1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hitman42 [59]
3 years ago
12

What is the explicit formula for the nth term of a(n)=12a(n-1, where the 1st term is .001?

Mathematics
1 answer:
masya89 [10]3 years ago
7 0
\left\{\begin{array}{ccc}a_1=0.001\\a_n=12a_{n-1}\end{array}\right\\\\\boxed{a_n=0.001\cdot12^{n-1}}
You might be interested in
What is 9.946327812 to 1dp?
stepladder [879]
-- 'Truncated' to one decimal place, it's 9.9 ,

-- 'Rounded' to one decimal place, it's 9.9 .

(These two operations don't always produce the same result.)
7 0
3 years ago
Let F(x)=x^2-4 and G(x)=5-x<br><br> Find (F/G)(x)=
sammy [17]

Answer:(F/G)(x)=7

Step-by-step explanation:

5 0
2 years ago
In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 basket
-BARSIC- [3]

Answer:

B. r + l = 45; 2r + 3l = 96

39 regular; 6 long-distance

Step-by-step explanation:

There were 45 baskets, so

(1) r + l = 45

There were 96 points in the game, so

(2) 2r + 3l = 96

Solve equation (1) for l

                    l = 45 – r     Substitute the value for l in Equation (2)

2r + 3(45 – r) = 96      Remove parentheses

 2r + 135 - 3r = 96      Combine like terms

         -r + 135 = 96      Subtract 135 from each side

                  -r = -39      Multiply each side by -1

                  r = 39      Substitute the value of r in Equation (1)

           39 + l = 45        Subtract 39 from each side

                   l = 6

===============

Check:

(1) 39 + 6 = 45

         45 = 45

(2) 2×39 + 3×6 = 96

           78 + 18 = 96

                   96 = 96


4 0
3 years ago
VGravel is being dumped from a conveyor belt at a rate of 50 ft3/min. It forms a pile in the shape of a right circular cone whos
kupik [55]

Answer:

0.325 ft/min

Step-by-step explanation:

To solve we must follow the following steps:

First, the volume of a cone is given by the equation:

Vc = (1/3) * Pi * (r ^ 2) * h

where r is the radius and h is the height.

they tell us that the height is equal to twice the radius, therefore

h = 2r; r = h / 2

replacing r in the volume of the cone:

Vc = (1/3) * Pi * ((h / 2) ^ 2) * h

solving we have:

Vc = (1/3) * Pi * (1/4) * (h ^ 2) * h

Vc = (1/12) * Pi * h ^ 3

They give us the change in volume with respect to time, that is, dV / dt = 50

It can also be expressed in the following way:

dV / dt = (dV / dh) * (dh / dt)

We know V, so we can derive with respect to h, we are like this:

dV / dh = 3 * (1/12) * Pi * h ^ 2

dV / dh = (1/4) * Pi * h ^ 2

we know that h is equal to 14, therefore:

dV / dh = (1/4) * Pi * 14 ^ 2

dV / dh = (1/4) * 3.14 * 196 = 153.86

Now if we replace

dV / dt = (dV / dh) * (dh / dt)

50 = 153.86 * (dh / dt)

(dh / dt) =  50/158.36

(dh / dt) =  0.3249

This means that the change in height with respect to time is 0.325 feet per minutes.

4 0
2 years ago
Read 2 more answers
in the following triangle, theta= 60. find the values of the angles B and B', which solve this ambiguous case
scZoUnD [109]
∠B + ∠B` = 180°
The Sine Law:
10 / sin B` = 9.2 / sin 60°
10 / sin B` = 9.2 / √3/2
sin B` = 0.94133
B` = sin^(-1) 0.94133
Answer:
C ) ∠B` = 109.73°, ∠B = 70.27°
8 0
3 years ago
Read 2 more answers
Other questions:
  • In order to finish the order on time the factory was supposed to produce 70 items daily. After hiring three more people they wer
    7·1 answer
  • 7(5 - 6x) - 4x =-8 + 35 show work
    10·1 answer
  • Need help with this question plz!!
    5·2 answers
  • What are the next two numbers in the sequence: 0.5, 1.0, 2.0, 4.0..... *
    13·1 answer
  • Please help, I need input on if I did this correctly and you just substitute.
    5·1 answer
  • What percent of 78 = 39?
    9·1 answer
  • Butterfly: wingspan 20 cm silk butterfly: wingspan 4 cm​
    12·1 answer
  • URGENT!<br> How do you solve a word problem using the direct variation formula?
    8·2 answers
  • PLEASE HELP MEEEEE<br> look at the picture
    9·2 answers
  • And please help solve 16
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!