Suppose the equation h =− 16t2 + 35t models the altitude a football will reach t seconds after it is kicked. Is it possible for the football to reach 16 ft in the air? Justify your answer.

Answers

Answer 1

Answer:

The ball will be able to reach the 16 ft.

Step-by-step explanation:

In order to calculate if the ball will be able to reach that height, we must make "h" equal to 16, if there's a real positive solution, then the ball will be able to reach it.

16 = -16t² + 35t

16t² - 35t + 16 = 0

t = [-(-35) +- sqrt((-35)² - 4*16*16)]/(2*16)

t = [35 +- sqrt(1225 - 1024)]/32

t = [35 +- sqrt(201)]/32

t = (35 +- 14.177)/32

t1 = 0.65071875

t2 = 1.5367

The ball will reach that height at 0.65 s and 1.53 s.


Related Questions

What is the vertex of the graph of the function f(x) = x^2 + 8x − 2 ?
a (−4, 18)
b (0, -2)
c (-8, -2)
d (−4, −18)

Answers

Answer:

The vertex is at (-4, -18)  (Fourth answer choice)

Step-by-step explanation:

The standard vertex equation of a parabola is f(x) = (x - h)^2 + k.

"Completing the square" is one of the faster and better ways of determining the vertex:

f(x) = x^2 + 8x - 2  =>  f(x) = x^2 + 8x + 16 - 16 - 2  =>  (x + 4)^2 - 18.  Comparing this to (x - h)^2 + k, we see that h = -4 and k = -18.  The vertex is at (-4, -18).

Use the distance formula to write an equation of the parabola with focus F(0, -13) and directrix y=13

y=?

(FINALEXAM)

Answers

Answer:

-1/52 x^2

Step-by-step explanation:

4p(y-k)=(x-h)^2

4(-13)y=x^2

-52y=x^2

y=-1/52 x^2

Please answer quick:) I will give you brainliest

Answers

I think a)= decrease by 20 (or something with 20)
B coming soon

At A-1 Truck Dealership, a customer can order a red, turquoise, or green truck. The truck can have leather or cloth seats. A customer can also choose a black, tan, or grey interior color. From how many possible trucks can a customer choose? *

Answers

Answer:

18

Step-by-step explanation:

3 colors: red, turquoise, or green

2 seats: leather or cloth

3 interior color: black, tan, or grey

3*2*3 = 18 Possible trucks:

{red, leather, black}

{red, leather, tan}

{red, leather, grey}

{red, cloth, black}

{red, cloth, tan}

{red, cloth, grey}

{ turquoise, leather, black}

{ turquoise, leather, tan}

{ turquoise, leather, grey}

{ turquoise, cloth, black}

{ turquoise, cloth, tan}

{ turquoise, cloth, grey}

{green, leather, black}

{green, leather, tan}

{green, leather, grey}

{green, cloth, black}

{green, cloth, tan}

{green, cloth, grey}

Determine the ratio of the directed line segment AB when partitioned by point P.

Answers

Answer:

Step-by-step explanation:

Does 10 24 26 make a right triangle

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

i can only assume you mean degrees, you worded it strangely, but they add to 60 degrees and a right triangle is 90

Which three-dimensional figures have lateral faces that are polygons? Check all that apply. cones cylinders hemispheres prisms pyramids spheres

Answers

Answer:

Prisms

Pyramids

Step-by-step explanation:

Lateral faces of a pyramid are triangles (3 sided polygon)

Lateral faces of prisms are rectangles (4 sides polygon)

Answer:

Cylinders, Prisms, Pyramids

Step-by-step explanation:

Hope this helps

Brainliest if correct pls

Given the exponential equation y=34(5)x, what is the y-intercept (or starting point) of the graph?

Answers

Answer:

34

Step-by-step explanation:

Given

y = 34[tex](5)^{x}[/tex]

To find the y- intercept let x = 0, that is

y = 34[tex](5)^{0}[/tex] = 34 × 1 = 34 ← y- intercept

Yes the answer is 34 because if you

If Jay has an 85 average over four exams, what would his average need to be on his
last two exams to bring his average up to an 88?

Answers

Answer:

91 average for his next exams

Step-by-step explanation:

he has an 85 right now. if he gets a 91 then his overall average will be an 88 like he wanted.

(this is how u find average) ( add them together then divide it by how many numbers there are)

85+91=176

176/2= 88

therefore the average on his next 2 exams must be

91

hope this helps! <3

i’ll give 17 points for this!

Answers

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

The reason why it is 90 because it looks like it is going in order so it would be 55 , 90 , 92 , 114

Hope i was to explain this real good Hope this is rightBrainliest plz

HELP ME PLEASE!!!

I don't understand...
If possible, please explain!

Answers

Answer:

saa.

Step-by-step explanation:

if you look at where the triangles connect, you will see they share an angle. that makes those two congruent. then yousee the SAA thrm. you go side (the line through one side) then the angle (the one that the two triangles share) then angle (the two marked congruent angles)

Angle Side Angle or ASA because the vertex is always equal on both sides and the side is indicated congruent and angles are also indicated congruent
Answer:ASA

Organize the functions from the least to greatest according to their y-intercepts.

Answers

Answer:

last, second, first

Step-by-step explanation:

least to greatest from y intercepts (5, 2, 3)

The box plot shows the number of years during which 16 schools have participated in a marching band competition: At least how many schools have participated for 3 to 7 years? (4 points) Group of answer choices 3 schools 5 schools 7 schools 8 schools

Answers

Answer:

I believe its 7 schools, i might be wrong. What quiz is it?

