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inna [77]
3 years ago
7

What is the fifth term in the geometric sequence described by this explicit formula y=40×(-2)^(n-1)​

Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

Answer:

The fifth term is 620

Step-by-step explanation:

y=40×(-2)^(n-1)​

The 5th terms means n=5

y = 40 * (-2) ^ (5-1)

  = 40 * (-2) ^4

  = 40 * (16)

  = 640

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What is the cross-sectional area of a cement pipe 2 in. thick with an inner diameter of 5 ft? Use pie 3.14.
Paul [167]

Answer:

1.60 ft^{2}

Step-by-step explanation:

Assuming that this is a cylindrical pipe, the area can be determined by applying the formula for calculating the area of a circle.

i.e Area = \pir^{2}

So that,

for the inner part of the pipe,

r = \frac{diameter}{2}

 = \frac{5}{2}

 = 2.5 feet

Area of the inner part of the pipe = \pir^{2}

                                 = 3.14 x (2.5)^{2}

                                 = 19.625

Are of the inner part of the pipe is 19.63 ft^{2}.

Total diameter of the pipe = 5 + 0.2

                                           = 5.2 feet

r = \frac{5.2}{2}

 = 2.6 feet

Area of the pipe = \pir^{2}

                            = 3.14 x (2.6)^{2}

                            = 21.2264

Area of the pipe is 21.23 ft^{2}.

Thus the cross sectional area = Area of the pipe - Area of the inner part of the pipe

                                           = 21.2264 - 19.625

                                           = 1.6014

The cross sectional area of the cement pipe is 1.60 ft^{2}.

6 0
3 years ago
Which symbol completes the inequality represented on the graph? z _____ 1.5 > Greater-than-or-equal-to < Less-than-or-equa
JulsSmile [24]

Answer:

The answer to this question is A >

Step-by-step explanation:

I got it right on edge 2020 :)

6 0
3 years ago
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Determine the number of solutions to the following system of equations.
goldfiish [28.3K]

Answer:

A. one solution y=-3 and x=0

Step-by-step explanation:

3 0
3 years ago
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On Wednesday, a local hamburger shop sold a combined total of 512 hamburgers and cheeseburgers. The number of
Mazyrski [523]

Hey there! I'm happy to help!

Let's call our hamburgers h and our cheeseburgers c and set up a system of equations to solve.

c+h=512

c=3h

Let's plug this value of c into the first equation to solve for h.

3h+h=512

4h=512

Divide both sides by 4.

h=128

Therefore, 128 hamburgers were sold on Wednesday.

Have a wonderful day! :D

3 0
4 years ago
What is the solution to the inequality -3x - 42 > 3​
garik1379 [7]

- 3x - 42 > 3\Leftrightarrow  - 3x > 45\Leftrightarrow x <  - 15

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