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2 years ago

Someone please help! i don’t get what it’s asking or how to do it :( worth 12 points

Mathematics

1 answer:

jek_recluse [69]2 years ago

6 0

Answer:

2 cubic yards

Step-by-step explanation:

In this problem we are simply finding the volume of a 3D shape. We can calculate this by L × W × H.

9.5 × 12 × 1/3 = 48 ft³

(Note: 4 inches is 1/3 foot)

This means Rosilaine needs 48 cubic feet of wood chips. However, the wood chips are sold in yards, so we need to convert cubic feet to cubic yards.

48 ÷ 27 = 1.777 (repeating decimal)

This means Rosilaine should buy 2 cubic yards of wood chips.

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What is the sum of the roots of the polynomial shown below? f(x) = x^3 + 2x^2 - 11x-12

svp [43]

Answer:

Sum of the roots of the polynomial $x^{3}+2 x^{2}-11 x-12 \text { is }-2$

Solution:

The general form of cubic polynomial is $a x^{3}+b x^{2}+c x+d=0$ ---- (1)

If we have any cubic polynomial $a x^{3}+b x^{2}+c x+d=0$ having roots $\alpha , \beta , \theta$

Sum of roots $\alpha + \beta + \theta$ = $\frac{-b}{a}$ ---(2)

From question given that,

$x^{3}+2 x^{2}-11 x-12$ --- (3)

On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12

Hence the sum of roots using eqn 2 is given as,

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

= -2

Hence the sum of the roots of the polynomial $x^{3}+2 x^{2}-11 x-12 \text { is }-2$

4 0

2 years ago

How do you change 5.5 into a fraction?

Scrat [10]

5.5 in fraction is 5 1/2

hope that helps :)

4 0

3 years ago

Read 2 more answers

And English class has read the first 384 pages of your novel. If this is 75% of the entire book, how many total pages are in the

Doss [256]

384 pages (0.75) = 288 pages
Add this to the original amount of pages.

384 + 288 = 672 total pages.

3 0

3 years ago

Read 2 more answers

A feeder at the zoo in shape of a cone has a radius of 3 inches. It holds about 113.04 cubic inches of food. Approximate its hei

umka2103 [35]

Answer:

12 inches

Step-by-step explanation:

3 0

3 years ago

I need help trying to figure this out I think I have and answer but I want to make sure.

yKpoI14uk [10]

Answer:

Step-by-step explanation:

The mean is calculated as

mean = $\frac{frequency(midpoint)}{frequency}$

let x be the missing frequency, then

Total frequency × midpoint

= (16 × 2) + 7x + (20 × 12) + (10 × 17) = 32 + 7x + 240 + 170 = 442 + 7x

Total frequency = 16 + x + 20 + 10 = 46 + x, thus

$\frac{242+7x}{46+x}$ = 8.5 ( cross- multiply )

442 + 7x = 8.5(46 + x)

442 + 7x = 391 + 8.5x ( subtract 8.5x from both sides )

442 - 1.5x = 391 ( subtract 442 from both sides )

- 1.5x = - 51 ( divide both sides by - 1.5 )

x = 34

The missing frequency is 34

3 0

3 years ago