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A gym membership is $39.99 per month plus a one-time registration fee of $85. If i pad $684.85 for my gym membership, how many months was I a member?

The equation that represents the gallons of paint used by Cj to paint his room is y = \(1\frac{3x}{5}\).

In mathematics, an equation is when two or more expressions are joined by an equal to sign.

The mathematical operations that would be used to determine the equation are division and multiplication. Division is the mathematical operation that is used to determine the quotient of two or more numbers. Multiplication is the process of determining the product of two or more numbers.

Gallons used to paint in x hours = (minutes in a hour x gallons used in 15 minutes) / number of minutes

(60 x \(\frac{1}{3}\)) / 15 = \(\frac{20}{15}\) = \(1\frac{5}{15}\) =  \(1\frac{3x}{5}\). gallons per hour

y = \(1\frac{3x}{5}\).

Here is the complete question:

CJ was painting his apartment. In 15 minutes, CJ had used 1/3 gallon of paint. Write an equation that represents the gallons of paint used, y, in x hours.

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The absolute value of y, and the square root of (xy to the power of z) is \(xy^{z}\)

Floats are a type of number representation that allows us to store very large or very small numbers with a high degree of precision. In computer programming, it is often used to represent real numbers, such as decimals.

In this problem, we are given three float numbers x, y, and z and asked to perform various mathematical operations with them.

Let's start with the first operation: x to the power of z. This means that we want to find x raised to the power of z. This can be written mathematically as xᵃ.

The next operation is x to the power of (y to the power of z). This means that we want to find x raised to the power of y raised to the power of z. This can be written mathematically as x(yᵃ).

The third operation is the absolute value of y. The absolute value of a number is its magnitude, or distance from zero, regardless of its sign. For example, the absolute value of -5 is 5 and the absolute value of 5 is 5. Mathematically, it can be written as |y|.

Finally, we have to find the square root of (xy to the power of a). The square root of a number is the value that, when multiplied by itself, gives the original number.

The square root of 25 is 5 because 5 * 5 = 25. This can be written mathematically as

=> √(xyᵃ).

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The weakest base is C5H5N (pyridine) with Kb = 1.7 × 10^(-9). The correct answer is C.

The strength of a base is determined by its ability to accept or donate a pair of electrons. In general, a stronger base has a higher tendency to accept or donate electrons compared to a weaker base.

In the given options, the bases are characterized by their Kb values. Kb (base dissociation constant) represents the equilibrium constant for the reaction of a base with water to form the corresponding conjugate acid and hydroxide ions.

Comparing the Kb values provided:

A smaller Kb value indicates a weaker base because it corresponds to a lower concentration of hydroxide ions in solution. Therefore, in this case, C5H5N (pyridine) with a Kb value of 1.7 × 10^(-9) is the weakest base among the given options. The correct answer is C.

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A retirement savings goal of $1,060,123 by the age of 58, while starting at the age of 30 and making monthly deposits of $400, an annual interest rate of 3.69% compounded monthly and agrees to make monthly payments over a period of 5 years.

a) To determine the required annual interest rate to reach the retirement savings goal, the Rate function can be used in financial calculations. The known values in this scenario are the starting age (30), the retirement age (58), the desired savings amount ($1,060,123), and the monthly deposits ($400). By using the Rate function, the interest rate required to achieve the goal can be calculated. The formula for the Rate function is Rate(Nper, PMT, PV, FV). In this case, Nper represents the number of periods (in years), PMT represents the monthly deposit amount, PV represents the present value (initial savings), and FV represents the future value (retirement savings goal). By plugging in the given values, the function can determine the required interest rate.  

b) To calculate the monthly payments for a car loan, the known values are the borrowed amount ($40,000), the annual percentage rate (APR) of 3.69%, and the loan term of 5 years (or 60 months). The monthly interest rate is calculated by dividing the APR by 12 (to reflect monthly compounding). Using the loan formula for monthly payments, which is PMT = (P * r * (1 + r)^n) / ((1 + r)^n - 1), where PMT represents the monthly payment, P represents the principal amount (borrowed amount), r represents the monthly interest rate, and n represents the number of periods (in this case, the total number of months).  

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When both groups are shifted to a situation in which they earn an alternative reward after being trained to navigate a runway for food, the group that received three food pellets will continue to perform the task at a high level while the group that received one food pellet will experience difficulty.

It is known that rats have a natural preference for higher rewards. As a result, the group that received three pellets will be more motivated to complete the task since they have already tasted a higher reward. Therefore, they will continue to perform at a high level in the new environment.

On the other hand, the group that received only one pellet may find it challenging to adapt to the new situation since they are now receiving a lower reward. As a result, they may struggle to complete the task, and their performance may decrease.

In conclusion, the group that received three pellets will perform better than the group that received one pellet when both groups are shifted to a situation in which they earn an alternative reward. This is because the rats have a natural preference for higher rewards.

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A polygon is called non-convex if there are "dents" or indentations in it, where the internal angle is greater than 180 degrees.

In other words, a non-convex polygon is a polygon whose line segments intersect, creating an interior angle greater than 180 degrees. This is in contrast to a convex polygon, where all of the interior angles are less than 180 degrees and none of the line segments intersect.

Non-convex polygons can have a variety of shapes and sizes, and can be composed of any number of sides. However, they are generally more difficult to work with mathematically than convex polygons, and often require more advanced techniques to analyze and understand their properties.

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Answer: The answer could be 28 but I need to know what is the length and what is the height.

Step-by-step explanation:

I will just name the points for simplicity:

A - (3, -5)

B - (7, -5)

C - (7, 2)

D - (3, 3)

A to B - 4

B to C - 7

C to D -  4.1231

***

Distance (d) = √(3 - 7)^2 + (3 - 2)^2

= √(-4)^2 + (1)^2

= √17

= 4.1231056256177

***

D to A - 8

4 * 7 = 28

Answer:

x ≈ 8.0

Step-by-step explanation:

Using the tangent of the angle is equal to the opposite over the adjacent

tan(37º) = 6/x

x = 6/tan(37º)

x=7.96226892972

Answer:

30

Step-by-step explanation:

Ah okay, so this is a simple proportion.

If 1 rose = 6 tulips, then you just multiply however many roses you have by 6. So in your case, 5 x 6 = 30. So in short, for every 5 roses Genny uses, she will use 30 tulips.

Answer:

30 tulips

Step-by-step explanation:

This question gives us the amount of tulips for one rose.

Let us make 1 rose as r and a tulip is t. Now write an equation for the tulips.

Tulip = 6r

If we have 5r:

5r = 6t x 5

Solve!

5r = 30t

5 roses = 30 tulips

Hope this helps :)

The correct option- The perpendicular bisector of AB has the slope -1/3.

The difference between the change in y-values and the change in x-values is known as the slope of a line. This figure represents the slope of a line.

Formula for slope m = (y2 - y1)/(x2 - x1)

Line segment AB coordinates :

A (1,5) and B (9,17).

Slope m1 = (17 - 5)/(9 - 5)

m1 = 12/4

m1 = 3

The line perpendicular to AB.

Let the slope of m2.

The relation between the slopes of perpendicular lines:

m1 x m2 = -1

3 x m2 = -1

m2 = -1/3.

Thus, the slope of the line perpendicular to the given line AB is found as:  -1/3.

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Complete question:

AB in the coordinate plane has endpoints with coordinates A (1,5) and B (9,17). Which of the following is true?

The perpendicular bisector of  AB has slope 3/2.

The perpendicular bisector of AB has slope -2/3.

The perpendicular bisector of AB  has slope -2/3.

The perpendicular bisector of AB has slope -1/3.

Answer:

1oz =29.5735ml

Step-by-step explanation:

Multiply your fluid ounces number by 29.5735 to convert US fluid ounces to millilitres. Multiply your number by 28.4131 if you're using British Imperial fluid ounces as your unit of measurement. The British Imperial ounce is somewhat smaller than the US fluid ounce.

Even though one fluid ounce is slightly less than 29 millilitres, the numbers on nutrition labels are rounded up to 30. In the US, a fluid ounce is a unit of volume. Both fl oz and fluid ounces are acceptable abbreviations for fluid ounces.

The ratio of 1 fluid ounce to 29.57353193 millilitres is known as the ounce-to-millilitre conversion factor.

An ounce is a unit of weight that is equal to 480 grains, or 1/12 pound, in the troy and apothecaries' systems and 1/16 pound (437 1/2 grains) in the avoirdupois system.

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The minimum weight a bag of dog food could be and remain in the top 10% of all bags filled is 32.0625 kilograms.

To calculate the minimum weight a bag of dog food could be and remain in the top 10% of all bags filled, we need to first determine the z-score at which 90% of the bags are below. To do this, we use the z-score formula to calculate the z-score where 90% of the bags are at or below a certain weight. The z-score formula is z = (x - μ) / σ, where x is the value, μ is the population mean, and σ is the population standard deviation. In this case, the population mean is 30 kilograms and the population standard deviation is 1.25 kilograms. Using the z-score formula, we get a z-score of 1.6. Then, using the inverse z-score formula, we can calculate the minimum weight of a bag of dog food to be in the top 10%: x = μ + (z * σ), where x is the value, μ is the population mean, z is the z-score, and σ is the population standard deviation. In this case, x = 30 + (1.6 * 1.25), which equals 32.0625 kilograms. Therefore, the minimum weight for a bag of dog food

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9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm

10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm

11) Based on Question 9, MN=13.5 cm

If g → h is a trivial homomorphism, then the orders of g and h are coprime. Let's explain why this is true.

A homomorphism from a group G to a group H is a function φ that preserves the group operation. That is, for all g, h ∈ G, φ(gh) = φ(g)φ(h). A trivial homomorphism is a homomorphism that maps every element of G to the identity element of H (the element that leaves every element of H unchanged when it is used as a multiplier).

That is, φ(g) = eH for all g ∈ G, where eH is the identity element of H.

If g → h is a trivial homomorphism, then h(g) = eH for all g ∈ G. This means that every element of G is mapped to the identity element of H.

Therefore, the order of h must be a factor of the order of G. However, if the orders of g and h had a common factor, then there would be elements of G that are mapped to elements of H that are not the identity element.

This would contradict the fact that g → h is a trivial homomorphism. Hence, the orders of g and h must be coprime.

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Answer:

boys = 250

girls = 150

Step-by-step explanation:

5g = 3b       eq. 1

g + b = 400       eq. 2

g = girls

b = boys

From the eq. 2

g = 400 - b

Replacing this last eq. on eq. 1:

5(400-b) = 3b

5*400 + 5*-b = 3b

2000 - 5b = 3b

2000 = 3b + 5b

2000 = 8b

2000/8 = b

250 = b

From eq. 2

g + 250 = 400

g = 400 - 250

g = 150

Check:

from eq. 1

5*150 = 3*250  = 750

false :) thats ur answer

a. The range of acceptable lengths for the 1-inch nails manufactured by the company is from 0.96 inches to 1.04 inches. b. Out of the 10,000 nails produced each week, approximately 95% or 9,500 nails are expected to fall within this acceptable range.

To determine the range of acceptable lengths for the nails, we need to consider the mean and standard deviation of the distribution. Given that the mean length is 1 inch and the standard deviation is 0.02 inches, we can calculate the acceptable range.

Since the company considers only nails within 2 standard deviations to be acceptable, we multiply the standard deviation by 2 and subtract and add the result from the mean.

Thus, the lower limit of the acceptable range is 1 - (2 * 0.02) = 0.96 inches, and the upper limit is 1 + (2 * 0.02) = 1.04 inches.

In terms of the number of acceptable nails, we can use the concept of the normal distribution. The majority of the nails (approximately 95%) will fall within 2 standard deviations of the mean. Therefore, out of the 10,000 nails produced each week, we can expect around 95% or 9,500 nails to be within the acceptable length range of 0.96 to 1.04 inches.

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The solutions to the equation \(\(x^4 - 18x^2 + 32 = 0\)\) are \(\(x = \pm \sqrt{2} \pm 3i\)\).

