In which figure is the dashed line a line of symmetry?

An equation of the plane through the point (-1, -5, 1) and perpendicular to the vector (5, 4, 2) can be -4x + 5y - 2z = 11.

First, the normal vector of the plane must be determined. The vector perpendicular to the given vector (5, 4, 2) is (-4, 5, -2).

Now, the equation of the plane can be determined using the given point and the normal vector. The standard form of the equation of a plane is Ax + By + Cz = D.

We can use the point (-1, -5, 1) and the normal vector (-4, 5, -2) to calculate the values of A, B, C, and D in the equation. To do this, we can use the point-normal form of the equation of a plane.

The point-normal form is (x - x1) × nx + (y - y1) × ny + (z - z1) × nz = 0. We can plug in the point and normal vector values into this equation to calculate A, B, C, and D.

Therefore, the equation of the plane is -4x + 5y - 2z = 11.

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Answer:

option A

Step-by-step explanation:

Option A is 1,050 in total

option B is 1,400 in total

option C is 1,100 in total

that's my go at it

Answer:

36 is 21 so it r to the f

Step-by-step explanation:

Answer:

11%

Step-by-step explanation:

0.11*100=11%

necause 1%=1/100

Answer:

Step-by-step explanation:

2y+8x=0

Converting to y-intercept form:

2y = -8x

y = -4x

So, the slope is -4 and the y-intercept is at (0,0).

Answer:

1) Qs= 24.4 cm

2) Perimeter= 72.8 m

Step-by-step explanation:

1).let qs= qos

Op is the height of the the triangle

Op= ,6.8cm

Angle ops = 180-(90+50)

Angle ops = 180-140

Angle ops = 40

Os/sin ops= op/sin pso

Os/sin 40= 6.8/sin 50

Os = sin 40(6.8)/sin50

Os= 0.6428(6.8)/0.7660

Os= 5.71

Angle oqp = 180-(90+70)

Angle oqp = 180-160.

Angle oqp = 20

Oq/sin qpo = op/sin oqp

Oq/sin 70=6.8/sin 20

Oq= sin70(6.8)/sin20

Oq= 0.9397(6.8)/0.3420

Oq= 18.68

Qs= os +oq

Qs= 5.71+18.68

Qs= 24.39

Qs= 24.4 cm

2). The other angle of the triangle

=180-90-53

= 37

Sin90 = 1

Let the length and breadth be x and y

X /sin 53 = 26

X= 26(sin53)

X= 26(0.7986)

X= 20.7636

Y/sin 37 = 26

Y= 26(0.6018)

Y= 15.6468

Perimeter= 2(x+y).

Perimeter= 2( 20.7636+15.6468)

Perimeter= 2(36.4104)

Perimeter= 72.8208 m

Perimeter= 72.8 m

To find the ratio of red flowers to those not red or yellow, subtract 7 from 16 to find 9 non-red flowers. Then, divide by 5 to find the ratio.So, the ratio of red flowers to those neither red nor yellow is 5:9

To find the ratio of red flowers to those that are neither red nor yellow, we need to subtract the number of yellow flowers from the total number of flowers.

First, let's find the number of flowers that are neither red nor yellow. Since there are 16 flowers in total, and 7 of them are yellow, we subtract 7 from 16 to find that there are 9 flowers that are neither red nor yellow.

Next, we can find the ratio of red flowers to those neither red nor yellow. Since there are 5 red flowers, the ratio of red flowers to those neither red nor yellow is 5:9.

So, the ratio of red flowers to those neither red nor yellow is 5:9.

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There were 10 different combinations to the multiple choice questions.

Combination is defined as “An arrangement of objects where the order in which the objects are selected does not matter.” The combination means “Selection of things”, where the order of things has no importance.

It is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

\(C_{n,r} = \frac{n!}{(n-r)! r!}\)

where n = 5

r = 3

\(C_{5,3} = \frac{5!}{(5-3)!3!} \\= \frac{5!}{2!3!}\)

= \(\frac{5(4)(3!)}{2!3!}\)

= 20/2

= 10 ways

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The minimum sample size required for the estimate, considering the z-distribution, is given as follows:

560.

