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Svetach [21]
4 years ago
6

Which of the following is the general term for the sequence m, -m, m, -m, . . .?

Mathematics
1 answer:
bekas [8.4K]4 years ago
4 0

Answer:

  A. m(-1)^(n-1)

Step-by-step explanation:

The degree of m doesn't change so none of the expressions with n as an exponent of m can possibly be correct. That leaves only choice A.

_____

You will find that when alternating signs are required, the term (-1)^n will be a factor. An offset of ±1 can be added to the n to make the initial sign be what you want. Here we want +1 for n=1, so an exponent of (n-1) is appropriate.

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A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round you
DedPeter [7]

3.14 x 9^2 x 14/3 = 1186.92

4/3 x 3.14 x 9^3 = 1526.04

1186.92 + 1526.04 = 2712.96  = 2713 cubic inches

3 0
2 years ago
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sergey [27]

Answer:

864 ft^2

Step-by-step explanation:

Surface area equation is the same as the one used in the other problem; S=(1/2)lP + B

one side is 20 x 14 = 280

another side is 12x14 = 168

another side is 16x14 = 224

the triangle bases are A=(1/2)bh

(1/2)12 x 16 = 96

2(96) = 192

Add all sides together 192 + 224 + 280 + 168 = 864

3 0
2 years ago
Bob can chop down 10 trees in 30 minutes, while Frank can chop down 15 trees in 30 minutes. Working together, how long will it t
Readme [11.4K]

It will take 120 minutes to chop down 100 trees.

Bob chops 10 trees in 30 minutes, so he can chop 100 trees in 300 minutes.

Frank chops 15 trees in 30 minutes, so he can chop 100 trees in 200 minutes.

Solve this using the following equation:

15 / 30 = 100 / x

Solving for x gives 120 minutes.

The unitary approach is a way of solving a hassle via first locating the price of a single unit, after which locating the necessary cost with the aid of multiplying the single unit fee.

The formula of the unitary approach is to find the cost of a single unit after which multiply the cost of an unmarried unit via the quantity of units to get the important price.

Learn more about the unitary approach here brainly.com/question/23423168

#SPJ4

8 0
2 years ago
I need help and fast
suter [353]
Why are you taking a map test in january
4 0
3 years ago
What is the volume of this sphere?
cestrela7 [59]

Answer:

Option D is correct.

volume of given sphere is 36\pi cubic cm

Step-by-step explanation:

Volume of a sphere is given by:

V = \frac{4}{3} \pi r^3

where

V is the volume of sphere

r is the radius of the sphere.

As per the given statement:

From the figure of sphere:

r = 3 cm

then;

V = \frac{4}{3} \pi (3)^3

or

V = \frac{4}{3} \pi \cdot 27 = 4 \pi \cdot 9 = 36\pi cm^3

Therefore, the volume of given sphere is 36\pi cubic cm

3 0
3 years ago
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