You use a garden hose to fill a wading pool. If the water level rises 17 centimeters every 7 minutes and you record the data point of ​(14​,y), what is the value of​ y? Use slope to justify your answer.

An expression that represents the total amount (a) that Hudson paid is

a-a/10×2+{(a/10×2)/20}.

So, the expression that represents the total amount Hudson paid:

We know that,

Then, the expression can be as follows:

Therefore, an expression that represents the total amount (a) that Hudson paid is a - a/10 × 2 + {(a/10×2)/20}.

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The value after solving the expression will be equal to 6.5.

The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

From the data in the question,

The expression is,

2 - (-4.5)

⇒ 2 + 4.5

= 6.5

Therefore, the result for the expression is 6.5.

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The value of gf(4) is 18

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given,

f(x) = x + 2

g(x) = 3x

Now we need Function of a function

i.e. g[f(x)]

Then on g(x) we have to replace the x with f(x)

Thus,

g[f(x)] = 3(x + 2)

         = 3x + 6

Now by evaluating at

x = 4 i.e.

gf(4) = 3(4) + 6

gf(4) = 12 + 6

gf(4) = 18

Hence, The value of gf(4) = 18

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Considering the figure < 4 ≅ < 5 alternate internal angles

Alternate internal angle theorem is a theorem that holds true when in the occurrence of parallel lines and a transversal line.

Some of the theorems occurring at this stage include

Using the figure.  alternate internal angle theorem proves that

This helps to complete the required proof that < 4 = < 5

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Answer:

---------------------------

Given figure is a parallelogram since opposite sides are parallel.

Therefore the sides between angles 1 & 2 and 3 & 4 are of equal length:

The y-coordinate is 2 when x=0.

The slope or gradient of the line is a mathematical term used to describe the direction and steepness of a line. The ratio of the change in the y coordinate to the change in the x coordinate is known as the slope of a line. Δ y and Δx are the net changes in the y and x coordinates, respectively.

The slope of a line is calculated as the proportion of the rise to the run, or the increasing divide by the run. The coordinate plane, it describes the slope of the line. Finding the slope between two different points and calculating the slope of a line are similar tasks.

The slope-intercept form is y= mx +c

Here, given that slope m=2

Let us consider that the above equation is passing through (2,2)

2=2(2)+c

c=2

y=2x+2

Therefore, when x=0,

y=2(0)+2

y=2

Therefore, the y-coordinate is 2 when x=0

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Answer:

b = 10.06 in

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ (10.5)² = b² + (3)²

→ 110.25 = b² + 9

→ b² = 110.25 - 9

→ b = √101.25

→ [ b = 10.06 in ]

Hence, value of b is 10.06 in.

Answer:600

Step-by-step explanation:

i think

The correct answers are His sample was not drawn at random ,he ought to purchase more fat-free donuts, he may look at the data's histogram to see whether it is roughly typical.

Given that, Bjorn is attempting to calculate the difference between the average sugar level of two distinct kinds of donuts: a fat-free kind and a full-fat variety.

He gathers 60 donuts to test in order to do this: There are 22 fat-free donuts and 38 full-fat donuts. The correct answers are A, D and E He did not get a random sample He should get more fat free donuts He could check the histogram of the data to see if it's approximately normal

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Answer:

Hi! I'm pretty sure the question is: Two cities are 45 miles apart. Two trains, with speeds of 70 mph and 60 mph, leave the two towns at the same time so that one is catching up to the other. How long after the trains leave will they be 10 miles apart for the first time? How long after the trains leave will they be 10 miles apart for the second time?

I have had a similar question before, and I will answer yours. :)

Step-by-step explanation:

T1 - the time the trains are moving to each other.

For time T1, the first train will go the distance of 70*t.

The second train, for time t, will go the distance 60*t.

Both for time t1  - 70t+60(t1) =  (70+60)*(t1).

45 - (70+60)*t is the distance between trains that left after t hours.

For the first time, they will be 10 miles apart when they are moving into each other

45 - (70+60)*t = 10

45-10 = (70+60)*t

35 = 130*t

t=35/130 h =7/26 h = 0.27 h

The train meets when distance = 0

45 - (70+60)*t = 0

45 = 130t

t  =45/130 h = 9/26 h = 0.35 h when trains met.

Trains began to move apart from each other after 9/26 h moving,

After t2 time trains will be (70+60)*(t2) = 130*(t2) mi apart from each other.

130*(t2) =  10

t2 = 1/13h = 0.08h after they met, they are apart from each other 10 mi.

So after the beginning of the movement, it will be time when they met + time when they were moved  10 mi apart from each other

9/26 h+1/13h = 11/26 h = 0.42 h

Dimensions 5in x 10in x 10in will yield a box with a max. volume of  500 cubic inches.

Volume =  height x length x width

Considering 'x' as the length of the square corners that has been cut out from the cardboard and also, that is height of the cardboard box.

Square corners are cut out so that the sides can be folded up to make a box, cardboard sides would reduce by 2x

Therefore,

V = x  (30-2x) (30-2x)                --------------------------------- (1)

V=( 30x - 2x²) (30-2x)

V= 900x- 60x² - 60x² + 4x³

V=  4x³ - 120 x²+ 900x

Taking derivative with respect to x:

dV /dx = 12x² - 240 x +900

dV/dx = 4 (3x² - 60x +225)

For maximum dV/dx, make it equal zero

    dV/dx = 0

⇒  4 (3x² - 60x +225)=0

⇒ 3x² - 60x+225=0   (taking 3 common)

⇒ x² - 20x + 75 =0

Solving this quadratic equation, we get,

x² - 15x -5x + 75 =0

x(x-15) - 5(x-15) =0

Either (x-15)=0

    x=15

Or,  x-5=0

   x = 5

If we substitute x = 15 in equation (1), volume becomes zero.

Therefore, x cannot be 15

When x= 5, putting in the equation (1)

V = 5  (30-2(5)) (30-2(5))

V= 5 (10) (10)

V= 500 cubic inches,

Therefore, Dimensions 5in x 10in x 10in will yield a box with a max. volume of  500 cubic inches

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The function can they use to determine if the error is repeated throughout the dataset is " COUNTA ".

The given condition needs the following function;

Data Integration Error:

Data from a single source, obtained and entered in the same way across time is unusual to be present in a database of significant size and age. A database frequently comprises data that has been gathered over time from various sources using various ways. As an illustration, consider how the meaning of "affected" is evolving or changing as the crisis progresses and the number of people affected is tracked over time. In addition, many databases evolve in practice by joining together different pre-existing databases. Almost always, the databases involved in this merging effort include discrepancies involving various data units, measurement intervals, formats, etc. Any process that combines data from various sources has the potential to make mistakes. When two or more databases are combined, errors will be found where there are discrepancies between the databases as well as new errors will be produced (i.e. duplicate records). A few potential origins and types of errors in a big assessment are shown in Table 1 below, at three fundamental levels: after completing the survey, when adding information to the database, and when conducting the analysis.

So, we use " COUNTA "

The function can they use to determine if the error is repeated throughout the dataset is " COUNTA ".

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Answer:

477,577 lb

Step-by-step explanation:

Volume of sphere:

V = (4/3)πr³

V = (1/2)(4/3)(3.14159)(14 ft)³ = 5,747.015 ft³

d = 83.1 lb/ft³

W = Vd

W = 5,747.105 ft³ × 83.1 lb/ft³

W = 477,577 lb

There is a 136.13 probability that 3 won't increase.

Only 0.65% of seeds will grow into robust plants.

There is a 0.35 probability that a seed won't grow into a robust plant.

In this case, n = 12 and r = 3.

11 seeds will sprout if 1 seed doesn't germinate. Raising 0.65 to the power of 11 and 0.35 to the power of 3 will result in the following: 11 seeds develop, and we use the 11th power; 3 seeds do not grow, so we use the power of 3:

So, the response is:

[tex]{}^{12}C_3[/tex] × [tex]{(chance of successful growth) }^{11}[/tex]x [tex](chance of Unsuccessful growth)^3[/tex]

= [tex]{}^{12}C_3[/tex] × [tex]0.65^{11}[/tex] × [tex]{0.35}^3[/tex]

= 362880 × 0.008750 × 0.042875

= 136.13

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Answer:

[tex]y=2x+4[/tex]

Step-by-step explanation:

The slope of the given line is [tex]\frac{-2-4}{-2-1}=2[/tex].

