Answer:
You are correct the answer is 48.
Step-by-step explanation:
To begin solving this question you would want to start simplifying it to make it more understandable.
3^3 is 27 which now gives you 27 + 1 x 9 +12 which makes it easier to solve.
Then you would take 1 x 9 = 9 (multiply left to right)
Now it is simple addition
27 + 9 + 12 = 48
Hopefully this helps.
Answer:
The barge can carry up to 94 railroad cars.
Step-by-step explanation:
Create an inequality to represent the weight of the barge to the max weight.
24 + 4r ≤ 400
Solve for r:
4r ≤ 400 - 24
4r ≤ 376
4r ≤ 376/4
r ≤ 94
Answer:
The inverse for log₂(x) + 2 is - log₂x + 2.
Step-by-step explanation:
Given that
f(x) = log₂(x) + 2
Now to find the inverse of any function we put we replace x by 1/x.
f(x) = log₂(x) + 2
f(1/x) =g(x)= log₂(1/x) + 2
As we know that
log₂(a/b) = log₂a - log₂b
g(x) = log₂1 - log₂x + 2
We know that log₂1 = 0
g(x) = 0 - log₂x + 2
g(x) = - log₂x + 2
So the inverse for log₂(x) + 2 is - log₂x + 2.
Hello! I believe the Surface Area to a rectangular prism= 2(4x5+5x7+4x7). Let me know if i'm wrong. Anyways hope this helps!
Answer:
Step-by-step explanation:
From the figure attached,
If the figures shown are congruent (Equal in shape and size), length of all the sides must be equal.
Therefore, sides sides CD and GH must be equal in measures.
Distance between the two points 
and 
is given by,
d = 
Length of the side CD having ends C(-4, 4) and D(0, 5) will be,
CD = 
CD = 
= 
Length of GH having ends G(0, -4) and H(4, -5) will be,
GH = 
= 
=
Therefore, m(CD) = m(GH)
Similarly, we can prove all corresponding sides of two figures equal in measure.
This shows ABCD ≅ EFGH.
