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3 years ago

Please help. i have 2 questions.

Mathematics

1 answer:

zmey [24]3 years ago

6 0

Hello!

We can first find the volumes

The ratio is 4:17

We can have one shape have all 4's and the other have all 17's

We can do it with a rectangular prism

The equation to find the volume of a rectangular prism is lwh

l is length
w is width
h is height

Put in the values

Shape 1

4 * 4 * 4 = 64

Shape 2

17 * 17 * 17 = 1734

The answer with these numbers is C so the answer is C
-----------------------------------------------------------------------------------------------------------------------
Part 2

V = k x^3
A = c x^2

The larger shape - xb^3 = 1331/k
The smaller shape - xs^3 = 216/k

This can also be written as

(1331/216)^1/3 = 1.8333...

(1331^2/216^2)^1/3 = 3.361111

484/3.36111 = 144

The answer is C

Hope this helps!

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Answer:

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Step-by-step explanation:

Start by using P.E.M.D.A.S.

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4 years ago

Given that one foot is approximately equal to 0.3048 meters, covert the stadium area of 3 million square feet to square meters.

malfutka [58]

The stadium area is 278,709 meters squared.

If 1 ft = 0.3048 meters 
1square feet = 0.3048 x 0.3048 = 0.09290304 square meter. 

Then 3,000,000 square feet x 0.09290304 sq. m = 278,709.12

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4 years ago

If f(x) = 2x - 8 and g(x) = x4, what is (gºf)(5)?

Readme [11.4K]

Answer:

(g°f)x =16 when x = 5

Step-by-step explanation:

It might be easier to understand if you wrote this the other acceptable way.

g(x) = x^4

f(x) = 2x - 8

g(f(x)) means that in g(x) wherever you see and x you put f(x)

g(f(x)) = (f(x) ) ^ 4 Now put in the general value for f(x)

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You really don't want to expand this (although it would give you the right answer eventually).

g(2*5 - 8) = (2 * 5 - 8)^4

g(2*5 - 8) = (10 - 8)^4

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3 years ago

How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in temperatures from 20°F to 45°F

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Answer:

a) Sample Mean = 79.4

Sample standard deviation = 30.62

b) 90% Confidence interval: (67.56 ,91.24)

Step-by-step explanation:

We are given the following in the question:

Prices for sleeping bags has an approximately normal distribution.

We are given the following sample:

35, 85, 105, 40, 100, 50, 30, 23, 100, 110, 105, 95, 105, 60, 110, 120, 95, 90, 60, 70

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1588}{20} = 79.4$

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$S.D = \sqrt{\displaystyle\frac{17816.8}{19}} = 30.62$