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3 years ago

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A recipe that serves four people calls for 2 1/4 cups of butter. How many cups of butter needed to serve 10 people? Show your wo

rk and explain how you got your answer using a complete sentence

1 answer:

Eduardwww [97]3 years ago

7 0

Answer:

5 5/8

Step-by-step explanation:

2 1/4 * 2 = 4 1/2

2 1/4 / 2 = 1 1/8

4 4/8 + 1 1/8 = 5 5/8

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for v= 4i - 5j, find unit vector u in the direction of v, and write your answer as a linear combination of the standard unit vec

umka21 [38]

Answer:

a. $u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}$

Step-by-step explanation:

The given vector is v= 4i - 5j

The magnitude of this vector is;

$|v|=\sqrt{(-4)^2+(-5)^2}$

$|v|=\sqrt{16+25}$

$|v|=\sqrt{41}$

The unit vector u in the direction of v is;

$u=\frac{v}{|v|}$

$u=\frac{4i - 5j}{\sqrt{41}}$

$u=\frac{4i }{\sqrt{41}}-\frac{5j}{\sqrt{41}}$

We rationalize to get

$u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}$

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3 years ago

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yulyashka [42]

Answer:

Step-by-step explanation:

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Suppose that f(x) is an EVEN function and let the integral f(x) dx from 0 to 1=5 and the integral f(x) dx from 0 to 7 =1. What i

Cerrena [4.2K]

<span>Since it's even, the integral from -7 to -1 is the same as the integral from 1 to 7.
</span><span>think about
x^2 from 0..1,its 1/3
from 0..7 its 7^3/3
from -1..7 its 7^3/3+1/3
</span>
<span>from -7..-1 of x^2 its -1/3+7^3/3 to get this without integrating we just do 7^3/3-1/3 which is the integral from 0..7 minus the integral from 0..1
</span><span>So the integral from 1 to 0 f(x) dx = 5 changes to the integral from 0 to 1 f(x) dx = -5 and you add it to the integral from 0 to 7 which is 1 making -4</span>

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3 years ago

The perimeter of a rectangle is given by the formula P=2l+2w, where l represents the length and w represents the width. What is

Alex73 [517]

Answer:

Replace l with 110 and w with 120

P = 2(110) + 2(120)

P = 220 + 240

P = 460 feet

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4 years ago

Marking Brainliest! 3(x-100)=?

Alisiya [41]

Answer:

3x - 300

Step-by-step explanation:

Expand the brackets or use distribute law.

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