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
Pavel [41]
3 years ago
11

A model rocket is launched from a platform 12 meters high at a speed of 35 meters per second. Its height h can be modeled by the

equation h= -4.9t'2+35t+12 where t is the time in seconds. at what time will the rocket be altitude of 60 meters.
Mathematics
1 answer:
babymother [125]3 years ago
6 0

Answer:

Step-by-step explanation:

so set the given equation equal to 60 and solve for t

60= -4.9t^{2} +35t +12

0= -4.9t^{2} +35t - 48

now use the quadratic equation to solve for t

-b +- sq rt ( b^{2} - 4 a c )  /  2 a

t = -35 +- sq. rt [ 1225 -4(-4.9)(-48) ] / 2 (-4.9)

t = -35 +- sq. rt [ 284.2] / -9.8

t = -35 +- 16/858 / - 9.8

t = 3.571 +- 1.72

t  = 1.85 seconds ( on the way up ) or  t = 5.29 seconds ( on the way down)

at both of those times the rocket will be at 60 meters  :)

You might be interested in
Estimate the area for the figure below. Assume that each square in the grid is one square inch.
Nutka1998 [239]

we will segment the sqaure in the shape into the following

full square,

0.75

0.5

0.25

full square = 68

0.75 = 18 x 0.75 = 13.5

0.5 = 5 x 0.5 = 2.5

0.25 = 17 x 0.25 = 4.25

to get the area of figure, we will add up the values that we have gotten

so,

Area of the figure = 68 + 13.5 + 2.5 + 4.25

Area of the figure = 88.25 square meter

5 0
1 year ago
If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)
Degger [83]

Answer:

\frac{f}{g}(5) = 270 ⇒ Last answer

Step-by-step explanation:

* If f(x) = 7 + 4x

* If g(x) = \frac{1}{2x}

* We want to find \frac{f}{g}(5)

- Lets find at first \frac{f}{g}(x)

∵ f(x) = 7 + 4x

∵ g(x) = \frac{1}{2x}

∴ \frac{f}{g}(x)=\frac{7+4x}{\frac{1}{2x}}

- Lets divide the numerator by the denominator

∵ The numerator is 7 + 4x

∵ The denominator is \frac{1}{2x}

∴ (7 + 4x) ÷ \frac{1}{2x}

- Lets reverse the division sign to multiplication sign and reciprocal

  the fraction after the division sign

∴ (7 + 4x) × \frac{2x}{1}

∴ \frac{f}{g}(x) = 2x(7 + 4x)

∴ \frac{f}{g}(x) = 14x + 8x²

- Now substitute x by 5

∴  \frac{f}{g}(5) = 14(5) + 8(5)² = 70 + 200 = 270

∴  \frac{f}{g}(5) = 270

4 0
3 years ago
Read 2 more answers
A triangle with vertices at A(-2, 2), B(-2, 5), and C(-4, 5) is TRANSLATED. The image of vertex A has coordinates at (4, -3)
scZoUnD [109]

Step-by-step explanation:

so sorry

don't know but please mark me as brainliest please

3 0
3 years ago
Solve the following system of equations.
sasho [114]
X is  minus 2
y is equal to 1
4 0
3 years ago
Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest number of p
Nady [450]
For this case we have the following type of equations:
 Quadratic equation:
 y = ax ^ 2 + bx + c

 Linear equation:
 y = mx + b

 We observe that when equating the equations we have:
 ax ^ 2 + bx + c = mx + b

 Rewriting we have:
 ax ^ 2 + (b-m) x + (c-b) = 0

 We obtain a polynomial of second degree, therefore, the maximum number of solutions that we can obtain is 2.
 Answer:
 The greatest number of possible solutions to this system is:
 c.2
7 0
2 years ago
Read 2 more answers
Other questions:
  • Which expression is equivalent to
    15·1 answer
  • Fred buys several shares of stock at $24 per share and sells them at $21.12 per share. what is the percent of decrease in the pr
    6·1 answer
  • What is ( 2 ^8 x 5^-5 x 19^0) ^-2 x ( 5^-2 / 2^3 ) ^4 x 2^28
    13·1 answer
  • how are adding and subtracting two rational numbers with different signs related to adding and subtracting two integers with dif
    10·1 answer
  • If f(x)=-3x-1, find f(-5)<br>a)16<br>b)15<br>c)-16<br>d)14​
    9·1 answer
  • The area of a trapezoid is 864 cm2. It has a height of 24 cm, and the length
    9·1 answer
  • 3.) 4+(15+26)=(4+15)+26
    11·1 answer
  • Find the volume of the cone.
    14·1 answer
  • You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 4 total p
    5·1 answer
  • The sum of the digits of a three digit number is 19. The second digit is one more than the first digit. The third
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!