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Tom [10]
3 years ago
5

Make an equivalent fraction 2/3=8

Mathematics
1 answer:
slega [8]3 years ago
4 0

Answer:

2/3 = 8/12

Step-by-step explanation:

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According to Okun's law, if the unemployment rate goes from 5% to 3%, what will be the effect on the GDP?
olga2289 [7]

Answer:

D. It will increase by 1%.

Step-by-step explanation:

Given

u_1 = 5\% --- initial rate

u_2 = 3\% --- final rate

Required

The effect on the GDP

To calculate this, we make use of:

\frac{\triangle Y}{Y} = u_1 - 2\triangle u

This gives:

\frac{\triangle Y}{Y} = 5\% - 2(5\% - 3\%)

\frac{\triangle Y}{Y} = 5\% - 2(2\%)

\frac{\triangle Y}{Y} = 5\% - 4\%

\frac{\triangle Y}{Y} = 1\%

<em>This implies that the GDP will increase by 1%</em>

5 0
3 years ago
Olivia has a certain number of pieces of candy that she wants to share evenly with her siblings. She has 2 sisters and a brother
Svetlanka [38]
Probally not sorry hhaahhaa
3 0
3 years ago
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Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?
vichka [17]

Answer:

The expression -1+14i represents  the number 2i^4-5i^3+3i^2+\sqrt{-81} rewritten in a+bi form.

Step-by-step explanation:

The value of i is i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4} in term of i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}

Substituting the value,

i^{4}=\left(-1\right)\times \left(-1\right)

Product of two negative numbers is always positive.

\therefore i^{4}=1

Now i^{3} in term of i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i

Substituting the value,

i^{3}=\left(-1\right)\times i

Product of one negative  and one positive numbers is always negative.

\therefore i^{3}=-i

Now \sqrt{-81} can be written as follows,

\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}

Applying radical multiplication rule,

\sqrt{ab}={\sqrt{a}}\sqrt{b}

\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}

Now, \sqrt{\left(81\right)=9 and \sqrt{-1}}=i

\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i

Now substituting the above values in given expression,

2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i

Simplifying,

2+5i-3+9i

Collecting similar terms,

2-3+5i+9i

Combining similar terms,

-1+14i

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0
3 years ago
The shorter leg of a right triangle is 14 feet less than the other leg. Find the length of the two legs of the hypotenuse is 25
irakobra [83]

Answer:

  9.233 ft, 23.233 ft

Step-by-step explanation:

If the shorter leg is x, then the longer leg is x+14 and the Pythagorean theorem tells you ...

  x^2 + (x +14)^2 = 25^2

  2x^2 +28x +196 = 625

  x^2 +14x = 214.5

  x^2 +14x +49 = 263.5

  (x +7)^2 = 263.5

  x = -7 +√263.5 ≈ 9.23268

The two leg lengths are √263.5 ± 7 feet, {9.23 ft, 23.23 ft}.

6 0
3 years ago
Read 2 more answers
Someone help me with this
Len [333]

Answer:

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4 0
3 years ago
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