To solve this equation, we can use a quadratic substitution. Let's set \(\(u = x^2\)\). Substituting this into the equation, we get \(\(u^2 - 18u + 32 = 0\)\). Now we can solve this quadratic equation for \(\(u\)\).

Factoring the quadratic, we have \(\((u - 2)(u - 16) = 0\)\). Setting each factor equal to zero, we find \(\(u = 2\)\) or \(\(u = 16\).\)

Since we substituted \(\(u = x^2\)\), we can substitute back to find \(\(x^2 = 2\)\) or \(\(x^2 = 16\)\). Taking the square root of both sides, we get \(\(x = \pm \sqrt{2}\)\) or \(\(x = \pm 4\)\\\).

Therefore, the solutions to the equation \(\(x^4 - 18x^2 + 32 = 0\)\) are \(\(x = \pm \sqrt{2}\)\) and\(\(x = \pm 4\)\). However, we need to remember that we initially set \(\(u = x^2\)\), so \(\(x\)\) can be positive or negative.

This gives us the final solution: \(\(x = \pm \sqrt{2} \pm 3i\)\).

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x+3y=15

divide by 15

\(\frac{x}{3} +\frac{y}{5} =1\)

which is of the form

\(\frac{x}{a} +\frac{y}{b} =1\)

where a and b are x & y intercepts.

x-intercept=3

y-inntercept=5

Answer:

answer:70+2=72 lixtoo

If we change the scale of the model to 1 inch = 5 feet, the new model dolphin would be 2 inches long.

The size of the actual dolphin in feet is equal to the size of the model dolphin in inches, multiplied by the scale of the model. Since the scale of the model is 1 inch = 2.5 feet, the size of the actual dolphin in feet is equal to 4 inches * 2.5 feet/inch = 10 feet.

If we change the scale of the model to 1 inch = 5 feet, the size of the new model dolphin in inches is equal to the size of the actual dolphin in feet, divided by the new scale. Thus, the size of the new model dolphin in inches is equal to 10 feet / (5 feet/inch) = 2 inches.

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Answer:

\( \frac{5}{6} \)

Step-by-step explanation:

Out of those 5 sides, we need to be able to see a 3 from a 6 sided dice.

The total will always be your demoninator and since we was looking at sides, we just need a side that has a 3.

C. If there is no variability (all the scores of the variables have the same value), measures of dispersion will equal zero.

Measures of dispersion are used to describe the spread of data. They include the range, variance, and standard deviation. When all the scores of a variable have the same value, there is no spread or variability in the data. This means that the distance between the minimum and maximum value (range) is zero, and the variance and standard deviation are also zero.

In this case, there is no need to calculate measures of dispersion because they will all equal zero. This is because the data points do not differ from each other in any way, and there is no variation to describe. Therefore, when there is no variability in a set of data, measures of dispersion will always equal zero.

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Answer:

There is only one solution set.

Step-by-step explanation:

The set can contain any number of solutions or none.

This is all I know, hope it helps.

Answer:

Step-by-step explanation:

cheetah runs 60 miles/hour

lion runs 50 miles/hour

answer A

Answer:

A. the cheetah is faster by 10 miles

Step-by-step explanation:

If you add the other half hour a lion can run (25 miles) 25+25=50, 60 is greater than 50 by 10.

r = 42 - 3.50m is the equation to represent, r, the amount of money remaining in Shawna's lunch account after she purchases m meals, -3.5 is the slope and 42 is y intercept.

To represent the amount of money remaining in Shawna's lunch account after she purchases m meals, we can use the equation:

r = 42 - 3.50m

r represents the amount of money remaining in Shawna's lunch account.

42 represents the initial amount of money loaded into her account at the start of the school year.

3.50 represents the cost of each meal in the school cafeteria.

m represents the number of meals Shawna has purchased.

Now let's determine the slope and y-intercept of this equation:

The slope represents the rate at which the money in Shawna's account decreases with each meal purchase.

The slope is -3.50, indicating that $3.50 is subtracted from her account for each meal.

The y-intercept represents the initial amount of money in Shawna's account, which is $42.

This is the value of r when m is 0 (before any meals are purchased).

Therefore, the slope is -3.50 and the y-intercept is 42.

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