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3 years ago

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

Slav-nsk [51]

Answer:

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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

f(-3) = 12*(-3)9 + (-3) = -236196 - 3

f(-3) = -236199

Putting those two things together, we get

f(3) + f(-3) = 236199 - 236199 = 0

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 %

Amount of tip given = $2

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

Making an equation,

$0.25x =2$

Now we have to solve for x, so dividing both sides by 0.25,

x= 8

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?

$\bf \begin{array}{ccll}
quarts&gallons\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
4&1\\
x&2.5
\end{array}\implies \cfrac{4}{x}=\cfrac{1}{2.5}\implies \cfrac{4\cdot 2.5}{1}=x$

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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