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Volgvan
3 years ago
8

If (9^2)^p = 9^8, what is the value of p?

Mathematics
2 answers:
Rama09 [41]3 years ago
8 0

your answer will be 4


seropon [69]3 years ago
4 0

Use the power rule

(a^b)^c = a^{bc}

To rewrite the equation as

9^{2p} = 9^8

So, the two exponents have to be the same:

2p = 8 \iff p=4

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y varies directly as x and inversely as the square of z. y equals y=30 when x equals x=108 and z equals z=6. Find y when x equal
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3 years ago
Let $f(x) = 12x^9 + x$. Find $f(3) + f(-3)$.
BlackZzzverrR [31]

Answer:

Ok, here goes:  f(3) means take f(x) and plug in 3 wherever we see x.  So

f(3) = 12*39 + 3 = 236196 + 3

f(3) = 236199

Likewise, f(-3) means take f(x) and plug in (-3) wherever we see x.  So

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Step-by-step explanation:

7 0
1 year ago
Andrea bought tacos from a food truck and left a 2 5 % 25%25, percent tip of $ 2 . 0 0 $2.00dollar sign, 2, point, 00. What was
Bingel [31]

Let us say the original price of taco before tip was x dollars.

Percentage of tip given =25 %

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Now we can say that 25 % of total amount = 2 dollars.

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Answer : The original price of tacos before tip was $8.

5 0
3 years ago
Read 2 more answers
Write a proportion you could use to convert 2.5 gallons to quarts.
marusya05 [52]
We know there are 4 quarts in a gallon, so how many quarts in 2.5 gallons anyway?

\bf \begin{array}{ccll}
quarts&gallons\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
4&1\\
x&2.5
\end{array}\implies \cfrac{4}{x}=\cfrac{1}{2.5}\implies \cfrac{4\cdot 2.5}{1}=x
5 0
3 years ago
A circle with circumference 130 has an arc with a 72°<br> angle. What is the length of the arc?
deff fn [24]

Answer:

arc = 26 units

Step-by-step explanation:

130 = 360°

(72° arc/360°)(72) = 26

4 0
2 years ago
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