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3 years ago

3+x=2-3x A) 0 B) 1 C) Infinitely many

Mathematics

2 answers:

salantis [7]3 years ago

8 0

The answer is A) 0 ..........

bulgar [2K]3 years ago

8 0

3 + x - 2 = 3x
x + 1 = -3x
1 = -3x - x
1 = -4x
x = -1/4.

Answer: B) 1

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A point moves along the curve y = √ x in such a way that the y-component of the position of the point is increasing at a rate of

Eduardwww [97]

Answer:

The value of x component changes at a rate of $\frac{dx}{dt}=4\sqrt{x}$ units per second

Step-by-step explanation:

We are given that $y=x^{\frac{1}{2}}$

Differentiating on both sides with respect to time we get

$\frac{dy}{dt}=\frac{d\sqrt{x}}{dt}\\\\\frac{dy}{dt}=\frac{1}{2}x^{\frac{-1}{2}}(\frac{dx}{dt})\\\\\frac{dy}{dt}=\frac{1}{2\sqrt{x}}\frac{dx}{dt}$

It is given that $\frac{dy}{dt}=2units/sec$

Solving for $\frac{dx}{dt}$ we get

$\frac{dx}{dt}=\frac{dy}{dt}\times 2\sqrt{x}\\\\\frac{dx}{dt}=4\sqrt{x}$

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3 years ago

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3 years ago

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A circular can has diameter 4 ft and height 3 ft.

madreJ [45]

Answer:

V ≈ 37.7 ft³

Step-by-step explanation:

Volume is the area of the end times the height

V = πR²h

V = 3.14(4/2)²(3)

V = 37.68 ≈ 37.7 ft³

4 0

3 years ago

The volume of a cube is 64 cubic inches. Which expression represents s, the length of a side of the cube?

vlabodo [156]

Answer:

<h2>Therefore the length of a side of a cube is $\sqrt[3]{64}\ or\ 4$ </h2>

Step-by-step explanation:

The volume of a cube is expressed as L³ where L is the length of each side of the cube.

Given volume of a cube = 64in³

On substituting;

64 = L³

Taking the cube root of both sides to determine L we have;

$\sqrt[3]{64} = (\sqrt[3]{L})^{3}\\\sqrt[3]{64} = L\\L=4$

Therefore the length of a side of a cube is $\sqrt[3]{64}\ or\ 4$

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3 years ago

A population has a standard deviation of 5.5. What is the standard error of the sampling distribution if the sample size is 81?

VladimirAG [237]

Answer:

$\sigma = 5.5$

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution $\bar X$ and for this case we know that the distribution is given by:

$\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})$

And the standard error would be:

$\sigma_{\bar x}= \frac{\sigma}{\sqrt{n}}$

And replacing we got:

$\sigma_{\bar x}=\frac{5.5}{\sqrt{81}}= 0.611$

Step-by-step explanation:

For this case we know the population deviation given by:

$\sigma = 5.5$

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution $\bar X$ and for this case we know that the distribution is given by:

$\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})$

And the standard error would be:

$\sigma_{\bar x}= \frac{\sigma}{\sqrt{n}}$

And replacing we got:

$\sigma_{\bar x}=\frac{5.5}{\sqrt{81}}= 0.611$

4 0

3 years ago