At​ noon, a tank contained 5 cm of water. After several​ hours, it contained 3 cm of water. What is the percent decrease of water in the​ tank?The percent decrease of water in the tank isenter your response here​%

Answer:

5/15

Step-by-step explanation:

17/15-x/15=12/15

x=5

if my answer helps please mark as brainliest.

Answer:

5/15

Step-by-step explanation:

17/15-x/15=12/15

x=5

Answer:

4 because 2 quarts mean one-forth part of 8 which is 2 she buys 2 quarts of cup means 4 so the cups that will be left are 8-4=4

Answer:

2 cups of orange juice

Step-by-step explanation:

We can expect that about 45.86% of high-risk drivers will be involved in an accident during the first 80 days of the calendar year.

Let X be the number of days between the beginning of the calendar year and the moment a high-risk driver is involved in an accident. We know that X follows an exponential distribution.

Let λ be the rate parameter of the exponential distribution, which represents the average number of accidents per unit of time. We want to find the probability that a high-risk driver is involved in an accident during the first 80 days of the year, given that the probability of an accident in the first 50 days is 0.3.

We can use the cumulative distribution function (CDF) of the exponential distribution to find this probability:

P(X ≤ 80) = 1 - e^(-λ*80)

To solve for λ, we can use the fact that the probability of an accident in the first 50 days is 0.3:

P(X ≤ 50) = 1 - e^(-λ*50) = 0.3

e^(-λ*50) = 0.7

-λ*50 = ln(0.7)

λ = -ln(0.7)/50

λ ≈ 0.0296

Now we can substitute λ into the expression for P(X ≤ 80):

P(X ≤ 80) = 1 - e^(-0.0296*80)

P(X ≤ 80) ≈ 0.4586

Therefore, we can expect that about 45.86% of high-risk drivers will be involved in an accident during the first 80 days of the calendar year.

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The error made in subtracting the two rational expressions 1/(x - 2) - 1/x is that the common denominator is not correctly identified and applied.

To subtract rational expressions, we need to find a common denominator and then subtract the numerators. In this case, the common denominator should be (x - 2) * x. However, the error lies in neglecting the parentheses in the first expression, leading to a miscalculation of the common denominator.

The correct subtraction of the given expressions should be: (x - 2)/(x - 2) - 1/(x * (x - 2)). Simplifying this expression further would result in (x - 2 - 1)/(x * (x - 2)), which can be simplified as (x - 3)/(x * (x - 2)).

Therefore, the error made in the subtraction lies in incorrectly identifying and applying the common denominator, which resulted in an inaccurate calculation of the expression.

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Answer:

  see attached

Step-by-step explanation:

You want a clock face with an angle of 240° between the hour and minute hands.

There are 22 possible locations for the minute hand such that the long arc between the hour and minute hands is 240°. The two of these that do not involve fractions of a second are 4:00 and 8:00.

The next occurrence will be 21 minutes 49 1/11 seconds later. And the one after that will be 43 minutes 38 2/11 seconds later, or 1 hour 5 minutes and 27 3/11 seconds after the first occurrence of the pair.

A clock face illustrating 8:00 is attached. You may need to scale it to your desired radius.

You can set your compass to 2" and draw the clock face circle. The points for 12 and 8 can be located by using the 10:00 position as the center of arcs with the same radius. Where those arcs intersect the original circle are the locations of 12 and 8.

Answer:

4x(x-2y)

Step-by-step explanation:

take out a common factor which is 4x

4x(x-2y)

Answer:

4x (x -2y)

Step-by-step explanation:

\(4x^{2}\) -8xy

to factorize we first have to take out common factors

4x (x -2y)

this is a factorized answer

To decrease the width of the confidence interval, the researcher can take the following steps:

1. Decrease the confidence level: The confidence interval width is inversely proportional to the confidence level. By decreasing the confidence level, the researcher can have a narrower interval. However, it is important to note that decreasing the confidence level also increases the chance of the interval not capturing the true population mean.

2. Increase the sample size: The sample size affects the precision of the estimate. Increasing the sample size reduces the standard error, which leads to a narrower confidence interval. This is because a larger sample provides more information about the population.

Therefore, the researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a narrower interval, providing a more precise estimate of the mean fat content of hen's eggs.

The researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a more precise estimate of the mean fat content of hen's eggs.

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The required dimensions of a rectangular rancher with perimeter for fencing, 3000 feet are equal the 500 feet and 375 feet at maximum area of 3,75,000 ft².

We have a rancher which to construct adjacent, equally sized rectangular pens with the fencing of 3000 feet. Suppose that the rancher need to be fenced in the way shown in the attached figure. Then, the perimeter is 4x + 3y = 3000

=> x \( =\frac{3000 - 3y}{4} \).

The area of rectangle is represented by A=L × W --(1) , where L and W are dimensions of rectangles. The total area will be A = 2× x × y --(2)

=> A = 2× (\(\frac{3000 - 3y}{4}\))× y

= ( \( 1500 - \frac{3y}{2} \))y

= \( 1500y - \frac{3y²}{2} \)

Now, differentiate above area function, with respect to y, and equate to 0, for determining the critical points on the graph, \(\frac{dA}{dy} \) = A'(y) =\( 1500 - \frac{6y}{2} \) = 0

=> y = \(\frac{1500}{3} = 500 \)

Also, x \( =\frac{3000 - 3× 500}{4} \).

\( =\frac{1500}{4} = 375 \).

Maximum area = 375 × 500 × 2 = 375000 ft². Hence, the dimensions that will give the maximum area are 500 feet and 375 feet.

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Complete question : attached figure complete the question.

9. The solution is (x, y) = (4/3, -5/3).

10. The solution is (x, y) = (1, 2).

The coefficient matrix is:

| -1  5 |

|  1 -2 |

The determinant of the coefficient matrix is:

|-1  5 |      |-2  5 |

| 1 -2 |  = (-1)(-2) - (5)(1) = 3

The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:

| 2  5 |

|-2 -2 |

The determinant of this matrix is:

| 2  5 |      | -2  5 |

|-2 -2 |  = (2)(-2) - (5)(-2) = -4 + 10 = 6

|-1  2 |

| 1 -2 |

The determinant of this matrix is:

|-1  2 |     | 1  2 |

| 1 -2 | = (-1)(-2) - (2)(1) = 2

Using Cramer's rule:

x = |2  5| / 3 = 4/3

   |-2 -2|

y = |-1 2| / 3 = -5/3

   |1 -2|

10.The coefficient matrix is:

| -5 -5 |

| -2 -4 |

The determinant of the coefficient matrix is:

|-5 -5 |      |-2 -5 |

|-2 -4 |  = (-5)(-4) - (-5)(-2) = -10

The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:

| 25 -5 |

| 16 -4 |

The determinant of this matrix is:

| 25 -5 |     | 16 -5 |

| 16 -4 | = (25)(-4) - (-5)(16) = -100 + 80 = -20

|-5 25 |

|-4 16 |

The determinant of this matrix is:

|-5 25 |     |-4 25 |

|-4 16 | = (-5)(16) - (25)(-4) = -80 -(-100) = 20

Using Cramer's rule:

x = |-5 -5| / -10 = 1

   |-2 -4|

y = |-5 25| / -10 = 2

   |-4 16|

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Answer:

2.97p

Step-by-step explanation:

each pound of grape costs $2.97

p pounds are bought. Multiply:

2.97p is your answer, or 2.97 * p.

~

A. The equation to represent the profit is P(x) = -150x² + 4x + 900.

B. The degree is 2, the leading coefficient is -150, the leading term is -150x², and the constant is 900.

C. The profit polynomial can be factored as P(x) = (25x + 16)(-6x + 100).

D. We get:

x = (-4 ± √(4² - 4(-150)(900))) / (2(-150))

= (-4 ± √(16 + 540000)) / (-300)

= (-4 ± √540016).

a. The equation to represent the profit is given by P(x) = R(x) - C(x). We can substitute the given equations for R(x) and C(x) into this equation to find the profit equation.

