A company that teaches self-improvement seminars is holding one of its seminars in hillsboro. the company pays a flat fee of $388 to rent a facility in which to hold each session. additionally, for every attendee who registers, the company must spend $11 to purchase books and supplies. each attendee will pay $15 for the seminar. once a certain number of attendee register, the company will be breaking even. what will be the company's total expenses and revenues? how many attendees will that take?

Each circle has a weight of 6.25.

A circle is a shape consisting of all points in a plane that are a given distance from a given point, the center. The distance from the center to any point on the circle is known as the radius. A circle has no sides or corners, and all points along the circle are equidistant from the center.

The weight of each circle can be found by dividing 25 (the total weight) by 4 (the number of circles). Therefore, each circle has a weight of 6.25.

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The average velocity of Gwen over the time interval 0 < t is zero. We need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer.

Given that Gwen runs back and forth along a straight track and her velocity, in feet per second, is modeled by the function v(t) during the time interval 0 < t < 45 seconds; We are to determine the first time at which Gwen changes direction and find her average velocity over the time interval 0 < t.Firstly, we know that velocity is a vector quantity and has both magnitude and direction.

Since she is running back and forth along a straight track, her displacement at any given time t is given by the function s(t), which is the integral of her velocity function v(t).That is, s(t) = ∫v(t)dtWe can find the displacement by taking the definite integral of v(t) from 0 to t. Since Gwen is running back and forth, her displacement will be zero at the times when she changes direction.

Therefore, we need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer. Therefore,t = 45n/πwhere n is an integer. Since we are looking for the first time at which Gwen changes direction, we need to take the smallest positive value of n, which is n = 1.

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Answer:

68.9

Step-by-step explanation:

     Let's take the formula: (C*9/5)+32=F

     Now let's substitute C for 20.5:

(20*9/5)+32=F

36.9+32=F

68.9=F

     So, 20.5 centigrade/celsuis is 68 temperature in fahrenheit.

The pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²

A pentagonal prism is a prism that has two pentagonal bases like top and bottom and five rectangular sides.

Given that, the volume of a pentagonal prism is 360 in³, with a height of 3 inches,

We need to find the area of the base,

We know that, the volume of a pentagonal prism is =

V = 1/4 √(5(5+2√5)·a²h

Where a is the base edge and h is the height,

360 = 1/4·3 √(5(5+2√5)·a²

1/4·√(5(5+2√5)·a² = 120

Since, the base of a pentagonal prism is a pentagon, and the area of a pentagon = 1/4 √(5(5+2√5)·a²

And we have,

1/4 √(5(5+2√5)·a² = 120

Therefore, the base area is 120 in²

Hence, the pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²

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The calculator provides a tool to help the user convert the repeating decimals to fractions.

A decimal is composed of a whole number and a fraction and is separated by a decimal point.

A fraction is a part of a number. It shows us the parts of a whole of something.  

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The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%, since neither Clara nor Charles have either of these recessive genetic conditions.

The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%. Albinism and hemophilia are both recessive genetic conditions, meaning that both parents must have the recessive gene in order for a child to be born with either condition. Since neither Clara nor Charles have either condition, the probability that their first child will be a boy with both albinism and hemophilia is 0%.

The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%, since neither Clara nor Charles have either of these recessive genetic conditions.

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Answer:

The best game I can think of is the game of life

Step-by-step explanation:

Simply because its fun to have different experiences each time you play and can chose whatever

Answer:

Mobile- Animal crossing pocket camp

Step-by-step explanation:

I love this game :3

It's really relaxing and a fun way to pass a few minutes. -Crispin

The location of S" after translating and rotating the rectangle is (-3, -4).

To find the location of S" after translating and rotating the rectangle, we need to follow the two steps in order:

Translation: Apply the rule (x, y) → (x − 2, y − 4) to each vertex of the rectangle to get its new location. The new vertices are:

S'(-4, -3), T'(-4, -1), U'(-2, -1), V'(-2, -3)

Rotation: Rotate the translated rectangle 90° counterclockwise. This means that each vertex will swap its x and y coordinates and the new x-coordinate will be negated. The new vertices after rotation are:

S"(-3, -4), T"(-1, -4), U"( -1, -2), V"(-3, -2)

Therefore, the location of S" is (-3, -4).

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Answer:

12

Step-by-step explanation:

Key first step: 9 - 4 can be simplified to 5! Once you do this, the entire thing becomes much less intimidating.

We now have 2 * 7 - (10 / 5), simplify (10 / 5) to 2.

We now have 2 * 7 - 2, simplify 2 * 7 to 14.

We now have 14 - 2, simplify to find your answer: the expression evaluates to 12.

Answer:

its 1.6

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

Divide like normal, the negative signs cancel out on division and multiplication

Answer: 8/100 or 2/25

Step-by-step explanation:

8% is automatically out of 100% so it would be

8/100

and the simplified version would be 2/25

Answer: 2/25

Step-by-step explanation:

Answer:

Exact Form:

− 1 /3

Decimal Form:

− 0. 3

EF:- 1/3

If you also want the DF (Decimal Form), then the decimal form is - 0.3

Answer:

33.1 years

Step-by-step explanation:

Let x be the number of years it takes for the population to reach 49000.

