9514 1404 393
Answer:
(x, y) = (5, -4)
Step-by-step explanation:
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(x, y) = (5, -4)
Answer:
see explanation
Step-by-step explanation:
(1)
The common ratio r of a geometric sequence is
r = = , so
= ( cross- multiply )
(x + 1)² = x(x - 1) ← expand both sides
x² + 2x + 1 = x² - x ( subtract x² - x from both sides )
3x + 1 = 0 ( subtract 1 from both sides )
3x = - 1 ( divide both sides by 3 )
x = -
(2)
r = = = = -
(3)
If - 1 < r < 1 then the sequence will converge
r = - meets this criteria , thus the sequence is convergent
Answer:
33
Step-by-step explanation:
33 appears most.
Answer: 3.5 in
Step-by-step explanation
∡DOC=90°
DC=7
OC=5
Using Pytagora equation:
DO=√DC²-OC²
DO=√49-25
DO=2√6
Use Equation for area of triangle:
area of ΔDOC=a*Ha/2
DC=a=7
Ha=x---hight of ΔDOC
Area of ΔDOC=DO*OC/2
2√6*5/2=5√6
5√6=7*x/2
10√6=7*x
x=10/7√6
x=24.5/7
X=3.5 in
The equation s(n) = 20.bn is an exponential equation, and the hourly percent growth rate of the bacteria would be 85%.
<h3>How to determine the hourly percent growth rate?</h3>
The value of b is given as:
b = 1.85%
Let the hourly percent growth rate of the bacteria be r.
So, we have:
b = 1 + r
Substitute b = 1.85%
1.85 = 1 + r
Subtract 1 from both sides
r = 0.85
Express as percentage
r = 85%
Hence, the hourly percent growth rate of the bacteria would be 85%.
Read more about exponential equations at:
brainly.com/question/11832081
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