The students in Mrs. Fishers class planted seeds. Each seed was given sunlight and water. Mrs. Fisher measured one plants height each week.

* After 4 weeks, the height was 2 centimeters.
* After 7 weeks the height was 4.5 centimeters.
* After 9 weeks, the height was 6 centimeters.

A student noticed the data suggest a linear association between the height of the plant, y, in centimeters, after x weeks.

What is a reasonable value for n?

Please answer as soon as possible due in an hour. Thank you.

Answer:

a)3.68kg

b)900g

Step-by-step explanation:

a) First off we know that he weighs 4kg now and he weighed 8% less the next week. 8% of 4kg=0.32kg. We then have to subtract 0.32 kilograms from the original weight. 4-0.32=3.68

Your answer for A is 3.68 kg

b) If the baby gains 200g every two weeks, assuming it's a constant rate, he should gain 100g every week. 100*9weeks=900g.

The correct answer is a. True, b. False, c. True, d. True

The mean of Region 2 is 36+ 37+ 2x38+ (39+41)x3 +40x4+42/15 = 39.4°C

(The mean = all temperature of region divided by the number of states )

So,  39.4- 33.6 = 5.8 True

So False (variability is comparing the density)

The difference is 39.4 - 33.8= 5.6

The MAD of Region 3 is (32 - 33.8) +2 x (34 -33.8) + 2x (35 - 33.8) + 4x (36-33.8) + 2x (37-33.8) + 2x (38-33.8) + (39-33.8) + (40-33.8) ÷ 15 = 2.64

2-64 × 2 = 5.28, so true

33.8 is closest to 35.6, so true.

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The value of x is given as follows:

x = 21 cm.

The value of x is obtained applying the proportions in the context of the problem.

The ratio between the volumes is given as follows:

2430/90 = 27.

The side lengths are measured in units, while the volume is measured in cubic units, hence the proportion to obtain the value of x is given as follows:

x/7 = cubic root of 27

x/7 = 3

x = 21.

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As a result, when the entire circumference is 20 feet, the Norman window's maximum area measurements are as follows: x = 8 feet, or around 2.546 feet, is the width, Height: 9.087 feet, or about y = 16 - 16/feet.

Perimeter is the total distance around the boundary of a two-dimensional shape, such as a polygon, a circle, or a rectangle. It is the sum of the lengths of all sides or edges of the shape.

Area is a measure of the size or extent of a two-dimensional surface or region. It is the amount of space enclosed within a closed shape or boundary.

Let's assume that the width of the rectangular part of the window is x and the height is y.

The perimeter of the window is given by:

Perimeter = width + height + semicircle circumference

Perimeter = x + y + πx/2

We are given that the total perimeter is 20 feet, so we can write:

x + y + πx/2 = 20

We can solve for y in terms of x:

y = 20 - x - πx/2

The area of the window is given by:

Area = rectangular part area + semicircle area

Area = xy + πx^2/8

We can substitute the expression we obtained for y into the equation for the area:

Area = x(20 - x - πx/2) + πx^2/8

Simplifying this expression, we get:

Area = 20x - (π/2)x^2 + πx^2/8

Area = 20x - (π/2)x^2/4

To find the maximum area, we can take the derivative of the area function with respect to x and set it equal to zero:

d/dx (Area) = 20 - (π/2)x/2 = 0

Solving for x, we get:

x = 8/π

Substituting this value back into the expression for y that we obtained earlier, we get:

y = 20 - 8/π - π(8/π)/2 = 20 - 4π/π - 16/π = 20 - 4 - 16/π = 16 - 16/π

Therefore, the dimensions of the Norman window of maximum area when the total perimeter is 20 feet are:

Width: x = 8/π feet (approximately 2.546 feet)

Height: y = 16 - 16/π feet (approximately 9.087 feet)

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The dimensions of the Norman window of maximum area when the total perimeter is 20 feet are:

Width: x = 8/π feet (approximately 2.546 feet)

Height: y = 16 - 16/π feet (approximately 9.087 feet)

Perimeter is the total distance around the boundary of a two-dimensional shape, such as a polygon, a circle, or a rectangle. It is the sum of the lengths of all sides or edges of the shape.

Area is a measure of the size or extent of a two-dimensional surface or region. It is the amount of space enclosed within a closed shape or boundary.

Let's assume that the width of the rectangular part of the window is x and the height is y.

