All categories

2 years ago

Solve the following equations 5^2x-2(5^x)-15=0

Mathematics

1 answer:

castortr0y [4]2 years ago

5 0

Answer:

x = 1

Step-by-step explanation:

${5}^{2x} - 2( {5}^{x} ) - 15 = 0$

$( {5}^{x} {)}^{2} - 2 \times {5}^{x} - 15 = 0$

${t}^{2} - 2t - 15 = 0$

${5}^{x} t = - 3 \: \: .5$

${5}^{x} = 5$

$x = 1$

You might be interested in

This is a record of a marble being rolled along the ground. what was the marbles average speed for this entire trip brainly

saw5 [17]

The answer is 1.5 m/s

5 0

3 years ago

Read 2 more answers

Please Help! Multiple Choice!

Katyanochek1 [597]

Using the z-distribution, the p-value would be given as follows:

b) 0.0086.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis we test if the means are equal, hence:

$H_0: \mu_D - \mu_C = 0$

At the alternative hypothesis, it is tested if they are different, hence:

$H_1: \mu_D - \mu_C \neq 0$

<h3>What are the mean and the standard error for the distribution of differences?</h3>

For each sample, they are given as follows:

$\mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086$

$\mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556$

Hence, for the distribution of differences, they are given by:

$\overline{x} = 12 - 14 = -2$ .

$s = \sqrt{0.6086^2 + 0.4556^2} = 0.76$

<h3>What is the test statistic?</h3>

The test statistic is given by:

$z = \frac{\overline{x} - \mu}{s}$

In which $\mu = 0$ is the value tested at the null hypothesis.

Hence:

$z = \frac{\overline{x} - \mu}{s}$

$z = \frac{-2 - 0}{0.76}$

z = -2.63.

Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.

Hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/13873630

#SPJ1

4 0

2 years ago

reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

ladessa [460]

Answer:

RE÷EEEEEEEEEEEEEEEEEE

3 0

2 years ago

20 POINTS

noname [10]

Answer:

EXAMPLE

Pete bought a shirt on sale for $

18, which is one-half the original price. What was the original price of the shirt?

Solution:

Step 1. Read the problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the Internet.

In this problem, do you understand what is being discussed? Do you understand every word?

Step 2. Identify what you are looking for. It’s hard to find something if you are not sure what it is! Read the problem again and look for words that tell you what you are looking for!

In this problem, the words “what was the original price of the shirt” tell you what you are looking for: the original price of the shirt.

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18=12p

Multiply both sides by 2.

⋅

2⋅18=2⋅1

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18=12p

Multiply both sides by 2.

⋅

2⋅18=2⋅12p

Simplify.

36=pStep 6. Check the answer in the problem and make sure it makes sense.

We found that

p=36, which means the original price was

$36

$36. Does

$36

$36 make sense in the problem? Yes, because

18 is one-half of

36, and the shirt was on sale at half the original price.Step 7. Answer the question with a complete sentence.

The problem asked “What was the original price of the shirt?” The answer to the question is: “The original price of the shirt was

$36

$36.”

If this were a homework exercise, our work might look like this:

The top reads,

TRY IT

Step-by-step explanation:

<em>#CarryOnLearning</em>

4 0

2 years ago

1. Gerald is an event photographer. In his

Effectus [21]

The information is really hard to follow, you should ask the question with a screenshot of the data table.

6 0

2 years ago