convert the following linear programming problem to standard form: maximize 2^i -f x2 subject to 0 < x\ < 2 x\ %2 < 3 x\ 2x2 < 5 x2 >0 .

Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

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The statement indicates that when a set X is partitioned, each partition forms an  parity relation by grouping together  rudiments that are considered original within each subset, thereby creating distinct and non-overlapping subsets within the original setX.  

The statement" each partition P of X defines an  parity relation on X" means that when a set X is divided into non-overlapping subsets or partitions, each partition creates an  parity relation on the original set X.

An  parity relation is a relation that satisfies three  parcels reflexivity,  harmony, and transitivity.  In the  environment of partitions, when a set X is divided into subsets, each partition forms an  parity relation by grouping together  rudiments that partake a common characteristic or property.

Within each partition, the  rudiments are considered original or affiliated to each other, and they're distinct from  rudiments in other partitions.  The meaning of" each partition P of X" refers to every possible way of dividing the set X intonon-overlapping subsets.

It implies that different partitions may  live grounded on different criteria or conditions for grouping  rudiments.

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Answer:

7812.5 J

Step-by-step explanation:

Kinetic energy is equal to 1/2 m v^2.

The mass of the object is 100 and the velocity is 12.5 m/s.

Therefore, the kinetic energy is 1/2 (100) (12.5)^2 = 7812.5 J.

Answer:

KE = ½ (100kg) (12.5 m/s)2

KE = ½ (100kg)(156.25)

KE = 7,812.5J  

answer ^

Step-by-step explanation:

KE = ½ mv2

KE = ?

m = 100kg

v = 12.5m/s

Answer:

1660.75 square feet

Step-by-step explanation.

Width=x

Length =x+9

((x)+(x+9))×2=182 feet

(2x+9)×2=182

18+4x=164

x=36.5

Width=36.5 feet

Length=45.5 feet

Area=36.5×45.5

=1660.75 square feet

Answer:

\(\frac{257357187500}{19683}\)

Step-by-step explanation:

We can convert these mixed fractions to ordinary fractions.

\(4(1/3)=\frac{(4*3)+1}{3}=\frac{13}{3}\)

\(3(1/3)=\frac{10}{3}\)

\(3(1/2)=\frac{7}{2}\)

\(9(3/4)=\frac{39}{4}\)

Then we have:

\(\frac{13}{3}*(\frac{10}{3}*\frac{7}{2})^{7}*\frac{4}{39}\)

\(\frac{257357187500}{19683}\)

I hope it helps you!

Answer:

Step-by-step explanation:

Total money spent = 71

Parking fee = 15

71 - 15 = 56

Each ride costs = 4

Total rides = 56 ÷ 4 = 14 rides

The box plots provide visual representations of the distribution of salaries at two companies, Company A and Company B. To compare the ranges and medians of the data sets, we examine the characteristics of each box plot.

The range of a data set represents the difference between the maximum and minimum values. Looking at the box plots, we can determine that the range of Company A's salaries is larger than the range of Company B's salaries.

This can be inferred by observing the lengths of the whiskers, where the whiskers in Company A's box plot extend further in both the upper and lower directions compared to Company B's box plot.

The median of a data set represents the middle value when the data is arranged in ascending or descending order. Comparing the medians of the two box plots, we can determine that the median of Company A's salaries is higher than the median of Company B's salaries.

This is evident by comparing the positions of the medians within the boxes. In Company A's box plot, the median is closer to the upper quartile, indicating a higher median salary, while in Company B's box plot, the median is closer to the lower quartile, suggesting a lower median salary.

In summary, the range of salaries at Company A is larger than that of Company B, indicating a wider spread of salary values. Additionally, the median salary at Company A is higher than the median salary at Company B, suggesting a higher central tendency or midpoint in the distribution of salaries.

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Answer:

4 and 2

Step-by-step explanation:

4x4+2x2

16+4=20

The height of the right circular cylinder with volume of 500π cubic centimetre and radius of 5 centimetre is 20 cm.

volume = πr²h

where

Therefore,

volume = 500π cm³

r = 5 cm

Therefore,

volume of the cylinder = πr²h

500π = 5²πh

500π = 25πh

divide both sides by 25π

500π / 25π = 25πh / 25π

h = 20 cm

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Answer:

A) 20 cm

Step-by-step explanation:

Answer: 14 miles per hour

Step-by-step explanation:

Answer:

the awnser is b hope this helps

Step-by-step explanation:

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

The given function is x/16 + y/320 - 29 = 0.

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.

Now, the LCM of denominators 16 and 320 is 320.

