A wheel has a radius of 45 millimeters. Below is the table from the previous screen. About how many rotations does the wheel make when it travels 100,000 millimeters?

Answer:

y = - 2x + 4

Step-by-step explanation:

the equation of a 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 = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (4, - 4) ← 2 points on the line

m = [tex]\frac{-4-2}{4-1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = - 2x + 4 ← equation of line

2B times as many gallons does pool A hold than pool B.

What is gallons?

The gallon is a volumetric unit that is used in both imperial and American customary measurements.

The imperial gallon (imp gal), which is equal to 4.54609 liters and was once used in various Caribbean nations as well as the United Kingdom, Ireland, Canada, Australia, and Australia.

Given:

Swimming pool A has 2^15 gallons of water.

Swimming pool B has 2^13 gallons of water.

We have to find the number of times pool A hold than pool B.

It is obvious that Swimming Pool A holds more water than Swimming Pool B.

Consequently, we must determine how many times as many gallons Pool A holds as Pool B:

2^15 > 2^13.

Therefore,

A = 2^15,  B = 2^15

[tex]A = (\frac{2^1^5}{2^1^3}) B = 2B\\ A = 2B[/tex]

Hence the proof.

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Con base en el uso de simbología para el acertijo, la edad del conductor es 27 años.

Los acertijos no deben ser entendidos literalmente, sino simbólicamente. Cada elemento representa algo figurativo.

Este acertijo parece incoherente debido a estar incompleto y es preciso añadir un criterio adicional que permita brindar sentido al contenido, este criterio es asumir que un pasajero simboliza un año, que el autobús simboliza al conductor, que el ingreso de un pasajero implica sumar un año a la edad del conductor, que el egreso de un pasajero implica restar un año a la edad del conductor y que la población resultante dentro del autobús es la edad del conductor.

En consecuencia, efectuamos la siguiente operación para determinar la edad del conductor:

x = 56 - 31 + 18 - 16

x = 27

El conductor tiene una edad de 27 años.

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The equation that represents the proportional relationship is y = 14x.

We are given a table. The table contains the values for "x" and "y". The first row contains the data for the variable "x". The values of "x" are 1, 2, and 3. The second row contains the data for the variable "y". The corresponding values of "y" are 14, 28, and 42. We know that the table shows a proportional relationship between the values of "x" and "y". Let the constant of proportionality be represented by the variable "k".

y ∝ x

y = k*x

k = y/x

The value of k must be the same for each corresponding pair of values of "x" and "y".

k = 14/1 = 28/2 = 42/3 = 14

Hence, the equation is y = 14x.

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Answer:

y = 14x.

Step-by-step explanation:

The other ways of rewriting the expression are (xˣ)⁽²⁾ or xˣ²

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

x^(x^2)

Rewrite the expression properly

So, we have the following representation:

x⁽ˣ⁾⁽²⁾

The only ways the above expression can be rewriting the expression is by changing the positions of the brackets or removing the brackets entirely

Other than that, there are no other ways of rewriting the expression

So, we have

(xˣ)⁽²⁾ or xˣ²

Hence, the expressions are (xˣ)⁽²⁾ or xˣ²

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Let the lemonade and fruit be Mixed in x ratio.

[tex]\therefore[/tex] Total mixture of fruit punch [tex]= 1\times x \ + \ 3\times x = 4x[/tex]

She needs to make 35 liters of punch.

Requirement of ingredients :

Fruit juice to be added [tex]= \frac{x}{4x} \times 35 = 8.75[/tex] liters of fruit juice

If 8.75 liters of fruit juice is to be added,

then,

lemonade required[tex]=35\ litres - 8.75\ litres = 26.25\ litres .[/tex]

Now ,

According to question she wants to make more fruit punch,

so , given that she had 2 liters of fruit juice.

Here ,

⇒x become 2.

⇒Lemonade required =[tex]2\times x[/tex]

⇒Lemonade required = [tex]2\times3 = 6\ liters[/tex]

There total fruit punch =  [tex]6 + 3=9\ liters[/tex]

[tex]\therefore\\[/tex] ratio of fruit juice to lemonade in the second batch = 6:9 = 2:3.

What is ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

What is Proportion?

A proportion is an equation in which two ratios are set equal to each other.

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In the word problem, if mike has 40 coins consisting of dimes and quarters and if the dimes were quarters and the quarters dimes, he would have 90 cents more, he has 17 quarters.

A word problem refers to a mathematical exercise where significant information on the problem is given in ordinary language and not mathematical notation.  Let x be the number of dimes (10 cents) and y be the number of quarters (25 cents). Hence, the total number of coins is:

x + y = 40

The amount of the total coins would be 0.1x + 0.25y.

If the dimes were quarters and quarters were dimes, he would have 90 cents more than the amount he has now.

