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grandymaker [24]
2 years ago
12

Find the equation of a line that contains the points (−3,−1) and (−4,−7). Write the equation in slope-intercept form

Mathematics
1 answer:
kipiarov [429]2 years ago
6 0

Answer:

is the answer

11 upon 4 (11/4)

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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
2 years ago
Solving two step equations w/-3+14=5
natali 33 [55]

w/–3 + 14 = 5

⇛ w/–3 = 5 – 14

⇛ w/–3 = – 11

⇛ w = –11 × (–3)

⇛ w = 33

7 0
2 years ago
In one soccer season, a goalie saved 150 out of
Maru [420]

Answer:

0.81 (rounded to the nearest hundredth) & 81%

Step-by-step explanation:

150/185 = 30/37 ≈ 0.81 (rounded to the nearest hundredth)

0.81 is 81%

7 0
1 year ago
Ed wants to buy a large bag of dog food for $41.00. If sales tax is 7%, how much tax will he have to pay.
Galina-37 [17]

Answer:

The answer is 43.87

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Su
valentinak56 [21]

Answer:

25 mpg

Step-by-step explanation:

We have a set of values 19, 21, 22, 28  and 18  

The average (which is the mean of the set of values )  is :

19 + 21 + 22 + 28 + 18 = 21.6 mpg   out of the government requirement

So we need a value such as the mean become at least 25 mpg

We have to solve the equation:

(19+21+22+28+ x)/ 5  = 25

 (90 + x ) /5  = 25       ⇒   90 + x = 125   ⇒   x = 35 mpg

If we get the mean of the set of values including 35 we have:

(19 +21+ 22+ 28 + 35 ) / 5   =  25 mpg  government requirement

7 0
3 years ago
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