c) If the system is consistent, approximate the solution. (If the system is inconsistent, enter INCONSISTENT. If the system has an infinite number of solutions, express x and y in terms of the parameter t.) (x, y) = -O (d) Solve the system algebraically. (If the system is inconsistent, enter INCONSISTENT. If the system has an infinite number of solutions, express x and y in terms of the parameter t.) (x, y)

After simplification, 250 tickets sold to students if 150 general admission tickets were sold.

In the given question we have to find the how many student tickets were sold if 150 general admission tickets were sold.

The cost of concert ticket for general admission is $15.

The cost of concert ticket for student is $9.

Total sales of ticket is $4500.

The total 150 ticket sold to general admission.

So the total cost of ticket that received from the general admission is

=150*15 = 2250

Let x number of ticket sold to student.

Then total cost of students ticket is 9x.

Now the expression should be

9x+2250 =4500

Subtract 2250 on both side, we get

9x = 2250

Divide by 9 on both side we get

x = 250

Hence, 250 tickets sold to students  if 150 general admission tickets were sold.

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The right question is

Concert ticket cost $15 for general admission, but only $9 with student ID. Ticket ales total $4500. How many student tickets were sold if 150 general admission tickets were sold?

Answer:

=2×2×2×2×2×2×2×2×2×2

=1024

there are ten 2 so the answer is 1024

Step-by-step explanation:

Answer:

1024

Step-by-step explanation:

Answer:

Identify the input values.

Identify the output values.

If each input value leads to only one output value, classify the relationship as a function.

outputs may repeat but inputs may not if they go to different numbers

Step-by-step explanation:

Answer:

(x²+6x+8)

I hope this helps

Step-by-step explanation:

(x+2) (x+4)

(x²+4x+2x+8)

(x²+6x+8)

\(\\ \sf\longmapsto \dfrac{15}{k}\)

Put the value

\(\\ \sf\longmapsto \dfrac{15}{3}\)

\(\\ \sf\longmapsto 5\)

\(\large\bf{\orange{ \implies}} \tt \: \frac{15}{k} \\ \)

Value of k is 3

\(\large\bf{\purple{ \implies}} \tt \: \cancel\frac{15}{3} \: = \: 5 \: \\ \)

The statement given " With large sample sizes, even small differences between the null value and the true value of the parameter, a difference often called the effect size, will be identified as statistically significant." is true because with a large sample size, the standard error of the mean decreases, making it easier to detect even small differences between the null value and the true value of the parameter.

With a large sample size, the standard error of the mean decreases. This means that the sample mean becomes a more accurate estimate of the true population mean. As a result, it becomes easier to detect even small differences between the null value and the true value of the parameter, which is often referred to as the effect size. The statistical significance of an effect is based on the probability that the observed effect could have occurred by chance alone, and with a large sample size, the likelihood of obtaining a statistically significant result increases.

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Answer:

792.9 in²

Step-by-step Explanation:

Given:

Area of the base of the regular hexagonal prism box (B) = 85.3 in²

Each side length of hexagonal base (s) = 5.73 in

Height of prism box (h) = 18.10 in

Required:

Surface area of the wood used in making the hexagonal prism box

SOLUTION:

Surface area for any given regular prism can be calculated using the following formula: (Perimeter of Base × height of prism) + 2(Base Area)

Perimeter of the hexagonal base of the prism box = 6(5.73) (Note: hexagon has 6 sides.)

Perimeter of base = 34.38 in

Height = 18.10 in

Base area is already given as 85.3 in²

Surface area of the hexagonal prism box \( = (34.38*18.10) + 2(85.3) \)

\( = 622.278 + 170.6 = 792.878 in^2 \)

Surface area of the wood used in making the jewelry box ≈ 792.9 in²

Answer:

-1

Step-by-step explanation:

the line is going down, and the dots are all only one interval away- hope this helps :)

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

a. U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.

b. U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.

c. C0 = ∑t=0[infinity]​(β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.

d.  U0 = ∑t=0[infinity]​(β(1 + r))^tln(ct). This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.

Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income.

a. The optimization problem of the representative agent involves maximizing the present discounted value of utility subject to the period-by-period budget constraint. The Euler equation is derived as follows:

At each period t, the agent maximizes the utility function U(ct) = ln(ct) subject to the budget constraint ct = (1 + r)wt + yt, where wt is the agent's wealth at time t. Taking the derivative of U(ct) with respect to ct and applying the chain rule, we obtain: U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.

b. The Euler equation between time 1 and time 3 can be written as U'(c1) = β(1 + r)U'(c2), where c1 and c2 represent consumption at time 1 and time 2, respectively.

Similarly, we can write the Euler equation between time 2 and time 3 as U'(c2) = β(1 + r)U'(c3). Combining these two equations, we fin

d U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.

c. The present discounted value of optimal lifetime consumption can be written as C0 = ∑t=0[infinity]​(β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.

d. The present discounted value of optimal lifetime utility can be written as U0 = ∑t=0[infinity]​(β(1 + r))^tln(ct).

This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.

e. The present discounted value of lifetime income, denoted as Y0, can be expressed as Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income. The income in each period is multiplied by (1 + γ) to account for the increasing income over time.

This assumption of income growth allows for a more realistic representation of the agent's economic environment, where income tends to increase over time due to factors such as productivity growth or wage increases.

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The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.

To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:

1. Calculate the perimeter of the given rectangular field:

  Perimeter = 2 * (Length + Width)

            = 2 * (120 meters + 80 meters)

            = 2 * 200 meters

            = 400 meters

2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:

  Side length = Perimeter / 2

             = 400 meters / 2

             = 200 meters

3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.

4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:

  Width = Perimeter / 2 - Length

        = 400 meters / 2 - 200 meters

        = 200 meters - 200 meters

        = 0 meters

5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.

In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.

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Answer: (3,-2)

Step-by-step explanation: We're reflecting to the y-axis, thus, we're going to reflect to the right.

(-x,-y) ⇒ (x,-y)

Our current coordinate is (-3,-2)...let's convert it now...

(3,-2)

I hope this helps!

Answer:

(3, -2).

Step-by-step explanation:

When you reflect across the y axis the y coordinate stays the same and the x axis changes sign : (x, y) --> (-x, y).

So B (-3, -2) --> (3, -2).

Answer:

~7.61 births/minute

Step-by-step explanation:

The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

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Answer:

I really don't know , I am in 7th grade

Answer:

x = 121°

Step-by-step explanation:

The lower left vertex and 115 are adjacent and supplementary, thus

left vertex = 180° - 115° = 65°

The angle round a point = 360°, so the top vertex is

360° - 304° = 56°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 65° + 56° = 121°

Answer:

B: 34, 55

Step-by-step explanation:

To get generation 7, the relatives of generation 5 and 6 were added. (8+13=21). So, to get generation 8, you need to add the relatives of generation 6 and 7. (13+21). Then, to get the ninth generation, you add the relatives of 7 and 8. (21+34. In the Fibonacci sequence you add the previous 2 numbers together to get the next number. I hope I explained this well I really tried my best to explain this.

The events of j and c are not independent,

It is False.

What is Probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.

The size of the sample space is C(10, 5).

The number of ways to select the teams so that Alex and Jose are both on the A team is C(8, 3) because once Alex and Jose are placed on the A team, there are C(8, 3) ways to select the remaining three kids for the A team. A similar argument holds for Alex and Jose to be placed on the B team together. Therefore |J| = 2 C(8, 3) and p(J), the probability that Jose and Alex are on either team together,

is 2 C(8, 3)/C(10, 5) = 4/9.

p(J|C) = |J ∩ C|/|C|.

We can use the same reasoning above to conclude that

|C| = 2 C(8, 3).

J ∩ C is the event that Alex is on the same team with both Carl and Jose. The number of ways for Alex, Jose, and Carl to be all on the same team is 2 C(7, 2). (There are two possible teams. Then once the three kids are placed on one of the two teams, there are C(7, 2) ways to select the two other kids for that team.)

p(J|C) = |J ∩ C|/|C|

which is 2 C(7, 2) / 2 C(8, 3) = 3/8.

p(J) = 4/9 ≠ 3/8 = p(J|C).

The events J and C are not independent.

Hence, The events of j and c are not independent,

Therefore, It is False.

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Answer: a. 14.04; b. 26 days

Step-by-step explanation:

Net credit sales = $1,600,000

Beginning account receivable = $108,000.

Ending account receivable = $120,000

The Amaverage accounts receivables will be:

= ($108000 + $120000)/2

= $228000/2

= $114,000

Accounts Receivable turnover will then be calculated as:

= Net sales/Average accounts receivables

= $1600000/$114000

= 14.04

b) Average collection period will be calculated as:

= Number of days in a year/Accounts receivable turnover

= 365/14.04

= 25.997

= 26 days approximately

Chelsea made a mistake in simplifying the equation 3(x-3). To find the solution to 4x-5=2(3(x-3)), we first simplify the expression inside the parentheses.

