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3 years ago

Thx guys answer is below

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

5 0

Answer:

18-5i

Step-by-step explanation:

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SOMEONE PLEASE HELP. Please show me how to do it and what the answer would be thank you.

goblinko [34]

Answer:

hiiii

Step-by-step explanation:

welcome back

3 0

3 years ago

Read 2 more answers

A population of size 3,624 grows at a rate of 3% per year, compounded continuously. How big will the population be in 2 years?

rodikova [14]

Answer:

Step-by-step explanation:

The continuous compound formula is

$y=Pe^{rt$ where P is the principle or starting value, r is the growth rate in decimal form, and t is the time in years. For us:

$y=3624e^{(.03)(2)}\\y=3624e^{.06}\\y=3624(1.061836547)\\y=3848.09$

which would probably round to just 3848 people.

8 0

2 years ago

Please help me solve this equation

elena-s [515]

Answer:

m<U = 38degrees

Step-by-step explanation:

From the given diagram, <B = <U since both triangles are similar, hence;

Hence;

2y+2 = 3y-16

2y - 3y = -16 - 2

-y = -18

y = 18

Get m<U

m<U = 3y-16

m<U = 3(18) -16

m<U = 54 - 16

m<U = 38degrees

3 0

2 years ago

Prove the divisibility: 45^45·15^15 by 75^30

garri49 [273]

Answer:

$3^{75}$ .

Step-by-step explanation:

We have been an division problem: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(9*5)^{45}=9^{45}*5^{45}$

$15^{15}=(3*5)^{15}=3^{15}*5^{15}$

$75^{30}=(15*5)^{30}=15^{30}*5^{30}$

Substituting these values in our division problem we will get,

$\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}$

$\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}$

$\frac{3^{45}*3^{45}*5^{60}*3^{15}}{3^{30}*5^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}$

$\frac{3^{105}*5^{60}}{3^{30}*5^{60}}$

$\frac{3^{105}}{3^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{105}}{3^{30}}=3^{105-30}$

$3^{105-30}=3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

7 0

3 years ago

What ratio forms a proportion with 8/36 ? a. 1/4 b.6/27 c.7/30 d.2/7

Vaselesa [24]

6/27 bc (6/27)=(8/36)= 216/216= they are the same or 2/9=6/27=8/36

7 0

2 years ago