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Kaylis [27]
3 years ago
15

why do whole numbers get raised to an exponent get greater, while fractions raised to an exponent get smaller

Mathematics
2 answers:
11111nata11111 [884]3 years ago
8 0
Actually, not all fractions when raised to an exponent get smaller.  For example, \frac{3}{2}^2=\frac{9}{4}.  9/4 is bigger than 3/2, so this fraction gets bigger when raised to an exponent.

In reality, positive numbers less than one decrease when raised to an exponent, and numbers greater than one increase. Multiplying a positive number by any number greater than one increases it's value, and multiplying it by any number less than one decreases it's value.  For numbers less than one, taking the exponent involves multiplying it by a number less than one, thus decreasing it, and for numbers greater than one, taking the exponent involves multiplying it by a number greater than one, thus increasing it.
KATRIN_1 [288]3 years ago
5 0

Because a whole number raised to a power means

                     several times several ,

but a fraction raised to a power means

                       a piece of a piece .

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What is the length of the apothem of a regular hexagon with 10-cm sides?
vodka [1.7K]

Answer:

The length of apothem of given hexagon is 8.66 cm

Step-by-step explanation:

Apothem of a polygon is given by:

apothem = \frac{s}{2\ tan\ (\frac{180}{n})}

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

s = 10cm\\n = 6

Putting the values in the formula

apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm

Hence,

The length of apothem of given hexagon is 8.66 cm

6 0
3 years ago
Tell whether the statement is true or false.<br>{ {4, 16, 24, 7, 37} = (37, 16, 7,42,4}​
nikklg [1K]

Answer:

false

Step-by-step explanation:

i dont understand kinda

but if you add it,

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so false

8 0
3 years ago
Solve the formula D=a+b−c for b in general.
kari74 [83]

Answer:

b = c - a - D

Step-by-step explanation:

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3 0
3 years ago
What is the answer to (z+1)(z+2)
stich3 [128]

Answer:

z^1+3z+2

Step-by-step explanation:

(z+1)(z+1)

Multiply each term in the first parenthesis by each term in the second parenthesis

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Calculate the product

<u>z</u>^2 +2z+z+2

collect like terms

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2z+z

If a term doesnt have a coefficient it is considered that the coefficient is 1

2z+1z

(2+1)z

(2+1)z

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4 0
3 years ago
Read 2 more answers
Cobert 5 feet to to meters to the nearest hundredths place​
Brums [2.3K]
1.5 meters

There is 30 cm in a foot and 5 feet times 30 is 150. There is 100 cm in a meter so 150/100 is 1.5 meters.
6 0
3 years ago
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