7 + 2x - 6 = -3x - 3 - 4
2x + 1 = -3x - 3 - 4
2x + 1 = -3x - 7
2x + 1 + 3x = -7
5x + 1 = -7
5x = -7 - 1
5x = -8
x = -8/5.
Answer:
3 x^4 + -75
Step-by-step explanation:
Expand the following:
3 (x^2 + 5) (x^2 - 5)
(x^2 + 5) (x^2 - 5) = (x^2) (x^2) + (x^2) (-5) + (5) (x^2) + (5) (-5) = x^4 - 5 x^2 + 5 x^2 - 25 = x^4 - 25:
3 x^4 - 25
3 (x^4 - 25) = 3 x^4 + 3 (-25):
3 x^4 - 25×3
3 (-25) = -75:
Answer: 3 x^4 + -75
Answer:
7
Step-by-step explanation:
Using Pythagoras' identity on the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the other leg, then
x² + 4² = (
)²
x² + 16 = 65 ( subtract 16 from both sides )
x² = 49 ( take the square root of both sides )
x =
= 7
That is the other leg is 7 units
Answer:
22
Explanation:
I-d-k a educated-guess
Using the z-distribution, a sample of 609 nickels has to be weighed.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:

The margin of error is:

In which:
is the sample mean.
is the standard deviation for the population.
For this problem, the parameters are:

We solve for n to find the sample size, then:





n = 608.9
Rounding up, a sample of 609 nickels has to be weighed.
More can be learned about the z-distribution at brainly.com/question/25890103
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