The data set represents the number of snails that each person counted on a walk after a rainstorm. 12, 13, 22, 16, 6, 10, 13, 14, 12 What is the outlier of the data? 6 11 15 22.

Answer:

Look Below

Step-by-step explanation:

It reveals what type of slope it has. It reveals whether it is positive or negative. It tells when the line will cross the Y-Axis. This is just the groundwork of it but there is a whole list I think on what one equation can reveal about a line on a graph. Hope This Helps! If you find any fault in my answer please let me know! Have a good day!

Step-by-step explanation:

It seems here that they are asking us to solve for x

to do this we first need to factor

Since we can't factor this using the normal method we can instead do this

x^2 -4x-17=0

add 4 to both sides as it is a perfect square

x^2 - 4x + 4  = 17 +4

(x-2)^2 = sqrt 21

x-2 = ±  4.58

x -2 = 4.58    x-2 = -4.58

x= 6.58          x=-2.58

Or just say x=2+√21 or x=2−√21

Possible causal reasons for the correlation between time spent playing video games and aggression are:

1. Video games cause aggression: This suggests that playing violent video games leads to aggressive behavior. To study this causal hypothesis, one possible approach would be to randomly assign participants to play either a violent or non-violent video game for a certain amount of time and then measure their level of aggression using a standardized aggression scale. This could be repeated with different samples to increase the reliability of the results.

2. Aggressive individuals seek out violent video games: This suggests that individuals who are already predisposed to aggression are more likely to choose to play violent video games. To test this hypothesis, researchers could administer an aggression scale to participants before asking them to report how often they play video games, and what types of games they prefer. The correlation between aggression scores and the amount of time spent playing violent video games would then be calculated.

3. A third variable is responsible for the relationship: This suggests that there is a third variable that causes both increased video game play and aggression. For example, this third variable could be stress levels, which may increase the likelihood of both playing video games and displaying aggressive behavior. To study this hypothesis, researchers could measure stress levels in participants and then ask them to report how often they play video games and their level of aggression. The correlation between stress levels and both video game play and aggression could then be calculated.

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Answer:

The correct answer is 55°

Answer: see below

Step-by-step explanation  

Let    2 + a = 11 x

Let    35 - b = 11 y

Where x and y are any unknown integer

subtract the two equations

- 33 + a + b = 11 (x+y)

a+ b = 11 (x+ y) +33

a+ b = 11 (x+y) + 3 (11)

a+ b = 11(x+ y+3)

Which proves that a+b is a  factor of 11

The equation of the line parallel to the line -3y = -9x - 15 and passing through the point (-4, -13) is y - 3x = 35

As per the given data: the line passes through the point (-4, -13) and is parallel to the line -3y = -9x - 15.

9x - 3y = 15

3x - y = 5

Here we have to determine the equation of the line that passes through the point (-4, -13) and is parallel to the line 3x - y = 5:

When two lines are parallel then their slopes are equal.

y = 3x - 5

Slope form - y = mx + c

Compare both the equations: m = 3

So, the slope of the line that passes through the point (-4, -13) is 3.

Using the one-point slope form of a line the equation of a line that passes through the point (-4, -13) and is parallel to the line 3x - y = 5 can be determined.

The one-point slope form is given below:

\(y - y_{1} = m(x-x_{1} )\)

Substitute the values of the known terms in the above equation.

y - (-4) = 3 (x - (-13))

y + 4 = 3 (x + 13)

y + 4 = 3x + 39

y - 3x = 39 - 4

y - 3x = 35

Therefore the required equation is y - 3x = 35

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The probability that John will unload the dishwasher after taking out the garbage depends on the total number of possible orderings for the four jobs. Therefore, the probability is 12/24, which simplifies to 1/2 or 0.5.

Assuming each job is equally likely to be chosen, there are 24 possible orderings. Out of these, 12 orderings have the dishwasher being unloaded after taking out the garbage.

To determine the probability, we need to consider the total number of possible orderings for the four jobs. Since John chooses slips of paper from a jar each morning, there are 4! (4 factorial) or 24 possible orderings.

Out of these 24 orderings, we need to find the number of orderings where John unloads the dishwasher after taking out the garbage. There are two possible positions for the dishwasher to be in: either before or after taking out the garbage. For each position, there are 2! (2 factorial) or 2 orderings for the remaining two jobs.

Therefore, there are a total of 2 x 2 = 4 orderings where the dishwasher is unloaded after taking out the garbage.

The probability is calculated by taking the number of favorable outcomes (4) and dividing it by the total number of possible outcomes (24), resulting in 4/24, which simplifies to 1/6 or 0.5.

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The solution of the given equation is y = y = e^(6x -∞) ,y = e^(6x)

The given equation is a first-order linear differential equation with constant coefficients. Applying the integrating factor, we get:

\(I = e^(int (6 dy/6y)) = e^(ln y)\)

Multiplying both sides of the equation by I:

\(Iy' = 6y5/6 ⇒ dy/y = 6/6 dy ⇒ ln y = 6x + c\)

Therefore, the general solution of the given equation is:

y = e^(6x + c)

Substituting the initial condition, y(0) = 0 to the above equation, we get:

\(0 = e^(6(0) + c) ⇒ c = -∞\)

Therefore, the solution of the given equation is:

y = e^(6x -∞)

Solution 2:

The given equation is a first-order linear differential equation with constant coefficients. Applying the integrating factor, we get:

\(I = e^(int (6 dy/6y)) = e^(ln y)\)

Multiplying both sides of the equation by I:

Iy' = 6y5/6

⇒ dy/y = 6/6 dy

⇒ ln y = 6x + c

Therefore, the general solution of the given equation is:

y = e^(6x + c)

Substituting the initial condition, y(0) = 0 to the above equation, we get:

0 = e^(6(0) + c)

⇒ c = 0

Therefore, the solution of the given equation is:

y = e^(6x)

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Answer:

sociable I think........

Answer:

2,134.57 or the bottom one

Step-by-step explanation:

I found the volume

Answer:

its D i did the Iready

Step-by-step explanation:

The value of x  for The quadrilateral which is a trapezoid is if the top is 21 and the bottom is 27 is option 2 that is 5.

Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides.

From the given diagram, the expression below is true:

2(5x - 1) = 21 + 27

Expand

10x - 2 = 48

10x = 48 + 2

10x = 50

Divide both sides by 10

10x.10 = 50/10

x = 5

Hence the value of x is 5

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solution:

3x^2+9x-5

i hope this helps

:)

The distance of point from the axis of rotation of the second hand is 8.2 cm.

Here,

A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2.

We have to find the distance of point from the axis of rotation of the second hand.

What is Rotation?

The circular motion of an object around the circle is called Rotation.

Now,

Let us consider the equation for the centripetal acceleration given by;

\(a_{c} = \frac{v^{2} }{r}\)

where, v is the velocity and r is the radius.

Now, the velocity can be expressed as;

\(v = wr = \frac{2\pi r}{T}\)

where, ω is the angular velocity and T is the period.

Solving for the radius using these equations given as;

\(a_{c} = \frac{v^{2} }{r}\\\\v^{2} = a_{c} r\\\\(\frac{2\pi r}{T} )^2 = a_{c} r\\\\\frac{4\pi ^{2}r^{2} }{T^{2} } = a_{c} r\\\\r = \frac{T^{2} a_{c} }{4\pi ^{2} } \\\\r = \frac{(60s)^2(0.09 cm/s^2)}{4\pi ^{2} } \\\\r = 8.2 cm\)

Hence, The distance of point from the axis of rotation of the second hand is 8.2 cm.

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Answer:

264/9 = 29.34

Step-by-step explanation:

(11/3)*(12/3)*2

Answer:

29.34

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

Opposite angles of a rhombus are congruent, so

\(5 \times 25=7x-1\\\\125=7x-1\\\\126=7x\\\\x=18\)

Answer:

(35°/360°)π(2 × 7.5 inches) = 4.58 inches

5285 meters x 0.001 = 5.285 km

Multiplying the length in meters by 0.001 converts it to kilometers.

Answer: y=14x

Step-by-step explanation:

The answer you gave in the picture is correct. In the data table, you can see that 14 multiplied to the x value gives you y.

14(0.5)=7

1(14)=14

1.5(14)=21

2(14)=28

We can match each of the following events with the best description of their probability as follows:

Landing on a number greater than 6 = as likely as not

Landing on the number 0 = unlikely

Landing on an odd number = likely

Landing on a number greater than 2 = Certain

To determine the probabilities, we could first assign the entire numbers to be obtained as 8. Next, we use the statements given to determine the likely probabilities. For instance, the likelihood of getting a number greater than 6 gives us the numbers, 7 and 8.

Now, we sum these up and obtain the probability. This gives us 2/8 which is equal to 0.25. So, it is possible to get a number greater than 6 when the spinner is spun.

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The conversion of the physical quantities 183cm in length to equivalent mass in pounds is 5.435* 10²⁷ lbs.

What is a physical quantity?

A physical quantity is a property of a substance or system that can be measured and quantified. A value, created by multiplying a numerical value by a unit in algebra, can be used to express a physical amount. Every physical characteristic of a substance or system that can be quantified, or measured in numerical terms, is referred to as a physical quantity in physics. Time, length, mass, electric current, thermodynamic temperature, amount of substance, and luminous intensity are the seven base quantities that make up the current SI.

Centimetres(cm) is the unit of length and pounds(lbs) is the unit of mass.

They are physical quantities of a substance.

Both mass and length are not equal to each other but these physical quantities are proportional to each other.

Here we are asked to convert 183cm to lbs.

We know the force between two bodies M and M' is

The ratio of gravitational constant G and the speed of light c can be used as a conversion factor for length to mass.

G/c² = 7.424 * 10⁻²⁸  m/kg

183 cm = 1.83m = 1.83 m / 7.424 * 10⁻²⁸  m/kg = 2.465 * 10²⁷kg

1kg = 2.205 lbs

2.465 * 10²⁷kg * 2.205 = 5.435* 10²⁷ lbs

Therefore the conversion of the physical quantities 183cm in length to equivalent mass in pounds is 5.435* 10²⁷ lbs.

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After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

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Answer: 3/10

Step-by-step explanation: Convert given fractions into like terms. In this case 1/5 becomes 2/10 and 1/2 becomes 5/10. Add them up and you get 7/10. Subtract from the total of 10/10 and the result is 3/10. Since the final fraction can't be simplified, this is the final answer.

Evaluation of logarithm is \(log_{64}4 = \frac{1}{3}\)

In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as \(log_{a}x\) .

where, a is the base of function or equation

           x define expression

Mathematically, if \(a^x = N\) is an exponential function then, this can be converted to logarithmic function as  \(log_aN = x\).

There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.

Some important formulas of logarithms :

According to statement,

\(log_{64}4\\\)

this equation can be written as

\(log_{2^6} 4 \\= > \frac{1}{6}log_24 \\\\ = > \frac{1}{6}log_2{2^2}\\\\= > \frac{1}{6}2log_2{2}\\\\= > \frac{1}{6}. 2 = \frac{1}{3}\)

Thus solution for this equation is \(log_{64}4 = \frac{1}{3}\)

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The area of the triangle bounded by the lines y=x y=-x and y=6 is 36 units.

The formula for finding area could be represented in the form of determinants as given below.

\(A = \frac{1}{2} \left[\begin{array}{ccc}x1&y1&1\\x2&y2&1\\x3&y3&1\end{array}\right]\)

First, we need to find the coordinates of the point of intersection of these lines.

y = x

y = -x

Adding the two equations,

2y = 0

y = 0

x = 0

coordinate: (0, 0)

y = x

y = 6

Subtracting the two equations,

0 = x - 6

x = 6

coordinate: (6, 6)

y = -x

y = 6

Subtracting the two equations,

- x - 6 = 0

x = -6

coordinate: (-6, 6)

Calculating area of triangle bounded by the given line:

Area of triangle =

\(\frac{1}{2}\left[\begin{array}{ccc}0&0&1\\6&6&1\\-6&6&1\end{array}\right]\)  =  \(\frac{1}{2} (36 + 36) = \frac{72}{2} = 36\)

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Answer:

16, 32, and 64

Step-by-step explanation:

The number is being doubled every time.

The relationship between cosine and sine of complementary angles allows us to complete the given equation. Using the cofunction identity, we know that the cosine of an angle is equal to the sine of its complementary angle.

If cos(pi/3) = sin(), we can determine the value of the complementary angle to pi/3 by finding the sine of that angle. To find the lengths of the missing sides in a right triangle, we can use the given information about the angle B and side a. Since cos(B) = 4/5, we know that the adjacent side (side b) is 4 units long and the hypotenuse is 5 units long. Using the Pythagorean theorem, we can find the length of the remaining side, which is the opposite side (side a). Given that a = 50, we can solve for the missing side length. In summary, using the cofunction identity, we can determine the value of the complementary angle to pi/3 by finding the sine of that angle. Additionally, using the given information about angle B and side a, we can find the missing side length by using the Pythagorean theorem.

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Answer:

B

Step-by-step explanation:

Formula

SA = 2*L*W + 2*L*H + 2*H*W

Givens

L = 14

W = 7

H = 7

Solution

SA = 2*14*7 + 2*14*7 + 2*7*7

SA = 196 + 196 + 98

SA = 490

The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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Answer:

Option 2 or B, 1/2

Step-by-step explanation:

Technically, Coins only have two sides since they only have two sides we can put it in a form such as the following:

Coins have 2 sides: 50/50

Fractions have only 1 half: 1/2

Since there is only a 50/50 chance lets make it a percentage:

Percentage goes to 100%:

50%...

Since there is 50% chance to land on heads, now lets make it in fraction form:

1/2.

And there is your final answer:

1/2 or B