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2 years ago

Simplify 12^3/12^7 A. 12^4 B 1/12^4 C 1/12^-4 D 12^10

Mathematics

2 answers:

mrs_skeptik [129]2 years ago

8 0

The answer is B.

Explanation:

If you divide exponents, you subtract the exponents.

Andrei [34K]2 years ago

4 0

Answer:

its b if you need an explanation can use an online calculater and it shows you the sbs

Step-by-step explanation:

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What is the answer to 2/5x+3/7=1-4/7x

skelet666 [1.2K]

X=10/17 thats ur answer

7 0

2 years ago

Help pleaseeeeeeeeeeeeeeeeeeeeeee

bixtya [17]

Answer: $\bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}$

<u>Step-by-step explanation:</u>

(1) (12, 18, 27, ...)

The common ratio is:

$r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\ r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}$

$(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\ r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}$

3 0

2 years ago

Under her cell phone plan, Lillian pays a flat cost of $47 per month and $3

anastassius [24]

Answer:

3.4 gigabytes

Step-by-step explanation:

Because 57.20$ divided by 47 is 10.20 and 3 goes in to 10.2 3.4 times.

3 0

2 years ago

I have attached the problem in a picture below!

lesantik [10]

Answer:

A. The solution set is x = 5 or -7

Step-by-step explanation:

$\sqrt[4]{ {x}^{2} + 2x } = \sqrt[4]{35} \\ {({x}^{2} + 2x) }^{ \frac{1}{4} } = {(35)}^{ \frac{1}{4} } \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} } = {35}^{ \frac{1}{4} } \\ {x}^{2} + 2x = 35 \\ {x}^{2} + 2x - 35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5 \: or \: - 7$

Therefore, the answer is A. as the solution is x = 5 or -7

4 0

7 months ago

Fransico had 2 1/2 pizzas left over after his birthday party. The next day he and his family ate 1 1/4 of the left over pizza. H

zavuch27 [327]

Answer:

2 2/4 - 1 1/4 = 1 1/4

Step-by-step explanation:

Hope this helps!

if not I am sorry

5 0

1 year ago