Answer:
f(g(x))=x
G(f(x))=x
Step-by-step explanation:
f(x)=8x
g(x)=x/8
f(g(x))
f(x/8)
8x/8
x
g(f(x))
g(8x)
8(x/8)
x
Answer:
a) 20 more people said their favorite vehicle color was blue compared to those who said white.
b) 55 people said their favorite vehicle color was either black or silver
Step-by-step explanation:
(a). How many more people said their favorite vehicle color was blue compared to those who said white explain?
250 people
32% said blue. 32% of 250 is 0.32*250 = 80
24% said white. 24% of 250 is 0.24*250 = 60
80 - 60 = 20
20 more people said their favorite vehicle color was blue compared to those who said white.
(B) how many people said their favorite vehicle color was either black or silver ?
18% said black, 4% said silver.
18 + 4 = 22% of 250 = 0.22*250 = 55
55 people said their favorite vehicle color was either black or silver
P(t) = P₀ e^(kt)
<span>Where P₀ is the initial population, </span>
<span>P(t) is the population after "t" time. </span>
<span>t is your rate (can be hours, days, years, etc. in this case, hours) </span>
<span>k is the growth constant for this particular problem. </span>
<span>So using the information given, solve for k: </span>
<span>P₀ = 2000 </span>
<span>P(4) = 2600 </span>
<span>P(t) = P₀ e^(kt) </span>
<span>2600 = 2000e^(k * 4) </span>
<span>1.3 = e^(4k) </span>
<span>Natural log of both sides: </span>
<span>ln(1.3) = 4k </span>
<span>k = ln(1.3) / 4 </span>
<span>Now that we have a value for "k", use that, the same P₀, then solve for P(17): </span>
<span>P(t) = P₀ e^(kt) </span>
<span>P(17) = 2000 e^(17ln(1.3) / 4) </span>
<span>Using a calculator to get ln(1.3) then to simplify from there, we get: </span>
<span>P(17) ≈ 2000 e^(17 * 0.262364 / 4) </span>
<span>P(17) ≈ 2000 e^(4.460188 / 4) </span>
<span>P(17) ≈ 2000 e^(1.115047) </span>
<span>P(17) ≈ 2000 * 3.0497 </span>
<span>P(17) ≈ 6099.4 </span>
<span>Rounded to the nearest unit: </span>
<span>P(17) ≈ 6099 bacteria hope i could help =)))</span>
$1.49 3ft or $.69 1.5ft
69*2=138
$149 for 3ft or $1.49 1.5ft
options two are better buys
Answer: At least 8
Reason: A week has 7 days in it, so when you divide 81 by 7, you get 7.5, so when you round it, you get the number 8
<u><em>If you have any questions, corrections, or problems, let me know. I hope this helped</em></u>