There are 40 markers in a bag. Of the 10 scented markers, 6 are permanent markers. Half of the unscented markers are erasable.

Which two-way table is correct?

Answer:

8

Step-by-step explanation:

\(x - y \\ \\ = 6 - ( - 2) \\ \\ = 6 + 2 \\ \\ = 8\)

You are a genius and not a stupid.

Answer:

b

Step-by-step explanation:

Answer:

20 adult tickets and 40 children tickets are sold

Step-by-step explanation:

Let there are x adult tickets and y children tickets are sold. The theater sells a total of 60 tickets.

ATQ,

x+y = 60 ....(1)

A ticket for an adult costs $11 and a ticket for a child costs $6. The theater sells a total of 60 tickets and collects $460.

ATQ,

11x+6y=460 ...(2)

Multiply equation (1) by 6.

6x+6y=360 ...(3)

Subtract equation (2) and (3)

11x+6y-(6x+6y) = 460-360

11x+6y-6x-6y = 100

5x = 100

x = 20

Put x in equation (1)

20+y=60

y = 60-20

y = 40

Hence, there are 20 adult tickets and 40 children tickets are sold.

Answer: The answer is 5

To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.

1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:

V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49

We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:

V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)

Here is a more detailed explanation of the substitution:

In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.

When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3

In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.

When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)

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Answer:

Time it would take her to finish the book = 280 / 20

Step-by-step explanation:

Time it would take her to finish the book = amount of pages left / how many pages she reads in a day

amount of pages left = 405 - 125 = 280

pages she reads in a day = 20

280  / 20

Pythagoras was an ancient Greek mathematician who founded the Pythagorean school of thought. The Pythagorean theorem is a fundamental concept in mathematics that is attributed to Pythagoras and his followers.

It states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. While this theorem is considered a cornerstone of mathematics today, it is important to understand that Pythagoras did not have access to the advanced mathematical tools and methods that we have today.

He had to rely on geometric constructions and reasoning to prove his theorem. Furthermore, Pythagoras believed that all numbers could be expressed as ratios of whole numbers, which is not always true in reality. Despite these limitations, the Pythagorean theorem has stood the test of time and continues to be a crucial tool in mathematics and other fields.

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Answer:$56

Step-by-step explanation:

x/700 = 8/100

(8)700 = 5,600

5,600/100 = 56

A comprehensive outline with evidence for both the affirmative and negative cases is referred to as a detailed brief.

A detailed outline of both the affirmative and negative cases, along with the supporting evidence for each, is commonly referred to as a brief or a case brief in the context of debate or legal arguments. It is a document that summarizes the main arguments, evidence, and reasoning behind a position taken by either side of a debate or legal case.

Here's an example of how a brief for both the affirmative and negative cases on a hypothetical topic could be structured:

I. Affirmative Case

A. Introduction

Opening statement: Clearly state the resolution and the affirmative position.

Present a brief overview of the main arguments to be discussed.

B. Argument 1

State the first argument in support of the affirmative position.

Provide evidence, facts, or statistics to support the argument.

Offer logical reasoning or expert opinions that reinforce the argument.

Address potential counterarguments and provide rebuttals if necessary.

C. Argument 2

State the second argument in support of the affirmative position.

Provide evidence, facts, or statistics to support the argument.

Offer logical reasoning or expert opinions that reinforce the argument.

Address potential counterarguments and provide rebuttals if necessary.

D. Argument 3

State the third argument in support of the affirmative position.

Provide evidence, facts, or statistics to support the argument.

Offer logical reasoning or expert opinions that reinforce the argument.

Address potential counterarguments and provide rebuttals if necessary.

E. Conclusion

Summarize the main arguments presented in the affirmative case.

Reiterate the position and its significance in relation to the resolution.

II. Negative Case

A. Introduction

Opening statement: Clearly state the resolution and the negative position.

Present a brief overview of the main arguments to be discussed.

B. Argument 1

State the first argument against the affirmative position.

Provide evidence, facts, or statistics to support the argument.

Offer logical reasoning or expert opinions that reinforce the argument.

Address potential counterarguments and provide rebuttals if necessary.

C. Argument 2

State the second argument against the affirmative position.

Provide evidence, facts, or statistics to support the argument.

Offer logical reasoning or expert opinions that reinforce the argument.

Address potential counterarguments and provide rebuttals if necessary.

D. Argument 3

State the third argument against the affirmative position.

Provide evidence, facts, or statistics to support the argument.

Offer logical reasoning or expert opinions that reinforce the argument.

Address potential counterarguments and provide rebuttals if necessary.

E. Conclusion

Summarize the main arguments presented in the negative case.

Reiterate the position and its significance in relation to the resolution.

It's important to note that the specific structure and content of the brief may vary depending on the specific debate format or context. The above outline provides a general framework that can be customized and expanded upon as needed.

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Answer:

9.50

Step-by-step explanation:

9.46 to the nearest tenth is 9.50,

wherever there is a th after the value name it is the right hand side of the decimal point that you need to round to.

Hope this helps!

Answer 9.5

Step-by-step explanation: i think-

When a single arithemetic / logic unit (alu), which does the math in a processor, is given 2 independent register sets so that it can quickly alternate between running 2 separate threads, we call it simultaneous multithreading.

Simultaneous multithreading, or "SMT," is the term used when a single Arithmetic/Logic Unit (ALU) is given two independent register sets to swiftly switch between operating two distinct threads.

SMT is a technique used in processor design to improve overall performance by allowing multiple threads to be executed concurrently on a single physical processor core. It enables the ALU to switch between different threads, or sets of instructions, rapidly, providing the illusion of simultaneous execution and effectively utilizing the available resources.

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A parabola is the set of all points in a plane that are equidistant from both a point called the focus and a line called the: directrix

A parabola is a plane curve formed by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

A parabola is approximately U-shaped.

It is the graph of a quadratic function.

A fix point is called as the focus and a fixed straight line is the directrix of the parabola.

The fixed point does not lie on the fixed line. (i.e., the focus does not lie on the directrix of the parabola).

Therefore, A parabola is the set of all points in a plane that are equidistant from both a point called the focus and a line called the: directrix

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Divide the amount paid by number of weeks:

59.50/5 = $11.90 per week.

Answer:

11.90

Step-by-step explanation: divide it by 5

Answer:

5374771.2

Step-by-step explanation:

Answer:

$5.63

Step-by-step explanation:

Each bag of bananas is $5.63.

If you divide $28.15 by 5 you get $5.63.

Statement: 5(x+6)=x+38 is x=2

We are given the equation 5(x+6)=x+38. We can solve this equation by isolating x on one side of the equation. To do this, we will first subtract x from both sides of the equation. This will leave us with 5x+30=38. We can then subtract 30 from both sides of the equation to isolate the x terms. This leaves us with 5x=8. We can then divide both sides of the equation by 5 to isolate x. This gives us x=2.

Therefore, if 5(x+6)=x+38, then x=2.

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The Given Statement is  true reason is the value in the left-hand side is equal to the value in the right-hand side. it shows proof that 5(x+6) = x+38 for x =2.

Here we have to understand what is an equation because in question we have given an equation.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.

2x - 5 and 13 are expressions in this case.

These two expressions are joined together by the sign "=".

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. Since we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

Here we have given an equation

5(x+6) = x+38  we have to proof for x = 2.

LHS 5(x+6) = 5(2+6) = 5*8 = 40

RHS x+38 = 2+38 = 40

So the given statement is true because LHS = RHS.

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Answer:

Step-by-step explanation:

54.30/1645 = 0.033 = 3.3%

Answer:

y=2-1x

Step-by-step explanation:

the would be the answer because the way your line is going

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

f(3) means value of y when x = 3

So, the answer is 2

Answer:

I am giving you a short cut formula which gives approximate value of square root

√P = √Q + (P-Q)/2√Q

Where P is the number whose square root is required

Here √P=√3

Q is the nearby perfect square like Q = 4 here

√P = √3 & √Q =√4=2

√P = √Q + (P-Q)/2√Q = 2 + (3-4)/2(√4) = 2 + (-1/4) =2 –(1/4)=2 -.25 = 1.75

This is approximate value

By calculator √3=1.732…

Step-by-step explanation:

Step-by-step explanation:

I would show if they were right but the check marks kind of get in the way, sorry if this is too late.

