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2 years ago

1.) a^4 times 4a^7 2.) | 3-2(4+3)+4^3 | those are absolute value signs 3.) (3x^6)^3

Mathematics

1 answer:

Sidana [21]2 years ago

7 0

First one is 4a to the 11th power.
others I'm not sure about

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Find the product of 4cis (pi/4) times 5cis (pi/6) in polar form.

KengaRu [80]

We have the following expression

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})$

This is equivalent to

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=(4\times5)cis(\frac{\pi}{4}+\frac{\pi}{6})$

Since

$\frac{\pi}{4}+\frac{\pi}{6}=\frac{6\pi+4\pi}{24}=\frac{10}{24}\pi=\frac{5}{12}\pi$

we have that

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=20cis(\frac{5\pi}{12})$

Therefore, the answer is the second option from top to bottom.

3 0

10 months ago

The fruity snack company is packaging fruit loop cereal in small snack bags each snack is to weigh 30 grams with a tolerance of

katrin [286]

9514 1404 393

Answer:

|w -30| > 1.6
(-∞, 28.4) U (31.6, ∞)

Step-by-step explanation:

1. The snack bags will be rejected if their weight differs from 30 grams by more than 1.6 grams:

|w -30| > 1.6

2. This inequality resolves to two inequalities.

w -30 > 1.6

w > 31.6 . . . . . add 30

and

-(w -30) > 1.6

w -30 < -1.6 . . . multiply by -1

w < 28.4 . . . . . add 30

The solution in interval notation is the union of the two disjoint intervals:

(-∞, 28.4) U (31.6, ∞)

4 0

3 years ago

Solve each equation by factoring ⁉️NEED THIS ASAP ⁉️

I am Lyosha [343]

Answer:

Step-by-step explanation:

3 0

2 years ago

Find the value of x²-8y³-36xy-216 when X=2y-6

Degger [83]

Answer:

4y²+112y+10

Step-by-step explanation:

not rly sure ya :)

3 0

2 years ago

A circle has an area of 4040 square meters. Which answer is closest to the measure of its diameter?

ch4aika [34]

Well the answer I got was closest to 71.

3.14 x radius squared = area

If you divide 4040 by 3.14 you get radius squared which is 1286.6242
If you square root it you get the radius which is 35.869544
If you multiply the radius by 2 you get diameter which is about 71.739088

7 0

3 years ago