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Lubov Fominskaja [6]
3 years ago
7

Solve the exponential equation. 8x = 1/4 -2 -2/3 2/3

Mathematics
1 answer:
Karolina [17]3 years ago
5 0

Answer:

\large\boxed{x=-\dfrac{2}{3}}

Step-by-step explanation:

8^x=\dfrac{1}{4}\\==============\\\\8=2^3\\\\\dfrac{1}{4}=\dfrac{1}{2^2}=2^{-2}\\\\===============\\\\(2^3)^x=2^{-2}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3x}=2^{-2}\iff3x=-2\qquad\text{divide both sides by 3}\\\\x=-\dfrac{2}{3}

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GIVING BRAINLIEST!!!!
mr Goodwill [35]

Answer:

Two

Step-by-step explanation:

there is TWO sulotions!!!

4 0
3 years ago
Inherently, industry analysis is a static framework, but it can be used in a quasi-dynamic way by applying the framework at diff
Liula [17]

Answer:

True

Step-by-step explanation:

Quasi-dynamic is a framework which accounts for inertial effects. In this we determine the long term behavior of state. It can be used to identify industry analysis where the industry is in a static state. Quasi static is a thermo-dynamic process that remains in internal equilibrium.

3 0
3 years ago
A savings account earns 15% interest annually. What is the balance after 8 years in the savings account when the initial deposit
natita [175]

The balance after 8 years is $22,942.67

<h3>What is the balance after 8 years?</h3>

We know that the savings account earns 15% annually, and the initial deposit is $7500, then the balance as a function of time in years is:

B = $7500*(1 + 15%/100%)^t

B = $7500*(1.15)^t

The balance after 8 years is what we get when we evaluate the above function in t = 8, so we get:

B = $7500*(1.15)^8 = $22,942.67

So the correct option is the last one.

If you want to learn more about exponentials:

brainly.com/question/2456547

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3 0
2 years ago
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

F = \dfrac{9}{6^x}

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

W = \int\limits^{x_2}_{x_1} {F(x)} \, dx

with x_1 and x_2 the initial and final displacements respectively.

From the question, x_1  =0 and x_2 = 12.

Then

W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx

Evaluating the indefinite integral,

\int\limits \dfrac{9}{6^x} \, dx  =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx

From the rules of integration,

\int\limits a^x\, dx = \dfrac{a^x}{\ln a}

9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x

Returning the limits,

\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}

4 0
3 years ago
100y−39,000=55(x−800)
hoa [83]

Answer:

y = 11/20x -50

Step-by-step explanation:

100y−39,000=55(x−800)

Distribute

100y−39,000=55x−44000

Add 39000 to each side

100y−39,000+39000=55x−44000+39000

100y = 55x -5000

Divide each side by 100

100y/100 = 55x/100 - 5000/100

y = 11/20x -50

This is slope intercept form

where 11/20 is the slope and -50 is the y intercept

4 0
3 years ago
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