Answer:
Step-by-step explanation:
we know that
Using proportion
The solution of the given exponential equation is 0.688.
Given that Mike is working on solving the exponential equation 37ˣ = 12.
An exponential equation is an exponential equation where the power (or) part of the exponent is a variable.
firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:
aˣ = y
logₐy = x
Now, we will apply this transformation to our equation and we get
log₃₇12=x
Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:
x=log12/log37
So, this is an exact answer to given equation, but we can simplify it further by using decimal approximation of it using a calculator. Remember that these logs are base 10:
x≈1.079/1.568
x=0.688
Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.
Learn more about exponential equation from here brainly.com/question/24162621
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Answer:
y=0.25x
We can think of k as an unknown number.
8×_=2.00
12×_=3.00
20×_=5.00
If we divide 2 with 8 we are left with 0.25.
It's the same for the other numbers so we know the constant is 0.25.
When we use the formula y=0.25x with the numbers above, it is correct.
8×0.25=2.00
12×0.25=3.00
20×0.25=5.00
This is a trapezoid. It is a quadrilateral and only has 1 pair of parallel sides
So first of all we need to know that area is length times width
Area = L x W
since we know the area is 42 and the length is 12 lets plug those in
42 = 12 x W
now we dont know what W is yet but we can figure it out by dividing 42 by 12
42/12 = 3.5
So W = 3.5!
but its asking for the perimeter and we know that perimeter is all of the sides of the rectangle added up. Heres a picture
___3.5___
| |
| |
12 | | 12
| |
************
3.5
see now we just add those all up together:)
12 + 12 + 3.5 + 3.5 = 31!!
so our perimeter is 31 inches:)
have a good one
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