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Genrish500 [490]
3 years ago
12

Simplify to the extent possible (logx16)(log2x)

Mathematics
1 answer:
sasho [114]3 years ago
7 0

Answer:

{ \tt{ = ( log_{x}16)( log_{2}x) }}

Change base x to base 2:

{ \tt{ =  (\frac{ log_{2}16}{ log_{2}x } )( log_{2}x)}} \\  \\ { \tt{ =  log_{2}(16) }} \\  = { \tt{ log_{2}(2) }} {}^{4}  \\  = { \tt{4 log_{2}(2) }} \\  = { \tt{4}}

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6) There are many cylinders with a height of 4 inches.
diamong [38]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

height of cylinder h = 4 inches

Given the table

Radius          Volume

1                     ___

2                    ___

3                    ___

Determining the Volume of the cylinder when r = 1 inch and h = 4 inches

Given

h = 4 inches

r = 1 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(1)²×(4)

V = 3.14 × 1 × 4

V = 12.56

V ≈ 13  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 1 inch will be:

V ≈ 13 cubic inches (nearest cubic inch)

Determining the Volume of the cylinder when r = 2 inches and h = 4 inches

Given

h = 4 inches

r = 2 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(2)²×(4)

V = 3.14 × 4 × 4

V = 50.24

V ≈ 50  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 2 inches will be:

V ≈ 50 cubic inches (nearest cubic inch)

Determining the Volume of the cylinder when r = 3 inches and h = 4 inches

Given

h = 4 inches

r = 3 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(3)²×(4)

V = 3.14 × 9 × 4

V = 113.04

V ≈ 113  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 3 inches will be:

V ≈ 113 cubic inches (nearest cubic inch)

Therefore, we complete the table conclude such as:

Radius          Volume

1                     13

2                    50

3                    113

5 0
3 years ago
Please help me with this question!!!!!! PLEASE.
DerKrebs [107]

Answer:

B. -9, 7

Step-by-step explanation:

For the rational expression to be undefined the denominator has to equal 0.

x² + 2x - 63 = 0

Factor left side.

(x - 7)(x + 9) = 0

Set factors equal to 0.

x - 7 = 0

x = 7

x + 9 = 0

x = -9

x = -9 or x = 7

8 0
3 years ago
Read 2 more answers
How do you write 3 cubed
Varvara68 [4.7K]
3×3×3=27
3^3=27
3 Cubedis when you multiply 3 by 3 by 3, or in another words 3 by 3 times.
I hope this helped.
3 0
3 years ago
I don't understand the concept of how to fine the answer ??
igor_vitrenko [27]
You need to find out how many pints are in 2,4,6,8 quarts. by the way 1 quart equals 2 pints. so to start you off. 2 quarts would be 4 pints and so on
4 0
3 years ago
Write the following equation in slope intercept form. y – 3 = -2 (x -5)
Phantasy [73]
This equation is currently in Point Slope Form. You can easily convert this form to Y Slope Intercept by following these steps.

Add 3 to both sides.

y = -2(x-2)

Simplify.

y = -2x + 4
5 0
3 years ago
Read 2 more answers
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