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eduard
3 years ago
11

On a number line, show all values of x for which… |x |< 1

Mathematics
1 answer:
aleksley [76]3 years ago
4 0

Answer:

See attachment

Step-by-step explanation:

We want to show all values of x, for

|x| \: < \:  1

on the number line.

By the definition of absolute value function:

- x \:  <  \: 1 \: or \: x \:  <  \: 1

Divide through the first inequality by -1 and reverse the sign.

x \:   >  \:  - 1 \: or \: x \:  <  \: 1

On the number line, we can represent this as shown in attachment.

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The diameter of a cylindrical construction pipe is 6 ft. If the pipe is 26 ft long, what is its volume?
Mandarinka [93]

Answer:

Step-by-step explanation:

First find the area of the circular base. The diameter is 6, so the radius is 3.

A circle is pi r square, so it is 3.14 x 3^2, = 28.26

Multiply that by the length 28.26 x 26 = 734.76, which rounds to 735 cubic feet.

5 0
2 years ago
How do I do any of this?!
evablogger [386]
U should get the app "photomath" it will help u out alot!!!
7 0
2 years ago
Evaluate 5x – 2y + (7x – y) for x = 7 and y = –2
Lynna [10]

Answer:

90

Step-by-step explanation:

5x – 2y + (7x – y)

Combine like terms

12x -3y

Let x = 7 and y = -2

12(7) -3(-2)

84 +6

90

6 0
2 years ago
Read 2 more answers
A ball is thrown from an initial height of 4 feet with an initial upward velocity of 17ft/s. The ball's height h (in feet) after
iVinArrow [24]
Use quadratic formula 
8= 4 +17t -16t^2
16t^2 - 17 t + 4
answers (17 + square root (33)) /32 and  (17 - square root (33)) /32
4 0
3 years ago
A man starts at a point A and walks 18 feet north. He then turns and walks due east at 18 feet per second. If a searchlight plac
34kurt

Answer:

1/10 per sec

Step-by-step explanation:

When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent

tanΘ = x/18

Taking the derivative with respect to time

sec²Θ dΘ/dt = 1/18 dx/dt.

He's walking at a rate of 18 ft/sec, so dx/dt = 18.

After 3seconds,

Speed = distance/time

18ft/sec =distance/3secs

x = 18 ft/sec (3 sec)

= 54ft. At this moment

tanΘ = 54/18

= 3

sec²Θ = 1 + tan²Θ

1 + 3² = 1+9

= 10

So at this moment

10 dΘ/dt = (1/18ft) 18 ft/sec = 1

10dΘ/dt = 1

dΘ/dt = 1/10 per sec

8 0
2 years ago
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