1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vazorg [7]
3 years ago
6

5^-2x times 5^x+2 = 5^-2x

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
3 0
5^{-2x}\cdot5^{x+2}=5^{-2x}\\
5^{x+2}=1\\
x+2=0\\
x=-2

You might be interested in
Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories. 1. if she eats 2 servings of granola, how many
Tatiana [17]
1. 700 calories
2. Half a serving
3.x=serving
350x=calories
5 0
3 years ago
Read 2 more answers
An investigator thinks that people under the age of forty have vocabularies that are different than those of people over sixty y
Kay [80]

Answer:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

Step-by-step explanation:

Information given

\bar X_{1}=14 represent the mean for sample 1 (younger)

\bar X_{2}=20 represent the mean for sample 2 (older)  

s_{1}=5 represent the sample standard deviation for 1  

s_{f}=6 represent the sample standard deviation for 2  

n_{1}=31 sample size for the group 2  

n_{2}=31 sample size for the group 2  

t would represent the statistic

System of hypothesis

We want to test if  that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

The statistic is given by:

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=31+31-2=60  

Replacing the info given we got:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

6 0
3 years ago
Help please!!
IRINA_888 [86]
I think it’s QT EJ and HA
7 0
3 years ago
Read 2 more answers
on a bookshelf there are 5 paperback books and 3 hardcover books is the ratio of books to hardcover books 5:3 explain
Lana71 [14]

Answer: no

Step-by-step explanation: because overall there’s isn't a total of 5 books, 5 books is how many paperback books you have

6 0
4 years ago
Tamara has a cell phone plan that charges $0.07
coldgirl [10]

Answer:c

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • What the answer to this equation<br>-3+5+2y-7y please show worj
    6·2 answers
  • A(2/3x-3)=b solve for x
    9·1 answer
  • Combine like radicals to get your answer. <br><br> image attached
    9·1 answer
  • The value of m is equal to three times n divided by the difference of 4p and 5n. which of the equations below is equivalent to t
    8·1 answer
  • Let v1,....., vk be vectors, and suppose that a point mass of m1,....., mk is located at the tip of each vector. The center of m
    14·1 answer
  • Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The oth
    13·1 answer
  • Please help me solve this?
    5·1 answer
  • Which must be true I NEED HELP
    13·1 answer
  • Please help! Only if you know!
    13·2 answers
  • Mark has a container in the shape of a cube. He uses 64 cubes with sides lengths of 1 inch to completely fill the container.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!