Parallel lines have the same slope, so the equation is:

[tex]y-6=2(x-1) \\ \\ y-6=2x-2 \\ \\ y=2x+4[/tex]

Answer:

Decagon

Step-by-step explanation:

Because it has 10 sides.

Answer:

Its a Decagon

Step-by-step explanation:

Yes the diagram has enough information to prove that line segment JK is parallel to line segment ML

A rectangle is a polygon that has four sides. the two opposite sides are parallel to each other.

The given figure is a rectangle and according to the figure line LK is equal to line JM

This defines a parallel line which are lines that are equally spaced apart such that the lines will never meet

hence line segment JK is parallel to line segment ML since they are equally spaced, the spacing is achieved by line segment LK and line segment JM

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He can wear 24 different  outfits can he wear to school .

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words indicates "Selection of things," where the order of the items is irrelevant.

Given:

Juan owns 8 pairs of pants, 1 shirt, 3 ties and  1 jacket

So, number of outfits can he wear to school is

= 8 x 1 x 3 x 1

=24

Hence, he can wear 24 different  outfits can he wear to school .

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The expression that represents "10 subtracted from the quotient of 3 and a number" is D. 3 over n - 10.

An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Let the number be n

The expression will be:

= 3/n - 10

Therefore, the correct option is D.

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Answer:

0.538 as a fraction in its simplest form is 269/500

Step-by-step explanation:

We all know that 0.538 can be written as 0.538/1

Multiply the numerator and denominator by 1000 which comes out to 538/1000

Divide the numerator and denominator by 2 which comes out to 269/500

Since 269 is a prime number 269/500 is 0.538 in its simplest form

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Answer:

2.2360679775 or 2.24

The temperature on the fifth day in January is -7°C.

It should be noted that a mean simply means the average of a set of numbers that are given.

Since the mean temperature for the first 4 days in January was 3°C. The rural temperature will be:

= 4 × 3°C

= 12°C

The mean temperature for the first 5 days in January was 1°C. The total temperature will be:

= 5 × 1°C

= 5°C

The temperature of the fifth day will be the difference between the temperature. This will be:

= 5°C - 12°C

= -7°C

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Answer:

d is correct

Step-by-step explanation:

[tex].25p = 10[/tex]

[tex]p = 40[/tex]

So d is correct.

The correct description of the graph of the inequality x - 3 ≥ 5, is: D. Closed circle on 8, shading to the right.

An inequality statement compares two unequal quantities. When plotting the graph of an inequality, if the inequality sign involve is "< or >", an open circle is used to mark the value of the variable on the number line, while a closed circle is used when the inequality sign involved is, "≤ or ≥".

Given the inequality, x - 3 ≥ 5, solve for x:

x - 3 ≥ 5

Add 3 to both sides

x - 3 + 3 ≥ 5 + 3 [addition property]

x ≥ 8

This means the possible values of x are greater than or equal to 8. The graph of the inequality would have a closed circle at 8, with the line shaded to the right on the number line.

The correct description is: D. Closed circle on 8, shading to the right.

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The unit rate for $210 of 17 ft² rounded to the nearest hundredth is equal to 12.

A conversion factor simply refers to a number that is typically used to convert a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal numerical value must be used when it is necessary to perform any mathematical conversion.

Conversion:

210 dollars = 17 square feet.

x dollar = 1 square feet.

Cross-multiplying, we have:

17x = 210

x = 210/17

x = 12.35 ≈ 12

Therefore, the unit rate is equal to 12.

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The two fractions which give the product of 5/6 are 1/3 and 5/2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the fraction is 5 / 6. The two fractions will be calculated as,

5 / 6 = ( 1 / 3)  x ( 5 / 2)

The product of the two fractions is,

( 1 / 3)  x ( 5 / 2) = 5 / 6

Therefore, the two fractions which give the product of 5/6 are 1/3 and 5/2.

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Answer:

[tex]1.8 \times {10}^{2} = 180[/tex]

Step-by-step explanation:

[tex] \frac{9 \times {10}^{5} }{5 \times {10}^{3} } = \frac{9}{5} \times \frac{ {10}^{5} }{ {10}^{3} } = 1.8 \times {10}^{2} = 1.8 \times 100 = 180[/tex]

Answer:

-.5

Step-by-step explanation:

u=2+-2.5=.5