I don’t know if this is correct !!!!!!!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!
PLEASE HELP !!!!!!!!!!!!!!!!!!!

The slope of the line which is perpendicular to the given line 3x+18y=108 is (6).

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

We already know the equation of a line in slope intercept form y = mx + b and we also know that perpendicular lines that have slopes which are negative reciprocals of each other.

Given a line 13x + 18y=108, this slope intercept form can be written as,

3x + 18y = 108

18y = 108 - 3x

y = (108 /18) - (3/18)x.

y = (6) - 1x/6.

y = -(1/6)x + 6.

∴ The slope of the given line is (-1/6), thus the slope of the line which is perpendicular is (6).

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Answer:

25 dimes

Step-by-step explanation:

Given

Coins: Nickels (N), Quarters (Q) , and Dimes (D)

$0.05 = 1 nickel, $0.10 = 1 dime  and $0.25 = 1 quarter

So, the amount implies:

\(0.05N + 0.10D + 0.25Q = 5.25\)

The number of coin implies:

\(N + D + Q = 48\)

and

\(N = 7 + Q\)

Required

Determine the number of Dimes

\(0.05N + 0.10D + 0.25Q = 5.25\)

\(N + D + Q = 48\)

\(N = 7 + Q\)

Substitute 7 + Q for N in the first and second equation

\(0.05N + 0.10D + 0.25Q = 5.25\)

\(0.05(7 + Q) + 0.10D + 0.25Q = 5.25\)

\(0.35 + 0.05Q+ 0.10D + 0.25Q = 5.25\)

Collect Like Terms

\(0.10D + 0.25Q+0.05Q = 5.25 - 0.35\)

\(0.10D + 0.30Q = 4.90\) ----- (1)

\(N + D + Q = 48\)

\(7 + Q + D + Q = 48\)

Collect Like Terms

\(D + Q + Q= 48 - 7\)

\(D + 2Q= 41\)

Make Q the subject

\(2Q = 41 - D\)

\(Q = \frac{41}{2} - \frac{D}{2}\)

\(Q = 20.5 - 0.50D\)

Substitute 20.5 - 0.50D for Q in  (1)

\(0.10D + 0.30Q = 4.90\)

\(0.10D + 0.30(20.5 - 0.50D) = 4.90\)

\(0.10D + 0.30*20.5 - 0.30*0.50D = 4.90\)

\(0.10D + 6.15 - 0.15D = 4.90\)

\(0.10D - 0.15D = 4.90 - 6.15\)

\(-0.05D = -1.25\)

Solve for D

\(D = \frac{-1.25}{-0.05}\)

\(D = 25\)

Hence, there are 25 Dimes

The algebraic expression for the scenario is 15 + x = 60

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

Amount saved up = $15

Cost of item = $60

Amount gifted by your grandma = x

The above parameters means that the mathematical statement is an equation statement

So, we have the following representation

Amount saved up + Amount gifted by your grandma = Cost of item

Substitute the known values in the above equation, so, we have the following representation

15 + x = 60

Hence, the algebraic expression is 15 + x = 60

The question does not require that the equation be solved

However, when it is solved, we have:

15 + x = 60

Subtract 15 from both sides

x = 45

So, the amount is 45

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The value of resistor R4 is 0.5 minus the sum of resistors R1, R2, and R3.

We have,

To find the value of resistor R4, we can use Ohm's Law and the formula for calculating the total resistance in a series circuit.

In a series circuit, the total resistance (R_total) is the sum of the individual resistances:

R_total = R1 + R2 + R3 + R4

We are given that a voltage of 50 V is applied and a current of 100 A flows through the circuit.

Using Ohm's Law (V = I * R), we can calculate the individual voltage drops across each resistor:

V1 = I x R1

V2 = I x R2

V3 = I x R3

V4 = I x R4

Since the voltage across each resistor is equal to the total applied voltage (50 V), we can write the following equations:

V1 + V2 + V3 + V4 = 50

Substituting the voltage values using Ohm's Law:

(I x R1) + (I x R2) + (I x R3) + (I x R4) = 50

Simplifying the equation:

I x (R1 + R2 + R3 + R4) = 50

Substituting the given values for the current (I = 100 A) and resistors R1, R2, and R3:

100 x (R1 + R2 + R3 + R4) = 50

Solving for R4:

R1 + R2 + R3 + R4 = 50/100

R4 = 0.5 - (R1 + R2 + R3)

Therefore,

The value of resistor R4 is 0.5 minus the sum of resistors R1, R2, and R3.

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Answer:

2 eggs

Step-by-step explanation:

Use a proportion.

48 cupcakes is to 8 eggs as 12 cupcakes is to x eggs.

48/8 = 12/x

Reduce the left fraction.

6 = 12/x

Multiply both sides by x.

6x = 12

Divide both sides by 6.

x = 2

Answer: 2 eggs

Answer:

you didnt ask a question

Step-by-step explanation:

Answer:what is your question?

Step-by-step explanation:

Answer:

We need the choices, since there are plenty equations with the same value.

Step-by-step explanation:

4/25=0.16

Whichever equation equals 0.16 is your answer.

The Leibnitz-Maclaurin method can be used to solve the differential equation (x+1)y"+(x-1)y¹2y=0. This method assumes a power series solution for y(x) and uses it to determine a recurrence relation for the coefficients. Solving the recurrence relation gives an approximate solution to the differential equation.

Let's assume a power series solution for y(x) of the form y(x) = ∑(n=0 to ∞) aₙxⁿ. By substituting this power series into the differential equation (x+1)y"+(x-1)y¹2y=0 and equating coefficients of like powers of x, we can obtain a recurrence relation for the coefficients aₙ. We differentiate y(x) to find y' and y'' and substitute them into the differential equation. Then, we equate the coefficients of xⁿ term on both sides of the equation. This allows us to determine the recurrence relation involving aₙ and other coefficients. Solving the recurrence relation gives us the values of the coefficients aₙ, which allows us to express y(x) as a power series expansion. This power series provides an approximate solution to the given differential equation.

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Specific humidity is defined as the mass of water vapor per unit mass of dry air. It can be calculated as the ratio of the partial pressure of water vapor (Pv) to the total pressure (Pt) minus the partial pressure of water vapor (Pv).

The specific humidity of a parcel of air is a measure of the amount of water vapor in the air. It is defined as the mass of water vapor per unit mass of dry air. The specific humidity can be calculated using the following equation:

specific humidity = Pv / (Pt - Pv)

where:

Pv is the partial pressure of water vapor

Pt is the total pressure

The partial pressure of water vapor is the pressure that would be exerted by the water vapor if it were the only gas in the air. The total pressure is the sum of the partial pressures of all the gases in the air.

The specific humidity can be used to calculate the relative humidity, which is a measure of how close the air is to being saturated with water vapor. The relative humidity is calculated using the following equation:

relative humidity = Pv / Psat

where:

Psat is the saturation pressure of water vapor

The saturation pressure of water vapor is the pressure at which the air is saturated with water vapor. The saturation pressure increases with temperature.

The specific humidity and relative humidity are both important measures of the amount of water vapor in the air. The specific humidity is a more direct measure of the amount of water vapor, while the relative humidity is a measure of how close the air is to being saturated with water vapor.

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The table shows the number of games a team won and lost last season with a ratio of win to loss as 3:2. Therefore the tool most appropriate for use is a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss.

What is ratio?

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

To calculate a win-to-loss ratio, divide the number of wins by the number of losses.

According to the given data:

Greg is creating a simulation, using previous year’s wins and losses, to foretell the team's conclusion.

Wins in the last season = 24

losses in the last season = 16

Ratio of wins and losses = 24:16 = 3:2

Chances of the team winning out of 5 matches is 3 and losing is 2.

The device which is most suitable for application in a simulation that implements the data is a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss.

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Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.

Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

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The general solution for the differential equation: -2ty 4e^-t^2 is y = √(π^3) * e^(t^2) * erf(t).

To find the general solution of the given differential equation, we'll use the method of integrating factors. The differential equation is:

-2ty + 4e^(-t^2) = 0

To solve this, we can rewrite the equation in standard form:

y' + (-2t)y = 4e^(-t^2)

The integrating factor (denoted as μ) for this differential equation is given by:

μ = e^(∫(-2t) dt) = e^(-t^2)

Now, we'll multiply both sides of the equation by the integrating factor:

e^(-t^2)y' + (-2t)e^(-t^2)y = 4e^(-t^2)e^(-t^2)

Simplifying this equation, we get:

(d/dt)(e^(-t^2)y) = 4e^(-2t^2)

Now, we can integrate both sides with respect to t:

∫(d/dt)(e^(-t^2)y) dt = ∫4e^(-2t^2) dt

Integrating the left side yields:

e^(-t^2)y = ∫4e^(-2t^2) dt

The integral on the right side is not easily solvable in terms of elementary functions. However, we can express the solution using the error function (erf), which is a special function often used in the context of integrating Gaussian distributions. The integral can be rewritten as:

e^(-t^2)y = 2√π * ∫e^(-2t^2) dt = 2√π * ∫e^(-t^2) e^(-t^2) dt

This integral can be expressed in terms of the error function:

e^(-t^2)y = 2√π * (1/2) * √(π/2) * erf(t)

Simplifying further:

e^(-t^2)y = √(π^3) * erf(t)

Finally, solving for y:

y = √(π^3) * e^(t^2) * erf(t)

Therefore, the general solution of the given differential equation is:

y = √(π^3) * e^(t^2) * erf(t)

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Answer:

y ≤ -3x - 3

Step-by-step explanation:

The graph crosses the y axis at -3.  The slope is -3.  (0, -3) .  From that point do down vertical 3 spaces and horizontally 1 space.  You will be at the point (1,-6)  Draw a line to join those 2 points.  The inequality is ≤ that means the solutions are the points on the line and below the line.  This is shown in the pink shading.

y ≤ -3x - 3

Step-by-step explanation:

The graph crosses the y-axis at -3.  The slope is -3.  (0, -3) .  From that point do down vertical 3 spaces and horizontally 1 space.  You will be at the point (1,-6) Draw a line to join those 2 points.  

The inequality is ≤ which means the solutions are the points on the line and below the line.  This is shown in the pink shading.

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We have a square garden of 400 square foot.

The area of a square is:

where x: side length.

In this case:

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

Answer: the fencing will cost a total of $128.40

Answer:

their total collected is $135.45

Step-by-step explanation:

travis collect 20% more than Jessica

if travis collect $43 then

20% of 43

43 × 20 ÷ 100 = $8.6

Jessica collected $8.6 less than travis

$43 - $8.6 = $34.4

and Robin collect 35% more than travis

35% of 43

43 × 35 ÷ 100 = $15.05

therefore Robin collect $15.05 more than travis

$43 + $15.05 = $58.05

their total collected

Jessica collected $34.4

robin collected $58.05

travis collected $43

total

$34.4 + $58.05 + $43 = $135.45

Answer:X(2,-3)Y

Step-by-step explanation:

Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

The equals sign (=) must appear in an equation. You can think of an equation as having a left and a right side since there will be a mathematical expression on either side of it. Consider an equation to be a set of scales. Although you can use different amounts on either side, for it to be solved, each side must be equally balanced .An unknown will always be present in an algebraic equation. This is symbolized by a symbol, such x, y, or z.

Here,

We must calculate the product of 3x(\(x^{2}\) + 4).

In light of the query

Follow all of the instructions listed below to obtain the equation's product.

Equation; 3x(\(x^{2}\) + 4).

Then,

The product of the equation is,

=>3x(\(x^{2}\) + 4).

=>3\(x^{3}\) + 12x

Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

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The measure of the central angle that was used when cutting the pizza to the nearest tenth is 0.7 radians.

We are given that

Diameter of pizza =d=18 inches,

hence radius of circular pizza =r\(=\frac{\mathrm{d}}{2}=\frac{18}{2}=9$\) inches,

Also, the arc length of a slice of pizza =L=6.5 inches.

Since we know that

Equation 1 where \($\theta$\) is measured in radians.

\(& =\frac{6.5}{9} \\\)

\(& =\frac{65}{90} \\\)

\(& =\frac{13 \times 5}{18 \times 5} \\\)

\(& =\frac{13}{18} \\\)

\(& =0.7 \text { radians }\end{aligned}\)

Therefore,  the measure of the central angle to the nearest tenth is 0.7 radians.

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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We are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

The point estimate for the difference in proportions between France and the United States is:

p₁ - p₂ = (60/120) - (26/50) = 0.5 - 0.52 = -0.02

We can use the following formula to calculate the standard error of the difference in proportions:

SE = √(p₁ * (1 - p₁) / n₁ + p₂ * (1 - p₂) / n₂)

where n₁ and n₂ are the sample sizes.

SE = √((0.5 * 0.5 / 120) + (0.52 * 0.48 / 50))

SE = 0.0936

To construct a 90% confidence interval, we can use the formula:

(point estimate) ± (critical value) * (standard error)

The critical value for a two-sided 90% confidence interval with 169 degrees of freedom (calculated as df = (p₁ * n₁ + p₂ * n₂) / (p₁ + p₂)) can be found using a t-distribution table or calculator.

For a 90% confidence level, the critical value is approximately 1.656.

Using these values, the 90% confidence interval for the difference in proportions is:

-0.02 ± 1.656 * 0.0936

which simplifies to:

-0.1783 to 0.1383

Therefore, we are 90% confident that the true difference in proportions between France and the United States falls between -0.1783 and 0.1383.

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The correct answer is option O: 5 V.

To determine the average voltage (Vavg) given a peak-to-peak voltage (Vpp) of 10 V, we need to consider the relationship between Vavg and Vpp in an alternating current (AC) waveform.

The average voltage of an AC waveform is related to its peak-to-peak voltage by the formula: Vavg = 0.5 * Vpp.

Applying this formula to the given Vpp of 10 V, we can calculate the Vavg as follows: Vavg = 0.5 * 10 V = 5 V.

The average voltage is equal to half of the peak-to-peak voltage, resulting in an average voltage of 5 V for a Vpp of 10 V.

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As per the estimation method, the best approximation of root of 51 is D. 7.1.

Estimation method:

In math, estimation method gives us an approximate answer and is usually not accurate to more than 1 decimal place. However, it is easy to perform as can be seen under.

Given

Here we need to find the best approximation of the root of 51

In order to solve this one, we have to perform the following steps,

First, we have to find a perfect square that is smaller than 51 and one that is bigger than 51. In this case, 7 and 8 will work as their squares are 49 and 64.

Now, we have to writing in terms of inequality

=> 7<√51<8 = 49<51<64

Then we have to Multiply by 10 and write in terms of square roots

=> √4900<√5100<√6400

Now, we have to move closer to inequality

=> √5041<√5100<√5184 = 71<10√51<72

=>  7.1<√51<7.2

Then by taking average of upper and lower limits, we get

=> (7.1 + 7.2)/2 = 7.15

Therefore, we can estimate the square root of 51 is approximately 7.1.

Therefore, option D is correct.

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Example that demonstrates the contrapositive of the limit comparison test. Let's consider a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges.

Let's define the series an and bn as follows:
- an = 1/\(n^2\)
- bn = 1/n

Now, let's examine the limit:
lim(n→∞)(an/bn) = lim(n→∞)((1/\(n^2\)) / (1/n))

To simplify the limit expression, we multiply both numerator and denominator by \(n^2\):
lim(n→∞)(\(n^2\)(1/\(n^2\)) / \(n^2\)(1/n)) = lim(n→∞)(n/\(n^2\)) = lim(n→∞)(1/n)

As n approaches infinity, the limit becomes:
lim(n→∞)(1/n) = 0

Now, let's check the convergence of the series an and bn:
- an = Σ(1/\(n^2\)) is a convergent p-series with p = 2 > 1.
- bn = Σ(1/n) is a divergent p-series with p = 1.

Thus, we have provided an example of a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges. This demonstrates the contrapositive of the limit comparison test, as requested.

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To minimize the cost of the fence, we need to find the dimensions of the rectangular field that will result in the smallest perimeter. Let's assume the length of the rectangle is x feet.

Since we want to divide the field in half with a fence parallel to one of the sides, the width of the rectangle will also be x feet.

The area of the rectangular field is given as 37.5 million square feet, so we have the equation x * x = 37.5 million.

Simplifying, we find x² = 37.5 million.

To minimize the cost, we need to minimize the perimeter of the rectangular field. The perimeter is given by P = 2x + 2x = 4x.

Using the equation x² = 37.5 million, we can solve for x by taking the square root of both sides. This gives us x = √(37.5 million).

Substituting this value of x into the perimeter equation, we get P = 4 * √(37.5 million).

Therefore, the lengths of the sides of the rectangular field that will minimize the cost of the fence are √(37.5 million) feet and √(37.5 million) feet.

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Generally, a quotient of polynomials is decomposed into at least two partial fractions.

Any valid quotient of polynomials may be broken down into its component parts. When the degree of the numerator is lower than the degree of the denominator, a function is considered to be properly rational. Expressing a valid rational function as the sum of smaller fractions with certain denominators is the first step in breaking it down into partial fractions.

This decomposition can be helpful in a variety of mathematical situations, such as when solving equations involving rational functions or integrals. The denominator's factors determine the partial fractions' form. In particular, the rational function may be broken down into partial fractions with denominators matching to those factors if the denominator of the correct rational function can be factored into linear and/or quadratic irreducible components.

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The coordinates of A' and C' will not be the same. The perimeter and area of ΔA'B'C' will be the same. The measure of ∠B' and the slope of A'C' will be the same.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given translation,

2 units down and 3 units right

The coordinate will change as,(x,y) → (x+3,y-2) so it will change.

The transformation consists only of linear transformation no rotation exists thus area and perimeter will remain the same.

The slope and angle are unchanged irrespective of any transformation.

Hence "A' and C' will not have the same coordinates. The boundaries and surface area of ΔA'B'C' will be identical. The slope of A'C' and the measure of ∠B will be equal.".

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Answer:

the answer is 27 if you have to evaluate

"        "          "  3 cubed if you have to simplify

Step-by-step explanation: