Mathematics High School

A pop fly is hit from 4 feet above the ground with an initial velocity of 80 feet per second. The general function related to this situation is
h(t) = -16t^2 + v0t + s0, where v0
represents the initial velocity and
represents the initial height.

Write a function specific to the pop fly.

Answers

Answer 1

The function for the height of the fly is:

h(t) = -16*t² + 80*t + 4

How to write the function for the fly's motion?

We know that the general function that we need to use here is the quadratic function:

h(t) = -16t² + v0*t + s0

Where:

v0 = initial velocity.

s0 = initial height.

We know that the initial height is 4ft above ground, adn the intial velocity of the fly is 80ft per second, then the quadratic function for the height will be:

h(t) = -16*t² + 80*t + 4

Learn more about quadratic functions at:

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Related Questions

Determine which fraction is smallest given 21/64, 5/16, 11/32, 1,2

Answers

Answer :

5/16

Explanation :

5 divided by 16 is less than the other one equations

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket

Answers

Answer:

senior citizen tickets are $10 and child tickets are $8

Answer:

senior is 10 and child is 8

Step-by-step explanation:

The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM:MN:NOLM:MN:NO is equal to 3:1:2.3:1:2. If LO=30,LO=30, find LN.LN.

Answers

Answer:

[tex]|LN| = 24[/tex]

Step-by-step explanation:

Given

[tex]LM:MN:NO = 3:1:2[/tex]

[tex]LO = 30[/tex]

Required

Find LN

[tex]LN = LM + MN[/tex]

From the ratio, LM = 3 and MN = 1

So:

[tex]LN = 3 + 1[/tex]

[tex]LN = 4[/tex]

LN and NO can be represented as:

[tex]LN : NO = 4 : 1[/tex]

The length of LN is then calculated as:

[tex]|LN| = \frac{LN}{LN+NO}*|LO|[/tex]

[tex]|LN| = \frac{4}{4+1}*30[/tex]

[tex]|LN| = \frac{4}{5}*30[/tex]

[tex]|LN| = \frac{4*30}{5}[/tex]

[tex]|LN| = \frac{120}{5}[/tex]

[tex]|LN| = 24[/tex]

Two siblings' ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.

Write a system of 2 equations. Solve the system using substitution. Report your answer in the form of (older, younger).

Answers

Hi!

So we have to make a system of equations here.

Let sibling 1 be O and sibling 2 be Y (for older and younger)

So:

O + Y = 64

O = 64 - Y

(Either one works)

The older sibling is 6 years older.

O = Y + 6

Make everything in terms of Y.

64 - Y = Y + 6

Same to both:

58 = 2y

2y = 58

Divide by 2 on both sides:

y = 29

Since the older sibling is 6 years older:

29 + 6 = 35

Y = 29

O = 35

Let me know if you have any questions.

what is the HCF prime factorization of 30 and 36​

Answers

Answer:

We found the factors and prime factorization of 30 and 36. The biggest common factor number is the GCF number. So the greatest common factor 30 and 36 is 6.

Step-by-step explanation:

In circle O, AC and BE are diameters. The measure of arc DC is 50°. What is the measure of EBC? ​

Answers

Answer:

The angle measure would be 40°

Step-by-step explanation:

Right angles have a measure of 90. Since DC is 50, 90-50 is 40.

The angle measure of  ∠EBC would be 40°.

What is arc?

The arc is a portion of the circumference of a circle

Right angles have a measure of 90°.

∵∠BOD=90°

Since ∠DC is 50°,

∠EBC = ∠BOD-∠DC

∠EBC = 90°-50° is 40°.

The angle measure of  ∠EBC would be 40°.

learn more about arc of circle

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Helpppp?? I need help on this cause I just don’t wanna solve it

Answers

Answer:

3 and 3/5

Step-by-step explanation:

survey of a company's employees explored the relationship between employee status and support of a new workplace safety policy The results are displayed in the following two-way frequency table. Workplace Safety Policy For Against Total Part-Time
Employee 20 60 80 Full-Time Employee 100 20 120 Total 120 BO 200 used on the table above, which of the following statements are true? There are twice as many part-time employees against the workplace safety policy than full-time employees against the workplace safety policy IL There are more employees for the workplace safety policy than against the workplace safety policy There is an equal number of part-time employees and full-time employees.​

Answers

Answer:

ll and lll

Step-by-step explanation:

Find the measure of each angle in the angle pair described.
The measure of one angle is twice the measure of its supplement. What are the measures of the two angles?

Answers

Answer:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree

You did not attach a photo of the angles!

What’s 12 times 12divided by 58 ?

Answers

12 x 12 = 144
144 / 58 = 2.66

Answer:

2.48........is your answer

Step-by-step explanation:

12×12 =144

144÷58

Someone help please!



X+3y=-7 5x+6y=-8​

Answers

Step-by-step explanation:

I have used substitution method here to find the value of x and y.

PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS CORRECT!!!

Answers

Answer: -5 Hope this helps :)

Step-by-step explanation:

Brainlist Plz?

The answer is -5. Give me points if I am correct please.

Gambarlah sebuah lingkaran dengan jari jari 2,5 cm. Lalu gambarlah 3 buah sudut keliling yg menghadap busur yang sama

Answers

Step-by-step explanation:

isidhxibdofeixeosgzifisvsoshzibdihddgd

A wire is attached to the top of a tower and to a point on the ground that is 35 m from the base of the tower. If the wire makes a 65 degree angle with the ground, how long is the wire? Round your answer to the nearest tenth.

Answers

Answer:

83

Step-by-step explanation:

The length of the wire is 83meter.

Given that,

A wire is attached to the top of a tower and to a point on the ground that is 35 m from the base of the tower.

If the wire makes a 65-degree angle with the ground.

We have to determine,

How long is the wire?

According to the question,

The computation of the length of the wire is shown below:

Let, the length of the wire be x,

There is 35m from the base of the tower,

And, the angle with the ground is 65 degree

Therefore,

The length of the wire is given by,

[tex]cos65 = \dfrac{35}{x}\\\\[/tex]

Substitute the value of cos65 in the equation,

[tex]cos65 = \dfrac{35}{x}\\\\x = \dfrac{35}{cos65}\\\\x = \dfrac{35}{0.42}\\\\x = 83.33 \ meter[/tex]

Hence, The length of the wire is 83meter.

To know more about Trigonometry click the link given below.

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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! ASAPPPP

DIVIDING EXPONETS

Answers

Here is the answer
I can’t seem to do the symbols here so the answer is in the picture.

Answer:

[tex]-0.5n^{4}[/tex] or [tex]-\frac{1}{2} n^{4}[/tex]

Step-by-step explanation:

To simplify a dividing exponent, use the "Quotient of Powers" law: [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]. In this situation, the equation would be: [tex]\frac{-9}{18} n^{6} -n^{2}[/tex] or [tex]-0.5n^{4}[/tex] (-0.5 is also [tex]-\frac{1}{2}[/tex]).

Hope it helps and is correct!

Julie has $80,000 to invest. She invests part at 5%, one fourth this amount at 6%, and the balance 7%. Her total annual income from interest is $4,700. Find the amount invested at each rate.

Answers

Answer:

Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.

Step-by-step explanation:

Given that Julie has $ 80,000 to invest, and she invests part at 5%, one fourth this amount at 6%, and the balance 7%, knowing that her total annual income from interest is $ 4,700, to find the amount invested at each rate se you must perform the following calculation:

80,000 / 4 = 20,000

20,000 x 0.06 = 1,200

4,700 - 1,200 = 3,500

60,000 x 0.07 + 0 x 0.05 = 4,200

50,000 x 0.07 + 10,000 x 0.05 = 4,000

40,000 x 0.07 + 20,000 x 0.05 = 3,800

30,000 x 0.07 + 20,000 x 0.05 = 3,600

25,000 x 0.07 + 35,000 x 0.05 = 3,500

Thus, Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.

I dont understand the work my teacher gave me and I Have 45 pages to do ​

Answers

Answer:

just send them here , I will answer the ones I know .

Work out
51.43% of 377.59cm
Give your answer founded to 2 DP

Answers

Answer:

194.194537 centimeters

Step-by-step explanation:

Answer:

194.19cm

Step-by-step explanation:

yeah yeah yeah yeah

PLEASE HELP WILL MARK BRAINLY

Use a ratio box to solve this problem: Five hundred fifty students attended the assembly. If the ratio of boys to girls in the assembly was 6 to 5, how many girls attended the assembly?

Answers

Answer:

250 girls

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

3.5 m = ______cm

PLEASE HELP ME!!!!!!!

Answers

Answer:

Formula *10

Step-by-step explanation:

35

5+5-66564+6367347646-4848

Answers

Answer:

6367276244 6367276244

6367276244 6367276244

Answer:

6367276244

Step-by-step explanation:

Can someone help me with this answer thank you

Answers

The original cost for the shirt was $105 and the original cost for the shoes was $140. There are only 2 steps. Hope this helps

Answer: bro cmon this is simple m8 but i will still help :D

Step-by-step explanation:35x3=105 and 28x5=140 the outfit couldve been 245 dollars in total!

Let
cos
(
2
∘
)
≈
0.9994
What is the the value of
x
, in degrees, for
sin
(
x
)
≈
0.9994
?

Answers

Answer:

can write it again soon as you can do it again

Please I need this now
Whoever can answer this I will make a brainliest​

Answers

Answer:

djchdjcycuchrivivurtiytvivytivi8fr cgdyhcd8w

C, B, D, D, A, C, B, D, C, B

I REALLY NEED HELP!!! THIS IS DUE AT 12!!!
Jeremiah scored 32 points in yesterday’s basketball game. He made a total of 19 baskets.Some of the baskets were field goals (worth two points) and the rest were free throws (worth one point). Write and solve a system of equations to find the number of field goals and the number of free throws that Jeremiah made. Let x represent Field Goals and y represent Free Throws.

Answers

Answer:

x=16

y=3

Step-by-step explanation:

32÷2=16

19-16=3

x=16

y=3

A rental car company offers a rental package for a mid-size car. ​The cost is comprised of a fixed \$ 40$40 administrative fee for the cleaning and maintenance of the car plus a rental cost of \$ 45$45 per day. ​ ​Using xx for the number of days and yy for the total cost in dollars, construct a linear function to model the relationship between the number of days and the total cost of renting a mid-size car. ​

Answers

Answer:

y = 40 + 45x

Step-by-step explanation:

Fixed administrative fee for the cleaning and maintenance of the car = $40

rental cost = $45 per day

x = number of days

y = total cost in dollars

y = 40 + 45x

This shows the relationship between the number of days and the total cost of renting a mid-size car.

The speed limit on a road is 45 mph what is the rate in miles per minute

Answers

The answer is 320 minutes

The rate in miles per minute is 320

help me please!!!!!!!!!!!!!!!!

Answers

mr. russell questions:

1: false.

2: false.

3: true

4: false.

5: true.

the last question: D.

Martha spent $12.35 at the local farmer's market. She bought 3 bundles of collards and paid $4.30 for some fruit. How much did each bundle of collards cost?

Answers

Answer:

12.35-4.30=8.05

8.05÷3= 2.68333333333333....

            ≈2.68

!!!!!!PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!
which of the following is a irratinol number
A. 1 squared
B. 41 squared
C.- 9 squared
D.-64 squared

Answers

B is the correct answerLet me know if I am wrong.
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