H(t)=-16t^2+24So I have to find how long (in seconds) it will take a tool to fall to the ground from a height of 24 feet. I am using the equation h(t)=-16t^2+24 to find it but I'm not sure how to solve it or where to even get started! Any help would be great thank you!

Answers

Answer 1

Answer: when h(t)=0, it hits the ground

solve
0=-16t^2+24
factor out -8
0=-8(2t^2-3)
we know that
0=2t^2-3 since factors have to multiply to 0
add 3 to both sides
3=2t^2
divide both sides by 2
1.5=t^2
sqrt both sides
1.2247=t

after about 1.2247 seconds it will hit the ground

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When solving: 1,175 ÷ 5, using partial quotients, how would you decide which power of 10, when multiplied by 5, should be subtracted first?plz help! That would be so great if you did! :)

Answers

It equals 235. Using the quotient 10x 5 would make it 9,765,625 so I would subtract it first

Simplify the expression.

Answers

$(3)/( a^(-9) b)$
According to the laws of indices;
$(1)/( a^(-m) ) = a^(m)$
Thus;
$( 3a^(9) )/(b)$
The answer is thus D

Answer:

-5.4c

Step by step explanation:

A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r?

Answers

Given:
radius of the cone = half the radius of the cylinder
height of the cone = radius of the cylinder

Volume of the cone = π r² h/3

let x be the radius of the cylinder

V = 3.14 * (x/2)² * x/3
V = 3.14 * (x/2 * x/2) * x/3
V = 3.14 * x²/4 * x/3
V = 3.14x³ / 12

The answer is π r³/12.

The radius of the cylinder is r.
The radius of the cone is half of the radius of the cylinder: r/2.
The height of the cone is equal to the radius of the cylinder: r.

If the volume of the cone is π r²h/3, and the radius of the cone is r/2, and the height of the cone is r, then:
V = π × r² × h / 3
V = π × (r/2)² × r / 3
V = π × r²/4 × r / 3
V = π r³/12

Simplify a - {5b - [a - (3b - 2c) + c - (a - 2b - c)]}.-a - 6b + 4c

a - 6b + 4c

a - 10b + 4c

-a + 10b + 4c

Answers

a - {5b - [a - (3b - 2c) + c - (a - 2b - c)]}
= a - 5b - a - 3b + 2c + c - a + 2b + c
= -a - 6b + 4c

answer is -a - 6b + 4c (first choice)

your answer should be -6b+4c

Best of Luck!!!

:):):)

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A batch of cookies calls for 3434 cup of flour. You want to make 1212 of a batch.How much flour do you need?

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1 1/2cups

1/2 cup

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A batch of cookies calls for 3/4 cup of flour. You want to make 1/2 of a batch. How much flour do you need?

3/4 x 1/2 = 3/8 cup of flour is needed.

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