Can someone pls help! I'm desperate Tickets to a Broadway show cost $50 for adults and $25 for children. The total receipts for 1710 tickets at one performance were $70,250. How many child tickets were sold?

The area enclosed by the ripple is increasing at a rate of  39.2π ft²/s when the radius is 3 feet. To solve this problem, we need to use the formula for the area of a circle: A = πr^2.

We know that the radius is increasing at a constant rate of 2.8 ft/s, so we can write r = 3 + 2.8t, where t is the time elapsed since the stone was dropped.

We want to find how rapidly the area enclosed by the ripple is increasing, which is the same as finding the derivative of the area with respect to time:

dA/dt = d/dt(πr^2)

Using the chain rule, we can simplify this to:

dA/dt = 2πr(dr/dt)

Now we can substitute in the expression we have for r:

dA/dt = 2π(3 + 2.8t)(2.8)

When the radius is 3 feet, we have:

dA/dt = 2π(3 + 2.8t)(2.8)

dA/dt = 39.2π ft^2/s

So the area enclosed by the ripple is increasing at a rate of 39.2π square feet per second when the radius is 3 feet.

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The correct result of the dilation of line segment x y using a scale factor of two-thirds through point p would be line segment c. (Option C)

This is because a dilation with a scale factor of two-thirds would result in a smaller line segment than the original. The scale factor is the ratio between the corresponding sides. Consider the point X. It is 12 units away from P. To find the correct result of the dilation, we can use the formula: new length/original length = scale factor. In this case, the original length of line segment x y is 12 units, and the scale factor is two-thirds.

Using the formula, we can calculate the new length:
new length = 12 x (2/3) = 8 units

Since line segment c is 8 units from the point the point p. Therefore, the correct answer is option C) Line c.

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Answer:

Step-by-step explanation:

its option C

Answer:

3060

Step-by-step explanation:

Answer:

3,060

Step-by-step explanation:

9000 x 0.34 = 9000 x 34/100

9000 x 34/100 = 306000/100

306000/100 and 100/100 = 3060

Answer:

C

Step-by-step explanation:

X has to be bigger than Y. For the first one Y is bigger. The next one Y is also bigger so find one where X is bigger. The answer is C.

Answer:Answer is Letter C., check picture for steps

Step-by-step explanation:

If you need help please let me know at my discord

Acathia#0103

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x<11

Interval Notation:

(−∞,11)

A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:

A normal distribution with,

μ = 9000

σ = 1000

a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.

x = 105000 - 9000 / 1000 ≈ 1.50

Determine the corresponding probability using the normal probability table in appendix,

P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)

= 1 - 0.9332 = 0.0668.

b) n = 15

The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.

The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

μ = 1000/√15 = 258.19

c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

The z-value is the sample mean decreased by the population mean, divided by the standard deviation:

z = x-u/σ/√n = 10500-9000/1000√15 = 5.81

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Answer:

Step-by-step explanation:

91.531

Answer:

91.531

Step-by-step explanation:

Since they have different decimal places, you have to change the decimal place for the numbers. So, since 67.201 has a decimal place in the hundredths and the others don’t we’re going to add extra zeros to them so they line up. 5.430 and 18.900.

First, lets do 1 at a time.

5.430

+

18.900

=

24.330

+

67.201

= 91.351.

Answer: no they are not

Step-by-step explanation: while if you like divide 5 by 8 you get 0.625, but you do  3 by 4 than you get 0.75.

Answer:

3/4 is actually greater than 5/8, not equal to.

To see if the two fractions are equivalent, it's best recommended that we change the denominators to a common integer to see if they have the same numerator. A integer that is shared by both four and eight is sixteen, so you would need to multiply the denominators by a integer that would equal to sixteen, and then multiply the numerators by that same integer to find out its new value. In this scenario, four is multiplied by four to get sixteen and eight is multiplied by two to get sixteen as well. Next, multiply three by four and five by two to find out the numerators for the fractions. The fractions should now be twelve-sixteenths and ten-sixteenths. The last step is to compare the numerators to see if one is less than, greater than, or equal to the other.

3/4 ? 5/8  

(4 · x) = 16  ?  (8 · x) = 16

(3 x 4) / (4 x 4) = 12/16  ?  (5 x 2) / (8 x 2) = 10/16

12/16 ? 10/16

12 > 10, ∴ 3/4 > 5/8

The equation that shows the relationship is w = 38m.

If Mrs. Lopez types at a constant rate, then the number of words she types is directly proportional to the amount of time she types. We can express this relationship using the formula:

w = km

where w is the number of words typed, m is the number of minutes spent typing, and k is the constant of proportionality.

We are given that k = 38, so we can substitute this value into the formula to get:

w = 38m

Therefore, the equation that shows the relationship between the number of words Mrs. Lopez types and the number of minutes she types is w = 38m.

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Answer:

Step-by-step explanation:

5/14 + (-14/5) =

5/14 - 14/5 =

(25 - 196)/70 =

-171/70

Answer:

B. $54

Step-by-step explanation:

PEMDAS: Do multiplication and division first

65 - (2*7=14) + (9/3=3)

65-14+3

Go from left to right and solve

51+3=54

The answers are explained in the solution.

Given is a circle F,

The central angle = ∠GFH

The semicircle = arc GJI

The major arc = arc GJH

Since, the measure of semicircle is 180°, therefore,

The semicircle = arc GJI = 180°

We know that the measure of arc intercepted by the central angle is equal to the measure of the central angle.

Therefore, ∠GFH = 125°

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The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

Clark Property Management should expect to experience some consecutive years with higher compressor failure rates.

Let X represent the number of AC compressor failures. Thus, the probability distribution of X is as follows :

Number of Compressor Failures Probability (Relative Frequency)

0 0.061 0.132 0.253 0.284 0.205 0.076 0.01.

We will select two-digit random numbers from a table of random numbers. We will simulate 20 years of compressor failure.

As a result, there will be a total of 20 values of X, each representing a year's worth of data.

We may now determine whether it is typical to have three or more consecutive years with two or fewer compressor failures per year.

The Monte Carlo simulation is used to complete this task. We may use an online random number generator if a table of random numbers is not available.

Monte Carlo simulation is a statistical modeling method that employs random sampling techniques to simulate the output of a complicated system.

It is a stochastic modeling technique that allows for uncertainty and risk evaluation in complex systems where deterministic methods are insufficient.

Monte Carlo simulation generates random input values for a system with a mathematical model, allowing it to calculate possible outcomes.

These results are then used to generate probability distributions of potential results.

In essence, the Monte Carlo simulation is an experiment conducted on a computer that provides insight into the degree of risk related to decision-making.

1. Set up a model: Determine the system and create a mathematical model that will be utilized in the Monte Carlo simulation.

2. Define input values: Identify the variables that will affect the model's output and define input probability distributions for each.

3. Generate random numbers: Using the input probability distributions, generate random numbers for each variable

4. Run simulations: Run a large number of simulations using the random numbers generated in step 3.

5. Analyze the results: Using the outputs of the Monte Carlo simulation, estimate potential outcomes and the likelihood of different results.

6. Make decisions: Use the data and insights obtained from the Monte Carlo simulation to inform your decision-making.

After conducting the Monte Carlo simulation, it was determined that it is unusual to have three or more consecutive years with two or fewer compressor failures per year.

The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

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The probability that the sum of the rolls is divisible by 6 is 1/1296, which is approximately 0.00077 or 0.077%.

To find the probability that the sum of the rolls is divisible by 6, we need to determine the favorable outcomes and the total number of possible outcomes.

First, let's identify the favorable outcomes. In this case, the sum of the rolls can be divisible by 6 if the sum is either 6 or 12.

1. For the sum of 6:
  - One possible outcome is rolling a 6 on the first roll and rolling a 1 on the remaining four rolls.
  - Another possible outcome is rolling a 5 on the first roll and rolling a 2 on the remaining four rolls.
  - We can also have rolling a 4 on the first roll and rolling a 3 on the remaining four rolls.
  - Similarly, rolling a 3 on the first roll and rolling a 4 on the remaining four rolls.
  - Finally, rolling a 2 on the first roll and rolling a 5 on the remaining four rolls.
  - This gives us a total of 5 favorable outcomes.

2. For the sum of 12:
  - One possible outcome is rolling a 6 on all five rolls.
  - This gives us a total of 1 favorable outcome.

Now let's determine the total number of possible outcomes. Since we are rolling a fair 6-sided die 5 times, the total number of possible outcomes is 6^5 (since each roll has 6 possible outcomes).

Therefore, the probability that the sum of the rolls is divisible by 6 is:

(total number of favorable outcomes) / (total number of possible outcomes)
= (5 + 1) / (6^5)
= 6 / 7776
= 1 / 1296

So, the probability that the sum of the rolls is divisible by 6 is 1/1296, which is approximately 0.00077 or 0.077%.

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Answer:

= -24 * 1/4

-24/4

= -6

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Answer:

y = \(\frac{-1}{2}x^{2}\) + 4x + 0

Step-by-step explanation:

y = -1/2x(x-8)  (distributive property of equality)

y = -1/2x^2 + 4x + 0

Vertex form : y = ax2 + bx + c

There is no C so you can also represent that by putting a zero so,

y = -1/2x^2 +4x + 0,

Which is the same as,

y = \(\frac{-1}{2}x^{2}\) + 4x + 0

exept

less confusing lol.

Ace Carlos

Answer:

A inch

Step-by-step explanation:

Answer:  B rectangular pyramid and D rectangular prism

Step-by-step explanation:

The first word tells you what the base is.

So if the first word is triangular, the base is triangular

The second word tells you if it's pointed on top or columned like a cylinder.  

Pyramid means pointed, like egyptian pyramids.  prism means columned like a cylinder.

Second word doesn't matter  because if you are slicing horizontallly the shapes will be same going upwards

So, Answer is B and D

Answer:

1 for each friend

Step-by-step explanation:

Answer:

1,942,364

Step-by-step explanation:

   1 8 4 9 0 3 2

+        9 3 3 3 2

------------------------

   1 9 4 2 3 6 4

Joseph now has 1,942,364 apples.

No. of apples Joseph had in the beginning = 93332

No. of apples he gets more = 1849032

Total no. of apples he has now = 93332 + 1849032

= 1,942,364

The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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Step-by-step explanation:

Think of it as a ratio problem.

Tom gets his haircut every 4 weeks and David gets his haircut every 6 weeks. So you can write it as 4:6.

The easiest way that I know of to do this is to find multiples.

4: 4x2=8 4x3=12

6: 6x2=12

So the twelfth week they will get their haircuts the same day.

The simplified expressions are (2a + 2b + 4)^2, (5 + 2x + y + 2z)^2, (3 + z)^2 (2p + q - 1)^3 and (5+q)^3

The distributive property states that:

a^x * b^x = (ab)^x

So, we have:

(a+b)^2 (a+1)^2 (3+b)^2

(a+b)^2 (a+1)^2 (3+b)^2 = (a + b + a + 1 + 3 + b)^2

Evaluate the like terms

(a+b)^2 (a+1)^2 (3+b)^2 = (2a + 2b + 4)^2

(3+1)^2 (x+y+z)^2 (x+1+z)^2

(3+1)^2 (x+y+z)^2 (x+1+z)^2 = (3 + 1 + x + y + z + x + 1 + z)^2

Evaluate the like terms

(3+1)^2 (x+y+z)^2 (x+1+z)^2 = (5 + 2x + y + 2z)^2

(3+z)^2 (p+q)^3 (p-1)^3

(3+z)^2 (p+q)^3 (p-1)^3 = (3 + z)^2 (p + q + p - 1)^3

Evaluate the like terms

(3+z)^2 (p+q)^3 (p-1)^3 = (3 + z)^2 (2p + q - 1)^3

(5+q)^3

This cannot be further expanded

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The critical values for the 95% confidence interval for the population standard deviation with n=15 and α=0.05 are 6.262 and 26.119

To determine the critical values for the confidence interval for the population standard deviation, we need to use the chi-square distribution with (n-1) degrees of freedom.

With n=15 and α=0.05, we can find the critical values using a chi-square table or a calculator. For a 95% confidence interval (α=0.05), the critical values are:

Lower critical value = chi-square value at (n-1) degrees of freedom and α/2 = chi-square value at 14 degrees of freedom and 0.025 = 6.262

Upper critical value = chi-square value at (n-1) degrees of freedom and 1-α/2 = chi-square value at 14 degrees of freedom and 0.975 = 26.119

Therefore, the critical values for the 95% confidence interval for the population standard deviation with n=15 and α=0.05 are 6.262 and 26.119 (rounded to three decimal places).

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A portable cooler with dimensions 19 inches * 14 inches * 14 inches has a volume of 3724 cubic inches.

A prism is a 3-Dimensional shape that is bound by plane figures on all sides. The ends face of the prism are identical and are called bases. A rectangular prism is known as a cuboid. All the faces of the prism are rectangles and it has 6 faces, two on ends and 6 laterally.

Volume is the measurement of space that is occupied by an object. The volume of the cuboid is calculated by

V = l * b * h

l is the length of the cuboid

b is the breadth of the cuboid

h is the height of the cuboid

Given, l = 19 inches

b = 14 inches

h = 14 inches

V = 19 * 14 * 14

= 3724 cubic inches

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Answer:

4/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pi is defined as the ratio of a circles circumference and its diameter. It is fundamental in finding the area of circles, area of spheres, area of cylinders, pretty much all type of geometry. In more advanced topics like calculus and field theories, it is again fundamental for the geometry involved. If pi would somehow "not exist" modern society would probably fail. Most modern physical theories rely on its existence

Answer:

Pi is used to find the area and circumference of a circle. Pi can be used to find an area by multiplying the radius of the circle squared times pi.

Step-by-step explanation:

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