Waterworks is filling barrels with waste water at the rate of 6 quarts per hour. The recycling facility picks up 26 for barrels on each trip, and Each barrel holds 52 quarts of waste water. How many days are between each pick up? Round to tenths place.

Answer:

$72.91

Step-by-step explanation:

1.) 0.0075 x 67.82= 5.0865

2.) 67.82+5.0865= 72.9065 but I rounded it to 72.91 because with money it doesn't go beyond the hundredths place

Answer:

n = -35

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

n/-5 = 7

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that 7 does indeed equal 7.

∴ n = -35 is a solution to the equation.

Slope of the secant line ab can be found by using the formula (y2-y1)/(x2-x1), where (x1,y1) = a(3,9) and (x2,y2) = b(x,x^2).

To explain further, we need to first find the coordinates of point b for each given value of x. Since we know that the y-coordinate of b is x^2, we can substitute x into the equation of the curve to find the corresponding x-coordinate.
For x = 2, b is (2, 4).
For x = 3, b is (3, 9).
For x = 4, b is (4, 16).
Now we can use the formula for slope to find the slope of the secant line ab for each of these points.
For x = 2: slope = (4-9)/(2-3) = -5
For x = 3: slope = (9-9)/(3-3) = undefined (since the denominator is 0)
For x = 4: slope = (16-9)/(4-3) = 7

Therefore,
For x = 2, the slope of the secant line ab is -5.
For x = 3, the slope of the secant line ab is undefined.
For x = 4, the slope of the secant line ab is 7.

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Answer:

‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

Step-by-step explanation:

‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

In the context of measures of reliability, correlating the total score of the first 20 questions on a test with the total score of the last 20 questions on the same test is an example of test-retest reliability.

Test-retest reliability is a measure of the consistency of test scores over time. It assesses the degree to which test scores are consistent when the same test is administered twice to the same group of individuals at different times.

In the example given, the first total score represents the results of the first administration of the test, while the second total score represents the results of the second administration of the test. By correlating the two scores, we can assess the degree of consistency between the two sets of scores and determine the test-retest reliability of the test.

If the correlation between the two total scores is high, it indicates that the test is reliable and produces consistent results over time. If the correlation is low, it suggests that the test may not be reliable and that the results may be subject to random variation or measurement error.

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Answer:

tru

Step-by-step explanation:

Answer:

width = (x - 3)

Step-by-step explanation:

2x² - x - 15 has two factors, one of which is '2x + 5'

we can find the other factor to be 'x - 3', which represents the width

Answer:

1,2,2,1,2

Step-by-step explanation:

on edg

       Conclusion: a slope of 0

        Conclusion: then it has an undefined slope.

A hypothesis, in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

given:

1. If a line is horizontal, then it has a slope of 0.

Hypothesis: line is horizontal

Conclusion: a slope of 0.

2. . A vertical line has an undefined slope.

Hypothesis: is there is a vertical line

Conclusion: then it has an undefined slope.

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Answer:

Riley will pay a total of $151,320 in interest over ten years. This can be calculated by multiplying the loan amount of $210,500 by the interest rate of 8% and then multiplying that number by 10 (the number of years in the loan). Thus, the total interest paid is $151,320.

Answer: A, B, C, and D have the same volumes:  100 units^3

Step-by-step explanation:

The details are attached.  Use the volume formula for the respective shapes.  Bear in mind that B is he area of the base (I assume).  It is the

\(\pi\)\(r^{2}\) in the formulas that have a round base, and the width x length for bases that are rectangular (or square).

The pool water will be 0.006% chlorine after approximately 236.5 minutes, and the percentage of chlorine in the pool after 1 hour (60 minutes) is approximately 0.674%.

Let C(t) be the amount of chlorine in the pool at time t in minutes, measured in gallons of chlorine. Since the volume of the pool is 10,000 gal and the initial concentration of chlorine is 0.01%, we have:

C(0) = 10,000 gal x 0.01% = 1 gal

As city water containing 0.003% chlorine is pumped into the pool at a rate of 6 gal/min and the pool water flows out at the same rate, the differential equation for C(t) is:

dC/dt = (0.003 - C(t)/10,000) x 6 - C(t)/10,000 x 6

Simplifying the right-hand side and solving the differential equation using separation of variables, we get:

C(t) = 30,000(1 - e^(-t/166.7)) - 180,000e^(-t/166.7)

After 1 hour (60 minutes), we have:

C(60) = 30,000(1 - e^(-60/166.7)) - 180,000e^(-60/166.7) ≈ 0.0674 gal

The percentage of chlorine in the pool after 1 hour is:

0.0674 gal / 10,000 gal x 100% ≈ 0.674%

To find when the pool water is 0.006% chlorine, we set C(t) = 10,000 gal x 0.006% = 0.6 gal and solve for t:

30,000(1 - e^(-t/166.7)) - 180,000e^(-t/166.7) = 0.6

Using numerical methods, we find that t ≈ 236.5 minutes.

