PLEASE HELP I WOLL MARK BRAINLIEST

Answer:

The equation of the position at time t will be:

[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]

Step-by-step explanation:

We can start by saying that the acceleration here is g = -9.81 m/s². The minus sign is because the gravity acceleration is a vector downward (negative value), and the ball is going upward (positive value).

And we know that acceleration can be written as a second derivative:

[tex]g=\frac{d^{2}y}{dt^{2}}=y''[/tex] (1)

Now, we can take the integral in each side:

[tex]\int gdt=\int y''dt[/tex]

[tex]\int y''dt=\int -9.81dt[/tex] (2)

Solving the integral in each side we have:

[tex]y'(t)=-9.81t+C[/tex] (3)

Where y'(t) is the velocity at t time (v = dy/dt = y' ) and c is a constant value.

Now, the initial conditions are:

initial height y(0) = 15 feet

initial velocity y'(0) = v(0) = 64 feet/s

Using this condition we can find C. Let's evaluate equation (3) at t = 0.

[tex]y'(0)=-9.81(0)+C[/tex]

[tex]C=64\: feet/s[/tex]

So we have:

[tex]y'(t)=-9.81t+64[/tex] (4)

Now, we need to take the integral of equation (4) to get the position function:

[tex]\int y'(t)dt=\int (-9.81t+64)dt[/tex]

Solving this new integral we have:

[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+D[/tex] (5)

Using the same method above, we can find D evaluating (5) at t = 0, we have:

[tex]y(0)=-\frac{1}{2}9.81(0)^{2}+64(0)+D[/tex]

[tex]D=y(0)[/tex]

[tex]D=15\: feet[/tex]

Finally, the equation of the position at time t will be:

[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]

I hope it helps you!

Question :

Cone is formed from 3200 ft³ of gravel, if the height of the cone is 24 ft what is the radius in feet of the base of the cone

Answer:

11.3 feet

Step-by-step explanation:

The volume of a cone = πr²h/3

We are asked to find the radius

The formula is given as:

r = √3V/πh

V = 3200 ft³

h = 24 ft

r = √3 × 2400/π × 24

r = 11.28379 ft

Approximately = 11.3 ft

The radius in feet = 11.3 ft

Answer:

Expected population=  1,904,308 people

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 1,350,000

Number of periods (n)=  10 years

Growth rate (g)= 0.035 per year

To calculate Future Value (FV), we need to use the following formula:

FV= PV*(1 + i)^n

FV= 1,350,000*(1.035^10)

FV= 1,904,308 people

Answer:

A. 10.25h − 4

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

The one about the boys and girls are 3:1

The one about the balls no h0m0 is 1:4

The one about the chocolates is 1:3

The one about the Joshua and his dad is 3:4

If you be so kind mark me as brainliest

Answer:

A box contains 84 chocolates - 1 : 3

Jemma has 24 balls - 1 : 4

There are 12 boys - 3 : 1

Joshua is 11 years old - 3 : 4

Step-by-step explanation:

This is the correct answer for edmentum

Answer:

-42

Step-by-step explanation:

x/7 = y

y + 9 = 3

3 - 9 = y

y = -6

-6 * 7 = x

x = -42

Answer:

-42

Step-by-step explanation:

Do it backwards

Start with 3

SUBTRACT 9 to get -6

MULTIPLY by 7 to get -42.

Check:

Start: -42

Divide by 7: -6

Add 9: 3

Ding Ding!

Answer:

Monday, may 31, 2021

Step-by-step explanation:

:)))

Answer The answer is c.

Step-by-step explanation:

cause i said it was

here you go hope this helps!

heyy dude just wanted points. so yeah.

Answer:

Flowers: 5

Vegetables: 25

Step-by-step explanation:

Answer:

h=18.68

Step-by-step explanation:

V=( [tex]\pi[/tex] h r² )/ 3

h = 3V / r²·[tex]\pi[/tex] = 18.68

Answer:

V=3,14×6

=18,68

A.16,68 feet

Answer:

⅖

Step-by-step explanation:

please like my answer and brainliest me... hshshshshs

Answer:

D.)

2/3 1/6 1/7

Step-by-step explanation:

Given the fractions :

A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7

We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.

A.)

L. C. M of 14, 42 and 6 = 42

42 * 3 = 126 ( not true)

B.)

L. C. M of 84, 16, 42 = 336

Can't be true

C.)

L. C. M of 21, 4, 3 = 84

84 * 2 = 168 (not true)

D.)

L.C.M of 3, 6, 7 = 42

Answer:

d

Step-by-step explanation:

Answer: x ≤ −23/4 or x> -2

Step-by-step explanation:

Step-by-step explanation:

[tex]4 {x}^{2} - 2( {x}^{2} - 3x + 2) \\ = 4 {x}^{2} - 2 {x}^{2} + 6x - 4 \\ = 2 {x}^{2} + 6x - 4 = \\ {x}^{2} + 3x - 2[/tex]

Answer:

It is C i believe

Step-by-step explanation:

Answer:

the answer is 7x^2-12x square root of 14 +72 (option 2)

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

-6+3=-3

2 and -7 is 9

Answer:

the correct answer is B

Step-by-step explanation:

go it right!!!

Answer:

(20 miles/inch) * (3.5 inches) = 70 miles

Step-by-step explanation:

Answer:

72-90 mile

OlivOliviOlivia‘s grandmother Town is 72 to 90 miles away

Answer:

Student is incorrect

Step-by-step explanation:

x^2-7x+10=0

x^2+2x-5x+10=0

x(x-2)-5(x-2)=0

(x-5)(x-2)=0

x-5=0    ,     x-2=0

x=5     ,       x=2

So the correct solutions  of given equation is 2 and 5

The factors of the equation [tex]x^2- 7x + 10 = 0[/tex] is [tex]x=2,5[/tex] so the students are incorrect.

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is:-

[tex]x^2-7x+10=0\\\\x^2-2x-5x+10=0\\\\x(x-2)-5(x-2)=0\\\\(x-5)(x-2)=0\\\\x-5=0\\\\x=5\\\\x-2=0\\\\x=2[/tex]

Hence, the factors of the equation [tex]x^2- 7x + 10 = 0[/tex] is [tex]x=2,5[/tex] so the students are incorrect.

To know more about the equation

https://brainly.com/question/12788590

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Answer:73

Step-by-step explanation:

Answer:

I was not aware of the "daily limit" thing for answers

Step-by-step explanation:

Answer:

156oz

Step-by-step explanation:

Hope this help and have wonderful day!!!

Answer:

I think the answer is $40,000

Step-by-step explanation:

Answer:40,000

Step-by-step explanation: