What are the common factors of 42 and 28
2 answers:
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Answer:
Width = 6.5 inches
Length = 10.5 inches
Step-by-step explanation:
Let
"l" be length of rectangle
and
"w" be width of rectangle
Since length of rectangle is 4 inches MORE THAN WIDTH, we can write:
l = 4 + w
The perimeter is sum of all sides, so
Perimeter = l + l + w + w = 2l + 2w
The perimeter is 34, so we can write:
2l + 2w = 34
Putting 1st equation in 2nd, we get equation in "w" and solve for this first:
Width is 6.5 in
Now, l = 4 + w, so
l = 4 + 6.5 = 10.5
Length is 10.5 in
It will take 8 seconds for all of the dominoes to fall over.
This will be an exponential function. To find the growth rate, we can write out the terms of the sequence that goes along with it: 10, 20, 40, ...
"Growth rate" is the same as percent of increase or decrease. We find the amount of increase and divide by the original amount: 20-10 = 10 increase; 10/10 = 1.
The exponential function is of the form
f(x) = a*(1+r)ˣ, where a is the initial value (10), r is the growth rate (1), and x is the number of time periods. Using the variables given to us in the problem along with this information, we have:
Divide both sides by 10:
We will use logarithms to solve this:
This will be an exponential function. To find the growth rate, we can write out the terms of the sequence that goes along with it: 10, 20, 40, ...
"Growth rate" is the same as percent of increase or decrease. We find the amount of increase and divide by the original amount: 20-10 = 10 increase; 10/10 = 1.
The exponential function is of the form
f(x) = a*(1+r)ˣ, where a is the initial value (10), r is the growth rate (1), and x is the number of time periods. Using the variables given to us in the problem along with this information, we have:
Divide both sides by 10:
We will use logarithms to solve this: