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3 years ago

Determine whether the value of each power is positive or negative.

Mathematics

1 answer:

Leona [35]3 years ago

4 0

Answer:

Positive: (-3)4,(-1)2,(-4)8

Negative:(-10)5,(-2)9,(-6)3

Step-by-step explanation:

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For the equation ae^ct=d, solve for the variable t in terms of a,c, and d. Express your answer in terms of the natural logarithm

saveliy_v [14]

We have been given an equation $ae^{ct}=d$ . We are asked to solve the equation for t.

First of all, we will divide both sides of equation by a.

$\frac{ae^{ct}}{a}=\frac{d}{a}$

$e^{ct}=\frac{d}{a}$

Now we will take natural log on both sides.

$\text{ln}(e^{ct})=\text{ln}(\frac{d}{a})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$ct\cdot \text{ln}(e)=\text{ln}(\frac{d}{a})$

We know that $\text{ln}(e)=1$ , so we will get:

$ct\cdot 1=\text{ln}(\frac{d}{a})$

$ct=\text{ln}(\frac{d}{a})$

Now we will divide both sides by c as:

$\frac{ct}{c}=\frac{\text{ln}(\frac{d}{a})}{c}$

$t=\frac{\text{ln}(\frac{d}{a})}{c}$

Therefore, our solution would be $t=\frac{\text{ln}(\frac{d}{a})}{c}$ .

5 0

3 years ago

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.

GenaCL600 [577]

Easy
sub 2 for x

f(2)=2(2)^3-3(2)^2+7
f(2)=2(8)-3(4)+7
f(2)=16-12+7
f(2)=11

4 0

3 years ago

At a zoo 5% of the birds are macaws. What decimal is equivalent to 5%

Svetllana [295]

0.05 is 5 percent is decimal form. In order to get the decimal form of a percentage you have to move your decimal to places left. Your invisible decimal is where the percentage sign at the end of your number is. Hope this helps.

6 0

3 years ago

Find the smallest natural number that is a multiple of 45 and where all of its digits are zeros and ones.

Sergio039 [100]

Answer:

1111111110

Step-by-step explanation:

45 is 9, and 5.

9 divisibility rule: Digits have to add up to 9.

We know this has to be 1's and 0's.

So there has to be 9 1's.

111111111.

5 divisibility rule: Last digit has to be 0 or 5.

1111111110 will be our final answer.

Wait- let's check if it's divisible. Using a calculator, this determines it does work.

Enjoy.

6 0

3 years ago

Which ratio is equivalent to the ratio 2:5?

zheka24 [161]

Answer:

6:15

Step-by-step explanation:

because if you multiply 3 by 2 and 5 you will get 6:15 you can also divide 6 and 15 by 3

Hope this is helpful and correct

5 0

3 years ago