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
sleet_krkn [62]
3 years ago
10

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t2 + 40t + 7.

Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s. Which solution can be eliminated and why?
Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
6 0

Answer:

Its -0.2 Because time cannot be a negative value.

Step-by-step explanation:

Nostrana [21]3 years ago
5 0
Indicated here when h(t) = 0, we are to find for the time where the football has reached a certain height. 


Then, the values of t would be -0.2 and 2.7.

Since we are to look for the time, it is impossible for us to have an answer that has a negative value. So based from our answer, the solution that we will eliminate is the -0.2 one. Since its value is negative.

So, the correct value would be the 2.7 sec. one.
You might be interested in
An artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of
Liula [17]

Answer:

  65.8 ft

Step-by-step explanation:

The number of strings required to tie each vertex to the other three will be ...

  (4)(3)/2 = 6

Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.

  d² = 12² +7² = 144 +49 = 193

  d = √193 ≈ 13.892

Then the total length of all strings is ...

  L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet

The artist will need 65.8 feet of string.

4 0
2 years ago
7/4x^2 -2 = - 0.05x + 4
nata0808 [166]

Answer:

x1=\frac{-2-2\sqrt{29401} }{245}  x2=\frac{-2+2\sqrt{29401} }{245}

Step-by-step explanation:

Step One: Convert

49/16x^2-2=-0.05x+4

Step Two: Multiply Both Sides by 80

245x^2-160=-4x+320

Step Three: Move everything to the left

245x^2+4x-480=0

Final Step: Quadratic Formula

x1=\frac{-2-2\sqrt{29401} }{245}  x2=\frac{-2+2\sqrt{29401} }{245}

6 0
3 years ago
Two landscapers must mow a rectangular lawn that measures 100 feet by 200 feet. Each wants to mow no more than half of the lawn.
Citrus2011 [14]

The total area of the complete lawn is (100-ft x 200-ft) = 20,000 ft².
One half of the lawn is  10,000 ft².  That's the limit that the first man
must be careful not to exceed, lest he blindly mow a couple of blades
more than his partner does, and become the laughing stock of the whole
company when the word gets around.  10,000 ft² ... no mas !

When you think about it ... massage it and roll it around in your
mind's eye, and then soon give up and make yourself a sketch ...
you realize that if he starts along the length of the field, then with
a 2-ft cut, the lengths of the strips he cuts will line up like this:

First lap:
       (200 - 0) = 200
       (100 - 2) = 98
       (200 - 2) = 198
       (100 - 4) = 96    

Second lap:
       (200 - 4) = 196
       (100 - 6) = 94
       (200 - 6) = 194
       (100 - 8) = 92   

Third lap:
       (200 - 8) = 192
       (100 - 10) = 90
       (200 - 10) = 190
       (100 - 12) = 88 

These are the lengths of each strip.  They're 2-ft wide, so the area
of each one is (2 x the length). 

I expected to be able to see a pattern developing, but my brain cells
are too fatigued and I don't see it.  So I'll just keep going for another
lap, then add up all the areas and see how close he is:

Fourth lap:
       (200 - 12) = 188
       (100 - 14) = 86
       (200 - 14) = 186
       (100 - 16) = 84 

So far, after four laps around the yard, the 16 lengths add up to
2,272-ft, for a total area of 4,544-ft².  If I kept this up, I'd need to do
at least four more laps ... probably more, because they're getting smaller
all the time, so each lap contributes less area than the last one did.

Hey ! Maybe that's the key to the approximate pattern !

Each lap around the yard mows a 2-ft strip along the length ... twice ...
and a 2-ft strip along the width ... twice.  (Approximately.)  So the area
that gets mowed around each lap is (2-ft) x (the perimeter of the rectangle),
(approximately), and then the NEXT lap is a rectangle with 4-ft less length
and 4-ft less width.

So now we have rectangles measuring

         (200 x 100),  (196 x 96),  (192 x 92),  (188 x 88),  (184 x 84) ... etc.

and the areas of their rectangular strips are
           1200-ft², 1168-ft², 1136-ft², 1104-ft², 1072-ft² ... etc.

==> I see that the areas are decreasing by 32-ft² each lap.
       So the next few laps are 
               1040-ft², 1008-ft², 976-ft², 944-ft², 912-ft² ... etc. 

How much area do we have now:

             After 9 laps,    Area =   9,648-ft²
             After 10 laps,  Area = 10,560-ft².

And there you are ... Somewhere during the 10th lap, he'll need to
stop and call the company surveyor, to come out, measure up, walk
in front of the mower, and put down a yellow chalk-line exactly where
the total becomes 10,000-ft².   


There must still be an easier way to do it.  For now, however, I'll leave it
there, and go with my answer of:  During the 10th lap.

5 0
3 years ago
Simplify: 1. Write the prime factorization of the radicand. 2. Apply the product property of square roots. Write the radicand as
Elis [28]

Simplify: 

<span>1. Write the prime factorization of the radicand.</span>  <span>2. Apply the product property of square roots. Write the radicand as a product, forming as many perfect square roots as possible. </span>

3. Simplify.

 =the answer is 18


4 0
3 years ago
Read 2 more answers
How many solutions exist for the given equation?<br>12×+1=3(4×+1)-2​
Ipatiy [6.2K]

Answer:

infinite Solutions

Step-by-step explanation:

12x+1 = 12x+3-2

12+1 = 12x+1

The equation is same on both sides, so x can be anything.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Two lengths of a triangle are shown.
    14·2 answers
  • How to do this question plz ​
    15·1 answer
  • Select the correct answer
    7·1 answer
  • Plz help, will mark brainliest
    7·1 answer
  • Which expression is equivalent to x2+3x+ 3+ (2x+134+15) - (x+5))
    12·1 answer
  • 7(m+5) = 21 <br><br>What is it?​
    14·2 answers
  • Help pls 25 points don’t answer if you do not know
    7·2 answers
  • Lisa made 300 doller in 6 hours. find the untit rate
    10·1 answer
  • What is the square of the sum of five and a number diminished by 6?
    15·1 answer
  • What is number of terms for 32y- 28​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!