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Ad libitum [116K]
4 years ago
5

If F(x) = 5x - 7 and G(x) = {x+13, what is G(F(x))?

Mathematics
1 answer:
devlian [24]4 years ago
7 0

Answer:

option B

Step-by-step explanation:

G(x) = \sqrt{x} +13

F(x)= 5 x-7

G(F(x)) = \sqrt{5x-7} +13

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What is the volume of a square pyramid with base edges 24 feet and slant height 37
-Dominant- [34]

Answer: The volume of pyramid is 6720 ft³

Step-by-step explanation:

Given: Base edge of a square pyramid = 24 feet

Slant height = 37 feet

Therefore height of pyramid is given by

h^2=l^2-\dfrac{1}{2} b^2 where h is height, l is slant height and b is base edge of pyramid

So we have

h^2= 37^2-(\dfrac{1}{2} \times 24)^2= 37^2-12^2=1225 \\\\\Rightarrow h= \sqrt{1225} =35

Height of pyramid is 35 feet

Now the volume of a pyramid is given by

V=b^2\dfrac{h}{3} where V is volume , b is base edge and h is height of pyramid

Therefore

V= (24)^2\dfrac{35}{3} = 6720

Hence , the volume of pyramid is 6720 ft³

7 0
3 years ago
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0)A(2,0)A
const2013 [10]

9514 1404 393

Answer:

  28 square units

Step-by-step explanation:

The rectangle is 7-0 = 7 units high and 6-2 = 4 units wide. Its area is the product of these dimensions:

  A = LW

  A = (7)(4) = 28 . . . square units

3 0
3 years ago
Read 2 more answers
Roberta makes $9 an hour plus a 10.5% commission selling jewelry an hour shift in which she sells $880 worth of jewelry. How muc
timama [110]

Answer:

Roberta earns $164.4 on an 8 hr shift.

Step-by-step explanation:

In one hour  Roberta makes $9

So if she works for 8 hours she will be making

=> ( 9 X 8)$

=>72$

Also she earns a commission of 10.5% on selling a jewellery  worth $880

So 10.5% of 880 is

=> \frac{10.5}{100}\times 880

=>  0.105\times 880

=> 92.4

Hence  Roberta will be earning a total amount of

(72+ 92.4)

=>$164.4

3 0
4 years ago
Find the supplement of 29°​
Nonamiya [84]

Answer:

151°

Step-by-step explanation:

Supplementary angles equal 180°, so all you have to do here is subtract 29 from 180 to get 151° as the supplement.

4 0
3 years ago
The freezing point of nitrogen is about -210°C. The freezing point of mercury is about 171°C higher. What is the approximate fre
masha68 [24]
It should be about -39 degrees.
6 0
4 years ago
Read 2 more answers
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