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
Elan Coil [88]
2 years ago
9

Find the nth term of the geometric sequence whose initial term is a1

Mathematics
1 answer:
Alborosie2 years ago
6 0

Answer:

Step-by-step explanation:

geometric progresion formula:

a_n=a_1*r^{n-1}\\a_1=0.5\\r=10\\a_n=0.5*10^{n-1}

You might be interested in
An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made
Lemur [1.5K]

Answer:

The dimension of box=2ft\times 2ft\times 1ft

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box=lbh=x^2h

4=x^2h

h=\frac{4}{x^2}

Now, surface area of box,A=x^2+4xh

A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}

\frac{dA}{dx}=2x-\frac{16}{x^2}

\frac{dA}{dx}=0

2x-\frac{16}{x^2}=0

2x=\frac{16}{x^2}

x^3=8

x=2

\frac{d^2A}{dx^2}=2+\frac{32}{x^3}

Substitute x=2

\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h=\frac{4}{2^2}=1 ft

Hence, the dimension of box=2ft\times 2ft\times 1ft

5 0
2 years ago
Which is an equation in point-slope form for the given point and slope point (8 -4) slope 5/6
Alina [70]

If you want to say thank you, click the "Thanks" button and select the answer "The Brainliest!" We appreciate it!

Step-by-step explanation:

Point slope form: (y−y1) = m (x−x1), where (x1,y1) is the point, and m is the slope.

(y- (-4)) = (5/6)*(x - 8)

(y + 4) = (5/6)*(x - 8)

If you want in standard form

(y + 4) = (5/6)*x - (5/6)*8

y = (5/6) x - (5/6)*8 - 4

y = (5/6)x - (16/6)


Answer:

(y + 4) = (5/6)*(x - 8)



4 0
2 years ago
A scientist has 100 milligrams of a radioactive element. The amount of radioactive element remaining after t days can be determi
grandymaker [24]
The mass of the first shipment at time t is
m_{1}=100( \frac{1}{2} )^{ \frac{t}{10}}

The mass of the second shipment at time t is
m_{2}=100( \frac{1}{2} )^{ \frac{t-3}{10} }

At time t, the ratio of m₁ to m₂ is
\frac{m_{1}}{m_{2}} = \frac{100}{100}. \frac{(1/2)^{t/10}}{(1/2)^{(t-3)/10}} \\ =  \frac{(1/2)^{t/10}}{(1/2)^{t/10}}. \frac{1}{(1/2)^{-3/10}} \\ = (1/2)^{3/10} \\ = 0.8123

Therefore as a percentage,
\frac{m_{1}}{m_{2}} =100*0.8123 = 81.23 \%

Answer: B. 81.2%

4 0
3 years ago
Represent the following expression algebredically: a number, x, decreased by 5
PIT_PIT [208]
X-5 is your answer. hope that helps
5 0
3 years ago
Find the sum of the linear expressions<br> (8x - 16) + (-12x - 2)
Allushta [10]

Answer:

-4x-18

Step-by-step explanation:

pickle

4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the missing angles for 1 and 2 please
    12·1 answer
  • Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 2
    11·2 answers
  • PLEASE HELP QUICK!!!! What is the solution to the equation Two-thirds x + 1 = one-sixth x minus 7? x = negative 16 x = negative
    10·2 answers
  • Find the indicated quotient to the nearest tenth
    5·2 answers
  • 28.65 ÷ 5 - 4.85 Can someone help me?
    9·2 answers
  • A ball is drawn at random from a box containing 6 red balls, 4 white balls and 5 blue
    12·1 answer
  • Can someone please help me answer question #5<br><br><br> i will mark brainliest
    12·1 answer
  • How many steel rods are in a staircase frame with 12 steps?
    14·1 answer
  • Solve the given system using elimination.
    10·1 answer
  • Question 4 of 5
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!