There are 10 books on a shelf of which 4 are paperbacks

While hovering near the top of Ribbon Falls in Yosemite National Park at 1600 feet, a

ella [17]

Answer:

a)The sunglasses hit the ground at t=0 seconds

b)The maximum height h(t) = 1600feet

Step-by-step explanation:

Step(i):-

Given that the polynomial function

h(t) = -16 t² + 1600 ...(i)

Differentiating equation (i) with respective to 't' , we get

$\frac{dh}{dt} = -16(2t)+0$

Equating zero

$\frac{dh}{dt} = 0$

⇒ -32t =0

⇒ t =0

The sunglasses hit the ground at t=0 seconds

Step(ii):-

Again differentiating with respective to 't', we get

$\frac{d^{2} h}{dt^{2} } = -32(1) = -32$

The maximum height at t=0

h(t) = -16 t² + 1600

h(t) = 1600feet

4 0

2 years ago

The base of the triangle decreases by 30% and the height increases by 20%.

sergeinik [125]

Answer:

Area decreases by 16%

Step-by-step explanation:

Use formula for the area of the triangle

$A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}$

Initial triangle:

The base is 18 cm

The height is 5 cm

The area is

$A_{initial}=\dfrac{1}{2}\cdot 18\cdot 5=45\ cm^2$

New triangle:

The base is $(1-0.3)\cdot 18=0.7\cdot 18=12.6\ cm$

The height is $(1+0.2)\cdot 5=1.2\cdot 5=6\ cm$

The area is

$A_{new}=\dfrac{1}{2}\cdot 12.6\cdot 6=37.8\ cm^2$

Area decreases by

$100\%-\dfrac{37.8}{45}\cdot 100\%=100\%-84\%=16\%$

5 0

3 years ago

find the total number of possible outcomes for four different cell phone models each of which has 3 different plans

Oksanka [162]

Hello!

I believe there are a total of 12 possible outcomes for this problem. Using simple math, you can just multiply 4 by 3 to get 12 possible outcomes but you can also get 12 outcomes by looking at the fact that since there are 3 plans in each of the 4 models, there are 12 ways that this could play out.

I hope this helps!

6 0

2 years ago

Leonard's mother gave him 5 bags with 6 flower bulbs in each bag to plant he has planted all except 3 bulbs how many flower bulb

Umnica [9.8K]

5 bags with 6 flower bulbs in each equals 30.
He planted all but 3
30-3=27
Leonard planted 27 bulbs

6 0

3 years ago

Read 2 more answers

Equation for ( 6, 13) ( 7900, 5 )

tia_tia [17]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

$y=mx+b$