The  two-way table with the joint and marginal relative frequencies is as follows:

         | Left    | Right   | Total

Female    | 0.048   | 0.450   | 0.498

Male      | 0.104   | 0.398   | 0.502

Total     | 0.151   | 0.848   | 1.000

A two-way frequency table, also known as a contingency table, is a tabular representation of categorical data that shows the frequency or count of observations for each combination of two categorical variables.

As, the joint relative frequencies represent the proportion of individuals who fall into both categories (e.g., female and left-handed, male and right-handed),

while the marginal relative frequencies represent the proportion of individuals in each category independently (e.g., the proportion of females and the proportion of left-handed individuals).

Here is the two-way table showing the joint and marginal relative frequencies:

         | Left   | Right  | Total

Female    | 11     | 104    | 115

Male      | 24     | 92     | 116

Total     | 35     | 196    | 231

To calculate the joint relative frequencies,

To calculate the marginal relative frequencies, we divide the row and column totals by the total number of individuals (231):

Marginal relative frequency of left-handed individuals: 35/231 ≈ 0.151

Marginal relative frequency of right-handed individuals: 196/231 ≈ 0.848

Marginal relative frequency of females: 115/231 ≈ 0.498

Marginal relative frequency of males: 116/231 ≈ 0.502

Therefore, the two-way table with the joint and marginal relative frequencies is as follows:

         | Left    | Right   | Total

Female    | 0.048   | 0.450   | 0.498

Male      | 0.104   | 0.398   | 0.502

Total     | 0.151   | 0.848   | 1.000

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Answer: -infinity, 4

Step-by-step explanation:

4 is the maximum value, but it could be any negative value if it continues going

The distance away from Oracle Road, if you travel 5 miles up Route 10 from the intersection, can be found using trigonometry.

Since Route 10 heads 30° west of north, it forms a right triangle with Oracle Road. The adjacent side of the triangle represents the distance traveled up Route 10 (5 miles), and we need to find the opposite side, which represents the distance away from Oracle Road.

Using trigonometric functions, we can use the cosine of the angle to find the opposite side:

Opposite side = Adjacent side × cosine(angle)

Opposite side = 5 miles × cosine(30°)

Calculating the value:

Opposite side ≈ 5 miles × 0.866

Opposite side ≈ 4.33 miles

Therefore, if you travel 5 miles up Route 10 from the intersection, you are approximately 4.33 miles away from Oracle Road.

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Answer:

No, it's just maximum of two tables that lost balloon so there is no way it affected each table.

Step-by-step explanation:

Number of balloons purchased= x

Number of tables = 8.

Each table has = x/8 balloons

If 2 balloons pop.

Let's assume it's just from a table

That table has( x/8 -2)

If it's from 2 table

The two table has

(X/8-1) for both tables

But the total balloon remaining = x-2

There is no particular equation that can describe the gallon on each table because it's only two balloons that popped.

Answer:

That expression is not true. To evenly distribute the balloons you use x/8. Then you subtract 2 balloons from that total amount. The subtraction must be done after the division. There will not be the same number of balloons at each table.

Step-by-step explanation:

It was the sample answer.

Marjorie takes 5 seconds to paint each watermelon seed, while Pembroke takes 4 seconds.  We can calculate their combined rate and divide it by the total number of seeds.

Marjorie takes 5 seconds to paint one seed, so her rate is 1 seed per 5 seconds, which can be expressed as 1/5 seeds per second. Similarly, Pembroke takes 4 seconds to paint one seed, so his rate is 1 seed per 4 seconds or 1/4 seeds per second.

To find their combined rate, we can add their individual rates: 1/5 + 1/4 = 9/20 seeds per second.

Now, to determine the total time it will take for both of them to paint 171 watermelon seeds, we divide the total number of seeds by their combined rate: 171 / (9/20) = 380 seconds.

Therefore, it will take Marjorie and Pembroke together approximately 380 seconds to paint 171 watermelon seeds.

