chlorine needs to be added to a hot tub in a hotel sauna for sanitization. if the 17) manufacturer recommends a dilution of 2 cups of chlorine for every gallon of water. how many gallons of fluid (in total) will be in the hot tub if 120 gallons of water is to be used?

The account must pay a 40 percent interest rate under Marcos.

A loan's or deposit's initial principal serves as the foundation for simple interest.

Contrarily, compound interest is calculated based on both the principal amount and the interest that is accrued on it each period.

Simple interest is simpler to compute than compound interest because it is just applied to the principal.

based on the information provided,

500+x=200

x=200/500

x=40

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Answer:

-8/1 = slope of -8

Step-by-step explanation:

to find slope always remember rise over run, the points are vertically 8 points away which is your rise, and horizontally 1 point which is your run. It's negative because it slopes down.

Hope this helped! pls give branliest so I can level up.

If teacher is distributing sheets in a class, then the equation which is used to find number of students in class is (d) 2x+8 = 3x - 11​.

A "Linear-Equation" is a mathematical equation that represents a straight line in a coordinate plane. It is of form : y = mx + b

where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept (the point at which the line crosses the y-axis).

Let number of students in class be denotes as "x",

If each student get 2 sheets, then 8 sheets are remaining, it is mathematically represented as : 2x + 8 ,

If each student get 3 sheets each, then there would be 11 sheets less, and this is represented as : 3x - 11,

So, the equation which is used to find number of students in class is 2x+8=3x-11,

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

If a teacher were to distribute sheets of paper so that each student got two sheets, there would be 8 sheets remaining. However, if three sheets were given to each student, the teacher would be 11 sheets short. Which equation could be used to find how many students are in the class?

(a) 2(x - 8) = 3(x + 11)

(b) 2(x + 8) = 3(x - 11)

(c) 2x-8 = 3x + 11

(d) 2x+8 = 3x - 11​

Answer:

497.75

Step-by-step explanation:

8.25% of 460 = 39.75

Therefore, 460 + 39.75 = 497.75

Answer:

The tax is 37.95

Step-by-step explanation:

Take the cost of the radio and multiply by 8.25%

460 * .0825

37.95

The tax is 37.95

Answer:

15

Step-by-step explanation:

mean means add all the numbers and divide them by how many there are

plot 1: 63 divided by 9 equals 7

plot 2: 330 divided by 15 equals 22

so now we need to subtract 22 minus 7 equals 15

hope this helps

Answer:

15

Step-by-step explanation: you have to add all of the numbers and then divide the answer by the number of numers you added

Answer:

x=50

Step-by-step explanation:

Let's look at the red angle. if a flat line makes the angle 180, and the outer angle is 120, subtract 120 from 180. This will give you 60. Now every angle of a triangle added together will give you the sum of 180. So you already have 60 and 70, which make 130 all together. Subract 130 from 180 - (180-130) - and you'll get the result of 50.

The solution is :  the measure of the missing angle X is x=50.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram, we get,

Let's look at the red angle.

if a flat line makes the angle 180, and the outer angle is 120,

subtract 120 from 180.

This will give you 60.

Now every angle of a triangle added together will give you the sum of 180.

So you already have 60 and 70,

which make 130 all together.

Subtract 130 from 180

i.e. (180-130) = 50

and we get the result of 50.

Hence, The solution is :  the measure of the missing angle X is x=50.

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We are given v = ds/dt, v = 9.8t + 9, s(0) = 17. We need to find the position of a body moving along a coordinate line at time t.

Using the formula of velocity, we can integrate it with respect to t to find the position of the body at any time t. The formula for velocity is:v = ds/dt... (1) Integrating equation (1) with respect to t, we get's = ∫vdt + C ...(2)

Here, C is the constant of integration, and it is found using the given initial position. Given, s(0) = 17Substitute s = 17 and t = 0 in equation (2).17 = ∫(9.8t + 9)dt + C [∵ s(0) = 17]17 = 4.9t² + 9t + C

Therefore, C = 17 - 4.9t² - 9tOn substituting the value of C in equation (2), we get:s = ∫vdt + 17 - 4.9t² - 9t ...(3)Now, we can substitute the given velocity, v = 9.8t + 9, in equation (3).s = ∫(9.8t + 9)dt + 17 - 4.9t² - 9ts = 4.9t² + 9t + 17 - 4.9t² - 9ts = 9t + 17

Hence, the position of the body at time t is 9t + 17 units.

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Answer:

32

Step-by-step explanation:

So, lets go over what we know:

The equation to find x is the same on both sides.

Now, lets find this equation:

So, the total area of the two lines on the left side of the triangle are 24.

Lets first subtract the first line from the total of the two lines to find the value of the second line:

24-3

=

21.

Now that we know the value of the 2nd line is 21. lets divide it by the first line(3) to find the scale factor:

21/3

=

7

So the scale factor is 7!

Lets plug this in for x.

We know that the first line is 4.

The second line is 7x bigger than 4.

So we can calculate this as:

7x4

=

28

So x is 28!

This is your answer!

Hope it helps! :)

The probability that a randomly selected value will be less than 1,365 is approximately 0.0307, or 3.07%.

To find the probability that a randomly selected value will be less than 1,365, we can use the z-score formula.

The z-score formula is given by: z = (x - μ) / σ, where x is the value we are interested in, μ is the mean, and σ is the standard deviation.

First, we need to calculate the standard deviation by taking the square root of the variance: σ = √348 = 18.63.

Next, we can plug in the values into the z-score formula:
z = (1,365 - 1,400) / 18.63 = -1.88.

To find the probability, we need to consult the z-table or use a calculator. Looking up the z-score -1.88 in the table, we find the corresponding probability to be 0.0307.

Therefore, the probability that a randomly selected value will be less than 1,365 is approximately 0.0307, or 3.07%.

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The mapping diagram does not represent a function, since the element 9 in set A is mapped to two different elements in Set B.

A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.

From the mapping diagram, we have that the element 9 in Set A is mapped to two different elements of set B, that is, an input is mapped to multiple outputs, hence the mapping diagram does not represent a function.

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If x = 0.888…, then 10x = 8.888… and

10x - x = 9x = 8   ==>   x = 8/9

Answer:

Radius - 25.4cm²

Circumstance- 159. 593cm²

Area - 2,026.83cm²

I think not sure

9514 1404 393

Answer:

  (d)  15x -10y = -8

Step-by-step explanation:

Using the given values for slope (m) and y-intercept (b), the slope-intercept form of the equation is ...

  y = mx + b

  y = 3/2x +4/5

Multiplying both sides by 10 gives ...

  10y = 15x +8

Subtracting 10y+8 from both sides, we have ...

  -8 = 15x -10y

In standard form, this is ...

  15x -10y = -8

Answer:

m<9=130 it also equal to 180 so 130-180 makes m<4= 50

The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.

The force exerted on the 7.00−μC charge by the 2.00−μC charge is

F₁​ ​= \(k_{e}\)q₁q₂​​/r₂ r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^​)]/ (0.500m)²

F₁ ​= (0.252i^+0.436j^​)N

Similarly, the force on the 7.00μC charge by the −4.00−μC charge is

F₂​ ​= \(k_{e}\)q₁​q₃/​r² ​​r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)​×(cos60°i^−sin60°j^​)]/(0.500m)²

F₂​ ​=(0.503i^−0.872j^​)N

Hence, the total force on the charge 7.00−μC  is

F = F₁​​+F₂​

​=(0.755i^−0.436j^​)N

We can also note the total force as:

F = (0.755N)i^−(0.436N)j^​ = 0.872N

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--This question is incomplete; the complete question is

"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--

The degrees of freedom for the Pearson correlation with a sample size of 86 and an alpha level of 0.05 will be 84 (df = 86 - 2).

With a sample size of 86 and an alpha level of 0.05, the degrees of freedom for the Pearson correlation can be calculated using the formula: df = (n - 2), where "n" represents the sample size and "df" represents the degrees of freedom. Degrees of freedom (df) refers to the number of independent pieces of information available to estimate a statistical parameter. In other words, it is the number of values in a calculation that are free to vary without violating any constraints. The formula for calculating degrees of freedom varies depending on the type of statistical test being performed. In general, df is equal to the sample size minus the number of parameters that must be estimated to compute the statistic. For example, in a t-test with a sample size of n and two groups, df = n - 2, because two parameters (the means of the two groups) must be estimated.The concept of degrees of freedom can be a bit abstract, but it is essential for understanding the properties and limitations of statistical tests.

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The volume of the cube as a function of m, the number of minutes elapsed, is V(m) = 4m^3 + 18m^2 + 30m + 27.

The volume of a cube with an edge length of 3 feet is given by V = s^3, where s is the length of a side.

Since the edge is increasing at a rate of 2 feet per minute, the length of the side can be expressed as s = 3 + 2m, where m is the number of minutes elapsed.

Substituting this expression for s into the volume formula, we get:

V(m) = (3 + 2m)^3

Expanding this expression, we have:

V(m) = (3 + 2m)(3 + 2m)(3 + 2m)

= (9 + 6m + 6m + 4m^2)(3 + 2m)

= (9 + 12m + 4m^2)(3 + 2m)

= 27 + 18m + 12m + 8m^2 + 6m^2 + 4m^3

= 4m^3 + 18m^2 + 30m + 27

Therefore, the volume of the cube as a function of m, the number of minutes elapsed, is V(m) = 4m^3 + 18m^2 + 30m + 27.

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The volume of the ice cream cone is approximately 25.12 cubic inches, when we use 3.14 for pi and round our answer to two decimal places.

A cone is a three-dimensional geometric shape that has a circular base and a pointed apex. It is similar to a pyramid, except that a cone has a circular base instead of a polygonal base.

The following formula determines a cone's volume:

V = (1/3) * π * r² * h

where V is the volume of the cone, r is the radius of the circular base of the cone, h is the height of the cone, and π is a mathematical constant approximately equal to 3.14.

