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skelet666 [1.2K]
3 years ago
14

Is it equally likely to steal second base during a baseball game?

Mathematics
1 answer:
irakobra [83]3 years ago
8 0
Yes it is because of the chimney
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Find 3x-y-3z x=-2 y=1 and z=-2
mrs_skeptik [129]
Just fill in the problem... 3*-2-1-3*-2
8 0
3 years ago
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Type the correct answer in each box. (____)
trapecia [35]

Answer:

1. -16; 2. +64; 3. 16

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²x

Data:

r = (x - 8)   mm

V = 1024π mm³

Calculations:

1. Find the cubic equation  

V = πr²h

1024π = π(x - 8)² × x

Divide each side by π

1024 = x(x - 8)²  

1024 = x(x² - 16x  + 64)

1024 =    x³ - 16x² + 64x

x³ - 16x² + 64x - 1024 = 0

2. Solve the cubic equation

The general formula for a third-degree polynomial is

f(x) = ax³ + bx² + cx + d

Your polynomial is  

f(x) = x³ - 16x² + 64x - 1024

a = 1; d = -1024

According to the <em>rational roots theorem</em>, the possible roots are

factors of d/factors of a

Factors of d = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

Factors of a = ±1

Potential roots are x = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

That's a lot of possibilities to check by trial and error. I will just use the one that works.

Try x = 16 by synthetic division.

16|1  -16   64  -1024

  <u>|     16     0   1024 </u>

   1     0   64        0

So,

(x³ - 16x² + 64x - 1024)/(x – 16) = x² + 64

and

(x - 16)(x² + 64) = 0

x - 16 = 0        x² + 64 =    0

     x = 16       x²         = -64

                       x          =  ±8i

There is only one real root: x = 16 mm

6 0
3 years ago
A coordinate plane. A line goes through the point (6,–2) and has a slope of –3. What is the value of a if the point (a,7) lies o
LenKa [72]

Step-by-step explanation:

it would be one

6 0
3 years ago
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An object is moving at a speed of 920 yards every 3.5 hours Express the speed in miles per week
Kaylis [27]

Answer:

25.05 miles per week

Step-by-step explanation:

We know that,

1 mile = 1760 yards

⇒ 920 yards = 0.522 mile

1 week = 168 hour

We need to find ts speed in miles per week.

Speed = distance/time

v=\dfrac{920\ \text{yards}}\\\\v=\dfrac{0.522\ \text{miles}}{\dfrac{3.5}{168}\ \text{week}}\\\\v=25.05\ \text{miles/week}

So, the speed of the object is 25.05 miles per week.

6 0
3 years ago
Help me plz. Plz be right :)
Minchanka [31]
A = 1/2 * b * h
b = 14
h = 12

A = 1/2 * 14 * 12
A = 7 * 12 = 84 mm^2
6 0
3 years ago
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