The bounds of the confidence interval are given by the rule presented as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The margin of error is modeled as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

The parameters for this problem are given as follows:

\(M = 0.16, \sigma = \sqrt{5.29} = 2.3, z = 1.645\)

Hence the sample size is obtained as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(0.16 = 1.645\frac{2.3}{\sqrt{n}}\)

\(0.16\sqrt{n} = 1.645 \times 2.3\)

\(\sqrt{n} = \frac{1.645 \times 2.3}{0.16}\)

\((\sqrt{n})^2 = \left(\frac{1.645 \times 2.3}{0.16}\right)\)

n = 560. (rounded up).

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According to question, f(x-2) = -5(x-2)²
we get function, f(x-2) = -5(x²-4x+4)

To evaluate f(x-2) when f(x) = -5x², we need to replace the x in f(x) with the expression (x-2). This means that we'll substitute (x-2) into the given function wherever there's an x.

Calculation steps:
1. Start with the function f(x) = -5x²
2. Replace x with (x-2), so we have f(x-2) = -5(x-2)²
3. Now, we'll expand the square term: (x-2)² = x² - 4x + 4
4. Replace the square term in the expression: f(x-2) = -5(x² - 4x + 4)
5. Distribute the -5 to each term inside the parentheses: -5 * x² + (-5 * -4x) + (-5 * 4)
6. Simplify the expression: f(x-2) = -5x² + 20x - 20

So, the simplified answer is f(x-2) = -5x² + 20x - 20.

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Answer:

No, it cannot be correct.

Step-by-step explanation:

1/5 of 24 is 4.8.

This would mean that Mary would have identified 4.8 animals.

This is logically incorrect, because the number of animals has to be a full number. There cannot be any decimals, or parts of animals.

So, this cannot be correct.

Answer: Part A is (-9, 13) Part B is (9, 13)

Step-by-step explanation:

The fourth quintile based on the given sample observations is approximately 15.5.

To find the fourth quintile, we first need to arrange the sample observations in ascending order:

-31, 9, 13, 18, 24

The fourth quintile represents the value below which 80% of the data falls. Since we have 5 data points, the fourth quintile is located at the 80th percentile, which can be calculated as:

80th percentile = (80/100) * (n + 1) = (80/100) * (5 + 1) = 4.8

Since the 80th percentile falls between the fourth and fifth observations, we can estimate the fourth quintile by taking the average of these two values:

Fourth quintile ≈ (13 + 18) / 2 = 15.5

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Answer:

\(3m ( 9m - 16 )\)

Step-by-step explanation:

- both numbers are divisible by 3m therefore

\(3m ( 9m - 16 )\)

Answer:

C

Step-by-step explanation:

Im going to be quick on this since your in a hurry, is AB is 3 and QR = 1  and their similar then BC would be 3 times the amount of RS which is 1.5 so the Answer is 4.5

Answer:

C

Step-by-step explanation:

　　＿＿＿　 AA

*～/■　■　⊂ P

　 |　■　■.（＿）

　 U U￣￣U U

Step-by-step explanation:

Different Types of Indexes in SQL Server

Answer:

8 possible outcomes

Step-by-step explanation:

When flipping a quarter three times, each flip can result in two possible outcomes: either landing heads (H) or tails (T).

Since each flip is independent, the total number of possible outcomes for flipping a quarter three times can be found by multiplying the number of outcomes for each flip together.

For three flips, the total number of possible outcomes is:

2 x 2 x 2 = 8

So, there are 8 possible outcomes when Alexandre flips a quarter three times.

Answer:

Shea:   \(1.5x\)

James:  \(9.5x + 4.5y\)

Patricia:    \(\dfrac13a\)

Linda:   \(w - 9\)

Nicole:   \(r - 3\)

Step-by-step explanation:

Shea:   \(1.5x\)

James:  \(9.5x + 4.5y\)

Patricia:    \(\dfrac13a\)

Linda:   \(w - 9\)

Nicole:   \(r - 3\)

The calculated value of k is 1/2 and the 5th term​ is -20

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

8k+4,6k-2&2k-7 will form an A.P

The common difference is the difference between successive terms

So, we have

8k + 4 - 6k + 2 = 6k - 2 - 2k + 7

Evaluate

So, we have

2k + 6 = 4k + 5

So, we have

2k = 1

This gives

k = 1/2

So, we have

8 * 1/2 + 4, 6 * 1/2 - 2, 2 * 1/2 - 7

Evaluate

8, 1, -6

When extended, we have

8, 1, -6, -13, -20

Hence, the value of k is 1/2 and the 5th term​ is -20

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A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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The exponential function is an exponential decay.

A general exponential function can be written as:

y = A*(b)^x

Where A is the initial value and b is the base.

Here the exponential equation is:

y = 10*(2/3)^x

Notice that the base is:

b = 2/3 = 0.66

This is smaller than 1 and larger than zero, so we have an exponential decay.

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Answer:.

Step-by-step explanation:

The equation to model the situation given in the question is (x+3)(x+6) = 148.

Let's assume that the original length and width of the square flower garden were "x". When Harrison expanded the garden, the new length became "x+3" and the new width became "x+6".

The area of a rectangle is given by the formula A = L × W, where A is the area, L is the length, and W is the width. Therefore, the area of the expanded rectangular flower garden is:

A = (x+3)(x+6)

We know that the area of the expanded rectangular flower garden is 148 square feet. So we can set up an equation:

(x+3)(x+6) = 148

{When we solve this equation using the quadratic formula we get x values:

x ≈ 8.2 and x ≈ -17.2 but we know x is the side of the garden so it cannot be negative, therefore, x = 8.2 unit}

This is the equation that models the situation described in the problem.

Therefore, the equation to model this situation is (x+3)(x+6) = 148.

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Answer:

It's because you are multiplying the wrong variables.

Step-by-step explanation:

Answer:

j = 9, b = 5

Step-by-step explanation:

The first equation must be

\(j+b=14\)

Multiplying by -130 result

\(-130j-130b=-1820\)

we add the equations to eliminate the variable "j"

\(20b=100\)

\(b=100/20=5\)

Now we calculate "j"

\(j+b=14\)

\(j=14-b=14-5=9\)

Hope this helps

c.) 3(2x-6)

Reason:-

3(2x-6) = 6x-18

Answer:

C, D, and E are your answers

3 x 2x = 6x, 3 x 6 = 18

6x - 18

x + 5x = 6x

6x - 18

2 x 3x = 6x

2 x 9 = 18

6x - 18

The expression under root X the value of the expression is between four and five what is a possible value of x is 25

We are given the expression √8 + √x and we know that the value of the expression is between 4 and 5.

Let's first evaluate the expression when x = 0:

√8 + √0 = √8 + 0 = √8 ≈ 2.83

Since this value is less than 4, we know that x must be greater than 0.

Now let's evaluate the expression when x = 49:

√8 + √49 = √8 + 7 = 2.83 + 7 = 9.83

Since this value is greater than 5, we know that x must be less than 49.

Therefore, a possible value of x is 25.

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Answer:

Answer:

(-2,2)

Step-by-step explanation:

Original is (-1,1) so just multiply by 2 so (-2,2)

The constant of variation is -4 and the quadrants in which the graph is located is the fourth quadrant.

An inverse function is a function that undoes the action of the another function.

A direct variation's constant of variation is the constant ratio of two variables.

The constant product between two variables represents a variation that is indirect.

Given that;

Inverse variation function = 8

Independent variable = -½

To find constant of variation, we know that;

For an inverse function

y = k/x

k = x × y

Plugging in the relevant values gives;

k = 8 × -½

k = - 4

Thus, the constant of variation is -4.

Also, the minus sign indicates that the constant of variation lies in the 4th quadrant of the graph.

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Answer:

Quadrants 2 & 4

K=-4

Thus, there is a 71.95% chance that a randomly selected amateur player in the tournament is not in the top 40 golfers in the world.

The first step in solving this problem is to use the given information to calculate the proportion of players who are both amateurs and ranked in the top 40 golfers in the world.

Since being a top 40 golfer and being an amateur are mutually exclusive, the proportion we're interested in is the proportion of amateur players who are not in the top 40.

We know that 15% of players are in the top 40, so 85% of players are not. We also know that 67% of players are amateurs, so 33% of players are not. To find the proportion of amateur players who are not in the top 40, we can multiply these two proportions:

0.85 x 0.33 = 0.2805

So, 28.05% of players in the tournament are amateurs who are not in the top 40.

Now, we can use this proportion to answer the question of what the probability is of selecting an amateur player who is not in the top 40, given that the player is an amateur. This is simply the proportion we just calculated:

P(amateur and not top 40) = 0.2805

Therefore, the probability of selecting an amateur player who is in the top 40 is:

P(top 40 | amateur) = 1 - P(amateur and not top 40)
= 1 - 0.2805
= 0.7195 or 71.95%

In other words, there is a 71.95% chance that a randomly selected amateur player in the tournament is not in the top 40 golfers in the world.

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