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ladessa [460]
2 years ago
9

The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively. find the common difference

Mathematics
1 answer:
Rzqust [24]2 years ago
4 0

The first term of the arithmetic progression exists at 10 and the common difference is 2.

<h3>How to estimate the common difference of an arithmetic progression?</h3>

let the nth term be named x, and the value of the term y, then there exists a function y = ax + b this formula exists also utilized for straight lines.

We just require a and b. we already got two data points. we can just plug the known x/y pairs into the formula

The 9th and the 12th term of an arithmetic progression exist at 50 and 65 respectively.

9th term = 50

a + 8d = 50 ...............(1)

12th term = 65

a + 11d = 65 ...............(2)

subtract them, (2) - (1), we get

3d = 15

d = 5

If a + 8d = 50 then substitute the value of d = 5, we get

a + 8 * 5 = 50

a + 40 = 50

a = 50 - 40

a = 10.

Therefore, the first term is 10 and the common difference is 2.

To learn more about common differences refer to:

brainly.com/question/1486233

#SPJ4

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skad [1K]
Average speed is the distance traveled by an object in total and divided by the amount of time an object covers the distance. The formula is -
Average speed = total distance traveled / total time taken
                         = 68km+64km / 2 hrs.+3hrs.
                         = 132km / 5hrs.
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5 0
3 years ago
A pentagon can be divided into five congruent triangles. The function t=5 tan theta models the height of each triangle. What is
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We assume that the dimension 5 has units of feet.

The area of each triangle will be
  A = (1/2)bh
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Then
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  A = 25×tan(54°) ft²

There are 5 such triangles making up this pentagon, so the total area is
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6 0
3 years ago
PLEASE HELP ME SOLVE THIS Find all x-values for which f ( x ) = 2 for the function below.
alisha [4.7K]

Answer:

<h3>x = -3</h3>

Step-by-step explanation:

First let us get the equation of the coordinates

y-y0 = m(x-x0)

Using the coordinates ( - 3, 2 ), ( - 1, 0 )

m = 0-2/-1-(-3)

m = -2/2

m = -1

Substitute m = -1 and (-1, 0) into the formula

y - 0 = -1(x+1)

y = -x-1

f(x) = -x-1

Since f(x) = 2

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x = -3

Hence the value of x is -3

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5 0
2 years ago
Suppose that qequals30​, Lequals5​, and Kequals15 is a point on the production function qequals​f(L, ​K). Is it posssible for qe
Kamila [148]

Answer:

No

Step-by-step explanation:

If q=30​, L=5​, and K=15 is a point on the production function q=​f(L, ​K).

Production function is an equation that expresses the relationship between the quantities of factors of production used and the amount of product obtained under the assumption that the most efficient available methods of production are used.

The combination q=30​, L=5​, and K=16 cannot be a point because we assume production functions are efficient.

7 0
3 years ago
Read 2 more answers
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