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mart [117]
3 years ago
13

Which expressions are equivalent to StartFraction 1 Over 81 EndFraction? Check all that apply.

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0

The options are

(A)8^{-1} (B)9^{-2} (C)\dfrac{9^8}{9^4}  (D)\frac{9^8}{9^{10}}  (E)9^{-6}\cdot 9^3 (F)9^5 \cdot 9^{-7

Answer:

(B)9^{-2} \\ (D)\frac{9^8}{9^{10}} \\ (F)9^5 \cdot 9^{-7

Step-by-step explanation:

Given the fraction \dfrac{1}{81}

\dfrac{1}{81}=\dfrac{1}{9^2}=9^{-2

Any option that gives a form equivalent to any of the above is valid.

Option B= 9^{-2} which is equivalent

In Option D: \frac{9^8}{9^10}=9^{8-10}=9^{-2}

In Option F: 9^5 \cdot 9^{-7}=9^{5-7}=9^{-2}

Therefore, Options B, D and F are equivalent.

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A.( 18:32)
Vinil7 [7]

Answer:

Step-by-step explanation:

18 in every 32 (people or whatever it is) 18/32 then simplify i believe

4 0
3 years ago
More math help please!
Nata [24]
AS we know that:

V=SA*h

And we have the volume and we can calculate the SA,,,

So that, we can conclude:
h= \frac{V}{SA} = \frac{323.5}{\pi (7)^2} =2.1015~~in

Are you satisfied?




3 0
3 years ago
Read 2 more answers
Simplify 7 - (-4) + 3(-6)
jeka94

Answer:

-7

Step-by-step explanation:

7 - (-4)= 11

            +

3(-6)= -18

=-7

8 0
3 years ago
Read 2 more answers
M is the MIDPOINT OF FG. FG = 26 AND GM = (3X - 2)
vova2212 [387]

It is given in the question that

M is the MIDPOINT OF FG.

FG = 26 \  AND \  GM = (3X - 2)

Since M is the midpoint of FG, therefore GM is half of FG. That is

3X-2 = \frac{1}{2} (26)

3X-2 =13
\\
3X = 15
\\
X =5

Therefore

GM = 3(5) -2 = 13

And FM is 13 too .

3 0
3 years ago
Henry buys a large boat for the summer, however he cannot pay the full amount of $32,000 at
Anna007 [38]

Answer:

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

Step-by-step explanation:

Loan payment per month=Amount to pay÷discount factor

Mathematically  P=A÷D

where D is the discount factor calculated using the formula;

\frac{(1+i)^n-1}{i(1+i)^n}

where i=periodic interest rate=annual rate divided by number of payment periods

A is the amount to pay after downpayment

P is the loan monthly payment amount

n=number of periodic payments=payments per year times number of years

⇒In this question you find the discount factor then divide the amount remaining to pay with the discount factor to get monthly payments

Given;

Cost of boat=$32000

Down payment=$14000

Loan to pay=$32000-$14000=$18000

Annual rate=5.5%=i=5.5%÷12=0.458%⇒0.00458

Periodic payments, n=4×12=48

Finding the discount factor D;

D=\frac{(1+i)^n-1}{i(1+i)^n} \\\\\\D=\frac{(1+0.00458)^{48} -1}{0.00458(1+0.00458)^{48} } \\\\\\D=\frac{1.2455-1}{0.005703} \\\\\\D=\frac{0.2455}{0.005703} =43.05

To get the amount to pay monthly divide the loan to pay with the discount factor

=\frac{18000}{43.05} =418.14

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

8 0
3 years ago
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