Hence,

0.25x + 0.10y = 0.1x + 0.25y + 0.9

Solving,

0.25x – 0.1x = 0.25y – 0.1y +0.9

0.15x = 0.15y + 0.9

As x + y = 40, x = 40 – y

Substituting,

0.15 (40 – y) = 0.15y + 0.9

6 - 0.15 y = 0.15y + 0.9

0.15y + 0.15y = 6 – 0.9

0.3y = 5.1

y = 5.1/0.3 = 17

Hence, the number of quarters are 17.

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The percent discount given to Suav in the local grocery store is

information given in the problem

The item Suav wants to buy in the grocery store is priced at $21

After the discount, and before tax, the price is $19.53

The discount is found by subtraction as follows

discount = price at the store - price before tax

discount = $21 - $19.53

discount = 1.47

Discount in percent

the problem is discount of the price at the store

percentage deals with a fraction hundred and used as follows

= 1.47/21 * 100

= 7/100 * 100

= 7%

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The triangle does not exist, as the property, the sum of two sides of a triangle is greater than the third side length of the triangle does not hold true.

Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric forms is represented by the symbol △ and consists of three connected vertices. Triangles may be categorized into a number of different varieties according to their sides and angles.

It is a triangle's property that the sum of any two sides of a triangle is greater than the third side.

Here sides given are 3 m, 5 m, 9 m.

Let us add the sides length 3 m and 5 m

3 m + 5 m = 8 m

Compare this with the third-side length of the triangle

8 m < 9 m

So, the property does not hold true.

So, the triangle does not exist.

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Our elevation is 178 feet when the elevation of a sunken ship is 120 feet.

Given, The elevation of a sunken ship is 120 feet.

Your elevation is 58 of the ship elevation.

as it is given that the elevation of a sunken ship is 120 feet and our elevation is 58 of the ship elevation.

So, on using the concept of application of trigonometry we can conclude that our elevation is 58.

As, it is given that our elevation is 58 of the ship elevation.

So, our elevation is 120 + 58 = 178 feet.

Hence, our elevation is 178 feet when the elevation of a sunken ship is 120 feet.

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Stratified random sampling was the technique employed by Homer to choose his sample.

Given case;

Homer Simpson is fascinated with the proportion of the different sprinkled colors on lard lad doughnuts. Homer buys three of each type of donut they produce and counts the sprinkles on them to perform his research.

The method did homer use to select his sample is stratified random sampling. Because each variety is a stratum.

From there 3 3 samples are collected.

Stratified random sampling:

A crucial aspect of the sampling strategy known as stratified random sampling is the stratification of a population into smaller subgroups known as strata. During stratified random sampling, the strata are created based on the shared traits or features of the participants, such as level of education or income. Numerous uses and advantages of stratified random sampling include examining life expectancy and population demography.

The terms proportionate random sampling and quota random sampling are also used to describe stratified random sampling.

The method did homer use to select his sample is stratified random sampling.

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The inequality describing oil and tyre change within 180 minutes is 3x + 4y > 60.

Taking each information seperately followed by summing them for a complete equation.

1 oil change taken amount of time = 9 minutes

So, x oil change will take amount of time = 9x

Similarly, y number of tire changes will take amount of time = 12y

Adding these values to form the equation -

Number of oil and tyre changes in less than 180 minutes

Keep the value of each and symbol for 'less than'

9x + 12y > 180

Dividing the inequality by 3

3x + 4y > 60

Hence, the required inequality is 3x + 4y > 60.

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Answer:I think $1064

Step-by-step explanation:

First you multiply 1/5 by 420 and then add, so 1/5 x 420 = 84 & 420 + 84 = 504. Then you multiply 1/3 by 420 and also add, so 1/3 x 420 = 140 & 420 + 140 = 560. After you add both totals to get your final answer, so 504 + 560 = 1064. Her income each month is $1064.

The solution to the difference 20 4/10 - 3 1/10 is 17 3/10

We have been given two fractions.

20 4/10 and 3 1/10

We need to find the difference 20 4/10 - 3 1/10

First we write improper fraction as a proper fraction.

20 4/10 = 204/10

3 1/10 = 31/10

So, the difference would be,

20 4/10 - 3 1/10

= 204/10 - 31/10

= 173/10

= 17 3/10

Therefore, the solution to the difference 20 4/10 - 3 1/10 is 17 3/10

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Answer:f(x)=10e^4x

Step-by-step explanation:

f(x)=C*e^4x

f(0)=c*e^4.0

10=C*e^4.0

10=C

f(x)=C*e^kx

f(x)=C*e^4x

Answer:

241

Step-by-step explanation:

9 x 12 = 108 m (area of square)

19 x 14 = 266 / 2 = 133 (area of triangle)

108 + 133 = 241

Answer:

Hmm I am not sure, but I think you should try 44 and 26!

