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Dmitriy789 [7]
3 years ago
8

Write a prime factorization of 675 using exponents

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0
675
15*45
3*5  5*9
             3*3
3^3*5^2=675

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When no more than 110 units are produced, the cost of producing y units is given by C(x).
Maslowich

Producing 73.8 units gives the lowest possible average cost.

The average cost (AC) is the ratio of the total cost to the number of units produced. It is given by:

AC = C(x) / x

AC = (0.2x³ – 24x² + 1514x +30064) / x

AC = 0.2x² - 24x + 1514 + 30064/x

The lowest possible average cost is at AC' = 0. Hence differentiating the average cost, gives:

AC' = 0.4x - 24 - 30064/x²

0.4x - 24 - 30064/x² = 0

0.4x³ - 24x² - 30064 = 0

Solving the cubic polynomial gives:

x = 73.8 units

Therefore the lowest possible average cost is when 73.8 units are produced.

Find out more at: brainly.com/question/20346871

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3 years ago
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7 0
3 years ago
Company XYZ has 97 employees. 31 Of the employees are vegetarian, 36 of the employees owns a Nissan Leaf and 6 of the employees
FrozenT [24]

Answer:  \dfrac{61}{97}

Step-by-step explanation:

Let V = Event of selecting vegetarian employee

N =  Event of selecting employee who owns a Nissan Leaf.

Given: Total employees = 97

n(V) = 31

n(N) = 36

n(N and V) = 6

By formula,

n(N or V) = n(V) + n(V) - n(N and V)

= 31+36-6

=61

By probability formula,

P(N \ or \ V)=\dfrac{n(N\ or\ V)}{Total }\\\\=\dfrac{61}{97}

Hence, the probability that the employee is vegetarian or that she/he owns a Nissan Leaf =  \dfrac{61}{97}

8 0
3 years ago
A family drove 180 miles to disneyland. If they left at 10:30
luda_lava [24]

Average speed = Distance/ time

Distance = 180 mi

Time = time(final) - time(initial)

To find time will be easier if we translate am and pm into 24 h scale.

am will  stay the same, so   10:30 am   is 10:30. (initial)

pm will be turned (am time + 12), 3: 00 pm = 3:00 +12 =15:00 (final)

Time = time(final) - time(initial)= 15:00 - 10:30 = 14:60 - 10:30 =4h 30 min

4h + 30 min = 4h + 1/2 h= 4.5 h (time)

Average speed = Distance/ time = 180 mi / 4.5 h = 40 mi/h

Answer is 40 mi/h.


3 0
3 years ago
What is 55/100 in simplest form
liubo4ka [24]
It would be: 55/100 = 11/20

In short, Your Answer would be 11/20

Hope this helps!
5 0
3 years ago
Read 2 more answers
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