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
butalik [34]
2 years ago
10

What is the product? StartFraction 3 k Over k + 1 EndFraction times StartFraction k squared minus 1 Over 3 k cubed EndFraction S

tartFraction k + 1 Over k squared EndFraction StartFraction k minus 1 Over k squared EndFraction StartFraction negative 1 Over k EndFraction StartFraction 1 Over k EndFraction
Mathematics
1 answer:
Nana76 [90]2 years ago
4 0

Answer:

StartFraction negative 1 Over k cubed EndFraction

Step-by-step explanation:

3k / (k + 1) × (k²- 1) / 3k³

= 3k(k² - 1) / (k + 1)(3k³)

= 3k³ - 3k / 3k⁴ + 3k³

= -3k / 3k⁴

= -1/k³

StartFraction k + 1 Over k squared EndFraction

(k + 1) / k²

StartFraction k minus 1 Over k squared EndFraction

(k - 1)/k²

StartFraction negative 1 Over k cubed EndFraction

= -1/k³

StartFraction 1 Over k EndFraction

= 1/k

You might be interested in
Water weighs 62.4 pounds per cubic foot. How much does the water in a tank that measures 7 ft × 4 ft × 9 in, weigh?
andriy [413]

Answer:

  • <u>1,310 lb</u>

Explanation:

<u>1) Calculate the volume of the water in the tank.</u>

  • Area of the base of the tank: B = 7 ft × 4 ft = 28 ft²
  • Height of the tank: H = 9 in = 9 in × 1 ft / 12 in = 0.75 ft
  • Volume of the tank: V = area of the base × height = B × H = 28 ft² × 0.75 ft = 21 ft³.

<u>2) Calculate the weight of 21 ft³ of water.</u>

Since this is not a chemistry question but a math question, I will not use the fomula of density but set a proportion with one unknown:

  • 62.4 lb / 1 ft³ = x / 21 ft³

Solve for x:

  • x = 21 ft³ × 64 lb / ft³ = 1,310.4 lb.

So, rounding to the next integer, the water in the tank weighs 1,310 pounds, when it is full.

6 0
3 years ago
Read 2 more answers
Can someone help or explain the problem to me
SVEN [57.7K]

Answer:

I think I explained the circle one before so I'll explain the left question because I wanted some points.

here,

area of circle is πr² which is given= 12 π cm²

so πr²= 12π

r= 2√3

d= 2r= 4√3

AB is diameter so AB= 4√3

7 0
2 years ago
2. Kevin asked Olivia what parallel lines are. Olivia responded, "They are lines that never
Shkiper50 [21]
A I hope this really helps
6 0
2 years ago
Determine the correct scientific notation form of the number.
Dahasolnce [82]

0.000000084

we need to move the decimal 8 places to the right

8.4* 10^-8

3 0
2 years ago
Read 2 more answers
Each salt shaker holds 1 1/4 ounces. If a box of salt contains 10 ounces, how many shakers will it fit
Alekssandra [29.7K]
8 shakers will fit  becuase 4 shakers equal 5 ounces and you multiply it by two and you get 10

3 0
3 years ago
Read 2 more answers
Other questions:
  • How to write 90ef in expanded form?
    10·1 answer
  • The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 m
    8·1 answer
  • Find the area of an equilateral triangle (regular 3-gon) with the given measurement.3-inch radius A = sq. in.
    15·1 answer
  • Determine the 10th term from the end of the AP 4, 9, 14​
    8·1 answer
  • Help me with this please
    8·1 answer
  • Mr. King is considering a new job. He and his wife sit down to create a list of their monthly expenses, as shown in the table be
    6·1 answer
  • What is the range of the function y=4e^x?
    15·2 answers
  • 1/3a = −5 <br><br> What does a equal?
    11·1 answer
  • What is the value of t?
    14·1 answer
  • Can someone help me with this pleasee!?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!