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Oksana_A [137]
3 years ago
5

Simplify the square root of 4x^6

Mathematics
1 answer:
Wittaler [7]3 years ago
7 0

Answer:

2x^3

Solution

You simplify to the lowest value possible 4x^6

2x^3

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Allen is building bird houses that require 1/2 feet long. How many pieces that are exactly 1/2 feet long can be made from a boar
Varvara68 [4.7K]
There are 2 halfs in 1 and 1/4 can't make a half so the answer is..

16
3 0
3 years ago
A gasoline tank for a certain car is designed to hold 15 gallons of gas. Suppose that the actual capacity of a randomly selected
marta [7]

Answer:

Tanks of 15.3081 gallons and larger are considered too large.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 15, \sigma = 0.15

How large does a tank have to be to be considered too large

largest 2%, so at least the 98th percentile.

The 98th percentile is X when Z = 0.98. So it is X when Z = 2.054.

Z = \frac{X - \mu}{\sigma}

2.054 = \frac{X - 15}{0.15}

X - 15 = 2.054*0.15

X = 15.3081

Tanks of 15.3081 gallons and larger are considered too large.

8 0
3 years ago
Can someone write 3 + x in a words?
SpyIntel [72]

Answer:

three plus x?

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
A car travels 117 miles in 2 and 1/4 hours how fast does the car travel in an hour
OverLord2011 [107]

Answer:

52 miles per hour

Step-by-step explanation:

The speed of the car can be found by dividing the distance by the time. THe distance is 117 miles and the time is 2 1/4 hours or 2.25 hours.

s=\frac{d}{t} \\s=\frac{117}{2.25} \\s= 52

8 0
3 years ago
Write the equation of the conic section satisfying the given conditions. focus at the pole, e = 3/4, horizontal directrix 2 unit
hjlf

Answer:

The equation in the polar form is;

r = \dfrac{6}{4 + 3  \cdot sin(\theta)}

Step-by-step explanation:

 e = 3/4  > 1, we have an hyperbola    

The polar equation of a conic is of the form;

For vertical directrix

r = \dfrac{k \cdot e}{1\pm e \cdot cos (\theta)}

For horizontal directrix

r = \dfrac{k \cdot e}{1\pm e \cdot sin(\theta)}

Where;

k = Distance from the focus to the directrix = 2

We have;

r = \dfrac{2 \cdot \dfrac{3}{4} }{1 + \dfrac{3}{4}  \cdot sin(\theta)}

r = \dfrac{\dfrac{3}{2} }{1 + \dfrac{3}{4}  \cdot sin(\theta)}

Which gives the equation in the polar form as follows;

r = \dfrac{6}{4 + 3  \cdot sin(\theta)}.

8 0
3 years ago
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