Let y=2 for each equation. Find the value of x.

3x-2y=1

1. (4a - 5)+(3a + 6) = 7a + 1.
To solve, you simply combine the like terms (4a and 3a) to get 7a, and then combine the constants (-5 and 6) to get 1.

2. (6x + 9)+ (4x^2 - 7) = 4x^2 + 6x + 2.
To solve, you combine the like terms (6x and 4x^2) to get 4x^2 + 6x, and then combine the constants (9 and -7) to get 2.

3. (6xy + 2y + 6x) + (4xy - x) = 10xy + 2y + 6x - x = 10xy + 2y + 5x.
To solve, you combine the like terms (6xy and 4xy) to get 10xy, then combine the constants (2y and -x) to get 2y - x, and finally combine the like terms (6x and 5x) to get 11x. The final answer is 10xy + 2y + 5x.

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Answer:

\(x=\frac{9}{4}, 2\frac{1}{4} , or 2.25\)

Step-by-step explanation:

\(\frac{x}{6} =\frac{3}{8} \\\\8x=18\\x=\frac{18}{8} \\\\x=\frac{9}{4}\)

Answer:250

Step-by-step explanation:5((6(8))+2)=250 using pemdas start with parenthesis so 6*8=48 this puts the equation at 5(48+2) then do the parenthesis again so 48+2=50 this puts the equation at 5*50 then do your last step which will give you your answer of 250

Answer:

x>2

Step-by-step explanation:

Step 1: Subtract 60x from both sides.

100x−200−60x>60x−120−60x

40x−200>−120

Step 2: Add 200 to both sides.

40x−200+200>−120+200

40x>80

Step 3: Divide both sides by 40.

40x/40> 80/40

x>2

Hope this helped :)

(a) The sampling distribution of p-hat1 - p-hat2 can be approximated by a normal distribution. According to the Central Limit Theorem, when the sample sizes are large enough , the sampling distribution of the difference in sample proportions will be approximately normal, regardless of the shape of the population distributions. Therefore, the shape of the sampling distribution of p-hat1 - p-hat2 is approximately normal.

(b) The mean of the sampling distribution of p-hat1 - p-hat2 can be calculated as:

mean = p1 - p2

where p1 is the population proportion of orange M&M's milk chocolate candies and p2 is the population proportion of orange peanut M&M's.

mean = 0.20 - 0.23 = -0.03

The standard deviation of the sampling distribution of p-hat1 - p-hat2 can be calculated using the formula:

standard deviation = sqrt((p1(1 - p1) / n1) + (p2(1 - p2) / n2))

For M&M's milk chocolate candies:

p1 = 0.20 (proportion of orange M&M's milk chocolate candies)

n1 = 240 (sample size of M&M's milk chocolate candies)

For peanut M&M's:

p2 = 0.23 (proportion of orange peanut M&M's)

n2 = 240 (sample size of peanut M&M's)

standard deviation = sqrt((0.20(1 - 0.20) / 240) + (0.23(1 - 0.23) / 240))

(c) To find P(p-hat1 - p-hat2 > 0), we need to calculate the probability that the difference in sample proportions is greater than zero. This can be interpreted as the probability of observing a greater proportion of orange M&M's milk chocolate candies than orange peanut M&M's.

To calculate this probability, we need to standardize the sampling distribution using the mean and standard deviation calculated in part (b) and then find the area under the normal curve to the right of zero.

Let Z be the standard normal variable.

Z = (p-hat1 - p-hat2 - mean) / standard deviation

Z = (0 - (-0.03)) / standard deviation

Using the calculated mean and standard deviation, we can find the corresponding Z-score and then find the area to the right of zero using a standard normal table or calculator. This area represents P(p-hat1 - p-hat2 > 0), the probability of observing a greater proportion of orange M&M's milk chocolate candies than orange peanut M&M's.

