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The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 13 fl oz per hour. How fast was the pipe leaking in gallons per
day?
qal/day

Step-by-step explanation:

51 is not a prime number because it is divisible by 1,3 and 17

and we know prime number are only those number who arenot divisible by any other number except 1

Answer:

57 is divisible by 1,3,19 and 57

Step-by-step explanation:

A prime number is a number that is divisible only by 1 and itself; and 57 is not among the numbers like 2,3,5,7,11 etc

Answer:

Jerry's Running

Step-by-step explanation:

Joey's biking:

32/4=8 Not this one.

Jaclynn's Shopping:

24/3=8 Not this one.

Josephine's Grapes:

4/0.5=8 not this one

Jerry's Running:

2/8= .25 This one is correct

Option C : The slope is constant for all three pairs of points, we can conclude that the rate of change of the linear relationship is 3/2.

To find the rate of change of a linear relationship, you need to calculate the slope of the line that represents the relationship. The slope of a line can be calculated as the change in y divided by the change in x between any two points on the line.

The rate of change of a linear relationship is equal to its slope.

Using the points (1, 2) and (3, 5) to calculate the slope:

slope = (change in y) / (change in x) = (5 - 2) / (3 - 1) = 3/2

Using the points (3, 5) and (5, 8) to calculate the slope:

slope = (change in y) / (change in x) = (8 - 5) / (5 - 3) = 3/2

Using the points (5, 8) and (7, 11) to calculate the slope:

slope = (change in y) / (change in x) = (11 - 8) / (7 - 5) = 3/2

This means that for every increase of 1 in x, the y value increases by 3/2. So the rate of change of the linear relationship is 3/2 or "three over two". Therefore, the rate of change of the linear relationship is 3/2.

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What is the rate of change of the linear relationship modeled in the table?

x y

1 2

3 5

5 8

7 11

Group of answer choices

A. negative three over two

B. two over three

C. three over two

D. 1

To find the amount of oatmeal in ounces for 1 ounce of milk, we use the following proportion

Now, we solve for x.

So, for 1 ounce of milk, the amount of oatmeal is 4/5 ounces.

Now, let's find the amount of milk for 5 1/10 ounces of oatmeal.

Now, we solve for x

Hence, there are needed 6 3/8 ounces of milk to get 5 1/10 ounces of oatmilk.

Price Ceiling: A price ceiling is a government-imposed maximum price set below the equilibrium market price.

It is intended to protect consumers by keeping prices low and affordable for certain goods or services.

Price ceilings are often implemented during times of market shortages or to control inflation.

Price Floor: A price floor is a government-imposed minimum price set above the equilibrium market price.

It is intended to protect producers by ensuring they receive a certain level of income for their goods or services.

Price floors are often used in agricultural markets or to establish minimum wage laws.

Value-based Pricing vs. Cost-based Pricing: Both value-based pricing and cost-based pricing approaches have their advantages and disadvantages.

Value-based pricing focuses on determining the perceived value of a product or service to customers and pricing it accordingly.

This approach considers the benefits and value that customers derive from the product and sets the price based on what customers are willing to pay.

Value-based pricing allows for higher profit margins and takes into account customer preferences and willingness to pay.

Cost-based pricing, on the other hand, sets prices based on the production costs and desired profit margin.

It involves calculating the total cost of producing the product and adding a markup to determine the selling price.

Cost-based pricing is more straightforward and easier to implement, as it relies on the actual costs incurred in producing the product.

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Rule for a reflection across the x axis:

(x,y) → (x,-y)

H¹ → ( 4, -1)

I¹ → (4, 3)

G¹ → (1, 0)

Answer:

I dont. understannnnd

The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

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Answer:

1

Step-by-step explanation:

it's basically the peak/ center.

Answer:

Volume of a cube = side * side * side

length of 1 side = cube root of 64 = 4 cm

Therefore, each picture is 4 cm by 4 cm

Step-by-step explanation:

Answer:

25 percent the answer is 25 percent I'm pretty sure. cause it's just 112.5/450

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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The value of the function h(x) at x equal to 4 is -2.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given function is  h(x) = -x + 2, the value of the function at x equal to 4 will be calculated as below:-

h(x) = -x + 2,

h(x) = -(4) + 2,

h(x) = -2

Therefore, the value of the function h(x) at x equal to 4 is -2.

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Step-by-step explanation:

126 ski sets  /  (3 ski sets / 5 snowboards)

= 126 * 5/3 = 210 snowboards

The expression 16p⁴ will be written as (2p)⁴.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

16p⁴  = ( 2 x 2 x 2 x 2)p⁴

16p⁴  = 2⁴ x p⁴

16p⁴  = ( 2p )⁴

Therefore, the expression 16p⁴ will be written as (2p)⁴.

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The estimated volume of the solid above the square R, using the given method, is X cubic units.

To estimate the volume of the solid above the square R, we can divide the square into nine equal sub-squares. Each sub-square has dimensions of 1/3 units in length and width. By choosing the sample points to lie in the midpoints of each sub-square, we can approximate the height of the solid at those points.

