11x° is interior angle of ladder to the ground
and 7X° is interior angle of ladder to the wall
exterior angle of a ladder to wall is 180-7x
and exterior angle of a ladder to ground is 180-11x
To calculate the remaining caffeine, we use the radioactive decay formula which is expressed as An = Aoe^-kt where An is the amount left after t time, Ao is the initial amount and k is a constant we can calculate from the half-life information. We do as follows:
at half-life,
ln 1/2 = -k(6)
k = 0.12/hr
An = 80e^-0.12(14)
An = 15.87 mg
Answer: A
Step-by-step explanation
2.167x10^4 = 21,670
= 9,978
1.1x10^6
1100,000
= 56,344,000
2.468×10^5 = 246,800
<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>
<h2>
Explanation:</h2><h2 />
First of all, let's calculate the area of the original rectangular garden:
Jake wants to increase the area by 50%, so the new area would be:
He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:
Finally:
<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>
<h2>Learn more:</h2>
Dilation: brainly.com/question/10945890
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Answer:
f(x) is negative and g(x) is positive
Step-by-step explanation:
f(x) = 4-x
Rewriting
f(x) = -x+4
We recognize this as
y= mx+b or the representation of a line with slope -1 and y intercept 4
f(x) is linear
g(x) as we increase x by 1 we increase g(x) by 2
The slope is 2, and the y intercept is 1
y = 2x+1
Lets check a point
(2,5)
5 = 2(2)+1
5=5 so we are correct
f(x) is negative and g(x) is positive
