made it half way so 1/2 (6) =3

Add the distances together

6.7+3 = 9.7 is the minimum distance

7 0

3 years ago