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2 years ago

Serious inquiries only please need help

Mathematics

1 answer:

Bezzdna [24]2 years ago

7 0

His rent decreeses by 1285 - 1180 = $105

so the mean decreases by 105 / 7 = $15

The median stays the same

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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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Write the fraction as a decimal 1/2

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1.2 is it as a decimal or 0.5

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3 years ago

Which expression is equivalent to 6+4.5(32f-14f)

vichka [17]

Answer:

$6 + 4.5(32f - 14f) = 6 + 81f$

Step-by-step explanation:

Let us apply the distributive property to find an equivalent expression for:

$6 + 4.5(32f - 14f)$

For all real numbers a, b, and c, the distributive property says that:

$a(b + c) = ab + ac$

We apply this property to get:

$6 + 4.5(32f - 14f) = 6 + 4.5 \times 32f + 4.5 \times - 14f$

$6 + 4.5(32f - 14f) = 6 + 144f - 63f$

We simplify the RHS to get:

$6 + 4.5(32f - 14f) = 6 + 81f$

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