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butalik [34]
3 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]3 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

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Please help i have 2 questions thank you very much.
Rudik [331]
Hello!

Question 1
We first have to convert everything to yards since the concrete is charged by the cubic yards

15 feet = 5 yards
15 feet = 5 yards
3 inches = 0.08333

Multiply these to find the volume

5 * 5 * 0.08333 = 2.08325

Multiply this by the cost

2.08325 * 46 = 95.83

The answer is C) $95.83
------------------------------------------------------------------------------------------------------
Question 2

You have to find the volume of the first pyramid

The equation we use is V = \frac{lwh}{3}

V is volume
l is length
w is width
h is height

Put in the values we know

V =  \frac{16 * 16 * 28}{3}

Multiply

V =  \frac{7168}{3}

Divide

V = 2389.3333

Now we use this to find the side length of the second pyramid

2389.333 =  \frac{lw * 112}{3}

Multiply both sides by 3

<span>7167.999 = lw * 112
</span>
Divide both sides by 112

63.9999 = lw

Since it is a square pyramid we know that sides are equal

63.999 = l^2

Take the square root of both sides

8 = l

The answer is B) 8in

Hope this helps!
8 0
3 years ago
a rectangular fish tank 60 centimeters by 15 centimeters by 34 centimeters is 1/3 full of water. find the volume of water needed
son4ous [18]

Answer:

20,400\ cm^{3}

Step-by-step explanation:

step 1

Find the volume of the tank

V=(60)(15)(34)=30,600\ cm^{3}

step 2

we know that

If the tank is 1/3 full of water

then

the volume of water required to completely fill the tank is equal to 2/3 of the tank capacity

so

(2/3)30,600=20,400\ cm^{3}

5 0
3 years ago
Each week Tim wants to increase the number of sit ups he does by to set up’s the first week he does 15 sit ups each day. Write a
Alex17521 [72]

Answer: f(n+ 1) = f(n) + 2, where f(1) = 15.

4 0
4 years ago
8 cm
djyliett [7]

Answer:

Step-by-step explanation:

A = (3.14)(8)2

= 200.96

3 0
3 years ago
Help please I really really need help
dem82 [27]

Answer:

In 22 minutes the remaining cell phone battery will be unknown.  

In a of minutes the remaining cell phone battery will be 50%.

Step-by-step explanation:

7 0
3 years ago
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