Step-by-step explanation:

Reply back if its right :)

Answer:

2. ax=m and ​ay=n​

4. mn=a(x+y)

6. power property of logarithms.

I took the quiz.

k12

i took the quiz this is the right answers

Broccoli and peppers occupy 11/12 of the gardenAs a result, 11/12 of the garden is filled with vegetables.

1,Let's add up those two fractions to determine how much of the entire garden contains broccoli and peppers since we know that 1/4 of the garden has broccoli and 2/3 of the garden contains peppers.

Consequently, 1/ 4 + 2/3 =?

It is necessary for the denominator to match.

Consequently, 1/4 x 3/ 3 = 3 / 12.

2/3 × 4 /4 = 8 / 12

Hence, 3 / 12 + 8 / 12 = 11 / 12

2  ,Amount of flour needed to complete both recipes =2+1/4+1

3,  Baked cake 1 /8 +3/4,

6  , Number of birdhouses to be made / Number of bird houses he usually makes x Meters of wood needed for birdhouses Felipe usually makes

= 54 / 12 x 5¹/₄

= 23 ⁵/₈ meters

7,   24 brownies = 9/2 cups of walnuts

    8 brownies =1 1/2 cups of walnuts

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Answer:

1/100 or just 1

Step-by-step explanation:

$$$$$$$$$$$$$$$$$$$$$$$$

Answer: D

Step-by-step explanation: Proportional relationship = relationships between two variables where their ratios are equivalent. 6:15 is equivalent with both 8:20 and 10:25. So D is the correct answer.

The estimate for the number of cars that are red will be 9450000.

From the information, when Ben sat outside his school in Cambridge and made a note of the colour of the first 100 cars that passed, he found out that 27 of them were red.

Based on the above, the ratio of red cars to total cars is 27:100.

Therefore, if thee are 35 million cars, the red cars will be:

= Ratio of red cars × Total cars

= 27/100 × 3500000

= 9450000

The number of red cards is 9450000.

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The parent spend on their child’s birthday gift is by using 80% confidence level is (43.5, 37.9)

A sample mean is the result of a chance experiment. When we sample a random variable, we get one of its possible values. A sample is a specific value. The random variable's probability distribution determines the possible values and the likelihood of each.

Given that,

Point estimate = sample mean = X = 40.7

sample standard deviation = s = 9.2

sample size = n = 19

Degrees of freedom = df = n - 1 = 19 - 1 = 18

At 80% confidence level

α = 1 - 80%

α =1 - 0.80 =0.2

α/2  = 0.1

t  α/2,df = t0.1,18 = 1.330

The margin of error = E = t /2, df x (s/√n)

= 1.330 x (9.2/√19)

= 1.330 x 2.110

= 2.8

Margin of error = E = 2.8

The 80% confidence interval estimate of the population mean is,

X  ±  E

= 40.7  ±  2.8

= (43.5, 37.9)

Therefore The parent spend on their child’s birthday gift is by using 80% confidence level is (43.5, 37.9)

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The deceleration of the train is -3 ms^-2.

Given:

A train is moving along a Straight track with a speed of 30 ms^-1 when it reaches point A. the driver applies the brakes and the train decelerates at a constant speed until it comes to a stop 150 m from point A

we know that:

v^2 - u^2 = 2as

where

v = 0

u = 30 ms^-1

s = 150 m

0^2 - 30^2 = 2a*150

0 - 900 = 300*a

-900 = 300*a

a = -900/300

a = -3 ms^-2

Negative acceleration is nothing but the deceleration so a = -3 ms^-2.

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Using the concepts of weighting, we got that demographic groups helps in fixing  difference between the levels of different people if there are many or too few people in the sample from that group, compared to the population as a whole.

Demographic segmentation examples actually explain how researchers divide a market into the smaller groups according to age, gender, family income, race and ethnicity, qualification, marital status, nature of the  employment, etc.  

It is an extremely tedious task to the accommodate customers belonging to different demographics and develop the exhaustive marketing plan. Demographic examples ease creating the strategy for a marketer. Thus, they are one of  most commonly implemented marketing segmentation methods compared to the other techniques such as geographic segmentation, behavioral segmentation, or the psychographic segmentation.

Hence, certain demographic groups might end up being under or over-represented means that  there are too many or too few people in the sample from that group, compared to the population as a whole, in that case weighting can therefore potentially helps in fixing the difference in the levels of different people.

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Answer: [tex]\frac{17}{7}[/tex]

Step-by-step explanation:

7x - 3y = 23
3y = -2 × 3 = -6

7x + 6 = 23

7x = 23 - 6

7x = 17

x = [tex]\frac{17}{7}[/tex]

Answer:

10) 6

11) 18

12) 7.1

13) 1.3

Step-by-step explanation:

all you have to do is substitute

10 - 4 = 6

12 + 6 = 18

1.9 + 5.2 = 7.1

3.4 - 2.1 = 1.3