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2 years ago

How do I solve (2x^3)^4?

2 answers:

8 0

Hello There!

You would have to do work out 2 to the fourth power.
Also, 3 x 4.
The rules of powers are:
If you have to multiply, you add them
If you have to divide, you subtract them
If they are in brackets like this ^^, you multiply them.

Therefore, your answer is $16^{12}$

Hope This Helps You!
Good Luck :)

- Hannah ❤

Anna11 [10]2 years ago

8 0

The answer to your problem is using Multiplication Distributive Property the formula is (x,Y)^a=x^a y^a and you answer is 16x^12 hope this helps

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Explain box and whisker and how does it work?

bezimeni [28]

a box plot is a graph that summarizes numerical data based on quartiles, which divide a data set into fourths

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2 years ago

See the picture below

mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}$

radius is given as 4, so,

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04$

Now, Volume of Cone = $\frac{1}{3}\pi r^2 h$

Where radius is 4 and height is 10, so,

Volume of Cone = $\frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55$

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = $2\pi r^2\\=2\pi (4)^2\\=100.53$

Surface Area of Cone = $\pi r^2+\pi rl$

We dont need to use the first part, $\pi r^2$ since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = $\pi rl\\=\pi (4)(10.77)\\=135.34$

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0

2 years ago

If the office furniture costs $9,900 and it was three times as expensive as the office computer, what was the cost of the comput

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Answer: 3,300

Step-by-step explanation:

9,900÷3

3 0

2 years ago

Read 2 more answers

Recently, TWA reported an on-time arrival rate of 78.4%. Assume that a later random sample of 750 flights results in 630 that ar

WINSTONCH [101]

Answer:

Step-by-step explanation:

1. Null hypothesis: u <= 0.784

Alternative hypothesis: u > 0.784

2. Find the test statistics: z using the one sample proportion test. First we have to find the standard deviation

Using the formula

sd = √[{P (1-P)}/n]

Where P = 0.84 and n = 750

sd =√[{0.84( 1- 0.84)/750]}

sd=√(0.84 (0.16) /750)

SD =√(0.1344/750)

sd = √0.0001792

sd = 0.013

Then using this we can find z

z = (p - P) / sd

z = (0.84-0.784) / 0.013

z =(0.056/0.013)

z = 4.3077

3. Find the p value and use it to make conclusions...

The p value at 0.02 level of significance for a one tailed test with 4.3077 as z score and using a p value calculator is 0.000008254.

4. Conclusions: the results is significant at 0.02 level of significance suck that we can conclude that its on-time arrival rate is now higher than 78.4%.

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3 years ago

What is the slope of this line? A. -1/2 B. 1/2 C. -2 D. 2

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We can find the slope of this line by using the slope formula:

$\frac{y.2 - y.1}{x.2 - x.1} = m$

We'll use the points (-6, 0) and (0, -3)

(-3 - 0) / (0 + 6) = -3/6 = -0.5

The slope of the line is A, -1/2

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2 years ago