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inna [77]
2 years ago
13

The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units,

then what is the value of k?
k equals one seventh
k equals negative one seventh
k = 7
k = −7
Mathematics
1 answer:
Ierofanga [76]2 years ago
4 0

Answer:

k = 7

Step-by-step explanation:

Vertical shift down by 7units, f(x) - 7

g(x) = (0.5)x - 7

g(x) = (0.5)x - k

Comparing both equations, k = 7

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(Angles) Only 14-17 please, do 15 if you want
Butoxors [25]

Answer:

N.14 ABC = 5x+20, N.15 ABE = 90. N.16. 123, 29, 28. N.17 K = 80

Step-by-step explanation:

Because of vertical angles, 5x+20 = 3x+66.

5x=3x+46

2x = 46

x = 23

Sum of angles in a circle is 360

360-135-135=180

ABE = CBD because vertical angles.

180 / 2 = 90

16.

Sum of angles in triangle is 180

180=123-x-2-x-3

x = 31

123, 29, 28.

17.

Sum of angles in triangle is 180

180-72-28 = 80

K = 80

8 0
2 years ago
A student determined that the area of the segment of c shown above is Asegment = 137.71 ft2. The student's work is shown below.
ivolga24 [154]

Answer:

Option D. The student did not use the correct formula to calculate the area of the segment

Step-by-step explanation:

step 1

Find the area of the isosceles triangle

Applying the law of sines

A=\frac{1}{2}(12^{2})sin(60\°)=62.35\ ft^{2}

step 2

Find the area of the sector

The area of the sector is 1/6 of the area of the circle

so

A=\pi r^{2}/6

substitute the value

A=(3.14)(12)^{2}/6=75.36\ ft^{2}

step 3

Find the area of the segment

The area of the segment is equal to the area of sector minus the area of triangle

A=75.36\ ft^{2}-62.35\ ft^{2}=13.01\ ft^{2}

therefore

The student did not use the correct formula to calculate the area of the segment

4 0
3 years ago
5. Which numbers below are composite?<br> 13<br> 15<br> 17<br> 27<br> Help
yan [13]

Answer:

15 and 27 are composite

Step-by-step explanation:

prime numbers only factor into 1(x) and x(1)

13 = 1(13), 13(1)

15 = 1(15), 3(5), 5(3), 15(1)

17 = 1(17), 17(1)

27 = 1(27), 3(9), 9(3), 27(1)

hope this helps

7 0
3 years ago
What is the difference between internal validity and external validity​? A. A statistical analysis is said to have external vali
Arada [10]

Answer:

B

Step-by-step explanation:

Internal validity means that it it valid for the population within the study internal = study). While external validity means that it has wider applications and is valid for people outside the study or in different setting. In other word, a statistical analysis has internal validity if the statistical inferences about causal effects apply for those being studied. It has external validity when if can be generalized to other settings and populations. The answer choice which best matches this is B.

Answer choices:

A. A statistical analysis is said to have external validity if the statistical inferences about causal effects are valid for the population being studied. The analysis is said to have internal validity if conclusions can be generalized to other populations and settings.

B. A statistical analysis is said to have internal validity if the statistical inferences about causal effects are valid for the population being studied. The analysis is said to have external validity if conclusions can be generalized to other populations and settings.

C. A statistical analysis is said to have internal validity if the statistical inferences about causal effects can only be verified by a few researchers. The analysis is said to have external validity if conclusions can be verified by many researchers.

D. Internal validity and external validity are equivalent.

3 0
3 years ago
Morgan is in the business of manufacturing phones. She pays a cost of $200
KATRIN_1 [288]

Answer:

C = 200p + 400

Step-by-step explanation:

Because C is the cost of a given day, 400 acts as a y-intercept.

400 is the initial fee paid then 200 per each phone manifactured, meaning that 200 is the slope.

3 0
3 years ago
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