a ball is shot out of a homemade air cannon. It flies through the air such that its height, as a function of time, is given by: h= -16t^2 + 64t + 10. where h is the height of the ball in feet and t is the time since it was fired in seconds. Max estimates that it takes 4 seconds for the ball to hit the ground and Cole estimates it takes 5 second. Algebraically determine who is closer and support your answer.

Answers

Answer 1

Answer:

Max

Step-by-step explanation:

the function given that h = -16t³+64t+10

the general function Equation:

h = at²+bt+c

=> t at the highest point is defined by t = -b/2a

= -64/2(-16) = -64/-32 = 2 second

the total times that the ball hits the ground

= 2× 2 seconds = 4 seconds.

so, Max is right

Answer 2

Answer:

Solution given:

Let h=0=when the ball hit the ground,the height=0.

h= -16t^2 + 64t + 10.

0=16t²-64t-10

8t²-32t-5=0

∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]

taking positive

t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]

t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]

So

t=4.15seconds closer to 4seconds.So

Max is closer.


Related Questions

Could someone help me with 2, 9, 10, 11, 12 13, and 14?

Answers

Answer:

13.  (1) x + 8x = 32

14.  $337.5

Step-by-step explanation:

14. $270 x 0.25 = 67.5

270 + 67.5 = 337.5

I am sorry. I only got these-

yea 14 is 337.50 that’s all I got tho

What is the slope of the line shown?

Answers

Answer:

1/2

Step-by-step explanation:

At 6 a.m., the temperature was –8°C. By noon, the temperature had risen 6°C. The temperature at 6 p.m. was –10°C. Which integer represents the temperature change between noon and 6 p.m.?
–24
–12
–8
–4

Answers

Answer:

-8

Step-by-step explanation:

so -8 + 6 = -2. and then for that to drop to -10, it would have to change -8 degrees

Answer:

Step-by-step explanation:

-8 is the answer

Solve for b. -11b+7 =40 what does b equal

Answers

Answer: b=-3

-11b+7=40
-7 -7
-11b=33
divide by -11 on both sides
b=-3

Explanation: In order to solve for x, you need to subtract 7 on both sides and then divide by -11 on both sides. You should get b=-3.

what is the value of x?

Answers

Answer:

6 sqrt(3) = x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 60 = x/12

12 sin 60 =x

12 ( sqrt(3)/2) =x

6 sqrt(3) = x

Answer:

x=6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

take 60 degree as reference angle

using sin rule

sin 60=opposite/hypotenuse

[tex]\sqrt{3[/tex]/2=x/12

do cross multiplication

2*x=12*[tex]\sqrt{3}[/tex]

x=12[tex]\sqrt{3}[/tex] /2

x=6[tex]\sqrt{3}[/tex]

Martha has two pet poodles. Fifi, her standard poodle, weighs 7 times as much as
Buttercup, her toy poodle.
Pick the diagram that models the ratio in the story.
Fifi
Buttercup
Fifi
Buttercup
If Fifi weighs 56 pounds, how much does Buttercup weigh?
pounds

Answers

Answer:

Buttercup weighs 8 pounds

Step-by-step explanation:

Sorry I can't pick a diagram, since we can't see a photo.

if b is Buttercup and f is Fifi, substitute in Fifi's weight, and solve for b

b x 7 = f

7b = 56

divide both sides by 7

b = 8

State the mathematical properties of all the steps in the equation below.

(2x + 3) − 7 = 8 + x Problem Statement.
(2x + 3) + (−7) = 8 + x _____________
((2x + 3) + (−7)) + 7 = (8 + x) + 7_____________
(2x + 3) + (−7 + 7) = (8 + x) +7 _____________
(2x + 3) + 0 = (8 + x) + 7 _____________
2x + 3 = (8 + x) + 7 _____________
2x + 3 = 7 + (8 + x) _____________
2x + 3 = (7 + 8) + x _____________
2x + 3 = 15 + x _____________
(2x + 3) + (−3) = (15 + x) + (−3) _____________
2x + (3 + (−3)) = (15 + x) + (−3) _____________
2x + 0 = (15 + x) + (−3) _____________
2x = (15 + x) + (−3) _____________
2x = (−3) + (15 + x) _____________
2x = (−3 + 15) + x _____________
2x = 12 + x _____________
2x + (−x) = 12 + x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−1) · x _____________
2x + (−x) = 12 + (1 + (−1))x _____________
2x + (−x) = 12 + 0 · x _____________
2x + (−x) = 12 + 0 _____________
2x + (−x) = 12 _____________
2x + (−1) · x = 12 _____________
(2 + (−1)) · x = 12 _____________
1 · x = 12 _____________
x = 12 Solution

Answers

Answer:

173*3*j3

Step-by-step explanation:

naksbvajahagcgaja

Answer:

HIHHIHIHIHIHIHIHIH

Step-by-step explanation:

IHIHIHIHIHIHIHIHIH

Given the graph of the line, choose two points and find the slope. Construct the equations for each of the
points you chose in point slope form. Show your work and explain each step.
*The graph is in the picture *
PLEASE HELP I WILL GIVE BRAINLIST

Answers

Step-by-step explanation:

First, given that we must use point slope form, we can define that as

y - y₁ = m (x-x₁), with m being the slope .

To find the slope, we can use the equation

[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. Two points on the graph are (0, 1) and (1, 3). For these points, when calculating the slope, 0 and 1 represent x₁ and y₁ respectively, while 1 and 3 represent x₂ and y₂ respectively Using this formula, we can plug our points in to get

[tex]\frac{3-1}{1-0} = 2/1 = 2[/tex]

as our slope. Therefore, our equation is

y - y₁ = 2 (x-x₁).

For our first point, (0,1), we can simply plug 0 in for x₁ and 1 in for y₁ to get

y - 1 = 2(x-0) as one equation

Next, for (1,3) we can plug 1 for x₁ and 3 for y₁ to get

y - 3 = 2 (x-1) as our other equation

Find the equation of the line with slope zero passing through A(-4, 7).

Answers

Answer:

y =7

Step-by-step explanation:

A line with zero slope is

y = constant

The y value for the point is 7

y =7

Answer:

0x+7=y

Step-by-step explanation:

0(-4)+b=7

0+b=7

b=7

What is the solution to the inequality below x2 > 64

Answers

answer:-8<x<8 step by step: (x^2) <64  => (x^2) -64 < 64-64 => (x^2) - 64 < 0 64= 8^2    so    (x^2) - (8^2) < 0 To solve the inequality we first find the roots (values of x that make (x^2) - (8^2) = 0 ) Note that if we can express (x^2) - (y^2) as (x-y)* (x+y)  You can work backwards and verify this is true. so let's set (x^2) - (8^2)  equal to zero to find the roots: (x^2) - (8^2) = 0   => (x-8)*(x+8) = 0       if x-8 = 0 => x=8      and if x+8 = 0 => x=-8 So x= +/-8 are the roots of x^2) - (8^2)Now you need to pick any x values less than -8 (the smaller root) , one x value between -8 and +8 (the two roots), and one x value greater than 8 (the greater root) and see if the sign is positive or negative. 1) Let's pick -10 (which is smaller than -8). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0  so it is positive2) Let's pick 0 (which is greater than -8, larger than 8). If x=0, then (x^2) - (8^2) = 0-64 = -64 <0  so it is negative3) Let's pick +10 (which is greater than 10). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0  so it is positive Since we are interested in (x^2) - 64 < 0, then x should be between -8 and positive 8. So  -8<x<8

Answer:

Step-by-step explanation:

x2

11. It refers to the information that supports the claim.
A. reference
B. evidence
C. cite
D. issue​

Answers

Answer:

B. Evidence

Step-by-step explanation:

Reference: like when your drawing something and you want to make sure that you draw the hair the same way some other person did.

