Answer the question and help a brother out

The ball reached its maximum height at a time of 1 second.

In this problem we have the case of a ball that experiments a free fall, that is, a case of an uniform accelerated motion due to gravity. The position of the ball as a function of time is represented by a quadratic equation:

y' = y + v · t + 0.5 · g · t²

Where:

And to determine the time related to the highest point, we need to rearrange the expression into its standard form:

y' - k = C · (t - h)²

Where:

First, write the quadratic equation:

y' = y + v · t + 0.5 · g · t²

y' = 10 + 16 · t - 8 · t²

Second, complete the square until the standard form is found:

y' - 10 = 16 · t - 8 · t²

y' - 10 = - 8 · (t² - 2 · t)

y' - 18 = - 8 · (t² - 2 · t + 1)

y' - 18 = - 8 · (t - 1)²

The ball takes a time of 1 second to reach its maximum height.

To learn more on quadratic equations: https://brainly.com/question/17177510

#SPJ1

The difference between the amounts Julia and Kellen will raise when they both read x pages is represented by the function j(x) - k(x) =  0.75x + 8.03. And if they both read 500 pages, the difference will be 383.03.

Subtraction is a mathematic operation. Which is used to remove terms or objects in an expression.

Given, Julia and Kellen are participating in a read-a-thon to raise money for charity.

The money each of them raises will be a mix of fixed and per-page donations.

Function / models the total amount, in dollars, that Julia will raise if she reads x pages:

j(x) = 1.65x + 17.31.

Function k models the total amount,

in dollars, that Kellen will raise if he reads x pages:

k(x) = 0.90x + 9.28.

To find the difference between the amounts Julia and Kellen will raise when they both read x pages:

j(x) - k(x) =  1.65x + 17.31 - (0.90x + 9.28).

j(x) - k(x) =  1.65x + 17.31 - 0.90x - 9.28.

j(x) - k(x) =  0.75x + 8.03.

If they both read 500 pages, the difference will be;

j(500) - k(500) =  0.75(500) + 8.03 = 375 + 8.03 = 383.03

Therefore, if they both read 500 pages, the difference will be 383.03.

To learn more about the subtraction;

https://brainly.com/question/2346316

#SPJ1

The complete question is:

Select the correct answer from each drop-down menu.

Julia and Kellen are participating in a read-a-thon to raise money for charity. The money each of them raises will be a mix of fixed and per-page

donations.

Function / models the total amount, in dollars, that Julia will raise if she reads x pages:

j(x) = 1.65x + 17.31.

Function k models the total amount, in dollars, that Kellen will raise if he reads x pages:

k(x) = 0.90x+9.28.

The function

If they both re

h(x)=0.75x+26.59

h(x) = 0.75x+8.03

h(x) = 2.55x+8.03

h(x) = 2.55x+26.59

represents the difference between the amounts Julia and Kellen will raise when they both read x pages.

ence will be $

Reset

Next

In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

Learn more about data life cycle here

brainly.com/question/28039445

#SPJ4

Answer:

6

Step-by-step explanation:

RS and QT are parallel because it is a trapezoid. This means that the transversal applies. Look at the picture attached to understand what I mean.

So, we know that 18x - 13 = 180(degree of a line)-85. Then, solve the equation.

18x-13=95

18x=108

x=6

The probability that either of spin two wheel lands on an odd value is 1.

For the stated question-

Total number marked on the wheel (1 to 6) = 6 numbers.

Total odd number (1, 3, 5) = 3 numbers

Probability of of getting odd number on one wheel = 3/6 = 1/2.

Let the probability of of getting odd number on one wheel P(A).

Then, Probability of of getting odd number on second wheel P(B).

Then,

Only only wheel have the odd number,

P(A∩B) = 0.

Thus,

Probability that either wheel lands on an odd value;

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 1/2 + 1/2 - 0

P(A∪B) = 1

Thus, probability that either wheel lands on an odd value is 1.

To know more about the probability, here

https://brainly.com/question/13604758

#SPJ4

Answer:

B second one

Step-by-step explanation:

2000-750/5=250

The area of the semicircle is 39.275 square cm

From the question, we have the following parameters that can be used in our computation:

Diameter = 10 cm

Start by calculating the radius of the semicircle

So, we have the following representation

radius = Diameter/2

This gives

radius = 10/2

Evaluate

radius = 5

The area of the semicircle is then calculated as

Area = πr²/2

So, we have

Area = 3.142 * 5²/2

Evaluate

Area = 39.275

Hence, the area is 39.275 square cm

Read more about area at

https://brainly.com/question/25292087

#SPJ1

Answer:

Step-by-step explanation:

Oh I don't really know but I will find it out for you right now

It should be noticed that the seat assigned to Jean as per the given data is 108 .

Jean seat =  108.

The seat numbers were either 53, 64, 108, or 216 based on the information.

The single seat with a factor of 16 went to Candice. The seat is 64 .

In the group of seats, Bill was given the seat with the highest multiple of 8. It's number 216.

Rose was given the sole prime number-containing seat number. It is 53.

Therefore, 108 is the sum that is left.

A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.

To learn more about numbers

brainly.com/question/24644930

#SPJ4

Visit Brainly.com for more information: https://brainly.com/question/28663387#readmore

The number of feet of light used by Chad is 176 feet

From the question, we have the following parameters that can be used in our computation:

Length = 55 feet

Width = 48 feet

We start by calculating the distance from the end of the width till the beginning of the length

This is represented by the following Pythagoras theorem

Distance = √(Length² + Width²)

So, we have

Distance = √(55² + 48²)

Evaluate

Distance = 73

The number of feet is then calculated as

Feet = Length + width + distance

So, we have

Feet = 55 + 48 + 73

Evaluate

Feet = 176

Hence, the total distance is 176 feet

Read more about Pythagoras theorem at

https://brainly.com/question/343682

#SPJ1

Step-by-step explanation:

so pretty much replace -3, 0 and 3 into the equation

-3 to the power of 2 is 9 and 9(3) is 27. 27-(-3) is 27+3, 30

0 squared is 0 so the 2nd one would be 0

3 squared times 3 is 27 and subtracted by 3 is 24.

Answer:mutplion

Step-by-step explanation:

Answer: It's in the picture.

Step-by-step explanation:

Answer:

$227

Step-by-step explanation: if the console gets marked downed $25 it will be $200 then the 12% increase which it $27 so that will be $227

The axis of symmetry of equation y = 3x² - 18x + 5 is x = 3.

The object's shape becomes symmetrical when a straight line acts as the axis of symmetry. Each side of the axis of symmetry produces a perfect reflection of the other. It can be lateral, vertical, or any combination of the three.

Given equation:

y = 3x² - 18x + 5

The line symmetry of y =  [tex]ax^2+bx+c = 0[/tex]  is x = -b / 2a,

Hence, x = -(-18) / 2 × 3

Therefore, x = 3 is the axis of symmetry of equation y = 3x² - 18x + 5.

To know more about axis symmetry:

https://brainly.com/question/22495480

#SPJ1

There are 1240 students in the school.

What is Proportionalities (Ratios)?

It is possible to represent absolute connections using ratios or proportions, independent of the variables' actual raw values. For instance, if your business always produces widgets packaged in bundles of 20 widgets each, you will always have a 20 widgets to 1 bundle ratio regardless of how many bundles you produce. Accordingly, if you produce 100 bundles per day, you will have produced 2000 widgets in a single day.  The proportion of widgets to bundles is constant and does not change. As long as the other ratio factor quantity is known or can be known, the ratio or proportion can then be used as a conversion factor to calculate the number of an unknown quantity of one ratio factor.

In our problem, we know that there are 11 boys : 9 girls in the school. We also know that there are 124 more boys than girls.

If we let x equal the number of girls in the school, the number of boys will then be x+124. We know the ratio of boys to girls and produce a conversion factor to determine the number of girls present in the school:

( number of boys)[tex]$\left(\frac{\text { girls }}{\text { boys }}\right)=$[/tex] number of girls

[tex](x+124)\left(\frac{9}{11}\right)=x[/tex]

Note that since we are looking to find the number of girls, it appears in the numerator of the conversion factor and boys in the denominator. If we were looking for the number of boys, we would flip the conversion factor to have the number of boys in the numerator and girls in the denominator.

Now let's simplify the equation and solve for x :

[tex]\begin{aligned}(x+124)\left(\frac{9}{11}\right) & =x \\\frac{9 x+1116}{11} & =x \\9 x+1116 & =11 x \\1116 & =11 x-9 x \\1116 & =2 x \\\frac{1116}{2} & =x=558\end{aligned}[/tex]

If we have 558 girls, the number of boys is then:

x+124=558+124=682boys

Adding the number of boys and girls together, we will have the total number of students in the school: 558+682=1240 students

To learn more about Proportionalities visit:https://brainly.com/question/8598338

#SPJ4

Answer:y= -2/3+3 is the answer since you are just flipping the same line and move down by 1

Step-by-step explanation:

Sean's real average speed was less than his predicted 40 mph.

Calculating average speed involves dividing the whole distance traveled by the total time it took to cover that distance. Speed is the rate of movement of something at a specific time.

Hence, Sean's real average speed was less than his predicted 40 mph.

To learn more about average speed refer to:

https://brainly.com/question/553636

#SPJ1

a. The constant of variation is 1.3.

b. Initially the tree is  29.1 cm.

c. The equation showing this relationship is y = 1.3x + 29.1.

d. After  12.2 weeks many weeks will the plant be 45 cm tall.

e. 16.85 weeks of time has gone by when the plant is 51.3 cm tall.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at

x = 0.

a. The constant of variation is (y₂ - y₁)/(x₂ - x₁) = (38.2 - 33)/(7 - 3).

= 1.3.

∴ 38.2 = (1.3)7 + b.

38.2 = 9.1 + b.

b = 29.1.

y = mx + 29.1.

b. Now initial constant of variation m = 0.

So, y = 29.1 (cm).

c. The equation showing this relationship is y = 1.3x + 29.1.

d. 45 = 1.3x + 29.1.

1.3x = 15.9.

x = 15.9/1.3.

x = 12.2 weeks.

e. 51 = 1.3x + 29.1.

1.3x = 21.9

x = 16.85 weeks of time have gone.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ2

Check the picture below.

so hmmm let's only find the lines in red and add them up all

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-4}) ~\hfill d1=\sqrt{(~~ 1- (-2)~~)^2 + (~~ -4- (-1)~~)^2} \\\\\\ ~\hfill d1=\sqrt{( 3)^2 + ( -3)^2} \implies d1=\sqrt{ 18 }[/tex]

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{0}) ~\hfill d2=\sqrt{(~~ 2- 1~~)^2 + (~~ 0- (-4)~~)^2} \\\\\\ ~\hfill d2=\sqrt{( 1)^2 + ( 4)^2} \implies d2=\sqrt{ 17 } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Perimeter}}{4~~ + ~~4~~ + ~~3~~ + ~~\sqrt{18}~~ + ~~\sqrt{17}} ~~ \approx ~~ \text{\LARGE 19.4}[/tex]

35 is  diagonals does a convex decagon have .

What does a pentagon basic definition entail?

A geometric figure with five sides and five angles is called a pentagon. Here, "Penta" stands for five, while "gon" is an angle.

                      One of the different kinds of polygons is the pentagon. For a standard pentagon, the total internal angles come to 540 degrees.

There are a total of  ¹⁰C₂  ways to connect two different vertices. But connecting neighbouring vertices doesn't count, so we have to exclude the sides from our consideration. There are 10 sides, so we need to take away 10 ways from the 45 ways possible to get the number of diagonals.

