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patriot [66]
3 years ago
7

Write an equation for the nth term of each geometric sequence. (show work)

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0
1) 4n

The arithmetic sequence is going up in 4’s (1 x 4 = 4, 4 x 4 = 16)
Therefore the answer is just 4n

2) 0.5n (1/2n)
The arithmetic sequence is going up in 0.5’s (1 x 0.5 = 1/2, 1/2 x 0.5 = 1/4)
Therefore the answer is just 0.5n or if you need it in a fraction it is (1/2n)

3) -7n
The arithmetic sequence is going up in -7’s (7 x -7 = -14, -14 x -7 = 28)
Therefore the answer is just -7n
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Complete the following statement of congruence:<br> A. TRS<br> B. RTS<br> C. STR<br> D. RST
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Answer:

B. △RTS

Step-by-step explanation:

△MON ≅ △RTS

4 0
2 years ago
It took the high school hockey team 5h to travel to a tournament in Thunder Bay. They travelled by bus and plane a total distanc
mote1985 [20]
Entire distance = 1,320
Entire time = 5 hours

bus avg = 40 km/h
plane avg = 600 km/h

Working this by trial and error
1 hour bus 4 hour plane = 40 + 2,400 = 2,800 distance (too high)
2 hour bus 3 hour plane = 80 + 1,800 = 1,880 distance (too high)
3 hour bus 2 hour plane = 120 + 1,200 = 1,320 distance (Correct!!)

So, they traveled 3 hours by bus and 2 hours by plane
(yes, you had the right answer).

8 0
3 years ago
A bus makes a stop at 2:30, letting off 16 people and letting on 3. The bus makes another stop ten minutes later to let off 2 mo
liq [111]

Answer:

10 people lesser.

Step-by-step explanation:

Initially, it 15 people  get off but 9 people get picked up, hence losing 6 people.  If 4 more people get off, it has then lost 10 people total.

The original number of passengers on the bus decreased by 10 after the second stop

Assume that the total passengers on the bus before 2:30 was x

Now, at 2:30:

15 passengers got off and 9 got on.

This means that:

number of passengers = x - 15 + 9 

number of passengers = x -6

10 minutes later:

4 passengers got off the bus

This means that:

number of passengers = (x-6) - 4

number of passengers = x - 10

The original number of passengers on the bus decreased by 10 after the second stop.

3 0
3 years ago
The volume of a cube is 125 cm^3. The area of a square is 64 cm^2. How does the lenghth of one edge of the cube compare to the l
anzhelika [568]

Answer:

One edge of the cube is 5 cm, one edge of the square is 8 cm, so the edge of the cube is 3 cm shorter than the edge of the square.

Step-by-step explanation:

<h3 /><h3>The volume of the cube is found by the formula </h3><h2>V = s³, </h2><h3>where s is the side length (called the edge in this problem)</h3><h3>Since V = 125 cm³, we can take the cube root of 125 to find the edge length.</h3><h3>The cube root of 125 is 5, ( 5³ = 125)</h3><h3>So the edge of the cube is 5 cm</h3><h3 /><h3>The are of a square is found by the formula </h3><h2>A = s² ,  </h2><h3>where s is the side length (called the edge in this problem) </h3><h3>Since A = 64 cm², we can take the square root of 64 to find the edge length.</h3><h3>The square root of 64 is 8  (8² = 84)</h3><h3>So the edge of the square is 8cm</h3><h3 /><h3>Comparing the two edges tells us that the edge of the cube is 3cm shorter than the edge of the square.</h3>
8 0
3 years ago
Teresa graphs the following 3 equations: y=2^x, y=x^2+2, and y=2x^2. She says that the graph of y=2^x will eventually surpass bo
makvit [3.9K]
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6 0
4 years ago
Read 2 more answers
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