help with both questions pleasee

The property of equality being represented by the equation xa = xb when a = b is called the symmetric property. Correct option is b.

The symmetric property states that if a = b, then b = a. This means that the order of the variables can be reversed without changing the truth of the equation.

In the given equation xa = xb, we have two variables, x and a, and two instances of the variable x, represented as xa and xb. If a = b, we can apply the symmetric property to switch the order of the variables, resulting in xb = xa. This demonstrates that the equation remains true regardless of the order in which the variables are presented.

Therefore, the correct answer is b) symmetric, as the equation xa = xb represents the symmetric property of equality.

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The magnitude of the vector v is 12 units.

To find the magnitude (or norm) of a vector v, denoted as ||v||, we can use the formula:

||v|| = sqrt(vx^2 + vy^2 + vz^2)

where vx, vy, and vz are the components of the vector v in the x, y, and z directions, respectively.

In this case, the vector v is given as 8i + 4j - 8k. Let's substitute the values into the formula:

||v|| = sqrt((8)^2 + (4)^2 + (-8)^2)

= sqrt(64 + 16 + 64)

= sqrt(144)

= 12

Therefore, the magnitude of the vector v is 12 units.

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After the substitution 2(3y - 17) +3y = -7 is the answer of the system of equation.

One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given system of the equation,

x = 3y - 17      {equation 1}

2x + 3y = -7         {equation 2}

Substitute the value of x from the equation 1 to equation2,

2 (3y - 17) + 3y = -7

Therefore, after the substitution 2(3y - 17) +3y = -7 is the answer of the system of equation.

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The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.

To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:

- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.

- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.

- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.

- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.

Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.

Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.

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If the researcher divided subjects into three groups according to whether or not they have brown, blue or green eyes, then the researcher was using a stratified sampling method.

Here a researcher divided subjects into three groups according to whether or not they have brown, blue, or green eyes.

The selected members from each group for their sample

The stratified sampling method is defined as the sampling method that divides the total population into the smaller group

Here the total population is divided into three groups according to whether they have brown, blue or green eyes.

Therefore, researcher was using stratified sampling method

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The first scenario is an example of Newton's first law, the second scenario is an example of Newton's second law.

Finally, if Beatriz Pushed with more force than Gustavo, the door would move in the direction in which Beatriz is pushing.

Remember Newton's first law of motion:

"if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force."

Now, in the first scenario given, both persons push the door with the same force and in opposite directions, thus, the net force on the door is 0 (because we can directly add the forces).

Then the first example is an example of the first law of motion, where because the net force on the door is 0, the door does not move.

Now, for the second law, we know that the force applied to an object is equal to the object's acceleration times the object's mass.

So, in the second case where Gustavo pushes the door with more force than Beatriz, the net force is not 0, so here the door will move in the direction in which Gustavo is pushing, this is an example of the second law of motion.

Finally, if Beatriz Pushed with more force than Gustavo, the door would move in the opposite direction than in the case above.

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Answer:

a balanced force

Unbalanced forces

move

Step-by-step explanation:

I got it right

The price of the item increases by approximately 3.93% each year.

The initial price of the item is the value of p(0), which can be obtained by setting r=0 in the given function. Therefore:

p(0) = 2000(1.039)^0 = 2000

So the initial price of the item is $2000.

To determine whether the function represents growth or decay, we need to look at the value of the base of the exponential function, which is 1.039 in this case. Since this value is greater than 1, the function represents growth.

To find the percentage change in price each year, we can calculate the percentage increase from the initial price to the price after one year (r=1):

p(1) = 2000(1.039)^1 = 2078.60

The percentage increase from $2000 to $2078.60 is:

((2078.60 - 2000)/2000) x 100% ≈ 3.93%

Therefore, the price of the item increases by approximately 3.93% each year.

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Answer:

(5a3b)(2ab)

Expand

That's

15ab( 2ab )

we have the answer as

5y(-y² + 7y - 2)

Expand

That's

Hope this helps you

Answer:

y=3x+7

Step-by-step explanation:

cause bla bla bla and bing bong bang thats how

Answer:

y = 3x + 7 (slope intercept form)

Answer:

+ 2

Step-by-step explanation:

+ 3 + (- 1) = + 2

The measure of <B and <D are 110 degrees and 70 degrees

The sum of the opposite angle of the quadrilateral within the circle is 360 degrees.