So, 20x/320 + y/320 - 9,280/320 = 0

⇒20x+y-9280=0

⇒y=9280-20x

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

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Answer:6

Step-by-step explanation:

Answer:

6.............................

Step-by-step explanation:

Answer:

The result for the difference in lung cancer worry between males and females was not statistically significant in Hahn's (2017) study (t(45)=0.69, p > 0.05). The results for the differences in worry between smokers and nonsmokers, and those who did and did not graduate high school, were statistically significant with p values less than 0.05.

Step-by-step explanation:

Answer:

Step-by-step explanation:

We need to find the value (f-g)(2), so we need first to substitute 2 into the given functions f(x) and g(x) and then subtract the result of g(2) from f(2).

Here, f(x) = 3x^2 + 1 and g(x) = 1 - x,

So, We will substitute 2 into these functions:

f(2) = 3(2)^2 + 1 = 3(4) + 1 = 12 + 1 = 13

g(2) = 1 - 2 = -1

Now, we can subtract g(2) from f(2):

(f-g)(2) = f(2) - g(2) = 13 - (-1) = 13 + 1 = 14

Hence, the required value of (f-g)(2) is 14.

Answer:

The correct answer is 3. To solve for g(-2), we substitute -2 for x in the equation g(x) = 2x + 5. This gives us g(-2) = 2(-2) + 5, which simplifies to -4 + 5 = 1. Next, we substitute the value of g(-2) into the equation for f(g(x)) = 4 - x^2. Thus, f(g(-2)) = 4 - (1)^2, which equals 4 - 1 = 3.

Answer:

A, .54

Step-by-step explanation:

The number line ranges from .542 up until .611, giving you three options below. For .6, it can be translated into .600 which is in bounds of the number line. Next for .604, it is still in bounds of the number line. For .54 it would be translated to .540 which is not in bounds, being before .542.

Answer:

64/100

Step-by-step explanation:

Answer: 16/25or64/100

Step-by-step explanation: 64/100 and divide it by 4 . To change a percent to a fraction, put the percentage over 100 (after removing the % sign) and simplify if necessary

Answer:

2/3

Step-by-step explanation:

half are choclate so the rest is 50% and 1/3 is vanilla so 2/3 are strawberry and chocolate

1/3 portion of the cupcakes are strawberry with chocolate frosting.

An individual part or share of something is called as portion.

It also refers to the divide something into parts.

Now it is given that,

Portion of chocolate cupcakes = 1/2

Portion of strawberry cupcakes = 1/2

Of the strawberry cupcakes.

frosted with vanilla frosting = 1/3

frosted with chocolate frosting = 1-1/3 =  2/3

Since, 1/2 portion of all the cupcakes are strawberry cakes and out of 1/2, 1/3 are frosted with vanilla frosting and 2/3 are frosted with chocolate frosting.

strawberry cupcakes frosted with chocolate frosting = 2/3 of 1/2 = 2/6

⇒strawberry cupcakes frosted with chocolate frosting = 1/3

Hence,1/3 portion of the cupcakes are strawberry with chocolate frosting.

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Answer:

Domain = (-∞, ∞) Range = (-∞, ∞)

End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞

Inflection Point: (2,0)

Step-by-step explanation:

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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The value of 3¾ft in yards would be = 1 6/25 yard

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

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The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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Answer:

Can you picture the question?

Answer:

look around for it maybe it fell under your bed, couch etc just look

Step-by-step explanation:

Answer:

235.5 cm³

Step-by-step explanation:

Volume of a cylinder is the area of the circular base times the height of the cylinder:

V = π r² h

Given r = 5 cm and h = 3 cm:

V = (3.14) (5 cm)² (3 cm)

V = 235.5 cm³

Answer:

\(1 + 100 - 100 + 1000 \\ = 1 + 0 + 1000 \\ = 1001 \\ thank \: you\)

Answer: The correct answer would be 1,001!

Step-by-step explanation:

1 + 100 = 101

101 - 100 = 1

1 + 1,000 = 1,001

I hope this helps!!!!!

Answer:

-7/12

Step-by-step explanation:

-5-2 = -7    y

and

8- (-4)=12    x

Answer:

slope = -1/4

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (-5-(-2))/(8-(-4)

m = -3/12

m = -1/4

Hope this helps!    :3

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Answer:

\(y = 32 - \frac{1}{2}x\)

Step-by-step explanation:

Given

\(Cups = 32\) ---- not 52

\(Students = x\)

\(Remainder = y\)

\(Each = \frac{1}{2}\) --- not z

Required

The equation for y

The remainder y is calculated as:

\(y = Cups - Students * Each\\\)

\(y = 32 - \frac{1}{2}x\)