what is the area of a shape ​

Answer: 16,384

Step-by-step explanation:

The seven marbles have different colours, so we can differentiate them.

Now, suppose that for each marble we have a selection, where the selection is in which jar we put it.

For the first marble, we have 4 options ( we have 4 jars)

For the second marble, we have 4 options.

Same for the third, for the fourth, etc.

Now, the total number of combinations is equal to the product of the number of options for each selection.

We have 7 selections and 4 options for each selection, then the total number of combinations is:

C = 4^7 = 16,384

Answer:

the answer is 16384

Step-by-step explanation:

have a nice day.

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

The answer is 191.

Hope that helps. x

Answer:

191

Step-by-step explanation:

12+23=35

67+10=77

19+60=79

Now let's add all three numbers

35+77+79=191

Hope this helps!

Answer:

g(h(- 8)) = 119

Step-by-step explanation:

Evaluate h(- 8), then substitute the result obtained into g(x), that is

h(- 8) = (- 8)² - 2 = 64 - 2 = 62, then

g(62) = 2(62) - 5 = 124 - 5 = 119

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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Answer:

a\(n\)=5n

Step-by-step explanation:

The function f(x) has at most one relative extremum on the interval 2 < x < 4, based on the behavior of its derivative f'(x) = sin(x^2 + 1). Therefore, the correct option is a. One.

To determine the number of relative extrema of the function f(x) on the interval 2 < x < 4, we need to analyze the behavior of its derivative f'(x).

We have that f'(x) = sin(x^2 + 1), we need to examine where the derivative changes its sign within the interval (2, 4) to identify the relative extrema.

Since the sine function oscillates between -1 and 1, we can observe that sin(x^2 + 1) will also oscillate between -1 and 1 as x^2 + 1 varies.

However, since the interval (2, 4) is relatively small, the value of x^2 + 1 will not vary significantly, and the sine function will not complete multiple oscillations within this interval.

Therefore, there will be at most one sign change for sin(x^2 + 1) within the interval (2, 4), indicating that f(x) may have at most one relative extremum within this interval.

Hence, the correct answer is: a. One.

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The length of the shortest straight  is approximately 28.01 ft.

What is the right triangle?

A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".

To find the length of the shortest straight beam,we can use the Pythagorean theorem.

Let's denote the length of the beam as L and  a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.

Using the Pythagorean theorem,

\(L^2 = (28 ft)^2 + (1 ft)^2\)

Simplifying the equation:

\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)

\(L = \sqrt{785}ft\)

Calculating the value of L:

L ≈ 28.01 ft

Therefore, the length of the shortest straight beam  is approximately 28.01 ft.

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he required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

Let’s assume the general solution of the given differential equation is,

y=e^{mx}

By taking the derivative of this equation, we get

\(\frac{dy}{dx} = me^{mx}\\\frac{d^2y}{dx^2} = m^2e^{mx}\\\frac{d^3y}{dx^3} = m^3e^{mx}\\\frac{d^4y}{dx^4} = m^4e^{mx}\\\)

Now substitute these values in the given differential equation.

\(\frac{d^4y}{dx^4}-2\frac{d^2y}{dx^2}-8y\\=0m^4e^{mx}-2m^2e^{mx}-8e^{mx}\\=0e^{mx}(m^4-2m^2-8)=0\)

Therefore, \(m^4-2m^2-8=0\)

\((m^2-4)(m^2+2)=0\)

Therefore, the roots are, \(m = ±\sqrt{2} and m=±2\)

By applying the formula for the general solution of a differential equation, we get

General solution is, \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

Hence, the required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

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Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer:

···⇒Area=195m²

Step-by-step explanation:

\(Solution,\\\\Base(b)=15m\\\\Height(h)=13m\\\\Now,\\\\Area=b*h\\\\Area=15m*13m\\\\Area=195m^{2}\)

Answer:

The area of parallelogram is 195 m².

Step-by-step explanation:

As per given question we have provided that :

Here's the required formula to find the area of parallelogram :

\(\longrightarrow{\pmb{\sf{A = B \times H}}}\)

Substituting all the given values in the formula to find the area of parallelogram :

\(\longrightarrow{\sf{A = B \times H}}\)

\(\longrightarrow{\sf{A = 15 \times 13}}\)

\(\longrightarrow{\sf{A = 195}}\)

\(\star{\underline{\boxed{\sf{\red{A = 195 \: {m}^{2}}}}}}\)

Hence, the area of parallelogram is 195 m².

\(\rule{300}{2.5}\)

Answer:

Its either y = 100 or x = 100

Step-by-step explanation:

I do this kind of math everyday

Answer: Answer is D, a 55° angle

Step-by-step explanation:

Answer:

53.4.......

follow me........

