The sum of the measures of the interior angles of a convex polygon is 1620°.
Classify the polygon by the number of sides.

It is not possible to maintain the temperature in the reservoir. The temperature of saturated steam (T1) = 150°C

The temperature of the reservoir (T2) = 250°C

The temperature of the cooling water (T3) = 10°C

Heat supplied = 2500 kJ

The working fluid leaves as liquid water at 15°C.

To determine whether it is possible to supply 2500 kJ of heat to the reservoir, we need to check whether the entropy change of the universe is positive or not. If the entropy change is positive, then the process is possible.

The expression for entropy change is:

ΔS = S2 - S1 - S3

Here,

S1 is the entropy of the working fluid at temperature T1

S2 is the entropy of the working fluid at temperature T2

S3 is the entropy of the cooling water at temperature T3

Given that the working fluid leaves as liquid water at 15°C, its entropy can be found from steam tables.

Using steam tables:

Entropy of water at 15°C (S4) = 0.000153 kJ/kg K

Entropy of saturated steam at 150°C (S1) = 4.382 kJ/kg K

Entropy of water at 250°C (S2) = 0.9359 kJ/kg K

Entropy of cooling water at 10°C (S3) = 0.000468 kJ/kg K

Now, substituting these values in the above expression for entropy change:

ΔS = S2 - S1 - S3

  = 0.9359 - 4.382 - 0.000468

  = -3.446 < 0

Since the entropy change of the universe is negative, the process is not possible to supply 2500 kJ of heat to the reservoir. Therefore, it is not possible to maintain the temperature in the reservoir.

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Answer:

24 will be your answer.

Step-by-step explanation:

The given system of equations do not have a solution since their related line equations have the same slope.

The given system of equations is:

-x + 5y = 3   .......... (1)

2x - 10y = 4   ........(2)

In Equation (1), add both sides by (-5y)

-x + 5y + (-5y) = 3 + (-5y)

-x = -3 - 5y

Multiply by (-1)

x = 3 + 5y

Substitute x = 3 + 5y into equation (2)

2x - 10y = 4

2.(3 + 5y) - 10y = 4

6 + 10y - 10y = 4

6 = 4 (False)

Since the last equation is false, we might suspect that the given system of solution does not have solutions.

We need to check the slope of both equations:

-x + 5y = 3

⇒ 5y = x + 3

⇒ y = 1/5 x + 3/5

2x - 10y = 4

⇒ -10 y = -2x + 4

⇒ y = (2/10) x - 4/10

⇒ y = 1/5 x - 2/5

We can see that both equations have the same slope, i.e. 1/5.

Hence, they do not have solutions since the lines are parallel to each other.

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The critical value of the correlation coefficient for a two-tailed test at alpha = 0.05 with a sample size of n = 23 is approximately plus/minus 0.497.

To understand why this is the case, we need to consider the distribution of the correlation coefficient, which follows a t-distribution. In a two-tailed test, we divide the significance level (alpha) equally between the two tails of the distribution. Since alpha = 0.05, we allocate 0.025 to each tail.

With a sample size of n = 23, we need to find the critical t-value that corresponds to a cumulative probability of 0.025 in both tails. Using a t-distribution table or statistical software, we find that the critical t-value is approximately 2.069.

Since the correlation coefficient is a standardized measure, we divide the critical t-value by the square root of the degrees of freedom, which is n - 2. In this case, n - 2 = 23 - 2 = 21.

Hence, the critical value of the correlation coefficient is approximately 2.069 / √21 ≈ 0.497.

Therefore, the correct answer is A. Plus/minus 0.497.

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The trinomials in factor form are listed below:

Case A: (x + 2)²

Case B: (x - 3) · (x - 9)

Case C: (x - 7) · (x + 6)

Case D: (x - 9) · (x + 1)

Herein we find four case of trinomials of the form x² + b · x + c that must be factorised, this can be done by using the following algebraic property:

x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)

Where r₁, r₂ are real roots of the quadratic equation.

Now we proceed to factorise each trinomial (quadratic equation), that is, their factor form:

Case A

x² + 4 · x + 4

x² + (2 + 2) · x + 2 · 2

(x + 2) · (x + 2)

(x + 2)²

Case B

x² - 12 · x + 27

x² - (3 + 9) · x + (- 3) · (- 9)

(x - 3) · (x - 9)

Case C

x² - x - 42

x² - (7 - 6) + (- 7) · 6

(x - 7) · (x + 6)

Case D

x² + 8 · x - 9

x² - (- 9 + 1) · x + (- 9) · 1

(x - 9) · (x + 1)

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If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: \(f(x) = log_b(x),\) where b is the base of the logarithm.

To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.

In the case of logarithmic functions, the derivative of \(f(x) = log_b(x)\) is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.

Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

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If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: \(f(x)=log_b(x)\). where b is the base of the logarithm.

To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.

In the case of logarithmic functions, the derivative of \(f(x)=log_b(x)\). is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.

Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

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the equation of the tangent line is:
y = 4√3x + 4 + (2√3 × π)÷3

To find the equation of the tangent line to the curve y = 8sin(x) at the point (π/6, 4), we need to determine the slope (m) and the y-intercept (b).
First, find the derivative of the given function with respect to x to obtain the slope of the tangent line:
y'(x) = d(8sin(x))/dx = 8cos(x)
Now, evaluate the derivative at x = π/6 to find the slope (m) of the tangent line:
m = 8cos(π/6) = 8 × (√3/2) = 4√3
Next, we have the point-slope form of the equation:
y - y1 = m(x - x1)
Here, (x1, y1) = (π/6, 4). Plug in the values and simplify:
y - 4 = 4√3 (x - π/6)
Now, we need to solve for the y-intercept (b) by setting x = 0:
b = y - 4√3 (x - π/6)
b = 4 - 4√3(0 - π/6)
b = 4 + (4√3 × π)/6
b = 4 + (2√3 × π)/3

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7.1 The age that appears most frequently is 57, and it also appears twice. Therefore, the answer is (a) 57 and 43.

7.2  There are 15 ages, so the middle value(s) would be the median. In this case, there are two middle values: 56 and 57. Since there are two values, the median is the average of these two numbers, which is 56 + 57 = 113, divided by 2, resulting in 56.5.

Therefore, the answer is (c) 56.

7.3  The answer is (c) 57.47.

8. Given: a = 9 cm, b = 12 cm, and h = 7 cm. Substituting these values into the formula, we get (9 + 12) 7 / 2 = 21 7 / 2 = 147 / 2 = 73.5 cm².

Therefore, the answer is (a) 73.5 cm².

9. Let's denote the total mass of the 50 pumpkins as M. We know that the average mass of 50 pumpkins is 2.1 kg.

Therefore, the sum of the masses of the 50 pumpkins is 50 2.1 = 105 kg.

If three more pumpkins are added, the total number of pumpkins becomes 50 + 3 = 53. The average mass of these 53 pumpkins is 2.2 kg. The total mass of the 53 pumpkins is 53 2.2 = 116.6 kg.

Therefore, the answer is (b) 11.6 kg.

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The No Information Rate (NIR) is a measure of the accuracy of a classification model that predicts the most frequent class as the outcome for all cases.

In statistics, the No Information Rate (NIR) is a measure of the accuracy of a classification model that predicts the most frequent class as the outcome for all cases. It represents the accuracy rate that can be achieved by simply guessing the most frequent outcome without using any predictive model or variable.

The NIR is commonly used as a benchmark for evaluating the performance of classification models, as any model that performs worse than the NIR is considered to be poorly performing. Conversely, a model that performs better than the NIR is considered to have some predictive power beyond simply guessing the most frequent outcome.

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Answer:0

Step-by-step explanation: anything minus itself is zero (x-x=0)

Answer: That would be non-answerable

Step-by-step explanation:  infinity is a boundless and endless thing. It is not able to be added or subtracted to anything.

The time at which the lorry the time taken arrive at it destination is 12.20.

Given :

A lorry leave a factory on a journey of 195km at 08 45 , travelling at an average speed of 52 km/h.

here,

Distance = 195 km

Speed = 52 km/h

we know that ,

speed = distance / time

on cross muliplicating

speed * time = distance

time = distance / speed

substitute the values

time = 195 / 52

= 3.75 hours

destination time = 8.45 + 3.75

= 12.20

Therefore the time at which the lorry the time taken arrive at it destination is 12.20

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The Interstate 90 freeway in the US is (D) 123.9 miles.

Therefore, the Interstate 90 freeway in the US is (D) 123.9 miles.

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Correct question:

i-90 is the longest freeway in the us, stretching from Seattle to Boston. how many miles is it?

a. 248.1

b. 302.1

c. 437.1

d. 123.9

Answer:

Answer is below

Step-by-step explanation:

Answer:

u just multiply7×5t

=35t

The probability that A and B are in the same car is 1/1050.

If a group of 12 people is going to a concert on a Saturday night, and the group is taking three cars, each with four people, there is a possibility that the person A and B may be in the same car.

To determine the probability that A and B are in the same car, we need to determine how many ways the group of 12 people can be distributed among the three cars.

Since there are three cars, there are three different possibilities for where A and B can be located, i.e., in Car 1, Car 2, or Car 3.

There are three possible cars for A and B, and there are 2 people left to distribute among the other cars.

There are 10 ways to choose two people from the remaining 10, which means that there are 10 ways to place A and B into the same car.

After A and B have been placed in a car, the remaining 10 people can be placed in the other two cars.

The number of ways to distribute the 10 people into two cars with four and six people respectively is the same as the number of ways to choose four people from the 10 to be in the first car, or:10!/(4!6!) = 210.

Therefore, there are a total of 3 * 10 * 210 = 6300 different ways to distribute the group among the three cars.

Since there are 3 cars and 4 people in each car, there are a total of 3 * 2 * 1 = 6 ways to choose two people in the same car.

The probability that A and B are in the same car is therefore: P(A and B in same car) = 6/6300 = 1/1050.

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The value of q is -27.

Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.

In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.

We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.

Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.

Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.

Combine like terms: 15 - beta = 6.

Subtract 15 from both sides: -beta = -9.

Multiply both sides by -1 to solve for beta: beta = 9.

Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.

Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.

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Answer:

44.68.8m³

hope it helps please mark Brainliest

Answer:

\(y'' = 8\sin(x) + 16x\cdot \cos(x) - 4x^2 \cdot \sin(x)\)

Step-by-step explanation:

Given the function:

\(y=4x^2 \cdot \sin(x)\)

We can find its derivative, or instantaneous slope, by applying the power rule and using the common derivative of the trigonometric function sine within the product rule.

Here are the relevant formulas:

First, we can find the derivative of each of the function's factors [ which I will label \(f(x)\) and \(g(x)\) ].

\(f(x) = 4x^2\)

↓ applying the power rule \((x^a)' = ax^{a\, - \, 1}\)

\(f'(x) = 4(2x^{2-1})\)

\(\bold{f'(x) = 8x}\)

⎯⎯⎯⎯⎯⎯⎯

\(g(x) = \sin(x)\)

↓ applying the common derivative \((\sin(x))' = \cos(x)\)

\(\bold{g'(x) = \cos(x)}\)

Now, we can apply the product rule using these values of \(f'(x)\) and \(g'(x)\).

\(\left(\dfrac{}{} f(x) \cdot g(x) \dfrac{}{} \right)' = f(x)\cdot g'(x) + g(x) \cdot f'(x)\)

\(y' = 4x^2 \cdot \cos(x) + \sin(x) \cdot 8x\)

\(\boxed{y' = 4x^2 \cdot \cos(x) + 8x \cdot \sin(x)}\)

To find the second derivative of the function, we have to take the derivative of the derivative. We can apply the same concepts from the previous step, but also with the sum/difference rule.

↓ applying the sum/difference rule to the function's derivative

\(y'' = \left(\dfrac{}{}4x^2 \cdot \cos(x)\dfrac{}{}\right)' + \left(\dfrac{}{}8x \cdot \sin(x)\dfrac{}{}\right)'\)

↓ applying the product rule to each derivative

\(y'' = \left(\dfrac{}{} 4x^2 \cdot (-\sin(x)) + \cos(x) \cdot 8x \dfrac{}{}\right) + \left(\dfrac{}{} 8x \cdot \cos(x) + \sin(x) \cdot 8 \dfrac{}{}\right)\)

↓ combining like terms

\(\boxed{y'' = 8\sin(x) + 16x\cdot \cos(x) - 4x^2 \cdot \sin(x)}\)

The answer of the given multiplication is, 30.935.

What is multiplication?

A mathematical formula that specifies the objects to be multiplied, known as a factor, produces a product. For instance, the product of x and is cdot, while the product of x and is 30.

Consider, the product

          1  1.  5

   x     2.  6  9

__________________

           1  0  3  5

+         6  9  0  0

+      2  3  0  0  0

____________________

       3  0  9  3  5

There is one after after decimal point in 11.5, and there are two digits after decimal point in 2.69

So, there are total three digits after decimal point.

Therefore, we place the decimal after 0.

Hence, the multiplication of given numbers is, 30.935

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Therefore, Drug C has a stronger impact on cell survival compared to Drug A, making it the drug with the greatest effect.

To draw a representation of the survival curve and identify the drug that has the greatest effect on cell survival, we can use a graph where the x-axis represents the drug concentration in μg/ml, and the y-axis represents the percentage of cell survival.

Since Drug B has no IC90 value, it means that it does not reach a concentration that causes a 90% reduction in cell survival. Therefore, we can assume that Drug B has no significant effect on cell survival and can omit it from the survival curve.

For Drug A and Drug C, we have IC90 values of 5 and 3 μg/ml, respectively. This means that when the drug concentration reaches these values, there is a 90% reduction in cell survival.

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Answer:

what are the instructions

Step-by-step explanation:

please repost with instructions

Answer:

This is an equation uncalculatable because it is too big.

Step-by-step explanation:

7,800,000,000 x 130 = error

Answer:

25inckaopritratomopakyuwagkamainfay345+593=25

Step-by-step explanation:

38 x56% =25

Answer:

a) 10 cm and 20 cm

b) 100 cm^2

c) 100 cm^2

d) 40 cm

Step-by-step explanation:

Given:

\(a(rhombus) = a(square)\)

\(l(square) = 10 \: cm\)

\(diagonal1 = 2 \times diagonal2\)

Find:

a) Diagonals of the rhombus

We already know the length of one diagonal (which is 10 cm, since it was said, that is is equal to a square's length)

Now, we can find the other one (d2 is the second diagonal):

10 cm = 0,5 × d2 (divide both sides from 0,5)

d2 = 20 cm

b) Area of the square

\(a(square) = {l}^{2} = {10}^{2} = 100 \: {cm}^{2} \)

c) Area of the rhombus:

\(a(rhombus) = \frac{1}{2} \times d1 \times d2 = \frac{1}{2} \times 10 \times 20 = 100 \: {cm}^{2} \)

d) Perimeter of the square (we multiply one side's length by 4, since square has 4 identical sides):

\(p(square) = l \times 4 = 10 \times 4 = 40 \: cm\)

To find the three numbers, we need to use the information given about their mean, median, and range. Since the median is 18, we know that the middle number of the three must be 18. Also, since the mean is 20, the sum of the three numbers must be 3 times 20, which is 60. So, the 3 numbers are 16, 18, and 26.

Let's call the smallest number x, then the largest number must be x+10 since the range is 10.
Now we can set up an equation to solve for x. We know that the sum of the three numbers is 60, so we can write:
x + 18 + (x+10) = 60
Simplifying this equation gives:
2x + 28 = 60
Subtracting 28 from both sides gives:
2x = 32
Dividing by 2 gives:
x = 16

Therefore, the three numbers are 16, 18, and 26.
Given the information provided, we know the following:
1. Mean of 3 numbers is 20.
2. Median of the 3 numbers is 18.
3. Range (largest - smallest) is 10.
Since there are 3 numbers and the median is 18, the middle number is 18. Let's call the smallest number "x" and the largest number "y". We can now write two equations:
1. (x + 18 + y) / 3 = 20
2. y - x = 10
We can simplify the first equation to find the sum of the 3 numbers:
x + 18 + y = 60
Now, we can solve for x in the second equation:
x = y - 10
Substituting the value of x in the first equation:
(y - 10) + 18 + y = 60
Solving for y:
2y = 52
y = 26
Now, we can find the value of x:
x = 26 - 10
x = 16
So, the 3 numbers are 16, 18, and 26.

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Answer: I'd say reflection

Answer:

It is a reflection

Step-by-step explanation:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Answer:

b

Step-by-step explanation:

The cardinality of the set A is 4

From the question, we have the following parameters that can be used in our computation:

A = {2, 4, 6, 8}

In the above, we can see that

There are 4 elements in the set

By the definition of cardinality, we have the cardinality of set A to be 4

Hence, the cardinality of set A is 4

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Question

The cardinality of a finite set is the number of elements in the set. What is the cardinality of set A

A = {2, 4, 6, 8}