After roughly 236.5 minutes, the chlorine content of the pool will be 0.006%, and after an hour (60 minutes), it will be approximately 0.674%.

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Answer:

x = 42

Step-by-step explanation:

the angles are considered congruent so the equation would be 4x-27 = 3x+15

add 27 to both sides: 4x= 3x +42

subtract 3x from both sides: x= 42

Answer:

2

Step-by-step explanation:

Factors for 14: 1, 2, 7, and 14. Factors for 16: 1, 2, 4, 8, and 16.

The greatest common factor being 2, as they both have it.

Therefore, if the input is angle_elev = 3.8 and shadow_len = 17.5, the estimated height of the tree would be approximately 1.166 meters.

To calculate the height of a tree given the angle of elevation (angle_elev) and the shadow length (shadow_len), you can use trigonometry.

Let's assume that the tree height is represented by the variable "tree_height". Here's how you can calculate it:

Convert the angle of elevation from degrees to radians. Most trigonometric functions expect angles to be in radians.

angle_elev_radians = angle_elev * (pi/180)

Use the tangent function to calculate the tree height.

tree_height = shadow_len * tan(angle_elev_radians)

Now, if the input is angle_elev = 3.8 and shadow_len = 17.5, we can plug these values into the formula:

angle_elev_radians = 3.8 * (pi/180)

tree_height = 17.5 * tan(angle_elev_radians)

Evaluating this expression:

angle_elev_radians ≈ 0.066322511

tree_height ≈ 17.5 * tan(0.066322511)

tree_height ≈ 1.166270222

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Answer:

y = - x + 6

Step-by-step explanation:

The Value of B[ex-2Y+Z] is e^(-7/2) - 1/5 + 2.

To compute B[ex-2Y+Z], we need to determine the probability distribution of the expression ex-2Y+Z.

Given that X ~ N(-4,1), Y ~ Exp(10), and Z ~ Poisson(2) are independent, we can start by calculating the mean and variance of each random variable:

For X ~ N(-4,1):

Mean (μ) = -4

Variance (σ^2) = 1

For Y ~ Exp(10):

Mean (μ) = 1/λ = 1/10

Variance (σ^2) = 1/λ^2 = 1/10^2 = 1/100

For Z ~ Poisson(2):

Mean (μ) = λ = 2

Variance (σ^2) = λ = 2

Now let's calculate the expression ex-2Y+Z:

B[ex-2Y+Z] = E[ex-2Y+Z]

Since X, Y, and Z are independent, we can calculate the expected value of each term separately:

E[ex] = e^(μ+σ^2/2) = e^(-4+1/2) = e^(-7/2)

E[2Y] = 2E[Y] = 2 * (1/10) = 1/5

E[Z] = λ = 2

Now we can substitute these values into the expression:

B[ex-2Y+Z] = E[ex-2Y+Z] = e^(-7/2) - 1/5 + 2

Therefore, the value of B[ex-2Y+Z] is e^(-7/2) - 1/5 + 2.

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Arc length formula is L = ∫a^b √[1 + (dy/dx)^2] dx . The arc length of a curve is the length of the curve between two points, and it can be calculated using the arc length formula in calculus.

The arc length formula can be used to find the length of a curve in terms of the function that describes the curve.

The arc length formula is given by:

L = ∫a^b √[1 + (dy/dx)^2] dx

where L is the arc length of the curve, a and b are the endpoints of the curve, dy/dx is the derivative of the function that describes the curve with respect to x, and ∫ represents the integral of the function over the interval from a to b.

To use the formula, we first find the derivative of the function that describes the curve, dy/dx. Then we plug this expression into the arc length formula and integrate the expression over the interval from a to b to find the arc length of the curve.

The arc length formula is useful in many applications, such as physics, engineering, and geometry, and it allows us to find the length of a curve even when it is not a straight line.

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Answer:

f(x)=740

Step-by-step explanation:

f(x)=45x+200

If f(12)

f(x) = 45(12) +200

f(x) = 540 +200

f(x)=740

The range is 740 and we get the range by substituting x = 12 in the given function.

Given,

John's health club has an enrollment fee of $200 and costs $45 a month. The total cost of the membership is a function of the number of months. The function is represented by f(x)=45x+200.

The domain is 12 months.

We need to find the range and explain it.