Answer: 36

Step-by-step explanation:

80% or 200 is 16

16+20=36

The chi-square goodness-of-fit test can provide important information about whether the observed data significantly deviates from the expected distribution, which categories or bins contribute to the deviation, and the overall goodness-of-fit of the data to the expected distribution.

The chi-square goodness-of-fit test is a statistical test used to determine if a sample of data comes from a population with a specific distribution. Specifically, the test compares the observed frequencies of data in different categories or bins with the expected frequencies of data in those categories based on a hypothesized distribution.

It can determine whether the observed data significantly deviates from the expected distribution. If the test results in a p-value less than the chosen level of significance, it indicates that the observed data significantly deviates from the expected distribution, and the null hypothesis (that the data follows the expected distribution) can be rejected.

It can identify which categories or bins contribute the most to any significant deviation. The test statistic and associated p-value can help to identify which categories or bins show significant differences between the observed and expected frequencies.

It can provide information on the overall goodness-of-fit of the data to the expected distribution. The test statistic provides a measure of the overall goodness-of-fit, with higher values indicating greater deviation from the expected distribution.

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The total number of different rainbow splits an ice cream store can advertise as per the 30 different flavors equals 24,360.

Total number of different flavors present in the ice cream store is equal to 30

Number of different scoop of ice cream used to make rainbow banana-boat-split is equal to 3

Total number of different rainbow splits ice cream store can advertise

= ³⁰P₃

= ( 30! ) / ( 30 - 3 )!

= 30 × 29 × 28 × 27! / 27!

=  30 × 29 × 28

= 24, 360

Therefore, the number of different rainbow splits can be advertised by ice cream store is equal to 24,360.

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The measure of the angle I= is 50 degree

A triangle has three sides and a total interior angle of 180 degrees. Four-sided shapes like a square, rectangle, or quadrilateral have a total interior angle of 360 degrees. Other polygons have different angles and different numbers of sides, such as the pentagon, hexagon, heptagon, and octagon.

Compared to algebra, geometry requires less math, and the math that is needed is simpler. Geometry, on the other hand, necessitates the memorization of numerous rules and formulas, which for some students can be more challenging than fundamental algebra. Ask your teacher for assistance if you need it in a math class.

The ratio of the respective sides is proportional when two triangles are comparable to one another.

Additionally, the corresponding angles coincide.

Given in this case are B= 35° and C= 95°

the angle sum property now

A + B + C = 180°

A + 35 + 95 = 180

A + 130 = 180

130 is subtracted from both sides, giving us

A = 180 - 130

A = 50°.

Now

ABC and LMN

Consequently, in terms of similarity

A = L

But A = 50°.

Thus, L = 50°.

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Answer:

<4

Step-by-step explanation:

The stated zone in EMTALA in 2003 when defining a hospital campus is d. 250 yards

What is EMTALA?

EMTALA stands for Emergency Medical Treatment & Labor Act. It is passed by the US Congress in 1986 to ensure public access to emergency services regardless of ability to pay.

2003 revision of EMTALA provides that the 250-yard zone will continue to apply when defining the "hospital campus". However, that sphere does not include non-medical businesses (shops and restaurants located close to the hospital), nor does it include physicians' offices or other medical entities that have a separate Medicare identity.

Hence, the correct answer is d. 250 yards.

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The correct option is d) mathematical

What is a technical system model?

A mathematical model is a set of equations or algorithms that represent technical aspects of a system. These equations or algorithms are used to predict or simulate system behavior and performance. Mathematical models are often used in engineering, science, economics, and other fields where complex systems need to be analyzed and optimized. For example, a mathematical model could be used to analyze how a communication network would perform with different levels of traffic or to predict how a chemical reaction would proceed under various conditions. Mathematical models are often represented graphically to provide a clear visualization of the complex relationships between variables within a system. Overall, mathematical models are an essential tool for designing, optimizing, and managing complex systems.

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The simple random sample provided a sample mean of X and a sample standard deviation of Y.

A simple random sample is a subset of individuals selected randomly from a larger population. The sample mean (X) represents the average value of the variable of interest within the sample, while the sample standard deviation (Y) measures the dispersion or spread of the data around the sample mean. The sample mean is calculated by summing up all the values in the sample and dividing it by the sample size. The sample standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences between each value and the sample mean.

The sample mean is a useful statistic as it provides an estimate of the population mean, assuming the sample is representative of the population. It is often used to make inferences about the larger population. On the other hand, the sample standard deviation indicates the variability within the sample. A smaller standard deviation suggests that the data points are closer to the sample mean, while a larger standard deviation indicates greater variability or dispersion.

It is important to note that the sample mean and sample standard deviation are statistics calculated from the sample and are subject to sampling variability. To make more accurate inferences about the population, it is often necessary to use inferential statistics, such as confidence intervals or hypothesis testing. These techniques take into account the sample size, sample mean, and sample standard deviation to draw conclusions about the population parameters.

Overall, the simple random sample provided a sample mean of X and a sample standard deviation of Y, which are essential measures to understand the central tendency and dispersion of the data within the sample.

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The required manager should charge $1600 for one-bedroom units and $2250 for two-bedroom units to maximize revenue.

Let x be the number of $20 increases in the price of a one-bedroom unit, and y be the number of $60 increases in the price of a two-bedroom unit. Then the rental prices for one-bedroom and two-bedroom units can be expressed as:

One-bedroom price = $1200 + $20x

Two-bedroom price = $1800 + $60y

The total number of customers for one-bedroom units is 90 minus the number of customers lost due to the price increase, which is x. Similarly, the total number of customers for two-bedroom units is 100 minus the number of customers lost due to the price increase, which is 2y. Therefore, the total revenue can be expressed as:

Revenue = (90 - x) * ($1200 + $20x) + (100 - 2y) * ($1800 + $60y)

Expanding and simplifying this expression, we get:

Revenue = 216000 + 9600x - 240x² + 180000 + 108000y - 7200y²

Collecting like terms, we get:

Revenue = -240x² - 7200y² + 9600x + 108000y + 396000

To find the rental price that maximizes revenue, we need to find the values of x and y that maximize the revenue. We can do this by taking partial derivatives of the revenue function with respect to x and y and setting them equal to zero:

dRevenue/dx = -480x + 9600 = 0

dRevenue/dy = -14400y + 108000 = 0

Solving for x and y, we get:

x = 20

y = 7.5

Therefore, the rental prices that maximize revenue are:

One-bedroom price = $1200 + $20x = $1600

Two-bedroom price = $1800 + $60y = $2250

So the manager should charge $1600 for one-bedroom units and $2250 for two-bedroom units to maximize revenue.

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Answer:

n = 8

Step-by-step explanation:

Using the rule of exponents

\((a^{m}) ^{n}\) = \(a^{mn}\)

note that 4 = 2² , thus

\((2^{2}) ^{4}\) = \(2^{n}\) , that is

\(2^{8}\) = \(2^{n}\)

Since bases on both sides are equal, equate the exponents

n = 8

The errors that may have occurred in the student's measurements are random errors. These types of errors can arise from various sources, such as slight variations in measurement techniques or environmental factors.

Since the measured values are slightly different, it suggests that random errors affected the measurements rather than systematic errors, which would result in consistently incorrect measurements.

To minimize the impact of random errors during data analysis, the student can calculate the average of the three measured values. The average value can serve as the best estimate of the true value of the mass of the rock. Additionally, the student can calculate the standard deviation of the measured values to determine the precision of the measurements. The smaller the standard deviation, the more precise the measurements.

The student can further minimize random errors by taking multiple measurements and averaging them to obtain a more accurate value. Additionally, using a digital balance instead of an analog one may reduce random errors as digital balances have greater precision and accuracy.

It is also important for the student to use proper measurement techniques such as ensuring that the balance is calibrated and zeroed correctly before each measurement. The student should also avoid applying excessive force on the balance and ensure that the rock is stable and level during measurement.

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Answer:

Step-by-step explanation:

10/100*132

Answer:

Step-by-step explanation:

The formula of C.P is Selling Price - Profit

Here the S.P. =132

Profit = 10%

Converting 10% = 10/100*132

                             = 13.2

Putting values into Formula :

132-13.2 = 118.8

so, the answer is 118.8

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Initially, only one person had heard the rumor.

The answer is b.

We have the following information available from the question is:

The function  \(N(t) =\frac{300}{1+299e^ \\,0.36t}\) describes the spread of a rumor among a group of people in an enclosed space.

Where,

N represents the number of people who have heard the rumor,

and t is measured in minutes since the rumor was started.

Now, According to the question:

The function is:

\(N(t) =\frac{300}{1+299e^ \\,0.36t}\)

And, we put t = 0 we get :

\(N(0) =\frac{300}{1+299e^ \\,0.36(0)}\)

\(N(t) =\frac{300}{1+299e^ \\0}\)

\(N(t) =\frac{300}{1+299}\\\\N(t) =\frac{300}{300} = 1\)

Hence, Initially, only one person had heard the rumor.

The answer is b.

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Complete question is:

The function N(t)=300/(1+299e^-0.36t) describes the spread of a rumor among a group of people who have heard the rumor, and (t) is measured in minutes since the rumor was started. Which of the following statements are true?

a. The rate at which the rumor spreads speeds up over time.

b. Initially, only one person had heard the rumor.

c. It will take approx. 14 mins for 100 people to hear the rumor.

d. There are 299 people in the enclosed space.