Help anyone can help me do this question,I will mark brainlest.​

Help Anyone Can Help Me Do This Question,I Will Mark Brainlest.

Answers

Answer 1

Answer:

x = 10

Step-by-step explanation:

From the front view: (base* is actually the height, being longer)

Let length = k and breadth = 2 cm

From the front view:

Height of the triangle =

= length of rectangle - breadth

= k - 2

Given, height = 6cm

Therefore, k - 2 = 6 → k = 8

Length = 8 cm

The base of the triangle is length of the rectangle.

Base = 8 cm

Now, perimeter = 24 cm

=> height + base + hypotenuse = 24 cm

=> 8 + 6 + x = 24 cm

=> x = 10 cm

2):

Perimeter of shape =

= sum of outer boundaries

= breadth + length + length + breadth + x

= 2 + 8 + 8 + 2 + 10

= 30 cm


Related Questions

In the graph above, what's the distance between (0, 2) and (5, 2)? Question 16 options: A) 2 units B) 5 units C) –5 units D) 4 units

Answers

Answer:

B) 5 units

Step-by-step explanation:

The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.

What is the distance between two points?

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

The two pints are given below.

(0, 2) and (5, 2)

Then the distance between these points (0, 2) and (5, 2) will be given as,

D² = (5 - 0)² + (2 - 2)²

D² = 5²

D = 5 units

The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.

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The perimeter of the base of a square pyramid is 32 inches. The height of the pyramid is 3 inches. What is the surface area of the pyramid?

Responses

128 in°

96 in²

144 in²

72 in²

Answers

The surface area of the pyramid is 112 square inches if the perimeter of the base of a square pyramid is 32 inches. Thus, option A is correct.

The perimeter of a square pyramid = 32 inches

The height of a square pyramid = 3 inches

If the perimeter is 32 inches, then the sum of the lengths of all four sides is 32 inches.

Length of side= 4s = 32

Length of side = 8 inches

Area of square = \(a^{2}\) = \(8^{2}\) = \(64 inch^{2}\)

Area of triangle =  (1/2) x base x height

Area of triangle = (1/2) x (8) x (3)

Area of triangle  = \(12 in^2\)

The total area of four triangles is calculated by:

Total area of triangle = 4 x (12) = \(48 in^2\)

The total surface area of the pyramid =  area of square + Area of triangle The total surface area of the pyramid  = 64 + 48 = 112 in^2

Therefore, we can conclude that the surface area of the pyramid is 112 square inches.

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The complete question is:

The perimeter of the base of a square pyramid is 32 inches. The height of the pyramid is 3 inches. What is the surface area of the pyramid?

Responses

a. 112 in°

b. 96 in²

c. 144 in²

d. 72 in²

use the given functions to answer the question.
f(x)=x^2+2x-5
g(x)--3x^2-4x+1
what is f(x)-g(x)

Answers

f(x)=x^2+2x-5

g(x)--3x^2-4x+1

what is f(x)-g(x)

f(x)-g(x)= x^2 + 2x - 5 - 3x^2 - 4x + 1

Group like terms.

x^2 - 3x^2 + 2x - 4x - 5 + 1

Add/Subtract similar terms

2x^2 - 2x - 4

f(x) - g(x) = 2x^2 - 2x - 4

-2x²-2x-4

Is the answer. I know because I took the test.

find the probability that a randomly selected person from this sample believed the true headline or believed the false headline.

Answers

The probability is 1, or 100%, that a randomly selected person from this sample believed either the true headline or the false headline.

What is Probability?

Probability is a measure of the likelihood or chance that a specific event will occur. It is expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain to occur.

The probability that a randomly selected person from this sample believed the true headline or believed the false headline can be calculated by adding the number of people who believed the true headline to the number of people who believed the false headline and dividing by the total sample size.

In this case, the number of people who believed the true headline is 120, and the number of people who believed the false headline is 80. Therefore, the total number of people who believed either headline is 120 + 80 = 200.

The total sample size is also 200, so the probability that a randomly selected person from this sample believed the true headline or believed the false headline is:

(120 + 80) / 200 = 200 / 200 = 1

Therefore, the probability is 1, or 100%, that a randomly selected person from this sample believed either the true headline or the false headline.