P(x) = (7x + 300x² + 900) - (3x + 450x²)

Simplifying the equation further, we get:

P(x) = 7x + 300x² + 900 - 3x - 450x²

Combining like terms, we have:

P(x) = (7x - 3x) + (300x² - 450x²) + 900

P(x) = 4x - 150x² + 900

Therefore, the equation to represent the profit is P(x) = -150x² + 4x + 900.

b. To identify the degree, leading coefficient, leading term, and constant of the profit equation, we examine the highest power of x, the coefficient of that term, and the constant term.

Degree: The degree of the polynomial is the highest power of x. In this case, the degree is 2.

Leading coefficient: The leading coefficient is the coefficient of the term with the highest power of x. In this case, the leading coefficient is -150.

Leading term: The leading term is the term with the highest power of x. In this case, the leading term is -150x².

Constant: The constant term is the term without any x. In this case, the constant term is 900.

Therefore, the degree is 2, the leading coefficient is -150, the leading term is -150x², and the constant is 900.

c. To factor the profit polynomial P(x) = -150x² + 4x + 900, we look for factors that will multiply to give the product of the leading coefficient and the constant term, while also adding up to give the coefficient of the linear term (4x). In this case, we can factor the polynomial by splitting the linear term:

P(x) = -150x² + 4x + 900

      = -150x² - 96x + 100x + 900

      = -6x(25x + 16) + 100(25x + 16)

      = (25x + 16)(-6x + 100)

Therefore, the profit polynomial can be factored as P(x) = (25x + 16)(-6x + 100).

d. To determine the values where the company will break even, we set the profit equation P(x) = 0 and solve for x.

P(x) = -150x² + 4x + 900

Setting P(x) = 0, we have:

-150x² + 4x + 900 = 0

This is a quadratic equation, and we can solve it using factoring, completing the square, or the quadratic formula. However, since factoring is not straightforward in this case, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the equation -150x² + 4x + 900 = 0, we have:

a = -150, b = 4, c = 900

Substituting these values into the quadratic formula, we get:

x = (-4 ± √(4² - 4(-150)(900))) / (2(-150))

  = (-4 ± √(16 + 540000)) / (-300)

  = (-4 ± √540016)

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Here,

ADDITIONALL,both two equation.

we get that,

so,

The experimental probability of John passing the quiz is 1.

To find the experimental probability that John passed the quiz, the recorded results are used.

Given:

John answered the questions randomly.

He generated random numbers from 1 to 100 using a calculator.

Odd numbers represent True (T) and even numbers represent False (F).

The correct answers are T, T, F, F, and T.

The recorded results are given below:

Recorded Results:

True (T)

False (F)

True (T)

False (F)

True (T)

From the recorded results, John answered 3 out of 5 questions correctly.

Since John needs at least 3 correct answers to pass the quiz, it can e concluded that he passed the quiz based on the experimental data.

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Answer:

344444444433333338694

Step-by-step explanation:

Answer: y = -3x+5

Step-by-step explanation:

The average of all possible whole number lengths for the third side is 20.

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Here, difference of two sides < x < sum of two sides,

will give you the possible length of a triangle.

       (25 - 13) < x < (25 + 13)

           12 < x < 28

So, the value of third side lies between 12 and 28.

The average possible length = (12 + 28) /2 = 40/2 = 20.

Thus, the average of all possible whole number lengths for the third side is 20.

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In this case, let's compare it to the series Σ(1/n). We know that the harmonic series Σ(1/n) is divergent. Now, let's see how these two series relate:
n^2/(5n^3 - 3) <= n^2/(5n^3) = 1/(5n)
Since 1/(5n) is smaller term-wise than the original series, and it converges to the known divergent harmonic series Σ(1/n) when multiplied by 1/5, the original series is also divergent. Thus, the answer is: the series diverges.

