50 cm
1.5
Path
Vegetables
50 cm
50 cm
2
5.5m
This plan shows a vegetable garden.
The width of the path is 50 cm throughout.
4.5m

Answer:

Find another point on the perpendicular line.

Step-by-step explanation:

Given an original line "m", and a point off the line "Q", in order to construct a second line "p", meant to be perpendicular to "m" through the point "Q", fundamentally, the only truly necessary step to construct a perpendicular line through is to find another point on the yet-to-be-found perpendicular line.

Most often, this is accomplished by exploiting the fact that "p" is the set of all points that are equidistant from any pair of points that are symmetric about "p".

Since the symmetry must be about "p", and we don't even know where "p" is, one often finds two points on "m" that are equidistant from "Q".

This can be accomplished by adjusting a compass to a fixed radius (larger than the distance from "Q" to "m"), and making an arc that intersects "m" in two places.  Those two places will be equidistant from "Q", and are simultaneously on line "m".  Thus, these two points, "A" & "B" are symmetric about "p".

Since "A" & "B" are symmetric about "p", they are equidistant from "p", and are on "m".  One could try to find the point of intersection between "p" and "m" through construction, but this is unnecessary.  We need only find a second point (besides "Q") that is equidistant from "A" & "B", which will necessarily be a point on "p", to form the line perpendicular to "m".

To do this, fix the compass with any radius, and from "A" make a large arc generally in the direction of "B", and make the same radius arc from "B" in the direction of "A" such that the two arcs intersect at some point that isn't "Q".  This point of intersection we can call point "T", and the line QT is line "p", the line perpendicular to the original line, necessarily containing "Q".

The probability that a random alcoholic can kick the habit without professional help is 0.273 .

Probability is the study of likeliness of an event to happen.

It has a range of 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that

The alcoholics that need professional help to stop drinking is 72.7 %

Therefore the probability of this is 72.7 /100 = 0.727

The probability that they will not need professional help is given by

q = 1 - p

q = 1 -0.727

q = 0.273

Therefore the probability that a random alcoholic can kick the habit without professional help is 0.273 .

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Answer: Choice C

As [tex]\text{x} \to \infty[/tex] then [tex]\text{y} \to -\infty[/tex]

As [tex]\text{x} \to -\infty[/tex] then [tex]\text{y} \to \infty[/tex]

Check out the diagram below.

========================================================

Explanation:

The leading term is the term with the largest exponent. That would be the term of [tex]-\text{x}^3[/tex]. The leading term directly determines the end behavior. The other terms will not play a role.

What this means is that the end behavior of [tex]\text{y} = -\text{x}^3 - \text{ax} + 3[/tex] is the exact same as the end behavior of [tex]\text{y} = -\text{x}^3[/tex]

As x gets really big in the positive direction, we'll have [tex]-\text{x}^3[/tex] get really small in the negative direction. For instance, x = 10 leads to [tex]-\text{x}^3 = -10^3 = -1000[/tex] and x = 100 leads to [tex]-\text{x}^3 = -100^3 = -1,000,000[/tex]

Therefore, as [tex]\text{x} \to \infty[/tex] then [tex]\text{y} \to -\infty[/tex]

Visually the graph goes forever downward when we move to the right. We can consider this as "falls to the right".

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

The graph "rises to the left" because as [tex]\text{x} \to -\infty[/tex] then [tex]\text{y} \to \infty[/tex]

Here's a small table to give numeric examples:

[tex]\begin{array}{|c|c|} \cline{1-2}x & y\\\cline{1-2}-1 & 1\\\cline{1-2}-10 & 1000\\\cline{1-2}-100 & 1,000,000\\\cline{1-2}\end{array}[/tex]

As x gets more negative, y becomes more positive. We have this opposite nature going on similar to the previous section.

This graph goes uphill when moving to the left.

Check out the graph below. In the diagram I used a = 2, but you could use any value of 'a' you want to get the same end behavior.

Answer:

49 + 28 = 7(7 + 4)

Step-by-step explanation:

49 bags of soil one week

28 bags of soil the next week

49 + 28 bags of soil purchased in total

Find the GCF (Greatest Common Factor) of 49 and 28.

