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Airida [17]
4 years ago
13

Simplify

Mathematics
2 answers:
Pachacha [2.7K]4 years ago
6 0
3^-9 / 3^-12
= 3^-9-(-12) (According to laws of exponents)

=3^3
Option (C)
Kisachek [45]4 years ago
3 0

3^-2 / 3^-12

= 3^12 / 3^9

= 3^(12 - 9)

= 3^3

Answer is C, 3^3

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Mr. Lin received a box of books in the shape of a rectangular prism. The volume of the box is 486 in 3. What is the width of the
GREYUIT [131]

Answer:

W = 9 inches.

Step-by-step explanation:

The volume of a rectangular prism is given by

V=whl

Where

w,h and l re width, height and length of rectangular prism

It is not mentioned that a box has a length of 18 inches and a height of 3 inches.

Using above formula.

486=w\times 18\times 3\\\\486=54w\\\\w=9\ \text{inches}

So, the width of the box is 9 inches.

5 0
3 years ago
Using the function in example 3, what is the y value (output) when x= -6?
PtichkaEL [24]

Answer:

2

Step-by-step explanation:

y=|x|-4

y=|-6|-4

y=6-4

y=2

(x,y) -> (-6,2)

8 0
3 years ago
One of the tables shows a proportional relationship.
beks73 [17]

Answer:

See attached

Step-by-step explanation:

The graph of a <u>proportional linear relationship</u> is a line that <u>passes through the origin</u> (0, 0).

From inspection of the given tables, the <u>linear equations</u> for each table of points is:

  • Table 1:  y = x + 1
  • Table 2:  y = x/2
  • Table 3:  y = x + 2
  • Table 4:  y = 2x + 1

The only equation for which y = 0 when x = 0 is y = x/2  →  Table 2.

Given points from Table 2:

  • (2, 1)
  • (4, 2)
  • (6, 3)
  • (8, 4)

To <u>graph the line</u>, plot the given points and draw a line through them (see attached).

5 0
2 years ago
The average rate of change of a function is less from = x equals 1 to = x equals 4 than from = x equals 5 to = x equals 8 . What
Allisa [31]

Answer:

Step-by-step explanation:

Given that,

Rate of change of a function

1. From x = 1 to x = 4

2. From x = 5 to x =8

Then,

Rate of change for first condition

∆x/∆t = (x2-x1) / (t2-t1)

∆x/∆t = (4-1) / (t2-t1)

∆x/∆t = 3 / (t2-t1)

Rate of change for second condition

∆x/∆t = (x2-x1) / (t2-t1)

∆x/∆t = (8-5) / (t2-t1)

∆x/∆t = 3 / (t2-t1)

The rate of change are equal, it shows that the slope are equal.

So, it is a straight line function.

Since it has equal rate of change..

8 0
4 years ago
Find an explicit formula for the geometric sequence 96, 24, 6, 1.5
kirill115 [55]

Answer:

This is a geometric sequence since there is a common ratio between each term. in this cade, multiplying the previous term in the sequence by 1/4 gives the next term.

Step-by-step explanation:

6 0
3 years ago
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