Given that f(x)=5x+9 and g(x)=9-x^2
calculate
f(g(0))
g(f(0))

Answers

Answer 1
Start from the inside and work your way out

For f(g(0)), g(0)= 9-(0^2) = 9, f(9)= 5(9)+9 = 54
So f(g(0)) = 54

For g(f(0)), f(0)= 5(0)+9 = 9, g(9)= 9-(9^2) = -72
So g(f(0)) = -72

Related Questions

How to find area of the base for a cube

Answers

Answer: length*width

Step-by-step explanation:

The base of a cube is a square. As long as you can find the area of a square, you can find the base of a cube. A=Area. A=length*width or A=lw. This works the same for rectangular prisms, but with rectangles AND squares.

A park ranger at a large national park wants to estimate the mean diameter of all the aspen trees in the park. The park ranger believes that due to environmental changes, the aspen trees are not growing as large as they were in 1975.

Answers

Answer:

(a) 0.15866

(b) Clustered, with two peaks

(c) Point estimate is 6.3 inches

Margin of error is 0.7 inches

(d) Yes

(e) Stratified sampling method

Step-by-step explanation:

(a) The given information are as follows

Mean diameter of Aspen trees, μ = 8 inches

Standard deviation, σ = 2.5 inches

[tex]z = \frac{x - \mu}{\sigma} = \frac{5.5 - 8 }{2.5} = -1[/tex]

Therefore;

p(x < 5.5) = p(z < -1)

From the z score table, we have p = 0.15866

Therefore, the probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866

(b) The distribution of the Aspen trees can be described as clustered and having two peaks around 9.25 inches and 5.25 inches

(c) The point estimate is 5.6 + (7.0 - 5.6)/2 = 6.3

The margin of error = (7.0 - 5.6)/2 = 0.7 inches

(d) Yes, because the 8 inches is outside the range

(e) Stratified sampling method

Here, the Aspen trees are separated into the highland and lowland samples such that the measurement required will be representative of both highlands park and lowlands park.

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of spinning an odd number, flipping heads, then spinning a 3 is .

Answers

Image of spinner is attached.

Answer:

Probability of the compound event is [tex] \frac{1}{9} [/tex]

Step-by-step explanation:

Given that the spinner contains 3 numbers: 1, 2, & 3.

A coin has 2 outcomes, a head & a tail.

Lets take,

P(A) = event of spining an odd number

P(B) = event of flipping heads

P(C) = event of spinning a 3

We now have:

P(A) = [tex] \frac{2}{3} [/tex]

P(B) = [tex] \frac{1}{2} [/tex]

P(C) = [tex] \frac{1}{3} [/tex]

They are all independent events

Probability of the compound event would be derived by multiplying all the events.

P= P(A) * P(B) * P(C)

[tex] = \frac{2}{3} * \frac{1}{2} * \frac{1}{3} = \frac{1}{9} [/tex]

Probability of the compound event is [tex] \frac{1}{9} [/tex]

Liam is a tyre fitter.
It takes him 124 minutes to fit 4 tyres to a lorry.
a) How long would it take him to fit 6 tyres to a lorry?
b)
If he works for 93 minutes, how many tyres can he fit?

Answers

The number of the minutes for loading 6 tires to a truck will be 186. If he works for 93 minutes. Then the number of tires can he fit will be 3.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Liam is a tire fitter.

It takes him 124 minutes to fit 4 tires to a truck.

The number of minute for the loading of one tire will be

⇒ 124 / 4

⇒ 31 minutes per tire

a) Then the number of the minutes for loading 6 tires to a truck will be

⇒ 31 × 6

⇒ 186 minutes

b) If he works for 93 minutes. Then the number of tires can he fit will be

⇒ 93 / 31

⇒ 3 tires

The number of the minutes for loading 6 tires to a truck will be 186. If he works for 93 minutes. Then the number of tires can he fit will be 3.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ1

Can somebody help me?

Answers

Answer:

35/98

Step-by-step explanation:

What is it then??? IDK WHAT I DID WRONG

Answers

Answer:

P= 300000/60

= 5000watt

single letter means watt

Circle O is shown. T O, Q O, P O, K O, and J O are radii. The measure of arc Q T is 0.14 r, the measure of arcs Q P, P K, and K J are r. The length of O J is 4. There are exactly π radians in a semicircle. There are exactly π radians in a full circle. There are approximately radians in a full circle. 2π radians is equivalent to degrees.

