The graph and table shows the relationship between y, the number of words Jean has typed for her essay and x, the number of minutes she has been typing on the computer.

According to the line of best fit, about how many words will Jean have typed when she completes 60 minutes of typing?

2,500

2,750

3,000

3,250

To find the time it takes for the original sentence to reappear, we need to find the least common multiple (LCM) of the cycle counts of each word. The LCM of the cycle counts gives us the number of minutes for the original sentence to reappear.

To find the number of minutes it takes for the original sentence to reappear, we need to analyze the pattern of the letters in a word. Let's take an example sentence: 'The quick brown fox jumps over the lazy dog.' After the first minute, the sentence becomes 'ehT uickq norwb foxp smuj revo eht yzal god.' Notice that each word has its first letter moved to the end. So, each word becomes a cyclic permutation of itself, with a period equal to the number of letters in the word.

Now, let's count the number of cycles for each word in the original sentence. 'The' has one cycle, 'quick' has five cycles, 'brown' has five cycles, 'fox' has three cycles, 'jumps' has five cycles, 'over' has four cycles, 'the' has one cycle, 'lazy' has four cycles, and 'dog' has three cycles. To find the time it takes for the original sentence to reappear, we need to find the least common multiple (LCM) of these cycle counts. The LCM of 1, 5, 5, 3, 5, 4, 1, 4, and 3 is 60.

Therefore, it will take 60 minutes for the original sentence to first reappear.

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In terms of operant conditioning, if a response to a stimulus results in a satisfying or rewarding outcome, the probability of the response recurring to that stimulus in the future increases. Conditioning behavior is controlled by their consequences.

If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again increases. This concept is central to the idea of operant conditioning in behavioral psychology. Operant conditioning is a type of learning where behavior is controlled by consequences. If the response to a stimulus results in a rewarding or satisfying outcome, this acts as positive reinforcement.

In operant conditioning, when a response yields a rewarding outcome (reinforcement), the likelihood of the behavior recurring in the future is increased. Take, for instance, the case of a dog that has learned if it sits when commanded, it receives a treat. The command ('Sit') is the stimulus, sitting is the response, and receiving a treat is the reinforcement. This scenario typically increases the likelihood of the dog sitting when given the command in the future.

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In terms of operant conditioning, if a response to a stimulus results in a satisfying or rewarding outcome, the probability of the response recurring to that stimulus in the future increases. Conditioning behavior is controlled by their consequences.

If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again increases. This concept is central to the idea of operant conditioning in behavioral psychology. Operant conditioning is a type of learning where behavior is controlled by consequences. If the response to a stimulus results in a rewarding or satisfying outcome, this acts as positive reinforcement.

In operant conditioning, when a response yields a rewarding outcome (reinforcement), the likelihood of the behavior recurring in the future is increased. Take, for instance, the case of a dog that has learned if it sits when commanded, it receives a treat. The command ('Sit') is the stimulus, sitting is the response, and receiving a treat is the reinforcement. This scenario typically increases the likelihood of the dog sitting when given the command in the future.

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Answer:

The number is 12.

Step-by-step explanation:

Given: [tex]6-\dfrac{3}{4}x+\dfrac{1}{3}=\dfrac{1}{2}x+5[/tex]

We need to find a number multiply to each term to get rid of fraction.

We will find LCD of denominator.

First we see the numbers at denominator

Denominators are 4,3,2

Now, we will find the LCD of 2,3, and 4

Factor of 2: 2x1

Factor of 3: 3x1

Factor of 4: 2x2x1

LCD = 2x2x3 = 12

If we multiply by 12 to each term to eliminate the fraction.

Simplest equation:

[tex]12\cdot 6-12\cdot \dfrac{3}{4}x+12\cdot \dfrac{1}{3}=12\cdot \dfrac{1}{2}x+12\cdot 5[/tex]

[tex]72-9x+4=6x+60[/tex]

Hence, The number is 12.

Answer:

The required probability is 0.70.

Step-by-step explanation:

Let A represents the event of launching successfully, B represents the event of receiving favourable reports,

Given,

Probability of successful launching,

[tex]P(A)=40\%=\frac{40}{100}=0.40[/tex]

Also, 70% of successful cell phones are received favorable reports.

[tex]\implies P(A\cap B)=70\%\text{ of P(A)}=\frac{70\times 0.40}{100}=0.28[/tex]

Thus, by the conditional property,

The probability that the new cell phone will receive a favorable report, given that the cell phone launch is successful,

[tex]P(\frac{B}{A})=\frac{P(A\cap B)}{P(A)}=\frac{0.28}{0.40}=0.70[/tex]

The car would use 20 litres to travel 250 km.

To determine the number of litres the car would use to travel 250 km, we can set up a proportion using the average fuel consumption rate of 8 litres per 100 km:

8 litres / 100 km = x litres / 250 km

To solve for x, we can cross-multiply and then divide:

x litres = (8 litres * 250 km) / 100 km

x litres = 20 litres

Therefore, the car would use 20 litres to travel 250 km.

Final answer:

The car would use 20 liters of fuel to travel 250 km.

Explanation:

To determine how many liters of fuel the car would use to travel 250 km, we can set up a proportion using the given information:

8 liters  ÷ 100 km = x liters  ÷ 250 km

Cross multiplying, we get:

x = (8 liters × 250 km) ÷ 100 km

x = 2000 liters ÷ 100 km

x = 20 liters

Therefore, the car would use 20 liters of fuel to travel 250 km.

Answer:  The correct option is (A) [tex]y=10-x.[/tex]

Step-by-step explanation:  The given graph represents the amount of change Jaxon would receive 'y' if he bought a item with a cost of 'x'.

We are to select the correct equation that represents the graph.

