I NEED HELP WITH Assessment: Plot Twists

Since we do not know the value of u, we cannot find the time taken by the basketball to travel a distance of 8.5 meters. We cannot find the height of the basketball at its highest point.

Given that n(x) = 3 for 8 < x < 8.5.It is impossible to determine whether the shot will be made or not based solely on this information. Winning the playoffs depends on various factors, such as the score, time remaining, and the overall performance of the team.

Therefore, additional information is required to determine the outcome of the playoffs.However, to find the height of the basketball at its highest point, we need to know the equation of the trajectory of the basketball.

Assuming that the basketball follows a parabolic path, we can use the formula:

y = ax² + bx + c,

where y is the height of the basketball, and x is the horizontal distance traveled by the basketball.

To find the values of a, b, and c, we need to know three points on the trajectory of the basketball. Let's assume that the basketball is thrown from a height of 1.5 meters and lands on the floor after traveling a horizontal distance of 8.5 meters.

Therefore, the points on the trajectory of the basketball are:

(0, 1.5), (8.5/2, h), and (8.5, 0),

where h is the height of the basketball at its highest point.Substituting these values in the equation of the trajectory,

we get:

1.5 = a(0)² + b(0) + c...(1)0 = a(8.5)² + b(8.5) + c...(2)h = a(8.5/2)² + b(8.5/2) + c...(3)

Simplifying equations (1) and (2),

we get:

c = 1.5...(4)b = -a(8.5)²/8.5...(5)

Substituting equation (4) in equation (3), we get:

h = a(8.5/2)² + b(8.5/2) + 1.5h = a(8.5/2)² - a(8.5)²/8.5 + 1.5h = -29.375a + 1.5

Substituting the value of a from equation (5) in the above equation,

we get:

h = -29.375(-a(8.5)²/8.5) + 1.5h = 0.5a(8.5)² + 1.5

Therefore, to find the height of the basketball at its highest point, we need to find the value of a. Since we know that the basketball lands on the floor after traveling a horizontal distance of 8.5 meters,

we can use the formula:

x = ut + 0.5at²,

where u is the initial horizontal velocity of the basketball, and t is the time taken by the basketball to travel a distance of 8.5 meters.

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Answer: one senior ticket is $8 and one student ticket is $14

Hope this helps a little

Answer:

Step-by-step explanation:

The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool

The maximum home value that can be financed is approximately $35,365.85.

Let's represent the maximum home value that can be financed by H.

If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.

Therefore, we have:

H × 82% = $29,000

Multiplying both sides by (1/82%), we get:

H = $29,000 / 82%

= $35,365.85

Hence, the maximum home value that can be financed is approximately $35,365.85.

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\(\bf{Swap \ sides \ 8x+2(x+6)=-28 }\)

\(\bf{Expand \ 2(x+6): \ \ \ \ 2x+12}\)

\(\mathrm{Set \ the \ variables \ using: \ \ \ a(b+c)=ab+ac}\)

\(a=2,\:b=x,\:c=6\)

\(=2x+2\cdot \:6\)

\(\mathrm{Multiply\:the\:numbers:}\:2\cdot \:6=12\)

\(=2x+12\)

\(8x+2x+12=-28\)

\(\mathrm{Add\:similar\:elements:\:8x+2x=10x}\)

\(10x+12=-28\)

\(\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\)

\(10x+12-12=-28-12\)

\(\mathrm{Simplify}\)

\(10x=-40\)

\(\mathrm{Divide\:both\:sides\:by\:}10\)

\(\dfrac{10x}{10}=\dfrac{-40}{10}\)

\(\mathrm{Simplify \ \dfrac{10x}{10}: \ \ x }\)

\(\mathrm{Divide:}\:\dfrac{10}{10}=1\)

\(=x\)

\(\mathrm{Simplify \ \dfrac{-40}{10}: \ \ -4 }\)

\(\rm{Apply \ the \ properties \ of \ fractions \ to \ fractions: \ \ \dfrac{-a}{b}=-\drac{a}{b}}\)

\(=-\dfrac{40}{10}\)

\(\rm{split: \ \dfrac{40}{10}=4 }\)

\(\bf{x=-4 \ \ \to \ \ \ Answer }\)

Answer:

Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.

Step-by-step explanation:

To compare the measures of center, we can calculate the mean and median points earned by each team:

Panthers: Mean = 212/15 = 14.13 points, Median = 14 points

Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points

Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.

So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).

The x-intercept of the function is (-1/3, 0) and (5, 0)

Given is a graph of a parabola having equation y = -3x²+14x+5, we need to find the x-intercept of the graph,

So to find the x-intercept put y = 0,

Therefore,

-3x²+14x+5 = 0

-3x²+15x-x+5 = 0

-3x(x-5)-1(x-5) = 0

(-3x-1)(x-5) = 0

Therefore,

x = -1/3 and x = 5

Hence the x-intercept of the function is (-1/3, 0) and (5, 0)

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Answer:

the actual sales be $31,132

Step-by-step explanation:

The computation of the actual sales is as follows:

Let us suppose the actual sales be x

Now the sales tax be 0.06x

Now the total sales would be

x + 0.06x = $33,000

1.06x = $33,000

x = $33,000 ÷ 1.06

= $31,132

hence, the actual sales be $31,132

The same is to be considered by applying the above equation

Answer:

actual sales be $31,132

Step-by-step explanation:

The garden club is planting fruit trees in their school's garden, and they have two types of trees: one large tree that needs a lot of fertilizer and several newly planted trees that need a much smaller amount of fertilizer. The large tree requires 5 pounds of fertilizer.

which is a significant amount compared to the smaller trees, which only need 0.5 pounds of fertilizer each.

The reason for the difference in fertilizer requirements is due to the size and age of the trees. The large tree is likely fully grown and mature, and therefore requires a substantial amount of fertilizer to support its growth and fruit production. The younger and smaller newly planted trees, on the other hand, need much less fertilizer since they are still growing and developing.

Providing the proper amount of fertilizer is crucial to ensuring healthy tree growth and fruit production, which is why the garden club is treating the larger tree differently than the smaller ones. By giving each tree the proper amount of fertilizer necessary for their growth stage, the garden club is helping ensure the success of their fruit tree planting project and ultimately helping to contribute to the schools' educational and environmental goals.

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After answering the provided question, we can conclude that As a result, trigonometry angle XYZ is the smallest angle in triangle XYZ.

The study of the relationship between triangle side lengths and angles is known as trigonometry. The topic first emerged in the Hellenistic era, around the third century BC, due to the application of topography in astronomical studies. The branch of math and science known as precise methods deals with certain trigonometric functions and about there potential applications in computations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, non sequitur, cotangent, secant, and cosecant are their independent names and acronyms (csc). The investigation of triangle properties, notably those of right triangles, is known as trigonometry. As a result, geometry is the survey of the properties of all geometric shapes.

angle XYZ is opposite side XY

angle XZY is opposite side YZ

angle YXZ is opposite side XZ

\(cos(XYZ) = (XY^2 + XZ^2 - YZ^2) / (2 * XY * XZ)\\cos(XZY) = (YZ^2 + XZ^2 - XY^2) / (2 * YZ * XZ)\\cos(YXZ) = (XY^2 + YZ^2 - XZ^2) / (2 * XY * YZ)\)

\(cos(XYZ) = (5^2 + 13^2 - 12^2) / (2 * 5 * 13) = 0.4\\cos(XZY) = (12^2 + 13^2 - 5^2) / (2 * 12 * 13) = 0.96\\cos(YXZ) = (5^2 + 12^2 - 13^2) / (2 * 5 * 12) = 0.48\\\)

We can compare the three values above to see which angle has the smallest cosine. We can see that cos(XYZ) = 0.4 is the smallest, indicating that angle XYZ is the triangle's smallest angle.

As a result, angle XYZ is the smallest angle in triangle XYZ.

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a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

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The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

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Answer:

52 - 13 = 39 so p = 39

Step-by-step explanation:

Answer:

P=25

Step-by-step explanation:

180=52+90+p+30

180=155+P

180-155=p

p=25

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

a. 12.5

Step-by-step explanation:

Scale factor of ∆LMN to ∆XYZ = 2:5

To find length of side ZX, set the ratio of the corresponding sides of interest equal to the scale factor.

Thus:

ZX corresponds to NL = 5

NL:ZX = 2:5

5:ZX = 2:5

5/ZX = 2/5

Cross multiply

5*5 = ZX*2

25 = ZX*2

Divide both sides by 2

25/2 = ZX

12.5 = ZX

ZX = 12.5

Answer:

The middle half of the video game data has a range that is 43 minutes wide.

Step-by-step explanation:

Thats the answer on Edguinity I took the Quiz.

Answer:B

Step-by-step explanation:

EDGE 2023

Answer: banana- 88

Orange-55

Apple-143

Step-by-step explanation:

220 divided by 5, times 2,

that’s the banana trees

220 divided by 4, that’s the oranges

Add the answers together

Take the answer away from 220 that’s the apples

Step-by-step explanation:

I cannot do this table nicely here, but it is totally simple : the first number in brackets is the input, the second number the corresponding output.

you can do this easily and faster than in here.

it is not a function, because e.g. the input values -2 and 4 have more than 1 output value assigned (in different offered pairs, sure, but the whole group of ordered pairs defines the relationship).

-2 has 6 and 8

4 has 6 and 15

to be a function, each input value can have only one associated output value.

The solution of the system of equations is x = 4 and y =-6

The system of equations is given as:

4x - 5y = 46

-4x - 4y = 8

Add the two equations, to eliminate x

So, we have:

4x -4x - 5y - 4y = 46 + 8

Evaluate the like terms

-9y = 54

Divide both sides by - 9

y = -6

Substitute y = -6 in the equation 4x - 5y = 46

4x - 5(-6) = 46

This gives

4x + 30 = 46

Evaluate the like terms

4x = 16

Divide by 4

x = 4

Hence, the solution of the system of equations is x = 4 and y =-6

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Answer:

P(pumps) = 2/5

Step-by-step explanation:

(Pumps)/(Everything)

(10)/(9+6+10)

10/25

2/5

Answer:

y/x = R

Step-by-step explanation:

The two quantities x and y are proportional means they have a relation.

The equation is;

y= Rx ------to find the proportional R you make R the subject of the formula;

y/ x = R

4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

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\(y = -\frac{1}{9}(x - 1)^2 - 6\)

Step-by-step explanation:

The vertex form of the equation for a parabola is given by

\(y = a(x - h)^2 + k\)

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as

\(y = a(x - 1)^2 - 6\)

Also, since the parabola passes through (4, -7), we can use this to find the value for a:

\(-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6\)

or

\(a = -\frac{1}{9}\)

Therefore, the equation of the parabola is

\(y = -\frac{1}{9}(x - 1)^2 - 6\)

Answer:

a) P [X ≥ 30 ] =  0,8413      or    84,13%

b)  P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]   =  0,9544     or   95,44%

Step-by-step explanation:

z = ( X - μ₀ )/σ

μ₀ the mean ( average no. of months that an employee stay in a factory)

σ standard deviation

a) P [X ≥ 30 ] = 1 -  P [X < 30 ]

P [X < 30 ]

We look for z (score)

z = ( X - μ₀ )/σ      ⇒  z =  30 - 36 / 6

z = - 1

From z table we get for -1  

P [X < 30 ] = 0,1587

And

P [X ≥ 30 ] = 1 -  P [X < 30 ]  ⇒        P [X ≥ 30 ] = 1 - 0,1587

P [X ≥ 30 ] =  0,8413      or    84,13%

b) P [X < 24]

z (score) = ( 24 - 36 ) / 6

z( score) = -2

And from z table we get:

P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]    is  P[X ≤ 48] -  P[X ≤ 24]

P [X < 48]

s (score) = 48 - 36 / 6      ⇒   z = 2

P [X < 48] = 0,9772

Then

P [ 24 < X < 48 ]   = 0,9772  - 0,0228

P [ 24 < X < 48 ]   =  0,9544     or   95,44%

Answer: y=3x-2

Step-by-step explanation:

3y-9x=-6

First you will need to add 9x to the other side so your equation will look like 3y=9x-6. Then you need to divide all the numbers by 3. So 3y divided by 3 and 9 divided by 3 and -6 divided by 3. Your final answer should be y=3x-2.

Answer:

This equation in slope intercept form would be y = 3x - 2

Step-by-step explanation:

The following is how to solve this equation:
3y - 9x = -6
+9x +9x
----------------------
3y = 9x - 6
divide each of the numbers by 3

So the answer is y = 3x - 2

The line or points has a slope value of -1

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

The slope of -3 up to positive 3

For a start, we represent the above parameters using an ordered pair

The ordered pair is represented as

(x, y) = (-3, 3)

The slope of the point is then calculated using the following slope formula

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-3, 3) and (0, 0)

The coordinate (0, 0) represents the origin

Substitute the known values in the above equation

So, we have the following equation

Slope = (3 - 0)/(-3 - 0)

Evaluate the difference

So, we have the following equation

Slope = (3)/(-3)

Evaluate the quotient

So, we have the following equation

Slope = -1

Hence, the slope is -1

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