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
Nikolay [14]
3 years ago
11

Rewrite with positive exponents a^-3 b^-5

Mathematics
1 answer:
amm18123 years ago
6 0

Answer:

1/a^3 and 1/b^5

You might be interested in
The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x , where x is his monthly income. f^-1x . The
Katena32 [7]
<span>1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most 

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

 </span>f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)<span>


2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

</span>y=15,000+1.5x
<span>
1.5x = y-15,000


</span>x= \frac{y-15,000}{1.5}
<span>
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:

</span>x=g(y)=\frac{y-15,000}{1.5}

since we generally use the letter x for the variable of a function, we write g again as:

g(x)=\frac{x-15,000}{1.5}
<span>
for example :

</span>g(50,000)=\frac{50,000-15,000}{1.5}= \frac{35,000}{1.5}= 23,333
<span>
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is 

</span>g(60,000)=\frac{60,000-15,000}{1.5}= \frac{45,000}{1.5}=30,000<span>
 dollars.


Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation </span>f ^{-1}(x)<span>



</span>
6 0
3 years ago
What is the sum of 10+20?
julsineya [31]

Answer: 10+20=30

Step-by-step explanation:

6 0
3 years ago
Can someone explain how to get the answer, please? Thanks!
Irina18 [472]
The mean is 10,

The median is 10,

And there is no mode.



The mean of a set of numbers is the sum divided by the number of terms,

7+15+12+6+10=50

There are 5 numbers in the set,

50/5=10.
10 is the mean.



Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers,

6, 7, 10, 12, 15,

10 is in the middle so it is the median.



The mode is the element that occurs most in the data set. In this case, all elements occur only once, so there is no mode.




Just so you don’t confuse the data with the group sets,

The actual data set is 7, 15, 12, 6, and 10

This data paired with score column or group set means that,

10 people got a score of 1-10
6 people got a score of 11-20
12 people got a score of 21-30
15 people got a score of 31-40
And 7 people got a score of 41-50 :)
4 0
2 years ago
The number of square feet per house are normally distributed with a population standard deviation of 137 square feet and an unkn
pshichka [43]

Answer:

Step-by-step explanation:

Given that X, the number of square feet per house is N(mean, 137)

Sample size = 19

Sample mean x bar =1350 sq ft

Since population std dev is given,

std error of sample = \frac{137}{\sqrt{19} } \\=31.43

Since sample size is small, t critical value can be used

df = 18

t value for 80% two tailed = 1.333

Margin of error = ±1.333(std error) = ±1.333*31.43\\=41.896

Confidence interval = sample mean ±margin of error

= 1350-41.896,1350+41.896\\=(1308.104,1391.896)

7 0
3 years ago
Number sense $250/10
Tanya [424]

Answer:

$25

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Plzzz answer Parts A B and C for BRILLIANT answer
    7·1 answer
  • ) order of operation (11 x 3 + 2²)- 5
    14·2 answers
  • Factor completely 16x^2-81
    13·1 answer
  • PLEASEE HELPPP MEE!!<br> what is the measure of angle 2?
    11·1 answer
  • Someone please help with this
    13·1 answer
  • Math Help!!
    6·1 answer
  • See if you can answer this :DD 9-16/2^3*4-7
    9·1 answer
  • A snail crawled 2/5 of a centimeter in 2 minutes. How fast did the snail crawl?
    12·1 answer
  • Solve for the value of x by applying the definitions of complementary and supplementary angles.
    14·1 answer
  • Please help me asap.​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!