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3 years ago

Marcus has a box that is 4 1/2 feet long, 1/2 wide, and 2 feet high. What is the volume of the box

Mathematics

1 answer:

vladimir2022 [97]3 years ago

8 0

Answer:

8 Cubic feet

Step-by-step explanation:

Volume = l x h x w

= 4 * 2 * 1

= 8

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How many sets of 7 questions can be chosen from a file of 25 questions?

likoan [24]

If all 25 questions are different,

When order of selection counts:
P(25,7)
=25!/(25-7)!
=15511210043330985984000000/6402373705728000
=2422728000

When order of selection does not count count:
C(25,7)
=25!/(7!*(25-7)!)
=15511210043330985984000000/(6402373705728000*5040)
=480700

3 0

3 years ago

A ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is h-48t -16t^2.

Marat540 [252]

Answer:

36 feet.

Step-by-step explanation:

We have been given that a ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is $h(t)=-48t -16t^2$ . We are asked to find the maximum height of the ball.

We can see that our given equation is a downward opening parabola, so its maximum height will be the vertex of the parabola.

To find the maximum height of the ball, we need to find y-coordinate of vertex of parabola.

Let us find x-coordinate of parabola using formula $x=-\frac{b}{2a}$ .

$x=-\frac{-48}{2(-16)}$

$x=-\frac{48}{32}$

$x=-\frac{3}{2}$

So, the x-coordinate of the parabola is $-\frac{3}{2}$ . Now, we will substitute $x=-\frac{3}{2}$ in our given equation to find y-coordinate of parabola.

$h(t)=-48t -16t^2$

$h(-\frac{3}{2})=-48(-\frac{3}{2})-16(-\frac{3}{2})^2$

$h(-\frac{3}{2})=-24(-3)-16(\frac{9}{4})$

$h(-\frac{3}{2})=72-4*9$

$h(-\frac{3}{2})=72-36$

$h(-\frac{3}{2})=36$

Therefore, the maximum height of the ball is 36 feet.

3 0

3 years ago

The sum of 3 consecutive numbers is 21. write and solve an equation that represents this situation. show your work

I am Lyosha [343]

Answer:

kqssshhskshks

Step-by-step explanation:

hxashbxjmbjzmjxbjsb

7 0

3 years ago

The sum of two.number is.24. the.sun.of the square.of the two.nunber is 306. what is the product.of the two.number

tresset_1 [31]

A) x + y = 24
B) x^2 + y^2 = 306

A) x = 24 -y
Then substituting this into B)
(24 - y)^2 +y^2 = 306
576 -48y +y^2 + y^2 = 306
2 y^2 -48y + 270 = 0
x1 = 15
x2 = 9

3 0

3 years ago

Alex17521 [72]

Answer:

Step-by-step explanation:

I think I am not sure I just started to do this in school...

6 0

3 years ago