1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inysia [295]
3 years ago
9

I need help with this one I’m not sure if I got it right

Mathematics
1 answer:
weqwewe [10]3 years ago
7 0

Answer:

144 feet

Step-by-step explanation:

Since this is a quadratic equation, we simply need to find the vertex in order to determine the maximum height!

To solve the equation, follow these steps!:

0 = 16t^2+96t\\\\\frac{-b}{2a} =x\\\\\frac{-96}{2(-16)}=3=x

Now we insert x back into the equation...

= -16(3)^2+96(3)\\ = -16(9)+288\\ =-144+288\\=144

You might be interested in
1. Tom and his best friend Edward are seeking to join a gym. Tom saw on television that Platinum Gym was having a grand opening
LiRa [457]
A) let x=months let y=cost y=mx+b y= 20x+ 60 Remember 20 is the variable which means in this case every month it cost 20$ and 60 is the constant which means you only pay it once

B) let x= Months let y= cost y=10x + 150

C) platinum gym y= 20x+60 y=20(1)+60 y=20+60 y=80 Superfit y=10x+150 y=10(1)+150 y=10+150 y=160 Therefore Tom will pay less after the first month

D) y=y solve for x y=20x+60 y=10x+150 20x+60=10x+150 -10x. -10x 10x+ 60=150 -60. -60 10x=90 10x/10=90/10 X=9 9 months Pick any equation and sub in x Y=10x+150 Y=10(9)+150 Y=90+150 Y=240 240$ Know that you only have to do one equation to find y but if you want to show both you can Therefore there is a period where Tom and Edward paid the same amount, after nine months they would both pay $240

E) if they plan on going to the gym 9 months and less the best deal gym is platinum gym but if they want to go for more then 9 months then the best deal gym is super fit
5 0
4 years ago
What is the reciprocal of -2/3
ryzh [129]
3/-2

I Hoped I Helped

<span>ΩΩΩΩΩΩΩΩΩΩ</span>
8 0
4 years ago
Read 2 more answers
Find all the solutions for the equation:
Contact [7]

2y^2\,\mathrm dx-(x+y)^2\,\mathrm dy=0

Divide both sides by x^2\,\mathrm dx to get

2\left(\dfrac yx\right)^2-\left(1+\dfrac yx\right)^2\dfrac{\mathrm dy}{\mathrm dx}=0

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2\left(\frac yx\right)^2}{\left(1+\frac yx\right)^2}

Substitute v(x)=\dfrac{y(x)}x, so that \dfrac{\mathrm dv(x)}{\mathrm dx}=\dfrac{x\frac{\mathrm dy(x)}{\mathrm dx}-y(x)}{x^2}. Then

x\dfrac{\mathrm dv}{\mathrm dx}+v=\dfrac{2v^2}{(1+v)^2}

x\dfrac{\mathrm dv}{\mathrm dx}=\dfrac{2v^2-v(1+v)^2}{(1+v)^2}

x\dfrac{\mathrm dv}{\mathrm dx}=-\dfrac{v(1+v^2)}{(1+v)^2}

The remaining ODE is separable. Separating the variables gives

\dfrac{(1+v)^2}{v(1+v^2)}\,\mathrm dv=-\dfrac{\mathrm dx}x

Integrate both sides. On the left, split up the integrand into partial fractions.

\dfrac{(1+v)^2}{v(1+v^2)}=\dfrac{v^2+2v+1}{v(v^2+1)}=\dfrac av+\dfrac{bv+c}{v^2+1}

\implies v^2+2v+1=a(v^2+1)+(bv+c)v

\implies v^2+2v+1=(a+b)v^2+cv+a

\implies a=1,b=0,c=2

Then

\displaystyle\int\frac{(1+v)^2}{v(1+v^2)}\,\mathrm dv=\int\left(\frac1v+\frac2{v^2+1}\right)\,\mathrm dv=\ln|v|+2\tan^{-1}v

On the right, we have

\displaystyle-\int\frac{\mathrm dx}x=-\ln|x|+C

Solving for v(x) explicitly is unlikely to succeed, so we leave the solution in implicit form,

\ln|v(x)|+2\tan^{-1}v(x)=-\ln|x|+C

and finally solve in terms of y(x) by replacing v(x)=\dfrac{y(x)}x:

\ln\left|\frac{y(x)}x\right|+2\tan^{-1}\dfrac{y(x)}x=-\ln|x|+C

\ln|y(x)|-\ln|x|+2\tan^{-1}\dfrac{y(x)}x=-\ln|x|+C

\boxed{\ln|y(x)|+2\tan^{-1}\dfrac{y(x)}x=C}

7 0
3 years ago
If a city with a population of 700,000 doubles in size every 71 years, what will the population be 213 years from now?
hichkok12 [17]

Answer:

2,100,000

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the vertex of the function x2 - 14x - 95 = 0?
monitta
I hope everythink is clearly :) If not just ask :)


answer for your question is starting when x^2-14x-95=0. Just Ignore this above this.

6 0
3 years ago
Other questions:
  • The mean of the data is 18. What number is missing? 21,11,_,27,22,13,16
    13·1 answer
  • bill drove 315 miles in 7 hours, alisha drove 235 miles in hours, and Joanne drove 414 miles in 9 hours. Which person drove at a
    9·2 answers
  • How many one inch cubes do you need to create a cube with an edge Length of 6 inches?
    9·1 answer
  • What is square root of 1/25
    15·1 answer
  • How do i order 0.5,0.41,3/5 from least to greatest
    13·1 answer
  • Select the correct answer. Sam bought a laptop computer at a discounted price using his credit card. Which sentence describes a
    15·1 answer
  • 7 thousand = blank hundreds 10 tens
    12·1 answer
  • 10. On the playground, Grace threw the ball 3 more feet than Ella. Grace threw the ball 21
    15·1 answer
  • The equation yˆ=6.8x+9.1 is the equation of a regression line in a scatter plot.The x-value is the number of hours after a store
    15·1 answer
  • Can somebody help me please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!