You are working on an air conditioning system. A roll of cylindrical copper tubing has an outside diameter of 78 inch and an inside diameter of 34 inch. How much refrigerant can 12 feet of the tubing hold?.

Answer:

25

Step-by-step explanation:

Let x be the mystery number.

The minimum number of factors a number can have is two:

(These numbers are called prime numbers).

If a number has exactly 3 factors, it must be an perfect square number since every perfect square has an odd number of factors and any number that is not a perfect square will have an even number factors..

Odd square numbers between 20 and 30:

Factors of 25:  1, 5 and 25.

Therefore, Grey's mystery number is 25.

Proof:

The condition under which someone becomes more rational is when someone provided probability information.

Probability gives information about the likelihood that something will occur. For instance, weather patterns are used by meteorologists to predict the possibility of rain. Probability theory is utilized in epidemiology to comprehend the connection between exposures and the risk of health outcomes.

Everyday existence heavily relies on probability. In the analysis of political strategies, the determination of blood types, sports and gaming strategies, purchasing or selling insurance, online shopping, and online games.

Thus, having knowledge about probability makes someone more rational.

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The length of segment FG is 26 feet.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.

Given that line CE  bisects line FG.

DG= DE,

The length of segment CE is forty two feet.

CE=42 feet.

The length of segment CD is Twenty nine feet.

CD=29 feet.

We need to find the length of FG.

Firstly let us find the length of DE.

CE-CD=DE

42-29=13 feet.

As DG=DE then the length of DG is 13 feet.

DG=DF=13

FG=DG+DF

=13+13=26 feet.

Hence, if line CE bisects line FG, DG= DE, CE= 42 feet and CD= 29 feet then FG is 26 feet.

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After six years, the population will grow to 586,455 if compounded annually at a rate of 7.5%.

This is exactly like a compound interest problem where the interest rate is 7.5% compounded annually for 6 years.

If we use the compound interest formula A = P(1+r/n)nt where A is the end amount to be found, p = initial amount (p= 380,000), n = number of times the interest is compounded annually (n= 1) and t is the time in years (t=6)

A = 380,000(1 + .075/1)1(6)

A = 380,000(1.075)6

A = 586,454.58 people

Rounded to the nearest whole number

the population after 6 years should be

586,455 people

Hence we get the required answer.

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Your question is incomplete. Please find the missing content below.

A city has a population of 380,000 people. suppost that each year the population grows by 7.5%. what will be the population after 6 years.

The method to find the domain and range of the line graph is shown below .

In the question ,

we have to explain how we can find the domain and range of a line graph that is linear function .

we know that ,

Domain is the set of all possible input values , which produce a valid output from a particular function. It is set of all values for which the function is mathematically defined.

For Example ,

let the linear function be ⇒ f(x) = 2x + 1 ,

for the function every real number is a possible input .

thus ,  function's domain is all real numbers .

A line graph (shown below) , will extend forever in either y direction.

The range of linear function is all real numbers .

Therefore , the method to find the domain and range is explained above .

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The corresponding angle to angle 4 is angle 8.

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The length of a rectangle is found to be 18 cm.

An enclosed 2-D shape plane called a rectangle has four sides, four corners, and four right angles (90°). It has equal and parallel opposite sides. Because a rectangle is a two-dimensional form, it has length and width as its two dimensions. The length of a rectangle is considered as its longer side; its breadth is considered as its shorter side.

The perimeter of the rectangle is given as 54 cm. Let's consider the length of the rectangle as x and the width as y.

The formula to calculate the perimeter is 2(x+y).

The length is given as 2y.

Then, the perimeter is,

[tex]\begin{aligned}\text{Perimeter}&=2(2y+y)\\&=4y+2y\\&=6y\\54&=6y\\y&=\frac{54}{6}\\&=9\end{aligned}[/tex]

Then, the length is 2y=2×9=18.

The answer is 18 cm. Therefore, the correct option is option a.

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The slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Let the given points as shown:

(x1,y1)= (-5, 6) and (x2,y2)= (-9, -6)

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

                 = (-6-6) /(-9-(-5))

                 = -12/-4

                 = 3

So, the slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

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Answer:

Step-by-step explanation:

Line 1: -3y = 2x + 6 Line 2: (2/9)y - 4 = (1/3)(x - 18)

Medical institution 64 grams of bismuth-214 must be prepared.

A medical institution is a facility in which medical care is provided. It can be a hospital, clinic, nursing home, or other type of health care facility. Medical institutions provide a wide range of services including diagnosis, treatment, and preventive care. In addition to providing direct patient care, they also provide educational opportunities, research, and administrative services. Medical institutions are staffed by a variety of healthcare professionals such as doctors, nurses, allied health professionals, and administrative staff. They are responsible for providing quality care to their patients and ensuring the safety and wellbeing of their staff and visitors.

