The radius of a wheel is 28cm. How many revolutions will it make in travelling 3.52km?​

The tangent line is a special line that shares a single point of intersection with a given curve.

It is defined as the line that passes through the point of intersection and has the same slope as the curve at the same point. The concept of the tangent line comes from geometry, where it is used to measure a given angle in the form of a slope. In calculus, the tangent line is used to measure the rate of change of a function (or its derivatives) by considering the slope at any single point on the graph.

It is useful for calculating derivatives and integrals. In addition to this, the tangent line can also be used to understand the behaviour of the function in certain areas of the graph, or to determine its general form.

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The enrollment of the school each year after 2000 is a linear function and the equation is f(x) = 1200 + 35x

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

Initial number of students = 1200

Rate of student per year = 35

The above parameters implies that there is a constant increment of 35 students each year since 2000

This means that the scenario is a linear equation

A linear equation is represented as

y = mx + c

In this case, we have

c = Initial number of students = 1200

m = Rate of student per year = 35

Substitute the known values in the above equation, so, we have the following representation

y = 35x + 1200

Hence, the equation is y = 35x + 1200

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Answer:A student pays for 8.9 pounds of apples with a $10 bills. How much change does the student receive?

Step-by-step explanation:

Answer:the answer is 2 dollar

Step-by-step explanation:

Step-by-step explanation:

[tex]-x < 3\\\\-x+x < 3+x\\\\0 < 3+x\\\\0-3 < 3+x-3\\\\-3 < x\\\\Thus,\ x > -3\\\\Hence,\ \\\\-x < 3\equiv x > -3[/tex]

The weekly pay for the employee is $773.5.

Wages are one type of financial reward for workers. They are compensated in accordance with the employee's hours worked.

4.25 hours in the morning plus 4.25 in the evening so 8.5 hours a day and 9(hours in a day) times 7(week) would give say that you work 59.5 hours in a week so 59.5 times 13 is 773.5$ so the answer is that you earn 773.5$ a week.

total hours worked in monday = morning hours  + evening hours

total hours worked in monday = 4.25 + 4.25 = 8.5

In a week there are 7 days.

Thus, The Total hours worked in a week = 8.5 * 7 = 59.5

Total pay per week for the workers = 59.5 * 13 = 773.5

Therefore, The amount worker receives on weekly basis is $773.5.

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full question:

No, the relation is not a function. Because at x = 0, the value of y will be 2 and 1 which is not possible.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

We know that if the number of dependent values is more than one for a given independent value. Then the relation is not a function.

But if the number of dependent values is more than one for a different given independent value. Then the relation is a function.

At x = 0, the value of y will be 2 and 1 which is not possible.

Thus, No, the relation is not a function.

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Answers:

Point A ---------> Answer 2

Point B ---------> Answer 3

Point C ---------> Answer 1

Point D ---------> Answer 4

Step-by-step explanation:

Point A is located on the coordinates (0,8). Option #2 is the only coordinate answer with 0 tomato plants and 8 broccoli plants.

Point B is located on the coordinates (3,2). Option #3 represents the answer of 3 tomato plants and 2 broccoli plants.

Point C is located on the coordinates (6,4). Option #1 and #4 shows the numbers 4 and 6 but the one that represents 6 tomato plants and 4 broccoli plants is Option #1.

Point D is located on the coordinates (4,6). The last option, Option #4 shows 4 tomato plants and 6 broccoli plants.

Hope this helps zenblossom000!

The equation for h(x) is h(x) = -3/x.

This equation can be interpreted as h(x) being equal to the negative reciprocal of x, or -1/x. To find the value of h(4), the equation can be rewritten as h(4) = -3/4, which is equal to -3.

The purpose of this equation is to take a value of x and find the negative reciprocal of the value. The equation is defined for all x that cannot equal 0, because division by 0 is undefined. The equation is useful because it gives a numerical value of the negative reciprocal of a given number. For example, the equation can be used to find the negative reciprocal of 4, which would be -3.

