Two equivalent fractions to 3/4

A pumpkin is launched directly upwards at 72 feet per second from a platform 12 feet high. The pumpkin's height, h, at time t se

Illusion [34]

Answer:

93 feet

Step-by-step explanation:

Let us first find the time it takes to reach the maximum height. We can do this by differentiating the height function to get velocity:

dh(t)/dt = v(t) = -32t + 72

The maximum height will occur when the velocity becomes 0. Therefore, the time it takes to reach maximum height is:

0 = -32t + 72

32t = 72

t = 72/32 = 2.25 seconds

Therefore, the maximum height of the pumpkin is:

h(2.25) = -16(2.25)^2 + 72(2.25) + 12

h(2.25) = -81 + 162 + 12

h = 93 feet

4 0

3 years ago

two numbers have the following properties.the sum of the larger and twice the smaller is equal to 13.twice their positive differ

rusak2 [61]

Answer:

We would need more information to figure out who or what ate the numbers. It gives no examples of things that would. I hope you understand this. Have a great day :)

6 0

4 years ago

A circular garden is bordered by a walkway. The radius of the garden is 6 feet, and the walkway is 2 1/2 feet wide. Rose wants t

k0ka [10]

From the selections given, select
E) None of the above

4 0

4 years ago

Which of the following is a transformation of the graph y = (x - 5)^2?

S_A_V [24]

Answer: B. Shifts right 5

Explanation:

When the number after the variable is in the parentheses, the transformation will be opposite of the sign. In this problem, the sign for 5 is negative so you would be going right 5 units because right is positive so that would be the opposite of the sign.

8 0

3 years ago

Read 2 more answers

Help me with my math pls :)

MrMuchimi

Answer:

4(x-8)=-32+4: x=1

2(x-2)=-3-2x: x1/4

3+5x=5(x+2)-7: x=0

8x+38=-3(-6-4x) x=5

Step-by-step explanation:

4(x-8)=-32+4

add subtract the numbers

-32+4=-28

4(x-8)=-28

Divide both sides by 4

$\frac{4(x-8)}{4}=\frac{-28}{4}$

Simplify

x-8=-7

Add 8 on both sides

x+8-8=-7+8

Simplify

x=1

2(x-2)=-3-2x

Expand 2(x-2)
apply distributive law: a(b-c)=ab-ac

a=2 b=x c=2

=2x-2·2

multiply the numbers

2·2=4

=2x-4

2x-4=-3x-2

Add 4 to both sides

2x-4+4=-3-2x+4

simplify

2x=-2x+1

Add 2x on both sides

2x+2x=2x+1+2x

Simplify

4x=1

Divide by 4 on both sides

4x÷4=1÷4

Simplify

x=1/4

3+5x=5(x+2)-7

We move all terms to the left:

3+5x-(5(x+2)-7)=0

We calculate terms in parentheses: -(5(x+2)-7), so:

5(x+2)-7

We multiply parentheses

5x+10-7

We add all the numbers together, and all the variables

5x+3

Back to the equation:

-(5x+3)

We get rid of parentheses

5x-5x-3+3=0

We add all the numbers together, and all the variables

=0

x=0/1

x=0

8x+38=-3(-6-4x)

Simplifying

8x + 38 = -3(-6 + -4x)

Reorder the terms:

38 + 8x = -3(-6 + -4x)

38 + 8x = (-6 * -3 + -4x * -3)

38 + 8x = (18 + 12x)

Solving

38 + 8x = 18 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.

38 + 8x + -12x = 18 + 12x + -12x

Combine like terms: 8x + -12x = -4x

38 + -4x = 18 + 12x + -12x

Combine like terms: 12x + -12x = 0

38 + -4x = 18 + 0

38 + -4x = 18

Add '-38' to each side of the equation.

38 + -38 + -4x = 18 + -38

Combine like terms: 38 + -38 = 0

0 + -4x = 18 + -38

-4x = 18 + -38

Combine like terms: 18 + -38 = -20

-4x = -20

Divide each side by '-4'.

x = 5

Simplifying

x = 5

Hope this helps

4 0

3 years ago