Answer:72 are boys.
Step-by-step explanation:
40%of 180 is 72.
Red candle:
Initial height = 8 in
Burn rate = 710 in/h
After x hours, the height will be
h₁ = 8 - 710x
Blue candle:
Initial height = 6 in
Burn rate = 15 in/h
After x hours, the height will be
h₂ = 6 - 15x
When the two heights are equal, then
h₁ = h₂
8 - 710x = 6 - 15x
-695x = -2
x = 0.00288 hours
Answer:
The answer may take one of these forms:
0.003 hours, or
0.0029 hours, or
0.00288 hours.
Answer:

Step-by-step explanation:
The question to be solved is the following :
Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if
. Recall that given two vectors a,b a⊥ b if and only if
where
is the dot product defined in
. Suposse that
. We want to find γ such that
. Given that the dot product can be distributed and that it is linear, the following equation is obtained

Recall that
are both real numbers, so by solving the value of γ, we get that

By construction, this γ is unique if
, since if there was a
such that
, then

Answer:
first one
Step-by-step explanation:
trust me im doing these too