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Anna71 [15]
3 years ago
15

Which properties of logarithms help you simplify log 200 + log 5 - log 100? (Select all that apply.)

Mathematics
1 answer:
bearhunter [10]3 years ago
5 0

Answer:quotient property

Product property

Step-by-step explanation:

Just took the test

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The plot below shows the graphs of three functions, f, g, and h, all of which determine the population of three different cities
monitta

So, here we have an exponential function.

Remember that an exponential function has the form:

y=a(b)^x=a(1\pm\frac{r}{100})^x

Where a represents an initial amount, and r is the rate of this amount to change. (Increase, or decrease).

So, given that the population of City A in 2000 was 40 thousand people and the population increased by 13% each year, we can say that

\begin{gathered} a=40 \\ b=1+\frac{13}{100}=1.13 \end{gathered}

So,

f(x)=40(1.13)^x

For city B:

\begin{gathered} a=40 \\ b=1+\frac{16}{100}=1.16 \\ g(x)=40(1.16)^x \end{gathered}

But something different happens with city C. This is not an exponential function, this is a linear function.

So,

h(x)=40+10x

7 0
1 year ago
I really, REALLY need help. I will give brainliest to whoever figures it out.
Finger [1]

Answer:

79.5 + 5.5x = Y

Step-by-step explanation:

Sumo wrestler gained 5.5 kg per month

After 11 month, he weighed 140 kg.

Let x be his current weight.

Then x + 11(5.5) = 140

  x = 140 - 60.5

  x = 79.5

If Y is the weight of the wrestler after t months, then the linear equation would be:

 79.5 + 5.5t = Y

5 0
3 years ago
I NEED HELP WITH THIS ASAP!! Please!
ziro4ka [17]

Answer:

f(g(x)) = 3(2x^3 -2)^2 - 4x + 2, and f(g(3)) = 3[2(3)^3 -2]^2 -4*3 -2 = 8102

Step-by-step explanation:

because for f(g(x)), the g(x) is the input of f(x), so put 2x^3 -2 into 3x^2 -4x +2, and you will get f(g(x)). because g(3) is the input of f(x), so find g(3) first, the answer is 52, and then put it back into f(x) which will be f(52) =[3(52)^2 - 4(3) +2], then the answer should be 8102.

8 0
3 years ago
A set of cards includes 20 yellow cards, 16 green cards, and 24 blue cards. What is the probability that a blue card is chosen a
baherus [9]

Answer:

Blue cards

Step-by-step explanation:

Because that is the highest amount so it is most likely youll get that one.

7 0
3 years ago
Determine the slope of each line.
faust18 [17]
(2,-2)(5,7)

7-(-2)= 9
5-2= 3
9/3= 3

slope = 3

(you could also calculate the slope by just counting up how many units it goes up/down when you pick a point from the x-axis and move left/right. basically counting the rise over run)
7 0
3 years ago
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