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3 years ago

What is the volume of a sphere with radius of 16 inches? Use 3.14 for π. 200.96 in3 17,148.59 in3 1071.79 in3 4287.15 in3

Mathematics

2 answers:

Deffense [45]3 years ago

7 0

Answer:

The answer is 17148.59 in^3

Step-by-step explanation:

I just did the quiz.

crimeas [40]3 years ago

3 0

Answer:

17148.59 in^3

Step-by-step explanation:

This volume is calculated as follows: V = (4/3)(3.14)(16 in)^3 = 17148.95 in^3

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One half of the total cost

kotegsom [21]

You divid it by two my dude

4 0

3 years ago

Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

6 0

3 years ago

Determine the equation of the following polyromial that passes through point (0,6).

Ostrovityanka [42]

Answer:

Cubic polynomial has zeros at x=−1x=−1 and 22, is tangent to x−x−axis at x=−1x=−1, and passes through the point (0,−6)(0,−6).

So cubic polynomial has double zero at x=−1x=−1, and single zero at x=2x=2

f(x)=a(x+1)2(x−2)f(x)=a(x+1)2(x−2)

f(0)=−6f(0)=−6

a(1)(−2)=−6a(1)(−2)=−6

a=3a=3

f(x)=3(x+1)2(x−2)f(x)=3(x+1)2(x−2)

f(x)=3x3−9x−6

3 0

2 years ago

EASY MATHS PLS HELP

Fofino [41]

Answer:

(1.25, - 5 )

Step-by-step explanation:

Given the 2 equations

- 4x + 3y = - 20 → (1)

4x + 2y = - 5 → (2)

Adding the 2 equations term by term will eliminate the x- term

5y = - 25 ( divide both sides by 5 )

y = - 5

Substitute y = - 5 into either of the 2 equations and solve for x

Substituting into (2)

4x + 2(- 5) = - 5, that is

4x - 10 = - 5 ( add 10 to both sides )

4x = 5 ( divide both sides by 4 )

x = $\frac{5}{4}$ = 1.25

Solution is (1.25, - 5 )

3 0

3 years ago

Read 2 more answers

If there were 49 cars in a line that stretched 528 feet, what is the average car length? assume that the cars are lined up bumpe

lakkis [162]

If there were 49 cars in a line that stretched 528 feet, what is the average car length? assume that the cars are lined up bumper-to-bumper

Answer: We are given there are 49 cars

Also these 49 cars are in a line stretched 528 feet.

Now the average length of the car is:

Average length = $\frac{(length-covered-by-49-cars)}{Number-of-cars}$

= $\frac{528}{49}=10.78$

Therefore, the average length of car is 10.78 feet

6 0

3 years ago