Answer:
x= 9 y=5
Step-by-step explanation:
hello :
use phtagor-rul :
y² = 3²+4²
y² =25
so : y=5
same method :
15²=12²+x²
x² =15²-12²
x² =225-144
x² = 81
so : x= 9
A population of aardvarks is growing at a rate of 2% per year, there are 714 aardvarks this year and 700 aardvarks were there last year.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the amount of aardvarks after x years.
It can be represented by the equation:
y = a(1.02)ˣ
If this year there are 714 aardvarks, the amount in the last year is:
714 = a(1.02¹)
a = 700
A population of aardvarks is growing at a rate of 2% per year, there are 714 aardvarks this year and 700 aardvarks were there last year.
Find out more on equation at: brainly.com/question/2972832
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Answer:
Step-by-step explanation:
a) The equation relating A to the amount left of an initial amount Upper A 0 after time t is
A(t) = A0e^(kt)
b) It is found that 18 lb of A will reduce to 9 lb in 4.2 hr. It means that
A0 = 18
A = 9
t = 4.2
Therefore, substituting into the formula, it becomes
9 = 18e^(4.2k)
9/18 = e^(4.2k)
0.5 = e^(4.2k)
Taking ln of both sides of the equation, it becomes
Ln0.5 = ln e^(4.2k)
- 0.693 = 4.2k
k = - 0.693/4.2
k = - 0.165
The equation becomes
A(t) = 18e^(- 0.165t)
For A = 1(1 lb left), then
1 = 18e^(- 0.165t)
1/18 = e^(- 0.165t)
0.056 = e^(- 0.165t)
Taking ln of both sides, it becomes
Ln0.056 = ln e^(- 0.165t)
- 2.88 = - 0.165t
t = - 2.88/-0.165
t = 17.5 hours
After 17.5 hours, 1 lb would be left
Answer:
186.5 miles
Step-by-step explanation:
google
17x = 85
x = 85/17
x = 5.
Hence x = 5 makes above equality true.
Hope this helps!
