One hundred riders from several countries participated in a bicycle race. Only eighty riders, including Juan and Charlie, finished the race. Juan finished 5th and Charlie was the winner. All the riders' countries of origin and finishing times were recorded on the race register. No two riders who finished had the same time and those who did not finish were recorded as DNF.
Based on this information, determine if each set is well-defined. Yes or No

The set of riders who finished minutes or more after the winner (Yes or No)
The set of the three least tired riders at the end (Yes or No)
The set of riders with the best-looking bicycles (Yes or No)
The set of riders who finished the race (Yes or No)
The set of countries of origin of the riders that didn't finish (Yes or No)

The equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power is option B

(5/8)^-1 × (0.42)^2

= {1 ÷ (5/8)¹} × 0.42²

= {1 × (8/5)¹} × 0.42²

= (8/5)¹ × 0.42²

Therefore, the equivalent expression is eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power

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Answer:

(1.6) (0.42)^2 C

Step-by-step explanation:

I had originally put B, but my teacher explained and said its C.

the first part of b is correct where it says 8/5, bc you need to flip it in order to not have a negative exponent (you cant have a negative exponent as an answer) but 0.42 is correct and iit does not need to be fliped, since there is no (8/5)(0.42)^2 option, you need to make the 8/5 into a decimal, it becomes 1.6 and so the answer is C

The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.

The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:

h = -4.9(t² - 5.6t) + 0.584

Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:

h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584

Simplifying, we get:

h = -4.9((t - 2.8)² - 2.8²) + 0.584

Expanding further:

h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584

Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328

b) The ball's height when it was hit can be found by evaluating the equation at t = 0:

h = -4.9(0 - 2.8)² + 34.328

h = -4.9(-2.8)² + 4.328

h = -4.9(7.84) + 34.328

h ≈ 0.784 meters

To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.

The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:

0 = -4.9(t - 2.8)² + 34.328

4.9(t - 2.8)² = 34.328

(t - 2.8)² ≈ 7

t - 2.8 ≈ ±√7

t ≈ 2.8 ± √7

Since time cannot be negative in this context, we can ignore the negative value.

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Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

\( \frac{AB}{LM} = \frac{AC}{LN} \)

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

\( \frac{5}{10} = \frac{x + 5}{3x + 3} \)

Cross multiply

\( 5(3x + 3) = 10(x + 5) \)

\( 15x + 15 = 10x + 50 \) (distributive property)

Collect like terms

\( 15x - 10x = -15 + 50 \)

\( 5x = 35 \)

Divide both sides by 5

x = 7

✔️Find AC

AC = x + 5

Plug in the value of x

AC = 7 + 5

AC = 12

LCM=2×2×3×5=2×6×5=2×30=60

Step-by-step explanation:

\(\large \boldsymbol{} \sf 6=\bold3\cdot \underline2 \\\\12=\bold3\cdot \underline2\cdot 2\\\\15=5\cdot\bold 3 \\\\ LCM(6 ; 12 ; 15) =\bold{3\cdot 2}\cdot 2\cdot 5=60\)

Step-by-step explanation:

Find the factors of x that makes it zero.. Equate the equation to y and use it to find the value of y. Then get your values for x and y and plot the graph

The system of equations used to determine the scores is given as follows:

h = r - 8.

h + r = 25.

What exactly do you mean by an equation system?

Simultaneously occurring equations, or system of equations Algebra requires the simultaneous solution of two or more equations (i.e., the solution must satisfy all the equations in the system).

                             The quantity of equations must match the quantity of unknowns for a system to have a distinct solution.

Variable h: number of points scored by Hybrid.

Variable r: number of points scored by Rival.

Hybrid scored 8 less points than Rival, hence:

h = r - 8.

Their combined scores were 25, hence:

h + r = 25.

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The x-intercept and y-intercept are (-3,0) and (0,4/5).

Given,

-3x-4=-5y-8

We need to find the intercept of the line.

Intercepts are the points at which the line crosses the axis.

There are two intercepts :

x-intercept - the point at which the line crosses the x-axis.

Here, y = 0.

y-intercept - the point at which the line crosses the y-axis.

Here, x = 0.

The line is -3x - 4 = 5y - 8

Put x = 0,

-3 x 0 - 4 = 5y - 8

0 - 4 = 5y - 8

5y = 8 - 4

y = 4 / 5

So,

( 0, 4/5 ) is the point where the line crosses the y-axis.

This is the y-intercept.

Put y = 0,

-3x - 4 = 5y - 8

-3x - 4 = 5 x 0 - 8

-3x - 4 = 0 - 8

-3x - 4 = 8

3x = -8 - 4

3x = -12

x = -12/4

x = -3

( -3, 0 ) is the point where the line crosses the x-axis.

This is the x-intercept.

Thus x-intercept and y-intercept are (-3,0) and (0,4/5).

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The relationship that represents a function with a greater rate of change than the function graphed is given as follows:

A. y = 4x - 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The slope represents the average rate of change of a linear function.

From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:

m = -2.

For function A, the function is defined as follows:

y = 4x + 3.

Hence the rate of change is given as follows:

m = 4, which is greater than -2.

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Answer:

<2, <3, <6, <7

Step-by-step explanation:

Supplementary to <4 means that, <4 and that angle equals 180. So we will move angle by angle.

<1 = Is not supplementary because both are virtually opposite angle and virtually opposite angles are equal.

<2 = Is supplementary angle because it is a vertical linear pair with <4.

<3 = Is supplementary angle because it is horizontal linear pair with <4

<5 = Is not supplementary angle because they are alternate interior angles and alternate angles are equal.

<6 = Is supplementary because angles on the same side and same interior/exterior are supplementary. (By interior/exterior, I meant that they have to be either interior or exterior. No both)You can also use the reason that 6 and 2 are corresponding angles, and corresponding angles are equal. So, if 2 is supplementary to 4, then 6 is also supplementary to 4. I think the latter is better than the first.

<7 = Is supplementary because it is vertically opposite to 6 and 6 is supplementary, so 7 is also supplementary.

<8 = Not supplementary. Because 4 and 8 are corresponding angles and corresponding angles are not equal. And also 8 is equal to 5. And 5 is not supplementary to 4. That means 8 is also not.

Ugh... I really hope u understand, and don't think that I am blabbering.

Thank You

Please mark me as the brainliest

Answer:

2.83 meters

Step-by-step explanation:

Change 217 cm to meter

217 * 1 m/ 100 cm = 2.17 m

5 meter - 2.17 m = 2.83 meters

Answer:

283 cm Or 2.83 m of cloths remaining after cutting.

Step-by-step explanation:

As we know that

1 m = 100 cm

so, 5 m = 5 × 100 = 500 cm

Subtract 217 cm from 500 cm

➛ 500 - 217

➛ 283 cm Or 2.83 m

Answer:

A) reflection over the x-axis

Step-by-step explanation:

To eliminate y from the given system of equations, multiply the first equation by 2 and multiply the first equation by 3 and add them.

Utilizing the elimination approach is one strategy to resolve a linear system. To create an equation in one variable using the elimination approach, you can either add or subtract the equations.

To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

If you don't already have equations that allow for the addition or subtraction of a variable, you can start by multiplying one or both equations by a constant to create an analogous linear system that allows for the addition or subtraction of a variable.

Given that, the linear equations are

2x + 3y = 6

3x – 2y = 4

To eliminate y from the given system of equations, multiply the first equation by 2 and multiply the first equation by 3 and add them.

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The complete question is:

Explain how to eliminate y from the given system of equations.

2x + 3y = 6

3x – 2y = 4

Answer:

it can be A or B it doesn't matter because 25-5>10 and 20-5>10

Answer:

Move all terms not containing a to the right side of the inequality.
Inequality Form:
X> 15
Interval Notation:
(15

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer: 45

Step-by-step explanation: Parentheses first.

10-1=9. Next is multiplication. 5(9)=45.

Answer:

we get y = 3 x = 4

Step-by-step explanation:

so we have to cancel one out we'll use u

mutiply top by -2 to everything

add all the numbers and we get -5x=-20 multiple by -1

then divide both sides by 5

x=4 then use that and input it in any of the two beginning equations

x(4) +2y = 10

4 + 2y = 10 -4

-4

2y=6

y=3

Answer:

The answer is 49 if we are to assume you meant 7.11 and not 7,11.

If you meant 7,11 - the answer is 28.5.

Step-by-step explanation:

If we are assuming you meant "7,11" and not "7.11", then we would start by removing the lowest and highest numbers from the list respectively, and repeating the process until you only have 1 or 2 numbers left.

Here are the pairs of numbers removed if we are assuming you meant 7.11;

7.11 / 77

8 / 62

18 / 58

26 / 55

We are left with 49, and that would be your median.

However, if we were to assume you meant 7,11, then we'd have to start over and repeat the process.

7 / 77

8 / 62

11 / 58

18 / 55

26 / 49 is our final answer; however we are not to assume this as we need a definite number. To resolve this, we would need to average the two numbers. To do this, we add them together and divide by how many numbers we added.

26 + 49 = 75.

75 / 2 = 28.5

Your median for this would be 28.5.

Hope this helps! Have a great rest of your day. :)

Answer:

m=49

Step-by-step explanation:

In order to find the median in a string of a values you need to rearrange your values in order from lowest to highest which makes it easier to find the median or middle. Then you need to go down one on each side in till you reach the middle of the values to find your median.

55, 18, 58, 49, 8, 77, 62, 26, 7.11

Rearrange:

7.11, 8, 18, 26, 49, 55, 58, 62, 77

Down one on each side:

7.11, 8, 18, 26, 49, 55, 58, 62, 77

m=49

Hope this helps.

Answer:

P(A) = 0.57 (rounded to two decimal places).

Step-by-step explanation:

The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:

P(red) = number of red marbles / total number of marbles

P(red) = 20/35

We can simplify this fraction by dividing both the numerator and denominator by 5:

P(red) = 4/7

So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.

Therefore, P(A) = 0.57 (rounded to two decimal places).

Answer:

21.4 m

Step-by-step explanation:

Let x represent the sum of the tall metal, medium metal and short metal heights. Since the tall metal has a length of 1.44 m, and the ratio is in 9:8:7, hence:

(9/24) * x = 1.44

x = 3.84 m

For the medium metal pieces:

(8/24) * 3.84 = medium metal height

medium metal height = 1.28 m

For the short metal pieces:

(7/24) * 3.84 = short metal height

short metal height = 1.12 m

Total horizontal metal piece length  = 3 * 1.8 m = 5.4 m

Total tall metal piece length  = 2 * 1.44 m = 2.88 m

Total medium metal piece length  = 5 * 1.28 m = 6.4 m

Total short metal piece length  = 6 * 1.12 m = 6.72 m

Total length of metal = 5.4 + 2.88 + 6.4 + 6.72 = 21.4 m

Answer:

=268 cm²

Step-by-step explanation:

S=(4×10+4×5+5×10)×2×6×4=268cm²

The surface area of the composite figure = the surface area of the bottom cuboid + the flank area of the top Cuboid

The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

  z = (x - μ) / σ

  For 189.7:

  z1 = (189.7 - 189.7) / 96.7 = 0

  For 213:

  z2 = (213 - 189.7) / 96.7 ≈ 0.2417

Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.

  P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939

Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.

To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance

Step 1: Calculate the standard error of the mean (σ_m) using the formula:

  σ_m = σ / sqrt(n)

  σ_m = 96.7 / sqrt(62) ≈ 12.2878

Step 2: Convert the given qualities to z-scores utilizing the equation:

  z = (x - μ) / σ_m

  For 189.7:

  z1 = (189.7 - 189.7) / 12.2878 = 0

  For 213:

  z2 = (213 - 189.7) / 12.2878 ≈ 1.8967

Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.

  P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702

Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

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Answer:

please see answers below

Step-by-step explanation:

In a right-angled triangle, a ² + b ² = c ².

angles in a triangle add up to 180°.

Sine rule:   a/SIN A  =  b/SIN B  =   c/SIN C

angle C = 90° (little square means 90).

if angle A is 30, then angle B must be 180 - 90 - 30 = 60°.

using the Sine rule:

a/Sin A  =  c/Sin C

multiply both sides by Sin A:

a = (c Sin A) / Sin C

= (12 Sin 30) / Sin 90

= 6.

so a = 6.

Using Pythagoras (In a right-angled triangle, a ² + b ² = c ²),

c² = a² + b²

b² = c² - a²

= 12² - 6²

= 144 - 36

= 108

so b² = 108

b = √108

angle B is correct

Step-by-step explanation:

please give me brainlest

The hοle needs tο be 39 inches deeper.

A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.

The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).

Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:

6 feet - 2.75 feet = 3.25 feet

Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:

3.25 feet x 12 inches/1 fοοt = 39 inches

Therefοre, the hοle needs tο be 39 inches deeper.

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Answer:

if the red line is included it is a. if the red line is excluded it is C. I believe.

Answer:

A

Step-by-step explanation:

the equation of the line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = \(\frac{1-3}{0-(-3)}\) = \(\frac{-2}{0+3}\) = - \(\frac{2}{3}\)

the line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = - \(\frac{2}{3}\) x + 1 ← equation of line

the solutions to the inequality lie above the line, including the line, in the shaded area , then

y ≥ - \(\frac{2}{3}\) x + 1 → A

Answer:

im pretty sure its 152, im sorry if im wrong, i took 180 and subtracted 180 - 16 - 12 and got that soooo

Step-by-step explanation:

Answer:

5 for $4.45

Step-by-step explanation:

Answer:

B. principal

Step-by-step explanation: