please provide reasoning. thank you
e You have solved a rectilinear MiniMax problem using the simplified solution based on the four constraints of the quadrilateral for the LP based algorithm. The following results of your C₁-C5 formu

The correct answer is the rate of change is 6 over interval 1 ≤ x ≤ 4 and the rate of change is 6 over interval 2 ≤ x ≤ 4  

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. In general, the formula for rate of change is: R = (D2 - D1)/T. where: R = rate of change.

Given that is a table, we need to find the average rate of change for the function,

a = 1, f(a) = 1

b = 2, f(b) = 3

Average rate of change is given by = f(b)-f(a) / b-a

= 3-1 / 2-1

= 2

a = 3, f(a) = 7

b = 4, f(b) = 15

Average rate of change is given by = f(b)-f(a) / b-a

= 15-7 / 4-3

= 8

a = 2, f(a) = 3,

b = 3, f(b) = 7

Average rate of change is given by = f(b)-f(a) / b-a = 4

Hence, the correct answer is the rate of change is 6 over interval 1 ≤ x ≤ 4 and the rate of change is 6 over interval 2 ≤ x ≤ 4  

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Answer:

Below

Step-by-step explanation:

100t = 1491.48     divide both sides of the equation by 100 to get

t = 14.9148        round

t = 14. 91

Answer:

t = 14. 91

Step-by-step explanation:

the antiderivative of the function f(x) = 2 csc(x) cot(x) sec(x) tan(x) is F(x) = 2x + C.

To find the antiderivative F(x) of the function f(x) = 2 csc(x) cot(x) sec(x) tan(x), we can simplify the expression and integrate each term individually.

We know that csc(x) = 1/sin(x), cot(x) = 1/tan(x), sec(x) = 1/cos(x), and tan(x) = sin(x)/cos(x).

Substituting these values into the expression:

f(x) = 2 * (1/sin(x)) * (1/tan(x)) * (1/cos(x)) * (sin(x)/cos(x))

= 2 * (1/sin(x)) * (1/(sin(x)/cos(x))) * (sin(x)/cos(x)) * (sin(x)/cos(x))

= 2 * (1/sin(x)) * (cos(x)/sin(x)) * (sin(x)/cos(x)) * (sin(x)/cos(x))

= 2 * 1

= 2

The antiderivative of a constant function is simply the constant multiplied by x. Therefore:

F(x) = 2x + C

where C represents the constant of the antiderivative.

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Answer:

See below

Step-by-step explanation:

26.    Domain:   {x|x ≥ 2}

         Range:    {y| y ≤ -3}

         Parent:    y = \(\sqrt{x}\)

         Equation:  y = \(\sqrt{x - 2} - 3\)

27.     Parent:  y = | x |

         Equation:  y = - | x + 2 | + 3

         Domain:  Reals

         Range:  {y | y ≤ 3}

Now, I am not going to do all 6 of these problems.  Hopefully the ones I did will give you an idea of what needs to be done.

I will tell you this:  28 is an exponential function

29 is a quadratic function,  30 is  an exponential function and 31 is a cubing function.  Good luck.

74100

170000

36000

I believe this is right!

Therefore, using simple exponential smoothing with a = 0.75, the forecast for water pump sales for February through May are:- February: 26.5 units,  March: 37.63 units, April: 72.66 units.

To use simple exponential smoothing with a = 0.75, we first need to calculate the forecast for January:
F1 = 25 (given)
Next, we calculate the forecast for February using the formula:
F2 = a * Y1 + (1 - a) * F1
F2 = 0.75 * 28 + 0.25 * 25
F2 = 26.5 (rounded to one decimal place)
We repeat this process for each month, using the previous month's forecast and the actual sales data for the current month. The results are as follows:
Month      Actual Sales    Forecast
-------------------------------------
January           28          25
February          72          26.5
March             98          37.63
April            126          72.66
- May: 101.17 units
Hi, I'd be happy to help you with your question. To use simple exponential smoothing with a smoothing constant α = 0.75 to forecast the water pump sales for February through May, given that the forecast for January was 25 units, follow these steps:
Step 1: Start with the given forecast for January, which is 25 units.
Step 2: Calculate the forecast for February using the formula:
Forecast_February = α * (Actual_January) + (1 - α) * Forecast_January
Step 3: Calculate the forecast for March using the formula:
Forecast_March = α * (Actual_February) + (1 - α) * Forecast_February
Step 4: Calculate the forecast for April using the formula:
Forecast_April = α * (Actual_March) + (1 - α) * Forecast_March
Step 5: Calculate the forecast for May using the formula:
Forecast_May = α * (Actual_April) + (1 - α) * Forecast_April
Please note that you have provided sales data for air-conditioning sales, but the question is about water pump sales. If you meant to ask about air-conditioning sales, you can use the given sales data to calculate the forecasts for February through May. If you need help with water pump sales, please provide the correct sales data for January through April, and I will gladly help you with the calculations.

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Answer:

3

Step-by-step explanation:

isbscw8sceia a qowbw s

A random variable is said to be continuous if it is measured over an interval. Option b. "is measured over an interval" correctly describes a continuous random variable.

A continuous random variable can take on any value within a given interval, including decimal values. It represents measurements that can be infinitely divided and can take on an uncountable number of values. Examples of continuous random variables include the height of individuals, the time it takes to complete a task, or the temperature of a room. These variables are not restricted to specific discrete values and can vary continuously.

On the other hand, discrete random variables (options a, c, and d) can only take on a countable number of distinct values. Discrete random variables represent outcomes that are distinct and separate, such as the number of students in a class, the number of cars passing by, or the number of heads obtained when flipping a coin.

These variables do not have decimal values and cannot be measured over a continuous range.

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The ages of the two sisters are 7 years and 12 years, respectively. In 5 years, their ages will be 12 years and 17 years, and their product will be 204.

Let's assume the ages of the two sisters are x and y. According to the given information, the sum of their ages is 19, so we have the equation x + y = 19.

In 5 years, the age of each sister will increase by 5, so their ages will be x + 5 and y + 5. The product of their ages in 5 years is given as 208, resulting in the equation (x + 5)(y + 5) = 208.

To solve this system of equations, we can substitute x = 19 - y from the first equation into the second equation:

(19 - y + 5)(y + 5) = 208.

Expanding and rearranging this equation gives us y^2 - 9y - 24 = 0.

Factoring this quadratic equation, we have (y - 12)(y + 2) = 0.

Therefore, the possible values for y are 12 and -2. However, since age cannot be negative, we discard -2. Thus, the ages of the two sisters are 7 years (x) and 12 years (y).

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The standard deviation for the random variable X, the number of wins, is approximately 0.10341.

Probability of winning a certain lottery \(= 1/51,949\)

560 times were played overall.

Let X represent the random variable that represents the number of victories out of 560 plays.

The probability of winning in one play is \(p = 1/51,949\). The probability of not winning in one play is \(q = 1 - p\)

\(q = (51,949 - 1) / 51,949\)

\(q = 51,948 / 51,949.\)

What X should actually be is:

\(E(X) = np\)

\(E(X) = 560 * (1/51,949)\)

\(E(X) = 0.010793\)

The variance of X is:

\(Var(X) = npq\)

\(Var(X) = 560 * (1/51,949) * (51,948/51,949)\)

\(Var(X) = 0.010699\)

The value of X's standard deviation is

\(SD(X) = \sqrt{Var(X)}\)

\(SD(X) = \sqrt{0.010699}\)

\(SD(X) = 0.10341\)(approx)

Therefore, the standard deviation for the random variable X, the number of wins, is approximately 0.10341.

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Answer:

5

Step-by-step explanation:

1+6+4+4+6+4+1= 35

35 divided by the total amount of numbers(7)

35/7=5

Therefore, the height of each tent pole is approximately 8.07 meters.

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is used to solve problems involving triangles, such as finding the length of a side or the measure of an angle. Trigonometry is based on the use of trigonometric functions, which are ratios of the sides of a right triangle.

Here,

We can use trigonometry to solve this problem. Let's call the height of the tent pole "h" and the length of the rope "r". Then, we can use the tangent function to find the height:

tan(52°) = h/r

Rearranging this equation, we get:

h = r * tan(52°)

We know that the length of each rope is equal, so we can choose any arbitrary length for r. For simplicity, let's assume that each rope is 10 meters long. Then, we can plug in the values into the equation:

h = 10 * tan(52°)

Using a calculator, we get:

h ≈ 8.07 meters

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Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Answer:

(-2,3)

Step-by-step explanation:

Dont get fooled by the whole equation given to you the main part you should be looking at is (x+2) and (y-3) this gives you the answer for the x coordinate and y coordinate.

x+2 = 0

x = -2

y-3 = 0

y = 3

So now you have both coordinates x and y which is (-2,3)

:))

Answer:

y=-12/11

Step-by-step explanation:

y-(-12/11)=0(x-(-12/13))

y+12/11=0(x+12/13)

y+12/11=0

y=-12/11

Since the slope equals 0, then the line is horizontal.

where is the example

I can't answer the question without the example provided, but here are some steps to solve it.

Basic info-

Circumference (C)

3.14 is used for pi π= 3.14

The line halfway of the circle is the radius(r)

The line through the circle is the diameter(d)

Formulas:

C= 2πr

2 × 3.14 × the radius

OR

C= πd

3.14 × the diameter

The domain of the expression 49/(75 - x) includes all whole numbers. (option a).

The concept of the domain is an essential part of mathematics, particularly in functions and expressions. It refers to the set of values for which a given expression or function is defined and meaningful.

To find the domain for the expression 49/(75 - x), we need to consider any potential restrictions on the values of x that would make the expression undefined or result in division by zero.

The expression 49/(75 - x) is defined for all whole numbers. There are no restrictions or values of x that would lead to an undefined expression or division by zero. Therefore, the domain includes all whole numbers.

Hence the correct option is (a).

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Answer:

Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.

Step-by-step explanation:

\( \frac{3x + 9}{6} = x - 3 \\ \)

\(3x + 9 = 6(x - 3)\)

\(3x + 9 = 6x - 18\)

\(6x - 3x = 9 + 18\)

\(3x = 27\)

\(x = \frac{27}{3} \\ \)

answer: \(x = 9\)

There is a 0.48 percent chance that your phone will not be found and will therefore be stolen.

Let P(S|L) represent the likelihood that your phone was stolen if you left it in the computer lab.

Let P(S|C) indicate the likelihood that your phone was stolen if you left it at the cafe.

The likelihood that your phone will be stolen can be determined using law of total probability by:

P(S) = P(S|L)P(L) + P(S|C)P(C)

      = 0.3 * 0.4 + 0.6 * 0.6

      = 0.12 + 0.36

P(S) = 0.48

Therefore, there is a 0.48 percent chance that you won't find your phone and that it was stolen.

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Answer:

$1,461.60

Step-by-step explanation:

Value of the stock in the first year if value increased by 16% = 1500 x (1.16) = $1740

1.16 = 100% + 16% = 116%

Value of the stock in the second year if value decreased by 16% = $1740 x 0.84 = $1,461.60

0.84 = 100% - 16% = 84%

Gloria walked  500500 Miles from nearest bus stop to home.

How to convert yards into miles ?

To convert a yard measurement to a mile measurement, divide the length by the conversion ratio.

Since one mile is equal to 1,760 yards, you can use this simple formula to convert:

miles = yards ÷ 1,760

The length in miles is equal to the yards divided by 1,760.

Given:

Gloria traveled : 888 miles

1 Mile = 1760 yards

880880880 yards = 500500 Miles

So she walked  500500 Miles from nearest bus stop to home.

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Answer:

Number 7 the answer when rounded to the nearest hundredth is 5.88%

Number 9 the answer is 43.333 repeating.

Step-by-step explanation:

To find the percent of boys that preferred the Beatles, we need to find the total amount of boys who voted. We can see it is 34. To find the percent, we do 2/34 which is equal to 0.05882352941. This as a percent is 5.88% rounded.

To find the amount of girls surveyed from the total, we find the total surveyed and do 26/60. This is equal to 0.4333333 repeating. This is equal to 43.33333% repeating.

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Answer:

y=10

Step-by-step explanation:

Let x equal 0

7(0)+y=10

0+y=10

y=10

Answer:

The evolution from vesicles to true cells was enabled by the development of

Step-by-step explanation:

Answer:

the answer is in the image

Step-by-step explanation:

trust

A:  10x + 8 = 3(x – 2)

    10x + 8 = 3x – 6

    7x =  – 14

    x = -2

Answer: it should be 70

Step-by-step explanation:

because the re adding of the dollars

The Civil War was fought between the North and the South, and it was the bloodiest conflict in American history. The Civil War ended in 1865 with the defeat of the South and the reunification of the country.

The election of 1860 saw the defeat of the nationalistic candidate Stephen A. Douglas, which demonstrated the division of the country, and this led to the breakdown of the Union in 1861. The election of 1860 demonstrated the deep political, social, and economic divisions that had existed in the country since the time of the founding fathers and how these divisions could lead to the collapse of the government itself.The election of 1860 saw the defeat of the nationalistic candidate Stephen A. Douglas, who was defeated by Abraham Lincoln, who was the candidate of the Republican Party. The election of 1860 was the first in which the Democratic Party had split into two, and as a result, the party was unable to present a united front. The election also saw the rise of the Republican Party, which was a party that was strongly opposed to the extension of slavery into the western territories. The Republican Party had been formed in 1854, in opposition to the Kansas-Nebraska Act, which had allowed the people in the western territories to decide for themselves whether or not to allow slavery. The Republican Party had quickly become the party of the North, and the party's platform was focused on protecting the interests of the North, and opposing the interests of the South.The election of 1860 demonstrated how the country was deeply divided, and how this division could lead to the breakdown of the government itself. The election was followed by a series of events that led to the secession of the southern states, and the subsequent Civil War. The Civil War was fought between the North and the South, and it was the bloodiest conflict in American history. The Civil War ended in 1865 with the defeat of the South and the reunification of the country.

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