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
EleoNora [17]
3 years ago
10

The 3rd and 6th term of a geometric progression are 9/2 and 243/16 respectively find the first term, common ratio, seventh term​

Mathematics
1 answer:
sashaice [31]3 years ago
5 0

Answer:

Hello,

Step-by-step explanation:

Let\ (u_n)\ the\ geometric\ progression.\\\\r\ is\ the\ common\ ratio.\\\\u_3=u_0*r^3\\u_6=u_0*r^6\\\\\dfrac{u_6}{u_3} =r^3=\dfrac{\frac{243}{16} }{\frac{9}{2} } =\dfrac{27}{8} =(\frac{3}{2} )^3\\\\\boxed{r=\dfrac{3}{2} }\\\\\\u_3=u_1*r^2 \Longrightarrow\ u_1=\dfrac{u_3}{r^2} =\dfrac{\frac{9}{2} }{(\frac{3}{2^2}) } =2\\\\\\u_7=u_6*\dfrac{3}{2} =\dfrac{729}{32}

You might be interested in
HELP! What is the solution to the following system of equations?
tatuchka [14]

Answer:

it is 2,4

Step-by-step explanation:

The point that they meet is 2,4 . It means X+ is 2 and Y+ is 4 .

You can write a as their meet point . you should answer like this a(2,4) .

4 0
3 years ago
The time required for workers to produce each unit of a product decreases as the workers become more familiar with the productio
Marat540 [252]

Answer: 2.79 hours.

Step-by-step explanation:

Given that the function for the learning process is T(x) = 2 + 0.3 1 x , where T(x) is the time, in hours, required to produce the xth unit

To calculate the time for the new worker to produce 10 units, substitute 10 for x in the equation above.

T(x) = 2 + 0.31 (10)

T(x) = 2 + 3.1

T(x) = 5.1 hours

To calculate the time for the new worker to produce 19 units, substitute 19 for x in the equation above.

T(x) = 2 + 0.31(19)

T(x) = 2 + 5.89

T(x) = 7.89 hours

The time required for a new worker to produce units 10 through 19 will be

7.89 - 5.1 = 2.79 hours

7 0
3 years ago
-5a to the second power-7a
kakasveta [241]
-5a^2 - 7a = -a x (5a + 7)
let me know if you have any other questions 
:)
7 0
3 years ago
HELP almost due in 5
skad [1K]

Answer:

A, D,F are triangle sides

4 0
3 years ago
Which is closest to the value of w in the triangle below?
mr Goodwill [35]

Answer: B. 2.5 in

Step-by-step explanation:

From the given right angle triangle,

the hypotenuse of the right angle triangle is the unknown side.

With m∠32 as the reference angle,

the adjacent side of the right angle triangle is 4 in

the opposite side of the right angle triangle is w

To determine w, we would apply

the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side. Therefore,

Tan 32 = w/4

w = 4tan32 = 4 × 0.625

w = 2.5 in

8 0
3 years ago
Other questions:
  • Suppose that 28.3% of all students took an accounting course 31.3 of all students took a statistics course and 49.1 of all stude
    6·1 answer
  • Let #N mean the number of days in year N. What is the value of #1988 + #1989 + #1990 + #1991?
    11·1 answer
  • If ice cream were sold in 1 cup containers how many does she need to buy for her party
    6·1 answer
  • If cos θ =-2/5 and tan θ > 0, what is the value of sin θ?
    6·1 answer
  • PLeAsE hElP<br> ASAPPP<br> :/<br> *Will give 25 points and Brainliest...*
    10·1 answer
  • Which one is correct?
    14·2 answers
  • What is the value of x in 34 + 2x = 40
    10·2 answers
  • What would the answer be for this equation? 3a^3b^2x2a^2b^5
    7·2 answers
  • Kelvin ran in a race over the weekend and ran 4 kilometres in 20 minutes. Choose all of the th emu it rates that represent the p
    8·1 answer
  • Which of the following tables shows the correct steps to transform x2 + 10x + 24 = 0 into the form (x − p)2 = q?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!