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By property of SAS ΔSPJ ≅ΔKRQ and thus SJ≅QK

Theorem  side-angle-side (SAS) theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Given here, PJ=RK and SP=RQ , ∠R=∠P ∵ since PQRS is a parallelogram

Thus by SAS property  ΔSPJ ≅ΔKRQ

Hence, By property of SAS ΔSPJ ≅ΔKRQ and thus SJ≅QK

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If Victoria has six sevenths of a pizza and she eats one fourth of it for dinner , then Victoria eat 3/14 of pizza for the dinner .

The Fraction of pizza that Victoria has  = 6/7 of pizza ,

the fraction of pizza that Victoria eats in the dinner = 1/4 of pizza that she has ,

So , the amount of pizza that Victoria eats for the dinner can be calculated as = (1/4) × (6/7)

= 6/(4×7)

= 6/28

On simplifying the fraction ,

we get ,

= 3/14 .

Therefore , Victoria eats 3/14 of the pizza for the dinner .

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Victoria ate one fourth, or 1/4, of the pizza for dinner. That is equation to 1/4 of 6/7 of a pizza, which is 3/14 of a pizza.

6/7 of a pizza

= 6/7 x 1

1/4 of 6/7 of a pizza

= 6/7 x 1/4

3/14 of a pizza

= 6/7 x 1/4

So, Victoria ate 3/14 of a pizza for dinner.

Victoria had six sevenths of a pizza, which is equivalent to 6/7 of a pizza. She ate one fourth, or 1/4, of it for dinner. To calculate how much pizza Victoria ate for dinner, we first need to convert 1/4 of 6/7 of a pizza into a fraction. We can do this by multiplying 6/7 and 1/4 together. The answer is 3/14 of a pizza. This means that Victoria ate 3/14 of a pizza for dinner.

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Answer:-15+.2

Step-by-step explanation:

The sequence aₙ = {(4 + 3n²)/(n + 5n²)} converges to 3/5.

A value of the function, whenever the input values are substituted in the function then the function approaches some number.

And that number is a limit of the function.

Given:

A sequence,

aₙ = {(4 + 3n²)/(n + 5n²)}

To find the limit at n tends to infinity:

[tex]\lim_{n \to \infty} a_n = \frac {(4 + 3n^2)}{(n + 5n^2)}[/tex]

                 = n²(4/n² + 3)/n²(1/n + 5)

                 = (4/n² + 3)/(1/n + 5)

Now, if n tends to infinity,

then [tex]\lim_{n \to \infty} a_n[/tex] = 3/5

Therefore, 3/5 is the limit of the sequence.

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The sum of the first 100 terms of the sequence is $620$.

[tex]$s_3 = 4 + 7 = 11$[/tex]

[tex]$s_4 = 11 + 1 = 12$[/tex]

[tex]$s_5 = 12 + 8 = 20$[/tex]

[tex]$s_6 = 20 + 9 = 29$[/tex]

[tex]$s_7 = 29 + 7 = 36$[/tex]

[tex]$s_8 = 36 + 6 = 42$[/tex]

[tex]$s_9 = 42 + 4 = 46$[/tex]

[tex]$s_{10} = 46 + 7 = 53$[/tex]

[tex]$s_{100} = 620$[/tex]

The given sequence is 4, 7, 1, 8, 9, 7, 6 and so on. The nth term of the sequence is the units digit of the sum of the two previous terms. To find the sum of the first 100 terms, we need to calculate the sum of the first two terms, 4 and 7. This is 11. The next term is the units digit of 11, 1. The sum of the first three terms is 12. The next term is the units digit of 12, which is 2. This process is repeated until we reach the 100th term. The sum of the first 100 terms is 620.

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The critical value for the test would be +/- 1.984

The critical value for a two-tailed t-test with a significance level of 0.05 and degrees of freedom of 99 is the value beyond which we can reject the null hypothesis. This means that if the test statistic (t-value) is greater than or less than this critical value, we can conclude that the null hypothesis is not true and the alternative hypothesis is more likely to be true.

To find the critical value, we can use a t-distribution table or a calculator with t-test functionality. We input the desired significance level (0.05), the degrees of freedom (99), and the type of test (two-tailed). The resulting value is the critical value for this test.

In this case, the critical value for the test would be +/- 1.984. This means that if the t-value calculated from the sample data is greater than 1.984 or less than -1.984, we can reject the null hypothesis and conclude that the mean foam height is not equal to 175 mm. If the t-value is between these two values, we cannot reject the null hypothesis and cannot conclude that the mean foam height is different from 175 mm.

Complete Question

A consumer products company is formulating a new shampoo and is interested in foam height (in mm). foam height is approximately normally distributed and has a standard deviation of 20 mm. the company wishes to test h0: μ = 175 mm versus h1: μ ≠ 175 mm. the company plans to use a sample of 100 shampoo bottles and conduct a two-tailed t-test with a significance level of 0.05. what is the critical value of this test?

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If the sample average is = 185, the p value would be 0.057

In this question we have been given a company is formulating a new shampoo and is interested in foam height (in mm).

Foam height is approximately normally distributed and has a standard deviation of 20 mm.

The company wishes to test H0: μ = 175 mm

versus H1: μ > 175 mm, using a random sample of n = 10 samples

We need to find the p-value if the sample average is = 185.

we first compute the z-score.

We know that the formula for the z-score is:

z = (x{bar} - μ)/(σ/√N)

Here, x{bar} = 185

μ = 175

σ = 20

N = 10

so, z = (185 - 175)/(20/√10)

z = 1.5811

From the standard noram table, a p-value associated to z = 1.5811 is:

p = 0.0569

p = 0.057

So the p-value is  0.057

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The complete question is:

A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately normally distributed and has a standard deviation of 20 mm. The company wishes to test H0: μ = 175 mm versus H1: μ > 175 mm, using a random sample of n = 10 samples.(a) Find P-value if the sample average is = 185? Round your final answer to 3 decimal places.

The set of calculations could be used to convert her speed to miles per hour is 3.628[tex]miles hr^{-1}[/tex].

There are times when the units used for the measurement do not match the measurement preference and convenience as well as the standards prescribed for certain processes and applications. Converting such units to an extent that it can be understood directly and applied properly is important. To better understand the statement, let us consider the example of a person who is only familiar with the metric system. The person cannot easily figure out the height of a tree measuring 25 feet. Converting 25 feet to metres will help the person better understand the height of the tree. Let us learn unit conversions with the help of a unit conversion table. In this article, we have provided different units of conversion used for the measurement of different parameters.

1m= 3.281 feet

1mile = 5280 feet

Speed = [tex]\frac{1500m}{15.42min}[/tex] = [tex]\frac{1500*3.281 feet}{15.42*\frac{1}{60hr} }[/tex]

Speed= [tex]\frac{1500*3.281}{15.42*\frac{1}{60hr} } *\frac{1miles}{5280}[/tex]

Speed= [tex]\frac{1500*3.281*60}{15.42*5280 } *miles hr^{-1}[/tex]

Speed= 3.628[tex]miles hr^{-1}[/tex]

The set of calculations could be used to convert her speed to miles per hour is 3.628[tex]miles hr^{-1}[/tex].

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If a swimmer finished 1500-meter freestyle in 15.42 minutes, her speed is 3.6 miles per hour.

To convert the swimmer's speed to miles per hour, we need to first convert the distance she swam (1500 meters) to miles, and then we need to convert the time it took her to swim that distance (15.42 minutes) to hours.

We can use the following set of calculations to do this:

Convert the distance from meters to miles:

1500 meters × (3.281 ft / 1m) × (1 mile/ 5280 ft) = 0.93 miles

Convert the time from minutes to hours:

15.42 minutes × (1 hour / 60 minutes) = 0.257 hours

Divide the distance by the time to find the speed in miles per hour:

0.93 miles / 0.257 hours = 3.6 miles per hour

This is one set of calculations that can be used to convert the swimmer's speed to miles per hour.

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To reflect a point over the x-axis, we need to negate the y-coordinate. So the reflections of points J, K, and L over the x-axis are:

J'(2,4)

K'(3,-7)

L'(6,1)

Note that the x-coordinates are unchanged because the x-axis is the line of reflection.

