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lawyer [7]
3 years ago
8

Write an equation for the nth term of the geometric sequence 2, 8, 32, 128, ...

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0

2*4^n-1

To get the next term, you multiply it by 4.

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Find the volume of a hexagonal pyramid with a base area of 147 square meters and a height of 4 meters.(1 point) 294 cubic meters
irina1246 [14]

Answer:

Volume of a hexagonal pyramid = 588 square meter

Step-by-step explanation:

Given:

Base area of hexagonal pyramid = 147 square meter

Height of hexagonal pyramid = 4 meter

Find:

Volume of a hexagonal pyramid

Computation:

Volume of a hexagonal pyramid = Base area of hexagonal pyramid x Height of hexagonal pyramid

Volume of a hexagonal pyramid = 147 x 4

Volume of a hexagonal pyramid = 588 square meter

7 0
3 years ago
Find all solutions of the equation in the interval [0, 2π). (enter your answers as a comma-separated list. if there is no soluti
lawyer [7]
0, π/2, π, 3π/2
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5 0
4 years ago
PLEASE HELP!!!!!!!
erastova [34]
Negative multiplied by a positive is a negative
(good thing happening to a bad guy is bad)
the answer is B
3 0
3 years ago
Read 2 more answers
3x+4=7-2x <br> Solve this equation for x with steps
ollegr [7]
Simplifying
3x + 4 = 7 + -2x

Reorder the terms:
4 + 3x = 7 + -2x

Solving
4 + 3x = 7 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
4 + 3x + 2x = 7 + -2x + 2x

Combine like terms: 3x + 2x = 5x
4 + 5x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 5x = 7 + 0
4 + 5x = 7

Add '-4' to each side of the equation.
4 + -4 + 5x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 7 + -4
5x = 7 + -4

Combine like terms: 7 + -4 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Answer: x = 0.6
5 0
3 years ago
g If there are 52 cards in a deck with four suits (hearts, clubs, diamonds, and spades), how many ways can you select 5 diamonds
dezoksy [38]

Answer:

The number of ways to select 5 diamonds and 3 clubs is 368,082.

Step-by-step explanation:

In a standard deck of 52 cards there are 4 suits each consisting of 13 cards.

Compute the probability of selecting 5 diamonds and 3 clubs as follows:

The number of ways of selecting 0 cards from 13 hearts is:

{13\choose 0}=\frac{13!}{0!\times(13-0)!} =\frac{13!}{13!}=1

The number of ways of selecting 3 cards from 13 clubs is:

{13\choose 3}=\frac{13!}{3!\times(13-3)!} =\frac{13!}{13!\times10!}=286

The number of ways of selecting 5 cards from 13 diamonds is:

{13\choose 5}=\frac{13!}{5!\times(13-5)!} =\frac{13!}{13!\times8!}=1287

The number of ways of selecting 0 cards from 13 spades is:

{13\choose 0}=\frac{13!}{0!\times(13-0)!} =\frac{13!}{13!}=1

Compute the number of ways to select 5 diamonds and 3 clubs as:

{13\choose0}\times{13\choose3}\times{13\choose5}\times{13\choose0} = 1\times286\times1287\times1=368082

Thus, the number of ways to select 5 diamonds and 3 clubs is 368,082.

6 0
3 years ago
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