Answer:
We have the sentence:
"X by the power of 5 times y to the power of 6 over 2 by the power of -2 times x by the power of 0times x by the power of 9"
Let's break it into parts.
"X by the power of 5 times y to the power of 6..."
This can be written as:
x^5*y^6
"... 2 by the power of -2 times x by the power of 0times x by the power of 9"
This can be written as:
2^(-2)*x^(0)*x^(9)
And we have the quotient between the first thing and the second thing, then the equation is:
And any number by the power of 0 is equal to 1, then:
x^0 = 1, then we can rewrite the equation as:
We can keep simplifying this.
We know that:
a^(-n) = (1/a)^(n)
Then:
2^(-2) = (1/2)^2 = 1/4
Then we get:
And we also know that:
a^n/a^m = a^(n - m)
Then:
And we can't simplify this anymore.
Answer:
y= -x+8
Step-by-step explanation:
slope int. form: y=mx+b
first, we need to find the slope (m)
the two points are (2,4) and (7,-1).
to find the slope we do (y2-y1)/(x2-x1)
doing this we get -5/5=-1
now we can plug in point (2,4) and the slope into y=mx+b
doing this we get:
4=-1(2)+b
4=-2+b
b=8
now we have the equation:
y= -x+8
Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%
Step-by-step explanation:
Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:
P(A)∩P(B)
thus from the example, independent events will be:
P(blue)=70%, P(green)=30%, P(blue and green)=21%
Because:
P(blue)∩P(green)=0.7×0.3=0.21=21%
24
The power 0 only affects the x. x^0 = 1
-2 * 1 = -2
25
Here everything inside the brackets is affected by the 0.
(11abx)^0 = 1 There is nothing left over.
26
(xy)^0 = 1
(pq)^0 = 1
1 - 1 = 0
Answer:
(PI* radius^2 * height) / 3
Volume = PI * 49 * 9 / 3
Volume = 461.8141200777 cubic feet
Volume = 461.81 cubic feet (rounded)
Step-by-step explanation:
