An orange is rolled on the floor in a straight line from one person to another person. The orange has a radius of 4 cm and there is a fixed point P located on theorange. Let the person rolling the orange represent the origin. Find parametric equations in terms of describing the cycloid traced out by P.AnswerKeypadKeyboard Shortcuts

Step-by-step explanation:

1. 45/5 = 9

2. 53 is not a multiple of 5

3. 164 - 20 = 144

4. 372 rounded is 400.

5. 5 edges

6. 382 + 200 = 582

7. 6500 meters

8. -6

9. 65 cm

10. 90/2 = 45

11. idk since i live in us

12. 8 * 3 = 24

13. July 30th

14. 6

15. 28

16. 2.5 * 3 = 7.50

If the relation is represented by the equation y = 2x + 1, the domain would be all real numbers (-infinity, +infinity) and the range would be all real numbers greater than or equal to 1 (1, +infinity).

A relation is a function if for every input (x) there is exactly one output (y). To determine if a relation is a function, we can use the vertical line test, which states that if a vertical line can be drawn through the graph and intersects the relation more than once, then the relation is not a function.

If the relation is a function, we can find the domain and range by analyzing the relation. The domain is the set of all x-values and the range is the set of all y-values. In interval notation, the domain is written as (a, b) and the range is written as (c, d).

So, the domain and range answers depend on the relation which is given and it should be specified.

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Answer:

8.5

Step-by-step explanation:

I did give a detailed explanation here but someone deleted it :(

The linear cost function is C(x) = 15x + 3250 and the cost function in marginal cost: $15; 150 items cost $5500 to produce is $ 5500 .

Let C(x) is that the total value, and x is that the range of things.

The slope "m" is named the cost and "b" is named the charge.

The value of m is $15 and the price of "x" is 150.

Total cost of 150 items are $5500

Substitute all the values within the equation (1) , we get

   5500 = 15 (150) + b

    5500 = 2250 + b

    3250 = b

Hence , linear cost function is given by C(x) = 15x + 3250

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Answer:

Greater

Step-by-step explanation:

.4*1.8 is .72

.72 is greater than .4

Answer:

2/3

Step-by-step explanation:

-1/3 + 1

2/3

This problem is the same as writing 1 - 1/3.

1 can become 1/1, which can become 3/3.

3/3 - 1/3 = 2/3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

0.6 (its repeating meaning there are an infinite amount of 6's) or the fraction form, 2/3

Step-by-step explanation:

That's what I got, not sure if it was what you were looking for.

Answer:

-5

Step-by-step explanation:

Is the Answer

Answer:

18

Step-by-step explanation:

Answer: -12

Step-by-step explanation:

1/4x + 1/3x = x + 5

7/12 x = x + 5

7x = 12(x+5)

7x = 12x +5

x = -12

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Step-by-step explanation:

To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5

Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

By solving these two equations, we get the following:

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

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Answer:y=-x+2

Step-by-step explanation:

Answer:

2(x+1)=3(x-1). 2x+4 = $*-6. -*=-8 .... x=y x=17. 1. x x. X. = 8. X-9=-3x-5 f). 4x=4 x = 1 ... Graphing Linear Equations. Graph ... Solve the inequality and graph the solution on a number line.

The Julián has 0.84 euros left after making these purchases.

Given that Julián spends 2/5 of his savings on a school trip, and 25% of his savings on skates. The question is asking us to find out how much the skates cost and how much money he has left after making these purchases. Let's solve this problem step-by-step.

Part (a) is already solved as we know that Julián spends 2/5 of his savings on a school trip and 25% of his savings on skates.

Part (b) To determine how much the skates cost, we need to first find out what percentage of his savings he spent on skates. Since he already spent 2/5 of his savings, that means he has 3/5 left.

And since he spent 25% of his total savings on skates, we can set up an equation as follows:

0.25(x) = 3/5where x is his total savings.

Cross-multiplying: 0.25(x) * 5 = 3x1.25x = 3x = 3/1.25x ≈ 2.4So, his total savings would be around 2.4 euros.

Therefore, the cost of the skates is 0.25(2.4) = 0.6 euros.Part (c) To find out how much money he has left, we subtract the cost of the school trip and the skates from his total savings:

Total savings - School trip - Skates

= Money left2.4 - (2/5)(2.4) - 0.6

= Money left2.4 - 0.96 - 0.6

= Money left0.84 euros

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Answer:

It first starts with a dilation with a scale factor of 1/2. Than once the dilation is completed, a translation of 3 units to the right and 1.5 units down.

Step-by-step explanation:

The two nominal variables are related.

The following table summarises the data from a survey on the ownership of iPods among families with different levels of income.  

Ownership           C1                  C2                  C3

No                         40                 32                   48

Yes                        30                 48                   52

The first thing to do in order to determine if they are related or not is to state our null and alternative hypothesis

Null hypothesis

\(\mathbf{H_o: Two \nomial \ variables \ are \ related}\)

Alternative hypothesis

\(\mathbf{H_a: Two \nomial \ variables \ are \ not \ related}\)

Using the Chi-square test statistics which can be expressed by using the formula  

\(X ^2 = \sum \dfrac{(O-E)^2}{E}\)

Ownership           C1                  C2                  C3                  Total

No                         40                 32                   48                 120

Yes                        30                 48                   52                 130

Total                      70                 80                   100                250

The expected values are calculated as:

\(\mathsf{E_{a,b} = \dfrac{(row \ total \times column \ total )}{grand \ total }}\)

\(\mathsf{E_{1,1} = \dfrac{(70 \times120 )}{250 }}\)

\(\mathsf{E_{1,1} = 33.6}\)

\(\mathsf{E_{1,2} = \dfrac{(70 \times130 )}{250 }}\)

\(\mathsf{E_{1,2} = 36.4}\)

\(\mathsf{E_{2,1} = \dfrac{(80 \times120 )}{250 }}\)

\(\mathsf{E_{2,1} = 38.4}\)

\(\mathsf{E_{2,2} = \dfrac{(80 \times 130 )}{250 }}\)

\(\mathsf{E_{2,2} = 41.6}\)

\(\mathsf{E_{3,1} = \dfrac{(100 \times120 )}{250 }}\)

\(\mathsf{E_{3,1} = 48}\)

\(\mathsf{E_{3,2} = \dfrac{(70 \times130 )}{250 }}\)

\(\mathsf{E_{3,2} = 52}\)

∴ Using the Chi-square test statistics, we have:

\(X ^2 = \sum \dfrac{(O-E)^2}{E}\)

\(X ^2 = \Bigg( \dfrac{(40-33.6)^2}{33.6}+ \dfrac{(30-36.4)^2}{36.4}+ \dfrac{(32-38.4)^2}{38.4}+ \dfrac{(48-41.6)^2}{41.6} + \dfrac{(48-48)^2}{48}+ \dfrac{(52-52)^2}{52} \Bigg)\)

\(X ^2 = \Bigg( \dfrac{40.96}{33.6}+ \dfrac{40.96}{36.4}+ \dfrac{40.96}{38.4}+ \dfrac{40.96}{41.6} + \dfrac{0}{48}+ \dfrac{0}{52} \Bigg)\)

\(X ^2 = \Bigg( 1.2190+ 1.1253+ 1.0667+ 0.9846+0+ 0 \Bigg)\)

\(\mathbf{X ^2 =4.3956}\)

The degree of freedom df = ((r - 1) × (c - 1))

= (3 - 1) (2 -1 )

= 2 × 1

= 2

∴

Assuming the level of significance = 5%

The p-value of the Chi-square test statistics at df of 2 is:

= \(\mathbf{P(X^2 > 4.3956) \implies 0.111}\)

Therefore, we can conclude that since the p-value (0.111) is greater than the level of significance (0.05), we fail to reject the null hypothesis.

Hence, the two nominal variables are related.

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Answer:

I think it is 1 in 12 ft.

Step-by-step explanation:

Answer: Original price = $43.10, Increase = $19.40, Final price = $62.50

Step-by-step explanation:

Let x represent the original price, then

8x(1.45) < $500

\(x<\dfrac{500}{8(1.45)}\)

x < $43.10

Increase is 0.45x

0.45($43.10)

= $19.40

Final price is Original + Increase

$43.10 + $19.40

= $62.50

The increase in price of a single piece of design is; Increase < $19.395

The new price can be represented as 145% the old price.

