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3 years ago

Simplify the following

Mathematics

2 answers:

ValentinkaMS [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Simplify

(5 1/3)^3=?

Solution:

Using Identity

(x^a)^b=x ^(a*b)

So in the given expression

x=5

a=1/3

b=3

Therefore,

(5 1/3)^3= 5 (1/3*3)= 5^1=5

Therefore,

(5 1/3)^3=5

irakobra [83]3 years ago

4 0

Answer:

Step-by-step explanation:

5 to the power of (1/3) = ∛5

(∛5) cubed would be 5 because the cube is essentially undoing the cube root.

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The owner of an electronics store received a shipment of MP3 players at a cost of $64.25 each. If he sells the MP3 players for $

Lostsunrise [7]

99.99 - 64.25= 35.74
35.74/64.25= 0.556=55.6% or 56% rounded

4 0

4 years ago

50 POINTS!!

balandron [24]

1200 / 5 = 240
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6 0

3 years ago

Read 2 more answers

If you can mow 90 lawns in 45 hours, how long will it take to mow 12?

Alex777 [14]

<h3>Answer: 6 hours</h3>

Work Shown:

(90 lawns)/(45 hours) = (12 lawns)/(x hours)

90/45 = 12/x

2 = 12/x

2x = 12

x = 12/2

x = 6

It takes 6 hours to mow 12 lawns.

5 0

2 years ago

What is the arc length when theta=2 pi/5 and the radius is 6 cm

Crank

Answer:

The length of the arc is 7.536cm

Step-by-step explanation:

To solve this problem we need to use the circumferenc formula of a circle:

c = circumference

r = radius = 6cm

π = 3.14

c = 2π * r

we replace with the known values

c = 2 * 3.14 * 6cm

c = 37.68cm

The length of the circumference is 37.68cm

Now we calculate the fraction that corresponds to this arc with the rest of the circumference

(2 pi /5) / (2pi) = 1/5

now we multiply the circumference by the fraction

37.68cm * 1/5 = 7.536cm

The length of the arc is 7.536cm

7 0

3 years ago

You can see how many standard deviations a score is from the mean of the distribution for a raw score or a z-score is by looking

Semmy [17]

Answer:

True

Step-by-step explanation:

Z-score may be defined as a position of the raw score in regard to the distance from its mean when it is measured in the units of standard deviation. Z-score is considered as positive, when the values is above the mean. And when it is below the mean, it is considered as negative.

Another name of a z-score is standard score. Z-score can be measured using the relation :

$z=\frac{x-\mu}{\sigma}$

where, z = z-score

x = raw score

μ = population mean

σ = population standard deviation

Thus from the formula we can see how many standard deviation the score is from a men of the distribution by looking at the corresponding z-score.

7 0

3 years ago