Starting with a population of 19000 and growing at 4.5% per year, the population after t years can be represented by the exponential function:

P(x) = 19000(1 + 0.045)^x

We want to find the value of x that makes P(x) = 49000.

=> 49000 = 19000(1 + 0.045)^x

Dividing both sides by 19000, we get:

=> 2.57895 = 1.045^x

Taking the logarithm of both sides with base 10, we get:

=> log(2.57895) = x log(1.045)

=> x = log(2.57895) / log(1.045)

=> x ≈ 33.1

Therefore, it will take approximately 33.1 years for the population to reach 49000.

Answer: 21.5 cause i got the answer wrong and they gave me the correct answer

Answer:

Step-by-step explanation:

a man is in a boat that is floating 175 feet from the base of a 200 foot cliff. what is the angle of depression between the cliff and the boat?

A boat is moving 175 feet from the base and a man is in the boat. The height of cliff is 200 feet. We need to find the angle between the cliff and the boat.

We have a right angled triangle where base is 175 ft and height is 200 ft.

We know that tan θ = opposite / adjacent

                             = 200 / 175

                So θ = tan ^-1 (200 / 175)

                So θ = 48.8 degree

Answer:

\(y \frac{1}{2}x - 4 \)

The answer fam is .........

-42/11 (Exact form)

-3.81 (Decimal form)

-3 9/11 (Mixed number form)

Which ever one you needed there they go

Answer:

eight and seventeen hundredths

Step-by-step explanation:

Step-by-step explanation:

To determine if a system of two equations with two unknowns has infinite solutions using matrices, you can perform Gaussian elimination or row reduction on the augmented matrix of the system. If the reduced form of the matrix is the identity matrix, then the system has a unique solution. If the reduced form is a row of zeros except for the last column, then the system has no solution. If the reduced form has a row with all zeros except for the last column being non-zero, then the system has an infinite number of solutions.

In other words, the system has infinite solutions if the row reduced form of the augmented matrix has a row of the form [0 0 c], where c is a non-zero scalar. This means that there is a non-trivial solution that satisfies the equation, indicating that there are infinitely many solutions.

The next day Patsy have t choose between cheerleading and play practice is 17th September

To solve the problem of calculating the next day Patsy will have the events of cheerleading and school play same day, we find the lowest common multiple of the intervals of the occurrence of the two events

The interval of the events are:

cheerleading - 4th day

school play - 6th day

The Lowest common multiple of 4 and 6 is calculated to be 12

If the two events occurred on 5th September the next will on

= 5 + 12

= 17

The next time to choose between the two will be on 17th September

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The shape of the sample distribution is approximately normal. The mean of the sample distribution is 1/4 (25%), and the standard error is approximately 0.0247.

(a) For a random sample of 200 Americans age 65 and older, the shape of the sample distribution can be approximated to be normal due to the large sample size (Central Limit Theorem). The mean of the sample distribution would be 1/4 (25%) since it represents the proportion of older Americans with diabetes. The standard error of the sample distribution can be calculated using the formula:

SE = sqrt(p * (1 - p) / n)

where p is the proportion of older Americans with diabetes (0.25) and n is the sample size (200). By substituting the values, the standard error would be:

SE = sqrt(0.25 * (1 - 0.25) / 200) ≈ 0.0247.

(b) To find the probability that 60 or more individuals in the sample of 200 suffer from diabetes, we can use the normal approximation to the binomial distribution. We calculate the z-score using the formula:

z = (x - np) / sqrt(np(1-p))

where x is the number of individuals (60), n is the sample size (200), and p is the proportion of older Americans with diabetes (0.25). By substituting the values, we get:

z = (60 - 200 * 0.25) / sqrt(200 * 0.25 * 0.75) ≈ -2.9155.

Using the standard normal distribution table, we can find the probability associated with the z-score -2.9155. The probability is approximately 0.0018 or 0.18%.

(c) If the sample size is increased from 200 to 800, the standard error would be recalculated using the same formula as in part (a). The new standard error (SE') would be:

SE' = sqrt(p * (1 - p) / n') = sqrt(0.25 * (1 - 0.25) / 800) ≈ 0.0124.

(d) Without calculating the probability, we can infer that the probability of finding 30% or more from the sample of 800 would be higher compared to finding 30% or more in the sample of 200. This is because as the sample size increases, the standard error decreases, leading to a narrower distribution. A narrower distribution allows for a higher probability of observing extreme values. Thus, the probability of finding 30% or more would be higher with a larger sample size.

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again, let's assume daily compounding means 365 days per year.

