Which table has a constant of proportionality between yyy and xxx of 0.60.60, point, 6?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
xxx yyy
444 777
666 101010
888 131313

(Choice B)
B
xxx yyy
444 2.42.42, point, 4
999 5.45.45, point, 4
141414 8.48.48, point, 4

(Choice C)
C
xxx yyy
333 222
999 666
151515 101010

Answer:

The Answer is D on Edge

Step-by-step explanation:

Answer:

D is the answer

Step-by-step explanation:

The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.

This can be calculated using a rule of three as follows. Let's start with the yellow fish:

53 = 65

x    = 100

53 x 100 / 65 = 82 yellow fish

Green fish:

12 = 65

x = 100

12 x 100 / 65= 18 green fish

This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.

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Answer:

18

Step-by-step explanation:

\(\frac{6}{1/3} =\frac{6*3}{1} \\=18\)

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

The length of side AB  of this rectangle is 5 units

The cooridnates of the rectangle are given as:

A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4).

The length of side AB is calculated as;

AB = √(x1 - x2)^2 + (y1 - y2)^2

This gives

AB = √(-8 + 3)^2 + (-6 + 6)^2

Evaluate

AB = 5

Hence, the length of side AB  of this rectangle is 5 units

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Complete question

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4).

Given these coordinates, what is the length of side AB of this rectangle?

Answer:

3.5

Step-by-step explanation:

Answer: 3.5

Step-by-step explanation:

The vector form is x - y +z = 0

Standard equation

The standard form of a linear equation is Ax + By=C. To change an equation written in slope-intercept form (y = mx + b) to standard form, you must get the x and y on the same side of the equal sign and the constant on the other side.

The vector form of the equation of the line in that passes through origin and is perpendicular to the plane with general point [1,1,1].

The standard equation is of the form, Ax + By + Cz = 0

The equation of the plane that passes through the origin(0, 0, 0)  and is perpendicular to [1,1,1] is

A = 1, B = 1, C = 1

x = y = z = 0 (at origin)

A(x-0) + B(y-0) + C(z-0) = 0

(x - 0) -1(y-0) + 1(z-0) = 0

x - y +z = 0.

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Step-by-step explanation:

C = root of 7^2 + 4^2

= 8.06

Ans = A

Answer:

6:5

Step-by-step explanation:

GIven data

Number of males population= 96000

Number of females population= 80000

Required

The ratio of male to the female population

We can start by expressing the ratio as a fraction, we have

=96000/80000

Let us further reduce

=96/80

=6/5

Hence the ratio is 6:5

A (3, -.5) B (3, -2.5) C (0, -4) D (0, -2) it dilated by a factor of 2, we will multiply the coordinates by 2 to have A'(7, -10) B (24, 8) C(14, 6) D (12,16)

If the coordinate points A (1, -1.5) B (2, -2.5) C (1, -3.5) is dilated by a factor of 4, the resulting coordinates will be A'(4, -6) B'(8, -10) C'(4, -14)

Dilations is a transformation technique used to enlarge or diminish an image.

Given the coordinate points A (3, -.5) B (3, -2.5) C (0, -4) D (0, -2) it dilated by a factor of 2, we will multiply the coordinates by 2 to have:

A'(7, -10) B (24, 8) C(14, 6) D (12,16)

Similarly if the coordinate points A (1, -1.5) B (2, -2.5) C (1, -3.5) is dilated by a factor of 4, the resulting coordinates will be A'(4, -6) B'(8, -10) C'(4, -14)

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Answer:

x=6

Step-by-step explanation:

BD is bisecting of <B

x/3=8/4    the theorem of  the bisecting

4*x=3*8

4x=24

x=24/4

x=6

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, the value of x is 75°

Answer:

x = 6

Step-by-step explanation:

First, we need to cross multiply on both sides, which gives us:

9 * (5x - 6) = 27 * (2 + x)

45x - 54 = 54 + 27x

Now, we want to isolate x on either side.

We can substract 54 from both sides:

(45x - 54 = 54 + 27x) - 54

45x - 108 = 27x

We then subtract 45 from both sides:

(45x - 108 = 27x) - 45

-108 = -18x

Finally, we divide both sides by -18:

(-108 = -18x) / -18

6 = x

Answer:

1) x = -6, 8

2) x = -1 + i√2

Step-by-step explanation:

1)

\( {x}^{2} - 2x - 48 = 0\)

\((x - 8)(x + 6) = 0\)

x = -6, 8

2)

\(3 {x}^{2} + 2x + 1 = 0\)

x = (-2 + √(2^2 - 4(3)(1))) / (2 × 1)

x = (-2 + √(4-12)) / 2

x = (-2 + √-8) / 2

x = (-2 + 2i√2) / 2

x = -1 + i√2

Answer:

4p

Step-by-step explanation:

The period is basically the difference in x from one "peak" to the other "peak".

The peaks are the highest points of a sinosodial function, and the figure them out, use the formula:

\(|peak_1-peak_2|=period\)

We know the first peak is at about x=0\(\pi\)

We know the second peak is at about x=4\(\pi\)

So plugging this in:

\(|0-4\pi |=4\pi\)

So the period is \(4\pi\)

I am assuming "p" stands for \(\pi\), so the answer should be 4p.

There are other ways to find the period, for instance if you are given a sinusodial function in writing instead of a graph.

Here is an example:

5sin(5x+2)+3

If we want to find period, we need to find what we call "b"

b is the number in front of x, which we can identify as bx, which in this case is 5x above.

Now what do we do with this "b"?

This is the value we need to find our period.

If you know b, you can use this formula to find the period:

\(\frac{2\pi }{b}=p\)

And when we plug in b:

\(\frac{2\pi }{5}\)

=

1.257, which would be your period.

THis can also be reworked so that you can find b:

If the formula for period is \(\frac{2\pi }{b}=p\), then the opposite formula would be \(\frac{2\pi }{ p}=b\)

And when you plug the period you have in:

\(\frac{2\pi }{1.257}\)

=

5

Anyway, your answer is 4p.

Hope this helps!

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

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We may infer from the number line that A and B are separated by 8 units (AB).

Let AB stand for the separation between points A and B, and let AC stand for the separation between points A and C. Let B stand for the separation between points B and C. Hence:

Point B being halfway between A and C, we can infer:

AB + BC Equals AC (Postulated segment addition)

As a result, since the distance between points A and B is equal to 1/3 of AC:

AC/3 = AB = 1/3(AC)

But as shown in the accompanying image:

AC equals 16 – (–8) to 24 units.

Therefore:

AB = 1/24 = 8 unit

A and B are separated by 8 units.

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On the number line, Point B is between points A and C. The distance between points A and B is 1/3 of AC. What is AB?​

Answer:

Step-by-step explanation:

Hello, please consider the following.

We take y different from -5, as dividing by 0 is not allowed and we can compute as below.

\(\dfrac{y^2+3y-10}{3y+15}=\dfrac{(y+5)(y-2)}{3y+15}\\\\=\dfrac{(y+5)(y-2)}{3(y+5)}\\\\\large \boxed{\sf \bf \ \ =\dfrac{y-2}{3} \ \ }\)

Thank you

Answer:

42 folds. This fact is mentioned in search results [1], [2], [3], [4], [5], and [7]. It is also noted in search result [6] that the answer may be 45 folds instead of 42, but this is in the context of a discussion on exponential growth and is not a commonly accepted answer to the question. Finally, search result [10] poses a similar question but provides the same answer of 42 folds to reach the moon.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of n for the given condition "9.5 less than a number n equals 27" is, 36.5

In mathematics, subtraction is an operation which means taking away a few portions of the group or few things from a whole part.

For example, if we take 4 pencils out of 10 then remaining pencils are 6

so this process is called subtraction.

Given that,

A statement,

"9.5 less than a number n equals 27"

To solve for the value of "n",

we can start by subtracting 9.5 from both sides of the equation,

9.5 less than a number n = 27

So, it can be written as,

n - 9.5 = 27

n = 36.5

Hence, the value of "n" is 36.5.

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Answer:

BODMAS RULE

(c-3)²=100

c²-6c+9=100

c²-6c=100-9

c²-6c=91

c²-6c-91=0

then factories

Answer:

5b* because we have no idea what it could stand for

Answer:

5b

Step-by-step explanation:

However many b's there are that's your number so in this case its 5 and then you just add be to it so 5b

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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Answer:

A) Dimensions;

Length = 20 m and width = 10 m

B) A_max = 200 m²

Step-by-step explanation:

Let x and y represent width and length respectively.

He has 40 metres to use and he wants to enclose 3 sides.

Thus;

2x + y = 40 - - - - (eq 1)

Area of a rectangle = length x width

Thus;

A = xy - - - (eq 2)

From equation 1;

Y = 40 - 2x

Plugging this for y in eq 2;

A = x(40 - 2x)

A = 40x - 2x²

The parabola opens downwards and so the x-value of the maximum point is;

x = -b/2a

Thus;

x = -40/2(-2)

x = 10 m

Put 10 for x in eq 1 to get;

2(10) + y = 40

20 + y = 40

y = 40 - 20

y = 20m

Thus, maximum area is;

A_max = 10 × 20

A_max = 200 m²

The area of the pen is the product of its dimensions

The largest area the farmer can enclose is 200 square meters

The perimeter of the pen is given as:

\(\mathbf{P = 40}\)

Because one side of the fence is covered by a river, the perimeter would be:

\(\mathbf{2x + y = 40}\)

Make y the subject

\(\mathbf{y = 40 - 2x}\)

The area of the pen is:

\(\mathbf{A = xy}\)

Substitute \(\mathbf{y = 40 - 2x}\)

\(\mathbf{A = x(40 - 2x)}\)

Expand

\(\mathbf{A = 40x - 2x^2}\)

Differentiate

\(\mathbf{A' = 40 - 4x}\)

Set to 0

\(\mathbf{ 40 - 4x = 0}\)

Rewrite as:

\(\mathbf{ 4x = 40}\)

Divide through by 4

\(\mathbf{x = 10}\)

Substitute 10 for x in \(\mathbf{A = x(40 - 2x)}\)

\(\mathbf{A = 10 \times (40 - 2(10))}\)

\(\mathbf{A = 200}\)

Hence, the largest area the farmer can enclose is 200 square meters

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Answer:

A= 42.5

Step-by-step explanation:

2*5= 10

10/2=5

2*2= 4

4/2=2

5+2+4=11

3.5*9=  31.5

31.5+11=42.5

Sorry if this is wrong if it is wrong please let me know I think I know what I did wrong if it is wrong

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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