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2 years ago

Please help find the volume by using 3.14 as pi

Mathematics

1 answer:

zubka84 [21]2 years ago

8 0

Answer:

v = 794.0275 in³

v = 1,307.81 in³

Step-by-step explanation:

volume of cone

v = πr²h

----------------------------

cylinder P

v = 3.14 * (4.25²) * 14

v = 794.0275 in³

-----------------------------

cylinder Q

v = 3.14 * (7²) * 8.5

v = 1,307.81 in³

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

3 years ago

Rewrite in simplest terms: -0.2t - 5 (-8t + 5)

SVETLANKA909090 [29]

Answer: 40.2t - 25

Step-by-step explanation:

-0.2t - 5 (-8t + 5)

-0.2t + 40t -25

39.8t - 25

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3 years ago

What is the slope formula of (4,2) and (7, 6.5)

Lady_Fox [76]

Suppose the given coordinates are represented as,

$\begin{gathered} (x_1,y_1)=(4,2) \\ (x_2,y_2)=(7,6.5) \end{gathered}$

Then, the formula for slope can be expressed as,

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{6.5-2}{7-4} \end{gathered}$

Solving it,

$m=\frac{4.5}{3}=1.5$

The slope is 1.5.

The formula of (10, 8) anjd (-5,8) is

$m=\frac{8-8}{-5-10}$

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1 year ago

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2 years ago

Sandy typed 5 1/2 pages in 15 minutes. at this rate how many pages would sandy type per hour

Brums [2.3K]

Answer:

22 pages per hour.

Step-by-step explanation:

5.5/15 = 0.36666

0.36666 * 60 = 22

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2 years ago