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timofeeve [1]
3 years ago
14

Please Help me !!!!!!!!!!! X=

Mathematics
1 answer:
Alex787 [66]3 years ago
8 0
Try x = 65
Look at my image
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Please Help! Are F(x) and G(x) inverse functions across the domain [3,+∞)?
allochka39001 [22]

Answer:

A

Explanation:

For functions to be inverse, it must be true that f( g(x) ) = x and g( f(x) ) = x.

But for F( G(x) ), we have √( G(x) - 3 ) + 8

= √( (x+8)² - 3 - 3 ) + 8

= √( (x+8)² - 6 ) + 8

This -6 part should be cancelled out for functions to work out but we cannot do that, therefore F(x) and G(x) are not inverse.

5 0
3 years ago
Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP​
-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$\Rightarrow \frac{h}{2}=r

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

  $\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3 (formula)

$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3

$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3

Hence it is true.

Option A, option C and option E are true.

6 0
3 years ago
Read 2 more answers
HELP NEED ASAP!!!!!!
Sunny_sXe [5.5K]

Answer:

the answer is a

Step-by-step explanation:

the answer is a the answer is a the answer is a

5 0
3 years ago
Harold has been hired as a salesman. He is paid a flat rate of $375 each week and earns an additional $14.25 commission for each
Andru [333]
The answer is
c. \: y = 14.25h + 375
5 0
3 years ago
Can someone help me with this question if two figures are similar but not congruent, how are they alike, and how are they differ
kenny6666 [7]
Two figures are similar if they have the same shape but not necessarily the same size although they are the same shape they are different sizes
3 0
3 years ago
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