Answer:
x: weight in kilograms
y: distance stretched in inches
proportionality constant:
Step-by-step explanation:
Answer:
The similar triangles are and
and
Step-by-step explanation:
Given
See attachment for the required figure
Solving (a): The similar triangles
The similar triangles are and
Solving (b): Why they are similar
Both triangles are similar because is dilated (i.e. enlarged) and then reflected to give .
Solving (c): Calculate BE and PE
The following are equivalent ratios
and
Solving for BE, we have:
Substitute the known values
Express as fraction
Multiply both sides by 450
-- approximated
Solving for PE, we have:
Substitute known values
Express as fraction
Multiply both sides by 400
60*80/100-$10*155/100
48-$10*155/100=$58.90
When dividing these, the powers are subtracted form each other.
We could split up the fraction into r's, s's, and t's.
r^-3 / r^2 = r^-5 [think of it as -3 -2]
s^5 / s = s^4
t^2 / t^-2 = t^4 [2 - - 2 = 4]
A negative power places it on the bottom of the fraction and the minus sign is removed from the power.
So the answer is A: (s^4)(t^4)/r^5
<span>Formula for exponential decay is:
N = No * e^-kt
N = 1/2(45) = 22.5
No = 45
k = 0.1109
The solution to your problem is as follows:
Let's try to solve the half-life if it is 45 grams, after which, you will now have an idea on how to solve the problem.
22.5 = 45 * e^(-0.1109t)
1/2 = e^(-0.1109t)
ln(1/2) = -0.1109t
t = (ln(1/2))/(-0.1109) = 6.25 days
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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