When dealing with quadratic regression, what is one of the first things that needs to be done on the graphing calculator? A.graph B.label the graph C. Create a scatterplot D. Calculate the quadratic regression

The requried ball reached a maximum height of approximately 62 feet

Let the ball is thrown vertically upward, we can use the following formula to find the maximum height it reaches:

\(h(t) = -16t^2 + vt + h_0\)

here, h(t) is the height of the ball at time t, v is the initial velocity of the ball (in feet per second), and h0 is the initial height of the ball (in feet). We can also use the fact that the ball remains in the air for 3.8 seconds, which means that the time it takes to reach the maximum height is half of that or 1.9 seconds.

At the highest point, the ball's velocity is zero, so we can find the initial velocity by setting v = 0 in the above formula and solving for h₀:

h₀ = h(t) + 16t²

   = 4 + 16(1.9)²

   ≈ 4 + 57.76

   ≈ 61.76

Therefore, the ball reached a maximum height of approximately 62 feet

Learn more about the law of motion here:

https://brainly.com/question/29775827

#SPJ1

Answer: n= -1

Step-by-step explanation:

simplify by distributing:

5(2n+4)=-2(4n-1)

10n+20=-8n+2

add 8n to both sides:

10n+20=-8n+2

+8n +8n

————————

18n+20=2

subtract 20 from both sides

18n+20=2

-20 -20

————————

18n=-18

divide both sides by 18:

18n/18 = -18/18

n = -1

question is complete!

Answer:

720 ft^2

Step-by-step explanation:

1) find the area of the swimming pool

A = 32 x 16 = 512 ft ^2

2) find the total area

A = 44 x 28 = 1232 ft^2

3) find the area of the deck

A = total area - area of the swimming pool = 1232 - 512 = 720 ft^2

Answer:

512

Step-by-step explanation:

Answer:

6.06

Step-by-step explanation:

first draw a diagram, that'll make life easier,

then;

tan68 = opposite/adjacent

tan68 = 15/x

x = 15/tan68

x = 6.06

Answer:

7.24

Step-by-step explanation:

i did the quiz and have a great day

Answer:

both triangles are SAS

ITS SIDE ANGLE SIDE

The three-dimensional shape is formed would be as;  rectangle

Consider the square that has to be rotated about the axis as shown in the picture.

In the attached diagrams this square is black rectangle ABCD.

While rotating each point of the square will describe the circle. The circles with the greatest radii will be circles made by the points from the side that is opposite to the side on the axis of rotation.

We can take that point in any of the two surrounding quadrants. Example, if the point is on the positive x axis, then it can taken as of first quadrant or fourth quadrant.

The formed figure appears to be a rectangle.

Learn more about rotation of a point with respect to origin here:

https://brainly.com/question/18856342

#SPJ1

The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Learn more about length at https://brainly.com/question/28322552

#SPJ1

The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

Answer:

all the would need water becouse water is the main reason to get live

Answer:

5%

Step-by-step explanation:

Percent error equation is:

(Absolute value of experimental value - actual value / actual value) * 100

Experimental Value: 315

Actual Value: 300

315 - 300 / 300 = 0.05

0.05*100 = 5

Percent error is 5%

Answer: the percent error is 5%

Step-by-step explanation:

Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

for such more question on number of seats

https://brainly.com/question/859564

#SPJ8

Answer:

1.  f(1) = -1

2. for x=3 f(x)=1

Step-by-step explanation:

According to function definition:

 for x=1  f(x)=f(1)=-1   (for first answer)

 for x=3 f(x)=f(3)=1   (for second answer)

The fill up for the 3rd  step is y - 250 =  340x.

Note that:

y-250 = 250 + 340 x - 250

y = 250 + 340x.

Make x the subject of the formula:

y - 250 =  340x.

then y-250/340 = x

Then  \(x = \frac{y-250}{340}\)

The justification for the second step is subtraction property of equality because it undergoes subtraction and the collection of like terms and then subtracting them from one another as shown below:

y-250 = 250 + 340 x - 250

y= 250 + 340x - 250 + 250

Note that (-250 + 250) = 0

y = 250 + 340x.

Lastly, The fill up of the 6th step is substitution of the amount of money  saved and  then simplifying it.

Learn more about simplification from

https://brainly.com/question/723406

#SPJ1

The variable terms of the expression 5 - 8n - 3n² are: n, n²

(5 - 8n - 3n²)

In this question, we have been given an expression 5-8n-3n^2

We need to name the variable terms of the expression.

Also, we need to underline the variable part of each term.

We know that,  variable is a term which represents an unknown value or quantity.

We have been given an quadratic expression.

5 - 8n - 3n²

We can observe that, 5, -8, -3 are fixed numbers i.e., constants.

And the alphabet n can take any real value.

Consider the first term,

5 => it is a constant

Consider the second term,

- 8n => here, the variable is n

Consider the third term,

- 3n² =>  here, the variable is n²

Now, we underline the variable part of each term.

5 - 8n - 3n²

Therefore, the variable terms of the expression 5 - 8n - 3n² are: n, n²

(5 - 8n - 3n²)

Learn more about an expression here:

https://brainly.com/question/13953425

#SPJ1

Answer:

The number is 59

Step-by-step explanation:

13×4-2+9=59

Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

Learn more on system of linear equation here;

https://brainly.com/question/13729904

#SPJ1

Answer:

The area of the garden is 12.

Step-by-step explanation:

All you have to do is multiple the width time the length and you will get 12.

Answer:

There are 4 extra toys.

Step-by-step explanation:

Hey there!

We're given the following information:

Therefore, we can realize that this will be a division problem since something is being put into another item:

We have 3 boxes that will fit 30 toys each, so let's find out how many toys are accounted for with these boxes.

Now, we can just subtract the total number of toys from the accounted amount of toys.

Therefore, we know that remaining is a synonym of extra, so there are a total of four toys that are left over.

Answer:

4

Step-by-step explanation:

90/30 = 3 boxes

94-90 = 4 extra boxes

The Function is increasing (-∞, 0), decreasing (2, ∞), and constant [0, 2].

The intervals on which the function is increasing, decreasing, or constant, we need to analyze the behavior of the function in each interval.

1. Interval t < 0:

In this interval, the function is given by f(t) = t + 2. Since the coefficient of t is positive (1), the function is increasing. Therefore, the interval t < 0 is an interval of increasing values.

2. Interval 0 ≤ t ≤ 2:

In this interval, the function is constant and given by f(t) = 2. The value of the function remains constant at 2 for all values of t in this interval.

3. Interval t > 2:

In this interval, the function is given by f(t) = -t + 4. Since the coefficient of t is negative (-1), the function is decreasing. Therefore, the interval t > 2 is an interval of decreasing values.

To summarize:

Increasing interval: t < 0

Decreasing interval: t > 2

Constant interval: 0 ≤ t ≤ 2

Using interval notation, we can express the intervals as follows:

Increasing interval: (-∞, 0)

Decreasing interval: (2, ∞)

Constant interval: [0, 2]

In interval notation, (a, b) denotes an open interval, which means it includes all values between a and b, but excludes the endpoints. [c, d] denotes a closed interval, which includes both endpoints c and d.

Therefore, the function is increasing on the interval (-∞, 0), decreasing on the interval (2, ∞), and constant on the interval [0, 2].

To know more about Function .

https://brainly.com/question/11624077

#SPJ11

Answer:

yes

Step-by-step explanation:

For the function  f(x) = 2x + 3 the third iterate x₃  is 37

To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,

we can apply the function repeatedly.

Starting with x₀ = 2:

x₁ = f(x₀)

= 2(2) + 3

= 7

x₂ = f(x₁)

= 2(7) + 3 = 17

x₃ = f(x₂)

= 2(17) + 3

= 37

Therefore, the third iterate x₃  is 37.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ1

The dimensions of the island on the blueprint are 14 inches by 3.5 inches.

We have,

The actual dimensions of the island are 3 1/2 feet by 1 3/4 feet.

We need to find the dimensions of the island on the blueprint, given that the scale of the blueprint is 1 inch = 2 feet.

To convert the actual dimensions to the dimensions on the blueprint, we need to use the scale factor of 1 inch = 2 feet.

We can set up a proportion to relate the actual dimensions to the dimensions on the blueprint:

Actual dimension/blueprint dimension = scale factor

Let x be the length of the island on the blueprint.

Then we can set up the following proportion:

3.5 feet / (1.75 feet)

= x inches / 7 inches

Simplifying,

2 = x / 7

Multiplying both sides by 7, we get:

x = 14 inches

The length of the island on the blueprint is 14 inches.

Similarly, we can find the width of the island on the blueprint:

1.75 feet / 3.5 feet

= y inches / 7 inches

Simplifying, we have:

0.5 = y / 7

Multiplying both sides by 7, we get:

y = 3.5 inches

The width of the island on the blueprint is 3.5 inches.

Thus,

The dimensions of the island on the blueprint are 14 inches by 3.5 inches.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

Here's what I get  

Step-by-step explanation:

Stretch

(i) The equation

E = 250 000 + 100 000n

(ii) Variables

n = the number of games played

E = Stretch's total earnings in dollars

(iii) Constants

$250 000 = Stretch's signing bonus

$100 000  = the money earned for each game.

\(\begin{array}{ccc}\textbf{Games played} & \textbf{ Earnings/}\mathbf{\$}&\textbf{Earnings/}\mathbf{\$10^{6}} \\20 & 2 350 000 &2.35\\40 & 4 250 000&4.25 \\60 & 6 150 000 &6.15\\80 & 8 050 000&8.05 \\\end{array}\)

The graph shows how Stretch's total earnings vary with the number of games played.

(iv) Total earnings after 44 games

\(\begin{array}{rcl}E & = & 250000 + 100000n\\& = &250000 + 100000(44)\\& = &250000 + 4400000\\& = & \mathbf{4 650 000}\\\end{array}\)

Rory

E = 95 000n + 450 000

Rory's deal is better than Stretch's if they play fewer than 40 games.  

He starts off with a bigger signing bonus, but Stretch earns more money per game.

Stretch closes the gap with each game played.

By 40 games they have the same total earnings.

After 40 games Stretch has more total earnings.

1) The Roman military was directed by consuls

2) Senate, a body where plebians chose the leaders.

3) a patrician-only ruling body known as the Assemblies.

The highest ranked magistrate in the Roman Republic was known as a consul (consul in Latin). Two consuls, who were responsible for overseeing the state and, in particular, the army in the field, were chosen annually from among citizens over the age of forty-two for the office, which was annual and collegiate. The consuls, however, held relatively little power and influence during the foundation of the Empire because the emperor assumed the role of supreme leader, serving solely as a symbol of Republican Rome's past.

The Senate, also known as Senatus, de senex, elder, was one of the components of Ancient Rome's government. It was made up of 300 members drawn from the ancient magistrates during the most of the Republic, yet following Sila's dictatorship and during the imperial era, that number rose to 900. It was responsible for approving the laws chosen by the electorate, giving magistrates advice, and managing foreign policy, finances, and religion.

The complete question is :

Insert a picture below

To learn more about Roman Republic, refer to:

https://brainly.com/question/1566483

#SPJ4

Answer:

3(3x−1)

Step-by-step explanation:

The solution of the expression \(\sqrt{z^4\times z^{\frac{-3}{2}}\) will be z⁵.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The expression will be solved as:-

\(E = \sqrt{z^4\times z^{\frac{-3}{2}}\)

\(E = \sqrt{(z)^{4- {\frac{3}{2}\)

E = z⁵

Therefore, the solution of the expression is z⁵.

To know more about an expression follow

https://brainly.com/question/11975096

#SPJ1