Now, to isolate the variable x, we need to move the terms with x to one side of the equation. Let's subtract 4x from both sides, which gives us -5-4x=6x-18-4x. Simplifying this, we get -5-4x=2x-18.

Next, let's move the constant terms to the other side. Adding 18 to both sides, we get -5-4x+18=2x-18+18. Simplifying this, we get -4x+13=2x.

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Chelsea made a mistake when subtracting the variable term from both sides. By identifying this error and correctly following the steps, we find that the solution to the equation 4x - 5 = 2 3(x - 3) is x = -7.

Chelsea made a mistake in her work when finding the solution to the equation 4x - 5 = 2 3(x - 3). To determine where she went wrong, let's analyze her steps.

Step 1: Distribute 3 to (x - 3): 4x - 5 = 2 3x - 6.
Step 2: Combine like terms: 4x - 5 = 6x - 12.
Step 3: Move the variables to one side and the constants to the other side. Chelsea may have mistakenly subtracted 4x from both sides instead of 6x. This would result in: -5 = 2x - 12.
Step 4: Solve for x. Chelsea may have then incorrectly added 12 to both sides instead of adding 5, leading to: 7 = 2x.
Step 5: Divide both sides by 2: x = 7/2.

Upon reviewing her work, Chelsea should have subtracted 6x from both sides in Step 3, not 4x. This would have resulted in the equation 2x - 5 = -12. Correctly following the steps would lead to the correct solution: x = -7.

Therefore, Chelsea made a mistake when subtracting the variable term from both sides. By identifying this error and correctly following the steps, we find that the solution to the equation 4x - 5 = 2 3(x - 3) is x = -7.

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The circumcenter can be present at where the  intersection of angle bisectors  is present and whereas incenter is present at the intersection of perpendicular bisectors of a line.

What is triangle ?

Triangle can be defined in which it consists of three sides , three angles and the sum of three angles is always 180 degrees.

They bisected of the angles and observed that the perspective bisectors crossed. They drew the 0.33 bisector and surprised to discover that it too went thru the same factor. They should have notion this became just a coincidence. but after they drew any triangle they located that the attitude bisectors continually intersect at a unmarried point! This ought to be the 'center' of the triangle. Or so they notion.

After some experimenting they observed different unexpected things. for instance the altitudes of a triangle additionally pass via a unmarried point (the orthocenter). but no longer the identical factor as earlier than. another middle! Then they discovered that the medians skip via but any other single factor. not like, say a circle, the triangle manifestly has more than one 'middle'.

The points wherein these various lines go are referred to as the triangle's points of concurrency.

Therefore, The circumcenter can be present at where the  intersection of angle bisectors  is present and whereas incenter is present at the intersection of perpendicular bisectors of a line.

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Answer:

Addition expression: 58+(-27)

Subtraction expression: 58-27

Step-by-step explanation:

1)

Prime factorization of 36 is: 2 x 2 x 3 x 3.

Prime factorization of 196 is: 2 x 2 x 7 x 7.

Prime factorization of 361 is: 19 x 19.

2)

Greatest Common Factor of 126 and 144 is: 18.

Least Common Multiple of 28, 42, and 63 is: 252.

3)

2/3+3/4=17/12.

2/3-3/4= -1/12.

3 2/3 x 1 3/4 = 6 5/12.

Option B

If any doubt leave a comment

Answer:

Step-by-step explanation:

so we can make a system of equations

y=hotdogs

x=hamburgers

you need a combination that sums to 23, so add the two and get 23:

y+x=23

and then you need to account for how much money you have and the cost.

1.50x+1.10y=32.10

still working on it, will edit in rest so that you can see what I did

The graph shown in option (B) represents the solution to the inequality y<1/2x-4

A relation between two mathematical expressions which are not equal is known as inequality.

The inequality symbol is "<" (less than).

So, the line of the graph should be dashed and shaded below the line.

Comparing the graphs given in the question, we can conclude that option (B) is correct.

Hence, the graph in option (B) represents the solution to inequality y<1/2x-4.

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Answer:

B aka y<1/2x-4

Step-by-step explanation:

I did this before

A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{x\;-\;u}{\delta}\)

Where:

Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.

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Complete Question:

Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?

a.) it falls in the general region of the population

distribution

b.) it falls in the common region of the distribution

c.) it is likely to come from the healthy distribution

d.) it is unlikely to come from the healthy distribution

The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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