(-13xy+2y)+(2x-5xy-15y)

Answer:

The question you posted was a bit confusing for me, but I'm assuming that you want the simplified ratio of the number of white marbles to the number of green marbles.

The answer would be 8:3.

Step-by-step explanation:

There are 8 white marbles and 3 green marbles, so you get 8:3. And since 8 and 3 are relatively prime, no simplifying is needed.

The answer is 8:3.

Given that sin 30 degree = 1/2 and cos 30 degree = Squareroot 3/2the value of cot(30°) is  = Squareroot 3

Sine 30°=1/2

Cos 30° = √3/2

Sin 30 degrees has a value of 0.5. Sin 30 can also be expressed in radians as sin /6. The triangle's angles and side length are related by the trigonometric function, often known as an angle function.

The sine function, cosine function, and tangent function are the three trigonometric ratios that are the most well-known.

The ratio of the adjacent side to the hypotenuse is referred to as the cosine function. If the right triangle's angle is 30 degrees, then the cosine value at this angle, or the value of Cos 30 degrees, is expressed as 3/2.

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Answer:

3

Step-by-step explanation:

Answer:

The answer is 900

good luck

(a) The number of students who were undergraduates, living off campus, or both is 38. (b) The number of students who were undergraduates living on campus is 30. (c) The number of graduate students living on campus cannot be determined from the given information.

Let's solve each part of the question step by step:

(a) To find the number of students who were undergraduates, living off campus, or both, we can use the principle of inclusion-exclusion. The total number of students surveyed is 60.

Number of undergraduates = 32

Number of students living off campus = 8

Number of undergraduates living off campus = 2

To find the number of students who were undergraduates, living off campus, or both, we can add the number of undergraduates and the number of students living off campus and then subtract the number of undergraduates living off campus to avoid double-counting:

Number of students who were undergraduates, living off campus, or both = Number of undergraduates + Number of students living off campus - Number of undergraduates living off campus = 32 + 8 - 2    = 38

Therefore, 38 students were undergraduates, living off campus, or both.

(b) To find the number of students who were undergraduates living on campus, we need to subtract the number of undergraduates living off campus from the total number of undergraduates:

Number of undergraduates living on campus = Number of undergraduates - Number of undergraduates living off campus = 32 - 2   = 30

Therefore, 30 students were undergraduates living on campus.

(c) The question doesn't provide the exact number of graduate students, so we cannot determine the number of graduate students living on campus from the given information.

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The single percentage change is 6.85%.

Here it is given that there is a 19% decrease and a 15% increase. And we have to find a single percentage change.

The formula of single percentage is

a + b + a .b/ 100

So let's take a = -19 as there is a decrease in the percentage and b = 15 as there is an increase.

So we get a single percentage = -19 + 15 - (19×15)/ 100

                                                    = - 4 -2.85

                                                    = -6.85

Therefore the single percentage change is 6.85%.

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Answer:

B/ADY=Z

Step-by-step explanation:

Just rearrange and divide the variable on each side

(I don’t have much experience with this but it might be wrong but unless you want it in another way I’m glad to edit this answer!)

Answer: The result of the division is the number pi.

And the approximation of pi is: pi = 3.14

Step-by-step explanation:

The distance around a circle is called the perimeter of the circle.

The distance across a circle (This is a line that starts on one point of the circle, go through the center of the circle, and end in the next time it intersects the circle) is called the diameter of the circle.

The quotient between these two quantities is maybe one of the most famous numbers in the world, is the number pi, written as:

π = 3.14159265358979...

Is an irrational number, which means that the decimals keep going infinitely.

Then we can conclude that:

"The result of dividing the perimeter by the diameter, is equal to the number pi = π = 3.14159265358979..."

Because this is an irrational number and is actually impossible to write it, we usually use pi = 3.14 to aproximate it.

The closest to the probability that a person's favorite sport is 28%.

Probability of an event happening is the ratio of the number of required outcome to that of the total number of possible outcomes. while the probability of the event not happening is one minus the event happening.

From the question, the number of required outcome is 18 and the number of possible outcomes is 25.

So the probability of the event that a person's favorite sport is not basketball = 1 - (18/25)

probability of the event that a person's favorite sport is not basketball = (25 - 18)/25 [simply to a single fraction]

probability of the event that a person's favorite sport is not basketball = 7/25

probability of the event that a person's favorite sport is not basketball = 28/100 [convert to percentage]

probability of the event that a person's favorite sport is not basketball = 38%

Therefore, the probability that a person's favorite sport will not be baskitballbis 38%.

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Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

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Answer:

Chronological

Step-by-step explanation:

These texts organize events in the order they happened. This structure is common in current events, history and in works of fiction or memoir. Key words include time markers like “first,” “next,” “then” and “finally.”

The stem-and-leaf plot is a data visualization tool that provides a quick way to see the distribution of a set of data.

The given data represents the number of letters in the mailboxes of 10 houses. To construct a stem-and-leaf plot, we group the data by their tens digit and display them as stems on the left side of the plot, and the ones digit is shown as leaves on the right side of the plot. For the given data, the stem-and-leaf plot is:

 2 | 2

 4 | 4 5

 5 | 7 8

 7 | 0 1

 8 |

10 | 0 2

11 |

12 | 3

13 |

16 |

The plot shows that the majority of houses have between 4 and 13 letters in their mailboxes, with the most common numbers of letters being 7, 8, and 10. The plot also shows that there are two outliers: one house with only 2 letters and another with 16 letters in its mailbox.

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Answer:

13 vertices. In geometry, the augmented hexagonal prism is one of the Johnson solids (J54). As the name suggests, it can be constructed by augmenting a hexagonal prism by attaching a square pyramid (J1) to one of its equatorial faces. When two or three such pyramids are attached, the result may be a parabiaugmented hexagonal prism, a metabiaugmented hexagonal prism or a triaugmented hexagonal prism. Augmented hexagonal prism.

Type: Johnson J53 - J54 - J55

Faces: 2x2 triangles 1+2x2 squares 2 hexagons

Edges: 22

Vertices: 13

Answer:

f(x) = -3(2^x)

g(x) = -3 + 2x

h(x) = 2(3^x)

j(x) = -3 – 2x

So,

f(2) = -3(2^2)

f(2) = -3(4)

f(2) = -12

g(-2) = -3 + 2(-2)

g(-2) = -3 -4

g(-2) = -7

h(2) = 2(3^2)

h(2) = 2(9)

h(2) = 18

j(-2) = -3 – 2(-2)

j(-2) = -3 –4

j(-2) = -7

Answer: 140

Step-by-step explanation:

A^2+B^2=C^2

40^2+42^2=X^2

1,600+1,764=X^2

3,364=X^2

\(\sqrt{3,364}\)= X^2

58=x

Last-

40+42+58=140

Answer:

Step-by-step explanation:

hhhh

Answer:

20 photos

Step-by-step explanation:

4 photos per page, 5 pages. 4 x 5 is 20.

Answer:

20 pictures

Step-by-step explanation:

5 x 4 = 20

Answer:

First we write y and its derivatives as power series:

y=∑n=0∞anxn⟹y′=∑n=1∞nanxn−1⟹y′′=∑n=2∞n(n−1)anxn−2

Next, plug into differential equation:

(x+2)y′′+xy′−y=0

(x+2)∑n=2∞n(n−1)anxn−2+x∑n=1∞nanxn−1−∑n=0∞anxn=0

x∑n=2∞n(n−1)anxn−2+2∑n=2∞n(n−1)anxn−2+x∑n=1∞nanxn−1−∑n=0∞anxn=0

Move constants inside of summations:

∑n=2∞x⋅n(n−1)anxn−2+∑n=2∞2⋅n(n−1)anxn−2+∑n=1∞x⋅nanxn−1−∑n=0∞anxn=0

∑n=2∞n(n−1)anxn−1+∑n=2∞2n(n−1)anxn−2+∑n=1∞nanxn−∑n=0∞anxn=0

Change limits so that the exponents for  x  are the same in each summation:

