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Mekhanik [1.2K]
4 years ago
8

HURRY PLEASE I really need this to pass my class

Mathematics
1 answer:
lisabon 2012 [21]4 years ago
6 0

Problem 1.

\sqrt{\dfrac{2160x^8}{60x^2}} =

= \sqrt{36x^6}

= 6x^3

Problem 2.

\sqrt{400x^{100}} =

= 20x^{50}

Problem 3.

\sqrt{100x^{36}} =

= 10x^{18}

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alina1380 [7]
C=2m+5

c=2(150)+5
c=300+5
c=$350
7 0
3 years ago
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For the real-valued functions, find the composition and specify its domain using interval notation.
Helen [10]

Answer:

Composition:   f(x)\,^o\,h(x)=4\,\sqrt{x+4} -1

Domain = { x\,/\,x\geq \,-4  }

Step-by-step explanation:

Given

f(x)=4\,x-1\,\,\, and \,\,\, h(x)=\sqrt{x+4}

The requested composition becomes:

f(x)\,^o\,h(x)=f(h(x))\\f(x)\,^o\,h(x)=f(\sqrt{x+4} )\\f(x)\,^o\,h(x)=4\,\sqrt{x+4} -1

Then the Domain consists of all Real x-values for which the function is defined. In this case, the function is defined for all x-values for which the square root is defined, that is all x values for which:

x+4\geq \,0  (so the square root is defined in the Real number system)

This means x\geq \,-4

The Domain is then all the Real x-values such that x\geq \,-4

6 0
3 years ago
The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.4521, 0.3970, 0.1307, 0.0
kicyunya [14]

Answer:

The standard deviation of given probability distribution is 0.767.

Step-by-step explanation:

We are given the following information in the question:

  X:      0                  1                  2                3                  4

P(x):      0.4521         0.3970       0.1307        0.0191          0.0010

Formula:

\text{Mean} = \sum X.P(x)\\= 0(0.4521) + 1(0.3970) + 2(0.1307) + 3(0.0191) + 4(0.0010)\\= 0.7197

\mu = 0.7197

Formula:

\text{Variance} = \sum (X-\mu)^2E(x)\\= (0-0.7197)^2(0.4521)+(1-0.7197)^2(0.3970)+(2-0.7197)^2(0.1307)+(3-0.7197)^2(0.0191)+(4-0.7197)^2(0.0010) \\=0.587

\text{Standard Deviation} = \sqrt{\text{Variance}}\\= \sqrt{0.587} = 0.767

The standard deviation of given probability distribution is 0.767.      

3 0
4 years ago
Solve for x 5^x-2=2^x
12345 [234]

Answer:

x ≈ 0.82476307

Step-by-step explanation:

6 0
3 years ago
Which graph shows the function<br> 4y - x= 0?
Otrada [13]

Answer:

y=x/4

Step-by-step explanation:

add x to the other side of your equation so: 4y = x

now divide both sides by 4 so your y is isolated: y=x/4

6 0
3 years ago
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