Answer: 30°

Step-by-step explanation:

The properties of an isosceles triangle tells us that there are two different angle values. We can get the equation:

2x+120=180              [subtract both sides by 120]

2x=60                       [divide both sides by 2]

x=30

Another approach is to use logic to narrow down out answers. There are 3 angles in an isosceles triangle. Since they only gave 1 angle, then the remaining 2 must be the same, hence the 2x.

Answer:

6

Step-by-step explanation:

Dividing 100 cans by the 15 cans per crate yields an answer of 6 completely filled crates.

The challenge 8s can be solved by breaking down the problem into smaller parts and then finding a solution that addresses each part. This can be done by analyzing the situation, breaking it into components, and then finding an appropriate solutions for each component.

The challenge 8s can be solved by breaking down the problem into smaller parts and then finding a solution that addresses each part. To do this, you need to analyze the situation to identify the components of the challenge. Once you have identified the components, you can break them down into smaller, more manageable parts. For each part, you need to determine the best possible solution that will address the issue. You can consider different strategies, such as brainstorming, trial and error, and research. Once you have identified a suitable solution for each component, you can combine them together to form a complete solution for the challenge 8s. If necessary, you can adjust the solutions to ensure that they fit together and address all the components of the challenge.

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answer

bottom left

1 input gives 1 output

vertical line moves across the graph & touches the graph at only one point so graph is a function

steps

top left is vertical because it has no slope

ecampusontario.pressbooks.pub

brightstorm

The expression is 9 (3s) + 2 (-t) is solved to give a value of -82

The given expression 9(3s) + 2 (-t) in the problem is solved by substitution of the given values.

substitution involves replacing a quantity with another equivalent quantity aimed at maintaining a true equation.

The given values are :

9 * (3s) + 2 (-t)

s = 1/2

t = -3

substituting the given values we have:

= 9(3s) + 2 (-t)

= (9 * (3 * -3)) + 2 * (- 1/2)

= 9 * (-9) + (-1)

= - 81 - 1

= -82

The solution of the equation is - 82

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The probability that exactly one 6 is rolled is 42.9%

Rolling a six-sided dice and an eight-sided die can yield a variety of results. The probability of rolling exactly one 6 out of the two dice is 6/14, or approximately 42.9%.

This is calculated by taking the total number of ways to roll one 6 (6) and dividing it by the total number of combinations possible (14). This means that there is a 42.9% chance of rolling one 6 when two dice are rolled.

The probability will be calculated by:

6/14

= 0.429

0.42× 100

=42.9

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The completed table and the y values of the rental car company would be:

The correct meaning of the y - intercept is A. The y - intercept is the amount that a customer will pay before the charge for the miles driven is added.

When given an x value of 10, the y value is:

= 35 + 0.4 m

= 35 + 0.4 (10 )

= $ 39

X value of 30 :

= 35 + 0. 4 ( 30 )

= $ 47

X value of 50 :

= 35 + 0. 4 ( 50 )

= $ 55

X value of 75 :

= 35 + 0. 4 ( 75 )

= $ 65

X va,ue of 100 :

= 35 + 0. 4 ( 100 )

= $ 75

The y - intercept is the amount that the customer is charged before they are charged per miles driven.

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Answer:

The answer would be D since the y intercept is at -5 and the slope it's 3/2

First, you have to divide 8 by 5 (you always divide the bottom from the top) which equals 1.6

answer:1.6

hope that helped!

The system of equation is written to be $58 + $16x = $68 + $14x

the expenditure and the pay will both be $218

the number of hours of work is 5 hours

Let the number of hours of work be x

information from the problem

Ernest spent $58 on equipment and hired a server who makes $16 per hour

$58 + $16x

Ernest is hoping to make up these expense at the next job that is scheduled, which pays a base of $68 in addition to $14 per hour

$68 + $14x

In theory, this event could pay enough to cancel out Ernest's expenditures. hence it will be equated, the expenditure =  pay

$58 + $16x = $68 + $14x

16x - 14x = 68 - 58

2x = 10

x = 5

the expenditure =  pay,

$58 + $16x

= $58 + $16 * 10

= $58 + $160

= $218

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The polynomial is x²  + 5x + 4 = 0 which has the least degree two with roots -1 and -4.

Polynomial is an algebraic expression that has more than two terms. In other words, it is a combination of different variables with mathematical operations.

Given that,

The roots of the polynomial are -1 and -4,

And leading coefficient of the polynomial is 1.

There are, two roots of the polynomial, so the maximum degree can be equal to 2 or grater than 2.

Let the standard equation of the polynomial is,

ax² + bx + 1 = 0        (1)

Substitute x = -1 in equation (1),

a(-1)²  + b(-1) + 1 = 0

a - b + 1 = 0     (2)

Again substitute x = -4 in the equation (1),

a(-4)² b(-4) + 1 = 0

16a - 4b + 1 = 0    (3)

By solving equation (2) and (3),

The value of a is 1/4 and the value of b is 5/4.

So, the required polynomial,

1/4x²  + 5/4 x + 1 = 0

x²  + 5x + 4 = 0

Hence, x²  + 5x + 4 = 0 is the required polynomial.

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The points of answers are given as following.

Unit rate is the amount of one quantity for a unit amount of the other quantity.

(a) The point (4, 6) represents that cost of buying 4 scoops of gelato is $6.

(b) Cost of buying 4 scoops of gelato = $6

Cost of buying 1 scoop of gelato = 6 / 4 = $1.5

So the unit rate is $1.5 per scoop.

(c) Cost of 12 scoops = 12 × 1.5 = $18

(d) We have two points so far (1, 1.5) and (4, 6)

Slope = (6 - 1.5) / (4 - 1) = 1.5

Slope is the inclination of the line of the graph.

If the unit rate = $1.75 per scoop, then the slope of the line changes to 1.75 instead of 1.5.

Hence it is solved.

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The frequency information of two categorical variables is shown using a two-way table, commonly referred to as a contingency table.

In this question, we have to organise the given information into a two-way frequency table.

let's first try to understand what is two-way frequency table.

A statistical table called a two-way or contingency table displays the observed quantity or frequency for two variables, with the rows denoting one category and the columns denoting the other.

In this case, In rows we have Major or not Major in the column we have practised or not practised.

We can glean a lot of knowledge from this short table. Let's have a look at a few test-relevant questions.

After solving using two-way frequency we got the result like

Have a Major total value = 10

Do not have a Major total value = 3

Practised for at least 10,000 hrs = 10

Do not practise for at least 10,000 hrs = 3

For further information, an image is included.

Given Question is incomplete complete the Question here:

Manon knows the following information about a group of 13 professional golfers:

9 golfers have both practised for at least 10,000 hours and won a major.

10 golfers in total have practised for at least 10,000 hours.

10 golfers in total have won a major.

Can you help Manon organize the results into a two-way frequency table?

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There are no golfers that have both practiced for 10,000 hours and won a major.

From the given information, we can determine the number of golfers that have both practiced for 10,000 hours and won a major. To do this, we can use the formula X = A + B - C, where X is the number of golfers that have both practiced for 10,000 hours and won a major, A is the number of golfers that have practiced for 10,000 hours, B is the number of golfers that have won a major, and C is the number of golfers that have both practiced for 10,000 hours and won a major.

Substituting the given values into the formula, we can calculate the number of golfers that have both practiced for 10,000 hours and won a major:

X = 999 + 1010 - 131313

X = 2008 - 131313

X = -131315

Since the number of golfers that have both practiced for 10,000 hours and won a major is negative, we can conclude that there are no golfers that have both practiced for 10,000 hours and won a major.

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The difference between X1 and x1 is defined as A: "X1 is a random variable, while x1 is a particular numerical value".

A random variable refers to a variable whose value is not known or a function that assigns numerical values to each of the outcomes of an experiment. On the other hand, a numerical value is a number that represents a single unit or only entity. So as per the question's context X1 refers to a random variable, while x1 refers to a particular numerical value. So option 'A' is the correct answer.

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