Cite: That’s when you give the credits to someone or something 90% sure

Hope this helps :)

b) Write 25 x 10^6 in standard form.​

Answers

Answer:

25000000

hope this helps

have a good day :)

Step-by-step explanation:

The standardised form is 25,000,000. I hope this helps!

Application: Dana is planning to ride her bicycle around the circular race track and wants to know the distance. If the diameter of the track is 2 mile, how far is the distance around the race track?

Answers

Answer:

6.2831853071795864miles

~6.283

Step-by-step explanation:

Circumference of a circle=2πr

=2π×½×2mile

2×π×1mile

=6.2831853071795864miles

~6.283

Or, πd

=π×2miles

=6.2831853071795864miles

~6.283

a) Complete the table of values for y = 2x2 + x

Answers

You plug each of the values in for x and come out with
-2 = 6
0 = 0
2 = 10

can someone help me with this Q :)

Answers

Answer:

its the digram: )

Step-by-step explanation:

Answer:

*888888888877727723772289292

Step-by-step explanation:

88ejei49 + 710 is 49 + 710 is 10390..49 + 710 is 10390.

have no idea how to do this

Answers

Answer:

ans: option C is correct answer

Step-by-step explanation:

follow steps as shown in picture above,

8.
Which quadratic function is shown in the graph below?

Answers

The answer is (C) y = 1/2x^2

if logx √2 = 1/6
, then x =?

Answers

Step-by-step explanation:

logx√2=1/6

<=> logx(2^1/2)=1/6

<=>1/2.logx(2)=1/6

<=>logx(2)=1/3

<=>2=x^1/3

<=>x=

Sorry I forgot the formula in the last step

Answer:

v= 331m/s +(0.6 m/s /°C)×T

Given,

T=40°C

Substituting the value of T we get,

v=331m/s +(0.6 m/s /°C)×40°C

= 331m/s +(0.6 m/s)×40

= 331m/s+(24.0)

=355m/s

A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is 6 StartRoot 2 EndRoot feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder? Check all that apply.

Answers

Answer:

a

b

d

e

Step-by-step explanation:

he triangle is isosceles.

The leg-to-hypotenuse ratio is 1:StartRoot 2 EndRoot.

The leg-to-hypotenuse ratio is 1:StartFraction StartRoot 2 EndRoot Over 2 EndRoot. The nonright angles are congruent. The ladder represents the longest length in the triangle.

Answer:

a,b,d,e

Step-by-step explanation:

answer

If K(4,-5) is rotated counter clockwise 270°, what will be the coordinates of its image?
K'(5,-4)
K'(5, 4)
K'(-4,5)
K'(-5,-4)

Answers

Answer:

(-5, -4)

Step-by-step explanation:

The formula for a point (x, y) rotating 270 degrees counterclockwise is that it turns into (y, -x). Thus, for (4, -5), its image would be (-5, -4)

help with the question below please!!

Answers

Answer:

a.= 24 b.=-21 c. is x=-7 or 3

Step-by-step explanation:

Step-by-step explanation:

a) f(5)= 5² + 4 x 5 -21

=24

b) f(0)= 0² + 4 x 0 -21

= -21

c) f(x)= 0

=> x² + 4x -21 =0

=> x = 3, x= -7

A pencil company packs pencils in boxes of 8. How many boxes can they pack with 32,000 pencils? *


A 40,000
B 4,000
C 400
D 40

Answers

Answer:

B: 4,000

Step-by-step explanation:

32000/8=4000

Answer:

4000

Step-by-step explanation:

32000/8............

Write the equation of a line perpendicular to y = -5x + 1 that goes through (10. 4).
Show all work.

Answers

Answer:

y = 1/5x + 2

Step-by-step explanation:

y = 1/5x + b

4 = 1/5(10) + b

4 = 2 + b

2 = b

show that 21^n, n €N can never ends with 0,2,4,6 and 8​

Answers

Answer:

Step-by-step explanation:

[tex]21 ^n = (3 \times 7)^n[/tex]

21 has no 2 in it's prime factorization. So it can never end in 0, 2 , 4 , 6 , 8.

 OR

Odd number raise to any number is always odd, Which does not include 2, 4, 6 , 8.

So [tex]21^n[/tex] does not end with 0, 2, 4 , 6 , 8.

Melanie recorded a number with two sevens. The value of the first 7 is 7,000. The value of the second 7 is 700. Which could be Melanie's number?

Answers

Answer:

7700.

im not sure if the 00 are to be other numbers but 7700 should be your number

A salesman is paid $450 a week, plus a commission of 35 cents for every item that he sells. Write a linear function where the paycheck, P, of the salesman is a function of the number, N, of items he sells. If the salesman only has 1400 items available to sell each week, find the domain and range of the function.

Answers

Answer:

Step-by-step explanation:

1400×0.35

490+450

940

Answer:

The domain is thus [0, 1400].

The range is thus [$450, $940]

Step-by-step explanation:

A suitable function is P(N) = ($450) + ($0.35 / item)*N, where $450 is the base pay per week and N is the number of items sold.

In this case the salesman has only 1400 items available to sell each week.  Therefore N begins at 0 (no items to sell) and ends at 1400 (the max number of items available to sell).  The domain is thus [0, 1400].

The smallest amount the salesman could receive would be when he has not sold any items:  $450.  

The max amount is then $450 + ($0.35/item)(1400 items), or

                                         $450 + $490, or

                                          $940

The range is thus [$450, $940]


Use SOH CAH TOA to find the missing side.

Answers

sin(43) × hypotenuse of 19 gives you oppo

= 13

Find the value of x.​

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

The two given triangles, triangle (BDE) and triangle (BAC) share the angle (<B) in common. Moreover, their bases, line (DE), and line (AC) are parallel, this means that through the corresponding angles postulate, angles (<BDE) and (<BAC) are congrunet. Moreover, angles (<BED) and (<BCA) are also congruent. Thus, triangles (BDE) and (BAC) are similar through angle-angle similarity.

The ratio between the corresponding sides of similar triangles is the same. Therefore, one can form the following equation,

[tex]\frac{BD}{BA}=\frac{BE}{BC}[/tex].

Substitute,

[tex]\frac{BD}{BD+DA}=\frac{BE}{BE+EC}\\\\\frac{x+2}{x+x+2}=\frac{3}{3+2}[/tex]

Simplify,

[tex]\frac{x+2}{2x+2}=\frac{3}{5}[/tex]

Cross products,

[tex]5(x+2)=3(2x+2)\\[/tex]

Simplify, distribute, multiply every term inside the parenthesis by the term outside of it,

[tex]5x+10=6x+6[/tex]

Inverse operations,

[tex]5x+10=6x+6\\\\10=x+6\\\\4=x[/tex]

A student recorded the following distance measurements 4.3 miles ,1.7 miles and 5.6 miles what are the total measurements recorded

Answers

Answer:

11.6 miles

Step-by-step explanation:

4.3 miles + 1.7 miles + 5.6 miles = (4.3+1.7+5.6)miles

= 11.6 miles

Area of the grass area only:

Area of the track only:

Answers

Answer:

Step-by-step explanation:

