Mathematics College

Answer fast...Show work on both

Answers

Answer 1

Answer:

A) 14.3606 ft

B) 2.8112 seconds

Step-by-step explanation:

A) At maximum height which is its peak, the velocity will be zero.

Now, we are given height modeled by;

h(t) = 4.98t² - 14t + 20

v(t) = dh/dt = 9.96t - 14.

At max height which is v(t) = 0, we have;

9.96t - 14 = 0

9.96t = 14

t = 14/9.96

t = 1.4056 s

Thus, height at this time is;

h(1.4056) = 4.98(1.4056)² - 14(1.4056) + 20

h(1.4056) = 14.3606 ft

B) time of flight = 2 × time to get to peak = 2 × 1.4056 = 2.8112 seconds.

Related Questions

find the value=
sin 30° + cos 60° + tan 0

Answers

Answer:

1/2+1/2 + 0

= 1

Step-by-step explanation:

sin30° = 1/2

cos 60° = 1/2

tan 0° = 0

Tyler was at the amusement park. He walked at a steady pace from the ticket booth to the bumper
cars.

The point on the graph shows his
arrival at the bumper cars. What do
the coordinates of the point tell us
about the situation?

What does the point (0,0) mean in
this situation?

What is the constant of
proportionality for the relationship
between time and distance? What
does it tell you about Tyler's walk?
Where do you see it in the graph?

Answers

9514 1404 393

Answer:

a) It took 40 seconds to go 50 meters from the ticket booth

b) Tyler started at the ticket booth

c) k = 5/4

d) Tyler walked at the rate of 1.25 meters per second

e) The constant of proportionality is the slope of the line from (0, 0) to (40, 50). It is not shown on the graph.

Step-by-step explanation:

a) The axis labels on the graph tell you that 40 represents the number of seconds of elapsed time, and 50 represents the number of meters from the ticket booth. With the information in the problem statement, the coordinates (40, 50) tell us it took Tyler 40 seconds to walk 50 meters from the ticket booth to the bumper cars.

b) The point (0, 0) tells us that Tyler started counting time when he left the ticket booth.

c) The constant of proportionality is the ratio of the second coordinate to the first. The constant of proportionality is 50/40 = 5/4 = 1.25. (Its units are meters per second.)

d) The constant of proportionality tells us that Tyler's steady pace was 1.25 meters per second.

e) The constant of proportionality is not shown on the graph. It is the slope of a line between the origin and the point (40, 50).

How much longer is 3/8 foot than 1/8 foot?

Answers

Answer:

2/8 foot longer

Step-by-step explanation:

ALGEBRA II // MODULE 1
FUNCTIONS AND INVERSES - 1.2
1.2
READY, SET, GO!
Name
Period
Date
READY
Topic: Solving for a variable
Solve for x.
1.
17 = 5x + 2
2. 2x² – 5 = 3x2 – 12x +
31
3. 11 = 2x + 1

Answers

Answer:

1. x = 3

2.x = 6

3. x = 5

I hope this helps you :D

To solve for variables, we start by isolating the variable term and then solve for the variable. The values of x in the given equations are 3, 6 and 5, respectively.

Equation (1)

[tex]17 = 5x + 2[/tex]

Collect like terms

[tex]5x = 17 -2[/tex]

[tex]5x = 15[/tex]

Divide both sides by 5

[tex]x =3[/tex]

Equation (2)

[tex]2x^2 - 5 = 3x^2 - 12x + 31[/tex]

Collect like terms

[tex]3x^2 - 2x^2 - 12x + 31 +5=0[/tex]

[tex]x^2 - 12x + 36=0[/tex]

Expand

[tex]x^2 - 6x - 6x + 36=0[/tex]

Factorize

[tex]x(x - 6) - 6(x -6)=0[/tex]

Factor out x - 6

[tex](x - 6)(x -6)=0[/tex]

This means that:

[tex]x -6=0[/tex]

Solve for x

[tex]x = 6[/tex]

Equation (3):

[tex]11 = 2x + 1[/tex]

Collect like terms

[tex]2x = 11-1[/tex]

[tex]2x = 10[/tex]

Divide both sides by 2

[tex]x =5[/tex]

Hence, the values of x in the given equations are 3, 6 and 5.

Answers

ANSWER:: X= -2

HOPE IT HELPS!!! :D

Find the Value of x in each figure.

[REFER TO ATTACHED PICTURE]

Answers

Answer:

First pic) x = 10

Second pic) x = 25

Step-by-step explanation:

☆9x - 15 is congruent to 7x + 5, meaning they equal the same. This is because they are vertical to each other

☆The equation would be a 9x - 15 = 7x + 5.

☆Let's solve it!

[tex] \: \: \: \: \: \: \: \: \: 9x - 15 = 7x + 5 \\ \frac{ - 7x \: \: \: \: \: \: \: = - 7x}{2x - 15 = 5} \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 15 = + 15}{ \frac{2x}{2} = \frac{20}{2} } \\ \\ x = 10[/tex]

-------

☆2x + 15 and x are complementary angles, meaning they equal 90ndegrees together. This is because they lie on a right angle.

☆The equation would be: 2x + 15 + x = 90.

☆Let's solve it!

[tex]2x + 15 + x = 90 \\ 3x + 15 = 90 \\ \frac{ \: \: \: \: \: \: \: \: \: - 15 = - 15}{ \frac{3x}{3} = \frac{75}{3} } \\ \\ x = 25[/tex]

A particle moves along the x-axis so that at time t≥0t\ge 0t≥0 its position is given by x(t)=−t3+6t2−9t+42.x(t)=-t^3+6t^2-9t+42.x(t)=−t3+6t2−9t+42. Determine the total distance traveled by the particle from 0≤t≤4.0\le t \le 4.0≤t≤4.

Answers

Answer: 4 units

Step-by-step explanation:

The given position function: [tex]x(t)=-t^3+6t^2-9t+42.[/tex], where t≥0.

To determine: Total distance traveled by the particle from 0≤ t ≤ 4.0.

At t=0,

[tex]x(0)=-(0)^3+6(0)^2-9(0)+42=42\\[/tex]

At, t=4,

[tex]x(4)=-(4)^3+6(4)^2-9(4)+42\\\\=-64+6(16)-36+42=38[/tex]

Total distance traveled by the particle from 0≤ t ≤ 4.0 = |42-38| units

= 4 units

Hence, the distance traveled by the particle from 0≤t≤4.0 is 4 units.

Help me I am suffering from math T-T

Answers

Answer:

7/10

Step-by-step explanation:

3 1/5= 16/5

2 1/2= 5/2

16/5=32/10

5/2=25/10

32/10 - 25/10 = 7/10

Answer:

7/10

Step-by-step explanation:

Step 1 : convert mixed fraction to improper fractions.

Step 2: Find Least common denominators.

Step 3 : Find equivalent fractions and subtract.

[tex]3\frac{1}{5}-2\frac{1}{2}= \frac{(3*5)+1}{5}-\frac{(2*2)+1}{2}\\[/tex]

[tex]= \frac{16}{5}-\frac{5}{2}\\\\=\frac{16*2}{5*2}-\frac{5*5}{2*5}\\\\=\frac{32}{10}-\frac{25}{10}\\\\= \frac{32-25}{10}\\\\= \frac{7}{10}[/tex]

plz plz plz
i am running out the time

Answers

Answer:

mode:7

range:8

Step-by-step explanation:

mode is the most repeated number

range is the greatest -smallest number

what is 3 over 40 written as a decimal ?

Answers

Answer:

0.075

Step-by-step explanation:

3/40 = 0.075

hope it help u

plz follow me

Find the retail price of an item with a wholesale price of $50 at a 30% markup

Answers

Answer:

65% i do believe!

Step-by-step explanation:

Answer:

I would say 65% probably

geometric mean of 384 and 6

Answers

Answer:

48 is the geometric mean of 384 and 6

48 is the meaning of geometric

what is the area of this quadrilateral?

Answers

Answer

theres nothing there

Step-by-step explanation:

You prob forgot to provide one

(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D

Answers

Answer:

1/3

Step-by-step explanation:

Since there are ten people, you have to divide three by ten. It would be 1/3.

6 If the altitudes of a triangle meet at one of the triangle’s vertices, then the triangle is

1) a right triangle

2) an acute triangle

3) an obtuse triangle

4) an equilateral triangle

Answers

Answer:

1) a right triangle

Step-by-step explanation:

One of the caractheristics of a right triangle, the one in which the sum of the two sides squared is the hypotenuse squared(Pytagorean Theorem), is also the the altitudes of a triangle meet at one of the triangle’s vertices. So 1) is the answer to this question.

A car dealership uses the linear model y = -1100x + 25000 to
predict the depreciation of car values as time progresses. If x is how
old the vehicle is in years and y is the current value of the vehicle,
what will the value of the vehicle be 5 years after purchase?
a) $18,400
b) $19,500
d) $23,900
c) $22,700

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:

−

1000

-1000

y-intercept:

(

25000

)

(0,25000)

25000

xy025000250

Step-by-step explanation:

(づ￣ ³￣)づ

i only need 12 13 14

Answers

There isn’t any picture you may have to repost

i cant see the pic .........

Graph the equation. Y=3x+4

Answers

here is what the graph would look like. hope this helps! xoxo

What is the square root of nine

Answers

Answer: the square root of 9 is 3.

