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2 years ago

If (8^9)p = 8^16 what's the value of p?

Mathematics

1 answer:

monitta2 years ago

8 0

Answer:

$p = {8}^{7}$

Step-by-step explanation:

$(8^9)p = 8^{16 } \\ \\ p = \frac{8^{16 } }{8^{9 } } \\ \\ p = {8}^{16 - 9} \\ \\ \huge \red{ \boxed{p = {8}^{7} }}$

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Which statement best compares the rate of change of the two functions?

olga55 [171]

The rate of change of Function A is greater than the rate of change of Function B. I THINK SO IDK

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3 years ago

A 12,000-lb killer whale might eat as much as 14,000 lb of fish per month (assume a 30-day month). If the average weight of a ce

brilliants [131]

Answer:

2196 fish

Step-by-step explanation:

Weight of fish that the killer whale might eat in a month (30 days) = 14,000 lb

Weight of the fish that killer whale might eat in a day = $\frac{14000}{30} = \frac{1400}{3}$ lb.

Average weight of the fish that killer whale eats = 3.4 oz

Since,

1 pound(lb) = 16 ounces(oz)

So,

Weight of the fish that killer whale might eat in a day in ounces(oz) = $\frac{1400}{3} \times 16=\frac{22400}{3}$ oz

Since, a certain fish weighs 3.4 oz, in order to find the number of fish that killer whale must eat, we must divide the total weight in ounces by 3.4 ounces.

So, the number of fish that killer whale would eat = $\frac{22400}{3} \div 3.4 = 2196$ fish

Thus, the killer whale needs to eat 2196 fish.

8 0

3 years ago

Choose 3 values that would make this inequality true. <img src="https://tex.z-dn.net/?f=4%2Bg%20%5Cgeq%209" id="TexFormula1" tit

Elena-2011 [213]

G>=5, so anything above or equal to 5 would count. So, you could use 5, 6, 7.

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3 years ago

What is the sum if the first 22 terms of the following series? 86 + 79 + 72 + 65 +58+...

Arturiano [62]

Seems to be an arythmetic sequence
Sn=[n(a1+an)]/2
where
Sn means sum of all terms up the nth term
n=number of terms
a1=first term
an=nth term

so from 86 to the 22th term is from a1 to a22

find teh sequence
miknus 7 each time
an=a1+d(n-1)
an=87-7(n-1)
find 22n term
a22=87-7(22-1)
a22=87-7(21)
a22=87-147
a22=-60

S22=[22(87-60)]/2
S22=[22(27)]/2
S22=594/2
S22=297

the sum is 297

5 0

3 years ago

The diagram represents the factorization of x2 – 9x + 18. It is partially completed.

blagie [28]

Answer:

-3x and -6x

Step-by-step explanation:

Take a look at the missing spaces. Multiply -6 with x which equals -6x

Multiply -3 with x which equals -3x

Therefore, the answer is B, -3x and -6x

3 0

2 years ago