49/7 = 7

28/7 = 4 (GCF is 7 since it is the largest number that can divide both 49 and 28 equally)

Factor out the GCF + rewrite division above (optional for visualization)

49/7 = 7 -> 49 = 7 * 7

28/7 = 4 -> 28 = 7 * 4

49 + 28 = 7(7 + 4)

Let me know if you have any questions!

Answer:

(24 + 3√3) / 16.

Step-by-step explanation:

Tan 60° + Cos 30° sin 60° + Cot 30 /  csc 30 sec 30

= √3 + √3/2 * √3/2 + √3 /   2 * 2/√3

= 2√3 + 3/4 / 4/√3

= (8√3 + 3)/ 4 / √3

= 24 + 3√3 / 16

On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos, 149.23 pesos was worth 7.61 dollars and 63.64 dollars was worth 1247.98 pesos

An equation is an expression that shows the relationship between two or more numbers and variables.

One U.S. dollar = 19.61 Mexican pesos

a) 149.23 pesos = 149.23 pesos * One U.S. dollar per 19.61 Mexican pesos = 7.61 dollars

b) 63.64 dollars = 63.64 dollars *  19.61 Mexican pesos per dollar = 1247.98 pesos

On March 8, 2017, one U.S. dollar was worth 19.61 Mexican pesos, 149.23 pesos was worth 7.61 dollars and 63.64 dollars was worth 1247.98 pesos

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Answer:

70%

$571.41

Step-by-step explanation:

100% means 1, or a whole thing.

Since the discount is 30% of the original price, and the original price is 100% of the original price, then

100% - 30% = 70%

With a 30% discount, you actually pay 70% of the original price.

$399.99 is 70% of the original price.

399.99 / 70% = x / 100%

70x = 100 × 399.99

x = 571.41

The original price was $571.41.

Answer:

D

Step-by-step explanation:

the cordinate is at (-3,2)

Answer:

[tex] \frac{1}{4} [/tex]

Step-by-step explanation:

To find the gradient of the graph, we use the formula,

[tex]gradient \: (m) = \frac{(y2 - y1)}{(x2 - x1)} [/tex]

From the graph, we obtain values for x and y

x1 = 4, x2 = 8

y1 = 2, y2 = 3

Substitute the values into our formula.

[tex]m \: = \frac{(3 - 2)}{(8 - 4)} \\ = \frac{1}{4} [/tex]

Therefore, the gradient, m, =

[tex] \frac{1}{4} [/tex]

Note:-

Answer: QN=19

Step-by-step explanation:

Diagonals of an isosceles trapezoid are congruent, so NQ=PM.

By the segment addition postulate, NQ=QR+RN=3x+7.

So,

[tex]6x-5=3x+7\\\\3x-5=7\\3x=12\\\\x=4[/tex]

So, [tex]QN=3(4)+7=\boxed{19}[/tex]

Answer:

The slope of the line passing through the points (−3, −5) and (−1, −6) is [tex]-\frac{ 1 }{ 2 }[/tex] (-0.5)

Step-by-step explanation:

Equation of a straight line:

y = mx + b where m is the slope and b is the y-intercept

(x1, x2) and (y1, y2) : (−3, −5) and (−1, −6)

Calculating Slope (m).

m = [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

m = [tex]\frac{ (-6) - (-5) }{ (-1) - (-3) }[/tex]

m = [tex]\frac{ -6 + 5 }{ -1 + 3 }[/tex]

m = [tex]-\frac{ 1 }{ 2 }[/tex]

we can take this a step further by finding the equation:

Now putting value of m in equation (i)

y = -0.5x + b

Calculating Y-intercept (b).

Lets choose the first point, (-3,-5) for calculating y-intercept:

y = mx + b

-5 = -0.5(-3) + b

-5 = 1.5 + b

-6.5 = b

b = -6.5

Now putting value of b in equation

y = -0.5x + -6.5

Answer:

-1/2

Step-by-step explanation:

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

m=(-6-(-5))/(-1-(-3))

m=(-6+5)/(-1+3)

m=-1/2

Answer: There is no mode.

Step-by-step explanation:

The mode is the number that appears the most in a given set of data. Each number in this data set is repeated twice. Therefore, there is no mode.

