Find the dimensions of the rectangle meeting the specified conditions. The perimeter is 420 centimeters and the width is 30 centimeters less than the length.

Answer:

587.18 in²

Step-by-step explanation:

In the above question, we are given the following values

Diameter = 11 inches

Radius = Diameter/2 = 11 inches/2 = 5.5 inches

Slant height = 28.5 inches.

We were asked to find how many square inches of paper will she need to cover the ENTIRE cone.

To solve for this, we would use formula for Total Surface Area of a Cone

Total Surface Area of a Cone = πrl + πr²

= πr(r + l)

Using 3.14 for π

Total Surface Area of a Cone

= 3.14 × 5.5( 5.5 + 28.5)

= 3.14 × 5.5 × (34)

= 587.18 in²

Therefore, Anita will need 587.18 square inches of paper to cover the entire cone.

Answer:

B

Step-by-step explanation: Just trust me bro

Answer: $920

Step-by-step explanation:  

$115x8=$920 which is the total cost of eight tickets

Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

Answer:

64lbs of soil

Step-by-step explanation:

i had this question before and got it right hopess this helps :)

Answer:

x = 19

x + 9 = 28

7x = 133

Step-by-step explanation:

Step-by-step explanation:

1. Pick two points on the line and use them to find the slope.

2. Then, find the coordinates of the y-intercept.

3. The y- coordinate is the value of b in the equation.

Answer:

Step-by-step explanation:

First find the slope of the line.

If the 2 points are (x1, y1) and (x2, y2) then the slope is (y2-y1)/(x2-x1).

Then we can use the point-slope form of the equation of the line:

y - y1 = m(x - x1)  where m = the slope and by substituting the point (x1, y1) we can  convert the equation to slope intercept form ( which is y = mx + b).

Example:

Find slope-intercept equation for the line joining  the points (1, 0) and (3, 4):

The slope = (4 - 0)/(3 - 1) = 4/2 = 2.

Now we plug in the slope m and the point (3, 4) into  y - y1 = m(x - x1):

y - 4 = 2(x - 3)       (Note we can use (1, 0) OR (3, 4) as they are both on line).

y - 4 = 2x - 6

y = 2x - 6 + 4

y = 2x - 2 which is slope-intercept form.

The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.

Unit 1:

Pmin = 200 MW

Pmax = 500 MW

Ci = $50/MWh

Unit 2:

Pmin = 150 MW

Pmax = 400 MW

Ci = $40/MWh

Unit 3:

Pmin = 100 MW

Pmax = 300 MW

Ci = $30/MWh

To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.

Suppose the load demand is D MW. We allocate the load demand to the units as follows:

Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:

Cost1 = Ci * P1, where P1 is the power output of Unit 1.

Step 2: If there is still remaining load demand, allocate it to Unit 2:

Cost2 = Ci * P2, where P2 is the power output of Unit 2.

Step 3: If there is still remaining load demand, allocate it to Unit 3:

Cost3 = Ci * P3, where P3 is the power output of Unit 3.

Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:

Cost_total = Cost1 + Cost2 + Cost3

To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.

In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

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Answer:

17 seats per row

Step-by-step explanation:

We Know

68 seats in 4 rows

How many seats per row?

We Take

68 ÷ 4 = 17 seats per row

So, there are 17 seats per row.

The answer is:

Work/explanation:

Find the number of seats per row by dividing the number of seats in all 4 rows by the number of rows:

\(\sf{68\div4=17}\)

There are 17 seats per row.

The strategy to use to find out how much framing material they will need is d. Cover the poster with square-inch grid paper to find the area

Cover the poster with square-inch grid paper to find the area - This method would give the total number of square inches of the poster and would be a good starting point for determining the size of the frame required.

The recommended strategy would be to measure the poster in inches with a ruler to determine the dimensions, then use that information to calculate the total area. This would be a good starting point for determining the size of the frame required.

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Answer:

Step-by-step explanation:

20=16−b−15

20=1−b

b= -19

Answer:

-9

Use papa math for all your hard equations (not sponsored)

Answer:

Step-by-step explanation:

A product is formed by multiplying the factors. Here, you want the product of -2 and x, so that is indicated as ...

  -2x

You want that product greater than 30. The symbol for "greater than" is >, so you have ...

  -2x > 30 . . . . the desired inequality

__

The most straightforward way to solve this is to divide by the coefficient of x. Because that is negative, you must reverse the inequality symbol from "greater than" to "less than."

  x < 30/(-2)

  x < -15 . . . . . . the desired solution

_____

Additional comment

It may not be clear why multiplying or dividing an inequality causes the symbol to be reversed. You can think of it as reflecting the inequality over the point x=0 on the number line. Where larger numbers were on the right, they get reflected to points farther left, so as negative numbers, they are smaller numbers.

Consider ...

  1 < 2

  -1 > -2

Answer:

X >= 6.7

Step-by-step explanation:

So first of all, what you need is write out the equation from the given prompt

x + 2.7 >= 9.4
Next, what you really want to do is

Subtract 2.7 both side
x >= 9.4 - 2.7
x >= 6.7

The ant population will double in approximately 24 weeks, or 6 months. This can be found using exponential growth formula.

To find the time it takes for the ant population to double we can use the formula for exponential growth: A = A0 * e^(rt), where A is the population at a given time t, A0 is the initial population, r is the growth rate, and e is the mathematical constant approximately equal to 2.718.

In this case, we have A0 = 4,000, r = 0.03 (since the population is increasing at a rate of 3% per week), and we want to find the value of t when A = 8,000 (since we want to know when the population has doubled). Plugging these values into the formula, we get:

8,000 = 4,000 * e^(0.03t)

Dividing both sides by 4,000 and taking the natural logarithm of both sides, we get:

ln(2) = 0.03t

Solving for t, we get:

t = ln(2) / 0.03

Using a calculator, we find that t is approximately 23.1 weeks. Rounded to the nearest week, this is 24 weeks. Therefore, it will take approximately 24 weeks, or 6 months, for the ant population to double.

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Hey there! :)

Answer:

\(\frac{121}{9}\)

Step-by-step explanation:

We can solve this by first converting -3 2/3 to an improper fraction:

\(-3\frac{2}{3} = \frac{-11}{3}\)

Square the fraction:

\((\frac{-11}{3})^{2} = (\frac{-11}{3}) * (\frac{-11}{3}) = \frac{121}{9}\)

Yes , it is possible that t for every positive integer n there is a circle in the plane which contains exactly n lattice points in its interior

A lattice point may be defined as the point of intersection of two grid lines or more than two grid lines that is placed in a regularly spaced points arrays. This is called a lattice point.

A formal power series that encodes the coefficients of a sequence of numbers is a generating function.

Here, the coefficients of the sequence {Sₙ} are encoded by the generating function S(x). where Sₙ is the number of lattice paths as described above.

Here we will use the fact that the generating function for a sequence satisfies a functional equation that relates the generating function to the sequence itself to prove that 1 + (x – 1)S(x) + xS(x)² = 0,

Here, the functional equation is

S(x) = 1 + xS(x) + xS(x)²

This equation implies that

The term 1 on the right-hand side corresponds to the fact that to reach the point (0,0) (the starting point), there is exactly one way which is to stay at the starting point.

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Answer:

V=1080

Step-by-step explanation:

It's simple enough.  Just do LxWxH! :D

\((12)(15)(6)\)

\((12)(90)\)

\(1080\)

Answer:

A

Step-by-step explanation

Dilation: A shape is scaled up or down by a scale factor

Translation: A shape is moved on a coordinate plane to a different spot.

A works because lets you one side (the bottom side). The bottom has a length of 3, and the bigger one has a length of 6, showing a scale factor of 2.

Answer:

----------------------------

The graph of f(x) shows the vertex at (3, 2)

Answer:

Step-by-step explanation:

the answer is c

Answer:

the last one

Step-by-step explanation:

Mean is 5.2, median is 5 and S.D is 2.135

Given data 2, 4, 5, 7, 8

We need to find mean, Median and standard deviation

Mean = Sum of Observations/ Number of observations

Median=Middle most Number when arranged in a sequence

Mean = (2+4+5+7+8)/5=26/5=5.2

Median= 5

Standard deviation:

S.D=∑(x- bar)^2/N

To find sD

Subtract mean from each value

2-5.2=-3.2

4-5.2=-1.2

5-5.2=-0.2

7-5.2=1.8

8-5.2=2.8

Square each of those differences

-1.2*-1.2=1.44

-3.2*-3.2=10.24

-0.2*-0.2=0.04

1.8*1.8=3.24

2.8*2.8=7.84

Determine the average of those squared numbers to get the variance.

1.44 + 10.24 + 0.04 + 3.24 + 7.84 = 22.8

Average = 22.8/5=4.56

To find the standard deviation make square root of variance

2.135

Therefore Mean is 5.2, median is 5 and S.D is 2.135

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Answer:

Step-by-step explanation:

the volume of a rectangle is length x width x height, so the volume of the first rectangle is 2700.

the square has a length and width of 15 with a missing height. because they have the same volume, you can plug in the length and width of the square with the volume of the prism to find the height

v = length x width x height

2700 = (15)(15)h

2700/225 = h

the height is 12

The MP curve initially rises to its maximum value because of the specialized nature of the fixed capital, where each additional worker's productivity rises due to the marginal product of the fixed capital.

Production Function: q = f(L,K) = 20L + 25K + 5KL - 0.03L² - 0.02K²

Given, K = 5, i.e., capital is fixed. Therefore, the total product of labor, average product of labor, and marginal product of labor are:

TPL = f(L, K = 5) = 20L + 25 × 5 + 5L × 5 - 0.03L² - 0.02(5)²

= 20L + 125 + 25L - 0.03L² - 5

= -0.03L² + 45L + 120

APL = TPL / L, or APL = 20 + 125/L + 5K - 0.03L - 0.02K² / L

= 20 + 25 + 5 × 5 - 0.03L - 0.02(5)² / L

= 50 - 0.03L - 0.5 / L

= 49.5 - 0.03L / L

MP = ∂TPL / ∂L

= 20 + 25 - 0.06L - 0.02K²

= 45 - 0.06L

The following diagram illustrates the TP, MP, and AP curves:

Figure: Total Product (TP), Marginal Product (MP), and Average Product (AP) curves

The production function demonstrates increasing marginal returns due to specialization when L is low enough, i.e., when L ≤ 750. The marginal product curve initially increases and reaches a maximum value of 45 units of output when L = 416.67 units. When L > 416.67, MP decreases, and when L = 750 units, MP becomes zero.

The MP curve's initial increase demonstrates that the production function displays increasing marginal returns due to specialization when L is low enough. This is because when the capital is fixed, an additional unit of labor will benefit from the fixed capital and will increase production more than the previous one.

In other words, Because of the specialised nature of the fixed capital, the MP curve first climbs to its maximum value, where each additional worker's productivity rises due to the marginal product of the fixed capital.

The APL curve initially rises due to the MP curve's increase and then decreases when MP falls because of the diminishing marginal returns.

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Answer-

yes

Step-by-step explanation:

yes, because no matter what value you plug in for x, you'll always get the same y.

For instance, if you plug in 3 as the value for x, y will always be 1.  This is true for every x, so this is a function.

Aisha's net balance after writing the check of $100 to five employees will be $260 .

Given, Aisha’s account balance $760.

Now, to get the net balance of account after deductions .

Remaining amount = Original Balance - Payment amount.

Substitute the values,

Remaining amount = $760 - 5 × $100

Remaining amount = $760 - $500

Remaining amount = $260

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