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Answer:

C

Step-by-step explanation:

we can use the quadratic formula, which states that the roots of the equation ax^2 + bx + c = 0 are given by:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = -10, b = 12, and c = -9. Substituting these values into the formula, we get:

x = (-12 ± sqrt(12^2 - 4(-10)(-9))) / 2(-10)

x = (-12 ± sqrt(144 - 360)) / (-20)

x = (-12 ± sqrt(-216)) / (-20)

The expression under the square root is negative, so we can simplify it as follows:

sqrt(-216) = sqrt(216) * sqrt(-1) = 6sqrt(6)i

Substituting this back into the equation for x, we get:

x = (-12 ± 6sqrt(6)i) / (-20)

x = (3/5) ± (3sqrt(6)i)/10

Therefore, the roots of the equation are:

x = 3/5 + (3

Answer: No although the expressions are equivalent by the distribute property, it is not in simplest form because when we combine 6.5x and 3.25x as they are like terms the simplified expression is 9.75x + 6.5

Step-by-step explanation: hope this helps

Answer: the first 6000 digits of pi are 3.1415926535 8979323846 2643383279

Step-by-step explanation:

The probability that the next two customers would both select popcorn is 1/78.

Probability is the odds that a random event would happen. The odds that the random event happens has a probability value that lies between 0 and 1. The more likely it is that the event would occur, the closer the probability value would be to one.

The probability that the next two customers would both select popcorn = number of popcorns / total number of snacks x [(number of popcorns / total number of snacks) - 1]

Total number of snacks = 3 + 4 + 6 = 13

2/13 x 1/12 = 1/78

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Answer:

32,500

Step-by-step explanation:

15% of 280 students is 280 * 15% = 42 students

So the 7th grade class had 280 - 42 = 238 students enrolled this year.

The 7th grade class saw a decrease in enrollment by 15%. This means that there were fewer students enrolled in the class compared to the previous year. To calculate the decrease in enrollment, we can find 15% of the total number of students from the previous year. In this case, the 7th grade class had 280 students last year. So, 15% of 280 is 42 students. This means that there were 42 fewer students enrolled this year compared to last year. By subtracting the decrease from the total number of students last year, we get the new enrollment for this year, which is 280 - 42 = 238 students. This is the new number of students enrolled in the 7th grade class this year.

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Complete question:

15% of 280 students is 280 * 15% = 42 students

So the 7th grade class had 280 - 42 = 238 students enrolled this year.

The required return for a stock with a beta of 2.20, a risk-free rate of 2%, and a market risk premium of 6% is 14.39%.  The correct option is c.

To calculate the required return, we can use the Capital Asset Pricing Model (CAPM), which relates the expected return of a stock to its beta, the risk-free rate, and the market risk premium. The formula for CAPM is as follows:

Required Return = Risk-Free Rate + (Beta × Market Risk Premium)

In this case, the risk-free rate is 2% and the market risk premium is 6%. The beta of the stock is given as 2.20. Plugging these values into the formula, we get:

Required Return = 2% + (2.20 × 6%) = 2% + 13.2% = 15.2%

Therefore, the correct answer is option C: 14.39%.

The CAPM is a widely used model in finance to estimate the required return on an investment. It takes into account the risk-free rate, which represents the return on a risk-free investment such as government bonds, and the market risk premium, which represents the additional return investors expect to receive for taking on the risk of investing in the overall market.

The beta of a stock measures its sensitivity to market movements, and multiplying it by the market risk premium gives us an estimate of the stock's additional required return. By summing this additional return with the risk-free rate, we obtain the required return for the stock.

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Answer:

14+14 + 4pi= 28 + 4pi

\(\pi\)

The ones digit number is 6 of the number 22006.

Now, According to the question:

In a two-digit number, the value of the digit depends on its position in that number. At one's place, the digit which is at the extreme right is known to be like one's, whereas the digit placed at the leftmost is known to be at ten's.

We have to find the ones digit in the number 22006

Now, Considering the number is 22006

So, the ones digit number is 6

It means the last digit is the ones digit number.

