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12345 [234]
3 years ago
5

What is 160% of 19? What is 0.9% of 54? What is 15% of 376?

Mathematics
1 answer:
mafiozo [28]3 years ago
8 0
160% of 19 is 30.4

Convert 160 into a decimal: 160%/100 = 1.6
Multiply the decimal by 19: 1.6 × 19 = 30.4 <-- our answer.
------

0.9% of 54 is 0.486

Convert 0.9% in a decimal: 0.9%/100 = 0.009
Multiply the decimal by 54: 0.009 × 54 = 0.486 <-- our answer.
-------

15% of 376 is 56.4

Convert the percentage into a decimal: 15%/100 = 0.15
Multiply the decimal by 376: 0.15 × 376 = 56.4 <-- our answer.


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Expand and simplify (<img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D" id="TexFormula1" title="2x^{2}" alt="2x^{2}" align="absmidd
kupik [55]

Answer:

2x(5x + 14) + 15

Step-by-step explanation:

Given: (2x^{2} + 3)(4x + 5) - 8x(x^{2} - 2)

(2x^{2} + 3)(4x + 5) - 8x(x^{2} - 2) = 2x^{2}(4x + 5) + 3(4x + 5) - 8x(x^{2} - 2)

                              = (8x^{3} + 10x^{2} + 12x + 15) - 8x^{3} + 16x

                              = 8x^{3} + 10x^{2} + 12x + 15 - 8x^{3} + 16x

collecting like terms to have,

8x^{3}- 8x^{3} + 10x^{2} + 12x + 16x + 15

10x^{2} + 28x + 15

Thus,

(2x^{2} + 3)(4x + 5) - 8x(x^{2} - 2) = 10x^{2} + 28x + 15

                                           = 2x(5x + 14) + 15

5 0
3 years ago
The Pear company sells pPhones. The cost to manufacture x pPhones is C ( x ) = - 21 x² + 67000 x + 20006 dollars (this includes
pishuonlain [190]

Answer:

Company should produce 8000 phones for the maximum profit.

Step-by-step explanation:

Function representing cost to the manufacturer is,

C(x) = -21x²+ 67000x + 20006

Function that represents the revenue generated is,

R(x) = -28x² + 179000x

Function representing profit to the company,

Profit = Revenue generated - Cost price

         = -28x² + 179000x - (- 21x² + 67000x + 20006)

         = -28x² + 21x² + 179000x - 67000x - 20006

 P(x)  = -7x² + 112000x - 20006

Since this function is a quadratic function therefore, the maximum price generated will be for

x=-\frac{b}{2a}

From the given quadratic function, a = (-7), b = 112000 and c = -20006

Therefore, for x=-\frac{112000}{2\times (-7)}

Or x = 8000 the profit to the company will be maximum.

That means pear company should produce 8000 phones for the maximum profit.

7 0
3 years ago
Dimensional Analysis
Finger [1]
If the car is traveling at 36ft/s per converted mph divide the amount of travel length the person will travel and subtract is by 1 this being the second tracked which is 36ft/s
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3 years ago
Given triangle ABC is similar to triangle DEF, angle A measures 30 degrees, and angle F measures 50 degrees, what is the measure
Alona [7]

Answer:

100 degrees

Step-by-step explanation:

Since triangle ABC is similar to triangle DEF, their angles are basically the same.

All angles of a triangle have to add up to 180.

We are already given two angles: 30 and 50

Add them together: 30 + 50 = 80

Now we subtract the number from 180

180 - 80 = 100

The remaining angle has to be 100 degrees

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2 years ago
Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?
IceJOKER [234]

Answer:

Here the answer LOL

Step-by-step explanation:

3 0
3 years ago
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