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ludmilkaskok [199]
2 years ago
11

X^2 - 16 = 0 by extracting the square root​

Mathematics
1 answer:
scoray [572]2 years ago
6 0

Answer:

  • {-4, 4}

Step-by-step explanation:

  • x² - 16 = 0
  • x² = 16
  • x = √16
  • x = ± 4
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Amanda teaches the art of quilling to four students these students each teach the art of quilling to four other students if this
il63 [147K]

Answer:

341

Step-by-step explanation:

The number of people who know the art of quilting in each successive generation is

1, 4, 16, …

These numbers represent a geometric sequence where each term has the form

aₙ = a₁rⁿ⁻¹

In your sequence, a₁ = 1 and r = 4.

Then, the formula for your sequence is

aₙ = 4ⁿ⁻¹

Sum over five generations

The formula for the sum of the first n terms of a geometric series is

Sum = a₁[(1 - rⁿ)/(1 - r)]

Sum = 1[(1 - 4⁵)/(1 - 4)

       = (1 - 1024)/(-3)

       = -1023/-3

       = 341

If the process continues for five generations, 341 people will know the art of quilting.

4 0
3 years ago
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The capacity of an elevator is 12 people or 2088 pounds. the capacity will be exceeded if 12 people have weights with a mean gre
boyakko [2]

suppose the people have weights that are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.

Find the probability that if a person is randomly selected, his weight will be greater than 174 pounds?

Assume that weights of people are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.

Mean = 177

standard deviation = 26

We find z-score using given mean and standard deviation

z = \frac{x-mean}{standard deviation}

= \frac{174-177}{26}

=-0.11538

Probability (z>-0.11538) = 1 - 0.4562 (use normal distribution table)

= 0.5438

P(weight will be greater than 174 lb) = 0.5438

8 0
3 years ago
The volume of the triangluar block is 4 cubic inches. What is the approximate length of y?
Artist 52 [7]

The volume of the triangluar block is 4 cubic inches. What is the approximate length of y? -- 2.8 inches

3 0
3 years ago
How would you figure out (-3)(-8) (multiplying integers)
Sati [7]

Answer:

24

Step-by-step explanation:

(-3)(-8)

A negative times a negative is a positive

+ 3*8

+ 24

4 0
3 years ago
What is the expression for the area of the old garden if the perimeter is 6w+8, where W represents the width?
musickatia [10]

Answer:

w(2w+4)

Step-by-step explanation:

we know A = l * w

and Perimeter = 2l + 2w

we want to find l in terms of w

2l + 2w = 6w + 8

2l = 4w + 8

l = 2w + 4

so A = w * (2w + 4)

8 0
3 years ago
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