The domain is the input value and the range is the output value of the given function.

We have a function:

f(x) = x + 1

f(1) = 1 + 1 = 2

Domain = 1.

Range = 2.

Find the range of f(x) = 45x + 200.

We have,

Domain = 12 months.

x = 12.

f(12) = 45 x 12 + 200

       = 540 + 200

       = 740.

Thus the range is 740 and we get the range by substituting x = 12 in the given function.

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Answer:

Steve was correct in his statement.

Step-by-step explanation:

According to standard notation, opening bracket ( \([\) ) represents the lower bound of a set so that elements of the set are equal or greater than lower bound. In addition, closure parenthesis ( \()\) ) represents the upper bound of a set so that element of the set are less than upper bound.

In consequence, Steve was correct in his statement.

Answer:

Well Ima need the question buddy

Step-by-step explanation:

After all shrek can’t answer a question without a question.

The product of a rational and an irrational number can be either rational or irrational, depending on the specific numbers involved.

To illustrate this, let's consider an example:

Let's say we have the rational number 2/3 and the irrational number √2.

Their product would be (2/3) * √2.

In this case, the product is irrational.

The square root of 2 is an irrational number, and when multiplied by a rational number, the result remains irrational.

However, it's also possible to have a product of a rational and an irrational number that is rational. For example, if we consider the rational number 1/2 and the irrational number √4, their product would be (1/2) * 2, which equals 1. In this case, the product is a rational number.

Therefore, we cannot make a definitive statement that the product of a rational and an irrational number is always rational or always irrational. It depends on the specific numbers involved in the multiplication.

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Answer:

g(-2) = 0

g(4) = -4

Step-by-step explanation:

The outputs of each inequality are the numbers directly next to the parentheses. If an "x" value lies within a particular inequality, the values of the function are the corresponding output.

Remember, the "greater than or equal to" sign (≤) indicates that the "x" value can be equal to the number on the left. The "greater than" symbol (<) indicates that the number to the right cannot satisfy the inequality.

x = -2 lies within the inequality -2 ≤ x < 4. All "x" values that fall within this range are g(x) = 0. Therefore, g(-2) = 0.

x = 4 lies within the inequality 4 ≤ x < 10. All "x" values that fall within this range are g(x) = -4. Therefore, g(4) = -4.

Answer:

-72, 18

Step-by-step explanation:

\(-15<\frac{x}{3}+9<15 \\ \\ -24<\frac{x}{3}<6 \\ \\ -72<x<18\)

Answer:

first box is 18 second is 32 and third is 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

3   6     8

18   36   48

your ratio is 1:6, so  however many boxes you have, just multiply by 6 to get the candle number

Answer:

The numerical length of SU =

5 units

Step-by-step explanation:

Here, we want to get the length of point SU

mathematically;

SU = ST + TU

4x + 1 = 3x -1 + 3x

4x + 1 = 6x - 1

6x-4x = 1 + 1

2x = 2

x =2/2 = 1

But SU = 4x + 1 = 4(1) + 1 = 5 units

Answer:

10

Step-by-step explanation:

DeltaMth answer 2021

The probability of being at least seven minutes late given that it is already 3.5 minutes late is approximately 0.368 (or 36.8%).

What is mean?

In statistics, the mean is a measure of central tendency which represents the average of a set of numerical data. It is obtained by adding up all the values in the data set and then dividing the sum by the total number of values.

We know that the exponential distribution has the following probability density function:

\($f(x) =\)

\(\frac{1}{\mu} e^{-x/\mu} & x \geq 0 \\)

\(0 & x < 0 \\)

where \($\mu$\) is the mean of the distribution.

We are given that \($\mu = 3.5$\) minutes. Let \($X$\) be the time it takes to be late. Then \($X$\) follows an exponential distribution with mean \($\mu = 3.5$\) minutes.

We want to find \($P(X \geq 7 \mid X \geq 3.5)$\). By the definition of conditional probability, we have:

\($P(X \geq 7 \mid X \geq 3.5) = \dfrac{P(X \geq 7 \text{ and } X \geq 3.5)}{P(X \geq 3.5)}$\)

\($= \dfrac{P(X \geq 7)}{P(X \geq 3.5)}$\)

\($= \dfrac{\int_7^\infty \frac{1}{3.5} e^{-x/3.5} dx}{\int_{3.5}^\infty \frac{1}{3.5} e^{-x/3.5} dx}$\)

\($= \dfrac{e^{-2}}{e^{-1}}$\)

\($= e^{-1}$\)

Therefore, the probability of being at least seven minutes late given that it is already 3.5 minutes late is approximately 0.368 (or 36.8%).

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