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2 years ago

8

A spinner has 13 equal-sized sections marked 1 through 13. Find the probability. Enter your answer as a simplified fraction. You

spin once and land on an odd number. The probability that you land on an odd number is

1 answer:

grin007 [14]2 years ago

5 0

Answer:

7/13

Step-by-step explanation:

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The volume of a rectangular prism (shown below) is 48x^3+56x^2+16x Answer the following questions:

pickupchik [31]

Answer:

(a)

$Length = 8x\\Width = 3x + 2\\Height = 2x + 1$

(b)

$P(2) = 640$

(c)

$Length= 16$

$Width = 8$

$Height =5$

(d)

$Volume = 640$

Step-by-step explanation:

Given

$P(x) = 48x^3 + 56x^2 + 16x$

Solving (a): The prism dimension

We have:

$P(x) = 48x^3 + 56x^2 + 16x$

Factor out 8x

$P(x) = 8x(6x^2 + 7x + 2)$

Expand 7x

$P(x) = 8x(6x^2 + 4x + 3x + 2)$

Factorize

$P(x) = 8x(2x(3x + 2) +1( 3x + 2))$

Factor out 3x + 2

$P(x) = 8x(3x + 2)(2x + 1)$

So, the dimensions are:

$Length = 8x\\Width = 3x + 2\\Height = 2x + 1$

Solving (b): The volume when $x = 2$

We have:

$P(x) = 48x^3 + 56x^2 + 16x$

$P(2) = 48 * 2^3 + 56 * 2^2 + 16 * 2$

$P(2) = 640$

Solving (c): The dimensions when $x = 2$

We have:

$Length = 8x\\Width = 3x + 2\\Height = 2x + 1$

Substitute 2 for x

$Length=8*2$

$Length= 16$

$Width = 3*2+2$

$Width = 8$

$Height = 2*2 + 1$

$Height =5$

So, we have:

$Length= 16$

$Width = 8$

$Height =5$

Solving (d), the volume in (c)

We have:

$Volume = Length * Width * Height$

$Volume = 16 * 8 * 5$

$Volume = 640$

8 0

2 years ago

If Y is directly proportional to X² and y=21 when x=2, find the value of y when X=4.

frozen [14]

The value of y will probably be 4.

7 0

2 years ago

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Simplify this but also what is the thing in yellow called? <br><br>

JulsSmile [24]

Answer:

the yellow thing is called a radical and the answer is 7.07 or 5√2 in radical form

Step-by-step explanation:

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1 year ago

If Angle A= (3x+5) and Angle B= (x+15), find the measure of each<br> angle.

STALIN [3.7K]

Answer:

$here \: < a \: and \: < b \: are \: on \: same \: line \: so \: \\ < a + < b = 180 \\ 3x + 5 + x + 15 = 180 \\ 4x + 20 = 180 \\ 4x = 180 - 20 \\ 4x = 160 \\ x = \frac{160}{4} = 40 \\ x = 40 \\ thank \: you$

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2 years ago

Y = 14x + -10<br> y = 7x +-3

vfiekz [6]

Answer:

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Step-by-step explanation:

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3 years ago