Answers

Answer:

There are exactly 2 π radians in a full circle.

There are approximately 6.28  radians in a full circle.

2π radians is equivalent to  360  degrees.

Answer:

1 4 4

Step-by-step explanation:

what is 100,00 times 1/100,000, using the standard method of multiplication?​

Answers

Answer:

0.1

Step-by-step explanation:

10,000 * (1/100,000) = 0.1

Someone please help me

Answers

Answer:

The slope is 2.2

Step-by-step explanation:

Since the point goes  through (0,0) the slope is given by

m =y/x

4.4 / 2

2.2

what is the probability of not drawing a green marble? If there are 6 blue, 9 red, 5 green

Answers

Answer:xxxxxxxxx

ggggggggxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Step-by-step explanation:

Can you please help me with this question please and i will give you a Brainiest

Answers

Answer:

They all end in 0 or 5

Step-by-step explanation:

Answer:

They all end in 0 or 5.

Step-by-step explanation:

15, 20, 25, and 30 all end in either 0 or 5.

Wendy earned $14 per hour for x hours, plus a bonus of $50. Write an expression that represents how much Wendy earned. plz answer fast.

Answers

Answer:

W(x) = $50 + ($14/hr)x

Step-by-step explanation:

hope this helped

My sister baked me a cake. We bought a litre of milk and went to town - we almost ate the whole cake! In the end my sister and I ate 5/7 of the cake. If the remainder of the cake was divided among three other friends (not including me and my sister) how much would each friend receive?

Answers

Answer:

2/21

Step-by-step explanation:

2/7 ÷3

sorry if wrong

2/7 * 1/3

2/21

Answer:

2/21 per friend

Step-by-step explanation:

A whole cake is 1 or as a fraction 7/7

5/7 of the cake was eaten

7/7 - 5/7 = 2/7

This was divided by 3 friends

2/7 ÷3

Copy dot flip

2/7 * 1/3

2/21

Can someone help me? I had the notes in my notebook but I threw it away when it got full, not thinking that I was ever gonna need these notes again.. ;,)

Answers

1. The mistake is in the second line (didn't fully distribute)
2. The mistake is in the second line (didn't properly add 4p and 7p)

QUICK HELP PLS!

A large city has 6 libraries.

​Each library has at least 1 computer.
The median number of computers is 12.
The difference between the maximum number of computers and the minimum number of computers is 35.

​Which statement are true about the number of computers in these libraries?
​Select each correct answer.
A
There must be 3 libraries with 12 computers.
B
A library could have less than 12 computers.
C
A library could have more than 50 computers.
D
All libraries must have less than 35 computers.
E
At least 1 library does bot have 12 computers.

Answers

Answer:

A C E

Step-by-step explanation:

help pls step by step

this is the problem you had to find the SIMPLIFYING EXPRESSIONS

this is the problem 7x - 2(x + 5) =


20 points!!!

Answers

Answer:

5x - 10

Step-by-step explanation:

7x - 2(x + 5)

= 7x - 2x -10

Please mark me brainliest if my answer is correct! Thanks!

= 5x - 10

you go shopping and your bill comes to $54 the sales tax added equals 7% what is the amount of sales tax added to your bill

Answers

Answer:

$3.78

Step-by-step explanation:

find 107%(100%=$54+7%=107%)

54*107/100= $57.78

find the amount of sale tax

57.78-54=$3.78

Blake walked 7/8 Ora a mile in 1/5
of an hour. If Blake continued walking at the same rate, what is the distance he would travel in one hour?

Answers

Answer:

4.375 miles

Step-by-step explanation:

7/8/12=x/60

12x=60(7/8)

12x=52.5

x=4.375

What is the numbers of π

Answers

Answer:

3.141592653589793238462643383279502884197169399375105820974944592307816406286

Step-by-step explanation:

What is the solution to 34x + 95 = 3(14x + 9)?

Answers

Answer:

Step-by-step explanation:

2. What is the width of this ornament if the volume is 2,226.09 cm^3?
A. 16.2 cm
B. 10.5 cm
C. 20.10 cm
D. 8.1 cm

Answers

Answer:

A. 16.2 cm

Step-by-step explanation:

I took the test

The width of ornament is 16.2 cm.

What is Volume of sphere?

The formula for the volume of a sphere is V = 4/3 πr³.

As, the ornament is in shape of sphere.

Volume of sphere= 4/3 * π * r³

2226.09 = 4/3* 3.14 *  r³

r³= 2226.09  * 3 / 4*3.14

r³= 6,678.27  / 12.56

r³ = 531.7093949044586

r= 8.101

Hence, width = 2* 8.101= 16.2 cm

Learn more about volume of sphere here:

https://brainly.com/question/9994313

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Write the ratio in lowest terms:
7-1/2 inches to 3-1/3 inches

Answers

Answer:

9:4

Step-by-step explanation:

I believe you meant:

   7 1/2 in

 -------------

    3 1/3 in

Rewriting both mixed numbers as improper fractions, we get:

 15

------

   2

==========

    10

  -------

      3

Remember:  to divide by a fraction (such as 10/3 here), invert the divisor fraction and multiply instead:

 15         3      (3)(3)

------- * ------ = --------- = 9/4 or 9:4  (this is a ratio expressed in lowest terms)

   2       10       (2)(2)

Find the volume of the prism.
10 points
3 in.
11 in.
18 in

Answers

Answer: 594 in^3

Step-by-step explanation:

3*11*18=594 in^3

This is the rectangular prism formula.

Ms. Lang lives in​ Lansing, Michigan. Last​ year, she made 4 round trips to​ Chicago, Illinois​ (a distance of 218 miles each​ way) and 6 round trips to​ Louisville, Kentucky​ (a distance of 364 miles each​ way). How many more miles did she travel in her trips to Louisville than in her trips to​ Chicago?

Answers

Answer:

1312 miles

Step-by-step explanation:

To solve this, we simply need to subtract the distance she traveled in her trips to Chicago from the distance she traveled in her trips to Louisville.

She made 4 round trips to​ Chicago, Illinois​. Each of the trips is a distance of 218 miles. This means that the total distance she traveled is:

4 * 218 = 872 miles

She made 6 round trips to​ Louisville, Kentucky​/ Each of the trips is a distance of 364 miles. This means that the total distance she traveled is:

6 * 364 = 2184 miles

Therefore, the difference between the distances she traveled is:

2184 - 872 = 1312 miles

She traveled 1312 miles more in her trips to Louisville than in her trips to Chicago.

Find the value of p if Cos 49 = Sin(p+10)

Answers

Answer:Do you mean find p?  If so then p+10 = 90 - 49, so p = 31°.  Another possibility is in the second quadrant where p + 10 = 180 - 41 so p = 129°  (The 41 comes from the first p+10, i.e. 31+10 = 41),

Check:

Step-by-step explanation:

what is the surface area for this cylinder​

Answers

Answer:

≈ 3 619 in²

Step-by-step explanation:

Surface area = 2×(base’s area) + lateral area

                     = 2×(base’s area) + (Perimeter of the base)×height  

                     = 2×(π×12^2)+((2×π×12)×36)

                     =3 619,11473693544

Uma pessoa com audição normal pode ouvir sons de frequências entre 20 Hz e 20000 Hz. As frequências das ondas de rádio ficam entre 3000 Hz a 300 GHz. (1 GHz = 1000000000 Hz). Se 10000 Hz, por exemplo, é uma frequência audível, por que as pessoas não ouvem as ondas de rádio que estão viajando no espaço que rodeia?

Answers

Answer:

........,..................y.....bhjkkbub

Dan and Stephen are playing basketball. The ratio of points scored by Dan to Stephen is 4 to 3. Which of the following could NOT be the total number of points scored between the two?

Answers

Where are the options?

helpp pt.4 plzzzzzz​

Answers

Answer:a and c

Step-by-step explanation:

what is the solution to this expression[tex]\frac{4}{x^{2} \cdot t} \frac{x}{t^{2} }[/tex]

Answers

Answer:

4/xt 3 sqaured

Step-by-step explanation:

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