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Lorico [155]
3 years ago
6

What value of k causes the terms 6, 4k, 26 to form an arithmetic sequence?​

Mathematics
2 answers:
Lerok [7]3 years ago
6 0

There are 3 values given,

Find the difference between the first and last values:

26 - 6 = 20

Divide that by 2:

20 / 2 = 10

The difference between each number needs to be 10, so adding 10 to the first number would be 6 +10 = 16

Now 4k = 16

Divide both sides by 4:

k = 16/4

k = 4

Julli [10]3 years ago
3 0

Answer:

k = 4.

Step-by-step explanation:

If it is arithmetic then the differences between consecutive terms will be equal, so:

4k - 6 = 26 - 4k

4k + 4k = 26 + 6

8k = 32

k = 32/8

k = 4.

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shusha [124]
  1. The kind of curve obtained is linear.
  2. The relationship between the variables is direct variation.
  3. After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
  4. The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.

In this exercise, you're required to plot a graph for the data (velocity and time) recorded for an object that is falling from rest.

Based on the graph for the data (see attachment), we can logically deduce the following points:

  • The kind of curve obtained is linear.
  • The relationship between the variables is direct variation.
  • After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
  • The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.

Read more on graphs here: brainly.com/question/25875680

#SPJ1

Complete Question:

Plot a graph for the following data recorded for an object falling from rest

a. What kind of a curve did you obtain?

b. What is the relationship between the variables?

c. What do you expect the velocity to be after 4.5 s?

d. How much time is required for the object to attain a speed of 100 ft/s?

7 0
2 years ago
Find the surface area of the prism or pyramid. Round to the nearest hundredth if necessary.
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Answer: 345.4

Step-by-step explanation:

SA=2πr^2+2πrh

SA=2(3.14)(5)^2+2(3.14)(5)(6)

SA=2(3.14)(25)+2(3.14)(30)

SA=2(78.5)+2(94.2)

SA=157+188.4

SA=345.4

4 0
3 years ago
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Fiesta28 [93]

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c. 0,100

Step-by-step explanation:

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Step-by-step explanation:

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Which set of equivalent fractions can be used when adding 7/8 and 5/12 ?
Crazy boy [7]

Answer: 84/96 and 40/96

Step-by-step explanation: You find a denominator that they both have in common. The LCM is 96 and you get the answer! You multiply 1 side by 8 and the other by 12 and you get the answer!

7 0
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