El perímetro de un triángulo es...

The height of a toy rocket that is shot in the air with an upward velocity of 48 feet per second can be modeled by the function

NikAS [45]

Answer:

maximum height reached = 35 feet

and $f(t) = 48t-16.07t^{2}$

Step-by-step explanation:

writing linear motion equations

$s = ut + \frac{1}{2}at^{2}$

where s is the total displacement, u the initial velocity, t the time travelled, and a is the acceleration.

given u = 48 ft/s, and a = acceleration due to gravity g = -9.8 $\frac{m}{s^{2}}$

1 m = 3.28 feet therefore g becomes -9.8×3.28 $\frac{ft}{s^{2}}$

here negative sigh comes as acceleration due to gravity is in opposite direction of initial velocity.

therefore f(t) becomes $f(t) = 48t-16.07t^{2}$

to find max height we should find differentiation of f(t) and equate it to 0

therefore we get 48 = 32.144t

t = 1.49 s

therefore max height f(1.49) = 71.67-36.67 = 35 feet

4 0

3 years ago

Read 2 more answers

100000000000000000000+10000000000000000

9966 [12]

Answer:

1.0001e+20

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the number nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8?.

Luba_88 [7]

The nearest number is 10080 if the number is nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8.

It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

It is given that:

The number nearest to 10000 is exactly divisible by 3, 4, 5, 6, 7, and 8.

TO find the number:

Find the LCM of 3, 4, 5, 6, 7, and 8:

LCM = 760

= 10000/760

There are two possibilities:

= 10000 - 760 = 9240

or 10000 + (840 - 760) = 10080

The nearest number = 10080

Thus, the nearest number is 10080 if the number is nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8.

Learn more about the LCM here:

brainly.com/question/20739723

#SPJ4

3 0

2 years ago

Try It #2

storchak [24]

Answer:

The population in year 2014 is 41100.

Step-by-step explanation:

In the question, it is given that the city's population is growing linearly. In 2008 , population was 28200 and in 2012 , it is 36800 .

It is required to predict the population in 2014 .

To do so, use the population given in two years as two points on a line and find the equation of population and year. Then, find the population in year 2014 .

Step 1 of 2

The population in 2008 was 28200 and in 2012 it was, 36800 .

The equation relating population and year is,

$\begin{aligned}&y-28200=\left(\frac{36800-28200}{2012-2008}\right)(x-2008) \\&y-28200=\left(\frac{8600}{4}\right)(x-2008) \\&y-28200=2150(x-2008)\end{aligned}$

Step 2 of 2

The population in year 2014 can be determined by substituting 2014 for x,

$\begin{aligned}&y-28200=2150(2014-2008) \\&y-28200=2150(6) \\&y-28200=12900 \\&y=41100\end{aligned}$

6 0

2 years ago

A water mill grinds corn to make cornmeal. The water wheel has a radius of 18 feet. The wheel is rotating at 8 revolutions per m

Genrish500 [490]

Answer:

904.9 feet per minute

Step-by-step explanation:

The Angular distance can be calculated using below expression

S= r θ ..............eqn(1)

Where

θ = angular distance travelled

r= Radius= radius of 18 feet

But angular distance can also be expressed as

θ = wt...................eqn(2)

w= angular speed= 8 rev per minute= (8 × 2π)

t= time

Velocity can also be expressed as

V= s/t............eqn(3)

Where

V= velocity

s= distance

t= time

Substitute eqn(2) into eqn(3)

V=( r θ)/ t................eqn(4)

Substitute eqn(2) into eqn(4)

V=( r w t)/ t

V= r w ..............eqn(5)

V= 18×(8 ×2π)

=288π

= 904.9 feet per minute

Hence, the linear speed, in feet per minute, of the water. is 904.9 feet per minute

6 0

3 years ago