We notice from the graph that it is a straight line and the points (0,10) and (10, 0) lies on the line.

The slope of a straight line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]  

So, the slope of the given line is

[tex]m=\dfrac{0-10}{10-0}\\\\\\\Rightarrow m=-1.[/tex]

Since the line passes through the point (10, 0), therefore the equation of the line representing the graph is

[tex]y-10=m(x-0)\\\\\Rightarrow y-10=-1(x-0)\\\\\Rightarrow y-10=-x\\\\\Rightarrow y=10-x.[/tex]

Thus, the required equation is [tex]y=10-x.[/tex]

Option (A) is CORRECT.

divide 7360 by 78000

7360/78000 = 0.943589

 = 9.44%

Answer:

y-intercept = 0.06 = 6%

Step-by-step explanation:

As per the statement:

A horse owner has 50 lbs of hay that is 6% protein by weight. He adds x lbs of oats that is 12% protein by weight.

Given the function:

[tex]y = \frac{0.06(50)+0.12x}{50+x}[/tex]

where, y represents the percent of protein in the final mixture of feed.

We have to find  y-intercept of the function that models the percent of protein in the final mixture.

Y-intercept:

Substitute x = 0 and solve for y:

then;

[tex]y = \frac{0.06(50)+0.12(0)}{50+0}=\frac{0.60 \cdot 50}{50}[/tex]

⇒[tex]y = 0.06 =6\%[/tex]

Therefore, the y-intercept of the function that models the percent of protein in the final mixture is, 6%

Answer:

.06

Step-by-step explanation:

Answer:

Symmetry about y-axis

Step-by-step explanation:

We are given that

[tex]r=4-3sin\theta[/tex]

When the graph is symmetric about x- axis then the point (x,y) change in to (x,-y) and the function remain same.

The point[tex] (r,\theta,)[/tex] is replaced by [tex]( r,-\theta)[/tex]

Substitute the value then we get

[tex]r=4-3 sin(-\theta) [/tex]

[tex]r=4+3sin\theta[/tex]  ([tex]sin(-\theta)=-sin\theta)[/tex]

The value of function changes .Hence , the function is not symmetric about x- axis.

When the function is symmetric about y-axis then the point [tex](r,\theta) [/tex] change into point [tex](r,\pi-\theta)[/tex] and function remain same

Substitute the value

[tex]r=4-3sin(\pi-\theta)[/tex]

[tex]r=4-3 sin\theta[/tex]  ([tex]sin(\pi-\theta)=sin\theta[/tex])

The value of function does not change when point change ,Hence, the function is symmetric about y- axis.

When the graph is symmetric about origin then the point  [tex](\theta,r)[/tex] change into point[tex](r,\pi+\theta)[/tex] and the value of function remain same.

Substitute the value then we get

[tex]r=4-3sin(\pi+\theta)[/tex]

[tex]r=4+3sin\theta [/tex]

[tex]r=4+3sin\theta [/tex]

Hence, the graph has  symmetry about y-axis .

multiply height by width

29 x 32 = 928 sq in

Answer:

its C

Step-by-step explanation:

Answer:

The area of the rectangle is 75 squared meters.

Step-by-step explanation:

Width of the rectangle = w

Length of the rectangle = l = 3w

Perimeter of the rectangle = P = 40 m

Perimeter of the rectangle = 2(l+w)

[tex]2(l+w)=40 m[/tex]

[tex]2(3w+w)=40 m[/tex]

[tex]8w=40 m[/tex]

[tex]w=\frac{40 m}{8}=5 m[/tex]

[tex]l=3w=3\times 5 m=15 m[/tex]

The area of the rectangle ,A= l × w

[tex]A = 5 m\times 15 m = 75 m^2[/tex]

The area of the rectangle is 75 squared meters.

From the given above, we can formulate the equation:

W = C / 218

By substituting the given values:

W = 1090 calories / (218 calories / 1 ounce)

W = 5 ounce

Therefore the guinea pigs will gain additional 5 ounce if the diet was increased by 1090 calories.

Answer:

X=10

Step-by-step explanation:

In order to solve this problem you just have to remember that in rectangles and trapezoids opposite angles are suplemmentary, in this case you can equal those to 180º, your equation would be:

[tex]14x+3x+10=180\\17x+10=180\\17x=180-10\\[/tex]

[tex]17x=170[/tex]

[tex]x=\frac{170}{17}[/tex]

[tex]x=10[/tex]

So the answer is X equals to 10.

The sides of triangle WXY can be listed from smallest to largest as YW, WX, XY, by matching the side lengths to a set of Pythagorean triplets (5, 12, and 13 cm). This corresponds to option A of the provided choices.

To list the sides of triangle WXY in order from smallest to largest, we can use the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

According to the given information, we have two right triangles with sides 5 cm, 12 cm, and 13 cm.

Recognizing these are Pythagorean triplets, where 5 and 12 are the legs and 13 is the hypotenuse, it indicates that the side measures 13 cm is the longest side, followed by the 12 cm side, and then the 5 cm side is the shortest.

Therefore, if we match these lengths to the sides of triangle WXY, we can list the sides from smallest to largest based on their corresponding lengths, with the assumption XY matches the 13 cm side (as it is not specified and must be inferred).

The correct listing of triangle sides from smallest to largest would be: YW, WX, XY. This correlates to option A in your list.

The probable question may be:

list the sides of triangle WXY in order from smallest to largest

A. YW, WX, XY

B. XY, YW,WX

C. WX,XY,YW

D. XY, WX,YW

Answer:

Point of symmetry

Step-by-step explanation:

The circle is moves at the same distance from the center of the circle. Therefore, the circle is symmetrical around a single point.

Hope this will helpful.

Thank you.