Express the following equation in slope-intercept form: 13x - 3y = 18 Select the best answer from the choices provided. A. y = 3 x + -27.33 13 B. y = - 3 x + 33.33 13 C. y = 13 x + -6 3 D. y = - 13 x + 20 3

The correct decimal number for 17/22 will be equal to 0.7(727)bar.

The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system. Decimal refers to the base-10 number system, which is perhaps the most widely used number system. The term "decimal number" refers to a number that has a decimal point followed by digits with values less than one.

Here,

17/22=0.772727.....

For 17/22, the proper decimal number is 0.7(727)bar.

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Answer:

A) s and t.

Step-by-step explanation:

just trust me. Plus lines s and t are the only pair of lines that don't touch each other and can go on forever not touching each other.

The correct statement is that the pooled sample proportion, p, is equal to the proportion of successes in both samples combined and it estimates the common value of p1 and p2 under the assumption that the null hypothesis is true. Option d

In a two-sample z-test, we compare two proportions from two different populations. The pooled sample proportion, p, is calculated by combining the number of successes from both samples and dividing it by the total number of observations. It represents the overall proportion of successes in the combined samples. This pooled sample proportion is used to estimate the common value of p1 and p2 under the assumption that the null hypothesis is true, and it serves as a parameter in the z-test calculation.

Therefore, the correct statement is that the pooled sample proportion, p, is equal to the proportion of successes in both samples combined, and it also estimates the common value of p1 and p2 under the null hypothesis.

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Answer:

5 yards

Step-by-step explanation:



1. P-adic Numbers:

P-adic numbers are a specialized alternative not commonly used as a continuity strategy in mathematics. They are an extension of the real numbers that provide a different way of measuring and analyzing numbers. P-adic numbers are based on a different concept of distance, known as the p-adic metric. This metric assigns a measure of closeness or distance between numbers based on their divisibility by a prime number, p. P-adic numbers have unique properties and can be useful in number theory, algebraic geometry, and other branches of mathematics. However, they are not typically employed as a continuity strategy in practical applications.

2. Nonstandard Analysis:

Nonstandard analysis is a mathematical framework that provides an alternative approach to calculus and analysis. It introduces new types of numbers called "infinitesimals" and "infinite numbers" that lie between the standard real numbers but are infinitely smaller or larger than any real number. Nonstandard analysis allows for more rigorous treatment of infinitesimal quantities and provides a different perspective on limits, continuity, and differentiation. While nonstandard analysis has theoretical implications and can provide valuable insights in mathematical research, it is not commonly used as a continuity strategy in practical applications where standard analysis and calculus are more prevalent.

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As each side of the cube has a surface area of 24in².the total amount of wrapping paper needed is 64in².

Surface area is the total area of a three-dimensional object's surface, including the area of its faces and any curved surfaces.

To calculate the amount of wrapping paper needed for the cube, we can use the formula for the surface area of a cube:

SA = 6 x (side)²

In this case, the side of the cube is 2in,

so the SA = 6 x (2in)² = 24in²

To get the amount of wrapping paper needed, we would need to multiply this by 4, as each side of the cube has a surface area of 24in².

Therefore, the total amount of wrapping paper needed is

24in² x 4 = 96in²

To convert this to a square, we would need to divide it by 4, as each side of the square is equal in length.

Therefore, the total amount of wrapping paper needed is

96in² / 4

= 24in x 4

= 64in².

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Answer:

i think c

Step-by-step explanation:

Answer:

Example 1:

A tank can be filled by pipe A in 3 hours and by pipe B in 5 hours. When the tank is full, it can be drained by pipe C in 4 hours. if the tank is initially empty and all three pipes are open, how many hours will it take to fill up the tank?

Solution:

Step 1: Assign variables:

Let x = time taken to fill up the tank

Step 2: Use the formula:

Since pipe C drains the water it is subtracted.

1/3+1/5-1/4=1/x

Step 3: Solve the equation

The LCM of 3, 4 and 5 is 60

Multiply both sides with 60

solve the eqn

Answer: The time taken to fill the tank is 3 9/17 hours.

