Answer:
4. 11/6, 121/36
5. 5/8, 25/64
6. 4/7, 16/49
7. 14/9, 196/81
Step-by-step explanation:
The ratio of perimeters is the same as the ratio of corresponding legs:
perimeter ratio = red leg/blue leg
The area ratio is the square of that:
area ratio = (perimeter ratio)²
__
<h3>4.</h3>
perimeter ratio = 11/6
area ratio = (11/6)² = 121/36
__
<h3>5.</h3>
perimeter ratio = 5/8
area ratio = (5/8)² = 25/64
__
<h3>6.</h3>
perimeter ratio = 4/7
area ratio = (4/7)² = 16/49
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<h3>7.</h3>
perimeter ratio = 14/9
area ratio = (14/9)² = 196/81
Answer:
x=1
y=1
Step-by-step explanation:
-3x+4=3x-2
-3x+3x+4=3x+3x-2
4=6x-2
4+2=6x-2+2
6=6x
x=1
y=3(1)-2
y=1
From the calculation, the growth rate is 0.88.
<h3>What is the growth rate?</h3>
To find the relative growth rate
P1 = Poe^rt
P2 = Poe^rt
Thus;
1920 = Poe^4r ------ (1)
1966080 =Poe^12r -------(2)
P2/P1 gives;
1966080/1920 = Poe^12r/Poe^4r
1024 = e^12r/e^4r
1024 =e^8r
1024 = (e^r)^8
2^10 = (e^r)^8
e^r = 2^1.25
e^r = 2.38
r = ln(2.38)
r = 0.88
The initial size of the culture is;
1920 = Poe^(0.88 * 4)
Po = 1920/e^(0.88 * 4)
Po = 57
The expression for the exact number of bacteria after t hours is
P(t) = 57e^0.08t
The growth (in bacteria per hour) after 9.5 hours is
P(t) = 57e^(0.88 * 9.5)
P(t) = 243544
For the number to reach 72,000;
72,000 = 57e^0.88t
72,000/57 = e^0.88t
ln 126 = ln[e^0.88t]
4.8 = 0.88t
t = 4.8/0.88
t = 5.5 hours
Learn more about exponential growth;brainly.com/question/13674608
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Anything more or less than 1 would result in a different outcome, and anything times 1 results in itself.
Number 1 The population of bacteria triples every day.