Let the initial price be x;

Therefore, the problem statement can be written as;

The former price is therefore 45% of $43.1;

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Answer:

i'm going to be honest and say sorry if i its wrong but

i think its 27 - 9x  

and ageing sorry if its wrong

Step-by-step explanation:

The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

4.) The statement that is not true about the cube box is that the volume of the box is one square foot. That is option C.

5.) All the possible dimensions of the bottom layers include the following;

when length= 4 units; width = 3units

when length = 3 units; width = 4 units

when length = 2 units; width = 6 units

To calculate the volume of a cube box the formula that should be used = a³

where a = 1³

volume = (1×1×1) = 1ft³

The area of the cube = 6(a²)

But a = 1

area = 6(1²)

= 6ft²

Therefore the wrong statement is that the volume of the box is one square foot instead of 1ft³.

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The answer is g= -5h + 16

Answer:

g = −5h+16

h = −\(\frac{g}{5}\)+\(\frac{16}{5}\)

The simplified expression is \(-4x^2 + 3x + 1\), which is a quadratic polynomial. Option D.

To simplify the expression \((8x^2 + 3x) - (12x^2 - 1)\), we can distribute the negative sign to each term within the parentheses:

\(8x^2 + 3x - 12x^2 + 1\)

Next, we can combine like terms by adding or subtracting coefficients of similar powers of x:

\((8x^2 - 12x^2) + 3x + 1\)

Simplifying further, we have:

\(-4x^2 + 3x + 1\)

The resulting polynomial \(-4x^2 + 3x + 1\) is a quadratic polynomial since it has a highest power of x^2 (the exponent of x is 2), which is\(-4x^2.\)Quadratic polynomials are polynomials of degree 2 and can be represented by a parabola when graphed.

In summary, the simplified expression \((8x^2 + 3x) - (12x^2 - 1)\) simplifies to \(-4x^2 + 3x + 1\) , which is a quadratic polynomial. So Option D is correct

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Note the complete question is

Answer:

The cafe sold 40 single shot espressos.

Step-by-step explanation:

A standard deck has 52 cards, there are four suits in the deck, "clubs", "diamonds", "hearts", and "spades". There are 13 ranks in each suit.

You know that the card drawn at random is a club. This means that there are 13 possible outcomes: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, and K.

→ You have to determine the probability of drawing an "8" given that the card is a club. There is only one 8 of clubs between the 13 cards of the suite, the probability is equal to the number of successes divided by the total number of outcomes:

→ You have to determine the probability of drawing a 10 or an ace, given that the card is a club. Once again, since you know that the card's suit is a club, you have to calculate the probability considering the 13 ranks that conform to the suit.

The events "drawing the 10 of clubs" and "drawing the ace of clubs" are mutually exclusive, which means that the probability of the union between both events is equal to the sum of their individual probabilities:

There is only one 10 within the 13 ranks of the suit, the probability can be expressed as follows:

You can calculate the probability of drawing the Ace of Clubs using the same logic:

Now you can calculate the union between both events:

Answer:

after 42 months he has $2,696 in interest

compound quarterly is equivalent to annual rate of 4.835%

Part b

after 42 months he has $2,713 compound continuously

the diffrence is $17  

15000 + 4.75% · 42  compound quarterly is $2,696

15000 + 4.75% · 42 compound continuously is $2,696

Answer:

Step-by-step explanation:

Stop posting FLVS questions on this website. It is illegal, and you can be expelled from the program. :)

Answer:2.99 on edge

Step-by-step explanation: i got the question wrong just for the answer hope this helps

Answer:

2.99 on edge

Step-by-step explanation:

A) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

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Answer:

Step-by-step expA) The type of triangles are congruent triangles

B) By the use of SAS Congruency Postulate

C) The distance across for the sink hole is: 52.2 ft

D) The perimeter of triangle ABC is: 172.2 feet.

How to solve congruent triangles?

A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.

B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.

C) We know that:

AB = ED = 52.2

AB is the distance across the sink hole. Thus, it is 52.2 feet

D) AB = 52.2

BC = 70

AC = 50

Thus:

Perimeter of triangle ABC = AB + BC + AC

Perimeter of triangle ABC = 52.2 + 70 + 50

Perimeter of triangle ABC = 122.2 + 50

Perimeter of triangle ABC = 172.2

The perimeter of triangle ABC is 172.2 feet.

lanation: