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3 years ago

What are the laws of exponents

Mathematics

2 answers:

Kitty [74]3 years ago

4 0

Answer:

One rule to remember that everyone forgets is, multiply the base number as many times as what the exponent is. So for example, 3² is not 3 x 2 = 6, it's 3 x 3 = 9. Hope that makes sense! :)

Step-by-step explanation:

mafiozo [28]3 years ago

3 0

The exponent of a number says how many times to use the number in multiplication.

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Solve for x. 5(3x + 9) = - 135

tekilochka [14]

Answer:

x=-12

tha last one

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4 years ago

Read 2 more answers

Frank purchased a new ice box having 2kg capacity. He wants it to be full with ice cubes. He measured the ice cubes to be 3.5 cm

salantis [7]

Answer:

Frank can put 5 cubes in the box.

Step-by-step explanation:

Formula:

Mass = Volume × density.

1 cubic centimetre = 0.001 liter= 1 millilitre

Given that,

Frank purchase a new ice box having 2 kg capacity.

So,the mass of the cubes is 2 kg.

Each ice cubes measured 3.5 cm by 3.5 cm by 3.5 cm.

The volume of a cube is = $Side ^3$

The volume of a each ice cubes is = $3.5^3$ cm³

= 42.875 ml

The ice cubes have a density of 0.914 g/ml

The mass of each cubes are

=volume of each ice cubes × density

=42.875 ml ×0.914 g/ml

=39.18775 gram.

Let x number of ice cubes he can put in the box.

The mass of x cubes is = 39.18775x grams.

2 kg= 2,000 gram [ since 1 kg= 1000 gram]

According to the problem,

39.18775x=2,000

$\Rightarrow x=\frac{2000}{39.18775}$

$\Rightarrow x\approx 51$

Frank can put 5 cubes in the box.

5 0

4 years ago

Compare the scores: a score of 75 on a test with a mean of 65 and a standard deviation of 8 and a score of 75 on a test with a m

LiRa [457]

Answer:

The Zscore for both test is the same

Step-by-step explanation:

Given that :

TEST 1:

score (x) = 75

Mean (m) = 65

Standard deviation (s) = 8

TEST 2:

score (x) = 75

Mean (m) = 70

Standard deviation (s) = 4

USING the relation to obtain the standardized score :

Zscore = (x - m) / s

TEST 1:

Zscore = (75 - 65) / 8

Zscore = 10/8

Zscore = 1.25

TEST 2:

Zscore = (75 - 70) / 4

Zscore = 5/4

Zscore = 1.25

The standardized score for both test is the same.

7 0

3 years ago

If x = 10 and the area of the rectangle is 120, what is the length of the other side?

sweet [91]

Answer:

Step-by-step explanation:

to find area you do length times width. if we have one side we have to find what 120/10 is. that is 12. 10 x 12 is 120.

6 0

3 years ago

In 1960, the population of a town was 14 thousand people. Over the course of the next 50 years, the town grew at a rate of 30 pe

andre [41]

SOLUTIONS

Given: Assume y is the population

$\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}$

The town grow at the rate of 30 people per year.

$y=kt+14000$ $y=30t+14000$

(A) The population predicted to be in 2030 will be

$\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}$

(B) so when y = 15000, find t

$\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}$

3 0

1 year ago