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nasty-shy [4]
2 years ago
14

Use the geometic sequence to answer the following questions: 3, 9, 27, .....

Mathematics
1 answer:
asambeis [7]2 years ago
7 0
Each number is multiplied by 3

So next in sequence is 81, 243, 729
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Edward is collecting data on the average length of lizards from head to tail for a particular generation. Initially, the average
Zina [86]

Answer:

The general form of a natural logarithmic function is <em>f(x)=a In(x-h) +k.</em> Since the initial average length of the lizards was 20 centimeters, one possible point (h+1,k) through which the function passes is (0,20).

In this case, h= -1 since h +1 = 0 and k = 20.

It follows that x - h = (-1) = x + 1.

So, the function takes the form <em>f(x) = a In(x + 1) +20. </em>

The average length of the lizards after 2 years is 22.197. So f(2) =22.197. We substitute this value into the function

Step-by-step explanation:

<em>f(2) = a In(2 +1) +20 </em>

<em>22.197 = a In(3) + 20 </em>

<em></em>\frac{2.197}{1.099}<em>≈ a </em>

<em>2 ≈ a</em>

So the function that represents the average length of the lizards across this generation is <em>f(x) = 2 In(x+1) +20 </em>

3 0
3 years ago
The parallelogram below is being covered with carpet. The carpet is priced at $2.80 per square meter. How much will it cost to c
Sloan [31]

Answer:

<em><u>$79.38</u></em>

Step-by-step explanation:

Find the diagram of the question attached

Area of the parallelogram = Base * Height

Given

Base = 8.1m

Height = 3.5m

Area of the parallelogram = 8.1 * 3.5

Area of the parallelogram = 28.35m²

If the carpet is priced at $2.80 per square meter, then;

1m² = $2.80

28.35m² = x

x = 28.35 * 2.80

x = $79.38

<em><u>Hence the cost of the carpet is $79.38</u></em>

7 0
2 years ago
Shawna bought a bag of candy. She ate of the bag on Friday and of the bag on Saturday. What portion of the bag is left?
vodka [1.7K]

Answer:

I believe it would be A hope this helps!

Step-by-step explanation:

5 0
2 years ago
Suppose the average temperature for a 4‐day period in Chicago, Illinois, is ‐8Ԭ. After the next day, the 5‐day average is ‐9Ԭ. W
exis [7]

Answer:

-13

Step-by-step explanation:

Given that:

Average temperature for a period of 4 days = - 8

Average temperature for a 5 day period = - 9

Temperature on the 5th day:

(total temp for the 4 days + 5th day temperature) / 5 = - 9

Let 5th day temperature = x

Total temperature for the 4 days = 4 * - 8 = - 32

(-32 + x) / 5 = - 9

-32 + x = - 45

x = - 45 + 32

x = - 13

4 0
2 years ago
What is the range of f(x) = 3x + 9?
Lera25 [3.4K]
From the given options we can think that x is
in the exponent of 3.
So, the given function is actually f(x) = 3^x +9
Now, we need to find the range of given
function.
We can see that first term is and exponential
term 3^x and second term is 9
We know that 3^x will always be greater than
O.
Therefore, 3^x +9 would always be greater
than 9.
Therefore, range would be y>9.
So, the correct option is B) (y | y > 9}.
5 0
2 years ago
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