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
Anit [1.1K]
3 years ago
15

write a power represented with a positive base and a positive exponent whose value is less than the base

Mathematics
1 answer:
Blababa [14]3 years ago
3 0
You mean situation, when  a^b < a. 
There are two ways:
a^b < a^1 \\ b
But exponent function a^b has to be increasing so a>1 
So first solution:  a>1 and 0<b<1.  Examples:
5^{\frac{1}{2}} < 5 \\ 120^{\frac{1}{12}} < 120

and second way:
a^b < a^1 \\ b>1
Exponent function a^b has to be decreasing, so  0<a<1  
Second solution:  a<1 and b>1. Examples:
\left(\dfrac{1}{2}\right)^{12} < \dfrac{1}{2} \\ \\ \left(\dfrac{12}{39}\right)^{16\frac{1}{2}} < \dfrac{12}{39}
You might be interested in
A) A shopkeeper marked the price of an article a certain percent above the cost price and
Afina-wow [57]

Answer:

25%

Step-by-step explanation:

customer paid = 9492

less vat (13%) .net =8400

discount =16%==marked price = 8400X 100/84==10,000

profit on sale =5% .  cost :=8000

% on cost   (2000/ 8000) X100 =25%

3 0
3 years ago
Solve using the pathagorean theorem​
REY [17]

Answer:

b=45^1/2

Step-by-step explanation:

a^2+b^2=c^2\\6^2+b^2=9^2\\b^2=81-36\\b^2=45\\b=\sqrt{45}

4 0
2 years ago
A man has 1 coins in his pocket, all of which are dimes and quarters. Aif the total value of his change is $2.75, how many dimes
VLD [36.1K]

Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: number of dimes in his pocket.
  • Variable y: number of quarters in his pocket.

He has a total of 14 coins, hence:

x + y = 14 -> y = 14 - x.

They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:

0.1x + 0.25y = 2.75

Since y = 14 - x:

0.1x + 0.25(14 - x) = 2.75

x = (0.25*14 - 2.75)/0.15.

x = 5.

y = 14 - x = 14 - 5 = 9.

There are 5 dimes and 9 quarters in his pocket.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0
2 years ago
C) Write another name for 25. -
EastWind [94]

Answer:

Twenty five

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
1. A 2012 survey conducted by the local paper in Columbus, Ohio one week before Election Day
mash [69]

Answer:

The description again for the problem is listed throughout the section below on explanations.

Step-by-step explanation:

A 2012 survey conducted a week since Voting day because the local paper in Columbus asked voters whatever individual they might vote for the state attorney. 37% of respondents said that they'd vote for both the dem candidate. In reality, 41 percent voted for both the Democratic nominee on Elections Day.

The 37% is supported by a survey as well as being a factual estimate. The sample proportion is denoted by "P". Therefore,

⇒  P = 0.37

The specific proportion becomes supplied as a factor of 41% = 0.41. Since the importance of proportion is real.  The proportion of community is represented as p or π

Hence p = 0.41.

4 0
3 years ago
Other questions:
  • steven and jaden are solving b is either of them correct? explain your reasoning and in complete sentences.
    15·1 answer
  • Consider the function f(x)=-2/3x +5 <br> what is f(-6) <br> enter your answer in the box <br> f(-6)=
    13·1 answer
  • Double-Angle and Half-Angle Identiies [See Attachment] Question 5
    5·1 answer
  • The formula for depreciation is V=P(1-r)t where P is the beginning price of the asset, r is the annual rate of depreciation writ
    12·1 answer
  • The table shows the height of a flower as it grows. What equation in slope-intercept form gives the flower's height at any time?
    6·2 answers
  • Find the product. Write your answer in<br> exponential form.<br> 2²x 2^9
    10·2 answers
  • What is Graph the line y=-8
    8·1 answer
  • Complete the pattern<br> 5, 10, 30, 60, 180, _____?????
    7·2 answers
  • A company plans to build a wheelchair ramp with the following
    9·1 answer
  • Find the equation of a line that passes through (2,9) and is parallel to the graph of y=3x+5 Write the equation in​ slope-interc
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!