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MArishka [77]
4 years ago
13

8^(3x-1)=2^8 Solve for x 

Mathematics
2 answers:
S_A_V [24]4 years ago
6 0
8^{3x - 1} = 2^8 ; 8 = 2^3 \\
(2^3)^{3x-1} = 2^8 \\
2^{9x-3} = 2^8 \\
9x-3=8 \\
9x=11 \\
x= \frac{11}{9}
Yuri [45]4 years ago
4 0
8^{(3x-1)}=2^8 \\\\ 2^{3(3x-1)}=2^8 \\\\ 3(3x-1)=8 \\\\ 9x-3=8 \\\\ 9x=8+3 \\\\ 9x=11 \\\\ \boxed{x=\frac{11}{9}}
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What is this problem
sergeinik [125]

Answer:

m=A-\frac{2n}{Z}

Step-by-step explanation:

Multiply by 2:

2n = Z(A - m)

Divide by Z:

\frac{2n}{Z} =A-m

Subtract A:

-m=\frac{2n}{Z}-A

Multiply by -1:

m=A-\frac{2n}{Z}

3 0
3 years ago
Jamie invests $1,200 in an account that earns 3% interest. Assuming continuous compounding, how much is in his account after 7 y
goblinko [34]

Answer:

The amount in account after 7 years of investment is $1478.4

Step-by-step explanation:

Given as :

The principal invested in account by Jamie = p = $1200

The rate of interest = r = 3% compounded annually

The Time period of investment = t=  7 years

Let The Amount in Jamie account = $ A

<u>For continuous compounding</u>

Amount = Principal × e^{r \times time}

Or, A = p × e^{r \times time}

Or, A = $1200 × e^{0.03 \times 7}

Or, A = $1200 × 2.71^{0.03 \times 7}

Or, A = $1200 × 1.232

∴  A = $1478.4

So, The amount after continuous compounding = A = $1478.4

Hence , The amount in account after 7 years of investment is $1478.4    Answer

5 0
4 years ago
Tables of Ratios: Mastery Test
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3 years ago
13. Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet
VashaNatasha [74]

Answer:

The height of the dog house = 4 feet.

Step-by-step explanation:

Given:

The shape of the dog house is like a tent.

The slant heights of the house is 5 feet.

The bottom of the house is 6 feet across.

To find the height of the dog house at its tallest point.

Solution:

On drawing the figure of the dog house in the shape of a tent, we find out that the tallest point would be at the midpoint of the bottom of the house.

Thus, we ave a right triangle, of which one leg = \frac{6\ ft}{2}=3\ ft and hypotenuse = 5\ ft

<em>Applying Pythagorean theorem to find the measure of the other leg which is the height of the house.</em>

Hypotenuse^2=Leg1^2+Leg2^2

Plugging in values.

5^2=3^2+Leg2^2

25=9+Leg2^2

Subtracting both sides by 9.

25-9=9-9+Leg2^2

16=Leg2^2

Taking square root both sides.

\sqrt{16}=\sqrt{Leg2^2}

4=Leg2

Thus, the height of the dog house = 4 feet.

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