Step-by-step explanation:

Classify the shape below,
6 mm
6 mm
1. kite
II. parallelogram
III. rectangle
IV, rhombus
V. square
6 mm
6 mm
note: not drawn to scale
A. III, IV, and V
B. II, IV, and V
C. ll and I
D. IV onl

Answers

Answer:

v

Step-by-step explanation:

it has two equal sides of 6 and thats all you need


Please answer fast
Solve the following system of equations graphically. Click on the graph until the correct solution of the system appears.

y = -3

x - y = 8

Answers

Answer:

[tex](5,-3)[/tex]

Step-by-step explanation:

Solve by Graphing.

Graph the lines.

When we graphed them, the intercepted at point (5,-3).

The solution the the system of equations is (5,-3).

Answer:

5,-3

Step-by-step explanation:

Plz can someone help

Answers

Answer:

the total number of students is 1240

Step-by-step explanation:

the difference between 11 and 9 is 2

124÷2=62

62×11=682

62×9=558

682+558=1240

pls give me brainliest!

answer the following 2 question ​

Answers

Answer:

Step-by-step explanation:

ii) Perimeter = 8 + 7 + 17 + 16 + (17-8) + (16-7)

                   =8+ 7 + 17 +16 + 9 + 9

                  = 66 m

Area = area of upper rectangle + area of lower rectangle

        = 8*7 + 16*9

       = 56 + 144

   = 200 m²

Now Cathy is three times as old as Katie. In six years Cathy will be only twice as old as Katie. How old is each girl now?

Answers

Answer:

6 and 18

6+6=12

18+6=24

12x2=24

Unless a number is given it is mainly trial and error so guessing numbers that fit the first part of Ax3=B

Step-by-step explanation:

In the diagram of circle A, what is m angle LMN?
О 75°
O90°
О 120°
135°
ОО

Answers

Answer:

90

Step-by-step explanation:

Angle Formed Outside = 1/2(DIFFERENCE of Intercepted Arcs)

ARC LN = 360 - 270 =90

LMN  = 1/2(270 -90)

         = 1/2 (180)

        = 90

Answer:

90

Step-by-step explanation:

Over a 4.5 hour period, the rain gauge collected 2.8 inches of rain. In the
next 19.5 hours it collected an additional 1.75 inches of rain. What is the
total amount of rain, in inches, that the gauge collected?
Your answer
Select all the expressions that are equivalent to 1.94
~
2.37 -0.43​

Answers

Answer: 4.55 inches of rain

Step-by-step explanation: Is this a trick question? It's a lot easier than it looks...but i'll give you a step by step explanation.

So, we know is 4.5 hours it collect 2.8 inches of rain, must have been a rainy day.

The next day the gauge collect 1.75 inches of rain, it must have sprinkled a little.

2.8 + 1.75 = 4.55

Therefore, the guage collected 4.55 inches of rain in total.

I hope this helps!

What is the quotient

Answers

The second one: 4 times 10 to the power of 12

The second one 4 times 10 the power is 12

Find the perimeter of the figure.

Answers

Answer:

69.8

Step-by-step explanation:

Find the nth term of the sequence 8,10,12,14,16

Answers

Answer:

18

Step-by-step explanation:

The pattern goes in even number increments of two.

Hope this helps :)

The answer would be 18 because it is going up by 2s. Hope that helped!

Divide and answer in simplest form: 4/5 ÷ 2

Answers

Answer:

2/5

Step-by-step explanation:

4/5*1/2=4/10=2/5

Answer:

0.4 or [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

First convert 4/5 into a decimal of 0.8

Then divide 0.8 by 2 which gives you 0.4 or [tex]\frac{2}{5}[/tex]

A bag contains 28 marbles: 9 black, 14 red, and 5 blue. A marble is drawn from the bag at random.
What is the probability of getting a red blue marble? Write answer as SIMPLIFIED FRACTION.
ASAP

Answers

Answer:

red : 50%

blue : 18%

Step-by-step explanation:

Red : 14:28x100 = 50%

blue : 5:28x100= 17,85%= 18%

A cylinder has a radius of 5 cm and a height of 10 centimeters What is its volume?​

Answers

Answer:

785.4

Step-by-step explanation:

[tex]\pi[/tex] x 5^2 x 10 = 785.4

If I helped, please mark as brainliest :>

785.4 is the answer to this question

The probability of not choosing a black shirt is...? please explain!

Answers

Answer:

80% or 8/10.

Step-by-step explanation:

Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white,  2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.

The probability of not choosing a black shirt is 8/10. Because there is 10 shirts and 8 are not black.

Question 24

.........................................................

Answers

Answer:

Step-by-step explanation:

Determine the value of
X in the diagram below. Justify your reasoning.

Answers

Answer:

x = 70°

Step-by-step explanation:

Sum of external angles of polygon = 360

x + 150 + 140 = 360

x + 290 = 360

x = 360 - 290

x = 70°

a rectangular field has side lengths that measure 9/10 mile and 1/2 mile what is the area of the field

Answers

Answer:

[tex]\frac{9}{20}miles^2=0.45miles^2[/tex]

Step-by-step explanation:

To find the area of a rectangle:

[tex]a=l*w[/tex]

where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

In this case:

length: [tex]l=\frac{9}{10}miles[/tex]

width: [tex]w=\frac{1}{2} miles[/tex]

thus, we multiply this quantities to find the area:

[tex]a=(\frac{9}{10} miles)(\frac{1}{2}miles )\\\\a=\frac{9*1}{10*2}miles^2\\ \\a=\frac{9}{20}miles^2[/tex]

the area of this rectangle is 9/20 miles squared, or what is the same 0.45 miles squared

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