PLEASE HELP. A Ferries wheel has a diameter of 100 ft. The center of the wheel is 60 feet off the ground. If it takes the Ferries wheel 12 seconds to make a full rotation, find the height of a rider 2 seconds after he passes position A, the right most point on the wheel.

Answer choices:

A. 103.30 ft
B. 80.34 ft
C. 74.40 ft
D. 101.96 ft

After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

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Answer:

5) First you have to find x, then use it with supplementary angles theorem.

6) STQ = 150˚

Step-by-step explanation:

To find x, add (2x+8), (71-x), and 90˚ together to add up to 180˚ (those three angles are supplementary):

(2x+8) + (71-x) + 90 = 180˚

x + 169 = 180

Then solve for x:

x = 11

You can check if x is right by inputing it back into the two equations and see if all three of the angle measures together equal 180˚.

Now, you only need m∠MTS (2x+8) to find m∠STQ...

m∠MTS + m∠STQ = 180˚ because they are supplementary angles.

Input the found x to find m∠MTS:

(2(11)+8) = 30

Subtract 30 from 180 to find m∠STQ:

180 - 30 = 150

m∠STQ = 150˚

Hope this helped :)

a) It is not possible for everyone in a group of 5 friends to have exactly two friends.

b) It is possible for everyone in a group of 5 friends to have exactly three friends.

(a) It is not possible for everyone in a group of 5 friends to have exactly two friends. To see why, suppose that each person has exactly two friends. This means that each person is connected to two other people in the group. If we start at any person in the group, we can follow their connections to the other people in the group.

Since each person has only two friends, the connections will form a chain or loop. However, if we keep following the connections, we will eventually return to the original person, forming a loop. This means that the group must be connected in a loop or chain, but this is impossible with 5 people.

(b) It is possible for everyone in a group of 5 friends to have exactly three friends. One example is the complete graph on 5 vertices, denoted K5, where every vertex is connected to every other vertex. In this graph, every person has exactly 4 friends, since they are connected to all of the other people in the group.

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The complete polynomial can be written as:

g(x) = 5x^6 + x^5 + 9x^3 - 12x - 125

Yes, that's correct! The function g(x) is a polynomial of degree 6, which means the highest power of x in the equation is 6. The coefficients of the polynomial are:

The coefficient of x^6 is 5

The coefficient of x^5 is 1

The coefficient of x^4 is 0 (since it's not listed)

The coefficient of x^3 is 9

The coefficient of x^2 is 0 (since it's not listed)

The coefficient of x is -12

The constant term is -125

So, the complete polynomial can be written as:

g(x) = 5x^6 + x^5 + 9x^3 - 12x - 125

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Answer:

6,144 i think :))

Step-by-step explanation:

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(a)  P(3, -8), Q(1, -12)

(b)

(i)  x = -1, 4

(ii)  x = 1, 2

(c) Drawn Below, refer to the red line. Equation: x = 1.5

Given Equation's:

Part A

Coordinates of points: P(3, -8), Q(1, -12)

Part B

From the graph identify:

(i) 2x² - 6x - 8 = 0       || Solution: x = -1, 4

(ii) 2x² - 6x = -4          || Solution: x = 1, 2

Part C

Symmetry of a parabola is at the middle, dividing the curve in equal parts.

Equation: x = 1.5

Answer:

true

Step-by-step explanation:all cells have a cell membrane but not all have cell walls

The results generated in the map phase are combined in the _reduce_ phase.

In maps, the "reduced phase" refers to a technique used to remove the phase ambiguity present in interferometric synthetic aperture radar (InSAR) data. InSAR uses radar to measure the distance between a satellite or aircraft and the ground and can be used to create detailed maps of changes in the surface of the earth over time.

However, because InSAR data is collected using radar waves, which are sensitive to the phase of the signal, the data can be affected by phase ambiguities. The reduced phase technique is used to remove these ambiguities and create more accurate maps.

Therefore, The results generated in the map phase are combined in the _reduce_ phase.

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The correct statement is :David started at 0 instead of 2

A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.

Given here: In a number line the interval (-5,5) is marked and 2 to 5 is 3

The right steps are

Add 3 to 2 to obtain the required number as there are 3 spaces between 2 and 5

Thus 2+3=5 which is the required answer

but David addes 2-3=-1 which is incorrect.

Hence, David started at 0 instead of 2

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The expected difference under null hypothesis can be understood by the following :

The required null and alternate hypothesis will be

Null hypothesis :  H0 : μ=μ0

Alternate Hypothesis: H1 : μ<μ0

To determine whether there is a difference in the means of two populations, the z test formula compares the z statistic to the z critical value.

The z critical value in hypothesis testing divides the distribution graph into acceptance and rejection regions. The null hypothesis can be rejected if the test statistic falls within the rejection region; otherwise, it cannot be rejected.

The z test formula  to set up the required hypothesis tests for a one sample and a two-sample z test is

z = (( x−μ) /σ/√n  )x

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Convert the inequality to interval notation: a > 10:

(10, ∞)

Answer:

56

Step-by-step explanation:

Answer: y = -1/2x -4

Step-by-step explanation:

To solve for y, subtract 2x on both sides

2x-2x + 4y = -16 - 2x

Simplify

4y = -16 - 2x

Divide by 4 on both sides to get y by itself

4y/4 = -16 - 2x/4

Simplify

y = -4 - 1/2x

Switch the right-side terms to write them in slope-intercept form

y = -1/2x -4

L((7,8)) = (-9,23).  To find the value of L((7,8)), we can use the linearity property of the linear operator L.

Since L is a linear operator, we can express any vector in R² as a linear combination of the basis vectors (1,0) and (0,1).

We have L((1,2)) = (-2,3) and L((1,-1)) = (5,2). Therefore, we can express (7,8) as (7,8) = 7(1,2) + 1(1,-1).

Using the linearity property, we can distribute the linear operator L over the linear combination:

L((7,8)) = L(7(1,2) + 1(1,-1))

= 7L((1,2)) + L((1,-1))

= 7(-2,3) + (5,2)

= (-14,21) + (5,2)

= (-9,23)

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Thus, the company must consider fixed monthly payments of amount $497.92 into the account to reach $97,000 in 13 years.

To find the monthly payment needed to reach $97,000 in 13 years, we can use the sinking fund formula:

FV = PMT * [(1 + i)^n - 1] / i

where:
FV = future value ($97,000)
PMT = monthly payment (unknown)
i = monthly interest rate (3.2% compounded monthly, which is 0.032 / 12 = 0.002667)
n = number of months (13 years * 12 months/year = 156 months)

Rearrange the formula to solve for PMT:

PMT = FV * i / [(1 + i)^n - 1]

PMT = 97,000 * 0.002667 / [(1 + 0.002667)^156 - 1]

PMT ≈ 497.92

So, the company should make fixed monthly payments of approximately $497.92 into the account to reach $97,000 in 13 years.

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The theater has a total of 945 seats.

To determine the number of seats in the theater, we need to calculate the sum of seats in each row. The first row has 25 seats, and each subsequent row increases by one seat. Since there are 35 rows in total, we can calculate the sum of an arithmetic series to find the total number of seats.

The formula for the sum of an arithmetic series is Sn = (n/2) * (a1 + an), where n is the number of terms, a1 is the first term, and an is the last term. In this case, n = 35 (number of rows), a1 = 25 (number of seats in the first row), and an = a1 + (n - 1) = 25 + (35 - 1) = 25 + 34 = 59 (number of seats in the last row). Plugging these values into the formula, we get Sn = (35/2) * (25 + 59) = 17.5 * 84 = 1470. Therefore, the theater has a total of 945 seats.


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The calculated value of 9.76 should be rounded to 10 for use in the table.

In a two sample test of means with unknown and unequal population variances, the degrees of freedom is calculated as 9.76. When using the t-distribution table, it is important to note that the table only lists integer values for degrees of freedom.  

Therefore, we must round the calculated degrees of freedom to the nearest integer value.

In this case, the nearest integer to 9.76 is 10. Therefore, when using the t-distribution table for this two sample test of means, we should use 10 as the degrees of freedom value.

It is important to note that rounding the degrees of freedom can have a small effect on the accuracy of the results, particularly if the calculated value is close to an integer value. However, in most cases, rounding to the nearest integer is a reasonable approximation.

In summary, when calculating degrees of freedom for a two sample test of means with unknown and unequal population variances, it is important to round to the nearest integer value when using the t-distribution table. In this case, the calculated value of 9.76 should be rounded to 10 for use in the table.

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If the mean, median, and mode of a sample are all the same value, it suggests that the data is likely symmetrical and the mode is the most frequent value.

it does not necessarily imply that the researcher can be 100% sure about the population mean or that a computational error has occurred. A larger sample size may not be required solely based on the equality of mean, median, and mode in small datasets.

Explanation:

The fact that the mean, median, and mode are all the same value in a sample indicates that the data is symmetrically distributed. This symmetry suggests that the data has a balanced distribution, where values are equally distributed on both sides of the central tendency. This information can be helpful in understanding the shape of the data distribution.