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Answer:

a = 1, b = -2

Step-by-step explanation:

You are given values of x are 1 and 2 when the equation is 0

To solve the problem substitute the values of x into the equation

For x =1

1^2 + a(1) + b = 0

1 + a + b = 0

a+b = -1(call this equation i)

For x = -2

-2^2 + a(-2) + b = 0

4 - 2a + b = 0

-2a + b = -4 (call this equation ii)

Now solve equation i and ii simultaneously to get values of a and b.

a+b = -1

-2a+b = -4

By elimination method (also you can solve by substitution method) subtract equation ii from equation i, we get

3a = 3

Divide 3 both sides, you get

a = 1

Take the value of a above substitute it into either equation i or ii to get the value of b

Here i considered equation i

a + b = -1

1 + b = - 1

b = - 1 - 1

b = -2

Therefore a = 1, b = -2

Answer:

3. -74

Step-by-step explanation:

\(12 = \frac{2 + z}{-6} \\-72 = 2+ z\\z = -74\)

Answer:

B

Step-by-step explanation:

\( \sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) \)

So we must find cos(alpha)

Use the Pythagorean Identity

\( \sin {}^{2} (x) + \cos {}^{2} (x) = 1\)

We know sin(x)=-7/25

\(( - \frac{7}{25} ) {}^{2} + \cos {}^{2} ( \alpha ) = 1\)

\( \cos {}^{2} ( \alpha ) = 1 - \frac{49}{625} \)

\( \cos {}^{2} ( \alpha ) = \frac{576}{625} \)

\( \cos( \alpha ) = \frac{24}{25} \)

Since cos Is negative over the 3rd quadrant,

\( \cos( \alpha ) = - \frac{24}{25} \)

So we solve sin(2theta)

\( \sin(2 \alpha ) = 2( \frac{ - 7}{25} )( \frac{ - 24}{25} )\)

\( = \frac{336}{625} \)

Answer:

\(\textsf{B)} \quad \dfrac{336}{625}\)

Step-by-step explanation:

The sine double angle identity is:

\(\boxed{\sin (A\pm B)=\sin A \cos B\pm\sin B\cos A}\)

Therefore, using the sine double angle identity, we can rewrite sin 2θ as:

\(\sin (\theta+\theta)=\sin \theta \cos \theta+\sin \theta \cos \theta\)

\(\sin 2\theta=2 \sin \theta \cos \theta\)

Given that sin θ = -7/25, we can use the trigonometric identity sin²θ + cos²θ = 1 to find cos θ:

    \(\sin^2 \theta+\cos^2 \theta=1\)

\(\left(-\dfrac{7}{25}\right)^2+\cos^2 \theta=1\)

                 \(\cos^2 \theta=1-\left(-\dfrac{7}{25}\right)^2\)

                  \(\cos \theta=\sqrt{1-\left(-\dfrac{7}{25}\right)^2}\)

                  \(\cos \theta=\dfrac{24}{25}\)

The given interval for angle θ is:

\(\pi < \theta < \dfrac{3\pi}{2}\)

From inspection of the unit circle (attached), we can see that angle θ is in quadrant III. In this quadrant, both the sine and cosine of the angle are negative. Therefore:

\(\cos \theta=-\dfrac{24}{25}\)

Substitute the given value of sin θ and the found value of cos θ into the double angle equation to find the exact solution of sin 2θ:

\(\begin{aligned}\sin 2 \theta&=2 \sin \theta \cos \theta\\\\&=2 \left(-\dfrac{7}{25}\right) \left(-\dfrac{24}{25}\right)\\\\&= \left(-\dfrac{14}{25}\right) \left(-\dfrac{24}{25}\right)\\\\&= \dfrac{336}{625}\\\\\end{aligned}\)

Answer:

A' ( 2,3)

B' ( 5,5)

C ( 7,3)

D'(5,2)

Answer: Pressure = 16 neutons per sq. meter

Step-by-step explanation:

---

Volume = k[t/p]

---

Find "k":

16 = k[500/100]

---

k = 16/5

V = (16/5)[t/p]

---

If the volume were increased to 20 liters and the temperature reduced to 400 kelvins, what would be the pressure?

20 = (16/5)[400/p]

pressure = (16/5)[500/20]