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
Lerok [7]
2 years ago
10

The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9

0 ft./s is given by the equation H equals 3+90 T -16 T squared where t equals time in seconds. After how many seconds will the ball be 84 feet above the ground
Mathematics
1 answer:
mariarad [96]2 years ago
3 0

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

3+90\cdot t -16\cdot t^{2} = 84

16\cdot t^{2}-90\cdot t +81 = 0 (1)

By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

You might be interested in
At Edwards Middle School there are 8 teachers for every 136 students. There are 850 students enrolled at the school. How many te
In-s [12.5K]

Answer:

50

Step-by-step explanation:

one teacher per 17 students

7 0
2 years ago
Read 2 more answers
Money committed to something that is expected to produce a financial profit is a?
grigory [225]
Money that is expected to produce a final profit is called an investment.
8 0
3 years ago
How to do break even analysis​
Ksenya-84 [330]

Answer:

To calculate a break-even point based on units: Divide fixed costs by the revenue per unit minus the variable cost per unit. ...

When determining a break-even point based on sales dollars: Divide the fixed costs by the contribution margin.

7 0
3 years ago
if we have a geometric series with u1 = 2.1 and r= 1.06, what would the least value of n be such that Sn &gt; 5543?
bulgar [2K]

Answer:

  88

Step-by-step explanation:

Write the expression for the sum in the relation you want.

  Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)

  Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)

The relation we want is ...

  Sn > 5543

  35(1.06^n -1) > 5543 . . . . substitute for Sn

  1.06^n -1 > 5543/35 . . . .  divide by 35

  1.06^n > 5578/35 . . . . . . add 1

  n·log(1.06) > log(5578/35) . . . take the log

  n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n

The least value of n such that Sn > 5543 is 88.

3 0
2 years ago
Hans invests $550 at a rate of x% per year compound interest. At the end of 10 years, the value of the investment is $638.30, co
cricket20 [7]

Answer:

1.5%.

Step-by-step explanation:

x per cent is written as 0.01x as a decimal fraction.

638.30 = 550(1 + 0.01x)^10

(1 + 0.01x)^10 = 638.30/550

Taking logarithms:

10 ln (1 + 0.01x) = ln ( 638.30/550)

ln (1 + 0.01x) =  ln ( 638.30/550)/ 10

ln(1 + 0.01x) = 0.014889

Converting the logs:-

1 + 0.01x = e^0.014889 = 1.015

0.01x = 1 - 1.015

0.01x = 0.015

x = 0.015/ 0.01

= 1.5.

8 0
2 years ago
Other questions:
  • Consider the numbers 4/15 and 3/10 (a) Compare the numbers. (B) find a fraction between the two given numbers
    11·1 answer
  • Charlie mixes 15 liters of 17% acid solution with a 29% acid solution, which results in 23% acid solution.
    12·1 answer
  • Diane Has to give medicine to her cat every morning for the next 21 days. How many weeks is this?
    7·2 answers
  • Can i have some help with this please?
    11·2 answers
  • A layered birthday cake has two rectangular prism layers. The base layer measures 12 inches by 10 inches.The second layer is thr
    11·1 answer
  • What is the area of the composite figure above?
    10·2 answers
  • Amal and ji both rent out their food trucks. the table shows the amounts amal and ji charge per hour to rent their food truck wh
    6·1 answer
  • Math question for 30 points please answer correctly
    5·1 answer
  • (100 POINTS!!!!!) DO NOT GIVE ME THE ANSWER!<br> Please just explain HOW I can get the answer
    10·1 answer
  • There are 40 markers in a bag. Of the 10 scented markers, 6 are permanent markers. Half of the unscented markers are erasable.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!