The perimeter of the window is given by:

Perimeter = width + height + semicircle circumference

Perimeter = x + y + πx/2

We are given that the total perimeter is 20 feet, so we can write:

x + y + πx/2 = 20

We can solve for y in terms of x:

y = 20 - x - πx/2

The area of the window is given by:

Area = rectangular part area + semicircle area

[tex]Area = xy + \pi x^{2/8[/tex]

We can substitute the expression we obtained for y into the equation for the area:

[tex]Area = x(20 - x - \pi x/2) + \pi x^{2/8[/tex]

Simplifying this expression, we get:

[tex]Area = 20x - (\pi /2)x^2 + \pi x^{2/8[/tex]

[tex]Area = 20x - (\pi /2)x^{2/4[/tex]

To find the maximum area, we can take the derivative of the area function with respect to x and set it equal to zero:

d/dx (Area) = 20 - (π/2)x/2 = 0

Solving for x, we get:

x = 8/π

Substituting this value back into the expression for y that we obtained earlier, we get:

y = 20 - 8/π - π(8/π)/2 = 20 - 4π/π - 16/π = 20 - 4 - 16/π = 16 - 16/π

Therefore, the dimensions of the Norman window of maximum area when the total perimeter is 20 feet are:

Width: x = 8/π feet (approximately 2.546 feet)

Height: y = 16 - 16/π feet (approximately 9.087 feet)

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By using the partial sum of series is

[tex]a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]

and summation n=1 to infinity of [tex]a_{n}[/tex] is =6 .

To obtain the formula for the nth term of the series and its total, we must first discover the formula for the series' general term.

The formula for the series' nth partial sum is as follows:

[tex]sn = 6 - n*5^{-n}[/tex]

The nth term of the series can be obtained by subtracting the (n+1)th and nth partial sums, i.e.,

a = sn+1 - sn

When we substitute the formula for sn, we get:

[tex]a_{n} = [6 - (n+1)5^{(-(n+1))} ] - [6 - n5^{(-n)} ]\\a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]

As a result, the formula for the series' nth term is:

[tex]a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]

To calculate the series total, take the limit of the nth partial sum as n approaches infinity:

lim(n->inf) lim(n->inf) sn [6 - n*5^(-n)]

lim(n->inf) [n*5(-n)] = 6

= 6 - 0

= 6

As a result, the series' sum is 6.

As a result, the formula for the nth term in the series is:

[tex]a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]

And the series' total is:

a = sum(n=1 to inf) = 6

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The cash payback period for the project is 4.7 years.

The cash payback period is a financial metric that calculates the amount of time it takes for a project to generate enough cash flows to recover the initial investment (cost). It is calculated by dividing the initial investment by the estimated annual net cash flows.

Decimal refers to a system of numbers based on the number 10, where each digit represents a different power of 10. It is a way of expressing numbers using a decimal point to separate the whole number from the fractional part.

Given:

Estimated annual net cash flows = $55,800

Initial investment (cost) = $262,260

Cash Payback Period = Initial Investment / Estimated Annual Net Cash Flows

Putting the values:

Cash Payback Period = $262,260 / $55,800

Calculating the cash payback period:

Cash Payback Period = 4.7 years (rounded to one decimal place)

Therefore, the cash payback period for the project is 4.7 years.

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The area and the perimeter of the given parallelogram are 36.792 mm² and 24.28 mm respectively.

In Euclidean geometry, a parallelogram is a simple quadrilateral having two sets of parallel sides.

The confronting or opposed sides and the opposing angles of a parallelogram are of equal length.

There are four distinct types of parallelograms, including three distinct types.

Rhombuses, parallelograms, squares, and rectangles are the four types.

So, the given image itself tells that the given figure is a parallelogram.

The area of the given parallelogram is:
A = b*h

A = 6.3*5.84

A = 36.792 mm²

The perimeter of the given parallelogram:

P = 2(a+b)

P = 2(6.3+5.84)

P = 24.28 mm

Therefore, the area and the perimeter of the given parallelogram are 36.792 mm² and 24.28 mm respectively.

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The volume of the container is 100 cubic inches.

The volume of a rectangular container is calculated by multiplying its base area by its height. Since the base of the container is square with an area of 25 square inches, the length of each side of the square base is the square root of 25, which is 5 inches.

Therefore, the volume of the container can be calculated as follows:

Volume = Base Area × Height

Volume = 25 square inches × 4 inches

Volume = 100 cubic inches

So, the volume of the container is 100 cubic inches.

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Answer:

100 Minutes

Step-by-step explanation:

Step 1: Break it down-

3¢ can be expressed as 0.3

Step 2: Add monthly charge-

Since there is a 10$ monthly charge: 40-10=30

Step 3: Subtract-

Now divide: 30 ÷ 0.3

Step 4: Final Answer-

Hence the amount of minutes per month= 100