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-Dominant- [34]

3 years ago

14

a ball is thrown vertically upward from the top of a 100 foot tower, with an initial velocity of 20ft/sec. Its position function

is s(t)=-16t^2+20t+100. What is its velocity in ft/sec when t=1 second

1 answer:

umka21 [38]3 years ago

6 0

we are given

position function as

$s(t)=-16t^2+20t+100$

Since, we have to find velocity

so, we will find derivative with respect to t

$s'(t)=-16*2t+20*1+0$

$s'(t)=-32t+20$

$v(t)=-32t+20$

now, we can plug t=1

$v(1)=-32*1+20$

$v(1)=-12ft/sec$ .................Answer

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The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. The area of printed material on the po

grin007 [14]

Answer:

Dimensions of printed poster are

length is 32 cm

width is 48 cm

Step-by-step explanation:

Let's assume

length of printed poster is x cm

width of printed poster is y cm

now, we can find area of printed poster

so, area of printed poster is

$=xy$

we are given that area as 1536

so, we can set it to 1536

$xy=1536$

now, we can solve for y

$y=\frac{1536}{x}$

now, we are given

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm

so, total area of poster is

$A=(8+x+8)\times (12+y+12)$

$A=(x+16)\times (y+24)$

now, we can plug back y

$A=(x+16)\times (\frac{1536}{x}+24)$

now, we have to minimize A

so, we will find derivative

$A'=\frac{d}{dx}\left(\left(x+16\right)\left(\frac{1536}{x}+24\right)\right)$

we can use product rule

$A'=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

$=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

now, we can simplify it

$A'=-\frac{24576}{x^2}+24$

now, we can set it to 0

and then we can solve for x

$A'=-\frac{24576}{x^2}+24=0$

$-\frac{24576}{x^2}x^2+24x^2=0\cdot \:x^2$

$-24576+24x^2=0$

$x=32,\:x=-32$

Since, x is dimension

and dimension can never be negative

so, we will only consider positive value

$x=32$

now, we can solve for y

$y=\frac{1536}{32}$

$y=48$

so, dimensions of printed poster are

length is 32 cm

width is 48 cm

5 0

3 years ago

Plz help. Will give brainliest to best answer

mariarad [96]

Answer:

9

Step-by-step explanation:

11cos35

6 0

3 years ago

Read 2 more answers

Plsss solve it!!!! ASAP???!!

klio [65]

Answer: 3 $\sqrt{5}$

Step-by-step explanation:

as you see c is the hypotenuse of the triangle that has two of the side 6 and 3

c^2=a^+b^2

c^2= 3^2+6^2

c^2=9+36

c^2=45

c= $\sqrt{45}$ =3 $\sqrt{5}$

3 0

3 years ago

Which of the following is an example of a statistical question?

Brums [2.3K]

I would say “how many dogs do each of you have?”

The other questions could all be one answer, like, “there are two people that wear size eight shoes” or “29 students have dogs in this school” or “Toyota made 90 cars last year”

But the third option, one person could have one dog, another could have four, another could have none. The answers will vary and there will be multiple

If this answer helped you, I would appreciate a brainliest!

3 0

3 years ago

Find the corresponding output for the function g.

Ierofanga [76]

Answer:

20

Step-by-step explanation:

The question is simply asking you to plug 6 into the function.

$g(x) =x^2-16$

$g(6) = 6^2-16 = 20$

3 0

2 years ago