Simplify the expression 256b − b by combining like terms.
1 answer:
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30 ounces of the coffee John likes consists of
ounces of water
ounces of cocoa
To this mixture we're adding ounces of water, so that the new mix has a total volume of
ounces and matches the composition of the coffee Lily likes. This means it would consist of
ounces of water
ounces of cocoa (same amount of cocoa as before because pure water is being added)
Solve for :
###
Just to confirm: the new mixture consists of
ounces of water
ounces of cocoa
giving a total volume of ounces of coffee, and
, as required.
Answer:
Proof in explanation.
Step-by-step explanation:
I'm going to attempt this by squeeze theorem.
We know that is a variable number between -1 and 1 (inclusive).
This means that .
for all value
. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.
By squeeze theorem, if
and , then we can also conclude that
.
So we can actually evaluate the "if" limits pretty easily since both are continuous and exist at .
.
We can finally conclude that by squeeze theorem.
Some people call this sandwich theorem.
Answer:
Step-by-step explanation:
The area of a sector with measure in degrees is given by
, where
is the radius of the sector.
What we're given:
of 5
of
Solving, we get:
*Notes:
- units should be in square meters (area)
- the problem does not say whether to round or leave answers in term of pi, so you may need to adjust the answer depending on what your teacher specifically wants