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mafiozo [28]
3 years ago
9

Solve (1/8)^-3a=512^3a

Mathematics
2 answers:
lukranit [14]3 years ago
5 0
Solve (1/8)^-3a = 512^3a
A=0

I took the assignment it’s right.
melamori03 [73]3 years ago
5 0

Answer:

Using exponent rule:

\frac{1}{a^n}=a^{-n}

(a^n)^m = a^{nm}

Solve:

(\frac{1}{8})^{-3a} =(512)^{3a}

We can write 512 as:

512 = 8 \cdot 8 \cdot 8 = 8^3

then;

(\frac{1}{8})^{-3a} =(8^3)^{3a}

⇒(\frac{1}{8})^{-3a} =(8)^{9a}

Using exponent rule we have;

⇒(8^{-1})^{-3a} =(8)^{9a}

⇒(8)^{3a} =(8)^{9a}

On comparing both sides we have;

3a = 9a

⇒9a-3a = 0

⇒6a = 0

⇒a = 0

Therefore, the value of a = 0

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Answer:

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5 0
3 years ago
rick jogged the same distance on tuesday snd friday, and 8 miles on sunday for a total of 20 miles for the week. solve to find t
saveliy_v [14]

Ricky jogged 6 miles on tuesday and 6 miles on friday

<em><u>Solution:</u></em>

Given that,

Rick jogged the same distance on tuesday and friday

Let "x" be the distance jooged on each tuesday and friday

He also jogged for 8 miles on sunday

Total of 20 miles for the week

Therefore, we frame a equation as,

total distance jogged = miles jogged on tuesday + miles jogged on friday + miles jogged on sunday

20 = x + x + 8

20 = 2x + 8

2x = 20 - 8

2x = 12

x = 6

Thus Ricky jogged 6 miles on tuesday and 6 miles on friday

3 0
3 years ago
Yes, it is correct
alexgriva [62]

Answer:In Heather's solution to the problem, she wrote and solved an equation.

Her work is:

Step 1: 1.08(x +9.01 +0.98 +5.01) = 21.87

Solving like terms

1.08(x+15}=21.87

dividing both side by 1.08

we get

x+15=21.87/1.08

x+15=20.25

subtracting both side by 13.9198

x=20.25-15

x=5.25

According to correction

;

<u>Option 1st</u>

<u>yes,it is correct</u>

7 0
3 years ago
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x axis?
LuckyWell [14K]
We have that
f(x) = (x – 5)³(x + 2)²

we know that
<span>the roots can touch or cross the x axis

</span>The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.

(x - 5)³ has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)² has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

therefore

the answer is
<span>the graph of f(x) touch the x axis for the root x=-2
</span>
see the attached figure

5 0
3 years ago
Read 2 more answers
A pharmacist put 4.536 ounces of vitamin pills into bottles. She put .042 ounce of vitamin pills into each bottle.
Rama09 [41]

Answer:

108 bottles

Step-by-step explanation:

the total is 4.536 oz of vitamin pills

each bottle can accomodate 0.042 oz of vitamin pills

to know the quantity of each bottle

we calculate

0.042 oz of vitamin pills  = 1 bottle

4.536 oz of vitamin pills = (4.536 x 1)/0.042=108

so therefore 4.536 oz of vitamin pills will accommodate 108 bottles

4 0
3 years ago
Read 2 more answers
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