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777dan777 [17]
3 years ago
15

What is the 20th term in the sequence. f(n) = 9n - 12

Mathematics
1 answer:
Lerok [7]3 years ago
6 0

Answer:

f(20) = 168

Step-by-step explanation:

To find the 20th term, substitute n = 20 into f(n) , that is

f(20) = 9(20) - 12 = 180 - 12 = 168

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Find the volume of a pyramid with a square base, where the side length of the base is
Alexxandr [17]

Answer:

127.253 m^3

Step-by-step explanation:

To find the volume, we start by getting the area of the square base

Mathematically, that will be 4.9^2 m^2

To complete the volume, we multiply the area of the base by the height

= 4.9^2 * 5.3 = 127.253 m^3

4 0
3 years ago
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∆ABC transforms to produce ∆A'B'C'. Which transformation did NOT take place?
never [62]

Answer: The answer is (D) Reflection across the line y = -x.


Step-by-step explanation:  In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.

(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.

(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.

(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.

(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.

Thus, the correct option is (D).


6 0
3 years ago
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The time spent dancing (minutes) and the amount of calories burned can be modeled by the equation c = 5.5t. Which table of value
pishuonlain [190]
To build the table you just have to give values to t and then calculate the corresponding c a per the model.


If the model is c = 5.5 t this is the table

t          c
           5.5 t

0         5.5(0) = 0

1         5.5(1) = 5.5

2          5.5(2) = 11.0

3         5.5(3) = 16.5

4          5.5(4) = 22.0

5          5.5(5) = 27.5


The viables solutions are all where t is equal or greater than 0. You can even use decimal values for t. You cannot use negative values for t.
5 0
3 years ago
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How do I do this step by step?<br><br> 3(y-2) +5y = y+22
tatiyna

Answer:

3(Y-2) +5Y =Y+22

3Y-6 +5Y=Y+22

3Y -6 +5Y-Y-22=0

3Y+5Y-Y-6-22=0

7Y-28=0

7Y=28

Y=28/7

Y=4

Step-by-step explanation:

7 0
3 years ago
What is 128x + 107x • 2
Zigmanuir [339]

Answer:

342

Step-by-step explanation:

just add the 128 and 107 which will give u 235 and multipy that by 2 which will give u 342

5 0
3 years ago
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