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never [62]
3 years ago
9

Given that g(x)=x^2-3x-6, find (gog)(-3)

Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0

(gog)(-3) basically means g(g(-3)).

g(-3) = (-3)^2 - 3(-3) - 6

g(-3) = 12

g(12) = 102

So the answer is 102.

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BRAINLIEST! HELP! Please help me! I NEED PART D AND E! I’m so lost :(
Zinaida [17]

Part A

Given:

Volume of square pyramid = 73.5 <u>cubic</u> inches

height of square pyramid = 4.5 inches

To find:

1)Side length of square pyramid.

2)if side length of square pyramid is rational or irrational

Steps:

1) Side length = \sqrt{\frac{3v}{h} }

Side length = \sqrt{\frac{3*73.5}{4.5} }

Side length = \sqrt{\frac{3*73.5*10}{4.5*10} }         (multiplying both sides to make it a whole number)

Side length = \sqrt{\frac{3*735}{45} }

Side length = \sqrt{\frac{735}{15} }                  (3 gets canceled out)

Side length = \sqrt{49}

Side length = 7 inches

Therefore, the side length of the square pyramid is 7 inches long

2) 7 is a rational number, so the side length of the square pyramid is a rational number.

It is a rational number because,

it can be written in the form p/q,  where

1) q \neq0

2) p and q are co-prime

3) p and q are integers

Part B

Given:

Volume of Khafre's pyramid = 9/10 of Khufu's pyramid's volume

Volume of Kristina's first pyramid = 73.5 cubic inches

To find:

Volume of Kristina's second pyramid

Steps:

Volume of Kristina's second pyramid = 9/10 the volume of Kristina first pyramid

Volume of second pyramid = \frac{9}{10}*73.5

Volume of second pyramid = 9 * 7.35

Volume of second pyramid = 66.15 cubic inches

The volume of the second pyramid should be 66.15 cubic inches

Part C

Given:

Height of pyramid = 4.41 inches

Volume of pyramid = 66.15 cubic inches

To find:

1) Side length of pyramid

2) if the side length is rational or irrational

Steps:

1) Side length = \sqrt{\frac{3v}{h} }

Side length = \sqrt{\frac{3*66.15}{4.41} }

Side length = \sqrt{\frac{3*66.15*100}{4.41*100} }         (multiplying both sides to make it a whole number)

Side length = \sqrt{\frac{3*6615}{441} }

Side length = \sqrt{\frac{6615}{147} }                   (3 gets canceled)

Side length = \sqrt{45}

Side length of pyramid is \sqrt{45} inches

2) \sqrt{45} cant be written in the form of a fraction, so it is an irrational number

(if u want i can explain this more)

Part D

Given

Height of model pyramid = 4.5 inches

Height of Khufu's pyramid = 755.75 feet (had to search the internet for the answer, so I am not sure if it is correct)

Side length of model pyramid = 7 inches

Side length of Khufu's pyramid = 481.4 feet (had to search the internet for the answer)

To find:

1)If the model is to scale with Khufu's pyramid

2) If the model is close to scale with Khufu's pyramid

Steps:

1) First lets find the ratio of the height to the side length of the model

Ratio = 4.5 in : 7 in

         = 45 : 70

         = 9 : 14

         = 0.6428

Now lets find the ratio of the height to the side length of Khufu's pyramid

Ratio = 481.4 feet : 755.75 feet

         = 5776.8 in : 9069 in

         =  0.6369

Therefore the model is not to scale with Khufu's pyramid

2) Yes the scale is close

Part E

Given:

Height of model pyramid = 4.41 inches

Height of Khafre's pyramid = 448 feet

Side length of model pyramid = \sqrt{45} inches

Side length of Khafre's pyramid = 706 feet

To find:

1) If the model is to scale with Khafre's pyramid

2) If the model is close to scale with Khafre's pyramid

Steps:

1) First lets find the ratio of the height to the side length of the model pyramid,

Ratio = 4.41 in : \sqrt{45} in

= 4.41 : 6.7082

= 0.6574

Now lets find the ratio of the height to the side length of Khafre's pyramid

Ratio = 448 ft : 706 ft

= 5376 in : 8472 in

= 0.6345

Therefore the model is not to scale with Khafre's pyramid

2) No, the model is not close to scale,  (it depends by what is meant by close, for me its 0.01)

Happy to help, and I hope you learnt something from this answer that will help you in the future

If you didn't understand any topic pls ask

3 0
3 years ago
The perimeter of a rectangle is 70. The length of the rectangle is represented by (x+3) and the width is represented by (3x-8).
otez555 [7]

Answer: length = 13

Width = 22

Step-by-step explanation:

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length × width)

The length of the rectangle is represented by (x+3) and the width is represented by (3x-8). If the perimeter of a rectangle is 70, it means that

2[(3x - 8) + (x + 3)] = 70

Dividing both sides of the equation by 2, it becomes

3x - 8 + x + 3 = 35

3x + x - 8 + 3 = 35

4x - 5 = 35

4x = 35 + 5 = 40

x = 40/4

x = 10

Length = x + 3 = 10 + 3

Length = 13

Width = 3x - 8 = 3 × 10 - 8

Width = 22

4 0
3 years ago
Which values are areas of cross sections that are parallel to a face of this right rectangular prism?
mafiozo [28]

Answer:

A = 24

Step-by-step explanation:

We can see that the face of the given rectangular prism shows the width 4 and the height of 6. If we cut the figure at any point along the length 20, such that the cross section is parallel to the face, the cross section, which occurs at x length, will always have the same dimensions, that are 4 and 6.

So the area of the cross section which is parallel to the face of the given rectangular prism is given by:

A = 6 × 4

A = 24

8 0
3 years ago
There are 4 students on a team for a relay race. How many teams can be made from 27 students?
Lina20 [59]
There can be 6 teams because 
27/4= 6.75
yet there will be 3 students left, so they can be a team ;)
8 0
4 years ago
Read 2 more answers
.Room 1 and Room 2 have 58 students in total. 4 students are transferred from Room 1 to Room 2. Now the two rooms have the same
Lorico [155]
58 divided by 2 equal 29 so 29-4=25 .so room 2 had 25 students .29+4=33 so room 1 had 33 students
4 0
3 years ago
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