Work Problem: Pumps draining a tank

Example:

A swimming pool can be emptied in 6 hours using a 10-horsepower pump along with a 6-horsepower pump. The 6-horsepower pump requires 5 hours more than the 10-horsepower pump to empty the pool when working by itself.

How long will it take to empty the pool using just the 10-horsepower pump?

Show Step-by-step Solutions

Cooperative Work Word Problems (Time to Finish)

Examples:

1. Pump A can empty a pool in 20 hours and pump B can empty it in 24 hours. Working together, how long will it take to empty the pool?

2. A painter can paint a building in 15 days and a coworker can do the same job in 10 days. If the first painter starts and 3 days later the coworker joins in to help finish the job, how many days doe it take to paint the building?

Show Step-by-step Solutions

Rates of Performing Work Problems

Example:

It takes 12 hours to fill a water tank. It takes 16 hours to drain the same water tank. How long will it take to fill the tank if the drain is left open?

Show Step-by-step Solutions

Step-by-step explanation:

The time taken for the two trains to pass one another at 324 mi apart is 4 hours.

What is velocity ?

velocity is defined as rate of change of displacement d of the object with respect to rate of change in time t. In mathematics It is written as :

v = d/t

here it is given that :

Robinsport and Titusville trains are 324 mi apart on a railroad line that is distance between then is 324 mi.

also,

Trains leave each of these depots at the same time headed for the other depot and one travels at v₁ = 43 mi/h , the other at v₂ = 38 mi/h in opposite direction that is relative speed will get add-up that is :

Δv = v₁ - v₂

Δv = 43-(-38)

Δv = 81 mi/h

Now, the time taken for the two trains to pass one another is calculated :

Δv = d/t

81 = 324/t

t = 324/81

t = 4 hours

Therefore, the time taken for the two trains to pass one another is 4 hours.

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Answer:

the blue line is at the 7 and the blue line is at -1

Answer:

7

Step-by-step explanation:

We first start by simplifying the bracket.

(6 - 5) = 1,

Now we have

3(1) + 4

3 + 4 = 7

also, if you expand instead of simplifying, you get.

(3*6 - 3*5) + 4

(18 - 15) + 4

3 + 4 = 7

Irrespective, the answer is 7

the distinct equivalence classes [0], [1], [2], and [3] form a partition of ℤ.

What is Equivalence relation?

An equivalence relation is a relation between elements of a set that satisfies three properties: reflexivity, symmetry, and transitivity.

a) To prove that R is an equivalence relation, we need to show that it satisfies three properties: reflexivity, symmetry, and transitivity.

Reflexivity: For any integer m, we need to show that m R m, i.e., 4 |\((m^2 - m^2).\) Since the difference of squares is 0, which is divisible by 4, the relation is reflexive.

Symmetry: For any integers m and n, if m R n, then we need to show that n R m. If 4 | \((m^2 - n^2)\), then \((m^2 - n^2)\) is divisible by 4. Taking the negative of both sides, we have\((-n^2 + m^2) = (m^2 - n^2)\), which is also divisible by 4. Therefore, n R m, and the relation is symmetric.

Transitivity: For any integers m, n, and p, if m R n and n R p, then we need to show that m R p. Suppose 4 |\((m^2 - n^2)\)and 4 \(| (n^2 - p^2)\). This means \((m^2 - n^2) and (n^2 - p^2)\)are both divisible by 4. Adding these two divisibility statements, we get (m^2 - p^2) is also divisible by 4, which implies m R p. Hence, the relation is transitive.

Since the relation R satisfies reflexivity, symmetry, and transitivity, it is an equivalence relation.

b) The distinct equivalence classes of the relation R can be described by the set of all integers that are congruent modulo 4. In other words, each equivalence class contains integers that have the same remainder when divided by 4.