area including track=area of 2 semi circles+area of rectangle

=2×1/2×π×46²+86×65

=2116 π+5590

area of grass=2×1/2×π×40²+80×65=1600π+5200

≈10226.55 m²

area of track=2116π+5590-1600π-5200

=516π+390

≈2011.06 m²

Other Questions
What is the interquartile range (IQR) of the data? Activity 3: Findings3.1. Discuss THREE contributing factors that led to the human rights violation on gender based violence For the following equation, determine the values of the missing entries. Reduce all fractions to lowest terms. x2 + y2 = 49Note: Each column in the table represents an ordered pair. If multiple solutions exist, you only need to identify one.Table:X 0 [ ] 16 9 [ ]Y [ ] 2 [ ] [ ] -5 Your classmates from the University of Chicago are planning to go to Miami for spring break, and you are undecided about whether you should go with them. The round-trip airfare is $600, but you have a frequent-flyer coupon worth $500 that you could use to pay part of the airfare. All other costs for the vacation are exactly $900. The most you would be willing to pay for the trip is $1,400. Your only alternative use for your frequent-flyer coupon is for your trip to Atlanta two weeks after the break to attend your sister's graduation, which your parents are forcing you to attend. The Chicago-Atlanta round-trip airfare is $450. Should you use the frequent flyer coupon to go to Miami? A certain element has two naturally occurring isotopes. The atomic mass of isotope 1 (35.4723 % natural abundance) is 184.9529 amu. Determine the atomic mass of isotope 2. The average atomic mass of the element is 186.2071 amu. Do not include units; report answer to 4 decimal places. Bill is ten years older than his sister. If Bill was twenty-five years of age in 1983, in what year could he have been born? What does "Time (s)" represent in the graph?Time vs. Position of Battery Operated Carthe y-axisO the dependent variableO an inverse relationshipo the independent variablesition (m) show the following equations on a number line. a) -16 < 4x _ x2 A researcher speculates that an enzyme has the following energy profile and that it is a reasonable profile given what we know about enzyme behavior. Enzyme bound to Substrate: -7.00 kcal/mol Enzyme bound to Product:-10.00 kcal/mol Enzyme in transition state:-5.00 kcal/mol a) True b) False A library buys 50 books. Some cost K5 andothers cost K7.If the library spent K290 inall, how many books costing K5 did it buy? When the sun shines at a 60 angle to the ground, Talisa's shadow is 36 inches long. write a continuation of the story of bahauddin shah using details from the passage. describe what you think might happen after bahauddin shah climbs out Which best describes how Cleistheness reforms in Athens set important precedents for later governments? If a law enforcement officer suspects your vehicle is not properly maintainedor does not comply with Florida motor vehicle equipment standards, theofficer Blindness, both literal and figurative, is a recurring theme in Sophocless Oedipus trilogy. How does Sophocles depict this theme in Antigone?A. He juxtaposes Creon, who is figuratively blind to the gods laws, with Teiresias, who is literally blind but can see and communicate the will of the gods.B. He contrasts Ismene with Antigone, by portraying Ismene as figuratively blind to her familys woes, unlike Antigone.C. He shows that Antigone is figuratively blind to the just laws of her uncle, King Creon.D. He shows that Haemon is figuratively blinded by his anger toward his father when he attempts to kill his father. HELP ME PLEASE QUICKLY identify ONE monster who you think is the ultimate monster of todays society and explain why.1. How do you define a monster? (This is your claim.) 2. What is ONE characteristic of this monster? (This is your evidence #1.) a. What is a counterargument against this characteristic?3. What is a SECOND characteristic of this monster? (This is your evidence #2.) a. What is a counterargument against this characteristic?Introduction:Context on Monsters throughout History(Hook)Characteristics of a Monster TodayYour Definition of a Monster (Claim) Body paragraphs#1Topic Sentence with Characteristic #1(Topic Sentence)Argument WHY this is Monstrous (Evidence #1) CounterargumentRebuttal Affirming this is MonstrousBody paragraphs #2Topic Sentence with Characteristic #2(Topic Sentence) Argument WHY this is Monstrous (Evidence #2)CounterargumentRebuttal Affirming this is MonstrousConclusionConnection to World (What are the fears of society that this monster is reflecting? Why did the federal government issue items such as this during World War II?A. to encourage volunteerism on the home frontB. to ensure military forces had enough fuel and other suppliesC. to recruit people to serve in the militaryD. to spur factory and farm production for the war effort The diagram below represents changes in the types of plants growing in the same area during four different time periods. Different types of plantshave been labeled for each time period.ooHardwood treesSoftwood treesSmall plants andshrubsGrasseskanmummimaturdayTimeThis change in plant types over time is an example of pls paki answer nito kailangan langNONSENSE(REPORT) in what 3 ways did the invention of the gutenberg press affect eurpoe