I hope this helped!! :)

Answer:

1, 2, 3, 4

or none

Step-by-step explanation:

Mode is the value or values in the data set that occurs most frequently.

example:

For the data set 1, 1, 2, 5, 6, 6, 9 the mode is 1 and also 6.

in 1, 1, 2, 2, 3, 3, 4, 4 all numbers occur the same amount of times, therefore they all (or none) are the mode

hope this helps:)

Answer:792

Step-by-step explanation:

Answer:

[tex]\fbox {3(4a + 2) = 12a + 6}[/tex]

Step-by-step explanation:

⇒ 3(4a + 2)

⇒ 3(4a) + 3(2)

⇒ 12a + 6

Answer:

A) 3(4a + 2) = 12a + 6

Step-by-step explanation:

This is the correct answer because the distributive property is where you break up all the numbers and pretty much that is what you do in A.

3 * 4a = 12a

3 * 2 = 6

So then, as you can see, the answer would be 12a + 6.

This is another explanation, even though they are LITERALLY the same.

Apply the distributive property.

3 (4a) + 3 ⋅ 2

Multiply 4 by 3.

12a + 3 ⋅ 2

Multiply 3 by 2.

12a + 6

Brainliest pls

Therefore, we can write it as f(x) ≥ 0 over the interval [-1,1].

The given coordinates of the given table are (-3,15), (-2,-5), (-1,0), (0,5), and (1,0).

We need to write a valid prediction about the continuous function f(x).

In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.

Now, it is clear from the values of f(x) with respect to x, that the function reaches zero at x = -1, then goes up to 5 at x = 0 and then again reaches zero at x = 1.

So, the value of f(x) remains positive within the interval of [-1,1].

Therefore, we can write it as f(x) ≥ 0 over the interval [-1,1].

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The solution of the given equation 4(3x - 4) - 7( 2x + 3) = 3 is -20.

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

The given equation is;

4(3x - 4) - 7( 2x + 3) = 3

To solve;

4(3x - 4) - 7( 2x + 3) = 3

Solve the parentheses using the distributive property;

12x - 16 - 14x - 21 = 3

we need to get the like terms together;

12x - 14x -16 - 21 = 3

-2x - 37 = 3

Add 37 both sides, we get;

-2x = 40

Divide both sides by -2

x = -20

Hence, the solution of the given equation is -20.

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The allowable weights are 30 lbs and 40 lbs if the weight of the bag is 35 lbs option (d) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

Henry is working in a packed room. He is filling a bag with dry seasoning. The net weight of the bag is stated as 35

lbs. His tolerance is +/-5 lbs.

Weight of the bag = 35 lbs

Tolerance = ± 5 lbs

Allowable weights = 35 ± 5

= 35 + 5 = 40 lbs

= 35 - 5 = 30 lbs

Thus, the allowable weights are 30 lbs and 40 lbs if the weight of the bag is 35 lbs option (d) is correct.

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Answer:

Using the formula of geometric progression, we get 5.3333333. After rounding off to the nearest hundredth or to the two digit place after the decimal, we get 5.33.

Step-by-step explanation:

Concept: Given expression means that [tex]4(\frac{1}{4} )^{n-1}[/tex] is a series that starts from n = 1 and ends at n = 10. Or we can say that the given expression is a summation from n = 1 to n = 10. This will make a geometric progression. Use the formula of geometric progression to find the answer.

[tex]4(\frac{1}{4})^{0} + 4(\frac{1}{4})^{1} + 4(\frac{1}{4})^{2} +...+ 4(\frac{1}{4})^{10}\\4\frac{-(\frac{1}{4} )^{11} +1}{-\frac{1}{4} +1} \\4\frac{1}{\frac{3}{4} } \\\frac{16}{3} \\5.33333333\\[/tex]

Now, we want the answer to the nearest hundredth. This means that the answer should have two digits after the point.

The answer, to the nearest hundredth is 5.3333333

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For different function different results are shown below.

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.

We have been given a graph of piecewise function. Using that we have to select the function from given choices which is represented by graph.

g(x) = −2x, −2 < x < 0

Answer:

NO. Because g(x) = −2x has negative slope so that means it goes downward also there is no y-intercept in g(x) = −2x but the only graph that has y-intercept in given graph goes upward so that can't be answer.

g(x) = −2, x < −2

Answer:

YES. Because g(x) = −2 is a horizontal line which is only on the left side of x=-2. Graph of this part is present in given graph. So yes it is answer.

g(x) = x − 2, −2 < x < 1

Answer:

NO. Because g(x) = x−2 has y-intercept at y=-2 and slope 1 so that means graph of g(x)= x-2 must be going upward and crossing at y=-2 but there is no such graph. Hence this can't be answer.

g(x) = −2x + 6, x ≥ 1

Answer:

YES. Because g(x) = −2x+6 satisfies the graph which is going downward.

g(x) = x/2+ 1, –2 ≤ x < 1

Answer:

YES. Because g(x) = x/2+ 1 satisfies the graph which is going downward.

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Answer: i think this is the answer sorry if i am wrong.

g(x) = −2, x < −2,

g(x) = −2x + 6, x ≥ 1,

g(x) = x/2  + 1, –2 ≤ x < 1

Step-by-step explanation:

Here is the graph

Step-by-step explanation:

3x - 2 is formatted in the formula y = mx + c

To substitute for 3x - 2

y = 3x -2

Answer:

Step-by-step explanation:

[tex]9~km/h=\frac{9 \times ~1000}{1 \times 60 \times 60}=\frac{5}{2} m/s}[/tex]

Using the binomial distribution, it is found that the probabilities are:

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

Exercise 1:

The parameters are:

n = 15, p = 0.4, x = 4.

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{15,4}.(0.4)^{4}.(0.6)^{11} = 0.1228[/tex]

Exercise 2:

The parameters are:

n = 12, p = 0.2, x = 2.

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{12,2}.(0.2)^{2}.(0.8)^{10} = 0.2835[/tex]

Exercise 3:

The parameters are:

n = 20, p = 0.05.

The probability is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Using the binomial formula for each value and adding them:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9841[/tex]

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Answer:

the answer is a.

Step-by-step explanation:

Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the regular octagon is 8√58 units.

Perimeter is the sum of the length of the sides used to make the given figure.

For a regular octagon, the length of each side of the octagon is the same. Therefore, the length of a single side of the octagon is,

Length of the side of the octagon = √[(-4-3)² + (0 + 3)²] = √58

Now, the perimeter of the octagon is 8 times of√58.

Perimeter = 8 ×√58 = 8√58

Hence, the perimeter of the regular octagon is 8√58 units.

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Marlon's weight is 39.3 pounds with a mean weight of 40 pounds and a standard deviation of 1.3 pounds.

We know that the formula for calculating a z-score is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Given that mean weight = 40 pounds.

and standard deviation = 1.3 pounds.

Also given that Marlon is heavier than 30% of boys his age on average, according to measurements.

The z value of 30% is -0.524.

We can put this value in the formula.

-0.524 = (x - 40)/1.3

i.e. (-0.524) * 1.3 = x - 40

i.e. - 0.6812 = x - 40

i.e. x =  40 - 0.6812 = 39.3188

Therefore, we can conclude that Marlon's weight is 39.3 pounds with a mean weight of 40 pounds and a standard deviation of 1.3 pounds. So, the last option is correct.

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Answer:

Two points this line can pass through (1, 4/3) and (2, 8/3)

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

          b represents the y-intercept

where the format of a point is (x, y)

Given:

we can plug in a number for x to find y

when x = 0,

y = 4/3(0)

y = 0

point: (0,0)

when x = 1,

y = 4/3(1)

y = 4/3

point: (1, 4/3)

when x = 2,

y = 4/3(2)

y = 8/3

point: (2, 8/3)

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Answer:

x/ 3x + 2

x approach 1

1/3 (1) + 2

1/ 5.

-6 ≤ x < -2

Step-by-step explanation:

[ => this shows ≤ sign

) => this shows < sign

Answer:

What is Poly in gender. Gender is Gender "Female" "Non-binary" "Male". Poly is Triangle gender which means random gender.

Answer: Explanation: To find the degree of the polynomial, add up the exponents of each term and select the highest sum.

Step-by-step explanation: