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Damm [24]
2 years ago
9

Which of the following is the correct order of the polynomial 8y4 – 2y2 + 10-y+4y6

Mathematics
1 answer:
balandron [24]2 years ago
8 0

Answer:

4y6+8y4-2y2-y+10... you start with the one with the highest power first .. end with the one with the least power...

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Which of the following linear expressions CANNOT be factored?
Rzqust [24]

It's really easy lol the answer is A) 15x+22

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3 years ago
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The value of 3 in 6300 is
Alex777 [14]
300
Because its in the one hundred column
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3 years ago
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Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste wat
Gemiola [76]

Answer:

We conclude that the plant should shut down.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, \bar{x} = 61.498

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 6

a) First, we design the null and the alternate hypothesis  such that the power plant will be shut down when the null hypothesis is rejected.

H_{0}: \mu \leq 60\\H_A: \mu > 60

We use One-tailed(right) z test to perform this hypothesis.

b) Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{61.498 - 60}{\frac{6}{\sqrt{100}} } = 2.49

Now, z_{critical} \text{ at 0.05 level of significance } = 1.64

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

Calculating the p-value from the z-table:

P-value = 0.0063

Since,

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

7 0
4 years ago
Solve m=<img src="https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-%20%7By_%7B1%7D%7D%20%7D%7Bx_2-x_%7B1%7D%20%7D" id="TexFormula1" t
miss Akunina [59]

Answer:

y_2 = (x_2 - x_1) +y_1.

Implied: x_2\ne x_1.

Step-by-step explanation:

Get rid of the denominator by multiplying both sides of this equation with (x_2 - x_1):

m(x_2 - x_1) = y_2 - y_1.

Isolate y_2 by moving (-y_1) to the left-hand side of the equation. That is: add y_1 to both sides of this equation.

m(x_2 - x_1) + y_1 = y_2.

By the symmetric property of equalities,

y_2 = m(x_2 - x_1) + y_1

6 0
3 years ago
If x is an acute angle and tan x = 5,
lyudmila [28]
We have that
tan x=5

we know that
tan x =sin x/ cos x
sin x/ cos x=5------> squaring-----> sin² x/cos² x=25
remember that
sin² x+cos² x=1-----> cos² x=1-sin² x
substitute
sin² x/[1-sin² x]=25
sin² x=25-25*sin² x
26*sin² x=25
sin² x=25/26
sin x=5/√26

cos² x=1-(5/√26)²----> 1-(25/26)----> 1/26
cos x=1/√26

the answers are
sin x=5/√26
cos x=1/√26

4 0
3 years ago
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