2 years ago

Which equation represents exponential decay? A. y=100 (31)

Mathematics

1 answer:

Serjik [45]2 years ago

8 0

Answer:

Step-by-step explanation:

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In an arithmetic sequence, the nth term an is given by the formula An=a1+(n−1)d, where a1

Gnesinka [82]

Answer:

Step-by-step explanation:

We are given that in arithmetic sequence , the nth term $a_n$ is given by the formula

$A_n=a_1+(n-1)d$

Where $a_1=first term$

d=Common difference

In an geometric sequence, the nth term is given by

$a_n=a_1r^{n-1}$

Where r= Common ratio

1,4,7,10,..

We have to find 30th term.

$a_1=1,a_2=4,a_3=7,a_4=10$

$d=a_2-a_1=4-1=3$

$d=a_3-a_2=7-4=3$

$d=a_4-a_3=10-7=3$

$r_1=\frac{a_2}{a_1}=\frac{4}{1}=4$

$r_2=\frac{a_3}{a_2}=\frac{7}{4}$

$r_1\neq r_2$

Therefore, given sequence is an arithmetic sequence because the difference between consecutive terms is constant.

Substitute n=30 , d=3 a=1 in the given formula of arithmetic sequence

Then, we get

$a_{30}=1+(30-1)(3)=1+29(3)=1+87=88$

Hence, the 30th term of sequence is 88.

5 0

2 years ago

Either enter an exact answer in terms of foe use 3.14 for a

Elena L [17]

Answer:

200π; 628

Step-by-step explanation:

The volume of a cone can be found with the formula:

V=πr^2(h/3)

Now, we can plug the values that we know in.

Height is 6

Radius is 10

That said, our equation is now:

V=π10^2(6/3)

Simplify.

V=π100(2)

V=200π

Or, using 3.14 for pi it would be:

200(3.14)

628

4 0

3 years ago

Find the missing side c in right triangle ΔABC, where a = 5 cm, b = 12 cm, and c is the hypotenuse of the right triangle.

mr_godi [17]

13cm because c is the hypotenuse .with formulae right angle triangle of 5^2+12^2=13

7 0

2 years ago

I need help ASAP PLEASE!!!

Nat2105 [25]

I’m just guessing but since 13/4=3.25 that means that the triangle dialated by 3.25 so you multiply 8 by 3.25 and X might be 26

6 0

3 years ago

Which is greater 1/3 or 1/6

Bingel [31]

The answer to your question is 1/3

8 0

2 years ago

Read 2 more answers