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
Rufina [12.5K]
3 years ago
11

He first term of a sequence is 2, and each subsequent term is the reciprocal of the square of the preceding term. what is the po

sitive square root of the fifth term?
Mathematics
1 answer:
polet [3.4K]3 years ago
4 0
The first term is a₁ = 2.
Each subsequent term is the reciprocal of the square of the preceding term.

2nd term:
a₂ = 1/2² = 1/4

3rd term:
a₃ = 1/(1/4)² = 1/(1/16) = 16

4th term:
a₄ = 1/16² = 1/256

5th term:
a₅ = 1/(1/256)² = 1/(1/65536) = 65536
The positive square root of the fifth term is
√(65536) = 256

Answer: 256
You might be interested in
Help with this please question 3
MrRissso [65]
3a. Jackson's gross pay for 40 hours is
  (40 h)×($12.20/h) = $488.00

3b. An equation for Jackson's pay could be
  372.10 = h×12.20
This can be solved for h by dividing by 12.20
  372.10/12.20 = h = 30.5
Jackson worked 30.5 hours last week.

3c. The total of hours shown is
  (8) + (7 1/4) + (8 1/2) = (8 +7 +8) +(0.25 +0.50) = 23.75
The number of hours missing is the difference between this number and the hours found in part (b).
  30.50 - 23.75 = 6.75
There are 6 3/4 hours missing from Jackson's time sheet for last week. This is less than a full day's work, so seems reasonable.


_____
Of course, you know the decimal - fraction conversions:
  1/4 = 0.25
  1/2 = 0.50
  3/4 = 0.75
3 0
3 years ago
AP statistics HELP PLEASE!!!!
Novay_Z [31]

The data consists of 25 observations - this is just how many people were involved in the study. (count the rows, excluding the header)

As for number of variables, that depends on the aim of the study. More likely than not, I suspect the name of each person involved is irrelevant, which leaves 7 variables. (count the columns, excluding the first)

3 0
2 years ago
If 40 percent of a number is 32, what is 25 percent of that number
Georgia [21]

Answer:

20%

Step-by-step explanation:

THE ANSWER TO THE PROBLEM JS 20%

4 0
3 years ago
Satelite Corporation projects a year-end net income of $64,722. The net income represents 40% of its projected annual sales. Wha
Goryan [66]

Answer:

The projected annual sales of Satelite Corporation are $ 161,805.

Step-by-step explanation:

Given that Satellite Corporation projects a year-end net income of $ 64,722, and that the net income represents 40% of its projected annual sales, to determine the amount of the projected annual sales of the company the following calculation must be performed:

40 = 64.722

100 = X

(100 x 64,722) / 40 = X

6,472,200 / 40 = X

161.805 = X

Therefore, the projected annual sales of Satelite Corporation are $ 161,805.

4 0
2 years ago
Which expression is equivalent to the given expression?<br> (3m-4) (375)
Brilliant_brown [7]

9514 1404 393

Answer:

  D.  81/m^7

Step-by-step explanation:

The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

__

Using these, your expression simplifies to ...

  (3m^{-4})^3(3m^5)=(3^3)(3)(m^{-4\cdot3+5})=81m^{-7}=\boxed{\dfrac{81}{m^7}}

3 0
3 years ago
Other questions:
  • 2.3+0.5(3+x)= ____x + _____ need step by step answer's to both of these questions also explain what is in the blanks. 2y+3x +5y+
    10·2 answers
  • What is the answer-<br> 3(2x-y)+2y+2(x+y)
    12·1 answer
  • I dont know this one either
    12·1 answer
  • Can someone help? I really need it
    8·1 answer
  • A researcher found a study relating the distance a driver can see, y, to the age of the driver, x. When researchers looked at th
    14·1 answer
  • A particle traveled the distance of 6.6×<img src="https://tex.z-dn.net/?f=10%5E%7B-19%7D" id="TexFormula1" title="10^{-19}" alt=
    15·2 answers
  • 38) It is recommended that there be at least 13.8 square feet of ground space in a
    5·1 answer
  • What will $82,000 grow to be in 11 years if it is invested today at 8% and the interest rate is compounded monthly? Answer: ​
    15·1 answer
  • Help pls? Thank you :)
    9·2 answers
  • Which line is perpendicular to y=2x+3 and passes through the point (0, 5)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!