All ball is thrown into the air with an upward velocity of 24 ft/s. Its height h in feet after t seconds is given by the function h=-16t^2+24t+7. a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball's maximum height?

Answers

Answer 1

Answer: //I'm going to use differentiation to show you how to do this, although I would normally use mechanics.

dh/dt = -32t + 24
-32t + 24 = 0 when maximum
32t = 24
t = 24/32
t = 3/4

//To find the maximum height just substitute "t" in

h = -16 (9/16) + 24(3/4) + 7
h = -9 + 18 + 7
h = 16ft

Answer 2

Answer:

0.75 s; 16 ft

Step-by-step explanation:

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Can someone please help I really need help

Answers

Answer:

see below

Step-by-step explanation:

Each point and line moves to half its previous distance from the center of dilation, the origin. So, the point (-10, -10) moves to (1/2)(-10, -10) = (-5, -5). The dilation factor applies in the same way to other coordinates.

I find it easy enough just to spot the points on the graph and draw the lines between them.

What is the value of b? –7b = –42

Answers

for this question you can just divide the both sides by -7 so you gonna have :
-7b/-7 = -42/-7 ⇒ b = 6 :)))
i hope this is helpful
have a nice day

$-7b = -42\n\nb = (-42)/(-7)\n\n\boxed{\bf{b = 6}}$

$(3x + 2y) (2x + y)$

Answers

Odpowiedź na to pytanie to 5xy 2xy

The answer is 5x and 3y

Hi! I need the answers to this quick! The equation of the graph shown is y=ax+b, where a and b are real numbers. What is true about a and b?

Answers

Final answer:

'a' and 'b' in the equation y=ax+b are real numbers, where 'a' is the slope of the line and 'b' is the y-intercept.

Explanation:

In the linear equation y = ax + b, 'a' and 'b' are constants or real numbers. The value of 'a' determines the slope of the line, meaning whether the line rises or falls as it progresses along the x-axis. If 'a' is positive the line rises, if 'a' is negative, the line falls. The value of 'b', on the other hand, is the y-intercept. This is the point at which the line crosses the y-axis. So, in essence, 'a' indicates the tilt of the line whereas 'b' defines where it intersects the y-axis.

Learn more about Linear Equation here:

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the Seattle Space needle is 604 feet tall. A model of the building is 48 inches tall. What is the ratio of the height of the model to the height of the actual Space Needle?

Answers

For the answer to the question above asking, what is the ratio of the height of the model to the height of the actual Space Needle the Seattle Space needle is 604 feet tall and a model of the building is 48 inches tall.
The answer would be is 6.05 feet or 6 feet 19/32 inch. I hope this helps

Answer:

The correct answer is C) 1:151

Step-by-step explanation:

I took the test and I originally put A) 151:1 but that is INCORRECT people!!! The correct answer is C) 1:151, so that being said if you see someone put A as the answer THAT IS WRONG!!

I took the test and got it wrong but now I know the answer so happy test taking (look at the ss)

hope this helps :)

Find the area of a circle circumscribed about an equilateral triangle whose side is 18 inches long.a. 81
b. 108
c. 243

Answers

$The\ area\ of\ a\ circle:A_O=\pi r^2\ \ \ \ /r-a\ radius/\nThe\ length\ of\ a\ radius\ of\ a circle\ circumscribed\ about\ an\nequilateral\ triangle:r=(a\sqrt3)/(3)\ \ \ /a-a\ lenght\ of\ a\ side\ the\ triangle\n-------------------------------\nr=(18\sqrt3)/(3)=6\sqrt3\ (in)\n\nA_O=\pi\cdot\left(6\sqrt3\right)^2=\pi\cdot6^2\cdot\left(\sqrt3\right)^2=\pi\cdot36\cdot3=108\pi\ (in^2)\n\n\pi\approx3.14\n\ntherefore\n\nA_O\approx108\cdot3.14=339.12\ (in^2).....$

See attached for work.
$s=18\rightarrow r=6\sqrt3\rightarrow A_\odot=\pi(6\sqrt3)^2=\boxed{108\pi\ in^2}$

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