∑n=1∞(n+1)nan+1xn+∑n=0∞2(n+2)(n+1)an+2xn+∑n=1∞nanxn−∑n=0∞anxn=0

Pull out any terms from sums, so that each sum starts at same lower limit  (n=1)

∑n=1∞(n+1)nan+1xn+4a2+∑n=1∞2(n+2)(n+1)an+2xn+∑n=1∞nanxn−a0−∑n=1∞anxn=0

Combine all sums into a single sum:

4a2−a0+∑n=1∞(2(n+2)(n+1)an+2+(n+1)nan+1+(n−1)an)xn=0

Now we must set each coefficient, including constant term  =0 :

4a2−a0=0⟹4a2=a0

2(n+2)(n+1)an+2+(n+1)nan+1+(n−1)an=0

We would usually let  a0  and  a1  be arbitrary constants. Then all other constants can be expressed in terms of these two constants, giving us two linearly independent solutions. However, since  a0=4a2 , I’ll choose  a1  and  a2  as the two arbitrary constants. We can still express all other constants in terms of  a1  and/or  a2 .

an+2=−(n+1)nan+1+(n−1)an2(n+2)(n+1)

a3=−(2⋅1)a2+0a12(3⋅2)=−16a2=−13!a2

a4=−(3⋅2)a3+1a22(4⋅3)=0=04!a2

a5=−(4⋅3)a4+2a32(5⋅4)=15!a2

a6=−(5⋅4)a5+3a42(6⋅5)=−26!a2

We see a pattern emerging here:

an=(−1)(n+1)n−4n!a2

This can be proven by mathematical induction. In fact, this is true for all  n≥0 , except for  n=1 , since  a1  is an arbitrary constant independent of  a0  (and therefore independent of  a2 ).

Plugging back into original power series for  y , we get:

y=a0+a1x+a2x2+a3x3+a4x4+a5x5+⋯

y=4a2+a1x+a2x2−13!a2x3+04!a2x4+15!a2x5−⋯

y=a1x+a2(4+x2−13!x3+04!x4+15!x5−⋯)

Notice that the expression following constant  a2  is  =4+  a power series (starting at  n=2 ). However, if we had the appropriate  x -term, we would have a power series starting at  n=0 . Since the other independent solution is simply  y1=x,  then we can let  a1=c1−3c2,   a2=c2 , and we get:

y=(c1−3c2)x+c2(4+x2−13!x3+04!x4+15!x5−⋯)

y=c1x+c2(4−3x+x2−13!x3+04!x4+15!x5−⋯)

y=c1x+c2(−0−40!+0−31!x−2−42!x2+3−43!x3−4−44!x4+5−45!x5−⋯)

y=c1x+c2∑n=0∞(−1)n+1n−4n!xn

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Answer:

Multiply the bottom equation by -3/2 then add the equations.

Multiply the top equation by-3. then add the equations

Step-by-step explanation:

Given the simultaneous equation

2x- 6y=6  ... 1

6x - 4y = 2 ... 2

To eliminate a variable, we have to make the coefficient of one of the variable to be the same.

Multiply equastion 1 by -3

-6x+18y= -18  

6x - 4y = 2

Add the result:

-6x + 6x + 18y-4y = -18+2

18y-4y = -18+2

14y = -18

y = -9/7

Another way is to Multiply the bottom equation by -3/2 then add the equations.

Multiplying equation 2 by -3/2 will give;

6x(-3/2) - 4y(-3/2) = 2(-3/2)

-9x + 6y = -3

Add to equation 1;

2x- 6y=6

-9x + 2x + 0 = -3+6

-7x = 3

x = -3/7

Hence the correct two options are;

Multiply the bottom equation by -3/2 then add the equations.

