∛x^5 y
= (x)^5/3 y^1/3
answer
B. second option
surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
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you have:
L = 7
W = a
H = 4
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formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
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answer is:
S = 22*a + 56 (equation 2)
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to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
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since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = 15
H = 4
-----
equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
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surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
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Step-by-step explanation:
Slope Intercept Form is "y = mx + b"
What it means?
"m" - slope
"b" - y intercept (0,b)
So, we are given the slope, but not the y intercept..
For now, lets fill in the slope.
y = 1/4x + b
We are given a coordinate pair (-2,-1)
Fill it into the equation and solve for b.
-1 = 0.25(-2) + b
-1 = -0.50 + b
- 0.50 = b
We now have the value of "B"
Fill in the rest of the equation:
y = 1/4x + -.50
^ I think that is correct, sorry if it's wrong.
Answer:
Step-by-step explanation:
Assuming you want to find the value of n.
Remember when bases are same exponents can be made equal
Here the bases are different
because notice on one side there is p/q and on the other q/p
what can we do to make them same?
You can invert the any side you want either make leftside as q/p or make right one as p/q
I will make left side as q/p
All you do is flip the denominator and numerator to do so. But that can only be done if you put a (-1) in the exponent
so underroot p/q means (p/q)^1/2 when i make it q/p
a negative one needs to be put in the exponent. That -1 when multiplied by 1/2 makes it -1/2
Now the bases are same such like.
See now the bases are same, the powers can be made equal
so
-1/2=1-2n
here n is the variable we need to find
rearrange the equation
n=3/4
Which is the initial value of the function represented by this graph?
1
5
6
7
answer : 1
