Answer:
Appears to be A with a typo.
Should be 
Step-by-step explanation:
To evaluate or simplify expressions with exponents, we use exponent rules.
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
Answer:
Explained below.
Step-by-step explanation:
The random variable <em>X</em> is defined as the number of stars in a given volume of space.
The probability mass function of <em>X</em> is:
(7)
Compute the probability of exactly two stars in 16 cubic light-years as follows:
(8)
Compute the probability of three or more stars in 16 cubic light-years as follows:
(9)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in 4 cubic light years there will be, 4 × (1/16) = (1/4) stars.
(10)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in <em>t</em> cubic light years there will be, [<em>t</em> × (1/16)] stars.
The option first “shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3” is correct.
<h3>What is linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a function f(x) = x
The above function represents a linear function.
As we can see in the graph of a function g(x)
f(x) = x
First shift right 1 unit
f(x) = x -1
Then reflect over y-axis
f(x) = -x - 1
Then stretch by a factor of 3
f(x) = -3x - 1
Thus, the option first “shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3” is correct.
Learn more about the linear equation here:
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20 celsius is 68 fahrenheit
The computation of the equation shows that the answers will be:
12. 340 units
13. 2(270) + (2 × x) = 690
14. x = 5
<h3>How to compute the equations?</h3>
12. The first equation that's given will be:
(13.50 × x) - (3.65 × x) = 3349
13.50x - 3.65x = 3349
9.85x = 3349
x = 3349/9.85
x = 340
The number to break even is 340 units
13. The equation that can be used to find the perimeter will be:
2(270) + (2 × x) = 690
540 + 2x = 690
2x = 690 - 540
2x = 150
x = 150/2 = 75
14. x + x + 2 + 8 = 20
2x + 10 = 20
2x = 20 - 10
2x = 10
x = 10/2
x = 5
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