 Number of diagonals in a decagon = 35

Learn more about pentagon

brainly.com/question/17054992

#SPJ4

The weight of all of the rocks to the nearest tenth is 6.085 pounds .

Given :

in a science lab, a number of rock samples are weighed. if the scientist finds one of the rocks to weigh 3 pounds and this is 49.3% of the total weight of all of the rocks, what is the weight of all of the rocks if necessary, round your answer to the nearest tenth.

Let x be the total weight or all the weight of rocks .

3 = 49.3 % * x

3 = 49.3 * 1 / 100 * x

3 * 100 = 49.3 * x

300 = 49.3 * x

divide with 49.3 on both sides

300 / 49.3 = 1 * x

x = 300 / 49.3

= 6.085 pounds

Learn more about the number here:

https://brainly.com/question/17429689

#SPJ4

Hello,

I hope you and your family are doing well!

To simplify the expression, you can combine like terms and simplify:

[tex](2x^2+x+1)-(x^2-x+7)-(4x^2+2x+8)[/tex]

[tex]= 2x^2+x+1 - x^2+x-7 - 4x^2-2x-8[/tex]

[tex]= (2x^2 - x^2 - 4x^2) + (x - x - 2x) + (1 - 7 - 8)[/tex]

[tex]= -3x^2 - 3x - 14[/tex]

Therefore, the simplified expression is [tex]-3x^2 - 3x - 14[/tex]

Please consider giving this 5 stars and brainliest if you find it helpful.

Happy Holidays!

Answer:

$16.35 is jadas sister new hourly pay

Step-by-step explanation:

hope this helps

Waiting time follows an exponential distribution with mean

μ=60

μ=60 seconds. This implies λ=1μ=160λ= μ1= 601

Let X be the waiting time. for first we have to calculate the probability of customers who wait less than 30 secs.

a. X is less than 30 seconds, then we have to find ,

P(X<X1)=1−e−λX1⇒P(X<30)=1−e−λ×0

=1−e−160×30 =1−e−12=1−0.6065

=0.3935P(X<X 1)⇒

P(X<30)

​

=1−e −λX 1=

1−e −λ×30 1−e − 601×30 =

1−e − 21

=1−0.6065

=0.3935

​b. X is more than 120 seconds, then we have to find less than 120 sec

b. X is more than 120 seconds

P(X>X1)=1−P(X<X1)=1−(1−e−λX1)⇒P(X>120)=1−(1−e−λ×120=e−60×120=e−2=0.135

P(X>X 1)⇒P(X>120)=1−P(X<X 1)=1−(1−e −λX 1)=1−(1−e −λ×120= − 601×120 =e −2=0.135

To learn more about probability.

https://brainly.com/question/28409225

#SPJ4

Answer:

x = -4

Step-by-step explanation:

(4x-5)/(3x+5) = 3

1. Multiply both sides by 3x+5

  4x-5 = 3(3x+5)

2. Expand

   4x-5 = 9x+15

3. -4x from both sides

   -5 = 5x+15

4. -15 from both sides

  -20 = 5x

   x = -4

It is greater than 3

x = 4

We can solve the equation as

(4x-5) = (3x+5)*3

4x-5=9x+15

x = 4

Answer: 108

Step-by-step explanation:

We find the number of boys by taking 300 timed 0.32 = 96 boys

Then we subtract 300 from 96 = 204 girls

Then we removed 204 by 96 = 108

So there are 106 girls more than boys

If you can, please give me a Brainliest, I only need 1 more to become an Ace, thank you!

Answer: 108

Step-by-step explanation: There are 300 teenagers in all. To find how many boys they are, multiply 32/100 times 300/1. You get 96, so there are 96 boys. This means that there are 204 girls. There are 108 more girls than boys. Hope this helps!

Just solve it? (Doing the same thing you did on my question.)