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Arturiano [62]
3 years ago
15

A student measures a rectangular room to be 20.0 m * 17.16m. which of the numbers below represents the room's area with the corr

ect number of significant figures
Mathematics
1 answer:
Lina20 [59]3 years ago
5 0
The area of the rectangle is calculated through the equation,
     A = L x W

in which A is the area, L is the length, and W is the width. Substituting the known values to the equation,
   A = (20.0 m)(17.16 m) = 343.2 m²

Since, the least number of significant figures in the multiplier is 3, our answer ought to be in 3 significant figures. The answer to this item is therefore 343 m². 
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Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
Makovka662 [10]

Given:

The geometric sequence is:

n              a_n

1                        -4

2                      20

3                     -100

To find:

The explicit formula and list any restrictions to the domain.

Solution:

The explicit formula of a geometric sequence is:

a_n=ar^{n-1}            ...(i)

Where, a is the first term, r is the common ratio and n\geq 1.

In the given sequence the first term is -4 and the second term is 20, so the common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{20}{-4}

r=-5

Putting a=-4,r=-5 in (i), we get

a_n=-4(-5)^{n-1} where n\geq 1

Therefore, the correct option is B.

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What is an equation of the line that passes through the points (6, 4) and (4,1)?
netineya [11]

Answer:

3/2 x-5

Step-by-step explanation:

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Suppose y varies directly with x, and y = 8 when x = –6. What direct variation equation relates x and y? What is the value of y
Agata [3.3K]
Given:
y varies directly with x
y = 8 when x = -6

what is the value of y when x = -2?

y = kx

we need to get the constant of variation.
8 = k(-6)
8/-6 = k
4/-3 = k or - 1 1/3

y = -4/3 (-2)
y = (-4*-2) / 3
y = 8 / 3
y = 2 2/3 OR 2.67

The correct answer is Choice B. y = -1.33x ; 2.67
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