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
Triss [41]
4 years ago
12

Jon is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when it fa

lls back to a height of 4 feet. The height of the ball is given by h = - 16x^2 + 6t + 5 where in seconds How much time will pass before Jon hits the ball? What is the maximum height the ball attains?
Mathematics
1 answer:
vazorg [7]4 years ago
3 0

Answer:

Time  that will pass before Jon hits the ball is 0.5 seconds  

The maximum height the ball attains is 6.875 feet

Step-by-step explanation:

Step 1: To find out how much time passes before Jon hits the ball

The height he hits the ball when it falls is 4 feet

so,

4 =  - 16t^2 + 6t + 5

4 + 16t^2 - 6t - 5 = 0

16t^2 - 6t -1 = 0 -------------------------(1)

Solving eq(1) using quadratic formula, we get

t =  \frac{-b \pm\sqrt{b^2-4ac}}{2a}

t =  \frac{-(-6) \pm\sqrt{(-6)^2-4(16)(-1)}}{2(16)}

t =  \frac{6 \pm\sqrt{36+64}}{32}

t =  \frac{6 \pm\sqrt{100}}{32}

t =  \frac{6 \pm10}{32}

Taking only the positive value

t =  \frac{16}{32}

t = 0.5 seconds

Step 2: To find the maximum height of the ball

Max height  will be reached at [\frac{-b}{2a}] sec

=\frac{-b}{2a}

\\ = \frac{-(-6)}{2\times16}\\

= \frac{6}{32}

Now the height at t= \frac{6}{32} is

16( \frac{6}{32})^2 - 6(  \frac{6}{32}) -1 = h

( \frac{6}{2})^2 -   \frac{36}{32} -1 = h

( 3)^2 -  1.125  -1 = h

9 -  1.125  -1 = h

6.875  =  h

You might be interested in
Rhombus
Mama L [17]

Answer:  (a) isosceles  (b) right

<u>Step-by-step explanation:</u>

(a) All sides of a rhombus are congruent → PN = AN

   Therefore, ΔPNA has two congruent sides so is ISCOSCELES

(b) The diagonals of a rhombus are perpendicular (equal to 90°)

    Therefore, ∠PEL = 90° so ΔPEL is a RIGHT triangle

5 0
3 years ago
A gallon of latex paint can cover 400 square feet. Maria has a rectangular room whose dimensions are 25 feet by 12 feet, with 8-
Romashka [77]
Maria would need 3 gallons of paint to cover all 4 walls with 2 coats of paint
7 0
4 years ago
Plz help no links I will give brainiest to whoever helps
Triss [41]

Answer:

110.92

Step-by-step explanation:

Assuming that the parameters (P), (h), and (B) all represent dimensions of the given prism, then based on the given information, the following can be concluded:

P = 6.6

h = 4.5

B = 2.2

The surface area is the two-dimensional area around a three-dimensional surface. In other words, if one was going to wrap the figure, the surface area is the amount of paper one would need. One can find the surface area by finding the area of each individual side and then adding all the results together. To find the area of a 2-dimensional figure by multiplying the length by the width.

(4.5) * (6.8) = 30.6

(4.5) * (6.8) = 30.6

(2.2) * (6.8) = 14.96

(2.2) * (6.8) = 14.96

(4.5) * (2.2) = 9.9

(4.5) * (2.2) = 9.9

Now add up all of the values,

30.6 + 30.6 + 14.96 + 14.96 + 9.9 + 9.9

= 110.92

3 0
3 years ago
HELP ARGET WILL GIVE BRAINLYEST<br><br> What are the coordinates (2,2) and (-1,-4) in standard form
Greeley [361]
Not positive if this is right but this is the answer I got with my work below⇩ hope this helps★ put a pic of these points on a graph above

ANSWER: y= 2x - 2


STEP BY STEP:


First do the equation y2-y1 / x2-x1⇩

Y2-y1 -4 - 2 -6
_____ = _____ = ___ = 2
X2-x1 -1 - 2 -3

This answer gives you the slope. Substitute it for m in your standard form of y= mx+b⇩

y= 2x + b

Now use the slope and one point to find the y Intercept (I will use [-1,-4]) ⇩

-4= 2(-1) + b
-4= -2 + b
+2 +2
-2 = b

Now substitute that for b⇩

Y = 2x -2


5 0
4 years ago
I need help with this question asap it’s due today and soon
svetoff [14.1K]
The answer would be 49m^2
4 0
3 years ago
Other questions:
  • If f(x) = x2 -1, what is the equation for f–1(x)?
    9·2 answers
  • Two different pairs of negative integers, x and y, that make the statement x-y=2 true
    6·2 answers
  • I NEED MAJOR HELP PLEASE&lt; I WILL LITERALLY GIVE ALL MY POINTS AWAY TONIGHT!! MULTIPLE QUESTIONS/MULTIPLE SUBJECTS
    9·1 answer
  • When constructing a congruent line segment to segment CD, the ray needed for the construction must be shorter than segment CD. T
    9·2 answers
  • (3x^2 - 2x)(2x^2 + 3x - 1) Polynomials
    14·1 answer
  • PLEASE PLEASE HELP!!
    6·1 answer
  • A scientist cuts a box parallel to its bases, and the resulting two-dimensional cross section is a square. Which original figure
    6·1 answer
  • 75% of _ = 66<br><br> help me please...
    11·2 answers
  • Kristen used the expression 82 - 22.2-52, what is the<br> value of it?
    10·1 answer
  • Helllllppppppp <br> A<br> B<br> C<br> D??
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!