Given the following parameters

<B = 3x - 4

<D = 2x - 6

Equate both equations

<B + <D = 180

3x - 4 + 2x - 6 = 180

5x - 10 = 180

5x = 190

x = 190/5

x = 38

Determine the measure of <B and <D

<B = 3x - 4 = 3(38) - 4

<B = 110 degrees

<D = 2x - 6

<D = 2(38) - 6

<D = 76 - 6

<D = 70 degrees

Hence the measure of <B and <D are 110 degrees and 70 degrees

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The number line extending towards -2 represents the correct number line.

A line on which numbers are marked at intervals, used to illustrate simple numerical operations.

Given is the temperature in Fairbanks, Alaska, changed from 0 F at 6 pm to 4 F at 11 pm . Between 11 pm and 5 am , the temperature dropped by 6 degrees.

Between 6 pm and 11 pm : 4 - 0 = 4 F

The temperature at 5 AM would be : 4 F - 6 F = - 2 F

Therefore, the number line extending towards -2 represents the correct number line.

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The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

The number 11 is not a prime number because it only has one positive factor, which is itself.

Not prime

The LCM of 1,11,1 is the result of multiplying

all prime factors the greatest number of times they occur in either number.

11

The factor for x+1x+1 is x+1x+1 itself.

(x+1)=x+1(x+1)=x+1

(x+1)(x+1) occurs 11 time.

The factor for x+3x+3 is x+3x+3 itself.

(x+3)=x+3(x+3)=x+3

(x+3)(x+3) occurs 11 time.

The LCM of x+1,x+3x+1,x+3 is the result of multiplying all factors the greatest number of times they occur in either term.

(x+1)(x+3)(x+1)(x+3)

Binomial is the name for an algebraic expression with only two terms. In mathematics the formula for a binomial is axᵐ + bxⁿ.

What is a binomial?

Binomial is the name for an algebraic expression with only two terms. It is a polynomial with two terms. It is sometimes referred to as the sum or difference of two or more monomials. It is a polynomial's most basic form.

A binomial is a two-term algebraic expression that includes a constant, exponents, a variable, and a coefficient.

A binomial can be written as a single indeterminate as follows -

axᵐ + bxⁿ

Where m and n are non-negative distinct integers and a and b are the numbers. X can be a variable or be indefinite.

Binomials are stated in the same way in Laurent polynomials; the main distinction is that m and n may have negative exponents. Consequently, they are expressed as -

ax⁻ᵐ + bx⁻ⁿ

An example of a binomial polynomial is x² + 4x.

Therefore, binomial formula is axᵐ + bxⁿ.

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Answer:

I can explain.  The answer is A

Step-by-step explanation:

Think of it this way: when you write a mixed number, the fraction is out of 100.    If the denominator is 8, find 1/8 of 100 by doing 100 divided by 1/8.  This gives you 12.5.  The entire fraction is 2/8, so we need to multiply 12.5 by 2, since it's only 1/8.  12.5 x 2 gives us 25.  In the decimal, this would be equal to .25.  A is the only answer that represents the mixed number as a decimal correctly.

The volume of the nitrogen gas enclosed in a cylinder with a movable piston is approximately 0.0049 m³.

To calculate the volume of the nitrogen gas in the cylinder, we can use the ideal gas law equation: PV = nRT.

Where:
P = Pressure (1.01 × 10⁶ N/m²)
V = Volume (unknown)
n = Number of moles (2 moles)
R = Ideal gas constant (8.31 J/mol×K)
T = Temperature (298 K)

Now, rearrange the equation to solve for V:

V = nRT / P

Plug in the given values:

V = (2 moles × 8.31 J/mol×K × 298 K) / (1.01 × 10⁶ N/m²)

V ≈ 0.0049 m³

The volume of the nitrogen gas in the cylinder is approximately 0.0049 m³.

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Answer:

0.015625

Step-by-step explanation:

the answer is 0.015625

Answer:

1/4^3

Step-by-step explanation:

1/4^7 x 1/4^-4 = 1/4^ 7+-4

=1/4^3

Answer:

y = 2x - 16

Step-by-step explanation:

perpendicular lines = have negative-reciprocal slope

slope: -1/2 => negative-reciprocal => 2                                               ↓ slope

substitute (4, -8) and the slope 2 into the slope-intercept form(y = mx + b) to find b:

=> -8 = 2(4) + b => b = -16

plug in the slope 2 and b = -16 to the slope-intercept form:

y = 2x - 16

The partial derivative ∂g/∂θ using the chain rule is evaluated as 0 at the point (r, θ) = (2√2, π/4) where g(x, y) = 1/(x+y)^2, x = 3r/2 * cos(θ), and y = 3r/2 * sin(θ).

To evaluate the partial derivative ∂g/∂θ using the chain rule, we first find the partial derivatives of g with respect to x and y

∂g/∂x = 1/(x+y)^2

∂g/∂y = 1/(x+y)^2

Then, we use the chain rule to find the partial derivative of g with respect to θ

∂g/∂θ = (∂g/∂x)(∂x/∂θ) + (∂g/∂y)(∂y/∂θ)

Substituting x = 3r/2 * cos(θ) and y = 3r/2 * sin(θ), we get

∂x/∂θ = -3r/2 * sin(θ)

∂y/∂θ = 3r/2 * cos(θ)

Substituting these into the chain rule formula, we get

∂g/∂θ = [1/(3r cos(θ) + 3r sin(θ))^2] * (-3r/2 sin(θ)) + [1/(3r cos(θ) + 3r sin(θ))^2] * (3r/2 cos(θ))

Simplifying, we get

∂g/∂θ = (-3 sin(θ) + 3 cos(θ))/(2(3 cos(θ) + 3 sin(θ))^2)

Substituting r = 2√2 and θ = π/4, we get

∂g/∂θ = (-3(1/√2) + 3(1/√2))/(2(3(1/√2) + 3(1/√2))^2)

= 0

Therefore, the partial derivative ∂g/∂θ at the point (r, θ) = (2√2, π/4) is 0.

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Answer:

Step-by-step explanation:

Answer for this question is option (c) 0.2344

Approach:

The probability of getting a Head in single toss

x= 1/2

The probability of not getting a Head in single toss

y= 1 - 1/2 = 1/2

Now, using Binomial Theorem, the probability of getting r = 2 heads in total n = 6 tosses

= ⁶C₂ * (1/2)² * (1/2)⁶⁻²

= [ (6!) / (2! * 4!) ] * (1/4) * (1/16)

= [ (6*5*4*3*2*1) / (2*1 * 4*3*2*1) ] * (1/64)

= 15/64

= 0.234374

= 0.2344 (Round off value)

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Given:

A fair coin is tossed 6 times.

To find:

Probability that you will toss exactly 2 heads.

Probability that you will get a head in a single toss is: Q = 1/2

Probability that you will not get a head in a single toss is: R = 1 – 1/2 = 1/2

We use Binomial Theorem to find the probability of getting 2 heads (x) in a total of 6 tosses (n)

Probability = ⁶C₂ x (1/2)² x (1/2)⁶⁻²

Probability = [(6!) / (2! x 4!)] x (1/4) x (1/16)

Probability = [(6 x 5 x 4 x 3 x 2 x 1) / (2 x 1 x 4 x 3 x 2 x 1)] x (1/64)

Probability = 15 / 64

Probability = 0.234374

Probability = 0.2344

Therefore, the probability of getting exactly 2 heads in 6 tosses is 0.2344

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Answer:

(7.8, ∞)

Step-by-step explanation:

Given the inequality :

x > 7.8 ; the inequality can be explicitly interpreted as x greater than 8 ; this means that the inequality holds for all values of x above 7.8

The interval for which the inequality holds true is :

x > 7. 8 - - - > (7.8, ∞)

The speed of the Gaussian wave, ψ(x,t) = \(Ae^{-a(bx+c)^2}\), can be determined by relating it to the function f(x-vt) and comparing the corresponding terms. By comparing the exponents of x and t, we can identify the speed of the wave.

To determine the speed, we set x-vt = bx+c, which represents the wave moving with velocity v. By solving this equation for v, we can find the speed of the wave.

Now, let's verify this answer using the equation ψ(x,t) = f(x-vt). Plugging in the given expression for ψ(x,t) and substituting \(x = bx' + c\) and \(t = t'\), we obtain:

\(Ae^{-a(bx'+c)^2} = f((b-av)t')\)

By comparing the exponents of x' and t', we can conclude that b-av represents the speed of the wave. Therefore, the speed of the Gaussian wave is v = b/a.

By confirming that the speed of the wave is v = b/a using the equation ψ(x,t) = f(x-vt), we have verified our answer.

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The following statements are true about the scaled copy

Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.

From the figure, we understand that there is another figure

This figure is the scaled factor of the given figure

As a general rule, the following are the properties of a scaled copy of another figure

Using the above as a guide, the true statements about the scaled copy are (b), (c), and (d)

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Answer:

-9

Step-by-step explanation:

-4+4-9 ( remove the opposites)

-9 ( answer)

Hope its help you

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.) The population is years measured after 2000 so 2000 is 0. Any number to the 0 power is 1 so the population is 23.1 (million).

28.3 = \(23.1e^{0.0152t}\)

1.22510823 ≈ \(e^{0.0152t}\)

ln 1.22510823 ≈ 0.0152t

t≈13.4 million

Answer:

work is shown and pictured

Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer