The width of a plastic box is 2 ft longer than the height. the length is 2 ft longer than the height . the volume is 60 ft ^3 what are the dimensions of the box

Answer:

A

Step-by-step explanation:

remember, an empty dot means exclusive, a filled dot means inclusive.

so, -2 is the lower limit for g but is not included as valid value.

and +4 is the upper limit for g and is included as valid value.

Answer:

C. 42x² - 3x - 9

Step-by-step explanation:

Area:

(7x + 3) (6x - 3)

7x(6x - 3) + 3(6x - 3)

42x² - 21x + 18x - 9

42x² - 3x - 9

Yes, it is possible to find a limit at a location where there is a hole in a graph , such as where a point has been removed or where a graph abruptly stops.

This is because the limit of a function is defined as the value that the function approaches as x approaches a given value. In the case of a hole in the graph, the limit is found by looking at the limit from the left, the limit from the right, and the general limit.

The limit from the left is the limit of the function as x approaches the hole from the left. The limit from the right is the limit of the function as x approaches the hole from the right. The general limit is the overall limit of the function at the point where the hole appears. By considering all of these limits, it is possible to determine the overall limit of the function at the point where the hole is present.

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When we rewrite polynomial expressions, the representations may look different but still represent the same expression. A similar transformation can be seen in mathematical concepts like factoring and simplifying fractions.

For example, when factoring a quadratic polynomial expression like ax² + bx + c, we may rewrite it as (px + q)(rx + s), where p, q, r, and s are constants. Though the expressions look different, they still represent the same polynomial.

Similarly, when simplifying fractions, we rewrite them in a different, more concise form, but their values remain the same. For example, the fraction 4/6 can be simplified to 2/3 by dividing both the numerator and the denominator by their greatest common divisor, 2. Though the expressions 4/6 and 2/3 look different, they represent the same value.

In both cases, we are using algebraic operations to rewrite expressions, and while their representations change, the underlying meaning or value remains the same.

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Answer:

and? obviously bc 3 isnt a even number so then the answer wont be even

Answer:

The final total including tax is 838.5

The sale tax is 58.5

Step-by-step explanation:

Answer: (4x-1)(3x+2)

Step-by-step explanation:

do u know how to factor?

Answer: (4y - 1)(3y + 2)

Step-by-step explanation:

\(12y^{2} +5y-2\\=(4y - 1)(3y + 2)\)

You can also do it the long way using the quadratic formula:\(\frac{-b+-\sqrt{b^{2} -4ac} }{2a}\), where a = 12, b = 5, and c = -2.

Answer:

0.33333333333

Step-by-step explanation:

Answer:

A. 9 quarts

Step-by-step explanation:

Since he wants to triple the recipe you would multiply the 12 cups by 3 to get 36 cups and then you would convert the cups into quarts and 36 cups is equal to 9 quarts

Answer:

31/100. it cannot be simplified.

Step-by-step explanation:

The function has an inverse that is also a function is g(x)=2x-3

A function that can turn into another function is known as an inverse function or anti function. In other terms, the inverse of a function "f" will take y to x if any function "f" takes x to y. The inverse function is designated by f⁻¹ or F⁻¹ if the function is written by f or F. Here, (-1) should not be confused with an exponent or an inverse.

A function takes in values, applies specific procedures to them, and produces an output. The inverse function works, agrees with the outcome, and returns to the initial function.

The solution in which x and y have been reversed is known as an inverse function.

The vertical line test determines whether a function succeeds or fails when you solve for y once more.

1. Here g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to;

\(y=\frac{x-3}{2}\)

This is a line and is a function;

\(y=\frac{x}{2} +\frac{1}{2}\)

2. k(x) = -9x² has the inverse x = -9y² which simplifies to;

\(y=\sqrt{x/(-9)}\)

This is a function but only for certain values of x.

3. f(x) = |x+2| is an absolute value function.

Not all absolute value functions have function-based inverses.

4. A function's inverse does not exist for the equation w(x) = -20.

The function therefore has a negative that is also a function, which is

g(x)= 2x – 3.

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Answer:

8

Step-by-step explanation:

The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

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The percentage is 10% who did not complete the marathon. It can be calculted using the formula of percentage.

What is percentage?

It is way of writting any number as a fraction of 100. Its symbol is % . It is a dimention less qunatity.

Total participants = 270

Number of participants completed the marathon = 243

Number of participants gave up = 19

Number of participnats disqualified = 8

Total number of participants who did not completed the merathon is the sum of participants who gave up and who did not qualified = 19 + 8 =27

Now, percentage of participants who did not complete the marathon is,

\(\frac{\text{Number of participants did not complete}}{\text{Total participants}}\times100\\=\frac{27}{270}\times100\\=10\%\)

Hence, 10% did not complete the marathon.

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Answer:

\( log_{b}(x) - log_{b}(y) \)

Luis will have approximately $852,773.67 in his retirement account at the time of his retirement.

To find out how much Luis will have in his retirement account at the time of his retirement, we can use both the compound interest formula and the annuity formula.

First, let's calculate the future value of Luis's initial investment of $150,000 using the compound interest formula.

The compound interest formula is:

\(A = P(1 + r/n)^(nt)\)

Where:
A = the future value of the investment
P = the principal amount (initial investment)
r = the annual interest rate (as a decimal)
n = the number of times that interest is compounded per year
t = the number of years

In this case, P = $150,000, r = 4.5% (or 0.045 as a decimal), n = 4 (quarterly compounding), and t = 20 years.

Using these values in the formula, we can calculate the future value:

\(A = $150,000(1 + 0.045/4)^(4 * 20)\)

Simplifying the equation:

\(A = $150,000(1.01125)^(80)\)

Calculating the exponent:

A ≈ $150,000(2.58298)

A ≈ $387,447

So, Luis's initial investment of $150,000 will grow to approximately $387,447 after 20 years.

Now, let's calculate the future value of Luis's quarterly contributions of $2000 using the annuity formula. The annuity formula is:

\(A = P((1 + r/n)^(nt) - 1)/(r/n)\)

Where:
A = the future value of the annuity
P = the periodic payment
r = the annual interest rate (as a decimal)
n = the number of times that interest is compounded per year
t = the number of years

In this case, P = $2000, r = 4.5% (or 0.045 as a decimal), n = 4 (quarterly compounding), and t = 20 years.

Using these values in the formula, we can calculate the future value:

\(A = $2000((1 + 0.045/4)^(4 * 20) - 1)/(0.045/4)\)

Simplifying the equation:

\(A = $2000(1.01125)^(80)/(0.01125)\)

Calculating the exponent:

A ≈ $2000(2.58298)/(0.01125)

A ≈ $465,326.67

So, Luis's quarterly contributions of $2000 will grow to approximately $465,326.67 after 20 years.

Finally, let's add the future value of Luis's initial investment and the future value of his quarterly contributions to find out how much he will have in his retirement account at the time of his retirement:

Total future value = $387,447 + $465,326.67

Total future value ≈ $852,773.67

Therefore, Luis will have approximately $852,773.67 in his retirement account at the time of his retirement.

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As per the given fee details, the monthly maintenance fee is $3.25

Here we have given that Alyssa’s bank charges $0. 25 for each check written, $0. 15 per ATM transaction, and a monthly fee to maintain a checking account.

While we looking into the given table we have identified that

Number of ATM transaction = 23

Then the fee for ATM transaction is calculated as,

=> Fee of ATM transaction = 23 x 0.15 = $3.45

Then the number of check written is 17.

And the fee for the check written is calculated as,

=> Fee for Check written = 17 x 0.25 = $4.25

Here we know that the Total checking account fees $10. 95 and let us consider that x be the amount for maintenance fee, then it can be written as,

=> $3.45 + $4.25 + $x = $10.95

=> $7.7 + $x = $10.95

=> x = 10.95 - 7.7

=> x = $3.25

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The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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According to the question, the statement "In an alternating treatments design, the baseline is implemented for a long period of time and then the treatment is implemented for a long period of time" is false.

In an alternating treatments design, the baseline and treatment conditions are alternated in a systematic manner. This design is used to compare the effects of different treatments or interventions on a target behavior. The key characteristic of the alternating treatments design is that the baseline and treatment conditions are implemented in a rapid and alternating fashion, rather than for long periods of time.

During an alternating treatments design, multiple conditions (baseline and treatment) are applied interchangeably across different time periods, often within the same session or day. This allows for the comparison of the effects of the different conditions on the target behavior within a relatively short timeframe.

The purpose of this design is to determine the differential effects of the treatments by directly comparing their effects in a more controlled manner. By rapidly alternating between conditions, it becomes possible to evaluate the immediate impact of the treatment and establish a causal relationship between the treatment and the observed changes in behavior.

Therefore, the statement "In an alternating treatments design, the baseline is implemented for a long period of time and then the treatment is implemented for a long period of time" is false.

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The equation that can be used to find h, the number of hours Aaron can rent the bike, is: 15h + 3 = 65, where h represents the number of hours.

To find the number of hours Aaron can rent the bike, we need to consider the cost per hour and the additional fee for the helmet. The cost per hour is $15, and the additional fee for the helmet is a one-time payment of $3 for the entire ride.

Let's break down the equation step by step:

Cost per hour: 15h

Additional fee for the helmet: 3

The total cost of renting the bike for h hours, including the helmet fee, should be equal to Aaron's budget, which is $65.

Therefore, the equation becomes:

15h + 3 = 65

To find the value of h, we solve the equation:

15h = 65 - 3

15h = 62

h = 62/15

h ≈ 4.13

Aaron can rent the bike for approximately 4.13 hours. Since it's not possible to rent a bike for a fraction of an hour, Aaron would round down to the nearest whole number. Therefore, he can rent the bike for 4 hours.

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Answer:

Step-by-step explanation:

6) 3750

7) 244

Answer:

Step-by-step explanation:

Answer:

the equation of yours is wrong. the equation would be y=1/3x.

Step-by-step explanation:

here's the graph. hope it helps.

Using a moving average of order p = 3, a forecast for time period 6 is 46.

The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.

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Rounding 0.4571 to the nearest hundredth will be 0.46.

To round the nearest hundredth, look at the number that is three places to the right of the decimal point.  If the number is greater than or equal to 5, then round up.  If the number is less than 5, then round down.

0.4571

7 ≥ 5

Therefore, we round up.

0.4571 --> 0.46

Therefore, 0.4571 rounded to the nearest hundredth is 0.46.

For example, if the number is 123.456, the digit in the thousandths place is 6. Since 6 is greater than 5, 123.456 rounded to the nearest hundredth would be 123.46.

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Round 0.4571 to the nearest hundredth.

If a researcher finds that the probability of a word recognition program correctly interpreting a hand-written word is 9/10 . The number of  words that  the researcher expect the program to interpret correctly out of 40 words is 36 words.

Using this formula to find the number of words

Number of words = Probability of correctly interpreting a hand-written word × Expected words

Let plug in  the formula

Number of words = 9/10 × 40

Number of words = 36 words

Therefore we can conclude that the number of words is 36 words.

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Answer:

-1.2 Hope this helps!

Step-by-step explanation:

Answer:

Camille:\(y=\frac{n}{2} +\frac{3}{2}\)

Olivia: \(y=x+4\)

Step-by-step explanation:

hope it helps have a great day

Answer:

Taryn charges $12.50 per lawn.

Answer: 12.50 per lawn

Step-by-step explanation:

Each of the measurements made must contain the correct number of significant figures, in order to provide more accurate values.

Significant figures, as their name mentions, are those figures that have meaning or validity for the type of measurement that is made. Although in large elements they may not be too necessary, in small elements they are crucial.

Due to the aforementioned, if the measurements are being taken from elements of small sizes, it is possible that all the significant figures available are required, so that the measurement and subsequent calculations are as accurate as possible.

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Answer:23.75

Step-by-step explanation: 475 x 0.05