Answer:
Step-by-step explanation:
-1+8=7
Answer: 72 feet
Step-by-step explanation:
24 yards= 72 feet
1) Convert mixed fractions into fractions.
6 2/5 = ((6*5) + 2) / 5 = 32 / 5
2 2/3 = ((2*3) + 2) / 3 = 8 / 3
2) 32 / 5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction
a) Get the reciprocal of the 2nd fraction:
From 8/3 to 3/8
b) Multiply 1st fraction to the reciprocal of the 2nd fraction
32 / 5 * 3 / 8 = (32*3) / (5*8) = 96 / 40
c) Simplify the fraction.
96 / 40 divide by 4 will become 24/10.
24 / 10 divide by 2 will become 12 / 5. The simplified fraction of 96/40.
The unit rate is 12 / 5 = 2 2/5 revolutions per second.
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Area of the rectangle is equal to length times width
In function notation, the Area of the rectangle function is a function in variables l (length) and w(width) as follows:
A(l, w)= l*w
for A=475 we have,
l*w=475

or

, each are equivalent, and each represent the inverse variation.
Answer:

,
The general form of a solution of the differential equation is already provided for us:

where
. We now want to find a solution
such that
and
. Therefore, all we need to do is find the constants
and
that satisfy the initial conditions. For the first condition, we have:
For the second condition, we need to find the derivative
first. In this case, we have:

Therefore:

This means that we must solve the following system of equations:

If we add the equations above, we get:

If we now substitute
into either of the equations in the system, we get:

This means that the solution obeying the initial conditions is:

Indeed, we can see that:


which do correspond to the desired initial conditions.