Can someone help me with this please?

The length of his rectangular field is 35 metres.

Farmer Fred has a rectangle field. 2 / 5 of the field is planted with carrots and the rest is for cabbages.

Therefore, the width of the field is 13 metres. The length of the field can be found as follows:

area of the carrot section = 182 m²

let

x = area of the field.

Therefore,

2 / 5 x  = 182

cross multiply

2x = 910

x = 910 / 2

x = 455 m²

Therefore,

length of the field = 455 / 13

length of the field = 35 metres.

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The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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This is because the z coordinate is -4. So we move down 4 units on the z axis. The z axis is basically a vertical pole planted in the ground, and the xy plane is the flat floor.

It's a bit tricky to visualize so try to imagine that you're in this 3D space personally.

Or you could imagine that something like z = -4 means you are in basement level 4 of a building (say a parking garage) and something like z = 6 means you're on the 6th floor above the ground.

In this question, we are required to find the distance between the pair of points.

The two points are given as (-3/5,-2) and (-3/5,4/7).

Formula to find the distance between two points (x1,y1) and (x2,y2) is given by:

\[\large d=\sqrt{{{\left( {{x}_{2}}-{{x}_{1}} \right)}^{2}}+{{\left( {{y}_{2}}-{{y}_{1}} \right)}^{2}}}\]

Now, substituting the given coordinates in the above formula,

we get,\[\begin{align}&d

=\sqrt{{{\left( -\frac{3}{5}-\left( -\frac{3}{5} \right) \right)}^{2}}+{{\left( \frac{4}{7}-\left( -2 \right) \right)}^{2}}} \\&d

=\sqrt{{{0}^{2}}+{{\left( \frac{18}{7} \right)}^{2}}} \\&d

=\sqrt{\frac{324}{49}}\end{align}\]

Therefore, the distance between the pair of points is 18/7 which is a rational number.

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Answer:

Check Explanation and the third attached image to this solution for the summary of regression analysis.

Step-by-step explanation:

The data for the question is missing. It was obtained online and is presented in the first and second attached images to this solution.

The regression analysis is then done with Excel and the results posted in the third attached image to this solution.

The residuals too are with the results.

Hope this Helps!!!

Answer: 16m²

Step-by-step explanation:

A large rectangle has side lengths of 8 meters and 6 meters. This means that the area of the large rectangle will be:

= 8m × 6m

= 48m²

A smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle. Then, the area of the smaller rectangle will be:

= 4m × 2m

= 8m²

Since the smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle whose length is 8, meters and 6 meters, the remaining part of the rectangle will have length of (8m - 4m) = 4m and (6m - 2m) = 4m.

Area of the remaining part of the large rectangle will be:

= 4m × 4m

= 16m²

Answer:

2pi

Step-by-step explanation:

Since the central angle is 360°, the arc in question here is the whole entire circle. It is the circumference. The circumference of a circle is:

C = pi•d

The radius is 1 unit. So the diameter is 2 units.

C = pi•2

C = 2pi

360° is the whole circle, so the arc is the whole circle. It is the circumference, 2pi

By comparison test, the given series converges.So the given series converges.

Given the series, `[infinity] (6n+1)/(n^5+n)`

To test for convergence or divergence, we can use either of the following tests:

Comparison TestRatio TestLimit Comparison TestIntegral TestLet's use the Comparison Test:

To apply the comparison test, we need to find a series that we know converges or diverges and which is greater or less than the given series.

Since the series has `n` in the denominator, we will compare it with another series that has `n` in the denominator. We know that the series below diverges:

`[infinity] 1/n`Hence, we can compare the given series with the diverging series above:`

(6n+1)/(n^5+n) < 1/n`

Now we have:`

(6n+1)/(n^5+n) < 1/n`

Cross multiply to get:

`n(6n+1) > n^5 + n`Simplify:`6n^2 + n > n^5`Since `n^5` is much greater than `6n^2 + n` for large values of `n`, we can say:

`(6n+1)/(n^5+n) < 1/n < (6n+1)/(n^5+n)

`Hence, by comparison test, the given series converges.So the given series converges.

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Based on the information on the graph, it can be inferred that the correct equation is y = 0.8x - 0.3, because if we replace the value of x with the different values shown on the graph, the position of the point coincides.

To identify the correct equation we must analyze the information in the graph. Once we analyze this information we can find the correct equation.

However, one way to check which is the correct equation is by substituting the value of x in all the equations until you find the one that gives a result with the correct values. According to this procedure, the correct option would be option B, as shown below:

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Those numbers are x=55 and y= 15.

---------

1) Gathering the data

x-y=40

4y=x+5

2) Rewriting the system, and then solving it

x-y=40 ⇒x=40+y

4y=x+5

Applying substitution in the 2nd equation

4y=(40+y)+5

4y =40+y+5 Subtracting y from both sides

4y-y= 40+y-y +5

3y=40+5

3y= 45 Dividing by 3

y=15

Replacing in the first equation

x-15=40 Adding 15 to both sides

x-15+15=40+15

x=55

3) Those numbers are x=55 and y= 15.

Answer:

5 5/8

Step-by-step explanation:

4 1/2 * 1 1/4

First, turn both fractions into improper fractions.

Like this: 4 1/2 becomes 9/2 and 1 1/4 becomes 5/4

Next, mutiply both numbers.

Like this: 9/2 * 5/4 = 45/8

Last, simplify as much as you can.

Like this: the answer would be 5 5/8 because although 45 and 8 don't divide to equal a whole number, 40 and 8 can divide to 5. the rest left over is 5. So, the answer is 5 5/8

According to the rules of significant figures:



1.25 × 200 = 300

the answer is

TRue

The age of Barbra is 22 years.

The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.

Now, according to the question.

Let 'a' be the age of Alice.

Let 'b' be the age of Barbra

Let 'c' be the age of Carol.

The sum of age of all three sisters is 68 years.

Thus,  a + b + c = 68

Now, as Alice is three years younger than Barbra.

a = b - 3

and, Barbra is 5 years younger than Carol.

b = c - 5

c = b + 5

By substitution of values of a and c in total age.

(b - 3) + b + (b + 5) = 68

3b - 3 + 5 = 68

On solving the expression.

b = 22

Therefore, the age of Barbra is 22 years.

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the values of the variable are simply labels or categories without any inherent order or ranking.

The scale of measurement that is used to rank order the observations for a variable is called the ordinal scale.

In the ordinal scale, the values of the variable can be ranked or ordered, but the differences between the values may not be meaningful or consistent. For example, we can rank the finishes of runners in a race from 1st to 10th place, but we cannot necessarily say that the difference between 1st and 2nd place is the same as the difference between 5th and 6th place.

In contrast, in the interval scale and the ratio scale, the differences between the values are consistent and meaningful. In the nominal scale, the values of the variable are simply labels or categories without any inherent order or ranking.

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The function g in vertex form is g (x) = –5x^2 – 3.

In this case, the parent function is:

f (x) = x^2

First, after the reflection across the x-axis, we will get:

f (x) = –f (x)

And, the function will be:

g (x) = –x^2

Then, vertically stretched by a factor of 5, we will get:

g (x) = –5x^2

Last, translated 3 units down, we will get:

g (x) = –5x^2 – 3

Thus, the vertex form of the function g will be:

g (x) = –5x^2 – 3

In mathematics, a translation is a transformation which occurs when a figure is moved from one location to another location without changing its size or shape.

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Answer:

6x + 6y + 2

Step-by-step explanation:

Combine like terms-

5x and x

6x + 6y + 2

Answer:

415

Step-by-step explanation:

Answer:

Here ia your answer

Hope it helps

Answer:

see explanation

Step-by-step explanation:

(a)

\(\frac{5}{a}\) + \(\frac{3}{b}\) + \(\frac{7}{c}\) = 0 ( multiply through by abc to clear the fractions )

5bc + 3ac + 7ab = 0 ( subtract 5bc from both sides )

3ac + 7ab = - 5bc ( factor a out of each term on the left side )

a(3c + 7b) = - 5bc ← divide both sides by (3c + 7b)

a = - \(\frac{5bc}{3c+7b}\)

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

(b)

p = \(\frac{\sqrt{4r(q^2-s)} }{q}\) ( multiply both sides by q )

pq = \(\sqrt{4r(q^2-s)}\) ← square both sides

(pq)² = 4r(q² - s) ← distribute

p²q² = 4rq² - 4rs ← subtract 4rq² from both sides

p²q² - 4rq² = - 4rs ( multiply through by - 1 )

4rq² - p²q² = 4rs ← factor out q² from each term on the left side

q²(4r - p²) = 4rs ← divide both sides by (4r - p²)

q² = \(\frac{4rs}{4r-p^2}\) ( take the square root of both sides )

q = ± \(\sqrt{\frac{4rs}{4r-p^2} }\)

Answer:

X = -5

Step-by-step explanation:

The sale price of the reusable water bottle is $18.

Algebra is a branch of mathematics that deals with the study of symbols and the rules for manipulating these symbols. It is a broad area that includes various subfields such as elementary algebra, abstract algebra, and linear algebra, among others.

In elementary algebra, the focus is on the basic rules and operations involving variables, numbers, and equations. These concepts are used to solve problems in a wide range of fields, such as science, engineering, and finance. Abstract algebra, on the other hand, deals with the study of algebraic structures such as groups, rings, and fields. Linear algebra is the study of vector spaces and linear transformations, and is used extensively in fields such as computer science, physics, and engineering.

The discount on the reusable water bottles is 10%, which means that the customer pays only 90% of the regular price. To find the sale price, we can multiply the regular price by 90% or 0.9.

Sale price = Regular price x (1 - Discount rate)

Sale price = $20 x (1 - 0.1)

Sale price = $20 x 0.9

Sale price = $18

Therefore, the sale price of the reusable water bottle is $18.

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Answer:

_3x>+31 but I am not sure

Step-by-step explanation:

-5x<-2x+8+23

-3x>+31

Answer:

x > -5

Step-by-step explanation:

1.) Add +5x on both sides

-5x + 8 < - 2x + 23

+5x         +5x      

8    <    3x + 23

2.) Subtract 23 from both sides

8    <    3x + 23

-23            -23

-15  <  3x

3.) Divide by 3 on both sides

-15 <  3x

 3        3

-5 < x

Because you divided by a negative, the sign flips

-5 > x

Answer:

A

Step-by-step explanation:

espero que mi respuesta ayude

hope my answer helps

The value of the correlation coefficient based on the provided R-squared is approximately 0.995562, indicating a strong positive linear relationship between leaf water potential and sap flow velocity for tree #2.

The correlation coefficient, denoted as "r," is a measure of the strength and direction of the linear relationship between two variables.

It ranges between -1 and 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

In the given least squares regression output, the value of R-squared (R-sq) is provided as 0.99115489.

R-squared represents the proportion of the total variation in the dependent variable that can be explained by the independent variable(s).

It is calculated as the squared value of the correlation coefficient (r).

To find the value of the correlation coefficient based on R-squared, we take the square root of R-squared:

r = √(R-sq)

Using the given value of R-squared (0.99115489), we can calculate the correlation coefficient:

r = √(0.99115489) ≈ 0.995562

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Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

To solve the equation 15 + 2x = 36, we can start by subtracting 15 from both sides of the equation to get 2x = 21. Then, we can divide both sides by 2 to get x = 10.5. Rounded to the nearest ten-thousandth, the solution is x = 10.5000.

Step 1

The slope(m) is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line.

From the question we will have;

The option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.

The ratio among comparable dimensions of an object and a model with that object, known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

As we can see in the table, data is given, we can plot it in the graph by using the scale factor.

On the x-axis, scale: 1 unit = 1 week

On the y-axis, scale: 1 unit = 150 minutes

On the y-axis, 2 units = 300 minutes

On the y-axis, 3 units = 450 minutes

Thus, the option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.

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Answer:

Step-by-step explanation:

Its easy if you think about it, the median is the middle number of the equation so you line the numbers up in order- least to greatest.

1,1,1,1,1,1,2,2,2,2,2,3,4,4,4.

Cross out the numbers until you hit one middle number!
Median is 2.

Answer:

14 miles

Step-by-step explanation: