find the average value of f over the given rectangle. f(x, y) = 2ey x ey , r = [0, 14] ⨯ [0, 1]

This graph represent a system of equation with one solution. The blue point is the solution.

Hope this helps ^◇^

The scale factor of ΔSOX  to ΔCUB = 1/3

A scale factor is the size by which a shape is enlarged or reduced. It is used in increasing or reducing the size of a 2D shape, such as triangle, square, rectangle, etc.

3. The scale factor of ΔSOX  to ΔCUB will be the ratio of the corresponding sides of triangle SOX  to triangle CUB. In this case, the side SX in ΔSOX corresponds to sides BC in ΔCUB. That is:

scale factor of ΔSOX  to ΔCUB = SX/BC = 5/15 = 1/3

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Answer:

A

Step-by-step explanation:

The equation representing a proportional relationship is

y = kx ← k is the constant of proportion

The only equation in this form is

y = 24x ( k = 24 ) → A

Answer:

to find the intersection we substitute the formulas for x, y and z into the equation for P and solve for t. The line is contained in the plane, i.e., all points of the line are in its intersection with the plane. Here are cartoon sketches of each part of this problem.

Answer:

40 degrees

Step-by-step explanation:

Sum of all angles of triangle is 180 degrees.

So, 80+(9x+4)+(16x-4)=180

80+25x=180

25x=100 -> x=4

So angle A = 9(4)+4= 40 degrees

The number of products of each type that they can assemble each week to maintain maximum production are 3 Type A and 2 Type B.

In order to write a system of linear equations that could be used to model the situation, we would assign variables to the cost of component and the labour man-hours respectively as follows:

Next, we would translate the word problem into system of linear equations as follows. Since the business has $156.00 available to buy components each week, a linear equation that models the situation is given by;

36x + 24y = 156      .....equation 1.

Additionally, the total labour man-hours available each week is 96 man-hours;

16x + 24y = 96      .....equation 2.

Subtracting equation 2 from equation 1, we have:

20x = 60

x = 3.

y = (96 - 16x)/2

y = (96 - 16(3))/24

y = 48/24

y = 2.

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The difference between any two successive terms in an arithmetic sequence, also called an arithmetic progression, is always the same. The letter "d" stands for the common difference, which is a constant difference.

We must ascertain the pattern of seat increase in each row in order to calculate the number of seats in row 22.

Each row after the first row, which has 30 seats, has 6 extra seats than the one before it. This translates to an arithmetic sequence with a common difference of 6 in which the number of seats in each row is represented.

The formula for the nth term of an arithmetic series can be used to determine how many seats are in row 22:

a_n = a_1 + (n - 1) * d

where n is the term's position, a_n is the nth term, a_1 is the first term, and d is the common difference.

A_1 = 30, n = 22, and d = 6 in this instance.

With these values entered into the formula, we obtain:

a_22 = 30 + (22 - 1) * 6 = 30 + 21 * 6 = 30 + 126 = 156

Consequently, row 22 has 156 seats.

We must add up the number of seats in each row to determine the overall number of seats in the auditorium. Since the seat numbers are in numerical order, we may add them using the following formula:

S_n is equal to (n/2)*(a_1 + a_n)

where n is the number of terms, a_1 is the first term, and a_n is the last term; S_n is the sum of the series.

In this instance, there are 36 rows, which corresponds to the number of phrases.  The first term a_1 = 30, and we already found that the number of seats in the 22nd row is 156, which is the last term.

Plugging these values into the formula, we get:S_36 = (36/2) * (30 + 156)

= 18 * 186

= 3348.

Therefore, there are 3348 seats in the auditorium.

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The total number of boys enrolled in the course is 170.

Here are 374 children, are there are 5 boys to every 6 girls.

If the ratio of boys to girls is 5 to 6, then 5 out of every 11 students are boys and 6 out of every 11 students are girls.

Set up a proportion for the boys, where b = the total number of boys.

5/11 = b/374

11b = 1870

b = 1870/11

b = 170

There are 170 boys.

The total number of student is 374, so the number of girls, is 374 -b.

There are 374-170= 204 girls.

Finding a proportionality constant would be another algebraic solution to this issue. The total number indicated by the ratio is 5 + 6 or 11, which is equal to the total number of children when multiplied by the proportionality constant.

Let x = the proportionality constant

11x=374

x=34

The number of boys is 5x and the number of girls is 6x.

5x=5×34 =170 boys

6x=6×34 =204 girls.

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The probability that the mean blood pressure of 64 randomly selected people will be less than 118 is approximately 0.9938.

You want to find the probability that the mean blood pressure of 64 randomly selected people will be less than 118, given that blood pressure readings are normally distributed with a mean of 116 and a standard deviation of 6.4.

Step 1: Calculate the standard error of the mean (SEM).
\(SEM=\frac{standard deviation}{\sqrt{sample size} }\)
\(SEM=\frac{6.4}{\sqrt{64} }\)
\(SEM=\frac{6.4}{8}\)
\(SEM = 0.8\)

Step 2: Calculate the z-score for the given value (118) using the formula:
\(z = \frac{X-mean}{SEM}\)
\(z = \frac{118-116}{0.8}\)
\(z=\frac{2}{0.8}\)
z = 2.5

Step 3: Use the z-score to find the probability (area under the curve to the left of z).
From the z-table or using an online z-score calculator, the probability for a z-score of 2.5 is approximately 0.9938.

So, the probability that the mean blood pressure of 64 randomly selected people will be less than 118 is approximately 0.9938.

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The property agent will receive a commission of $1,310 if he sells the property for $46,000.

The property agent charges a commission of 5% on the first $10,000 of the selling price and 2 1/4% on the remainder of the selling price.

To find the amount of commission he will receive if he sells a piece of property for $46,000, we can break it down into two parts:

1. First, let's calculate the commission on the first $10,000. Since the commission rate is 5%, we can multiply $10,000 by 0.05 to find the commission on this portion:
  Commission on first $10,000 = $10,000 * 0.05 = $500

2. Next, let's calculate the commission on the remainder of the selling price. To find the remainder, we subtract $10,000 from the selling price:
  Remainder = Selling price - $10,000
  Remainder = $46,000 - $10,000 = $36,000

  The commission rate on the remainder is 2 1/4%, which can be expressed as a decimal as 0.0225. We can then multiply the remainder by this commission rate to find the commission on this portion:
  Commission on remainder = $36,000 * 0.0225 = $810

Now, we can add the commission on the first $10,000 to the commission on the remainder to find the total commission:
Total commission = Commission on first $10,000 + Commission on remainder
Total commission = $500 + $810 = $1,310

Therefore, the property agent will receive a commission of $1,310 if he sells the property for $46,000.

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When using the regression analysis tool in Excel, the input Y range refers to the values for the dependent variables, while the input X range refers to the independent variables.

In other words, the Y variable is the outcome or response variable, which is affected or influenced by one or more X variables. The X variable is the predictor or explanatory variable, which helps to explain the variation in the Y variable. The regression analysis tool helps to establish a linear relationship between the dependent and independent variables by estimating the coefficients of the equation that best describes the relationship.

It is important to note that the regression analysis assumes that there is a causal relationship between the independent and dependent variables, which means that changes in the independent variable can cause changes in the dependent variable. Therefore, careful consideration should be given to selecting the appropriate independent variables to include in the analysis, to ensure that the results are accurate and meaningful.

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Answer:Rocket Launch A toy rocket is launched straight up in the air from level ground. The distance (in ft) the rocket is above the ground (the position function) is f (t) = 170t -16t2 at any time t (in sec) . Find

Step-by-step explanation:

Answer:

This isn't the answer, but do you have the rest of the questions?

Step-by-step explanation:

Answer:109

Step-by-step explanation:41+68=109

109-68=41

The simplified form of the given expression is x raise to the power of one-thirty.

Given the indices expression (x^1/2/(x^1/3)^1/5

Using the indices law below:

a^m/a^n = a^m-n

(a^m)^n

Applying the law above to the given equation

(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5

(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5

(x^1/2/(x^1/3)^1/5 = x^1/30

Hence the simplified form of the given expression is x raise to the power of one-thirty.

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Step-by-step explanation:

Well....AD  and AB are equal in length

2x+3 = 11

2x = 8

x = 4    units

Answer:

y = -2x + 12

Step-by-step explanation:

Parallel = Same Slope         Perpendicular = Opposite Reciprocal of Slope

How to find "b" or y intercept:

y = mx + b       (3,6)        slope = m: -2

plug in the corresponding values for the variables

6 = -2(3) + b

12 = b

Answer:

3 11/15 miles

Step-by-step explanation:

4 1/3 - 3/5

4 5/15 - 9/15

3 20/15 - 9/15

3 11/15 miles

Answer:

x = 4 units

Step-by-step explanation:

2/z = z/6

z² = 12

z = 2√3

using the Pythagorean theorem:

x² = 12 + 2²

x² = 16

x = 4

Based on the definition of an equilateral triangle, the value of x is: B. 4 units.

If triangle MRN is created when an equilateral triangle is folded in half, therefore:

x = 1/2 of (NM)

x = 1/2(6 + 2)

x = 1/2(8)

x = 4 units

Therefore, based on the definition of an equilateral triangle, the value of x is: B. 4 units.

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Answer: you are

Step-by-step explanation:because how long is the amount of time it takes to get in the firetruck. Simply put yes you add the minutes it takes

The measure of angle DAB in the given quadrilateral can be calculated as: 109°.

To find the measure of an angle in a quadrilateral, you need to use the fact that the sum of all angles in a quadrilateral is always equal to 360 degrees.

Using the above fact stated, we can add up the three known angles in the given quadrilateral and then subtract it from 360 degrees to find the measure of angle DAB.

Thus, we have:

m<DAB = 360 - (90 + 97 + 64)

m<DAB = 360 - 251

m<DAB = 109°

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Answer:

These are confusing Beth , b/c you have to remember that they will add to 100%

Step-by-step explanation:

so

green = 3*  yellow

100% = green + yellow + 35% + 25%

100% = 3* yellow + yellow +60%

40% = 4* yellow

10% = yellow

30% = green

there are 14 purples in the bag , which is 35% of total

14/.35 = 40

there are a total of 40 pins

so

4    are yellow  (10% of 40  or 40* 0.1)

12 are green    (30% of 40  or 40*0.3)

14  are purple  (35% of 40 or 40*0.35)

10  are grey  (25% of 40  or 40*0.25 )

see?  : |

Answer: The center is (5,-1) and radius is 6.

Step-by-step explanation: The equation: (x-h)^2+(y-k)^2=r^2 is really important. Since we have 36 equal r^2, square root it to get 6. And the center would be 5, because (x-5) but do the opposite operation, same for y+1.  

The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

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The limit of the area between f(x) = 1/x and the x-axis for 1 ≤ x ≤ A as A approaches infinity is infinity.

To find the area between the curve f(x) = 1/x and the x-axis for 1 ≤ x ≤ A, where A is a positive constant, we can set up the definite integral:

Area = ∫[1, A] f(x) dx

Substituting f(x) = 1/x into the integral, we have:

Area = ∫[1, A] (1/x) dx

Integrating, we get:

Area = ln|x| ∣[1, A]

Area = ln|A| - ln|1|

Area = ln|A|

Now, we want to find the limit of the area as A approaches infinity:

lim(A→∞) ln|A|

As A approaches infinity, the natural logarithm of A also approaches infinity, so the limit of ln|A| as A approaches infinity is infinity:

lim(A→∞) ln|A| = ∞

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The length should be 7 while the breadth should be 6 to maximize the area.

The perimeter of the rectangle is twice the sum of its length and breadth.

\(\rm{Perimeter = 2(length +breadth)\)

the area of the rectangle is given as the product of its length and its breadth.

\(\rm{Area ={length\times breadth\)

Permeter = 26 cm

\(\rm{Perimeter = 2(length +breadth)\)

\(26 = 2(length +breadth)\)

\(13=(length +breadth)\)

As we know that the area is given as the product of length and breadth. so, we need to find those numbers whose sum is 13. while their product gives us the maximum area.

Therefore, for the area to be maximum the length and breadth should be maximum.

\(1 \times 12 = 12\\2\times 11 = 22\\3\times 10 = 30\\4\times 9 = 36\\5\times 8 = 40\\6\times 7 = 42\)

Thus, the length should be 7 while the breadth should be 6 to maximize the area.

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True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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Answer:

one left so they all shift by 1

Answer:

62

Step-by-step explanation:

28/4=7
s=7
7*7=49
49+13=62

The value is:

62

Work/explanation:

First, let's solve the little equation 4s = 28.

Divide each side by 4:

\(\bf{4s=28}\)

\(\bf{s=7}\)

Now, plug in 7 into 7s + 13:

\(\bf{7(7)+13}\)

\(\bf{49+13}\)

\(\bf{62}\)