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In-s [12.5K]
4 years ago
13

What expression is equivalent to (4y^2-3) (4y+3)

Mathematics
1 answer:
Naya [18.7K]4 years ago
4 0

Answer:

Step-by-step explanation:

Just use the distributive property.

(4y^2-3)(4y+3)

= 4y^2(4y+3) - 3(4y+3)

= 16y^3 + 12y^2 - 12y - 9

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Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. how high
bezimeni [28]

Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.

So if D is the diameter and h is the height of the conical pile then we can write:


D=3h

We know that diameter = 2r, where r is the radius

2r=3h

r=\frac{3h}{2}

Volume of conical pile is given by formula

V=\frac{1}{3}\pi r^2h

Given that volume is 1110 cubic feet.

Now plug the values of Volume and r into equation of volume

1110=\frac{1}{3}\pi (\frac{3h}{2})^2h

1110=\frac{1}{3}\pi\cdot\frac{9h^2}{4}\cdot h

1110=\pi\cdot\frac{3h^3}{4}

1110\cdot\frac{4}{3\pi}=h^3

471.098631552=h^3

take cube root of both sides

7.78103342467=h

Hence height is approx 7.78 feet.

7 0
4 years ago
The average (arithmetic mean) of five different positive integers is 30. What is the greatest possible value of one of these int
geniusboy [140]

Answer:

The Greatest possible value of one of the integer is 140.

Step-by-step explanation:

Given:  The average (arithmetic mean) of five different positive integers is 30.

To find:  What is the greatest possible value of one of these integers?

Explanation: we are given that the arithmetic mean of five  positive integer

                   is 30.

Let the five positive integers are A,B,C,D,E

The arithmetic mean :

                   \frac{A+B+C+D+E}{5} =30.

On multiplying both side by 5.

                       A+B+C+D+E =150.

The least values of A ,B,C and D can be 1 ,2,3,4.

  Then :  1 +2+3+4+E =150

On simplification  10+E =150

On subtraction both side by 10 we get

                      E = 140 .

Therefore, the Greatest possible value of one of the integer is 140.


6 0
3 years ago
Identify which of the twelve basic functions listed below fit the description given. The three functions that are bounded above.
Irina18 [472]

Answer:The Sine function:  

f

(

x

)

=

sin

(

x

)

The Cosine function:  

f

(

x

)

=

cos

(

x

)

and

The Logistic function:  

f

(

x

)

=

1

1

−

e

−

x

are the only function of the "Basic Twelve Functions" which are bounded above.

Step-by-step explanation:

8 0
4 years ago
Exact coordinates of either on this circle whose x-coordinates is 5.​
olga2289 [7]

Answer:

hope it helps plz mark me brainliest..

Step-by-step explanation:

5 0
3 years ago
Help ASAP ?!?? I’m struggling.
Serhud [2]

Answer:

B.

Step-by-step explanation:

C=3.14D

Circumference is equal to pi multiplied by the diameter, so 50 times 3.14 is equal to 157. 157 is closest to 160.

7 0
3 years ago
Read 2 more answers
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