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kifflom [539]
3 years ago
14

Evaluate h(4), where h=g of f

Mathematics
1 answer:
seropon [69]3 years ago
3 0
h(4)=(gof)(4)=g(f(4)) so you must find f(4) first.

f(4)=  \frac{1}{4-3} =1

h(4)=(gof)(4)=g(f(4))=g(1)

So you look at what g(1) is?

g(1)=1^2+3=4

Therefore, h(4)=4
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If angle b = 60° and a = 10 meters, find b.
BlackZzzverrR [31]

Answer:

b = 60? wha....

Step-by-step explanation:

5 0
3 years ago
Dora calculated the mean absolute deviation for the data set 35, 16, 23, 42, and 19. Her work is shown below.
Crazy boy [7]

Answer:

The calculation in step 3 is wrong

Step-by-step explanation:

1) The mean of a dataset is given by the sum of the values of the dataset divided by the number of values.

In this problem, the dataset is

35, 16, 23, 42, 19

And the number of data is

N = 5

So the mean is

\bar x=\frac{35+16+23+42+19}{5}=27

So, step 1 is correct.

2)

The absolute deviation of a value in the dataset is the absolute value of its difference from the mean value:

\sigma_i = |x_i-\bar x|

Since here the mean value is

\bar x=27

Then for each of the values in this dataset, we have:

\sigma_{1}=|35-27|=8\\\sigma_{2}=|16-27|=11\\\sigma_{3}=|23-27|=4\\\sigma_{4}=|42-27|=15\\\sigma_{5}=|19-27|=8

So calculations in step 2 are also correct.

3)

The mean absolute deviation is given by the sum of the absolute deviations for each data divided by the number of values in the dataset.

Therefore in this problem, it is:

\bar \sigma = \frac{\sum \sigma_i}{N}=\frac{8+11+4+15+8}{5}=9.2

While the result reported by Dora is 9.5: therefore, this step is not correct.

5 0
3 years ago
Read 2 more answers
How many inches are there in 8.5 feet 102
Shtirlitz [24]

Answer:

102 would be correct

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Given: △ABC, E∈ AB m∠ABC=m∠ACE AB=34, AC=20 Find: AE
LenaWriter [7]

Answer:

AE = 11.76 units

Step-by-step explanation:

For better understanding of the solution, see the attached figure :

Given : E ∈ AB, m∠ABC = m∠ACE, AB = 34 and AC = 20

To find AE :

In ΔABC and ΔACE,

m∠ABC = m∠ACE ( Given )

∠A = ∠A    ( Common angle for both the triangles )

By AA postulate of similarity of triangles, ΔABC ~ ΔACE

So, proportion of the corresponding will be equal.

\implies \frac{AC}{AB}=\frac{CE}{BC}=\frac{AE}{AC}\\\\\implies\frac{AC}{AB}=\frac{AE}{AC}\\\\\implies\frac{20}{34}=\frac{AE}{20}\\\\\implies AE=\frac{20\times 20}{34}\approx 11.76

Hence, AE = 11.76 units

4 0
3 years ago
Find the fifth term in the geometric
tangare [24]
We can solve this in 2 ways
Since a1 = 4
a2 = 4 * (3) = 12 i.e( a1* common ratio)
a3 = 12 * (3) = 36 i.e( a2 * common ratio)
a4 = 36 * (3) = 108 i.e( a3* common ratio)
a5 = 108 * (3) = 324 i.e(a4*common ratio)

and so on
7 0
2 years ago
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