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2 years ago

What is the volume of a cylinder with a height of 4xy^4 and a radius of 2x? (The formula fo

Mathematics

1 answer:

OLga [1]2 years ago

3 0

Answer:

volume: $\sf 16\pi x^3y^4$

given:

height: $\sf 4xy^4$

radius: $\sf 2x$

<u>cylinder volume</u>:

$\hookrightarrow \sf \pi r^2h$

$\hookrightarrow \sf \pi (2x)^2(4xy^4)$

$\hookrightarrow \sf \pi (4x^2)(4xy^4)$

$\hookrightarrow \sf 16\pi x^3y^4$

You might be interested in

Tell whether the sequence is arithmetic. If it is, identify the common difference. 4, 8, 16, 32, …

zaharov [31]

Answer:

it's geometric

8/4=2 16/8=2

d=2

5 0

2 years ago

At a zoo, 3 pandas eat a total of 181 1 2pounds of bamboo shoots each day. The male panda eats 3 times as much as the baby. The

S_A_V [24]

Answer:

6037.2 pounds of bamboo shoots does the female panda eat.

Step-by-step explanation:

Total pandas = 3

Total bamboo shoots eaten = 18112 pounds

Let baby panda eats bamboo = x

Male panda eats bamboo= 3x

Female panda eats bamboo = 2x

So, the equation will become

$x+3x+2x=18112$

Now solving the equation to find value of x

$x+3x+2x=18112\\6x=18112\\x=\frac{18112}{6}\\x=3018.6$

The value of x we get : x=3018.6

So, baby panda eats bamboo shoots = 3018.6 pounds

Male panda eats bamboo shoots = 3x = 3(3018.6) = 9055.8 pounds

Female panda eats bamboo shoots = 2x = 2(3018.6)= 6037.2 pounds

So, 6037.2 pounds of bamboo shoots does the female panda eat.

6 0

3 years ago

Please help with a, b, and c!!

padilas [110]

(a).
The product of two binomials is sometimes called FOIL.
It stands for ...

   the product of the First terms (3j x 3j)
plus
   the product of the Outside terms (3j x 5)
plus
   the product of the Inside terms (-5 x 3j)
plus
   the product of the Last terms (-5 x 5)

FOIL works for multiplying ANY two binomials (quantities with 2 terms).

Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .

Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.

Whenever you have

      (the sum of two things) x (the difference of the same things)

the product is going to be

   (the first thing)² minus (the second thing)² .

So in (a), that'll be (3j)² - (5)² = 9j² - 25 .

You could find the product with FOIL, or with this easier tool.
______________________________

(b).
This is the square of a binomial ... multiplying it by itself. So it's
another product of 2 binomials, that both happen to be the same:

(4h + 5) x (4h + 5) .

You can do the product with FOIL, or use another little tool:

The square of a binomial (4h + 5)² is ...

   the square of the first term    (4h)²
plus
   the square of the last term       (5)²
plus
   double the product of the terms 2 · (4h · 5)
________________________________

(c).
Use the tool I gave you in part-a . . . twice .

The product of the first 2 binomials is    (g² - 4) .

The product of the last 2 binomials is also (g² - 4) .

Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .

5 0

3 years ago

Read 2 more answers

Please help me factor this!! Thanks!

Goryan [66]

We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4

6 + 4 = 10
6*4 = 24

So we can break up the 10ab into 6ab+4ab and then use factor by grouping

a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)

Therefore, the original expression factors completely to (a+4b)(a+6b)

5 0

3 years ago

3p + 7q = 55<br> 7p + 7q = 91<br> What is p and q

kkurt [141]

Step-by-step explanation:

3p + 7q = 55

7p + 7q = 91

(-)

-4p=-36

p=9

q=4

7 0

3 years ago

Read 2 more answers