To use the Comparison Test, we need to find a series that we know the convergence of that is greater than or equal to our given series. We can simplify the given series by canceling out a factor of n in the numerator and denominator:
Σ[infinity]n = 1, n^2/5n^3 - 3 = Σ[infinity]n = 1, 1/5n

We can now compare this to the series Σ[infinity]n = 1, 1/n. Both series have positive terms, so we can compare them as follows:
1/5n ≤ 1/n for all n ≥ 1

Since the series Σ[infinity]n = 1, 1/n is a known divergent series (the harmonic series), we can conclude that our given series Σ[infinity]n = 1, n^2/5n^3 - 3 is also divergent by the Comparison Test.

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The value of v in the given equation, 40 - 48v = -7 - v, is v = 1

From the question, we are to solve the given linear equation.

The given linear equation is

40 - 48v = -7 - v

To solve the given equation equation, we will determine the value of the unknown variable.

The variable in the given equation is v.

Thus,

We will determine the value of v.

Solving the equation for v

40 - 48v = -7 - v

Add 48v to both sides of the equation

40 - 48v + 48v = -7 - v + 48v

40 = -7 + 47v

Add 7 to both sides of the equation

40 + 7 = -7 + 7 + 47v

47 = 47v

Therefore,

47v = 47

Divide both sides by 47

47v/47 = 47/47

v = 1

Hence, the value of v is 1

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Answer:

x=0.8

Step-by-step explanation:

Find the value n. I think you mean x

3x√√3=3

Simplifies to:

3.948222x=3

Let's solve your equation step-by-step.

3.948222x=3

Step 1: Divide both sides by 3.948222.

3.948222x/3.948222=3/3.948222

x=0.759836

Answer:

x=0.759836

Step-by-step explanation:

3x√√3=3

Simplifies to:

3.948222x=3

Let's solve your equation step-by-step.

3.948222x=3

Step 1: Divide both sides by 3.948222.

3.948222x

3.948222

=

3

3.948222

x=0.759836

Answer:

Step-by-step explanation:

it is 2x

Inequalities with absolute value need to be set up differently to solve based on whether it is an "and" situation or an "or" situation.

When dealing with an "and" situation, we use a compound inequality and solve two separate inequalities. For an "or" situation, we set up two separate inequalities and solve them independently.

The approach differs because the absolute value can result in both positive and negative solutions, which must be considered when determining the valid range of solutions.

When encountering an "and" situation in absolute value inequalities, we use a compound inequality to account for both the positive and negative solutions. For example, if we have |x - 3| ≤ 5 and need to find the valid range for x, we set up two separate inequalities: x - 3 ≤ 5 and -(x - 3) ≤ 5. Solving each inequality separately yields the range of valid solutions for x.

On the other hand, when dealing with an "or" situation, we set up two separate inequalities to handle the positive and negative solutions independently. For instance, if we have |x + 2| > 3 and need to find the valid range for x, we set up the inequalities: x + 2 > 3 and -(x + 2) > 3. Solving each inequality separately provides the distinct ranges of valid solutions for x in the given scenario.

The reason for this distinction lies in the absolute value's property of yielding both positive and negative solutions. By setting up separate inequalities for each case, we ensure that all possible valid solutions are considered and captured appropriately.

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Step-by-step explanation:

look at the attachment

.....

The graph of the linear equation is plotted and y = ( -1/5 )x + 4

Given data ,

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

On simplifying , we get

y = ( -1/5 )x + 4

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = -1/5

And , the y-intercept of the graph of the line is when x = 0

So , when x = 0

y = ( -1/5 ) ( 0 ) + 4

y = 4

Hence , the equation of line is y = ( -1/5 )x + 4

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The example for a discrete sample space among the options given is option c, which is the number of possible values of heights of students. A discrete sample space refers to a set of possible outcomes that can be counted or listed, and this is the case with the possible values of heights of students.

On the other hand, options a, b, and d do not represent a discrete sample space because they involve continuous variables that can take on any value within a range, such as the number of outcomes when 100 coins are tossed or the maximum temperature recorded on a day. Overall, it is important to understand the concept of sample space in probability theory and how it relates to the nature of variables and possible outcomes.
a. Number of outcomes when 100 coins are tossed together.

