Find the value of angle G, C and F

Answer:

f(g(2))=7

Step-by-step explanation:

The Composite Function

Given f(x) and g(x) as real functions, the composite function [tex](f\circ g)(x)[/tex] is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

It can be found by substituting g into f.

The given functions are:

[tex]f(x)=4x+3[/tex]

[tex]g(x)=x^2-3[/tex]

It's required to find f( g( 2 ) )

Find g(2):

[tex]g(2)=2^2-3[/tex]

Operating:

[tex]g(2)=4-3 =1[/tex]

g(2)=1

Now find f(1):

[tex]f(1)=4(1)+3[/tex]

[tex]f(1)=4+3 =7[/tex]

Thus:

f( g( 2 ) )=7

Answer:

depends on how much she pays per month, anywhere from $16.67-$583,179.69

Answer:

he bought 25% and he didn't buy 75%

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

Lola has x.

Mary-Ann has 2 1/3 times Lola's amount, so Mary-Ann has (2 1/3)x.

Mary-Ann has $28.

(2 1/3)x = 28

7/3 x = 28

Multiply both sides by 3/7.

x = 28 * 3/7

x = 12

Lola has $12.

Answer: 10:1

Step-by-step explanation:

I don’t know. I took my math exam and got the wrong answer, this is the correct one. i hope i helped someone :)

2/3 : 1/15 as a unit rate is  [tex]10:1[/tex] .

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

According to the question

[tex]\frac{2}{3} : \frac{1}{15}[/tex] as a unit rate

As, unit rate is having denominator = 1

So,

[tex]\frac{2}{3} : \frac{1}{15}[/tex]

= [tex]\frac{2}{1} : \frac{1}{5}[/tex]

= [tex]10:1[/tex]

Hence,  2/3 : 1/15 as a unit rate is  [tex]10:1[/tex] .

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Answer:

500x1.5

Step-by-step explanation:

Answer:

For 7m^2: 8.4

For .5m^2: .6

For 12 liters of paint: 10m^2

and for 6.6: 5.5m^2

Answer:

a) 8.4

b) 0.6

Step-by-step explanation:

a) 1.2L=1m^2

8.4L = 7m^2

7 times 1.2 is 8.4

b) 1.2L=1m^2

0.6L=0.5m^2

1.2 times 0.5 or 1.2 divided by 2 is 0.6

Answer:

C. 10

Step-by-step explanation:

You can take the blank as x

so 361.2 / x = 36.12

multiply by x

361.2 = 36.12x

divide

x = 10

Answer:

C. 10

Step-by-step explanation:

When dividing a number by 10, you are moving the decimal place to the left by one placing.

361.2/10 = 36.12

Simply move the decimal from between 1 and 2 to between 6 and 1.

Answer:

B and C

Step-by-step explanation:

60-25= 35

So you have to pick the numbers between 30 and 35, but not 30 I believe.

The numbers greater than 30 and less than the difference between 60 and 26 were 32 & 34.

Step-by-step explanation:

Given:

Numbers : 30, 32, 34,36,38

To find:

The numbers greater than 30 and less than the difference between 60 and 25.

Solution:

30<N<(60-25)

30<N<35

Where:

N = Number greater than 30 and less than 45

30<30<35 ( not valid, 30 is equal to 30)

30<32<35 ( valid)

30<34<35 ( valid)

30<36<35 ( not valid, 36 is greater than 35)

30<38<35 (not valid,38 is greater than 35)

The numbers greater than 30 and less than the difference between 60 and 26 were 32 & 34.

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Answer:

-0.60

why? because the percentages match.

Answer:

Step-by-step explanation:

5x -7x = -1 -3

-2x = -4

hope it helps:)

Answer:

The range is 3.6

Step-by-step explanation

The range is equal to the largest # - the smallest #

Which mean: 11.8 - 8.2= 3.6

Step-by-step explanation:

idkkdjjdjjddjdjdjdjjdjdjdjdjxjxjxjxjxjjxjxjdjdjdjdjddjd

Answer:

0.3

Step-by-step explanation:

Tell me if it's wrong I have another answer

Answer:

2/5 is the correct answer.

Step-by-step explanation:

Explanation:

The rule used here is

if sin(A) = cos(B), then A+B = 90.

In this case, B = 47, meaning that,

A+B = 90

A+47 = 90

A = 90-47

A = 43

Therefore,

sin(43) = cos(47)

Answer:

4, 3.3, and 3.2 the answer would be $10.05

Step-by-step explanation:

The initial fee that the company charges is equivalent to $2.

Given is that a company rents bicycles to customers. The company charges an initial fee plus an hourly rate. This table shown in the question gives the total cost to rent a bicycle for different amounts of time.

Assume that the initial fee is equivalent to $x. Then we can write the charge function as -

C(x) = mx + c

Now -

C(x) = {(20 - 8)/(6 - 2)}x + c

C(x) = (12/4)x + c

C(x) = 3x + c

For (2, 8) , we can write -

8 = 3 x 2 + c

c = 8 - 6

c = 2

Therefore, the initial fee that the company charges is equivalent to $2.

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Answer:

285, 7392, 15708, are divisible by 3 but not by 9

Step-by-step explanation:

it's because of we add the sun of the digits, 285, 7392, 15708, they are divisible by 3. actually, except for 629, all of them are divisible by 3, but 5490 and 43695 are both divisible by 3 and 9

Answer:

21 dollars

Step-by-step explanation:

like my answer pls :)

Kevin will have to pay the amount of $21 for the necklace when the necklace is 40% off.

The percentage is defined as a ratio expressed as a fraction of 100.

Kevin wishes to purchase a $35 necklace for his mother. If the necklace is on sale for 40% off,

If the necklace is 40% off, Kevin will have to pay 60% of the original price, since 100 - 40 = 60.

To find out how much Kevin will have to pay, you can multiply the original price of the necklace by 60% and then divide the result by 100 to convert it to a dollar amount.

For example, if you multiply $35 by 60% and then divide by 100, you get:

($35 × 60%) / 100 = $21

Therefore, he will have to pay $21 for the necklace.

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The question is incomplete. Here is the complete question.

Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were shown in the figure below.

The average (mean) aptitude score:

The median aptitude score:

Answer: mean: 2.73

              median: 3

Step-by-step explanation: Mean is the average number of a set of numbers.

The table below shows a frequency of students to each score of the test. To calculate mean with a frequency table, do the following:

[tex]mean=\frac{\Sigma (score*frequency)}{\Sigma frequency}[/tex]

[tex]mean=\frac{0*1+1*5+2*0+3*3+4*3+5*3}{1+5+0+3+3+3}[/tex]

mean = 2.73

Median is the middle term of a set of data.

When there is a frequency table, median is calculated as:

1) First, determine the total number of observations (n).

For this table, n = 15

2) Because n is odd, find the position of the median using:

[tex]position=\frac{n+1}{2}[/tex]

position = 8th

3) The median will be in the 8th position. To find the position, we add the frequencies and in doing so, we notice the position we want is in the score 3 category. So, the median for this frequency table is 3.

Average score of a musical aptitude test is 2.73 and median is 3

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=-2(x-4)^2+2[/tex]

This is a quadratic in vertex form:

[tex]f(x)=a(x-h)^2+k[/tex]

Where (h, k) is the vertex.

So, according to the equation, h=4 and k=2.

Hence, our vertex is at (4, 2).

Remember that the axis of symmetry is the vertical line that passes through the x-coordinate of the vertex.

Hence, our axis of symmetry is x=4.

Answer:

Letter c is correct

Step-by-step explanation:

I solved each problem and Cleos was right

Answer:

"Some whole numbers are irrational numbers" False

"Some rational numbers are not whole numbers" True

"Some irrational numbers are not integers" True

"All rational numbers are integers" False

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). False

2). True

3). False (all irrational numbers are not integers)

4). False

Answer:

37 shots

Step-by-step explanation:

48% = 48/100

Set the ratios equal to each other so that we can find "x" the number of shots she made.

48/100 = x/78

78*48 = 3744

3744/100 = 37.44

She made 37 shots

Answer: $8 for 1 hamburger

Step-by-step explanation:

Answer:

n=-2.5

Step-by-step explanation:

I hope this is correct and have a great day

Answer:

SHe put the decimal point in the wrong spot, it's suppose to be 43.89

Step-by-step explanation:

Answer:

no because 438.9 divided by seven is 62.7

Step-by-step ex

Answer:

x=125

Step-by-step explanation:

A 7 sided figure (heptagon) has interior angles equaling 900°. (7-2)x180

900-60-90=750

6x=750

x=750÷6

x=125

Answer:

The data is not appropriately normal.

Step-by-step explanation:

In inferential statistics, a normal distribution is said to be symmetric and should be single-peaked when working with a random selection of a large sample.

The high number of the sample is 100 which is further from other samples, the central limit theorem explains that the sample size of independent mean must be large enough to mimic the population for the sample to be normal or nearly normal. So, the sample is not appropriately normal and should be larger in size.

Answer:

64.00 was incressed

Step-by-step explanation:

Answer:

about 51-52 percent should be the answer

Step-by-step explanation:

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