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3 years ago

Please help me with this!

Mathematics

1 answer:

Elina [12.6K]3 years ago

7 0

It takes 2 weeks because you gotta see what epuals to it.

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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

3 years ago

The quotient of a number 2, minus 9, is 14

rodikova [14]

I think your answer is going to be 23

6 0

3 years ago

How do you solve this step by step

nydimaria [60]

Work shown above! x = 7
To solve use the supplementary angle next to the unknown angle to find an expression for that unknown angle and use that with the expressions inside the triangle to set equal to 180 and solve for x.

hope this helps c:

3 0

3 years ago

HELP ASAP MATH QUESTION WILL BE MARKED BRAINLIESTTT!! PART ! FR THIS TIME

olganol [36]

Answer:

length, width , and perimeter

Step-by-step explanation:

27 8

3 0

3 years ago

There is 3/4 of pizza leftover from the night before . how many 1/8 portions are there

serg [7]

We want to know how many 1/8's are in 3/4, so we divide.

$\sf\dfrac{3}{4}\div\dfrac{1}{8}$

Flip the 2nd fraction and multiply:

$\sf\dfrac{3}{4}\times\dfrac{8}{1}$

Multiply the numerators and denominators together:

$\sf\dfrac{3\times8}{4\times1}\rightarrow\dfrac{24}{4}$

Divide:

$\boxed{\sf6}$

3 0

3 years ago

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