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Nadya [2.5K]
3 years ago
13

50 points!!! Find the 4 arithmetic means between -3.2 and 5.8. List answer with all numbers, state the common difference, and sh

ow your work as well please!! Thank you!!
Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0

Answer:

  • {-3.2, -1.4, 0.4 2.2, 4.0, 5.8}
  • common difference: 1.8

Step-by-step explanation:

The difference between the two numbers is ...

  5.8 -(-3.2) = 9

The four "means" divide this interval into 5 parts, so each part has a length of ...

  9/5 = 1.8 . . . . the common difference

The values of the "means" can be found by adding 1.8 successively:

  -3.2 +1.8 = -1.4

  -1.4 +1.8 = 0.4

  0.4 +1.8 = 2.2

  2.2 +1.8 = 4.0

Including the given numbers, the arithmetic sequence is ...

  -3.2, -1.4, 0.4, 2.2, 4.0, 5.8 . . . . . common difference of 1.8

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Look at image. reflection across the x-axis​
REY [17]

Answer:

H stays G  -2,-4    F -5,-3  are the new points

Step-by-step explanation:

3 0
3 years ago
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
The temperature at noon at a ski resort is 3 F . The temperature drops 8 F by midnight what is the temperature at midnight
DIA [1.3K]

Answer:

-5

Step-by-step explanation:

3 minus 8 equals -5

(20 characters needed)

4 0
3 years ago
Read 2 more answers
Which of these points lies on the circle with the center (2,3) and radius 2?
yan [13]

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

Center = (2, 3)

radius = 2

Process

1.- Find the equation of the line

              (x - h)² + (y - k)² = r²

-Substitution

              (x - 2)² + (y - 3)² = 2²  

-Simplification

              (x - 2)² + (y - 3)² = 4

-Evaluate the points in the equation

A. (4, 3)

              (4 - 2)² + (3 - 3)² = 4

                   2² + 0 = 4

                           4 = 4     This point lies in the circle

B (-1, 0)

              (-1 - 2)² + (0 - 3)² = 4

                        -3² + (-3)² = 4

                          9 + 9 = 4   This point is not part of the circle

C. (1, 3)

              (1 - 2)² + (3 - 3)² = 4

                 (-1)² + (0)² = 4

                            1 = 4          This point is not part of the circle

D. (3, 4)

              (3 - 2)² + (4 - 3)² = 4

                     1² + 1² = 4

                            2 = 4          This point is not part of the circle

5 0
3 years ago
Read 2 more answers
Find the exact value of the following. Do NOT use labels in your answer and do NOT round your answer. If three pens cost $5.67,
irga5000 [103]
You would do $5.67 divided by three. one pen is $1.89
3 0
3 years ago
Read 2 more answers
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