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Complete Question:

In a sample of 200 people, 120 believed a true headline and 80 believed a false headline. What is the probability that a randomly selected person from this sample believed the true headline or believed the false headline?

The sheet of metal has dimensions 56 cm by 33 cm. It sis melted down
and recast into discs of the same thickness and radius 7 cm. How many
disces will be cast ?

Answers

Answer:

12 discs

Step-by-step explanation:

Sheet metal has dimensions of 56 cm by 33 cm. This indicates that it is a rectangle.

A_rectangle = length × width

A_rect = 56 × 33

A_rect = 1848 cm²

It is now melt down and recast into disc's of 7 cm radius and similar thickness.

Thus;

Area of one disc = πr² = π × 7² = 49π

Thus,number of disc's cast = 1848/49π

number of disc's cast = 12

Given the formula D=qh, solve for q.

Answers

Answer:

D/ h =q

Step-by-step explanation:

D = qh

Divide each side by h to isolate q

D/ h = dh/h

D/ h =q

Step-by-step explanation: To solve for q in the equation d = qh, all we have to do is get q by itself on the right side of the equation.

Since q is being multiplied by h, to get q by itself,

we simply divide both sides of the equation by h.

On the right, the h's cancel and we are re left with q.

On the left we have \(\frac{d}{h}\).

So our answer is \(\frac{d}{h} = q\).

the following is a summary of a one-way between-subjects anova: f(2, 37) = 3.42, p < .05, η 2 = .12. how many pairwise comparisons need to be made for this anova result?
a.2
b.3
c.4
d.12

Answers

The pairwise comparisons that need to be made for this anova result will be b.3

How to calculate the value

In order to determine the number of pairwise comparisons needed for a one-way between-subjects ANOVA with three groups, we can use the formula:

N = (k * (k-1)) / 2

Where N represents the number of pairwise comparisons and k represents the number of groups. In this case, k = 3.

Plugging in the values:

N = (3 * (3-1)) / 2

N = (3 * 2) / 2

N = 6 / 2

N = 3

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M=3 (1,5) in slope intercept form

Answers

Answer:

y=3x+5

Step-by-step explanation:

can you please help me with this 2 part problem ? there is another image to go with this I'll send to you

can you please help me with this 2 part problem ? there is another image to go with this I'll send to

Answers

Question 13.

The estimated monthly cost of an energy-efficient refrigerator is $57, meaning the yearly cost is

\(57\cdot12=\$684\)

Question 14.

The least energy-efficient refrigerator costs $72 per month, meaning the annual cost is

\(\$72\cdot12=\$864\)

Therefore, the amount you will save on an energy-efficient refrigerator be

\(\$864-\$684=\$180\)

Hence, the amount saved on an energy-efficient refrigerator will be $180.

Examine these lyrics from "Fireflies" by Owl City:

You would not believe your eyes
If ten million fireflies
Lit up the world as I fell asleep

'Cause they fill the open air
And leave teardrops everywhere
You'd think me rude but I would just stand and stare

To ten million fireflies
I'm weird cause I hate goodbyes
I got misty eyes as they said farewell

Which of the following is true?

A.) The lyrics shared here have no rhyme scheme.
B.) The lyrics shared here are divided into three stanzas.
C.) The lyrics shared here could be considered a sonnet.
D.) The lyrics shared here end in a couplet.

*I know that A. Isn’t right.*

Answers

Answer:

They are divided into 3 stanzas so B.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Songs are like poetry, they are written in stanzas. Pls mark brainliest

NEED HELP ASAP!!

Mikes repair shop:
$100 service charge
Plus $65 per hour

Amy’s auto repair shop:
$40 service charge
Plus $80 per hour

Fast forward a few years and suppose you need to get your car repaired. You see the ads above and decide to write an equation to represent the total cost at each repair shop.

X= number of hours for repair
Y= total cost

Mikes repair shop: y=100+65x
Amy’s auto repair: y=40+80x

1. Use the substitution or elimination method to find the point of intersection. SHOW your work below.

2. At what point do the two lines intersect? What is the meaning of the point intersection in the context of this problem?

3. If it takes 3 hours to fix your car, which company is the cheapest and what is the associated cost? SHOW your work below

Answers

Answer:

To find the point of intersection, we can equate the two equations to eliminate either x or y. For example, let's equate them for y:

100 + 65x = 40 + 80x

Solving for x:

60 = 15x

x = 4

Substituting x = 4 into one of the equations, say Mikes repair shop:

y = 100 + 65x

y = 100 + 65 * 4

y = 100 + 260

y = 360

So the point of intersection is (4, 360).

The point of intersection (4, 360) represents the hours and cost at which both repair shops charge the same amount. In other words, if it takes 4 hours to repair your car, then both Mikes repair shop and Amy's auto repair will charge you the same amount of $360.

If it takes 3 hours to fix your car, then the cost at Mikes repair shop will be:

y = 100 + 65x

y = 100 + 65 * 3

y = 100 + 195

y = 295

And the cost at Amy's auto repair will be:

y = 40 + 80x

y = 40 + 80 * 3

y = 40 + 240

y = 280

So Amy's auto repair is cheaper and the cost will be $280.

Hope this helps!

please help!!!! D:
(word problem grade 7-8)​

please help!!!! D:(word problem grade 7-8)

Answers

Answer:

1

Step-by-step explanation:

To solve this, first, take 22 minutes and divide it by 60 minutes, which is the number of minutes in an hour. Then, add two to the value, and multiply it by six square meters per hour, which is the rate that David can paint the wall. From there, you get 14.2 square meters which he painted in 2 hours and 22 minutes. Divide 14.2 square meters by the length of 11 meters to get 1.290 meters. Since they asked you to round to the nearest meter, you get 1 meter.

Identify the percent of change as an increase or a decrease.

5/4 to 3/8
Responses

Increase
Increase

Decrease
Decrease
Question 2
Find the percent of change. Round to the nearest tenth of a percent if necessary.

Answers

The percentage of the change is 70% decrease

How to identify the percentage change as increment or decrement

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

Initial value = 5/4

Final value = 3/8

3/8 is less than 5/4

This means that the percentage is a decrease

What is the percentage change?

We have

Initial value = 5/4

Final value = 3/8

The percentage change is then calculated as

Percentage change = (Final value - Initial value)/Initial value * 100%

Substitute the known values in the above equation, so, we have the following representation

Percentage change = (3/8 - 5/4)/(5/4) * 100%

Evaluate

Percentage change = -70%

Hence, the percentage change is 70% decrease

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Solve for y in the two equations below using substitution.
3x - 9y = 9
-2x - 2y = 8

Solve for y in the two equations below using substitution. 3x - 9y = 9-2x - 2y = 8

Answers

Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)

Please answer number 27 please

Please answer number 27 please

Answers

Answer:

Example 1:

Given that y varies proportionally with x , with a constant of proportionality k=1/3 , find y when x=12 .

Write the equation of the proportional relationship.

The variable x varies proportionally with y with a constant of proportionality equal to 1/3

So, y=1/3x

Substitute the given x value.

y=1/3×12

y=4

Step-by-step explanation:

hope it helps

Given the size of pizzas in a pizza restaurant is normally distributed. The average size is 9 inches, and standard deviation is 0.8 inches. What is the probability that 4 randomly selected pizza is smaller than 9.5 inches

Answers

The probability that 4 randomly selected pizzas are all smaller than 9.5 inches is approximately 0.284, or 28.4%.

To solve this problem, we first need to standardize the variable using the formula:
z = (x - μ) / σ
where:
x = 9.5 inches (the cutoff for being considered "smaller")
μ = 9 inches (the mean)
σ = 0.8 inches (the standard deviation)
z = (9.5 - 9) / 0.8 = 0.625
Next, we need to find the probability that a randomly selected pizza is smaller than 9.5 inches using a standard normal distribution table or calculator.

This probability can be denoted as P(Z < 0.625), where Z is a standard normal random variable.
The probability that all 4 randomly selected pizzas are smaller than 9.5 inches, we will raise the probability to the power of 4:

Probability = 0.734 ≈ 0.291 So, the probability that 4 randomly selected pizzas are smaller than 9.5 inches is approximately 0.291 or 29.1%.
Using a standard normal distribution table or calculator, we can find that P(Z < 0.625) is approximately 0.734.

This means that the probability of a randomly selected pizza being smaller than 9.5 inches is 0.734.
To find the probability that 4 randomly selected pizzas are all smaller than 9.5 inches, we need to multiply this probability by itself four times, since the selection of each pizza is independent of the others.

This gives:
P(4 pizzas smaller than 9.5 inches) = 0.734 = 0.284
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The probability that 4 randomly selected pizzas are all smaller than 9.5 inches is approximately 0.284, or 28.4%.

To solve this problem, we first need to standardize the variable using the formula:

z = (x - μ) / σ

where:

x = 9.5 inches (the cutoff for being considered "smaller")

μ = 9 inches (the mean)

σ = 0.8 inches (the standard deviation)

z = (9.5 - 9) / 0.8 = 0.625

Next, we need to find the probability that a randomly selected pizza is smaller than 9.5 inches using a standard normal distribution table or calculator.

This probability can be denoted as P(Z < 0.625), where Z is a standard normal random variable.

The probability that all 4 randomly selected pizzas are smaller than 9.5 inches, we will raise the probability to the power of 4:

Probability = 0.734 ≈ 0.291

So, the probability that 4 randomly selected pizzas are smaller than 9.5 inches is approximately 0.291 or 29.1%.

Using a standard normal distribution table or calculator, we can find that P(Z < 0.625) is approximately 0.734.

This means that the probability of a randomly selected pizza being smaller than 9.5 inches is 0.734.

To find the probability that 4 randomly selected pizzas are all smaller than 9.5 inches, we need to multiply this probability by itself four times, since the selection of each pizza is independent of the others.

This gives:

P(4 pizzas smaller than 9.5 inches) = 0.734 = 0.284

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A cell phone company charges $9.50 per month to rent a cell phone and $0.95 per minute. Which of these functions best represents the total bill, f(x), in dollars when talking on it for x minutes in a month?
What the expression?

Answers

The expression is f(x) = $0.95x+$9.50

From the question, we have

A cell phone company charges $9.50 per month to rent a cell phone and $0.95 per minute.

f(x) = $0.95x+$9.50

Addition:

The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.

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If X1, X2, X3 are independent random variables that are uniformly distributed over (0,6), compute the probability that the largest of the three is greater than the sum of the other two.

Answers

To compute the probability that the largest of the three random variables (X1, X2, X3) is greater than the sum of the other two, we can approach it geometrically.

We can think of the region in the (X1, X2, X3) space where the largest variable is greater than the sum of the other two. This region can be visualized as a tetrahedron within the cube defined by the range of each variable (0 to 6).

The volume of this tetrahedron represents the probability we are looking for. Let's calculate it:

The total volume of the cube is \((6-0)^3\) = \(6^3\)

= 216 cubic units.

Now, we need to find the volume of the tetrahedron. Note that the base of the tetrahedron lies on the plane where X1 + X2 + X3 = \(X_{max}\), and its height is \(X_{max}\).

Since X1, X2, and X3 are independent random variables uniformly distributed over (0, 6), the probability of any of them being the maximum is 1/3. Therefore, each of them will be the maximum with probability 1/3.

So, we can calculate the volume of the tetrahedron as follows:

Volume of tetrahedron = (1/3) * (1/3) * (1/3) * (1/2) * (6^3)

                    = 1/54 * 216

                    = 4 cubic units.

Finally, the probability that the largest of the three random variables is greater than the sum of the other two is given by the ratio of the volume of the tetrahedron to the volume of the cube:

Probability = Volume of tetrahedron / Volume of cube

           = 4 / 216

           = 1 / 54.

the probability is 1/54.

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The price of a sweater is
$
25.50
. If it is discounted
20
%
, what is the price of the sweater?

Answers

Answer:

The answer is 5.1 from my calculator but the price should be about 14.62

Step-by-step explanation:

I put it into a calculator

HELP PLS Determine the type of correlation represented in the scatter plot below

HELP PLS Determine the type of correlation represented in the scatter plot below

Answers

Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

How many solutions does this system have?

Y= 3x+2
Y= 3x-6

Answers

Answer:

None

Step-by-step explanation:

They have the same slope so they are parallel and will never intersect.

Answer:

No solutions

Step-by-step explanation:

I just did it on Khan Academy.

Guys please help,ill mark the brainliest

Guys please help,ill mark the brainliest

Answers

Answer:

a. -3

b. 553km

c. 32

d. R 1500 profit (12.5%)

e. 5

Which correlation is most likely a causation?



the positive correlation between the sales of apples and sales of oranges at a farmer’s market

the positive correlation between the number of crimes in a city and the number of cars in the city

the positive correlation between the height of a person and the number of times a person bumps their head on a low ceiling

the positive correlation between the number of socks and number of shoes in a home

Answers

Answer:

The positive correlation between the number of socks and the number of shoes in home

Step-by-step explanation:

Nah i just get an example so that i can get clue,if my answer is wrong sorry in advanced

Problem 3: One solution of the differential equation x 2
y ′′
+xy ′
−y=0 is given by y= x
1

. Determine a second solution to this problem using reduction of order

Answers

The second solution to this differential equation problem is 2 * u' - (5/4) * (u / \(x^{(3/2)}\)) + u'' = 0.

To find a second solution to the given differential equation using the reduction of order method, assume the second solution has the form:

y = u(x) * y₁(x),

where y₁(x) is the known solution, in this case, y₁(x) = \(x^{(1/2)}.\)

Differentiating y with respect to x:

y' = u' * y₁ + u * y₁',

where u' represents the derivative of u(x) with respect to x, and y₁' represents the derivative of y₁(x) with respect to x.

Similarly, differentiating y' with respect to x:

y'' = u'' * y₁ + 2 * u' * y₁' + u * y₁''.

Now substitute these expressions into the original differential equation:

\(x^2 * y'' + x * y' - y = 0.\)

\((x^2 * (u'' * y₁ + 2 * u' * y₁' + u * y₁'') + x * (u' * y₁ + u * y₁') - u * y₁) = 0.\)

Simplifying and collecting like terms:

\(x^2\) * u'' * y₁ + 2 * \(x^2\) * u' * y₁' + x * u' * y₁ + \(x^2\) * u * y₁'' - u * y₁ = 0.

Grouping terms containing u' and y₁' together:

2 * \(x^2\)* u' * y₁' + x * u' * y₁ - u * y₁ + \(x^2\) * u * y₁'' + \(x^2\) * u'' * y₁ = 0.

Since y₁ = \(x^{(1/2)}\), y₁' = (1/2) * \(x^{(-1/2)}\), and y₁'' = (-1/4) *\(x^{(-3/2)}\), substitute these values into the equation:

2 * \(x^2\) * u' * (1/2) *\(x^{(-1/2)}\) + x * u' * \(x^{(1/2)}\) - u * \(x^{(1/2)}\) + \(x^2\)* u * (-1/4) * \(x^{(-3/2) }\)+ \(x^2\) * u'' * \(x^{(1/2)}\) = 0.

Simplifying:

x * u' + x * u' - u * \(x^{(1/2)}\) - (1/4) * u + x * u'' *\(x^{(1/2)}\) = 0.

2 * x * u' - u * \(x^{(1/2)}\) - (1/4) * u +\(x^{(3/2)}\) * u'' = 0.

Now, divide the equation by\(x^{(3/2)}\) to obtain a second-order linear homogeneous equation:

2 * u' - (u / \(x^{(3/2)}\)) - (1/4) * (u /\(x^{(3/2)}\)) + u'' = 0.

Simplifying further:

2 * u' - (5/4) * (u /\(x^{(3/2)}\)) + u'' = 0.

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What is 3.5 x 10-4 in standard form?

Answers

Answer:

The answer is 35000.

Step-by-step explanation:

define at least three (3) sources of experimental uncertainties for the experiments and explain specifically how each would have affected the accuracy of the data.

Answers

By identifying and minimizing these uncertainties, it is possible to improve the accuracy of the data and obtain more reliable results.

Experimental uncertainties refer to the errors or variations that may occur in the process of conducting an experiment. There are several sources of experimental uncertainties that can affect the accuracy of the data, specifically:

1. Instrument uncertainties: These uncertainties arise from the limitations of the instruments used in the experiment. For example, if a measuring device has a limited resolution or if it is not properly calibrated, it can lead to inaccuracies in the measurements.

2. Operator uncertainties: These uncertainties arise from the variations in the way different people conduct the experiment. For example, if different people are measuring the same quantity, they may have different techniques, which can lead to variations in the measurements.

3. Environmental uncertainties: These uncertainties arise from the variations in the environment in which the experiment is conducted. For example, if the temperature or pressure of the environment changes during the experiment, it can affect the measurements.

Each of these sources of experimental uncertainties can affect the accuracy of the data by introducing errors or variations in the measurements. By identifying and minimizing these uncertainties, it is possible to improve the accuracy of the data and obtain more reliable results.

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What is 115 lbs in kg?

Answers

Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

A farmer wants to build a rectangular enclosure. He uses a side of a barn for one side. He has 3000 ft of fencing material. The enclosure is to be partitioned into 3 sections of equal area. Find the dimensions of the largest enclosure the farmer can build.

Answers

The farmer wants to build a rectangular area enclosure using a side of a barn and has 3000 ft of fencing material. The enclosure needs to be partitioned into 3 sections of equal area. We need to find the dimensions of the largest enclosure the farmer can build.

Let's assume the length of the side of the barn that will be used as one side of the enclosure is 'x'. The other two sides of the enclosure will each have a length of 'y'.

To find the dimensions that maximize the enclosed area, we can set up an equation based on the given conditions. The perimeter of the enclosure can be expressed as 2x + 2y, and we know that it should equal 3000 ft:  2x + 2y = 3000.

Since the enclosure is to be partitioned into 3 equal sections, the area of each section should be the total area divided by 3: Area of each section = (xy) / 3.

To maximize the area, we need to maximize xy. From the perimeter equation, we can solve for y in terms of x: y = (3000 - 2x) / 2.

Substituting this value of y into the equation for the area, we have: Area = (x(3000 - 2x)) / 6.

To find the maximum area, we can take the derivative of the area equation with respect to x, set it to zero, and solve for x. After obtaining the value of x, we can substitute it back into the equation to find y. These values will give us the dimensions of the largest enclosure the farmer can build.

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4-> Perpetua has 1,800/= to buy pencils. There are 2 types which prices differ by 40/=. If she boys the cheaper type sho will get 15 more pencils than if she buys the expensive type. What are the prices of the pencils?​

Answers

The price of the two pencils is Rs.100 (expensive) and Rs.60 (cheaper).

Let the price of the expensive pencil be = x

And the price of the cheaper one be = y.

According to the question:

The difference between the price of 2 = 40

Therefore,

x- y =40

Total amount = 1800.

The number of Expensive pencils that can be bought = 1800/x.

The number of Expensive pencils that can be bought = 1800/y.

According to the question,

1800/y -1800/x = 15 (the number of extra pencils)

= (1800x -1800y)/xy = 15

= 1800x -1800y =15xy

= 1800 (x-y) =15xy

Substituting x-y as 40

1800 x 40 =15xy

xy = 4800.

We know that x-y =40

Therefore, x = y+ 40

xy = 4800

(y+40) y = 4800

\(y^{2}\) + 40 y = 4800

Using the quadratic equation formula,

y = 52.111 or y = -92.111

Thus, the cost of the cheaper pencil (y)= Rs. 52.111

The cost of the expensive pencil (x) = 52.111 + 40 = Rs 92.111

Therefore the cost of two pencils is =   Rs. 52.111 and Rs 92.111.

the linear correlation coefficient is always between

Answers

Correlation coefficient formulas are used to find how strong a relationship is between data.

The formulas return a value between -1 and 1, where:

• 1 indicates a strong positive relationship. A correlation coefficient of 1 means that for every positive increase in one variable, there is a positive increase of a fixed proportion in the other.

• -1 indicates a strong negative relationship. A correlation coefficient of -1 means that for every positive increase in one variable, there is a negative decrease of a fixed proportion in the other.

• A result of zero indicates no relationship at all. Zero means that for every increase, there isn’t a positive or negative increase. The two just aren’t related.

Therefore, the correct answer is: The linear correlation coefficient is always between -1 and 1.

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