The height of a balloon is given by the fucntion s(t)= -960t^2+26400t , where t= hours since lift-off and s= feet . Find the velocity of the balloon 5 hours after lift off

Answers

Answer 1

Answer: v is slope of graph s-t
v(t) = s'(t) = -1920t + 26400
v(5) = -1920(5) + 26400

Answer 2

Answer: 16800 metres

Working
i) Differentiate the given function to get the velocity function:
ds/dt = =1920t+ 26400
Then replace the value of t with 5 hours
v(t)= -1920(5)+26500
v(t)= -9600+26500
V(5)= 16800 m

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One weekday, the ticket sales person at a bus station asks every 10th ticket buyer if they had planned to use a laptop computer while traveling. Of the 145 travelers questioned, 54 said yes.Based on this sample, predict how many people out of 3100 weekday bus travelers will use a laptop while traveling. Round to the nearest whole number.
On a coordinate graph, which of the following is TRUE of Quadrant 3? is it A. The x and y values are both positive. B. The x values are positive and the y values are negative. C. The y values are positive and the x values are negative. D. The x and y values are both negative.
Solve the equation for tt-(7-3t) +5=2t+10
Solve y = 2xz2 - xy for x
Identify this conic section. x 2 - 4x + y 2 - 4y + 4 = 12

4. 9
whats the answer

Answers

Answer:5.0

Step-by-step explanation:

Help answer all questions please and tell me how you got the answers

Answers

8. You start with 240 gallons if in march you use 40% (.4(240)=96) you used 96 gallons in march, leaving you with 144 gallons. If you then used 25% in April (.25(144)=36) you would have used 36 gallons leaving you with 108 gallons at the end of April.

9. If 2277 is 110% the number of 2013 to find what 2013 was you would divide by 110%(1.1)
2277/1,1=2070 at the end of 2013
If 2070 is 90% then we will want to divide by 90% (.9) to get the year before that
2070/.9=2300 so 2300 people were signed up in the year 2012

10. 57.5=p(250)
to solve this divide both sides by 250 to get p=.23
As for the different elements to the equation, there are various answers such as what percentage of people donated $250 if the average amount of money donate from each one is 57.5 although that may no be what you instructor is looking for. pretty much just make up something that sounds okay and you should be fine

A sphere has a radius of 5cm what is the volume of the sphere

Answers

Answer:

$(500)/(3)\pi$

Step-by-step explanation:

The equation for Volume of a Sphere is:

$V=(4)/(3)\pi r^3$

We can plug in the given radius into the equation:

$V=(4)/(3)\pi5^3=(4)/(3)\pi125=(500)/(3)\pi$

Find the unit rate for number of parts manufactured per hour if 1116 parts are made in 7 hours. Round to the nearest integer.A. 209 parts/h

B. 127 parts/h

C. 159 parts/h

D. 183 parts/h

Answers

The unit rate is obtained by dividing the amount of work done by the unit time. In the problem, we are already given the total number of parts manufactured (amount of work done) and the total amount of time to manufacture (7 hours).

Obtaining the unit rate is as simple as dividing 1116 parts by 7 hours, as shown below:

Unit rate = 1116 parts / 7 hours
Unit rate = 159.42857

Therefore the unit rate is approximately 159 parts/h.

From a class of girls and boys the probability that one student chosen at random to answer a question will be a girl is 1/3 . If four boys leave the class , the probability that a student chosen at random to answer a question will be a girl is 2/5 . How many boys and girls are there in the class before the four boys leave ?

Answers

let the no. of girls be x and boys be y......
x/y=1/3
=>3x=y ...............(I)
now 4 boys leave the class is then
x/y-4=2/5
=>5x=2y-8
(I)=>5x=2(3x)-8
x=8
now 3x=y
=>y=24
therefore no. of girls is 8 and the no. of boy is 24..............
I have tried my best.....hope i helped............

Answer:

Step-by-step explanation:

What is the equation of the line that passes through the points (-2,2) and (0,5)?

Answers

$(-2,2), \ \ \ (0,5)\n\nFirst \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \n \n m= (y_(2)-y_(1))/(x_(2)-x_(1) ) \n \nm=( 5-2)/(0+2) = (3)/(2) \n \n Use \ point \ form \ of \ a \ line\ with \ one \ point: \n \n y-y_(1) =m(x-x _(1))\n\nm=(3)/(2), \ \ x_(1)=-2, \ \ y_(1)=2 \n \ny- 2 = (3)/(2) (x+2)\n\ny=(3)/(2)x +3+2 \n \ny=(3)/(2)x + 5$

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Why is the answer A? Plz explain.