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lubasha [3.4K]
3 years ago
14

Describe the slope of the line. Then find the slope (-2,-3) , (3,-3)

Mathematics
1 answer:
Vikentia [17]3 years ago
8 0
The slope would be 0 and it is a straight line line
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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
You have torn a tendon and are facing surgery to repair it. the surgeon explains the risks to you: the probability of infection
skad [1K]
P(most favorable outcome) = 1 -(0.03 +0.16 -0.01) = 0.82

_____
"repair fails" includes the "infection and failure" case, as does "infection". By adding the probability of "repair fails" and "infection", we count the "infection and failure" case twice. So, we have to subtract the probability of "infection and failure" from the sum of "repaire fails" and "infection" in order to count each bad outcome only once.

The probability of a good outcome is the complement of the probability of a bad outcome.
5 0
3 years ago
Express it in slope-intercept form.
natka813 [3]

Hey there! :)

Answer:

y = 1/4x - 3.

Step-by-step explanation:

Use the slope-formula to find the slope of the line:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in two points from the line. Use the points (-4, -4) and (0, 3):

m  = \frac{-3 - (-4)}{0 - (-4)}

Simplify:

m = 1/4.

Slope-intercept form is y = mx + b.

Find the 'b' value by finding the y-value at which the graph intersects the y-axis. This is at y = -3. Therefore, the equation is:

y = 1/4x - 3.

7 0
3 years ago
What is 6.25x + 7.50= 26.25
GarryVolchara [31]

Answer:

X = 3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Help please photo is above
Zina [86]

Answer:

y = 5

x = 10

Step-by-step explanation:

-4(2y) + 11y

-8y + 11y = 15

3y = 15

/ 3 /3

y = 5

x = 10

3 0
2 years ago
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