For each sub-square, we calculate the height of the solid at its midpoint by substituting the coordinates into the equation of the elliptic paraboloid, z = 25 - x² + xy - y². This gives us the z-coordinate for each midpoint.

Next, we calculate the volume of each sub-solid by multiplying the length, width, and height of each sub-square. Summing up the volumes of all nine sub-solids gives us an estimate of the total volume of the solid above the square R.

It is important to note that this method provides an approximation of the volume, as we are dividing the square into a finite number of sub-squares and using only the sample points at their midpoints. The accuracy of the estimation depends on the size and number of sub-squares chosen.

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Answer:

It's A I hope that helps

Step-by-step explanation:

The given statement " When the film is placed into the XCP (extension cone paralleling) holder with the smooth side of the film towards the throat, after processing, it will appear darker" is false because it will  lighter, not darker.

The smooth side of the film is the side that interacts with the X-ray radiation and receives the image, while the emulsion side contains the light-sensitive crystals that react to the radiation.

Placing the smooth side towards the throat ensures that the image is sharp and clear, as the X-ray beam travels through the teeth and soft tissues before reaching the film.

After processing, the exposed areas of the film turn dark, representing the captured X-ray image, while the unexposed areas remain light or clear.

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Answer:

d = 240 - 44t

Step-by-step explanation:

Distance of the raft to the waterfall

The raft is heading for the waterfall, therefore, the distance between the raft and the waterfall is diminishing.

Waterfall=240 ft from the tunnel

Speed of the raft =44 ft per second

Therefore the equation of a function rule that represent the distance of the raft to the waterfall is:

d = 240 - 44t

Where t=time in seconds

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the coefficient of the expression is +2 .

hope this helps.

Answer:

Please provide more information. Since you don't provide the original amount of walnuts used, we can't solve the problem.

Answer:

No it does not, as it does not show a constant rate of change.

Hope that helps!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

In order for it to be a function, every x value should only have one y value.  This table shows 1, 2, 3, 4 only showing up once in the x column and so they each are paired with only one y value.  Therefore, it is a function.

Answer: 3/16(x+4)(x-4)(x-2)

Step-by-step explanation:

Steps to solve:

f(x) = 14 - 0.5x when x = 30

~Substitute

f(30) = 14 - 0.5(30)

~Simplify

f(30) = 14 - 15

~Subtract

f(30) = -1

Best of Luck!

Answer:

Mixed Fraction: \(5\frac{1}{5}\)

Improper Fraction: \(\frac{26}{5}\)

Step-by-step explanation:

\(\mathrm{Rewrite\:as}\)

\(=5+0.2\)

\(\mathrm{Convert\;0.2\;to\;a\;fraction}:\frac{1}{5}\)

\(=5+\frac{1}{5}\)

\(=5\frac{1}{5}\)

\(\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}\)

\(5\frac{1}{5}=\frac{5\cdot 5+1}{5}=\frac{26}{5}\)

\(=\frac{26}{5}\)

~lenvy~

Hello!

First, let's convert 5.2 into a fraction:

\(\bf{5\displaystyle\frac{2}{10} }\)

Simplify:

\(\bold{5\displaystyle\frac{1}{5}}\)

We turned this number into a mixed number.

That's why it's mixed - we have a whole number and a fraction.

Now, convert the mixed number into an improper fraction.

Step 1: Multiply the whole number times the denominator.

5×5=25

Step 2: Add the numerator.

25+1=26

The denominator stays the same.

Therefore, the answer is

\(\bold{\displaystyle\frac{26}{5}}\)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning :-)

The system of equations that can be used to determine a and y are  

x+ y=10

x+3y=18

When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. In English, an equation is defined as a properly written formula that consists of two expressions joined by an equals sign, while cognates of the word in other languages may have slightly different meanings. An equation, for instance, is said to have one or more variables in French.

Determine which values of the variables result in the equality to be true in order to solve an equation with variables. The values of the variables that must fulfill the equality to constitute the answer are known as the unknowns, together with the variables for which the equation must be solved.

Let x be the number of blocks of one inch

And y be the number of three inch blocks

The number of blocks must be 10

Therefore, x+y=10

The length  of the line is 18 inches long.

So, x+3y=18

Therefore,  x+ y=10

x+3y=18

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Answer:

x=9

Step-by-step explanation:

Answer:

y = 107 z = 73 x = 73

Step-by-step explanation:

Y and 107 are the same angle 107 + 73 = 180

The missing information in the square is option(b) x = 4y = 4 √(2) and y = 4.

Given square PQRS, the task is to determine the missing information. A square is a quadrilateral with four equal sides and four equal angles.

The coordinates of the vertices of a square are (x,y), (x+4,y), (x+4,y+4) and (x,y+4).

The missing information, x and y, can be found by solving the equations that represent the sides of the square. We can start by solving for x.

The equation for the side PQ is x + 4y = 2 √(2). Solving this equation for x gives x = 4y - 8 √(2).

Similarly, the equation for the side RS is x + 4y = 4 √(2). Solving this equation for x gives x = 4y = 4 √(2).

Therefore, the missing information is x = 4y = 4 √(2) and y = 4.  

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