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4 years ago

HELP beautiful people that know how to do these problems <3

Mathematics

1 answer:

kenny6666 [7]4 years ago

8 0

The answers are:

1. $4 + b$

2. $8(x + 3)$

3. $25 + 1.5d$

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3 years ago

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the area of the curved surface of a solid cylinder is equal to 2/3 of the total area of the same cylinder . If the total surface

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3 years ago

Rand has 10 points. Randy has 8 points. how many more does Rand have than Randy?

Harlamova29_29 [7]

Answer:

2 more than Randy.

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4 years ago

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A smart phone manufacturer wants to determine the average battery time that it’s new smart phone will get. The manufacturer will

sasho [114]

Answer:

Note: <em>The full question is attached as picture below</em>

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1. The manufacturer is taking a sample of her friends, which is most convenient to sample - Convenience sampling

2. The whole population is divided into different groups (strata) and random samples are drawn from each group - Stratified sampling

3. The population is divided into different clusters (here, communities) and whole clusters are surveyed - Cluster sampling

4. The samples are drawn at a fixed interval from the population list - Systematic sampling

5. The samples are randomly drawn from the population - Simple random sampling

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3 years ago

An open box is to be made out of a 12-inch by 20-inch piece of cardboard by cutting out squares of equal size from the four corn

Natali5045456 [20]

Answer:

Length = 15.14, width = 7.14 and height = 2.43 inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24, this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative value ( -49.7) so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

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3 years ago