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
Nastasia [14]
3 years ago
14

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

e given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
equation: y=−16x^2+177x+98
Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

y = -16x^2 + 177x + 98

It hits the ground when y = 0, so we have to find x for which y = 0, which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

y = -16x^2 + 177x + 98

-16x^2 + 177x + 98 = 0

So

a = -16, b = 177, c = 98

\bigtriangleup = 177^{2} - 4(-16)(98) = 37601

x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53

x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

You might be interested in
Simplify and write the trigonometric expression in terms of sine and cosine:
kicyunya [14]

Answer:

f(x) = + cosx or - cosx

Step-by-step explanation:

(2+tan^2x/sec^2x) -1 =(f(x))^2​

=(( 1 + sec^2x)/sec^2x) -1

= 1 / sec^2x + 1 - 1

=  1 / sec^2x

= cos^2x

(f(x))^2​ = cos^2x

f(x) = + cosx or - cosx

6 0
3 years ago
Please help it would be much appreciated!!
AlekseyPX

Answer:

a) P) 0.25 = 1/4  both

b) P) 0.75 = 3/4  one

c) P) 0.25  = 1/4  none

Step-by-step explanation:

4 routes to D + H

6 routes to H + S

= D  H   S

     4  | 6

    - 2 | -3

=    2  |  3  = route 1 = 2/4  and route 2 = 3/6

= 1/2 route 1 and 1/2 route 2

Answer a ) = 1/2 x 1/2 = 0.25 = 1/4  = 0.25 probability

Answer b)  = 1- (1/2 x 1/2) = 1- 0.25 = 3/4 = 0.75 probability

Answer c)  = 1/2 x 1/2 = 0.25 = 1/4 = 0.25 probability  

3 0
3 years ago
Matt bought 8 pie molds at a cost of $0.67 per mold. He also bought 8 pre-
kupik [55]

Answer:

$5.36

Step-by-step explanation:

multiply 8 by .67

6 0
3 years ago
A restaurant records the number of tables served each night, and the results have the values: minimum = 3, lower
natulia [17]

Answer: A. The first one

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Determine the y-intercept of the line that passes through (-5,-12) and has a slope of -5
brilliants [131]

Answer:

-37

Step-by-step explanation:

Not sure what the method is called, but you do this.

substitute the slope into slope formula

y= -5x+b

substitute the points you have for x and y

-12= -5(-5)+b

solve

-12= 25+b

-37= b

6 0
3 years ago
Other questions:
  • How many pints is in 1,620 gallons
    13·1 answer
  • Find the rate of change in the table​
    15·1 answer
  • Graham joined two congruent square pyramids to form the composite solid. If the lateral faces of the pyramids each have an area
    9·2 answers
  • What is fourteen times one thousand ?*
    11·2 answers
  • The largest fish ever caught in Lake A weighed 650 pounds. This is 208.2 pounds less than seven times the weight of the largest
    5·1 answer
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
    12·1 answer
  • Characteristics of ratio
    14·1 answer
  • On the last day of the school book fair, all pencils were one set price and all books were a different set price. Sammy bought 2
    12·1 answer
  • Li Juan solves the equation below by first squaring both sides of the equation.
    14·2 answers
  • Find the circumference. use 3.14 for π r=2 cm c=? c=π d<br> help please
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!