The distinct equivalence classes can be denoted as follows:

[0] = {..., -8, -4, 0, 4, 8, ...}

[1] = {..., -7, -3, 1, 5, 9, ...}

[2] = {..., -6, -2, 2, 6, 10, ...}

[3] = {..., -5, -1, 3, 7, 11, ...}

Each equivalence class consists of integers that satisfy the condition 4 | (m^2 - n^2), and within each class, any two integers have their squares yielding the same remainder when divided by 4.

c) The distinct equivalence classes [0], [1], [2], and [3] form a partition of ℤ. A partition of a set is a collection of non-empty, pairwise disjoint subsets whose union is the entire set.

In this case, the equivalence classes [0], [1], [2], and [3] are non-empty and pairwise disjoint because no integer can simultaneously belong to two different equivalence classes. Also, the union of all the equivalence classes covers the entire set of integers, as each integer belongs to exactly one of the equivalence classes.

Therefore, the distinct equivalence classes [0], [1], [2], and [3] form a partition of ℤ.

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To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

Answer:

123

Step-by-step explanation:

1 bag = 13 cookies

9 bags x 13 cookies = 117 cookies

117 cookies + 6 cookies that he already has = 123 cookies

Dale have 123 cookies in total.

Answer:

123 cookies.

Step-by-step explanation:

Multiply the amount of bags of cookies he bought, and the amount of cookies in each back to find out the amount of cookies he bought all together.

9 x 13 = 117

He already had six cookies saved. Add that the amount he had bought

117 + 6 = 123

Dale has 123 cookies in total.

Answer:

231

Step-by-step explanation:

5.46+1

230+1

231

answer this?

Answer:

yes

Step-by-step explanation:

Equate 5n + 1 and 46 to find n, that is

5n + 1 = 46 ( subtract 1 from both sides )

5n = 45 ( divide both sides by 5 )

n = 9

Thus 46 is the ninth term in the sequence

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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In completing the square method, considering the equation X^2 + 82x +  the number to be added should be 1681 to make it a perfect square

The quadratic equation is an equation of the form

ax^2 + bx + c

The completing the square method is on of the methods of solving equations of the form above

The factor to be added on the both sides of the equation while using the completing the square method is

(b / 2a)^2

compared to the equation in the problem X^2 +82x

= (b / 2a)^2

= (82 / 2)^2

= (41)^2

= 1681

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The work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

To calculate the work required to pump all the water over the edge of the tank, we need to consider the weight of the water in the tank and the height it is lifted.

First, let's find the volume of the water in the tank. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. Plugging in the values, we have:

V = (1/3)π(3²)(12)

= (1/3)π(9)(12)

= 36π

Next, we need to find the weight of the water. The weight of an object is given by the formula W = mg, where m is the mass and g is the acceleration due to gravity. The mass of the water can be found by multiplying its volume by the density of water, which is approximately 62.4 pounds per cubic foot:

m = (36π)(62.4)

≈ 22619.47 pounds

Now, we can calculate the work done by multiplying the weight of the water by the height it is lifted. In this case, the height is 12 feet:

W = (22619.47)(12)

≈ 271433.64 foot-pounds

Therefore, the work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

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The work required to pump water out of an inverted conical tank involves calculating the pressure-volume work at infinitesimally small volumes within the tank and integrating this over the entire volume of the tank. This provides an interesting application of integral calculus in Physics.

The question requires the concept of work in Physics applied to a fluid, in this case, water lying within an inverted conical tank. Work is done when force is applied over a distance, as stated by work = force x distance. In the fluid analogy, the 'force' link is the pressure exerted on the water and the distance is the change in volume of the fluid. Therefore, work done (W) = Pressure x Change in Volume (ΔV).

In this scenario, you are required to pump out water from an inverted conical tank, hence, the work you do is against the gravitational force pulling the water downwards. To calculate the total work done, you have to consider the work done at each infinitesimally small (hence, constant pressure) strip of volume and integrate over the entire volume of the tank.

The detail of calculation would require the knowledge of integral calculus and the formula for volume of a cone. I recommend considering this as an interesting application of integrals in Physics. Also remember that the volume of a cone = 1/3πr²h, where 'r' is the radius of base and 'h' is the height of cone.

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Answer:4.5

Step-by-step explanation:(2x1)+(5/2) which equals 4.5

Answer:

I think the answer for this question is C

Answer:

the answer is c

Step-by-step explanation:

Answer:

A). Scale factor = \(\frac{1}{4}\)

B). Length of the unknown side = 2.75 feet

Step-by-step explanation:

Part A

Since, the large rectangle was scaled by a scale factor 'k' to form the smaller rectangle,

Scale factor = \(\frac{\text{Side length of the image}}{\text{Side length of the preimage}}\)

                    = \(\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}\)

                    = \(\frac{4}{16}\)

                    = \(\frac{1}{4}\)

Part B

Scale factor = \(\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}\)

\(\frac{1}{4}=\frac{\text{Side length of the smaller rectangle}}{11}\)

Therefore, side length of the unknown side = \(\frac{11}{4}\) = 2.75 feet

Answer:

A lower price and quantity would result.

The term "intercepted arc" refers to an arc that is "cut off" or "lies between" the specified angle's sides.

The measure of < LRQ is 112.5.

The term "intercepted arc" refers to an arc that is "cut off" or "lies between" the specified angle's sides.

An arc is a segment of a circle's circumference. An intercepted arc is thus one formed when one or two different chords or line segments cut across a circle and meet at a common point known as a vertex.

If an angle is inscribed in a circle, then the measure of the angle equals one half the measure of its intercepted arc.

So, \($m \angle L R Q=\frac{1}{2}(m \overparen{L N Q})$\)

The sum of the measures of the central angles of a circle with no interior points in common is 360 .

Here, 360 is divided into 8 equal arcs and each arc measures

360/ 8 = 45.

Then, m LNQ = m LM + m MN + m NO + m OP + m PQ = 5(45) = 225.

\($m \angle L R Q=\frac{1}{2}(225)=112.5$\).

Therefore, the measure of < LRQ is 112.5.

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The regular admission cost for one is $4.75.

At the skating rink, Sean and Patrick spent $17.45 on admission and snacks.

They used one coupon for $2 off the admission.

So they spent cost on admission and snacks after off = 17.45 - 2

They spent cost on admission and snacks after off = 15.45

The snacks cost $5.95.

So the cost of admission = They spent cost on admission and snacks after off - The snacks cost

The cost of admission = 15.45 - 5.95

The cost of admission = 9.5

The cost both Sean and Patrick for regular admission = 9.5

So, the cost of Sean for regular admission = 9.5/2

The cost of Sean for regular admission = $4.75

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Answer:

see below

Step-by-step explanation:

h=−4.9t^2 +39.2t

When will if fall back to the ground

When will h=0

0 =−4.9t^2 +39.2t

Factor out a -t

0 = -t (4.9t -39.2)

Using the zero product property

-t =0     4.9t - 39.2 =0

t =0     4.9t = 39.2

               t =39.2 /4.9

              t =8

It will reach the ground again at 8 seconds

The maximum height is halfway between the zeros

(0+8)/2 = 4

It will reach the max height at 4 seconds, substituting this in to find the max height

h=−4.9 (4)^2 +39.2(4)

h = 78.4 meters

This will only be applicable between t=0 and t=8 seconds

0≤t≤8 seconds

Using the binomial probability distribution, the probability of none of the 14 customers ordering a non-alcoholic beverage is approximately 0.000416 or 0.0416%.

We can solve this problem using the binomial probability distribution since we are interested in finding the probability of a specific number of successes (i.e., zero) in a fixed number of independent trials (i.e., 14 customers), where the probability of success (i.e., ordering a non-alcoholic beverage) is known and constant for each trial (i.e., 0.55).

The formula for the binomial probability distribution is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting k successes in n trials

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items, and is calculated as n! / (k! * (n - k)!)

p is the probability of success in each trial

(1 - p) is the probability of failure in each trial

Using this formula, we can calculate the probability of none of the 14 customers ordering a non-alcoholic beverage as follows:

P(X = 0) = (14 choose 0) * 0.55^0 * (1 - 0.55)^(14 - 0)

= 1 * 1 * 0.45^14

≈ 0.000416

Therefore, the probability that none of the 14 customers will order a non-alcoholic beverage is approximately 0.000416, or 0.0416% (rounded to four decimal places).

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