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (10000000)(0.0212)(1)\implies \boxed{I=212000}\)

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years\dotfill &1 \end{cases}\)

\(A=10000000\left(1+\frac{0.0212}{365}\right)^{365\cdot 1}\implies A\approx 10214256.88 \\\\\\ \underset{\textit{earned interest amount}}{10214256.88~~ - ~~10000000 ~~ \approx ~~ \boxed{214256.88}}\)

what's their difference?  well

\(\stackrel{\textit{compounded daily}}{\approx 214256.88}~~ - ~~\stackrel{\textit{simple interest}}{212000}\implies \boxed{2256.88}\)

Answer:

$100.5000

Step-by-step explanation:

becuse $9,500 is fived and it got it

To use the tangent ratio in a triangle, you need to know the lengths of two sides or the measures of two angles in the triangle. The tangent ratio relates the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle.

The tangent ratio is a trigonometric ratio that relates the length of one side of a right triangle to the length of another side. It is defined as the ratio of the length of the side opposite a given angle to the length of the side adjacent to that angle.

In order to use the tangent ratio, you must have knowledge of the triangle's sides or angles. If you know the lengths of two sides of a right triangle, you can use the tangent ratio to find the measure of one of the acute angles in the triangle. Conversely, if you know the measure of one of the acute angles, you can use the tangent ratio to find the ratio of the lengths of the sides in the triangle.

Essentially, to apply the tangent ratio, you need to have sufficient information about the triangle to identify the sides or angles involved in the ratio calculation. This information can be provided in terms of lengths of sides or measures of angles, allowing you to use the tangent ratio to solve for missing values or determine specific relationships within the triangle.

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The solution to the integral is ∫ (16x-130) / (x²-16x+63) dx = -ln|x-9| + 41ln|x-7| + C

Now, let's get into the details of the problem. We are given the integral:

∫ (16x-130) / (x²-16x+63) dx

To solve this integral, we first need to factor the denominator. We can factor it using the quadratic formula, which gives us:

x²-16x+63 = (x-9)(x-7)

Therefore, we can rewrite the integral as:

∫ (16x-130) / [(x-9)(x-7)] dx

To apply this technique, we need to first write the fraction as:

(16x-130) / [(x-9)(x-7)] = A/(x-9) + B/(x-7)

where A and B are constants that we need to find. We can find A and B by multiplying both sides by the common denominator and then equating the numerators. This gives us:

16x - 130 = A(x-7) + B(x-9)

Now, we can solve for A and B by substituting values of x that make one of the terms zero. For example, if we substitute x=9, we get:

16(9) - 130 = A(9-7) + B(9-9)

Simplifying this expression gives us:

2A = -2

Therefore, A = -1.

Similarly, if we substitute x=7, we get:

16(7) - 130 = A(7-7) + B(7-9)

Simplifying this expression gives us:

-2B = -82

Therefore, B = 41.

Now that we have found A and B, we can rewrite the original fraction as:

(16x-130) / [(x-9)(x-7)] = -1/(x-9) + 41/(x-7)

Using this decomposition, we can integrate the original function by integrating each term separately. This gives us:

∫ (16x-130) / [(x-9)(x-7)] dx = ∫ [-1/(x-9) + 41/(x-7)] dx

= -ln|x-9| + 41ln|x-7| + C

where C is the constant of integration.

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Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. There is not enough evidence to conclude that the average yield on the initial investment is less than 10%.

To test the company's claim that the average yield on the initial investment is at least 10%, we can use a one-sample t-test. The null hypothesis is that the true mean yield is equal to 10%, while the alternative hypothesis is that it is less than 10%. We will use a significance level of 0.05.

The test statistic for a one-sample t-test is calculated as:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

In this case, the sample mean is 8.92, the hypothesized population mean is 10%, the sample standard deviation is 2.4257, and the sample size is 10. Plugging these values into the formula, we get:

t = (8.92 - 10) / (2.4257 / √10) = -1.699

The degrees of freedom for this test are n - 1 = 9.

Using a t-distribution table or calculator, we can find that the p-value for this test is 0.0647. This means that if the true mean yield is 10%, there is a 6.47% chance of obtaining a sample with a mean yield of 8.92 or lower.

In other words, based on the given sample, we cannot conclude that the company's claim is false. However, we also cannot say with certainty that the claim is true. Further testing with a larger sample size may be necessary to make a more conclusive determination.

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Answer:

706.5

(there is no hundredths place)

Step-by-step explanation:

r=15

a= pi × r²

3.14×15²

15²=225

3.14×225=706.5

Answer:

I couldn't understand your question, please send once more

Answer: GCF = 3

~~~~~~~~~~~~

Hope this helps!

Answer:

40%

Step-by-step explanation:

As AEIOU are vowels, we count that there are 4 vowels: a, e, o, and a. Then we count that there are 10 total letters. We get 4/10=40%

Answer:

40%

Step-by-step explanation:

There are 5 vowels, a,e,i,o and u

There are a total of 10 tiles.

Looking at the tiles there are 4 tiles that represent vowels, 2 "a"'s , an "o" and an "e".

So 4 out of the 10 tiles represent vowels.

4/10 can be converted to a percentage.

4/10 * 10 = 40/100 = 40%

40% of the tiles are vowels