why do whole numbers raised to an exponent get greater while fractions raised to an exponent get smaller?
Answers
whole things several times, you wind up with more things.
A [proper] fraction is a piece of a whole thing. When you take a piece of
the piece, you wind up with less of the whole thing.
(By the way ... your question and this whole answer are only true
when the exponent is greater than 1, and I haven't completely
figured out the rule for negative exponents yet.)
Related Questions
A NEED HELP WORTH 53 POINTS
If you take out an online payday loan for $1000, and the annual percentage rate is 300%, how much would you owe in one year? How much would you owe in just pay period (two weeks)?Some please help me with this Answer..
From midnight to 6:00 am, the temperature rose 8 degrees C. At 6:00 am, the temperature was -20 degrees C. What was the temperature at midnight?
How do you factorise 9y^2 - 64
Answers
Check:
=
=
=
=
=
=-3
Answers
The solution to the inequality 3b - 7 < 32 is b < 13.
To solve the inequality 3b - 7 < 32, we can isolate the variable b.
Let's add 7 to both sides of the inequality:
3b - 7 + 7 < 32 + 7
Simplifying:
3b < 39
Now, divide both sides of the inequality by 3:
(3b)/3 < 39/3
Simplifying further:
b < 13
Therefore, the solution to the inequality 3b - 7 < 32 is b < 13.
To learn more on Inequalities click:
#SPJ6
Answers
To determine the theoretical probabilities, we'll analyze the different possible outcomes for each case.
Total number of cards = 40 (5 cards for each number from 2 to 9)
a) Sum is 12:
There are several combinations of cards that can result in a sum of 12:
- 3 and 9
- 4 and 8
- 5 and 7
- 7 and 5
- 8 and 4
- 9 and 3
Total favorable outcomes = 6 (since there are 6 possible combinations)
Total possible outcomes (since you're drawing two cards) = 40 * 40 = 1600
Probability (sum is 12) = (Number of favorable outcomes) / (Total possible outcomes)
Probability (sum is 12) = 6 / 1600 = 0.00375
b) Difference is less than 5:
There are several combinations of cards that can result in a difference less than 5:
- 2 and 3
- 3 and 2
- 3 and 4
- 4 and 3
- 4 and 5
- 5 and 4
- 5 and 6
- 6 and 5
- 6 and 7
- 7 and 6
- 7 and 8
- 8 and 7
- 8 and 9
- 9 and 8
Total favorable outcomes = 14
Total possible outcomes = 1600
Probability (difference is less than 5) = 14 / 1600 = 0.00875
c) Product is odd:
For the product to be odd, one or both of the numbers drawn must be odd. Since there are five odd numbers (3, 5, 7, 7, 9), and each number has five cards, the total number of favorable outcomes is 5 + 5 + 5 + 5 + 5 = 25.
Total possible outcomes = 1600
Probability (product is odd) = 25 / 1600 = 0.015625
To summarize:
- a) Probability (sum is 12) ≈ 0.00375
- b) Probability (difference is less than 5) ≈ 0.00875
- c) Probability (product is odd) ≈ 0.015625
Write an equation for the line in slope-intercept form.
Answers
Answer:
y = –3x – 6
Step-by-step explanation:
We'll begin by obtaining the slope of the equation y = –3x – 2.
This can be obtained by comparing
y = –3x – 2 with y = mx + c
Thus, the slope (m) of the equation
y = –3x – 2 is –3.
Next, we shall determine the slope of the equation parallel to line with equation y = –3x – 2.
This is illustrated below:
For parallel lines, the slope are related as follow:
m1 = m2
m1 = –3
m2 = m1 = –3.
Finally, we shall determine the equation as follow:
Coordinate = (–3, –3)
x1 coordinate = –3
y1 coordinate = –3
Slope (m) = –3
y –y1 = m(x – x1)
y – (–3) = –3 (x – (–3))
y + 3 = –3 (x + 3)
y + 3 = –3x – 3
Rearrange
y = –3x – 3 – 3
y = –3x – 6
Thus, the equation parallel to the line is y = –3x – 6
Answers
Answer:
1 and 4
Step-by-step explanation:
ANSWER
first is the geometric series
EXPLANATION
a geometric series is a sequence of numbers whose first term is non zero and each of the succeeding terms is equal to the Prcedding term multiply by a constant number.
if a = first term
and constant number = d
then
GP is given by
a,a r , a r^2 ,a r^3 .............and so on
in first
a = 1/2
and d = 1/2
and hence it is an GP
B : 2.5 g
C : 2.5 kg