(a^-7 x b^-2)^-9 =? Select the equivalent expression.

Solve the system of equations using substitution. y = 2x – 10 y = 4x – 8

Dmitry_Shevchenko [17]

If this paper dosent help u solve it on Your own i can walk u through it

3 0

3 years ago

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If a passanger is sellected at random, what is the probability that the passenger was female and survived

Jet001 [13]

??? Depends on how many people are there

3 0

3 years ago

Divide. a.1 − 2i/2i b. 5 − 2i/5 + 2i c.√3 − 2i/−2 − √3i

Umnica [9.8K]

Answer:

(a) \frac{-1i}{2}-1[/tex]

(b) $\frac{20i+21}{29}$

(c) i

Step-by-step explanation:

We have to perform division

(a) $\frac{1-2i}{2i}$

So after division

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

(b) We have given expression $\frac{5-2i}{5+2i}$

After rationalizing $\frac{5-2i}{5+2i}\times \frac{5-2i}{5-2i}=\frac{(5-2i)^2}{25+4}=\frac{25+4i^2+20i}{29}=\frac{20i+21}{29}$

(c) We have given expression $\frac{\sqrt{3}-2i}{-2-\sqrt{3i}}$

After rationalizing

$\frac{\sqrt{3}-2i}{-2-\sqrt{3i}}\times \frac{-2+\sqrt{3i}}{-2+\sqrt{3i}}=\frac{-2\sqrt{3}+7i+2\sqrt{3}}{7}=\frac{7i}{7}=i$

5 0

4 years ago

What is the interest you will pay if you borrowed $1,250 at 4% interest for 4 years?

AleksAgata [21]

Answer:

$200

Step-by-step explanation:

The formula for calculating interest = principal x interest rate x time

principal is the amount borrowed = $1250

interest rate = 4%

Time = amount of years the money is borrowed for

$1250 x 0.04 x 4 = $200

8 0

3 years ago

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pls There are (4^9)^5 ⋅ 4^0 books at the library. What is the total number of books at the library? A.4^9 B. 4^45 C. 4^46 D. 1

jekas [21]

We know that there are (4^9)^5 ⋅ 4^0 at the library, so we just need to simplify this to get the answer.
(4^9)^5 ⋅ 4^0
=(4^9)^5×1
=(4^9)^5
=4^9×5
=4^45. As a result, the total number of books at the library is 4^45 books at the library or B is the final answer. Hope it help!

6 0

3 years ago