23 inches is what fraction of a yard

Answers

Answer:

0.6

Step-by-step explanation:

1 inch = 0.0278

so 23 inches = 0.6 yard

How can deforestation reduce the amount of land that can be farmed?
HELP PLS

Answers

It can cause soil erosion, fewer crops, flooding, climate change, etc. Good luck!:)

Which is the product in the expression 5(z+6)-25+x

Answers

I think this is right x+5z+5

X+5z+5 would be the correct answer for this. Do you need an explanation?

Compute 292,000 divide 100.

Answers

I think The answer is 2920

The division 292,000 divide 100. results to 2920.

What is Division?

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

Given:

292,000 divide 100.

We know division with zero in the denominator is different and easy.

As, 292000 have three and 100 have two zeroes.

So, the two zero of hundred cancels out the two zeroes of 292000.

So, 292000/ 100

= 2920

Hence, the division results to 2920.

Learn more about Division here:

https://brainly.com/question/21416852

#SPJ2

Plz help me with the problem

Answers

Answer:Step-by-step explanation:

Just tell me the problem

Match the numbers on the left with their equivalent forms on the right.

1. 2/25 46%

2. 23/50 70%

3. 14/20 0.08

4. 90% 0.9

Answers

Answer:

1. 2/25 = 0.08 = 80%

2. 23/50 = 0.46 = 46%

3. 14/20 = 0.70 = 70%

4. 90% = 90/100 = 0.9

Step-by-step explanation:

To find the right match, we would divide the fraction on the left and select the value that is the same with the answer gotten.

1. 2/25 = 0.08 = 80%

2. 23/50 = 0.46 = 46%

3. 14/20 = 0.70 = 70%

4. 90% = 90/100 = 0.9

What is equivalent to 12/24

Answers

Answer:

1/2

0.5

2/4

3/6

4/8

50%...

Step-by-step explanation:

Here are the first four terms of a number sequence.
8
14
20
26
Write down the next term of the number sequence and explain how you found your answer

Answers

8,14,20,26

8 to 14 is 6
14 to 20 is 6
20 to 26 is 6

The next term will be 26 + 6 = 32

Because there is a gap of 6 between each number

Tickets for an upcoming concert are sold out but a local charity is having a raffle and the prize is a pair of tickets to the concert. One hundred people enter the raffle, so each individual who entered has 1/100 probability of winning the pair of tickets. You and a friend both entered. What is the probability that one or the other of you wins the tickets

Answers

Answer:

[tex]P(A\ or\ B) = \frac{1}{50}[/tex]

Step-by-step explanation:

Represent the event that you win with A and the even that your friend win with B.

So, we have:

[tex]P(A) = \frac{1}{100}[/tex]

[tex]P(B) = \frac{1}{100}[/tex]

Required

Calculate P(A or B)

Both events are mutually exclusive.

So:

[tex]P(A\ or\ B) = P(A) + P(B)[/tex]

Substitute values for P(A) and P(B)

[tex]P(A\ or\ B) = \frac{1}{100} + \frac{1}{100}[/tex]

Take LCM

[tex]P(A\ or\ B) = \frac{1+1}{100}[/tex]

[tex]P(A\ or\ B) = \frac{2}{100}[/tex]

Simplify:

[tex]P(A\ or\ B) = \frac{1}{50}[/tex]

There are 9 students in the art club. The students shared 150 sheets of construction paper equally for an art project. How many sheets of paper were left over?

Answers

Answer: 6 sheets left over.

Step-by-step explanation:

Given, Total students = 9

Total sheets = 150

If sheets were divided equally, then the number of sheets each student got = Total sheets ÷ Total students

= 150 ÷ 9

[tex]= 16\dfrac{6}{9}[/tex]

So, each student got 16 sheets and 6 sheets left over.

Hence, 6 sheets were left over.

Katherine D’Ann is planning to finance her college education by selling programs at the football games for State University. There is a fixed cost of $400 for printing these programs, and the variable cost is $3. There is also a $1,000 fee that is paid to the university for the right to sell these programs. If Katherine was able to sell programs for $5 each, how many would she have to sell in order to break even?

Answers

Answer:

700 programs

Step-by-step explanation:

Given that :

Fixed cost = $400

Variable cost = $3 per program

Right to sell fee = $1000

Sales price per program = $5

Let number of programs sold = x

In other to break even, expense = revenue

(Fixed cost + variable cost per program + right to sell fee) = sales price per program

(400 + 3x + 1000) = 5x

1400 + 3x = 5x

1400 = 5x - 3x

1400 = 2x

1400 / 2 = x

x = 700

Number of programs to be sold in other to break even = 700

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