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3 years ago

8^1/3 or how to do it with any fractions

Mathematics

1 answer:

ahrayia [7]3 years ago

8 0

Answer:

Step-by-step explanation:

When given a fractional power, you want to try to see if the base has any power that can be used to simplify the power.

Since a^b/c =

$\sqrt[b]{ {a}^{c} }$

8^1/3=

$\sqrt[3]{ {8}^{1} }$

8 times by it self it 8

cube root of 8 is three numbers that are the same and times by each other to give 8

2×2×2=8

》2

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What is the value of (0.6)^3 ?

Liono4ka [1.6K]

Answer:

0.216

Step-by-step explanation:

it's basically 0.6*0.6*0.6, not much to it

4 0

2 years ago

Please answer ASAP question is in pic^

vlada-n [284]

Answer:

Step-by-step explanation:

Original equation

√x+6-4 = x

Isolate

√x+6 = 4+x

Raise both sides to the second power

(√x+6)2 = (4+x)2

After squaring

x+6 = x2+8x+16

Rearranged equation

x2 + 7x + 10 = 0

This equation has two rational roots:

{x1, x2}={-2, -5}

Original equation, root isolated

√x+6 = 4+x

Plug in -2 for x

√(-2)+6 = 4+(-2)

Simplify

√4 = 2

Solution checks !!

Solution is:

x = -2

Original equation, root isolated

√x+6 = 4+x

Plug in -5 for x

√(-5)+6 = 4+(-5)

Simplify

√1 = -1

Solution does not check

1 ≠ -1

3 0

2 years ago

An environmental scientist wants to use a 95% confidence interval to estimate the mean number of hours per day her solar panel r

MissTica

Answer:

a) The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

b) The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 48 - 1 = 47

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 47 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.0117

The margin of error is:

M = T*s = 2.0117*2.3 = 4.6

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7.1 - 4.6 = 2.5 hours of sunlight per day

The upper end of the interval is the sample mean added to M. So it is 7.1 + 4.6 = 11.7 hours of sunlight per day

a) Compute the 95% confidence interval for the mean.

The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

b) Explain your confidence interval from part (a) in context.

The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

6 0

3 years ago

An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21,600 Tons. The cars weigh

inysia [295]

Answer:

Number of trucks (y) that can be shipped if the number of cars (x) is known $=\frac{21,600-3.6x}{7.5}$