CAN SOMEONE PLEASE CHECK :)

Please help with this will give brainliest to the first answer!

kozerog [31]

Answer:

your answer is 415 in^3

Step-by-step explanation:

ok the equation in finding the volume of a come is

V= $\pi r^2 \frac{h}{3}$

step 1: plugin

$\pi =3.14$

3.14 x 6^2 x 11/3

3.14x 36 x 11/3 = (6/3 turns into a 2)

113.04x 11/3= 114. 48, when rounded, it's going to give you 415 in^3

5 0

2 years ago

A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our <em>a</em> is -4.9 and <em>b </em>is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

4 0

3 years ago

Read 2 more answers

A dog owner wants to use 200 ft of fencing to enclose the greatest possible area for his dog. he wants the fenced area to be rec

Fiesta28 [93]

Perimeter (P) = 2 · Length(L) + 2 · Width (W) → P = 2L + 2W
Solve for either L or W (I am solving for L).
200 - 2W = 2L
(200 - 2W)/2 = L
100 - W = L

Area (A) = Length (L) · Width (W)
= (100 - W) · W
      = 100W - W²

Find the derivative, set it equal to 0, and solve:
dA/dW = 100 - 2W
   0 = 100 - 2W
   W = 50

refer to the equation above for L:
100 - W = L
100 - 50 = L
      50 = L

Dimensions for the maximum Area are 50 ft x 50 ft

5 0

3 years ago

Write and simplify an expression to model the following phrase: "15% off the original price of a purchase"

Simora [160]

There are a couple of equations u can use

x = original price

15% off the original price of the purchase :
x - 0.15x

OR

if u get 15% off, then u are paying for 85%
0.85x

7 0

4 years ago

Read 2 more answers

If $8,000 is invested at 5 % annual interest compounded

poizon [28]

8000 (1.025)^12

$10,759

3 0

3 years ago