Multiply the top equation by-3. then add the equations

Answer:

Let's first calculate the amount of interest that would be earned if the interest were compounded annually. The formula for the future value of a single sum is:

F = P * (1 + r/n)^(nt)

Where:

F is the future value

P is the principal (the initial deposit)

r is the annual interest rate

n is the number of compounding periods per year

t is the number of years

For our calculation, we have:

P = $10,000

r = 1.8% = 0.018

n = 1 (annual compounding)

t = 30

So, the future value of the account with annual compounding is:

F = $10,000 * (1 + 0.018/1)^(1 * 30) = $10,000 * (1.018)^30 = $21,784.08

Now, let's calculate the amount of interest that would be earned if the interest were compounded monthly. The formula for the future value of a single sum is the same, but we need to use the monthly compounding rate (r/12) instead of the annual rate and the number of months (12t) instead of the number of years:

F = P * (1 + r/n)^(nt)

Where:

F is the future value

P is the principal (the initial deposit)

r is the annual interest rate

n is the number of compounding periods per year

t is the number of years

For our calculation, we have:

P = $10,000

r = 1.8% = 0.018

n = 12 (monthly compounding)

t = 30

So, the future value of the account with monthly compounding is:

F = $10,000 * (1 + 0.018/12)^(12 * 30) = $10,000 * (1.0015)^360 = $22,254.51

The difference in the two future values is $22,254.51 - $21,784.08 = $470.43.

So, the account would be worth $470.43 more if interest were compounded monthly rather than annually over a period of 30 years. Round to the nearest dollar, the answer is $470.

Step-by-step explanation:

The lines to use to solve the equation are y = –3x – 2  and y = 2x + 8

The graph of the line is attached

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

–3x – 2 = 2x + 8

The above equation can be splitted by introducing the variable y

using the above as a guide, we have the following:

y = –3x – 2

y = 2x + 8

This means that the lines to use to solve the equation are y = –3x – 2  and y = 2x + 8

The graph of the line is added as an attachment

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c) The exact value of the probability that all s office hours slots are selected is 1/s.
d) The exact value of the probability that it rains every day next week is  0.494.

c) The probability that all s office hours slots are selected by g GSIs, if each of them selects one of the s slots at random without being influenced by the choices of others, is given by the multinomial distribution:

P(all s slots selected) = s! / (n1! * n2! * ... * ng!) * (1/s)^g

where ni is the number of GSIs selecting the i-th slot and s = ∑ni is the total number of slots selected.

Since we don't have any information about the values of ni, we cannot determine the exact value of this probability. However, we can provide an upper bound by assuming that each GSI selects a different slot, which gives:

P(all s slots selected) ≤ (s choose g) * (1/s)^gwhere (s choose g) = s! / (g! * (s-g)!) is the number of ways to choose g slots out of s.

This upper bound assumes that all choices are independent, which may not be the case in practice, but it gives us an idea of the maximum possible probability.

d) The probability that it rains every day next week is given by the product of the daily probabilities:

P(rain every day) = 0.9 * 0.95 * 0.95 * 0.9 * 0.9 * 0.85 * 0.8

Calculating this expression, we get:

P(rain every day) = 0.494, or approximately 49.4%

So the exact probability of rain every day next week is 0.494, which is less than 50%.

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Answer:

x=121°

Step-by-step explanation:

the sum of angles in a triangle always equal 180°

that means that 22°+37°+x°=180°

so we solve the equation by isolating the variable

add 22 and 37 together

59°+x°=180°

subtract 59 from both sides

x=121°

that means that x is 121 degrees

hope this helps!

The required production rate is 600 units per week, assuming an 8-hour workday and a 5-day workweek.

To calculate the production rate, we need to determine the total time required to produce 600 units within a week. Given the standard times for each operation, we can sum them up to find the total time per unit.

Total time per unit = Time for operation a + Time for operation b + Time for operation c + Time for operation d

= 8.92 minutes + 5.25 minutes + 1.58 minutes + 7.53 minutes

= 23.28 minutes per unit

To find the production rate, we divide the available working time in a week by the total time per unit:

Production rate = (Available working time per week) / (Total time per unit)

Assuming an 8-hour workday and a 5-day workweek, the available working time per week is:

Available working time per week = (8 hours/day) * (5 days/week) * (60 minutes/hour)

= 2400 minutes per week

Now we can calculate the production rate:

Production rate = 2400 minutes per week / 23.28 minutes per unit

≈ 103.24 units per week

Therefore, the assembly process can achieve a production rate of approximately 103 units per week, which falls short of the required rate of 600 units per week. This indicates that adjustments to the process, such as reducing the standard times or increasing efficiency, may be necessary to meet the desired production target.

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9514 1404 393

Answer:

  1.048

Step-by-step explanation:

The generic form of the exponential model is ...

  y = a·b^x

Filling in the given values, we have ...

  100 = a·b^6

  184 = a·b^19

__

Dividing the second equation by the first gives ...

  184/100 = (a·b^19)/(a·b^6)

  1.84 = b^13 . . . . . simplify

  b = 1.84^(1/13) ≈ 1.048022 . . . . find the 13th root

The growth factor is about 1.048.

The type of pair of angles that are∠2 and angle∠11 is an alternate interior angles.

When a transversal intersects two coplanar lines, alternate interior angles are formed. They are on the inside of the parallel lines, but on the outside of the transversal.

Angles with the same size that occur on opposite sides of the transversal line are known as alternate angles. The following alternate angles are equal: By drawing a Z shape, we can frequently identify interior alternate angles: Alternate angles are classified into two types: alternate interior angles and alternate exterior angles.

To understand alternate interior angles, imagine a set of parallel lines and then a line intersecting them. The intersecting line is known as a transversal, and all of the angles formed by the parallel lines are known as interior angles.

Both angles are interior angles that lie alternately to each other on the transversal line r. Therefore, they are alternate interior angle.

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We multiply by -3/2 to get rid of y and figure out the system of equations.

A mathematical assertion that has an "equal to" symbol between two expressions with equivalent values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including straight, quadratic, cubic, and others.

So, we have:

9x+3/4y=6 and 2x+1/2y=9

By removing y, we must solve a system of equations.

Therefore, we will first make the y-coefficient equal but with the opposite sign.

In the first equation, the y-coefficient is 3/4

The coefficient of y in equation two is half.

LCM: 3/4 and 1/2 = 3/2
To maintain the same coefficient of y, multiply the second equation by -3/2.

-3/2*2x-3/2*1/2y = -3/2*9

-3x-3/4y = -27/2

9x+3/4y = 6

Combine the two equations and get rid of the y variable.

-3x+9x = -27/2+6

6x = -15/2

x = -5/4

Therefore, we multiply by -3/2 to get rid of y and figure out the system of equations.

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Complete question:

Given the equations 9x+3/4y=6 and 2x+1/2y=9, by what factor the equation to eliminate y and solve the system through linea would you multiply the second equation to eliminate y and solve the system through linear combinations?

Options;

A.) -4/3

B.) -3/4

C.) -3/2

D.) -7/2

sin I=opposite/hypothesis

sin I=√57/10

sin I=0.754983

=0.75

The mean and standard deviation obtained from simulations may differ from the true mean

standard deviation of a negative binomial distribution with parameters $r=0.6$ and $p=10$. However, with a large number of simulations, the mean and standard deviation from the simulations should approach the true mean and standard deviation of the distribution.

In general, the mean of a negative binomial distribution with parameters $r$ and $p$ is $r \cdot (1-p)/p$, and the standard deviation is $\sqrt{r \cdot (1-p)/p^2}$.

These formulas can be used to calculate the true mean and standard deviation of a $nb(0.6,\ 10)$ distribution.

Comparing the simulated mean and standard deviation to the true values can help assess the accuracy of the simulation results.

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Answer:

domain=5,12,3

range=0,4,-3

Answer:

25%

Explanation:

The percent of increase can be calculated using the following equation

So, replacing the final value by 9 pounds and the initial value by 7.2 pounds, we get:

Therefore, the percent of increase is 25%