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JulijaS [17]
3 years ago
14

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1). 2 8 10 4

Mathematics
1 answer:
Klio2033 [76]3 years ago
8 0
Hello!

You can solve this by plugging 1 into g(x) and plugging the result into h(x).

g(x) = 2x
g(1) = 2(1)
g(1) = 2

h(x) = 2x + 4
h(g(1)) = 2(2) + 4
h(g(1)) = 4 + 4
h(g(1)) = 8

Answer:
<span>(h ∘ g)(1) = 8</span>
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Please answer the question and leave an explanation on how to solve each part. Thank you in advance!
horsena [70]

The solutions are

  • it is going to take 15.9 months to raise 10000 dollars
  • You will have $37.31 after you have bought the car
  • The money deficit would be $37.31

<h3>How to solve the question</h3>

a. 10000 = 9359.08e(0.05)

e⁰⁰⁵ = 10000/9359.08

= 0.05 = ln(10000/9359.08)

= 1.325 years

convert to months = 15.9 months

Hence it is going to take 15.9 months to raise 10000 dollars

b. 9359.08 x e^(0.05 x1.25)

= 9962.69

10000 - 9962.69

= $37.31

You will have $37.31 after you have bought the car

c. The money loss and the deficit would be same as above $37.31

d. ln(e^a) = a

We can clearly see that the money cannot be raised in the 15 months from $ 9359.08. there is a deficit amount of $37.31

Read more on compound interest here: brainly.com/question/24924853

#SPJ1

3 0
1 year ago
(look at image) can i get help with this?
navik [9.2K]

Answer:

m∡A = 14

m∡B = 76

Step-by-step explanation:

Two Angles are Complementary when they add up to 90 degrees.

So 3x -7 + 11x - 1 = 90, which we can solve.

14x - 8 = 90

14x = 98

x = 98/14 = 7

with the knowledge of x=7, we can find the angles:

m∡A = 3·7 - 7 = 14

m∡B = 11·7 - 1 = 76

Supplementary angles are angles that add up to 180 degrees, so the next assignment is very comparable, try it!

4 0
3 years ago
What is equivalent to log2(7)
Vesnalui [34]

Answer:

a.7^2

Step-by-step explanation:

I don't know the explanation step by step

4 0
3 years ago
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If you are asked to find the 85th​ percentile, you are being asked to find​ _____
ss7ja [257]
If you are asked to find the 85th percentile, you are being asked to find a data value associated with an area of 0.85 to its left. 
Percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall. For example, the 30 th percentile is the value below which 20% of the observations may be found.
3 0
2 years ago
What is the median for 76,84,93,67,82,and 76
Lapatulllka [165]
First arrange the numbers from least to greatest:

67, 76, 76, 82, 84, 93

The median is the middle number. But since we have two numbers that are in the middle we have to find the average of them.

76 + 82 = 158
158/2 = 79

So your answer is 79
3 0
3 years ago
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