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forsale [732]
2 years ago
8

Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5​

Mathematics
1 answer:
Kitty [74]2 years ago
6 0
<h3>Answer:</h3>

1.9

Step-by-step explanation:

<h3>The above is direct and inverse variation.</h3>

A = kB/C -----------(1)

A=12

B = 3

C= 2

substitute A, B and C into equation (1).

12 = K × 3/2

12 = 3k/2

12×2 = 3k

3K = 24

dividing bothsides by 3

3K/3 = 24/3

K = 8

substitute K = 8 into equation (1)

A = 8B /C --------------(2)

Equation (2) is the equation connecting

A,B and C.

Finding B when A = 10 and C = 1.5

10 = 8B / 1.5

10× 1.5 = 8B

15 = 8B

Dividing bothsides by 8 :

B = 15/8

B = 1.875

B = 1. 9 ( approximately)

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alina1380 [7]

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<h2>1.1</h2>

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OR (in more details):


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Find n(A) for A={0,1,2,3,...,2000}
miskamm [114]
There are 2001 items in that set.

So n(A) = 2001

We can individually count them all out, which is very slow and tedious, or we can use the formula
n-m+1

where,
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In this case,
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7 0
3 years ago
It's not a college assignment!
Kisachek [45]

Using a calculator, the equation for the line of best fit where x represents the month and y represents the time is given by:

a. y = −1.74x + 46.6

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points (x,y) are given as follows, from the given table:

(1, 46), (2, 42), (3,40), (4, 41), (5, 38), (6,36).

Hence, inserting these points in the calculator, the equation for the line of best fit where x represents the month and y represents the time is given by:

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2 years ago
Find the common ratio and an explicit form in each of the following geometric sequences.
Margaret [11]

Answer:

The explicit form is a_{n}=162(2/3)^{n-1}

Step-by-step explanation:

The explicit form of a geometric sequence is given by:

a_{n}=ar^{n-1}

where an is the nth term, a is the first term of the sequence and r is the common ratio.

In this case:

a=162

The value of the common ratio is obtained by dividing one term by the previous term.

For the first and second terms:

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For the second and third terms (In order to prove that 2/3 is the common ratio)

72/108=2/3

Therefore:

r=2/3

Replacing a and r in the formula:

a_{n}=162(2/3)^{n-1}

7 0
3 years ago
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