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4 years ago

Select the correct text in the passage. Which sentence indicates how mixed income is measured in the GDP?

1 answer:

5 0

The word domestic in GDP is the key to your answer. That means only income that was made in the United States (domestically) can be counted in the GDP.

The sentence you want to pay attention to is

GDP does not include income received by (sic) other countries. This sentence should read

GDP does not include income originating in other countries. No matter how it is written, that is the sentence you want which tells you what not to count.

You can only count income that originated in the United States.

The sentence you want is the last one of the first paragraph.

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22: A 2.0 kg object moves along the x-axis under the influence of an unknown force. Its potential energy due to the force is U(x

aleksandr82 [10.1K]

Answer: a) -13.25 N, b) 1.78 m/sec

Step-by-step explanation:

Since we have given that

$U(x)=ax^4+bx^2$

where

$a=2.5\ J/m^4\\\\b=12\ J/m^2$

As we know that

$F=\dfrac{-dU}{dx}=-(4ax^3+2bx)$

Here, x= 0.5 m

So, it becomes,

$F=-(4\times 2.5\times (0.5)^3+2\times 12\times 0.5)=-13.25\ N$

Now, we need to find the velocity when it crosses the origin,

$F=mg\\\\F=m\dfrac{dv}{dt}\\\\F=mv\dfrac{dv}{dx}\\\\-(4ax^3+2bx)dx=mvdv\\\\\int\limits^{0.5}_0 {-(4ax^3+2bx)} \, dx =\int\limits {mv} \, dv\\\\ \dfrac{-4ax^4}{4}+\dfrac{2bx^2}{2}|_0^{0.5}=\dfrac{mv^2}{2}\\\\ax^4+bx^2|_0^{0.5}=\dfrac{mv^2}{2}\\\\2.5(0.5)^4+12(0.5)^2=\dfrac{2v^2}{2}\\\\0.15625+3=v^2\\\\3.15625=v^2\\\\\sqrt{3.15625}=v\\\\v=1.78$

Hence, a) -13.25 N, b) 1.78 m/sec

7 0

4 years ago

What is 12 divided by -10?

Natasha_Volkova [10]

It would be -1.2
hope i helped follow me

8 0

3 years ago

Read 2 more answers

Which expression is equivalent to 3n+2(1-4n)?<br> A. 2-n<br> B. 2-5n<br> C. 2+11n<br> D. 2-11n

lutik1710 [3]

Answer:

The Answer is B. 2-5n

Step-by-step explanation:

Multiply 2 by everything within the parenthesis and it leaves you with 3n+ 2-8n

Then combine like terms which are +3n and -8n which leaves you with -5n

8 0

3 years ago

What is the diameter of a circle with a radius of 5.4 cm

BabaBlast [244]

Answer: 10.8 cm.

Step-by-step explanation: The diameter of a circle is 2*radius. 2*5.4 = 10.8 so the answer is 10.8 cm.

5 0

3 years ago

Find the ratio a:b, if 2a−b/6 = b/3

evablogger [386]

If 2a−b/6 = b/3, then ratio a:b = 3 : 2

<h3><u>Solution:</u></h3>

Given that 2a−b/6 = b/3

We have to find the ratio of a:b

In mathematics, a ratio indicates how many times one number contains another

A ratio between two or more quantities is a way of measuring their sizes compared to each other

let us first solve the given expression

$\frac{2a -b}{6} = \frac{b}{3}$

On cross multiplication we get,

6a - 3b = 6b

6a = 6b + 3b

6a = 9b

$a = \frac{9b}{6}\\\\\frac{a}{b} = \frac{3}{2}$

To convert a fraction to a ratio, first write down the numerator, or top number. Second, write a colon. Thirdly, write down the denominator, or bottom number

Therefore ratio a:b = 3 : 2

6 0

3 years ago