Two of the steps in the derivation of the quadratic formula are shown below.

Step 6: StartFraction b squared minus 4 a c Over 4 a squared EndFraction = (x + StartFraction b Over 2 a EndFraction) squared

Step 7: StartFraction plus or minus StartRoot b squared minus 4 a c EndRoot Over 1 a EndFraction = x + StartFraction b Over 2 a EndFraction

Which operation is performed in the derivation of the quadratic formula moving from Step 6 to Step 7?

The graph representing the interaction between meditation. Scull’s prediction that engaging in both activities does not produce any more benefit than either activity alone was wrong.

The interaction between exercise and meditation is more pronounced, indicating that it is necessary to engage in both activities to achieve better grades. Students who meditate and exercise regularly received better grades than those who did not meditate or exercise at all. According to the table of means, students who exercised but did not meditate had a mean of 3.6, students who meditated but did not exercise had a mean of 3.5, students who did not meditate or exercise had a mean of 2.5, and students who meditated and exercised had a mean of 3.8.

The mean score for the group who exercised but did not meditate was lower than the mean score for the group who meditated but did not exercise. The mean score for the group that neither meditated nor exercised was the lowest, while the group that meditated and exercised had the highest mean score.

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a computer randomly selects 800 names from a list of all registered voters. Then option C  is correct  that is Simple random sampling

A simple random sample in statistics, is a subset of individuals chosen from a larger set. Each individual is chosen randomly and entirely by chance, such that each individual has the same probability for the entire larger set.

the complete question is

Identify the sampling method as simple random​ sampling, systematic​ sampling, convenience​ sampling, or stratified sampling. A computer randomly selects 800 names from a list of all registered voters. Those selected are surveyed to predict who will win the election for Mayor.

Choose the correct sampling technique below.

A. Systematic sampling

B. Convenience sampling

C. Simple random sampling

D. Stratified sampling

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Answer:

How long would it have taken Greg alone?

4 minutes

Explanation:

If Greg and Cindy cleans the snow in 12 minutes

Then, it would take Cindy 20 minutes to clean it alone.

Therefore, we need to find the amount of time it would take Greg alone to clean the snow.

Let Greg be = x

Let Cindy be = y

x + y = 12 minutes

y= 20 minutes

To find x, we would get 20- 12 = 4 minutes

Therefore, it would take Greg alone 4 minutes to clean the snow from the driveway.

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The probability of rolling an even number the first time is 1/2 and a number greater than 4 the second time is 1/6.

To calculate this probability, we will first determine the probability of each individual event and then multiply them together, as these events are independent.

1. Find the probability of rolling an even number on the first roll:
There are 3 even numbers on a die (2, 4, and 6). Since there are 6 possible outcomes when rolling a die, the probability of rolling an even number is 3/6, which simplifies to 1/2.

2. Find the probability of rolling a number greater than 4 on the second roll:
There are 2 numbers greater than 4 on a die (5 and 6). With 6 possible outcomes, the probability of rolling a number greater than 4 is 2/6, which simplifies to 1/3.

3. Multiply the probabilities of the two independent events:
To find the probability of both events happening, we multiply their individual probabilities: (1/2) x (1/3) = 1/6.

So, the probability of rolling an even number the first time and a number greater than 4 the second time is 1/6.

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An annual payment is found approximately $617.34. The correct option is e.. $617.34.

To find the size of your payments, you can use the formula for calculating the equal installments on a loan.

First, calculate the annual payment by dividing the borrowed amount ($2,000) by the present value factor of an annuity due with 4 periods at a 9% interest rate.

Using a financial calculator or spreadsheet, the present value factor of an annuity due with 4 periods at 9% interest rate is 3.2403.

Dividing $2,000 by 3.2403 gives us an annual payment of approximately $617.34.
Therefore, the correct answer is e. $617.34.

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Step-by-step explanation:

hope it will help you market is brilliant

Answer:

a, b, d, e

maybe c

Step-by-step explanation:

Not the best way to do it, but it should look something like this.

This equation is always true, which means that b and c can take any value as long as they satisfy Equation 5: b + c = 2a.

Step-by-step explanation:

To find all values of a, b, and c for which matrix A is symmetric, we need to check if the transpose of matrix A is equal to A.

Given matrix A:

A = [[-9a, 2b + 2c],

[2a + b + c, -6]]

To check if A is symmetric, we need to compare it with its transpose:

A^T = [[-9a, 2a + b + c],

[2b + 2c, -6]]

For A to be symmetric, A must be equal to its transpose, i.e., A = A^T.

Comparing the corresponding entries of A and A^T, we get the following equations:

-9a = -9a (Equation 1)

2b + 2c = 2a + b + c (Equation 2)

2a + b + c = 2b + 2c (Equation 3)

-6 = -6 (Equation 4)

Equation 1 and Equation 4 are trivially true, so we can ignore them.

Simplifying Equation 2 and Equation 3, we get:

2b + 2c = 2a + b + c => b + c = 2a (Equation 5)

2a + b + c = 2b + 2c => 2a - b - c = 0 (Equation 6)

Now, we have a system of equations (Equation 5 and Equation 6) that we can solve to find the values of a, b, and c.

Subtracting Equation 6 from Equation 5, we have:

(b + c) - (2a - b - c) = 2a - (2a - b - c)

2b + 2c = 2b + 2c

0 = 0

In summary, there are infinitely many values of a, b, and c for which matrix A is symmetric. The values of b and c can be chosen freely as long as they satisfy the equation b + c = 2a.

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Answer:

108

Step-by-step explanation:

x and 2/3 x are linear pair angles.

Sum of linear pair angles is 180.

x + 2/3 x = 180

3x/3 + 2x/3 = 180

( 3x + 2x )/3 = 180

5x/3 = 180

Cross multiply,

5x = 180 * 3

Divide 5 on both sides,

x = ( 180 * 3 )/5

  = 36 * 3

x = 108

Step-by-step explanation:

C

parallel to y=-x-4 is C or D

(5,-3)=> C

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

A trigger strategy is a strategy that specifies an action to take in response to certain observed actions by other players. In this context, a trigger strategy involves cooperating as long as the other player cooperates, but immediately defecting and pursuing a different strategy if the other player deviates from cooperation.

In the given game, the firms cannot attain the joint profit-maximizing outcome in a subgame perfect equilibrium using trigger strategies because there is no trigger that can effectively sustain cooperation in the repeated game. Both firms have an incentive to deviate and lower their price to increase their own profit.

A stick and carrot strategy combines punishment for deviating from cooperation (stick) and rewards for cooperating (carrot). In this case, a stick and carrot strategy could involve punishing the deviating firm by setting a low quantity or price in response to their deviation, while rewarding cooperation by maintaining high quantities and prices. However, it is unlikely to attain the joint-profit maximizing outcome in a subgame perfect equilibrium using stick and carrot strategies because the firms still have an incentive to deviate and lower their price to increase their own profit, even if they face punishments or rewards. Therefore, sustaining cooperation and achieving the joint-profit maximizing outcome is challenging in this repeated game.

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Answer:

It's 38.

Step-by-step explanation:

the sum of three consecutive even integers is 108, the largest number in the sequence would be 38.

I hope this helps you!

Answer:

We can use algebra to solve this problem. Let's call the smallest of the three consecutive even integers x. Since the integers are consecutive and even, the next two integers will be x+2 and x+4.

The problem states that the sum of three consecutive even integers is 108, so we can write an equation:

x + (x+2) + (x+4) = 108

We can simplify this equation by combining like terms:

3x + 6 = 108

3x = 102

x = 34

So, the smallest of the three consecutive even integers is 34.

The next two integers will be x+2 = 34+2 = 36 and x+4 = 34+4 = 38

The largest number of the three consecutive even integers is x+4 = 38.

Answer:

y= -2x+6

Step-by-step explanation:

y=mx+b

b is the y intercept (what is y when x is 0) in this case it is positive 6

m is slope which is rise/run, in this case down 2 and over 1 so that would be -2/1 which is the same as -2

y = -2x+6

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

\(27 \frac{2}{3} \)

Step-by-step explanation:

Ok, so first substitute x for 4 in

"g(x) = 5x + 1", and x for 3 in

"k(x) = 2/x + 2x". Now you got:

g(4) = 5(4) + 1

k(3) = 2/(3) + 2(3)

Now you can solve each individually.

g(4) = 5 × 4 = 20

20 + 1 = 21

g(4) = 21

k(3) = 2 × 3 = 6

6 + 2/3 = 6 2/3

k(3) = 6 2/3

g(4) + k(3) = 21 + 6 2/3 = 27 2/3

Hope this helps :)

Answer:

2) Ans;

\(\frac{( - 19) - ( - 7)}{5 - ( - 9) - 10} \\ \\ \frac{ - 19 + 7}{5 + 9 - 10} \\ \\ \frac{ - 12}{4} = - 3

\)

4) Ans;

\(( - 3)^{3} + \frac{12}{4 - 2} \\ \\ - 27 + \frac{12}{2} \\ \\ - 27 + 6 = - 21

\)

6) Ans;

\( \frac{8 \times 2 \times 2}{ - 8} - 2 \\ \\ \frac{24}{ - 8} - 2 \\ \\ - 4 - 2 = - 6\)

I hope I helped you^_^

Answer:

m∠QPS = 59

Step-by-step explanation:

59 + (7x-5) = 180

x = 18

If you substitute 59 with the other answer options you will get a decimal.

I hope that this could help!!!!

..............................................

The pairs of angles that are congruent if a║b and c║d are: A. 1 and 3;

D. 10 and 12.

The measure of congruent angles are always equal, this means that for a pair of angles to be considered congruent, their angle measure would be equal.

For example, the types of pairs of angles that will be congruent if two parallel lines are crossed by a transversal are:

Alternate interior angles

Alternate exterior angles

Corresponding angles

Therefore, if a║b and c║d, the pairs of angles that are congruent would be angles 1 and 3 because they are corresponding angles; and 10 angles 10 and 12 because they are also corresponding angles.

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Complete Question:

If a | | b and c | | d , which pair of angles are congruent?

A. 1 and 3

B. 5 and 8

C. 4 and 9

D. 10 and 12

Answer: x= -3t/26

if it’s for x = -3t/26

If it’s for t= 26x/3

Step-by-step explanation:

Hope it helps

Answer:

d) 5

Step-by-step explanation:

we can observe that the x-value 5 appears twice in the relation. However, in a function or a relation, each x-value should only have one corresponding y-value. Therefore, the repetition of (5, 1) and (5, 2) indicates an inconsistency or ambiguity in the relation. As a result, 5 is not a valid x-value in the domain.

Answer:

2.11

Step-by-step explanation:

Answer:

Step-by-step explanation:

The gravitational force between the satellite and planet can be defined as: F = (G x m1 x m2) / r^2

Where:

F is the gravitational force between the satellite and planet

G is the gravitational constant

m1 is the mass of the planet

m2 is the mass of the satellite

r is the distance between the center of mass of the planet and the satellite.

Since the satellite moves in a circular orbit, its centripetal force is given by:

Fc = m2 x v^2 / r

Where:

Fc is the centripetal force acting on the satellite

v is the velocity of the satellite

r is the radius of the circular orbit.

At the point where the escape velocity is reached, the kinetic energy of the satellite is equal to the potential energy. This expression can be written as:

(1/2 x m2 x vesc^2) - (G x m1 x m2) / r  = 0

Where:

vesc is the escape velocity of the satellite.

Equating the above two expressions for Fc and F, we get:

m2 x v^2 / r = (G x m1 x m2) / r^2

Simplifying the above equation, we get:

v^2 = (G x m1) / r

Taking the square root of both sides, we get:

v = sqrt(G x m1 / r)

This is the expression for the orbital velocity of the satellite.

To find the escape velocity, we set v = vesc in the above equation:

vesc = sqrt(2 x G x m1 / r)

This is the expression for the escape velocity of the satellite.

Kepler's law of planetary motion states that:

The orbit of a planet around the Sun is an ellipse with the Sun at one focus.

The line joining the planet and the Sun sweeps out equal areas in equal intervals of time.

The square of the orbital period of a planet is proportional to the cube of its average distance from the Sun.

These laws apply not only to planets around the Sun but also to satellites around planets.

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In general, observational studies are more problematic than randomized controlled trials because they can produce spurious relationships.

Observational studies rely on the natural variation in exposures and outcomes that occur in the population, without any intervention or manipulation by the researcher.

This can lead to confounding variables, which are factors that are associated with both the exposure and the outcome and can produce a false association between them.

Randomized controlled trials, on the other hand, assign participants to different exposure groups at random, which reduces the risk of confounding and allows for a more accurate assessment of causality.

Therefore, researchers must be cautious when interpreting observational studies and consider the potential for spurious relationships.

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Answer:

If you are asking what the solution to this set of equations is, then they are the same line. They map to the same line.

Step-by-step explanation:

Answer:

They both have the same slope of 2. Their y-intercepts are different. One is -2 and the other is -3/2.

Step-by-step explanation:

4x-2y=4

4x - 4 = 2y

(divide 2 by both sides)

2x-2=y

-4x+2y=-3

2y=4x-3

(divide 2 both sides)

y = 2x - 3/2

Answer:

9 Hours

Step-by-step explanation:

290 divided by 5 = 58MPH

^  miles divided by hours

522 divided by 58 = 9 Hours

^ miles divided by the MPH

Answer:

9 hours

Step-by-step explanation:

290 miles-->  5 hours

1 miles--> 5/290 hours

522 miles --> (5/290)*522 = 9 hours