However, it is important to note that the equality of mean, median, and mode does not guarantee that the researcher can be 100% certain about the population mean. The sample mean provides an estimate of the population mean, but there is always a degree of uncertainty associated with it. To make a definitive conclusion about the population mean, additional statistical techniques, such as hypothesis testing and confidence intervals, would need to be employed.

Option C, stating that a computational error must have been made, is an incorrect conclusion to draw solely based on the equality of mean, median, and mode. It is possible for these measures to coincide in certain cases, particularly when the data is symmetrically distributed.

Option D, suggesting that a larger sample must be taken, is not necessarily warranted simply because the mean, median, and mode are the same in small datasets. The equality of these measures does not inherently indicate that the data is inaccurate or that a larger sample is required. The decision to increase the sample size should be based on other considerations, such as the desired level of precision or the need to generalize the findings to the population.

Therefore, option A is the most appropriate conclusion. It acknowledges the symmetrical nature of the data while recognizing that the mean can be reported but with an understanding of the associated uncertainty.

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Answer:

x = -3

x = 7

Step-by-step explanation:

If either term is zero the product is zero

(2x + 6)(x - 7) = 0

2x + 6 = 0

2x = -6

x = -3

x - 7 = 0

x = 7

Answer:

19654,67397,67923,91945

Step-by-step explanation:

Ascending order mean arrange the number from smaller value to bigger value

Answer:

19654,67397,67923,91945

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Based on the questions, 13 guests are attending her best friend’s baby shower.

Firstly, we need to write down the numbers that are already stated in the question.

43 + 9 × х = 160

Secondly, move the x to continue counting.

9x = 160 – 43

Thirdly, calculate the numbers above.

9x = 117

Then, move the X to get the answer.

X = \(\frac{117}{9}\)

Lastly, try to finish the division.

X = 13

In conclusion, the result shows that 13 guests attend Mrs. Wright’s best friend's baby shower.

The above question is about the algebraic word problem.

A word problem is a math question written in a short story scenario. Usually, it is a simple short story that is easy to understand.

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Sorry, but I only know the following answers:

4. b = -2

5. b = 0

6. b = 0

really sorry :'(

hope this helps, though!

Answer: 5 1/4

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

The minutes hand is vertical pointing straight up.

The hours hand is horizontal pointing right.

The smaller angle between the hands is 90°.

These constants can be determined by applying initial conditions or boundary conditions specific to the problem. Once the values of C1 and C2 are determined, the general solution becomes a particular solution that satisfies the given conditions.

To find the general solution, we assume a solution of the form y(t) = e^(rt) and substitute it into the differential equation. This leads to the characteristic equation r^2 + 11r - 12 = 0.

Solving the quadratic equation, we find two roots: r1 = -12 and r2 = 1. These roots correspond to the exponential terms e^(-12t) and e^(t) in the general solution.

Since the equation is linear, the general solution is the linear combination of the individual solutions associated with the roots. Therefore, the general solution is y(t) = C1e^(-12t) + C2e^(t), where C1 and C2 are constants of integration.

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The pattern of number is more related to Arithmetic Sequence than passwords, or the theory of equations.

An arithmetic progression or arithmetic sequence is a numerical series in which the difference between each subsequent term and the preceding term remains constant throughout the sequence.

The study of algebraic equations, which are equations defined by a polynomial, is known as the theory of equations in algebra. The major difficulty of equation theory was determining when an algebraic equation had an algebraic solution.

Note that the next number can be predicted by the addition of the current number to the  next, hence the sequence.

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Step-by-step explanation:

For an absolute value function, the graph will look like an arrow with a sharp inflection point.

Reciprocal function will tend towards a limit when stretched to infinity.

Cube root and square root functions do not tend towards infinity at x = 0, because it is either 0 or the constant value.

The best answer here is Reciprocal. (B)

Answer:

Step-by-step explanation:

The graphed is the function y = 1/x, it is an odd function and the graph is hyperbola

The function is reciprocal

Correct option is B

Answer:

the mean is the average of all the numbers. first add up all numbers. then divide by how many numbers there are.

hope this helps

The probability that someone who tries to buy tickets both through the internet and by telephone will obtain at least one ticket is equal to 1 minus the probability that they won't obtain a ticket through either method.

The probability that they won't obtain a ticket through either method is equal to the product of the probabilities of not obtaining a ticket through each method, since the events are independent.

Therefore, the probability that someone who tries to buy tickets both through the internet and by the telephone will obtain at least one ticket is:

1 - 0.006 = 0.994 = 0.994 (rounded to four decimal places)

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