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Flauer [41]
3 years ago
8

The temperature of a cooling liquid over time can be modeled by the exponential function T(x) = 60(1/2)^(x/30) + 20, where T(x)

is the temperature in degrees Celsius, and x is the elapsed time in minutes. Graph the function and determine how long it takes for the temperature to reach 28°C. What was the initial temperature?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0
Based on the scenario, the initial temperature would be :

28 = (60) (1/2)^x/30 + 20
 
(60) (1/2)^0/30 + 20 = 60 + 20 = 

80 C

Hope this helps
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Dmitrij [34]
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4 0
3 years ago
Factor the expression 2x4y – 18x2y3 completely.
Annette [7]

Answer:

B. 2x2y(x – 3y)(x + 3y)

Step-by-step explanation:

2 {x}^{4} y - 18 {x}^{2}  {y}^{3}  \\  = 2 {x}^{2} y( {x}^{2}  - 9 {y}^{2} ) \\  = 2 {x}^{2} y \{ {x}^{2}  -  {(3y)}^{2} \} \\  \purple {\boxed{ \bold{ = 2 {x}^{2}  y(x - 3y)(x + 3y)}}}

5 0
3 years ago
Read 2 more answers
Segments AB, EF, and CD intersect at point C, and angle ACD is a right angle. Find the value of g. Please help me
iogann1982 [59]

Answer:

37 degree

Step-by-step explanation:

AB = 180 it is a straight line

ACD = 90 degree

DE+ DCB are complimentary angles they add up to 90 they dont need to be next to each other.

DE = 53 deg

DCB = 90-53= 37 degree

g = 37 and F is its vertical angle as they share the same corner point and lay opposite each other and each have same angle 37 degree.

8 0
3 years ago
1 cup is equal to 8 fluid ounces. How many fluid ounces are in 3 cups, 3 fluid ounces?
Gnesinka [82]

Answer:

If one cup is 8 then 3 cups is 24

Step-by-step explanation:

This can be solved by multiplying:

1*8=8

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4 0
3 years ago
The probability that a company will launch the product A and B are 0.45 and 0.60 respectively, in main while, probability that b
Brrunno [24]

Answer:

a) what is the probability that Neither will of these products launch ?

= 0.30

b) At least one product will be launched ?

= 0.70

Step-by-step explanation:

From the above question, we have the following information:

P(A) = 0.45

P(B) = 0.60

P(A ∩ B) = P(A and B) launching = 0.35

Step 1

We find the Probability that A or B will launch

P (A ∪ B) = P(A) + P(B) - P(A ∩ B)

= 0.60 + 0.45 - 0.35

= 1.05 - 0.35

= 0.70

a) what is the probability that Neither will of these products launch ?

1 - Probability ( A or B will launch)

= 1 - 0.70

= 0.30

b)At least one product will be launched?

This is equivalent to the probability that A or B will be launched

P (A ∪ B) = P(A) + P(B) - P(A ∩ B)

= 0.60 + 0.45 - 0.35

= 1.05 - 0.35

= 0.70

3 0
3 years ago
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