Mrs eaves bought 5lb 15 oz of apples and 8lb 8oz of oranges. How many more ounces of oranges did she buy than apples!

Mathematics

1 answer:

PtichkaEL [24]2 years ago

4 0

41 more ounce is the answer or 2.5625

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What is the factorization of the polynomial below? -3x^3+15x^2+42x

kherson [118]

Factoring out x

x(-3x^2+15x+42) now factor parenthetical expression

x(-3x^2+21x-6x+42)

x(-3x(x-7)-6(x-7))

x(-3x-6)(x-7) we can factor out -3 from first parentheses

-3x(x+2)(x-7)

7 0

2 years ago

Mjhs is refinishing a basketball court and decided to paint everything shown below blue. How many square feet will be painted bl

SashulF [63]

Answer:

<h2>Mjhs needs 189.25 square feet of blue paint, approximately.</h2>

Step-by-step explanation:

As you can observe in the image attached, the basketball court is a composite figure formed by a rectangle and half of a circle.

The rectangle has dimensions of 10 feet by 15 feet. The circle has a diameter of 10 feet.

The expression of this composite area would be

$A= w \times l + \frac{\pi (\frac{l}{2} )^{2} }{2}$

Where $w = 15 \ ft$ and $l = 10 \ ft$ . Replacing these values, we have

$A= 15 \times 10 + \frac{3.14 (\frac{10}{2} )^{2} }{2}\\ A=150 + \frac{3.14 \times 25}{2}=150+39.25 \\ A \approx 189.25 \ ft^{2}$

Therefore, Mjhs needs 189.25 square feet of blue paint, approximately.

8 0

2 years ago

Can somebody explain this to me when 2du = 16xdx ???

tamaranim1 [39]

When you set $u=4x^2+4$ , you end up with the differentials $\mathrm du=8x\,\mathrm dx$ . Multiplying both sides by 2 gives $2\,\mathrm du=16x\,\mathrm dx$ .

Then the integral is

$\displaystyle\int_0^1\frac{16x}{(4x^2+4)^2}\,\mathrm dx=\int_4^8\frac2{u^2}\,\mathrm du=-\frac2u\bigg|_{u=4}^{u=8}=-2\left(\frac18-\frac14\right)=\frac14$