In the Indian numeral system, the place values of digits go in the sequence of Ones, Tens, Hundreds, Thousands, Ten Thousand, Lakhs, Ten Lakhs, Crores and so on.

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Answer:

2.5 inches

Step-by-step explanation:

woot

Answer:

2.5

Step-by-step explanation:

Equation of the new perpendicular line is  \(y - y_{1} = -\frac{1}{4} (x- x_1)\)

How to calculate the new perpendicular line?

The given equation is:

y- 8=4 (x-5)​

This equation is of the point- slope form

\(y- y_{1}= m(x-x_{1})\)

y - 8 = 4( x-5 )​

So, the slope (m) is m = 4

The points \((x_1,y_1) = (5,8)\)

Hence, slope of the line perpendicular to the given line is

m = \(-\frac{1}{4}\)

The equation of the new perpendicular line is :

\(y- y_{1}= m(x-x_{1})\\\\y - y_{1} = -\frac{1}{4} (x- x_1)\)

Since the points through which the line passes  is not given.

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Answer:

(0,2)

Step-by-step explanation:

The equations must be derived from the graph:

First, find the slope of f(x):

\(m=\frac{y_2-y_1}{x_2-x_1}\) let \((x_1,y_1)=(-3,3)\) and \((x_2,y_2)=(3,1)\)

\(m=\frac{(1)-(3)}{(3)-(-3)}\\m=\frac{-2}{6}\\m=-\frac{1}{3}\)

Then use \(y-y_1=m(x-x_1)\)

\(y-3=-\frac{1}{3}[x-(-3)]\\y-3=-\frac{1}{3}x-1\\y=-\frac{1}{3}x+2\\f(x)=-\frac{1}{3}x+2\)

For g(x), let:

\((x_1,y_1)=(-3,0)\\(x_2,y_2)=(0,2)\)

\(m=\frac{(2)-(0)}{(0)-(-3)}\\m=\frac{2}{3}\)

\(y-0=\frac{2}{3}[x-(-3)]\\y=\frac{2}{3}x+2\\g(x)=\frac{2}{3}x+2\)

Now, to solve for x, allow the two expressions written in terms of x equal each other.

\(-\frac{1}{3}x+2=\frac{2}{3}x+2\\(-\frac{1}{3}x+2)+\frac{1}{3}x=(\frac{2}{3}x+2)+\frac{1}{3}x\\2=x+2\\(2)-2=(x+2)-2\\x=0\)

To solve for y, substitute 0 for x in f(x):

\(y=-\frac{1}{3}x+2\\y=-\frac{1}{3}(0)+2\\y=0+2\\y=2\)

So, the solution to this system of equations would be the ordered pair (0,2).  This solution is seen on the graph as the intersection of the two lines.

Answer:

<2= 23°

Step-by-step explanation:

180°- 95°= 85°

(95° is on a straight line, angles on a straight line adds up to 180° so 95° is being subtracted from 180°. Therefore the next angle in the triangle will be 85°)

To find <2

180- (85°+ 72°)

(Angles on a triangle adds up to 180°)

180- 157

= 23

Answer:

x(x+11)

Step-by-step explanation:

x^2+11x

Factor out x

x*x+11x

x(x+11)

The uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

To calculate the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ for the given wave packet, we need to find the expectation values of the observables (x^ - ⟨x⟩)^2 and (p^ - ⟨p⟩)^2, respectively.

The wave packet is represented by the function ψ(x) = [2πa^2]^(1/2) exp[-4a^2(x - ⟨x⟩)^2 + iℏpx]. Here, a is a constant, ⟨x⟩ represents the expectation value of x, and p is the momentum operator.

To find ⟨Δx^2⟩, we calculate the expectation value of (x^ - ⟨x⟩)^2 with respect to ψ(x). By integrating (x - ⟨x⟩)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δx^2⟩ = a^2/2.

Similarly, to find ⟨Δp^2⟩, we calculate the expectation value of (p^ - ⟨p⟩)^2 with respect to ψ(x). Since p is the momentum operator, its expectation value is ⟨p⟩ = 0 for the given wave packet. By integrating (p^ - 0)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

Therefore, the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

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The scaling property of the Fourier transforms states that if we scale the function g(t) by a constant factor c, then its Fourier transform G(jw) will be scaled by a factor of 1/|c| and shifted by a factor of c.

This property can be expressed mathematically as follows:

F{g(ct)} = ∫ g(ct) \(e^{(-jw t)}\) dt

Let u = ct, then du/dt = c, and dt = du/c

Substituting this in the above equation, we get:

F{g(ct)} = ∫ g(u) \(e^{(-jw u/c)}\) du/c

= (1/c) ∫ g(u) e^(-jw u/c) du

= G(jw/c) / |c|

Therefore, we can conclude that the Fourier transform of a scaled function is obtained by scaling the Fourier transform of the original function by a factor of 1/|c|. This property is useful in signal processing and communication systems where signals are often scaled before transmission or processing.

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Answer:

-3, 3

6,21

9,-9

Step-by-step explanation:

Answer:

> Your coordinates are; -3, 3 || 6, 21 || 9, -9

Step-by-step explanation:

> I hope this solves your problem correctly.

So the probability that a randomly selected song had 501-1,000 plays given that the song was country is 7/12, or approximately 0.583.

To find the probability that a randomly selected song had 501-1,000 plays given that the song was country, we need to use conditional probability.

Using Bayes' theorem, we have:

P(B|A) = P(A|B) * P(B) / P(A)

We can find each of these probabilities from the given information:

P(A) = (7+3)/(7+3) = 1 (since all songs recorded were either country or rock)

P(B) = (7+2)/(7+3+2) = 9/12 (since 9 out of the 12 songs recorded had 501-1,000 plays)

P(A|B) = P(A and B) / P(B) = 7/9 (since out of the 9 songs with 501-1,000 plays, 7 were country)

Therefore,

P(B|A) = (7/9) * (9/12) / 1

P(B|A) = 7/12

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Answer: To find arc length, find the change in angle. Here to would be 360 -315 = 45. then use 2π x 11 (\(\frac{45}{360}\)) and solve.

To find sector: (θ/360º) × πr2

θ = 60.

r = 10

Please try to write it better than this.

The graph 1 represents the subtraction of given vectors.

Hence option (a) is correct.

The given vectors are

vector c = < 5, 2 , -4>

vector d = < 6, -3, -2>

To show the graphical representation of subtraction of vectors

We add the vectors after changing the direction vector which would be subtracted.

Now ,

vector c - vector d = < 5, 2 , -4> - < 6, -3, -2>

                               = < 5-6, 2+3, -4+2 >  

                               = < -1, 5, -2 >

Thus,

vector c - vector d = < -1, 5, -2 >

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Answer:

I could but can you please put down the problem.

Step-by-step explanation:

Answer:

the graph is the one with h(x)=2x-6

Step-by-step explanation:

it will hit the y-axis at (0,-6) and it will hit the x-axis at (3,0)

The graph of h(x)=p(x)-6 is shown below.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

We are given that;

p(x)=2x

Now,

To find the graph of h(x) = p(x) - 6, we need to use the concept of transformations of functions. A transformation is a change in the position, shape, or size of a function’s graph.

To graph h(x), we can start by graphing p(x) = 2x and then shifting it down by 6 units. The graph of p(x) is a straight line that passes through the origin and has a slope of 2. To shift it down by 6 units, we can subtract 6 from the y-coordinate of every point on the line. For example, the point (1, 2) on p(x) becomes (1, -4) on h(x).

The graph of h(x) is also a straight line that has the same slope as p(x), but has a y-intercept of -6. The equation of h(x) is y = 2x - 6.

Therefore, the graph of the function will be shown below.

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