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horrorfan [7]
3 years ago
15

Last question of the day for 20 points :)

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0

Answer:

When x=0, y=4...

Therefore:

4=a*b⁰

b⁰=1, so a=4.

----------

When x=1, y=2...

Therefore:

2=4*b¹

4b=2

b=2/4

So... b=1/2.

This means that:

y=4*((1/2)^x)

Step-by-step explanation:

Jobisdone [24]3 years ago
6 0
When x=0, y=4...

Therefore:

4=a*b⁰

b⁰=1, so a=4.

----------

When x=1, y=2...

Therefore:

2=4*b¹

4b=2

b=2/4

So... b=1/2.

This means that:

y=4*((1/2)^x)
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In 2000, the total population of the U.S. was 281.4 million people. In 2010, it was 308.7 million people. What is the average ra
kifflom [539]

Answer:

2.73 million people per year

Step-by-step explanation:

Turn sentences into coordinates/points:

In 2000, 281.4 million people

  • (x₁, y₁) = (2000, 281.4)

In 2010, 308.7 million people

  • (x₂, y₂) = (2010, 308.7)

Rate of population per year:

\sf \dfrac{y_2 - y_1}{x_2- x_1} \ \  where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points

\rightarrow \sf \dfrac{308.7-281.4}{2010-2000}

\rightarrow \sf 2.73 \ million \ people

5 0
2 years ago
What type of triangle has side lengths 4, 4 squared 15, and 16?
zloy xaker [14]

Answer:

acute triangle

because you have 2 tall sides and 1 short

7 0
2 years ago
Which rectangular prism has the greatest volume?
Artyom0805 [142]

Answer:

you would get your answer by timesing all the numbers together, that it gives you.

Step-by-step explanation:

If my math is correct it would be the second one.


8 0
2 years ago
Read 2 more answers
Question 2 of 5
AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is f(n)=f(n-1)+d, f(1)=a,n\geq 2 and the explicit formula is f(n)=a+(n-1)d, where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is f(n)=rf(n-1), f(1)=a,n\geq 2 and the explicit formula is f(n)=ar^{n-1}, where a is the first term and r is the common ratio.

The first recursive formula is:

f(1)=5

f(n)=f(n-1)+5 for n\geq 2.

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

f(n)=5+(n-1)(5)

f(n)=5+5(n-1)

Therefore, the correct option is A, i.e., f(n)=5+5(n-1).

The second recursive formula is:

f(1)=5

f(n)=3f(n-1) for n\geq 2.

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

f(n)=5(3)^{n-1}

Therefore, the correct option is F, i.e., f(n)=5(3)^{n-1}.

The third recursive formula is:

f(1)=5

f(n)=f(n-1)+3 for n\geq 2.

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

f(n)=5+(n-1)(3)

f(n)=5+3(n-1)

Therefore, the correct option is D, i.e., f(n)=5+3(n-1).

6 0
3 years ago
Read 2 more answers
Can someone help me on this
tekilochka [14]

Answer:

the answers are

8) e. opposite sides

9) d. vertices

10) c. opposite angles

11) b. diagonals

12) a. consecutive sides

8 0
3 years ago
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