Given: 2 hours = 20 minutes

If each half life is 20 minutes, and 2 hours (120 minutes) go by,

then n = 6 ( [tex]\frac{120}{20}[/tex] )

The setup is as follows:

[tex]1g=m_{i}(\frac{1}{2}) ^{\frac{120}{20} }[/tex]

[tex]1g=m_{i}(0.015625)[/tex]

[tex]\frac{1}{0.015625} =64g[/tex]

Hence, 64 grams of bismuth-214 must be prepared if the shipping time is 2 hours.

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Total cost , C become 30 + 10m

What do you mean by algebraic expression?

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

It is given that the registration fees is $30 and monthly fees be $10

Let the number of months be represented by m

Total cost, C = 30 + 10m

Therefore, Total cost , C become 30 + 10m

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The mass of an object on the moon will be same that is 20 Kg when it's mass on the Earth is 20 Kg .

In the question ,

it is given that ,

the mass of the object on the Earth is 20 Kg .

we have to find the mass of the same object on the moon ,

We know that Mass is defined as the numerical measure of its inertia ,

and weight is calculated as

weight = mass × gravity ,

and mass is a constant quantity ,

So , the mass remain unchanged that is 20Kg .

Therefore , the mass of the object on the moon will be same as of Earth that is 20 Kg .

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The first rider the displacement is, 17 km.

And the 2nd river the displacement is 20.22 km.

What is right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.

It is asked in this problem is who's displacement is greater (not distance) it means that the shortest distance of starting and ending point with direction from start and end.

Here we have two triangle with two arm know for both.

So we have to find the 3rd arm for both triangle.

Now we have for a right triangle

a^2 + b^2 = c^2

For other triangle we know the cosine law of triangle is,

a^2 + b^2 - 2ab cosθ = c^2

θ is the opposite angle of c

For the first rider the displacement is,

[tex]c = \sqrt{a^2 +b^2} = \sqrt{8^2 + 15^2} = 17 km[/tex]

For the 2nd river the displacement is

[tex]c = \sqrt{a^2 + b^2 - 2abcostheta}[/tex]   θ = 120°

[tex]c = \sqrt{a^2 - b^2 - 2ab cos(120)} \\c = \sqrt{(8^2 + 15^2 - (2*8*15cos(120))} \\c = \sqrt{289 - 240 cos(120)} \\c = \sqrt{289- (-120)} \\c = \sqrt{409}\\ c = 20.22 km[/tex]

Hence, the first rider the displacement is, 17 km.

And  the 2nd river the displacement is 20.22 km.

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The required amount that Ethan have to pay is $32.

A sales discount is a marked down cost presented by a business on an item or administration. Figure out how to remember limits for solicitations. A deals rebate, likewise usually known as only a 'markdown' furnishes clients of a business with a diminished rate on at least one of the items or administrations being advertised.

We have,

Selling price = $39.99

Discount = 20%

20% of $39.99 = 20×$39.99/100

⇒ $7.99

So the payable amount for video game = $39.99 - $7.99

⇒ $32

Thus, required price is $32.

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Answer: A :)

Step-by-step explanation:

Answer:

84%

Step-by-step explanation:

To find the mean, you use a formula.

You add up all the numbers, then divide that by how many numbers you have:

80 + 92 + 80 + 84

336 / 4 = 84

thus 84 is the answer

the 165 different committees are possible in combination.

What is combination?

If the order of the selections is unimportant, a combination is a mathematical choice made from a collection of various elements (unlike permutations). An apple and a pear are just one of three conceivable combinations if three fruits, such as an orange, an apple, and a pear, are provided. A k-combination of a set S is, technically speaking, a subset of the k distinctive elements of S. Alternatively said, two combinations are identical if and only if they have the same members. (How each set's members are ordered is not crucial.) the number of k-combinations given a set of n elements

That would be equal to the Combinations of 11 items taken 3 at a time.

C(n , k) = n!/[k!(n - k)!]

= 11!/[3!*(11 - 3)!]

= 11!/(3!*8!)

= 11*10*9/3*2

= 15*11

=165

Hence the 165 different committees are possible in combination.

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The expression that is equivalent to the given expression is 4√5.

What is simplification?

Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Here, we have

Given: √80

We have to find which expressions are equivalent to the given expression.

For this, we first evaluate all options and see which option is suitable for the given expression.

160 ≠ √80

4√10 = 16 ×10 = 160 ≠ √80

4√5 = 16 × 5 = √80

8√5 = 64 × 5 ≠ √80

Hence, the expression that is equivalent to the given expression is 4√5.

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The probability of the result is 11/21.

A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.

Ray has 4 even numbered cards and 5 odd numbered card.

Ray takes at random three of these cards.

Let, all the three cards are even numbered card.

So, the sum of even numbers is even.

Suppose, two cards are odd numbered and one card is even numbered.

And the combination of 2 odd numbered card and one even numbered card is even.

Now, the possible outcomes;

= {C³₄ + C¹₄C²₅} / C³₄

In order to solve the combination:

Simplify,

{C³₄ + C¹₄C²₅} / C³₄

= [ 3! / {4! x (4-3)!} + 1!/{4! x (4-1)!} x 2!/{5! x (5-2)!} ] / [3! / 4!x (4-3)!]

= 11/21

Therefore, the probability is 11/21.

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Answer:

Butane Gas

Step-by-step explanation:

When you add butane gas to soapy water, it reacts with a lighter/fire and will burst into flames. An example video should show up if you search for burning hand fire experiment online.

There are 4 ways are there to color the five squares

Given that

Reds cannot be placed close to one another per the regulations, so the three reds must be placed in squares 1, 3, and 5.

We can use either yellow or blue in Square 2. There is only one color remaining for square 4 after each of those decisions.

There are 4 ways.  

Red  Yellow  Red  Blue  Red  

Red  Blue  Red  Yellow  Red  

Red  Yellow  Red  Yellow  Red  

Red  Blue  Red  Blue  Red  

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Yes a sound argument has true conclusion this statement is true.

1. A valid argument must have a true conclusion.

This statement(1) is false. A valid argument must have a true conclusion only if all of the premises are true.  So it is possible for a valid argument to have a false conclusion as long as at least one premise is false.

2.A sound argument must have a true conclusion.

This Statement(2) is true.

If an argument is sound, then it is valid and has all true premises.  Since it is valid, the argument is such that if all the premises are true, then the conclusion must be true.  A sound argument really does have all true premises so it does actually follow that its conclusion must be true.

3. If a valid argument has a false conclusion, then at least one premise must be false.

this statement(3) is true

A valid argument cannot have all true premises and a false conclusion.  So if a valid argument does have a false conclusion, it cannot have all true premises.  Thus at least one premise must be false.

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Note that this line is in form y = mx + b, where b is the y intercept and m is the slope.

Y intercept is the value of y at x = 0

The function starts at y = 6

Slope is 1/4, meaning that for every 4 x the line travels, it goes up 1.

This is what the graph would look like:

(see image)

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

The best and most correct answer is 2x greater then zero which satisfy the condition.

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

If x ≥ 0, then we need to find x+|x|

Since {x | x < 0} and {x | x > 0} there is no number that is less than zero and greater than zero at the same time.

WE need to add here;

x+|x|  = 2x

Therefore, we can see that 2x is greater then zero which satisfy the condition.

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The slope percentage of the given ratio i.e. 1:12 is 83.33%.

You can determine the slope percentage by dividing the elevation change by the horizontal distance covered (sometimes called "the rise divided by the run") and multiplying the result by 100. The "run" assumes a flat surface - it doesn't account for elevation change when factoring in the actual distance traveled.

Example: let’s assume a mountaineer climbs 1,000 feet in altitude (the rise) and the horizontal distance measured on the map is 2,000 feet (the run).

thus, 1,000/2,000 = 0.5

Multiply 0.5 by 100 to derive the percent of the slope, which is 50%.

Hence, the slope percentage of 1:12 is = (1/12) x 100

                                                                  = 8.33 x 100

                                                                = 83.33 %.

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The complete question is -

What is the slope percentage of 1:12?

Answer:

If a shirt is on sale for 25% off and the original price was $120, then the sale price is $90. This is because 25% of $120 is $30, and when we subtract this amount from the original price, we get $120 - $30 = $90.

In general, if an item is on sale for x% off and the original price was y dollars, then the sale price is y - (x/100) * y dollars. For example, if the discount is 25% and the original price is $120, then the sale price would be $120 - (25/100) * $120 = $90.

Step-by-step explanation:

Answer:

The sale price is $90

Step-by-step explanation:

Now,

(120 × 25) ÷ 100 = $30

Here, we get 25% of $120 is $30

So,

$120 - $30 = $90

Thus, The sale price is $90

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Answer: 24 cm

Step-by-step explanation:

51cm is the hypotenuse, so that it will be C in the equation!

45^2 + b^2 = 51^2

2025 + b^2 = 2601

b^2 = 576

b = 24 cm