Which expression is equivalent to 3(x − 4) + 4(y + 2)?

Answer:

-1.6

i think

Step-by-step explanation:

you have to do y2-y1

                         x2-x1

then divide y by x

hope this helped

Answer:

a) $93, $117.80, $86.80, $68.20

b) $365.80

Step-by-step explanation:

a)

Add 12 hours to each p.m. time to make the subtraction of hours easier.

Also, use decimal numbers to do the subtraction. Remember that 0:30 means 30 minutes which is 0.5 hour, so 7:30 is the same as 7.5 as a decimal.

Monday: 8:00 to 15:30

15:30 - 8:00 = 1.5 - 8 = 7.5 hours

7.5 hours * $12.40/h = $93

Wednesday: 7:30 to 17:00

17:00 - 7:30 = 17 - 7.5 = 9.5 hours

9.5 hours * $12.40/h = $117.80

Friday: 9:00 to 16:00

16:00 - 9:00 = 16 - 9 = 7 hours

7 hours * $12.40/h = $86.80

Saturday: 10:30 to 16:00

16:00 - 10:30 = 16 - 10.5 = 5.5 hours

5.5 hours * $12.40/h = $68.20

b) Add all the daily amounts above.

$93 + $117.80 + $86.80 + $68.20 = $365.80

Answer:

2.76 x 10⁹

Explanation:

Particles of dust per square foot = 2.3 x 10⁷

The size of Vic's bedroom = 1.2 x 10²

Therefore, the number of particles of dust present in the bedroom is:

We simplify our result below.

There are 2.76 x 10⁹ dust particles.

Answer:

(-1,-1)

Step-by-step explanation:

STEP 1: Find the area of the rectangle.

Area = l×b

Area = 19×6

        = 114

STEP 2 = Find the area of the triangle.

Area = 1÷2 × base × height

Area = 1÷2 × 6 × 7

        = 21

STEP 3 : Add the areas of the rectangle and the triangle to find the area of the whole figure.

∴  114+21 = 135

FINAL ANSWER = 135

PLEASE MARK THIS ANSWER THE BRAINLIEST

The continued fraction expansion of √(a²+1) is [a; a, a, a, ...]. By utilizing the previous problem, we can demonstrate that there are infinitely many solutions to the equation x² = 1 + y² + 2².

To expand √(a²+1) as a continued fraction, we can start by assuming the value of √(a²+1) is equal to x, resulting in the equation x = √(a²+1). Squaring both sides, we have x² = a² + 1. Rearranging the terms, we get x² - a² = 1.

Now, let's consider the equation x² = 1 + y² + 2². We can rewrite it as x² - y² = 1 + 2². Comparing this equation to the previous one, we observe that it has the same form, with a² replaced by y².

Since we know there are infinitely many solutions to x² = 1 + a², it follows that there are also infinitely many solutions to x² = 1 + y² + 2². For every solution of x and y that satisfies the equation x² = 1 + a², we can obtain a corresponding solution for x and y in the equation x² = 1 + y² + 2².

Therefore, by utilizing the fact that x² = 1 + a² has infinitely many solutions, we can conclude that x² = 1 + y² + 2² also has infinitely many solutions.

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Angle C is the biggest.

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

The solution to the given system of equations is x = 0.043, y = 0.391, z = -2.652.

To solve the given system of equations using the inverse of the coefficient matrix, we can express the system in matrix form as AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.

The coefficient matrix A for the system is:

A = [[7, -1, 6], [0, -6, 4], [4, 3, 8]]

The variable matrix X is:

X = [[x], [y], [z]]

The constant matrix B is:

B = [[-4], [-2], [-15]]

To find the solution X, we can use the formula X = A^(-1) * B, where A^(-1) represents the inverse of matrix A.

First, we need to calculate the inverse of matrix A. Once we have the inverse, we can multiply it by matrix B to obtain the solution matrix X.

The inverse of matrix A is:

A^(-1) = [[-1.391, 0.261, -0.261], [0.174, -0.087, 0.087], [0.522, -0.130, -0.087]]

Multiplying A^(-1) by matrix B, we get:

X = A^(-1) * B = [[0.043], [0.391], [-2.652]]

Therefore, the solution to the system of equations is x = 0.043, y = 0.391, z = -2.652.

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Your final regular expression is "[123abc]+". This expression will match any sequence of the specified digits and lowercase letters (1, 2, 3, a, b, and c) within a text string.

To write a regular expression that matches all the digits 1, 2, and 3, and the lowercase letters a, b, and c within a text string, follow these steps:
Start the regular expression with an opening square bracket "[", which indicates the start of a character class.
List the digits you want to match, in this case, 1, 2, and 3, followed by the lowercase letters a, b, and c. So the expression inside the character class would be "123abc".
Close the character class with a closing square bracket "]". Your regular expression should now look like "[123abc]".
To match one or more occurrences of these characters, add a "+" sign after the closing square bracket. This makes the expression "[123abc]+".
Now, your final regular expression is "[123abc]+". This expression will match any sequence of the specified digits and lowercase letters (1, 2, 3, a, b, and c) within a text string.

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A change in a population that is not related strictly to the size of the population can be described as a change in the demographic makeup of the population. This refers to changes in the characteristics of individuals within the population, such as age, gender, education level, and ethnicity.

For example, if a population experiences an influx of young adults, this would represent a change in the demographic makeup of the population, even if the overall size of the population remains the same.

Other factors that can contribute to a change in the population's makeup include migration patterns, changes in birth rates and mortality rates, and shifts in cultural or social norms. These changes can have significant impacts on a population, affecting everything from economic growth to social dynamics. Understanding demographic changes is therefore critical for policymakers and researchers seeking to address issues such as inequality, public health, and urban planning. By analyzing population trends and anticipating future changes, we can better prepare for the challenges and opportunities that lie ahead.

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Answer:

the answer to this question is -13x + 13

Answer:

yep that's correct

Answer:

36

Step-by-step explanation:

(a) Player Column's best response is given by:

BR_Column(p) = { L if p < 1/2, R if p > 1/2 (indifferent if p = 1/2)

(b) Where both players are indifferent between their available strategies.

(c)  The normal form representation of the game is above.

(d) No player can gain an advantage by deviating from this strategy.

This equilibrium results in an expected payoff of 0 for each player.

(a) To derive the best response functions, we need to find the strategies that maximize the payoffs for each player given the mixed strategy of the other player.

Player Row's best response function:

If Player Column chooses L with probability q, Player Row's expected payoff for choosing U is 0q + 2(1-q) = 2 - 2q.

If Player Column chooses R with probability 1-q, Player Row's expected payoff for choosing U is 0*(1-q) + 1*q = q.

Therefore, Player Row's best response is given by:

BR_Row(q) = { U if q < 1/3, D if q > 1/3 (indifferent if q = 1/3)

Player Column's best response function:

If Player Row chooses U with probability p, Player Column's expected payoff for choosing L is 0p + 2(1-p) = 2 - 2p.

If Player Row chooses D with probability 1-p, Player Column's expected payoff for choosing L is 0*(1-p) + (-1)*p = -p.

Therefore, Player Column's best response is given by:

BR_Column(p) = { L if p < 1/2, R if p > 1/2 (indifferent if p = 1/2)

Plotting the best response functions on a graph with p on the horizontal axis and q on the vertical axis will result in two line segments: BR_Row(q) is horizontal at U for q < 1/3 and horizontal at D for q > 1/3, while BR_Column(p) is vertical at L for p < 1/2 and vertical at R for p > 1/2.

The two segments intersect at the point (p, q) = (1/2, 1/3).

(b) To find the Nash equilibria, we look for the points where the best response functions intersect. In this case, the only Nash equilibrium is at (p, q) = (1/2, 1/3), where both players are indifferent between their available strategies.

Now let's move on to the rock-paper-scissors-lizard game:

(c) The normal form representation of the game can be written as follows:

    R    P    S    L

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

R | 0,0 -1,1 1,-1 1,-1

P | 1,-1 0,0 -1,1 1,-1

S | -1,1 1,-1 0,0 -1,1

L | -1,1 -1,1 1,-1 0,0

(d) To find the Nash equilibria, we look for any strategy profiles where no player can unilaterally deviate to improve their payoff.

In this game, there are no pure strategy Nash equilibria since each strategy can be countered by another strategy with a higher payoff.

However, there is a mixed strategy Nash equilibrium where each player chooses their actions with equal probabilities: r = p = s = l = 1/4.

In this case, no player can gain an advantage by deviating from this strategy.

This equilibrium results in an expected payoff of 0 for each player.

In summary, the rock-paper-scissors-lizard game has a unique mixed strategy Nash equilibrium where each player randomly chooses their actions with equal probabilities.

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The original data for the data-set in this problem is given as follows:

9, 13, 17, 21, 26, 28, 29, 33, 37, 37, 38, 42, 42, 43, 45, 45, 46, 46, 46, 49, 51, 53, 54, 55, 55, 58, 59, 60, 60.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

Hence the data-set in this problem is constructed as follows:

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Step-by-step explanation:

\((x + 1)(x - 6)(x + 7)\)

\( {x}^{2} - 6x + x - 6(x + 7)\)

\( {x}^{3} + 7x - 6 {x}^{2} - 42x + {x}^{2} + 7x - 42\)

\( {x}^{3} - 5x {}^{2} - 35x - 42\)

Answer:

Step-by-step explanation:544

Answer:

total weight of wheat and rice is 8 kg

Step-by-step explanation:

rice = \(3\frac{3}{2}\)

=3*2+3/2

=9/2

wheat = \(2\frac{1}{2}\)

=2*2+1/2

=5/2

total weight of wheat and rice = \(\frac{7}{2} + \frac{9}{2}\)

since their denominator are same u can add numerators.

=7 +9/2

=16/2

=8

Answer:

x = 59

Step-by-step explanation:

All the angles in a triangle add up to 180

Add all the known angles

83 + 38 = 121

To find the third angle, subtract the total of all the angles by the total of the known angles

180 - 121 = 59

Answer:

the required answer is 64

Step-by-step explanation:

b/4 =16

b = 16 × 4

= 64

Answer:

B /4 =16

Step-by-step explanation:

multiply by 4 and the answer is 64

Answer:

s' 44

Step-by-step explanation:

step is s

Answer:

B. 1/12

Step-by-step explanation:

1/8 × 5/6 = 5/48 × 4/5 = 1/12

Answer:

D

Step-by-step explanation:

f(x)=(3/5)x-10

f(5)=(3/5)(5)-10=

3-10=

-7

Hope this helps!

Answer:

 3²

Step-by-step explanation:

The factors 3³ in the numerator and denominator cancel each other. Anything divided by itself is 1. Anything multiplied by 1 is unchanged.

  \(\dfrac{3^3\cdot3^2}{3^3}=\dfrac{3^3}{3^3}\cdot3^2=1\cdot3^2=3^2\)

_____

Additional comment

The exception is that 0 divided by itself is indeterminate.

(0.82 , 3.38) is estimate of the population mean weight loss for this diet in standard deviation.

What is standard deviation in math?

mean weight loss = 2.1lb

standard deviation = 4.8lb

sample size n = 40

std error = stdev/sqrt(n) = 4.8/sqrt(40) = 0.76

degrees of freedom = n - 1 = 39

critical value for alpha 0.10 and df 39 = +1.68

margin of error = critical value * std error = +1.68 * 0.76 = +1.28

confidence interval = sample mean + margin of error = 2.1 +1.28 = (0.82 , 3.38)

Yes it is effective since the values > 0mean weight loss = 2.1lb

standard deviation = 4.8lb

sample size n = 40

std error = stdev/sqrt(n) = 4.8/sqrt(40) = 0.76

degrees of freedom = n - 1 = 39

critical value for alpha 0.10 and df 39 = +1.68

margin of error = critical value * std error = +1.68 * 0.76 = +1.28

confidence interval = sample mean + margin of error = 2.1 +1.28 = (0.82 , 3.38)

Yes it is effective since the values > 0

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Answer:

An impossible event has a probability of 0. A certain event has a probability of 1.

The power series solution to x²y'' - x(1 + x)y' + y = 0 at x = 0 with the general formula for the coefficients.

The differential equation is x²y'' - x(1 + x)y' + y = 0.

To find the power series solution for this differential equation at x = 0, we assume a power series solution of the form y = ∑anxⁿ.

We substitute this power series in the differential equation and we get:

(x²y'' - x(1 + x)y' + y) = 0  

x²(∑anⁿ(n - 1)xⁿ⁻²) - x(1 + x)(∑anⁿxⁿ⁻¹) + (∑anxⁿ) = 0.

We use the product rule of differentiation to get:

(x²∑anⁿ(n - 1)xⁿ⁻²) - (x²∑anⁿ(n - 1)xⁿ⁻² + x∑anⁿxⁿ⁻¹) + (∑anxⁿ) = 0.

This can be simplified as:

(∑anⁿ(n - 1)xⁿ) - (∑anⁿ(n + 1)xⁿ) + (∑anxⁿ) = 0.(∑anⁿ(n - 1)xⁿ) - (∑anⁿ(n + 1)xⁿ) + (∑anxⁿ) = 0.

This equation holds true for all x. For simplicity, we can set the coefficients of xⁿ to zero.

Then, we have the following relations for the coefficients:For n = 0, an + a1 = 0.

For n > 1, an = (n + 1)aₙ₋₁ / (n - 1) - aₙ₋₂.The general formula for the coefficients is given by:an = (n + 1)aₙ₋₁ / (n - 1) - aₙ₋₂.

We can use the initial conditions to determine the values of a0 and a1.

We can also use the recurrence relation to calculate the other coefficients.

Thus, we can obtain the power series solution to x²y'' - x(1 + x)y' + y = 0 at x = 0 with the general formula for the coefficients.

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Option D is the correct option i.e., 2.5 hours. Timing is everything when it comes to dining before a fight. Athletes must ingest enough calories to power their efforts without developing gastrointestinal pain or bloating while competing. Typically, a substantial dinner should be eaten two to three hours prior to the game. 

The body needs time to process and assimilate nutrients, which is the cause of this. A big dinner requires the body to divert a lot of blood flow to the digestive system, which can have an impact on an athlete's performance. Athletes' performance can be hampered by sluggishness, gastrointestinal pain, or even vomiting brought on by eating too close to a competition.

In general, it is recommended that athletes experiment with different meal timings and types of food during their training to determine what works best for their individual needs.

They should also consider the length of the event and the intensity of their activity to determine the amount and timing of their meals. A registered dietitian or sports nutritionist can help athletes create a personalized nutrition plan to optimize their performance.

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Answer:

8

Step-by-step explanation:

since u first do six + 8 which is 14. Then u do 14 - 4 which is 10

Plz mark as brainliest

Answer:

x=2

Step-by-step explanation:

x = the number

x + 6 = 6x - 4

Solve for x and get

5x = 10