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Ymorist [56]
2 years ago
10

Factor the expression completely. x^4-9x^2+14 x 4 −9x 2 +14

Mathematics
1 answer:
Kobotan [32]2 years ago
8 0
Answer: 3x^2(5x^2-6)+14
(WORK SHOWN BELOW)

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After sitting in a refrigerator for a while, a turkey at a temperature of 34 degrees F is placed on the counter and slowly warms
Anton [14]

Answer:

  • k = 0.006
  • T = 48 °F

Step-by-step explanation:

The initial temperature difference of 72 -34 = 38 °F is reduced to a difference of 72 -41 = 31 °F after 35 minutes. The exponential term in the temperature expression could have the factor ...

  (31/38)^(t/35) = e^(-kt)

Taking the natural log, we find ...

  (t/35)ln(31/38) = -kt

  k = ln(38/31)/35 ≈ 0.00581711

To the nearest thousandth, this is ...

  k ≈ 0.006

Using this in the equation for temperature, we have ...

  T = 72 -38e^(-0.006t)

Filling in the desired value for t (80), we find the turkey temperature after 80 minutes to be about

  T = 72 -38e^(-.006×80) = 72 -38e^-.48 ≈ 48.49

  T ≈ 48 °F

The value of k is about 0.006, and the turkey temperature is about 48 °F.

4 0
3 years ago
Think about your previous math courses. Identify one tope that you learned about which
saw5 [17]

The answer for this question I don’t think could be answered by anyone but yourself. To help you figure this out, just simply think about all of the math courses you’ve had previous to your current course and think about which course you did best in.

8 0
3 years ago
Can you help me with something ​
Anna11 [10]

Answer:

D. 1

Step-by-step explanation:

7,491 times 19 yields 142, 329

8 0
3 years ago
Read 2 more answers
You produce 100 items and 47 of them will be shipped out of state. What percent of the items will be shipped out of state?
larisa [96]
47%.
anything that's out of 100 is going to be that number as a percent.
So if you had 34 things being shipped out of state then 34% of them would be shipped out of state.
3 0
3 years ago
Read 2 more answers
The number of bacteria in a culture is given by the function n(t) =950e^0.45t Where t is measured in hours A) what is the contin
tatiyna

Answer:

a) The continuous rate of growth of this bacterium population is 45%

b) Initial population of culture at t = 0 is 950 bacteria

c) number of bacterial culture contain at t = 5 is 9013 bacteria

Step-by-step explanation:

The number of bacteria in a culture is given by

n(t) = 950e^{0.45t}

a) rate of growth is

Bacteria growth model N(t) = noe^{rt}

Where r is the growth rate

hence r = 0.45

              = 45%

b) Initial population of culture at t = 0

n(0) = 950e^{0.45(0)}

       = 950e^{0}

       = 950 bacteria

c) number of bacterial culture contain at t = 5

n(5) =  950e^{0.45(5)}

      = 950e^{2.25}

      = 9013.35

      = 9013 bacteria

6 0
4 years ago
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