The function f(t)=^ - 16t^ 2 +84t models the height of a ballt seconds after it was kicked straight up into the air. How many seconds does it take the ball to hit the ground ?

Answers

Answer 1

Answer:

5.25 seconds

Step-by-step explanation:

When the ball hits the ground the height is zero

Equate f(t) to zero and solve for t , that is

- 16t² + 84t = 0 ← factor out - 4t from each term

- 4t(4t - 21) = 0

Equate each factor to zero and solve for t

- 4t = 0 ⇒ t = 0

4t - 21 = 0 ⇒ 4t = 21 ⇒ t = [tex]\frac{21}{4}[/tex] = 5.25

t = 0 is the time when the ball is kicked

t = 5.25 is the time taken for the ball to hit the ground


Related Questions

(d) Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches. (a) without using your calculator, approximate the decimal equivalent of wach numberto the nearest tenth. (b) Order the ribbon sizes from least to greatest Answers ​

Answers

☆Answer : [tex] \sqrt{3} . \: \: 2 \sqrt{3}. \: \: \sqrt{5} [/tex][tex] \sqrt{3} \approx1.73[/tex][tex]2 \sqrt{3} \approx3.46[/tex][tex] \sqrt{5} \approx2.23[/tex]

Soo :

1.73, 2.23, 3.46

Awnsehthrhdhdhehdhsbgsgshdhdhdgsh

Answers

Answer:

B

Step-by-step explanation:

Let's eliminate the incorrect answers. C and D are incorrect, since anything to the power of 0 is equal to 1. A is incorrect, because -1 * -1 = 1 since the negatives cancel out. B is correct, because -1*-1*-1*-1*-1 has an odd number of negatives, and thus you are left with -1 instead of 1. Therefore, the answer is B.

Please help!!

use the formula y= mx + b for both​

Answers

Answer:

see below :)

Step-by-step explanation:

First graph: y = 2x + 0

- slope: 2/1 = 2

- y-in: (0, 0)

Second graph: y = 2/3x + 0

- slope: 2/3 = 2/3

- y-in: (0, 0)

HELP I HAVE 10 MINUTES

George's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 5834 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 381 miles. How many miles had they traveled before their first stop for gas?

Answers

Answer:

68 1/4

Step-by-step explanation:

Answer:   YOU ARE SO CORRECT UP THERE

Step-by-step explanation:    I TOOK THE QUIZ AND GOT 100%

Select the correct answer.


Which pairs of polygons are congruent?

A.
pairs 1, 2, and 3

B.
pairs 1, 2, 3, and 4

C.
pairs 2 and 3

D.
pairs 1 and 3

Answers

The answer is D (pairs 1 and 3) because they both can make a shape.

Answer:

pairs 1 and 3

Step-by-step explanation:

Alejandra states that ax+ b= a(x+ c), given a, b, and c are not equal to 0. What must be the value of c for Alejandra's statement to be true? (Hint: Solve for c.)

Answers

Answer: c = b/a

Step-by-step explanation:

ax+ b= a(x+ c)

ax+ b= ax+ ac

b= ac

c = b/a

Please help me with this

Answers

Y=-1/2x+8
I got the -1/2 slope Bc you go over 1 and down 2. And the 8 is the yintercept where the line crosses the y-axis

Plz HELP Directions: Write your own recipe for trail mix with a catchy name that will make
people want to eat it. You can also create a slogan, logo, or package design for the
mix. Your recipe must meet the following contest guidelines:
1. It must have at least five different ingredients.
2. The amount of each ingredient should be represented by a different mixed
number.
3. The recipe must make exactly 10 cups of trail mix.
After you write your recipe, complete the following for your contest entry:
• Prove that your recipe makes exactly 10 cups.
• Explain the most efficient method for measuring each ingredient using only
the following two measuring cups:
1
3
cup and
1
4
cup. You can use one or
both of the measuring cups. Note: Depending on the fractions that you chose
for your ingredient amounts, it may not be possible to create each exact
amount using only
1
3
and
1
4
measuring cups. If you need to, you can round
your ingredient amounts using benchmarks and then explain how you would
estimate that amount. For example, if you need
4
7
cup of an ingredient,
4
7
cup is slightly more than
1
2
cup. You could fill up your
1
4
measuring cup twice
to make
1
2
cup of that ingredient, and then add just a tiny bit more to
estimate
4
7
cup.
• Use equations or other models to show how you would measure each
ingredient amount with only the two measuring cup sizes.
Your recipe and explanations will be submitted as your portfolio assessment.

Answers

Answer:

all the answer is the answer is yes then please diamond dedo plz

Step-by-step explanation:

it will increase by 75 think the answer is the first time

Arianna needs 3/4 cup of flour to bake a batch of cupcakes. she has 1/2 cup of flour. what fraction of a batch can Arianna bake?

Answers

Answer:

She can bake 3/8 of a batch of cupcakes.

Step-by-step explanation:

If she only has 1/2 of the flour and you are trying to find the fraction of a batch she can make, you are essentially trying to figure out what is 1/2 of 3/4, which is basically just multiplying 1/2 by 3/4. This would get you the answer of 3/8. Hope this helps:)

20 divided by 5 x 4
btbttb

Answers

Answer:

16

Step-by-step explanation:

Answer:

20÷5 x 4= 16

Step-by-step explanation:

Step 1: 20÷5= 4

Step 2: 4 x 4= 16

Hope this helped,

have a nice day!

please help me with this​

Answers

Answer: x = 90°, therefore 3x = 270°

Step-by-step explanation:

The null space on the left of the shape is a 45-45-90 triangle. Since the internal angle is therefore 90°, 3x = 360°-9°, solving for x this yields x= 90°.

Natalia is writing a recursive formula to represent the sequence.

8, 12, 18, 27, ...

What value should she use as the common ratio in the formula?

Answers

Answer:

There is no common ratio.

Step-by-step explanation:

I divided each number in the sequence from the number preceding it and the answer was not one of the numbers in the series. this would mean that there is no common ratio. (please correct me if i am wrong)

Find the new price after the markdown given. Round to the nearest cent if necessary.

$100 marked down 65%

Answers

The answer would be 35$ ❤️ Hope it helps

Answer:

$35

Step-by-step explanation:

Take the amount of money you've discounted the merchandise at and divide it by the sales price.

-5 ( x - 1 ) - x + 1 = -18

Answers

Answer:

x=4

Step-by-step explanation:

-5x+5-x+1=-18

combine like terms

-6x+6=-18

subtract 6 from both sides

-6x=-24

divide both sides by -6

x=4

Answer:

x=-4

Step-by-step explanation:

-5 ( x - 1 ) - x + 1 = -18

-5x+5-x+1=-18

6x+6=-18 <- -6 from both sides

6x=-24 <- divide 6 by both sides

x=-4

Guys pls help me!!!!!

For each parallelogram below, find the values of the missing sides or
angles.

Answers

Answer:

m ∠DCA

m ∠CAD = 56

m ∠CBA = 83°    

Step-by-step explanation:

A parallelogram is a polygon with two pairs of parallel lines

m ∠CDA = m ∠CBA = 83°       Opposite angles in a parallelogram are =    

m ∠CAD = m ∠ACB  = 56°     CB ║ DA and alternating interior angle are =

m ∠DCA = 180°                           The sum of the angles in a triangle = 180°

m ∠ADC + m ∠CAD + m ∠DCA = 180            Parts of the triangle

       83° +  56° + m ∠DCA = 180                     Substitution

            139° + m ∠DCA = 180°

                  m ∠DCA = 180° - 139°

                   m ∠DCA = 41°

Acme Auto Parts gives all of their sales people an hourly wages and 3% commission on all the sales they ring up. Daniel rang up $3200.00 last week. How much did Daniel earn in commissions for the week?

Answers

Answer:

he earned 96$ in commissions

Step-by-step explanation:

Answer the following:
1. A 2.5k race is called a 2.5k because the race is 2.5k km long. How many meters long is a 2.5k race?

2.A football field is 100 yards from end to end. What is the length of a football field in feet?

3. A rock has a mass of 1000 pounds What is the mass of the rock in tons?

4. Chris measured a string for his art project. It is 200 millimeters long. How many cm is the string?

5. Cheryl is moving to a new house. How many meters is the old house from the new house?

Answers

Answer:

Step-by-step explanation:

1. 2500 metres

2. 360 feet

3.  1.78 – 2.02 tonnes

4. 20

5. cant answer

brainiest please im so close to next level, just need one more

i need help i dont really understand what they mean by y=-x+7 please help me ty and no links!!

Answers

Answer:

Step-by-step explanation:

y = -x + 7 is a linear equation in slope-intercept form, y = mx + b.

The slope (m) measures the unit changes in the output (y ) for each one-unit change in the input (x) value.

b =  the y-ccordinate of the y-intercept, (0, b). The y-coordinate, b, is what you will use for the slope-intercept form. The y-intercept is the point on the line where it crosses the y-axis.

Graphing y = - x + 7:

To graph y = -x + 7, use the slope, m = -1 (down 1 unit, run 1 unit), and the y-intercept,  (0,7) to plot points on the graph to connect a line with.

Vertical Line (Definition):

The equation, x = 3 represents a vertical line with an undefined slope. A vertical line has undefined slope because all points the line have the same x-coordinate.  Since any two points on a vertical line have the same x-coordinate, slope cannot be computed as using the slope formula, m = (y₂ - y₁)/(x₂ - x₁), as it will involve a division by zero (which consitutes an undefined operation).        

Graphing x = 3:

To graph x = 3, choose any point on the graph that has an x-coordinate of 3, then draw a vertical line from there.

The given equation has a solution that occurs at point (3, 4). Attached is an edited screenshot of the image that you uploaded.

Helena is thinking of a number. That number raised to the third power is 100 greater than when it is raised to the second number. What is the number Helena thinking about

Answers

Answer:

Step-by-step explanation:

Let the number = x

x^3 = x^2 + 100

x^3 - x^2  +0x - 100 =0

a = 1

b = - 1

c = 0

d = -100

My calculator solves these kinds of questions. The answer is

x1 = 5                  Which we should be able to get without a special calculator

x2=-2+4i

x3 = - 2 - 4i

I doubt you need anything more than 5. If she is thinking of the complex numbers, she should be in a special class for people who think about such things  

Here is a graph of the problem.

4q-5=7 q equals what?
5

Answers

Answer:

q= 3

Step-by-step explanation:

4q-5=7

4q=7+5

4q=12

4q/4= 12/4

q=3


Just send in the answer please I don’t need an explanation

Answers

Answer:

Step-by-step explanation:

Now as you can see based on the equation needed, it requires you to multiply the weight of an average banana times your mother. Doing this should give you the correct answer.

Rotate this figure 270 degrees clockwise

Answers

Answer:

it's the third answer

Step-by-step explanation:

360 degrees is a full circle so you subtract the 90 degrees from it and get 270. The only turn it would need to be a full 360 is 90 degrees. hope this helps

Answer:

its the one pointing to the right

Step-by-step explanation:

if its pointing down then goes 180 clockwise, then it will be pointing straight up, then 270-180 is 90 so it goes 90 degrees clockwise.

When x² is divided by (x – 3), the quotient is 12 and the remainder is 1. Find the
possible values of x

Answers

Answer:

Posible answers can be x=7 or x=5

Step-by-step explanation:

What equation does the model show 20 blocks 17 shaded

Answers

Answer:

20-17=3

Step-by-step explanation:

Meaning 3 blocks are unshaded and 17 out of the 20 are shaded or as a fraction 17/20

Please help me solve this problem

Answers

Answer:

D) Dilation

Step-by-step explanation:

D! Hope this helps
Sorry if it’s wrong

A square mirror has a frame of length 64cm, then the length of each side is_________.

Answers

Answer:

the length of each side will be 16 cm.

Step-by-step explanation:

you can find the answer by dividing 64 by 4. the four is the sides of the square.

Answer: 16cm

Explanation:

If the mirror is a square and squares' sides are all the same length and they have four sides, you just divide 64 by 4 and get the answer of 16.

The island of Martinique has received $32000 for hurricane relief efforts. The island’s goal is to fundraise more than y dollars for aide by the end of the month. They receive donations of $4500 each day. Write an inequality that represents this situation, where x is the number of days.

Answers

Answer:

y=4500x+32000

Step-by-step explanation:

If they are increasing at a constant rate of 4500 then that is the coefficient of x, and if they received a 32000$ donation then that is the y-intercept so you add that to 4500x to get this equation.

Hope this answer helped!

d= 4/5a + h solve for a

Answers

Answer:

5/4d - 5/4h = a or a = 5d-5h/4

Step-by-step explanation:

d = 4/5a + h

~Subtract h to both sides

d - h = 4/5a

~Multiply 5/4 to both sides

5/4d - 5/4h = a or a = 5d-5h/4

Best of Luck!

18x2 - 200
Whats the answer ​

Answers

-164
18x2= 36
36-200= -164
Hope that helps

Determine whether or not the relation is a function. Please help asap

Answers

Answer:

A function can have many x values for a given y value and still be a function but it cannot have many y values for a given x value. You can easily test this by graphing the equation and doing the vertical line test by seeing if a vertical line will intersect the graph only once at all x values, if it passes it is a function. In short what you have here is a function

Step-by-step explanation:

Other Questions
Ayer en el restaurante Find the nth term of this quadratic sequence3, 8, 15, 24, 35 Is the sky blue???????No No the sky is not blue.A clear cloudless day-time sky is blue because molecules in the air scatter blue light from the sun more than they scatter red light. When we look towards the sun at sunset, we see red and orange colours because the blue light has been scattered out and away from the line of sight.To understand why the sky is blue you need to remember how color works. Color is largely caused by how well an object absorbs the light spectrum. When you see a blue sky you only see blue because all the other colors were absorbed in the air. Any object with color works that way. For example a red ball is read because all the colors of light are absorbed by the ball except for red. This reflected light is what gives the object color.This is what happens with the sky. The atmosphere is denser than we imagine and the different gases give the atmosphere unique properties in how it absorbs, diffuses, and reflects light. When sunlight passes through our atmosphere a portion of it is scattered and absorbed. The remainder either reaches the surface or is reflected back. The portion that makes it to us observers is 75 percent.This process is called diffused sky radiation. So to review, we color because objects due to texture of dyes and surfaces absorb all light wavelengths and reflect back one or more. The reason we see the sky as blue is because the molecules in the air scatter the light absorbing most wavelengths of light except for blue.In addition to this the sky is gray and overcast because of the water droplets in the atmosphere in the forms of clouds and humidity. water refracts light equally unlike air molecules in the atmosphere. This means we get the entirety of white light only it is dimmer just like when you shine a light through a white sheet.The fact we see a blue sky is good thing because its shows that are atmosphere is at work shielding us from the full energy of the suns rays. While the sun is the largest source of energy to our planet, a lot of its high energy radiation that is deadly for living things. Our atmosphere plays it part by shielding us from that. So when you see a blue sky with your kid you can tell them it means the sky is acting like a huge shade blocking out the bad parts of the sun. Any part of a machine whichwhile in operation can cause a hazard.O a) Stopsb) Startsc) Movesd) Adjusts like kinds of magnetic poles repel while unlike kinds of magnetic poles Why did the Persians go to war against Athens? An initial deposit of $5000 is put into an account that earns 4% interest, compounded annually. Each year, an additional deposit of $5000 is added to the account. What is the value of the account after the tenth deposit if no withdrawals or additional deposits are made cual es la app para votar en la casa de los famosos a boy slides down a hill on a sled accelerating 0.90 m/s^2. if he started from rest, what distance would he slide on the snow in 5s? Which of the following is an example of verbal bullying?ManipulationPushingName callingGroping12. What is the process of sending and receiving information between two people?NegotiationConflict ResolutionValidationCommunication13. Which of the following statements is FALSE?You should not assume that other people can read your mind or know your needs, even if you portray what you want with your body language.Active listening means you never ask questions.Speaking skills are the ability to express what you mean clearly and effectively.How you say something can be just as important as what you say.14. Doug rephrases the instructions his dad gives him to make sure he understands what was intended. This is an example of which characteristic of active listening?EncouragingEmpathizingReflective listeningClarifying15. Listening skills are the ability to do what?Interpret what is being saidHear what is being saidRetain what is being saidAll of the above16. When you are in a conflict with another person, what is important to remember?That you are right and they are wrongThat you also helped create the conflictThat it is your right to control your friendsAll the negative things the other person has said or done to you17. Which of the following is a universal need for people?Knowing that your feelings matterBeing richHaving a lot of friendsAll of the above18. What is aggressive behavior towards someone based on their gender, sexual identity, race, religion, or culture?Relational bullyingPrejudicial bullyingCyber bullyingPhysical bullying19. This can sometimes have a positive effect.ConflictPeer PressureAbuseArguing20. What is repeated, unwanted, aggressive behavior that involves a real or perceived power imbalance?PreventionExclusionBullyingTolerance what did Great Britain gain from the stability of Iran and the Persian gulf Based on this, which component would Mr. O be most concerned with when shopping for a new computer? RAM Internal memory Keyboard Write a program that reads integers userNum and divNum as input, and output the quotient (userNum divided by divNum). Use a try block to perform the statements. Use a catch block to catch any ArithmeticException and output an exception message with the getMessage() method. Use another catch block to catch any InputMismatchException and output an exception message with the toString() method. Note: ArithmeticException is thrown when a division by zero happens. InputMismatchException is thrown when a user enters a value of different data type than what is defined in the program. Do not include code to throw any exception in the program. Write an article describing the pleasure of paradise (3x3 - x2 - 7x + 6) -(x + 2) What is a listing of letters of the Greek alphabet? what did the various state constitutions have in common? how were they different? CELL STRUCTURE: Complete The following chart . What is the movement of molecules from high to low concentration?A. ExocytosisB. DiffusionC.Active TransportD.Engulfing __________ is an example of a nation that uses a democratic republic type of government.A.North KoreaB.IranC.Saudi ArabiaD.The United StatesPlease select the best answer from the choices providedABCD