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Anastasy [175]
3 years ago
8

Simplify 11 to the power of negative 4 over 11 to the power of 8

Mathematics
1 answer:
AlekseyPX3 years ago
7 0

Answer:

1. 1 over 11 to the power of 12

Step-by-step explanation:

\huge \frac{ {(11)}^{ - 4} }{ {(11)}^{8} } \\  \\  \huge =   \frac{ 1}{ {(11)}^{8 + 4} }  \\  \\\huge  =   \frac{ 1}{ {(11)}^{12} }

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Stella graphs the equation y=1/3x – 2
faltersainse [42]

we have

y=\frac{1}{3}x-2

<u>Statements</u>

<u>case A)</u> The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

<u>case B)</u> The line passes through the origin.

The statement is False

Because the point (0,0) is not a solution of the equation

Verify

Substitute the value of x and y in the equation

0=\frac{1}{3}*0-2

0=-2 ------> is not true

the point (0,0) is not a solution

therefore

The line does not pass through the origin

<u>case C)</u> The line passes through the point  (0,-2)

The statement is True

Because the point (0,-2) is a solution of the equation

Verify

Substitute the value of x and y in the equation

-2=\frac{1}{3}*0-2

-2=-2 ------> is true

the point (0,-2) is a solution

therefore

The line passes through the point (0,-2)

<u>case D) </u>The slope of the line is 3

The statement is False

Because, the slope of the line is m=\frac{1}{3}

<u>case E)</u> The y-intercept of the line is 2

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

find the value of y

y=\frac{1}{3}*0-2=-2

the y-intercept is equal to -2


5 0
3 years ago
Read 2 more answers
At a sale at an electronics store, a plasma television originally priced at $500 is marked 15% off. What is its selling price.​
Liula [17]

Answer:Selling price is 425

Step-by-step explanation:

4 0
3 years ago
If a plane can travel 500 miles per hour with the wind and 400 miles per hour against the wind, find the speed of the wind and t
OLga [1]
Wind speed is 50 mph
8 0
3 years ago
What is the radius<br> and diameter
kotegsom [21]
Diameter- Is two times the radius. Circumference is the distance around the edge of the circle.

Radius- A line from the center of a circle to a point on the circle.

Hope this helped.
7 0
3 years ago
Read 2 more answers
on a large college campus, 84% of the students report drinking alcohol within the past month, 33% report using some type of toba
Natasha_Volkova [10]

Answer:  0.31

Step-by-step explanation:

Let A denotes the event that the students report drinking alcohol and B denotes the students report using some type of tobacco product .

Given : P(A) =0.84   ; P(B)=0.33    and        P(A∪B)=0.86

We know that P(A\cap B)=P(A)+P(B)-P(A\cup B)

Then, the probability that the student both drunk alcohol and used tobacco in the past month is given by :-

 P(A\cap B)=0.84+0.33-0.86=0.31

Hence, the probability that the student both drunk alcohol and used tobacco in the past month = 0.31

5 0
3 years ago
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