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
almond37 [142]
3 years ago
6

Stella wrote 1/7 of a page in 1/15 of a minute. How many minutes does it take her to write a full page?

Mathematics
2 answers:
nadezda [96]3 years ago
7 0
28s to finished full page
Arisa [49]3 years ago
3 0
7/15 of a minute to write a full page.
You might be interested in
Integral of 17/(x^3-125)
daser333 [38]

Answer:

17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

Step-by-step explanation:

∫ 17 / (x³ − 125) dx

= 17 ∫ 1 / (x³ − 125) dx

= 17 ∫ 1 / ((x − 5) (x² + 5x + 25)) dx

Use partial fraction decomposition:

= 17 ∫ [ A / (x − 5) + (Bx + C) / (x² + 5x + 25) ] dx

Use common denominator to find the missing coefficients.

A (x² + 5x + 25) + (Bx + C) (x − 5) = 1

Ax² + 5Ax + 25A + Bx² − 5Bx + Cx − 5C = 1

(A + B) x² + (5A − 5B + C) x + 25A − 5C = 1

Match the coefficients and solve the system of equations.

A + B = 0

5A − 5B + C = 0

25A − 5C = 1

A = 1/75

B = -1/75

C = -2/15

So the integral is:

= 17 ∫ [ 1/75 / (x − 5) + (-1/75 x − 2/15) / (x² + 5x + 25) ] dx

Simplify:

= 17/75 ∫ [ 1 / (x − 5) − (x + 10) / (x² + 5x + 25) ] dx

Factor ½ from the numerator of the second fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 20) / (x² + 5x + 25) ] dx

Split the fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − ½ (15) / (x² + 5x + 25) ] dx

Multiply the last fraction by 4/4:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 30 / (4x² + 20x + 100) ] dx

Complete the square:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 15 / ((2x + 5)² + 75) ] dx

Split the integral:

= 17/75 ∫ 1 / (x − 5) dx − 17/150 ∫ (2x + 5) / (x² + 5x + 25) dx − 17/5 ∫ 1 / ((2x + 5)² + 75) dx

The first integral is:

∫ 1 / (x − 5) dx = ln│x − 5│

The second integral is:

∫ (2x + 5) / (x² + 5x + 25) dx = ln(x² + 5x + 25)

The third integral is:

∫ 1 / ((2x + 5)² + 75) dx = 1/√75 tan⁻¹((2x + 5) / √75)

Plug in:

= 17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

4 0
3 years ago
I NEED HELP ASAP!!!!!!!!!!! One day, the temperature started at 14 degrees at 6:00 a.m., then climbed 5 degrees by noon, and the
ANTONII [103]
B.12 degrees I did this before
5 0
3 years ago
Graph the solution of y - 4 < 2 on a number line.
Luda [366]

Answer:

y<6

Step-by-step explanation:

You will solve it like a one-step equation but just leave the less then symbol. so anything less then 6 is your answer

3 0
3 years ago
Simplify: 45÷3+2×8-12+30​
Phantasy [73]

Answer:

49

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
a city bus completes its entire route 3 times each hour how long will it take the bus to complete the entire route 10 times
SOVA2 [1]

Answer: It will take 3.33 hours to complete it's entire route 10 times.

Step-by-step explanation: Time taken to complete it's entire route 3 times= 1 hour

∴Time taken to complete it's entire route 10times = 10/3

                                                                                      = 3.33 hours

3 0
3 years ago
Other questions:
  • Use the distributive property to simply 27-9x+15y
    8·2 answers
  • What is the theoretical probability of rolling a 2
    11·2 answers
  • Sarah describes the following situation: When fertilizer was added to one plant and nothing was added to the other plant, there
    7·2 answers
  • HELP PLEASE HAVING BAD DAY
    11·2 answers
  • How much shipping and handling will Anita pay?
    14·1 answer
  • Where does f(x) = g(x)
    12·1 answer
  • When a baby panda is born, it is 6cm in length. Every week after this, its size increases by 5 cm. Write an equation in slope in
    10·1 answer
  • A fair rents a thrill ride for $3000. It cost $4 to purchase a token for the ride. Write and solve an inequality to determine th
    7·1 answer
  • I need help please plz plz plz
    5·2 answers
  • evelyns yoga class has 50 participants. its rules require that 60% of then must be present for a class. If not, the class will b
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!