Step-by-step explanation:
slope = -9
y - -4 = 9(x - 2)
y+ 4 = 9x -18
y = 9x - 22
Answer:
GCF = 3
Step-by-step explanation:
Express the numbers as a product of their primes.
42 = 2 × 3 + 7
30 = 2 × 3 × 5
45 = 3 × 3 × 5
Identify the prime factors common to all 3 numbers.
common prime factor = 3 , thus
GCF = 3
Answer:
Step-by-step explanation:
Let the rate at which the bacteria grow be represented by the exponential equation
P(t) = P0e^kt
P(t) is the population of the bacteria after time t
P0 is the initial population
k is the constant of variation
t is the time
If the initial Population is 160 bacteria's, them the equation becomes;
P(t) = 160e^kt
b) if After 5 hours there will be 800 bacteria, this means
at t = 5 p(t) = 800
Substitute and get k
800 = 160e^5k
800/160 = e^5k
5 = e^5k
Apply ln to both sides
Ln5 = lne^5k
ln5 = 5k
k = ln5/5
k = 0.3219
Next is to calculate the population after 7hrs i.e at t = 7
P(7) = 160e^0.3219(7)
P(7) = 160e^2.2532
P(7) = 160(9.5181)
P(7) = 1522.9
Hence the population after 7houra will be approximately 1523populations
c) To calculate the time it will take the population to reach 2790
When p(t) = 2790, t = ?
2790 = 160e^0.3219t
2790/160 = e^0.3219t
17.4375 = e^0.3219t
ln17.4375 = lne^0.3219t
2.8587 = 0.3219t
t = 2.8587/0.3219
t = 8.88 hrs
Hence it will take approximately 9hrs for the population to reach 2790
Write 130 words about two plants in separate room and only talk to one will it grow faster. It wants me to describe your results and state the conclusion you can draw from these resultsWrite 130 words about two plants in separate room and only talk to one will it grow faster. It wants me to describe your results and state the conclusion you can draw from these resultsWrite 130 words about two plants in separate room and only talk to one will it grow faster. It wants me to describe your results and state the conclusion you can draw from these resultsWrite 130 words about two plants in separate room and only talk to one will it grow faster. It wants me to describe your results and state the conclusion you can draw from these resultsWrite 130 words about two plants in separate room and only talk to one will it grow faster. It wants me to describe your results and state the conclusion you can draw from these results<span>Write 130 words about two plants in separate room and only talk to one will it grow faster. It wants me to describe your results and state the conclusion you can draw from these results
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70%
12+27+91 = 130
91/130 = .7
.7x100 = 70%
___
.700
7.00
70.0
Answer is 70%
