At the carnival,the ratio of people who won the ring toss game to lost was 8:5.if 24 people won,how many people would have lost?

The length of the arc made by the big hand if the tip travels from 6:00pm to 6:20pm is 0.52 feet

An equation is an expression that shows the relationship between two or more variables and numbers.

The clock reads 12 hours (720). The angle if the tip travels from 6:00pm to 6:20pm (20 minutes) is:

Ф = (20/720) * 360 = 10°

The length of the arc is given as:

Length of arc = (Ф/360) * 2π * length of hand = (10/360) * 2π(3) = 0.52 feet

The length of the arc made by the big hand if the tip travels from 6:00pm to 6:20pm is 0.52 feet

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Answer:

  20%

Step-by-step explanation:

You want the percentage growth from $125,000 to $150,000.

The percentage change is found from ...

  % change = ((new value)/(old value) -1) × 100%

  % change = (150000/125000 -1) × 100% = (1.2 -1) × 100%

  % change = 0.2 × 100% = 20%

The sales growth is 20%.

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Answer:

77 years old

Step-by-step explanation:

We can set the first point of our zip line as follows:

(x₁ , y₁ , z₁) = (0, 0, 46)

So the end of the zip line would be:

(x₂ , y₂ , z₂) = (45, 25, 39)

Now let's use the given distance formula to solve this problem:

Answer:

7.63*10^5

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

Answer:

i think its A i may be wrong

The answers are :

a) The derivative of this function at the point (3,256) is -96.

b) The speed at which the supply bundle is falling is negative.

What is derivative ?

Derivative is the slope of the graph of function or the slope of the tangent line at a point.

A function is given which is h(t) = 400 - 16t².

Here , h(t) gives the height of the supply bundle in feet , t seconds after it is dropped from a height of 400 feet.

a)

We have to find out the derivative of the given function at a point (3,256).

h'(t) = \(\frac{d}{dt}\) (400 - 16t²)

h'(t) = 0 - 2 × 16 × t

h'(t) = -32 t

This function at (3,256) so , value of t is 3.

h'(t) = -32 × 3

h'(t) = -96

b)

Speed = -32 t

So , the speed at which the supply bundle is falling is negative. With increase in value of t it will keep decreasing.

Therefore , the answers are :

a) The derivative of this function at the point (3,256) is -96.

b) The speed at which the supply bundle is falling is negative.

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Answer:

Step-by-step explanation: It would look like this

7.3% x 2= 0.146

Then:

0.146 + p = ?

1. The values of x, y, and z are x = 15.5, y = 9.54, and z = 0. 2. The values of x and y are x = 1.4375 and y = 8. 3. The values of x and y are x = 6 and y = 52.5. 4. X can have any value and the triangles will still be similar

1. We are given that ΔPRS is congruent to ΔCFH.

From ΔPRS, we know that:

∠P = 180 - 28 - ∠R

∠P = 152 - 13y

From ΔCFH, we know that CH is the hypotenuse and CF is one of the legs. So, using the Pythagorean Theorem, we have:

CH^2 = CF^2 + FH^2

39^2 = 24^2 + FH^2

FH^2 = 39^2 - 24^2

FH = sqrt(39^2 - 24^2) = 30

Since ΔPRS is congruent to ΔCFH, their corresponding sides are equal. Therefore:

PS = CH = 39

2x - 7 = CF = 24

Solving for x and y:

2x - 7 = 24

2x = 31

x = 15.5

39 = 2x - 7

46 = 2x

x = 23

∠P = 152 - 13y

28 = 152 - 13y

124 = 13y

y = 9.54

Solving for z:

PS = 2x - 7

39 = 2(15.5) - 7

39 = 31

z = 0

Therefore, the values of x, y, and z are x = 15.5, y = 9.54, and z = 0.

2. We are given that ΔABC is similar to ΔDEF. Therefore, the corresponding sides are proportional:

AB/DE = BC/EF = AC/DF

Substituting the given values:

8/(y-6) = 19/(4x-1) = 14/DF

We can solve for x and y using any two of the three ratios.

Let's first solve for x and y using the first two ratios:

8/(y-6) = 19/(4x-1)

Cross-multiplying, we get:

8(4x-1) = 19(y-6)

Expanding the brackets, we get:

32x - 8 = 19y - 114

32x - 19y = -106

Now let's use the third ratio:

14/DF = 8/(y-6)

Cross-multiplying, we get:

14(y-6) = 8DF

Simplifying, we get:

y = (4/7)DF + 6

Substituting this into the equation we got earlier:

32x - 19y = -106

32x - 19[(4/7)DF + 6] = -106

32x - (76/7)DF - 114 = -106

32x - (76/7)DF = 8

Multiplying both sides by 7, we get:

224x - 76DF = 56

Using the equation we got from the third ratio:

14(y-6) = 8DF

14y - 84 = 8DF

14y = 8DF + 84

y = (4/7)DF + 6

Substituting this into the equation we just got:

14[(4/7)DF + 6] = 8DF + 84

8DF + 84 = (56/7)DF + 84

8DF = (56/7)DF

DF = 7

Substituting DF = 7 into the third ratio:

14/DF = 8/(y-6)

14/7 = 8/(y-6)

2 = y-6

y = 8

Now we can substitute y = 8 into the equation we got earlier:

32x - 19y = -106

32x - 19(8) = -106

32x - 152 = -106

32x = 46

x = 1.4375

Therefore, the values of x and y are x = 1.4375 and y = 8.

3. Since ΔZMK ≈ ΔAPY, we know that the corresponding angles are congruent:

m∠M = m∠A

m∠K = m∠Y

Therefore, we can write two equations:

m∠M = 2y + 7

m∠K = 41°

Also, we know that:

m∠M + m∠K + (13x - 37)° = 180°

Substituting the values we have:

112° + 41° + (13x - 37)° = 180°

13x + 116 = 180

13x = 64

x = 4.9231

Substituting x into the third equation:

112° + 41° + (13x - 37)° = 180°

13x + 116 = 180

13(4.9231) + 116 + m∠K = 180

m∠K = 41°

Substituting m∠K = 41° into the second equation:

m∠K = m∠Y

13x - 37 = 41

13x = 78

x = 6

Substituting x into the first equation:

m∠M = 2y + 7

112 = 2y + 7

105 = 2y

y = 52.5

Therefore, the values of x and y are x = 6 and y = 52.5.

4. Since ΔBTS ≈ ΔGHD, we know that the corresponding angles are congruent:

m∠S = m∠H

m∠B = m∠G

Therefore, we can write two equations:

m∠S = 7y + 5

m∠B = m∠G = 21°

Also, we know that:

m∠B + m∠T + m∠S = 180°

Substituting the values we have:

21° + m∠T + 56° = 180°

m∠T = 103°

Now we can use the fact that the sum of the angles in a triangle is 180° to find m∠G:

m∠B + m∠T + m∠G = 180°

21° + 103° + m∠G = 180°

m∠G = 56°

Since we have a pair of similar triangles, we can use their side lengths to set up a proportion:

BS/BT = GD/GH

Substituting the given values:

25/31 = (4x-11)/GH

Solving for GH:

GH = (31/25)(4x-11)

Now we can use the fact that the sum of the angles in a triangle is 180° to find m∠H:

m∠G + m∠H + m∠D = 180°

56° + m∠H + 90° = 180°

m∠H = 34°

Substituting the values we have:

m∠S = 7y + 5

56 = 7y + 5

51 = 7y

y = 7.2857

Substituting y into the first equation:

m∠S = 7y + 5

m∠S = 7(7.2857) + 5

m∠S = 59

Now we can use the fact that the sum of the angles in a triangle is 180° to find m∠T:

m∠B + m∠T + m∠S = 180°

21° + m∠T + 59° = 180°

m∠T = 100°

Now we can use the fact that we have a pair of similar triangles to find x:

BS/BT = GD/GH

25/31 = (4x-11)/GH

25/31 = (4x-11)/((31/25)(4x-11))

Simplifying:

25/31 = 25/31

Therefore, x can have any value and the triangles will still be similar.

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There probability are 17,576,000 different ways to arrange the 26 letters of the alphabet so that the vowels a, e, I o, and u never appear back-to-back.

There are 21 consonants and 5 vowels (a,e,i,o,u) (all other letters).

The vowels can be arranged in 5! = 120 different ways.

The consonants can be arranged in 21! = 5,109,400,800 different ways.

The product of the two integers is 17,576,000, which is the total number of possible arrangements for all letters.

26 letters make up the alphabet, and 5 of them are vowels (a,e,i,o,u). We must determine how many ways there are to organize the vowels and consonants before we can determine how many ways there are to arrange the letters so that no two vowels appear consecutively.

There are 5! = 120 different ways to order the vowels. This is due to the fact that there are 5 vowels that must be grouped in various ways. Since there are 21 consonants that can be arranged, there are 21! = 5,109,400,800 different combinations that can be made. The product of the two integers is 17,576,000, which is the total number of possible arrangements for all letters.

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Answer:

861.56 km2

Step-by-step explanation:

the formula for the area of a trapazoid is

a= (a+b/2) + h

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

In the year 1985, the number of US billionaires was 13, and in 1990, the number was 99. The yearly increase is constant. The number of US billionaires in year t.f(t) = f(1985) + (t − 1985) × slope. Thus, this is the required formula that predicts the number of US billionaires in year t.

Let's find the difference between these years by using the formula for the slope (rate of change) of a straight line.

slope =\((y2 − y1) / (x2 − x1)\)

For the given two points, (1985, 13) and (1990, 99), the slope is:

slope = (99 − 13) / (1990 − 1985)

slope = 86 / 5 slope = 17.2

The slope (17.2) is the number of billionaires that are increasing every year. It means that the increase of the number of billionaires in the US every year is 17.2.

Now, we have to find a formula predicting the number of US billionaires in year t.

Let f(t) be the number of US billionaires in year t.f(t) = f(1985) + (t − 1985) × slope

Putting the given values in this formula:f(t) = 13 + (t − 1985) × 17.2

Thus, this is the required formula that predicts the number of US billionaires in year t.

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Answer:

i dont know

Step-by-step explanation:

Answer:

maybe since the rhombus is divided into triangles it'll be easier. x = 8

Step-by-step explanation:

the total degrees in a triangle would be 180 and the inner little angles would be 90 degrees so you would solve for (7x - 1) + (4x + 3) + 90 = 180 so 11x + 2 = 90 so 11x = 88 so x = 8

hope this helps!

This indicates that after accounting for the inflation rate of 7%, the purchasing power of the $1,000 investment decreased by approximately 1.92%.

The real rate of return represents the rate of return adjusted for inflation, which reflects the purchasing power of the investment. To calculate the real rate of return, we subtract the inflation rate from the nominal interest rate.

In this case, the nominal rate of interest is 5 percent, but prices have actually risen by 7 percent, indicating an inflation rate of 7 percent. Therefore, the real rate of return can be calculated as follows:

Real rate of return = Nominal interest rate - Inflation rate

Real rate of return = 5% - 7%

Real rate of return = -2%

The negative sign indicates that the purchasing power of the investment has decreased. To express the real rate of return as a positive value, we take the absolute value, resulting in approximately 2%. Therefore, Gladys earned a real rate of return of approximately -2% or -1.92% (rounded to two decimal places).

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Answer:

The position of the concrete relative to its initial position is 4ft behind its initial position

Step-by-step explanation:

Let us analyze the problem following the sequence of events.

First of all, the crane is initially 7 ft from the back of the truck.

Once the truck drives away, the crane lowers the concrete at 11 ft away from the back of the truck.

To get this distance relative to the initial position, we have to subtract the initial position from the final position of the concrete.

This will  be

11ft - 7ft = 4 ft

The position of the concrete relative to its initial position is 4ft behind its initial position

A important goal of inferential statistical analysis is to generalize results from the study to the target population (option c).

An important goal of inferential statistical analysis is to generalize the findings and results obtained from a study or sample to the larger target population. Inferential statistics involves making inferences, drawing conclusions, and making predictions about a population based on the analysis of a sample.

When conducting a study, it is often impractical or impossible to collect data from the entire population of interest. Instead, a sample is typically selected and studied. Inferential statistics helps researchers make inferences about the population based on the sample data.

By analyzing the sample data using inferential statistical techniques, researchers can estimate population parameters, test hypotheses, determine the significance of findings, and make predictions about the larger population. This allows for generalization of the findings and helps in making informed decisions and drawing conclusions that extend beyond the specific sample studied.

Options A, B, and D are also important goals in statistical analysis, but they are not specific to inferential statistics. Analyzing and describing data (option A) is a goal of descriptive statistics. Determining the validity of theoretical constructs (option B) and measuring the reliability and validity of measurement tools (option D) are goals related to assessing the quality and soundness of research instruments and constructs, but they do not specifically address the goal of generalizing results to a larger population. The correct option is c.

The complete question is:

An important goal of inferential statistical analysis is to:

A. analyze and describe data collected during a study.

B. determine whether theoretical constructs are valid.

C. generalize results from the study to the target population

D. measure the reliability and validity of measurement tools

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Answer:

i dont know

Step-by-step explanation:

But i think it is 10/1 20/2 and 60/6

I dont do slopes in Math but by the power of observation I beileve I have figured it out    

Answer:

1/10 2/20

Step-by-step explanation:

Those are the answers hope this helped.

The approximation of the integral \(\(\int_{0}^{\frac{\pi}{2}}2\cos^3x \, dx\)\) using the Midpoint Rule with n = 4 is approximately 1.0468.

To approximate the integral using the Midpoint Rule with n = 4, we need to divide the interval [0, π/2] into 4 subintervals of equal width and evaluate the function at the midpoint of each subinterval. Then we multiply the function value at the midpoint by the width of each subinterval and sum up the results.

The width of each subinterval is given by Δx = (b - a) / n, where a and b are the endpoints of the interval and n is the number of subintervals. In this case, a = 0, b = π/2, and n = 4, so Δx = (π/2 - 0) / 4 = π/8.

Now let's find the midpoint and evaluate the function at each midpoint:

For the first subinterval (0, π/8), the midpoint is x₁ = (0 + π/8) / 2 = π/16.

Evaluate the function at x₁: f(x₁) = 2cos³(π/16).

For the second subinterval (π/8, π/4), the midpoint is x₂ = (π/8 + π/4) / 2 = 3π/16.

Evaluate the function at x₂: f(x₂) = 2cos³(3π/16).

For the third subinterval (π/4, 3π/8), the midpoint is x₃ = (π/4 + 3π/8) / 2 = 5π/16.

Evaluate the function at x₃: f(x₃) = 2cos³(5π/16).

For the fourth subinterval (3π/8, π/2), the midpoint is x₄ = (3π/8 + π/2) / 2 = 13π/32.

Evaluate the function at x₄: f(x₄) = 2cos³(13π/32).

Now we can use the Midpoint Rule formula to approximate the integral:

Approximation ≈ Δx * [f(x₁) + f(x₂) + f(x₃) + f(x₄)]

Substituting the values we found:

Approximation ≈ (π/8) * [2cos³(π/16) + 2cos³(3π/16) + 2cos³(5π/16) + 2cos³(13π/32)]

Now we can calculate this approximation to four decimal places using a calculator or software.

Apologies for the incomplete response. Let's calculate the approximation using the Midpoint Rule formula:

Approximation ≈ (π/8) * [2cos³(π/16) + 2cos³(3π/16) + 2cos³(5π/16) + 2cos³(13π/32)]

Now we can calculate this approximation using a calculator or software:

Approximation ≈ (π/8) * [2cos³(π/16) + 2cos³(3π/16) + 2cos³(5π/16) + 2cos³(13π/32)]

≈ (π/8) * [2(0.9330) + 2(0.3830) + 2(0.0179) + 2(0.0001)]

≈ (π/8) * [1.8660 + 0.7660 + 0.0358 + 0.0002]

≈ (π/8) * 2.6678

≈ 0.3335π

Approximation ≈ 0.3335 * 3.1416

≈ 1.0468

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Answer:

4 hours      

Step-by-step explanation:

Big time ski mountain charges $5 per hour plus $50 insurance.

Powder hills charges $10 per hour plus $30 insurance.

Let the number of hours be x.

For big time ski mountain, it means the total cost of x hours of lesson is:

\(B=50+5(x)\\B=50+5x\)

For powder hills , it means the total cost of x hours of lesson is:

\(P=30+10(x)\\P=30+10x\\\)

We  need to equate both equations to find the time that the costs would be the same.

That is :

\(50+5x=30+10x\)

Collect like terms:

\(10x-5=50-30\\5x=20\)

Divide through by 5:

\(x=\frac{20}{5} \\x=4 hours\)

It would take 4 hours for the cost of the lessons to be the same.

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The equivalent expression for the given terms is 0.6x+12y - 18.2 = 0.

According to the statement

We have to find the equivalent expression for the given equations.

So, For this purpose, we know that the

Equivalent expressions are expressions that work the same even though they look different.

Fro another expression compare both the equations to each other.

So, From the given information:

-(-0.3x-6y+9.1)  = (−0.3x−6y+9.1)

Then compare it then

0.3x +6y -9.1 +0.3x+6y-9.1 = 0

then after solving it then

0.6x+12y - 18.2 = 0.

this is the equivalent expression for the given terms

So, The equivalent expression for the given terms is 0.6x+12y - 18.2 = 0.

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The fries costs $1.49

Addition in math is a process of combining two or more numbers.

Given that, Keith ordered a hamburger for $2.25, a medium raspberry ice tea for $1.25, and a small sundae for  $1.25. He also ordered French fries. All of these items totalled $6.24.

Let the price of fries be x,

Therefore,

$2.25 + $1.25 + $1.25 + x = $6.24

$4.75 + x = $6.24

x = $6.24 - $4.75

x = $1.49

Hence, the fries costs $1.49

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Answer:

Y=-x+7

Step-by-step explanation:

y=x-1

Perpendicular = slope of -1

At x=0, y=7

Therefor the answer is

y=-x+7

\(\huge{ \mathbf{  \underline{ Answer }\:  \:  ✓ }}\)

The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .

Given terms ( common for each cylinder ) :

\( \large \boxed{ \mathrm{volume =\pi {r}^{2} h}}\)

Since volume of each cylinder is equal, so total volume of six cylindrical post :

_____________________________

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The given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.

Let the domain of the relation is car(x) belongs to 2015 , 2016, 2017, 2018, 2019, 2020

To prove equivalence relation, we need to prove reflexive, symmetric, transitive properties.

Reflexive relation: x is related to x

Here car(x) is made in 2015, so, car(x)) is in R where R is reflexive relation.

Symmetric relation: x is related to y implies y is related to x

Here (car(x) , car(y)) is in R , i.e car(x) and car(y) are made in same year. R obeys symmetric property

Transitive property: x is related to y and y is related to z then x is related to z. Here (car(x),car(y)), (car(y), car(z)) is in R. Therefore (car(x) , car(z)) is in R

Therefore, the given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.

B. The cars which are made in the same year are in one equivalence class all cars are made in overall 6 years. We get 6 equivalence classes. These classes are partitions, so we have six partitions

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Answer:

Step-by-step explanation:

?

Answer:

C

Step-by-step explanation: