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
Alexus [3.1K]
3 years ago
9

Find the value of a1 for an infinite geometric with series with s=9 and r=1/6

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
3 0
Heres how to solve it
An infinite geometric series is the sum of an infinite geometric sequence. This series would have no last term. The general form of the infinite geometric series is a1+a1r+a1r2+a1r3+...a1+a1r+a1r2+a1r3+... , where a1a1 is the first term and rr is the common ratio
You might be interested in
The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min
Maslowich

Answer:

67.3°C

Step-by-step explanation:

A = 25, T(0) = 100, T(1) = 90, find T(4)

dT/dt = -k(T - A)

d(T - A)/dt = -k(T - A)

d(T - A)/(T - A) = -k dt

ln(T - A) = lnC - kt

T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75

T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3

4 0
2 years ago
Is anyone good with triangle inequalities? I provided a picture for the problem.
alisha [4.7K]

Answer:

1 < x < 19

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We are given the measures y=10, z=9. The third side must satisfy:

10 - 9 < x < 10 + 9

1 < x < 19

3 0
2 years ago
-3(6) + 2(3) - 18 = 6<br><br>Is this incorrect or correct and why ?​
KiRa [710]
It is incorrect because when you times a negative by a positive. It is a negative number.
6 0
3 years ago
Samantha bought 10 identical shirts for $25. If she bought 25 of those same shirts, how much will she pay?
tatiyna

Answer:

72.50

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If the volume of a cube is 1728cm^3 find its length of its side​
Shalnov [3]

Answer:

it's a very easy one and it's answer is 1728

7 0
3 years ago
Read 2 more answers
Other questions:
  • 10 points! I know the answer, but I don't understand why. Can you please explain why the interest rate is 4 percent?
    8·2 answers
  • Please help
    8·1 answer
  • If 5/9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank ? A) 2.4 minutes B) 2.8 minute
    14·1 answer
  • Which is bigger 6 liters or 6,500 millimiters
    13·2 answers
  • A ramp is 10 feet in length. The ramp is lifted 4 feet off the ground to the truck door. What is the distance across the
    11·2 answers
  • What is the scale of a map if 50 km in real distance is 2 dm on a map?
    8·1 answer
  • How do you know if a Radical Expression is in simplest form?
    13·2 answers
  • What is the result of adding 7 to −7? A) −14 B) −7 C) 0 D) 14
    5·2 answers
  • I need help please with this equation:
    14·1 answer
  • What is the location of the image of P(−8, 1) after a counterclockwise rotation of 90° about (−2, 6) ?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!