In this problem, we are given that the ice cream cone has a radius of 2 inches and a height of 6 inches.

V = (1/3) * 3.14 * 2² * 6

Simplifying the expression inside the parentheses:

V = (1/3) * 3.14 * 4 * 6

V = (1/3) * 3.14 * 24

V = 25.12 cubic inches

Therefore, the volume of the ice cream cone is approximately 25.12 cubic inches, when we use 3.14 for pi and round our answer to two decimal places.

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The expressions formed are,

Formation of expressions in 1, 2 and 3:

In 1, twelve times f is, 12f

Taking away 5, it becomes (12f-5)

In 2, sum of k and 6 is, (k+6)

One-half of the above quantity is, (k+6)/2

In 3, sum of 5 with x is, (x+5)

Now, x squared minus the above expression indicates (x²-x+5)

Formation of expressions in 4 and 5:

In 4, product of a and b, is ab and 3 times c is 3c

Sum of the expressions evaluated in the previous statement = ab+3c

In 5, 24 times the product of x and y is, 24xy

Adding, g in the above computed expression, we get, 24xy+g

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Answer:

just add them up

Step-by-step explanation:

The production possibility frontier (PPF) and opportunity cost are closely related concepts. The PPF is a graph that illustrates the different combinations of two goods that can be produced with a fixed set of resources and technology, while opportunity cost is the cost of one alternative in terms of the benefits forgone of the best alternative.

The PPF represents the trade-offs that society must make between producing different goods. As we move along the PPF, we can see that as we produce more of one good, we must give up some production of the other good. This trade-off is represented by the slope of the PPF, which is the opportunity cost of producing one good in terms of the other good.

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Therefore, the probability of selecting a white or blue marble is approximately 0.3910 or 39.10% when rounded to four decimal places.

To find the probability of selecting a white or blue marble, we need to determine the total number of white and blue marbles and divide it by the total number of marbles in the box.

Total white and blue marbles = Number of white marbles + Number of blue marbles

= 58 + 3

= 61

Total number of marbles = Number of red marbles + Number of white marbles + Number of blue marbles

= 95 + 58 + 3

= 156

Probability = (Total white and blue marbles) / (Total number of marbles)

= 61 / 156

≈ 0.3910 (rounded to four decimal places)

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The equation relating x, y, and z is:

z = 0.5 * x * y.

In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.

To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.

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Answer:

64 pizzas

Step-by-step explanation:

Answer:

t = \(\frac{l}{pr}\)

Step-by-step explanation:

Formula or literal equation used to calculate the simple interest is,

l = prt

where 'l' = Simple interest

p = principle amount invested

r = rate of interest

t = time or duration of the investment

If we have to calculate the time of investment form the given formula,

l = prt

By the division property of equality,

\(\frac{l}{pr}=\frac{prt}{pr}\)

\(t=\frac{l}{pr}\)

Therefore, formula to be used is, \(t=\frac{l}{pr}\)

Answer:

0.21

Step-by-step explanation:

Move the decimal two places to the left.

The addition of two given expressions, -2.4\(n^{3}\) and -7.8m+2, is -2.4\(n^{3}\)-7.8m+2.

According to the question,

We have the following two expressions:

-2.4\(n^{3}\) and -7.8m+2

Now, we will add these two expressions:

-2.4\(n^{3}\)-7.8m+2

Now, this expression can not be solved further because any of the term in this expression can not be further added because they do not have the same variable.

We know that only terms with the same variables can be added or subtracted from each other. For example, 4x can only be added 5x but it can not be added to 5y because the variables are different.

Hence, the addition of two given expressions, -2.4\(n^{3}\) and -7.8m+2, is -2.4\(n^{3}\)-7.8m+2.

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Answer: B = -(Aa)/y + C/y

By = -Aa + C

B = -(Aa)/y + C/y

hope this helps! <3

To conclude that the given sequence diverges, as it does not have a finite limit as n approaches infinity. Therefore, the limit does not exist (DNE) for the sequence.

To determine the convergence or divergence of the sequence, we need to analyze its behavior as n approaches infinity.

Let's simplify the given sequence step by step:

   Start with the term "4nπ an tan(5 + 16n) converges."

   The term "an" suggests that there is another sequence involved. However, since we don't have any specific information about sequence "an," we cannot proceed with any further calculations based on that. Therefore, we will focus on the expression "4nπ tan(5 + 16n)  converges."

   The term "4nπ" represents a sequence that linearly grows as n approaches infinity.

   The term "tan(5 + 16n)" represents the tangent function applied to an expression that also grows linearly with n.

   Since both terms within the tangent function grow linearly, their product will also grow linearly as n approaches infinity.

   As a result, the overall sequence "4nπ tan(5 + 16n)"  converges  will grow linearly as n increases.

   Since the sequence grows without bound as n approaches infinity, it diverges.

Therefore, the given sequence does not converge, and as a result, the limit does not exist (DNE).

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