Discrete sample spaces consist of a finite or countable number of outcomes, whereas continuous sample spaces have an infinite number of possible outcomes. In this case, tossing 100 coins results in a finite number of outcomes (2^100), making it a discrete sample space.

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Organizations that build strategic information systems create systems that are paramount to business success. The correct option is(D).

Strategic information systems are those that support the long-term goals and objectives of an organization, aligning the use of technology with the strategic direction of the business. These systems provide a competitive advantage by enabling the organization to achieve its strategic goals and objectives more efficiently and effectively.

They typically involve the integration of different types of information systems, such as transaction processing systems, decision support systems, and executive information systems, to support the decision-making process at all levels of the organization.

By building strategic information systems, organizations can improve their overall performance, enhance their operational efficiency, and gain a competitive advantage in the marketplace.

Such systems can help organizations to better understand their customers, identify new market opportunities, improve supply chain management, and optimize business processes.

In today's rapidly changing business environment, strategic information systems are essential for organizations to remain competitive and achieve long-term success.

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The slope of the line in the graph is -3/4

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.

Taking two points from the line;

The slope of a line is given as

m = y₂ - y₁ / x₂ - x₁

Substituting the values into the formula;

m = 0 - 3 / 4 - 0

Slope = -3/4

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A function assigns the value of each element of one set to the other specific element of another set. The zeroes of the functions are -2, 1, and 3.

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x) = (x - 1)(x + 2)(x − 3), therefore, the zeroes of the functions are -2, 1, and 3. The end behavior of the function is that if x approaches ∞ then f(x) approaches ∞, while if x approaches -∞ then f(x) approaches -∞, as can be observed from the given graph.

Hence, the zeroes of the functions are -2, 1, and 3.

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Answer:

−1, 2, −3; continues downward to the left and upward to the right

Step-by-step explanation:

The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

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The slope of the line that connects (10,4) and (5,13) is -9/5.

Here given,

The two points are (10,4) and (5,13).

We have to find the slope that passes through the given points,

The formula to find slope(m) is,

The slope of the line that passes through (x1 , y1) and (x2,y2) is,

Slope(m) = y2 - y1 / x2 - x1

By substituting the values in x and y

Slope = 13 - 4 / 5 - 10

          = 9 / -5

Slope = -9/5

          = -1.8

Therefore the slope of line that passes through (10,4) and (5,13) is -9/5.

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In 0.75lb (340g) of 85% lean ground beef, there are approximately 72 grams of fat.

To calculate the grams of fat in 0.75lb of 85% lean ground beef, we need to determine the fat content based on the percentage given. The term "85% lean" indicates that 85% of the weight of the ground beef is lean meat, while the remaining 15% is fat.

First, we convert 0.75lb to grams. Since 1lb is equal to 454g, multiplying 0.75lb by 454g/lb gives us 340g.

Next, we calculate the fat content by multiplying the weight of the ground beef (340g) by the percentage of fat (15%).

340g * 0.15 = 51g

Therefore, in 0.75lb (340g) of 85% lean ground beef, there are approximately 51 grams of fat.

However, the question asks for the fat content, so we subtract this value from the total weight to find the grams of fat:

340g - 51g = 289g

Therefore, there are approximately 72 grams of fat in 0.75lb (340g) of 85% lean ground beef.

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20

Step-by-step explanation:

i belive

Answer:

○ \(\displaystyle \frac{7 + 4i}{10}\)

Step-by-step explanation:

\(\displaystyle \frac{2 + 3i}{4 + 2i} → \frac{2 + 3i[4 - 2i]}{4 + 2i[4 - 2i]} = \frac{14 + 8i}{20} = \boxed{\frac{7}{10} + \frac{2}{5}i}\)

When dividing complex numbers, multiply the denominatour and numeratour by the conjugate of the denominatour. Then simply towards the end.

* Here is something you should know:

\(\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\: [every\:multiple\:of\:four]\)

I am joyous to assist you at any time.