<span>Answer:
The multiplication factor of increase should be inverse of the multiplication factor of decrease.
e.g. Say you have a number 100.
You increase it by 25%. The multiplication factor is 5/4 i.e. when you multiply 100 by 5/4, you get 100*5/4 = 125. This is 25% more than 100.
Now you want to decrease it by a certain % such that you get 100 back.
Basically, 100*5/4 * x = 100
So x = 4/5 (inverse of 5/4)
Hence, you decrease by 20% (the multiplication factor of 20% is 4/5)
or
Use this formula: cumulative % change = a + b + ab/100
You want the cumulative change to be 0.
a + b + ab/100 = 0
If you know that you are increasing by 25% and want to find the % by which you should decrease to get the same number,
25 + b + 25b/100 = 0
5b/4 = -25
b = -20
So you need to decrease (hence you get the -ve sign) by 20%.</span>
Answer:
26 * 26^8 = 26^9
Step-by-step explanation:
Here, we want to write 26 * 26^8 in exponential form.
26* 26^8 is same as 26^1 * 26^8
According to the first law of indices, we are going to add the powers together;
Thus, this gives ; 26^(1 + 8) = 26^9
Change the underlined words if it is not correct and write true if it is correct.
<h3>Integers</h3>
<u>1.</u><u> </u><u>P</u><u>ositive</u> integers are not whole numbers.
Negative integers are not whole numbers.
2. All whole numbers are <u>integers</u>.
True
3. <u>Zero</u> is the smallest whole number.
True
4. Any whole number greater than <u>zero</u> is a positive integers.
True
5. Fractions and Decimals are not integer.
6. 1 is a counting number and a positive integers.
True
7. Rational number include all integers , fraction, or terminating decimals.
True
8. Any whole number that is <u>greater</u> than 0 is a negative integers.
- Any whole number that is <u>less</u> than 0 is a negative integers.
Learn more about integers:
brainly.com/question/10853762
From the diagram associated with this question it can be seen that the first bounce was 1 units high, thus the second bounce is 1 / 2 = 0.5 units high and the third bounce is 0.5 / 2 = 0.25 = 1/4 units high.
Given that B represents the second bounce and C represents the first bounce, the <span>fractions in hundredths that should be written at points B is 0.50 while at point C is 0.25</span>
The irrational numbers are: √8, √10 and √15
Step-by-step explanation:
A rational number is a number that can be written in the form p/q where p&q are integers and q≠0.
"All the numbers whose square root is not a whole number and has an infinite number of digits after decimal, are irrational numbers"
So in the given options
Which can be written in the required form so √4 is a rational number
√8 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number
√10 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number
√15 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number
Which can be written in the required form so √36 is a rational number
Hence,
The irrational numbers are: √8, √10 and √15
Keywords: Rational numbers, Irrational numbers
Learn more about rational numbers at:
#LearnwithBrainly
