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Levart [38]
2 years ago
6

Find the quotient of (11 ^ 18)/(11 ^ 3)

Mathematics
1 answer:
astraxan [27]2 years ago
6 0

Answer:

The first choice, 11^{15}.

Step-by-step explanation:

The numerator, 11^{18}, is equivalent to eighteen "11" multiplied together:

11^{18} = \underbrace{11 \times 11 \times 11 \times 11 \times \cdots \times 11 \times 11}_{\text{$18$ in total}}.

On the other hand, the denominator, 11^{3}, is equivalent to three "11" multiplied with one another:

11^{3} = 11 \times 11 \times 11.

Dividing 11^{18} by 11^{3} would eliminate three "11" from the numerator:

\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & \frac{(11 \times 11 \times 11) \times \overbrace{11 \times \cdots \times 11}^{\text{$(18 - 3)$ in total}}}{(11 \times 11 \times 11)} \\ =\; & \overbrace{11 \times \cdots \times 11}^{\text{$15$ in total}} \\ =\; & 11^{15}\end{aligned}.

In general, dividing an expression by y^{b} (y \ne 0) is equivalent to multiplying that expression by y^{-b}.

For example, in this question, dividing 11^{18} by 11^{3} would be equivalent to multiplying 11^{18}\! by 11^{-3}. In other words:

\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & 11^{18} \times 11^{-3} \\ =\; & 11^{18 - 3} \\ =\; & 11^{15}\end{aligned}.

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Svetllana [295]

Answer: If the time is 3 1/2 years (most reasonable assumption)

Her initial deposit was $160

Step-by-step explanation:  The basic formula for simple interest is

<em>i = prt  i </em>is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.

For this question, you have to rearrange the equation to solve for p.

So divide both sides by rt and you have

p =  i/rt

Substitute the values given

p = 36.40/(0.065)(3.5)

8 0
3 years ago
Graph the function f(x) = -3x - 2.
Elza [17]

Answer: slope is -3 and y-intercept is -2

Step-by-step explanation:

when x= 0, y=-2

when x=1, y=-5

i believe you have just to change the value of the letter x in the equation to find the value of y

5 0
3 years ago
A woman is 10 times as old as her daughter. In 8 years she will be 4 times as old as her daughter. How old is the mother now?
jeka57 [31]

Answer:

Mom is 40 and her daughter is 4; in eight years, mom will be 48 and her daughter will be 12.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The circle shown below has a diameter of 18 centimeters. What is the area of the shaded sector?
N76 [4]
Area of circle = Pi x r*2

If diameter is 18, radius is 9.

Area = pi (3.14) x r*2 (9*2 = 81) .. 3.14 x 81 = 254.34 sq cen = total area of circle.

A circle is 360 degrees, the shaded area is 270 degrees. the shaded area is 3/4 (270/360) of the area of the circle.

254.34 x 3/4 = 190.755 sq cen

Hope this helps
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3 years ago
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Match the width with the given area and length of a rectangle.
torisob [31]

Answer:

5 cm A = 44cm; <u>w</u><u> </u><u>=</u><u> </u><u>8</u><u>.</u><u>8</u><u> </u><u>cm</u>

7.5 cm A = 48.75 cm2; <u>w</u><u> </u><u>=</u><u> </u><u>6.5</u><u> </u><u>cm</u>

5 cm A = 31.25; <u>w</u><u> </u><u>=</u><u> </u><u>6</u><u>.</u><u>2</u><u>5</u>

9.25 cm A = 55.5 cm; <u>w</u><u> </u><u>=</u><u> </u><u>6</u><u> </u><u>cm</u>

Step-by-step explanation:

What you have to do to find the answer is to take the length which for the first problem is 5 cm and then multiply the 5 by each width until you get the area. Example; Length <em>x</em> Width = Area

Basically you use the length times all of the widths until you match up the area.

Hope I could help

3 0
3 years ago
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