First off, let's change the format of the percentage to decimal.. so 35% is just 35/100 or 0.35 and 40% is 40/100 or 0.4 and so on.

now, whatever "x" amount is, we know that x + 10 must add up to "y". x + 10 = y, because both quantities added will give the mixture amount.
and whatever 0.35x + 4 = 0.37y, because both concentrated amounts must give the 37% of the mixture.

solve for "x", to see how much of the 35% solution will be needed.
what about "y"? well, x + 10 = y.
We assume the base is 12 in × 20 in, so its diagonal has length
... √(12² +20²) = √(144 +400) = √544 = 4√34 . . . inches
Then the tangent of the angle of interest is the ratio of the box height to the base diagonal:
... tan(α) = (7 in)/(4√34 in) ≈ 0.300123
The angle will be the arctangent of this value,
... α = arctan(7/√544) ≈ 0.291569 radians
Answer:
This series is divergent
F
Step-by-step explanation:
we are given a series
Firstly, we will find nth term
Numerator:
3, 4, 5,...
so, nth term will be

Denominator:
4,5,6,....
so, nth term will be

so, we can find it's nth term as

we can use divergent test

we can divide top and bottom by n


now, we can plug n=inf


Since, it is non-zero value
so, this series is divergent
LCM: <span>2 x 2 x 2 x 3 x 7 = 168</span>
GCF: 3