How many times do 12 go into 30

How many times do 12 go into 30

2 months ago

Solution 1

Guest Guest #3291
2 months ago
2 times with 6 left over because you would see how many times without going over and that would be 2 because 2x12 equals 24 amd 3x12 equals 36 bit that is ocer thirty then 30-24 equals 6. 6 is your remainder. Your full answer is 2 r4

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determine the amount of an investment if $400 is invested at an annual interest rate of 7.25% for 7 years. round to the nearest penny.
Solution 1
Equation for one year:
0.0725(400)
But we have 7 years:
7(0.0725(400))
Multiply in the parentheses
7(29) = 203
400 + 203 = 603
You now have $603, and made $203
Question
The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 130 feet per second. Which equation correctly models the ball's height as a function of time?
Solution 1

The maximum height at the moment is 266.0625 ft.

Projectile's height

The equation for a projectile's height versus time is

&h(t)=-16 t^{2}+V  t+h  \\

h = 2

V = 130

Substitute these values into the function

$h(t)=-16 t^{2}+130 t+2$

Take the first derivative

$h^{\prime}(t)=-16* 2 t+130

=-32 t+130$

Equate the derivative with zero $h^{\prime}(t)=0$.

Solve the equation -32 t + 130=0

32 t = -130

t = -130 /(-32)

= 4.0625(s) .

Find the maximum height at the moment

t = 4.0625 (s)

h(4.0625) = -16(4.0625)^{2}+130 * 4.0625+2

= - 264.0625+528.125+2

= 266.0625 ft.

Therefore, the maximum height at the moment is 266.0625 ft.

To learn more about projectile's height

brainly.com/question/27750474

#SPJ2

Solution 2
For this case we must use the projectile equation for this problem.
 We have then:
 h (t) = - 16t ^ 2 + Vt + h
 Where,
 V: initial speed
 h: height
 For the tennis ball we have:
 h (t) = - 16t ^ 2 + 130t + 2
 Answer:
 
An equation that correctly models the ball's height as a function of time is:
 
h (t) = - 16t ^ 2 + 130t + 2
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Solution 1
C. $147.50
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Solution 1

Answer:

390 would be the answer

Step-by-step explanation:

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Solution 2
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Question
The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the stack of pennies on the left is 390 mm3, what is the volume of the stack of pennies on the right in cubic millimeters?
Solution 1

Answer:  The required volume is 390 mm³.

Step-by-step explanation: Given that the stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. The volume of the stack of pennies on the left is 390 mm³.

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The number of pennies on the left and right are same, equal to 15.

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Therefore, the volume of the stack of pennies on the right is 390 mm³.

Thus, the required volume is 390 mm³.

Solution 2

Answer:

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Solution 1

Answer:

V=400{\pi} in^3

Step-by-step explanation:

Cavalieri’s Principle: If in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal.

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