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3 years ago

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

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

Statements

case A) The graph is a straight line.

The statement is True

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

case B) 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

case C) 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 $(0,-2)$

case D) The slope of the line is $3$

The statement is False

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

case E) 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

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 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