Mathematics High School

A graph with hours on the x-axis and height (inches) on the y-axis. A line goes through points (1, 2), (2, 4), and (3, 6).

Which describes the pattern of the data in the graph?
a. The water level increases by 1 inch each hour.
b. The water level increases by 2 inches each hour.
c. The water level increases by a factor of one-half each hour.
d. The water level increases by a factor of 2 each hour.

Answers

Answer 1

The water level increases by 2 inches each hour.

How to determine which describes the pattern of the data in the graph?

The points on the graph are given as

(1, 2), (2, 4), and (3, 6)

Next, we calculate the slope of the line, as follows:

Slope = [y2 - y1]/[x2 - x1]

So, we have

Slope = [4 - 2]/[2 - 1]

Evaluate the quotient

Slope = 2

The above means that, the water level increases by 2 inches each hour.

Related Questions

How many times greater is 70,000 than 7,000?

Answers

Answer

70.000 в 10 раз больше 7.000

Step-by-step explanation:

1. f(3)=2x-5 (show work)

Answers

Answer:

The answer is 1

Step-by-step explanation:

On a graph, it would be at the plot point (3,1)

Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above. Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift left 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2 Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2 Shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6 Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift right 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2

Answers

The sequence of transformations could be applied to the parent function, f(x) = x, to obtain the graph is E. Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2.

What is transformation?

It should be noted that transformation simply means the movement of an object from a position to another position.

In this case, the sequence of transformations could be applied to the parent function, f(x) = x, to obtain the graph is to shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2.

Therefore sequence of transformations could be applied to the parent function, f(x) = x, to obtain the graph is E. Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2.

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How many 5-letter words can be made from the letters WASTEFUL if

repetition of letters is allowed? And if repetition is not allowed

Answers

Answer w a s t e f u l

Step-by-step explanation:

theres 7 words on it

which is the midpoint of AB?
Please help I’ll give Brainliest answer to whoever is correct

Answers

Answer:
C. 1

Explanation:

5 1-3a

Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma
($2,354.67). All percentage values in the answers need to include a percentage sign (%). For all items without specific rounding instructions, round your answers to two decimal
places, show both decimal places (5.06).
The variance of a distribution is 195. What is the standard deviation, rounded to the nearest thousandth?

Answers

Applying the square root of the variance, the standard deviation of the distribution is of 13.964.

What is the standard deviation of a distribution?

The standard deviation of a distribution is given by the square root of the variance of the distribution.

For this problem, the variance of the distribution is of 195, hence the standard deviation is:

s = sqrt(195) = 13.964.

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Evaluate the expression when a = 7 and c= -3.
-a+4c

Answers

Hello,

[tex] - a + 4c = - 7 + 4 \times ( - 3) = - 7 - 12 =- 19[/tex]

Answer:

-19

Step-by-step explanation:

-7 + 4(-3)

-7 - 12= -19

A straight line has a gradient of 4 and passes through the point (2,9).
Work out the equation of the line.
Give your answer in the form y = mx + c, where m and c are integers or
fractions in their simplest forms.

Answers

The equation of the given line passes through the point (2,9) y = 4x + 1.

What exactly is the slope of a line?

The slope of a line indicates its steepness. The slope is determined mathematically as "increase over run" (change in y divided by change in x).

A line equation is defined as:

The conventional form of a line equation is ax + by + c = 0. Here, the coefficients are a and b, the variables are x and y, and the constant term is c. It is a one-degree equation with variables x and y. The coordinates of both the point on the line that appears in the coordinate plane are represented by the values of x and y.

According to the given data:

m = 4

equation of the line = y = mx + c

substituting the value of m = 4

y = 4x + c

the point (2,9):

putting the points in the line of the equation:

x = 2

y = 9

So,

y = mx + c

9 = 4 * 2 + c

9 = 8 + c

c = 1

The equation of the given line y = 4x + 1.

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Answer:

y=4x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-9=4(x-2)

y=4x-8+9

y=4x+1

8+3a+7b-5+2a-7b combine like terms means to add the coefficients (numbers) in front of like variables

Answers

5a + 3

3a + 2a = 5a
7b - 7b = 0
8 - 5 = 3

aaliyah compares the heights of two plants to see which plant grows more per day. The table shows the height of Plant 1, in centimeters, over 5 days. The graph shows the height of Plant 2, in centimeters, over 10 days. aaliyah says that since Plant 1 grows 4cm per day and Plant 2 grows 6cm per day, plant 2 grows more per day. Do you agree with aaliyah? Explain your response.

A. I agree that plant 2 grows more per day than plant 1, but I disagree with aaliyahs's reasoning.

B.

I think that plant 1 grows more per day than plant 2, but I agree with aaliyah's reasoning.

C.

I think that plant 1 grows more per day than plant 2, and I disagree with aaliyahs's reasoning.

D.

I agree that plant 2 grows more per day than plant 1, and I agree with aaliyah's reasoning.

Answers

The table that shows the growth rate of Plant 1 which is 4 cm/week, and the graph that gives the growth rate of Plant 2 as 2 cm/week gives the correct option as C;

C. I think that plant 1 grows more per day and I disagree with Aaliyah's reasoning

What is a proportional relationship?

A proportional relationship between two variables is one in which one variable is a multiple of the other.

The possible table in the question is presented as follows;

Plant 1

Week; 2, 3, 4, 5Height; 8, 12, 16, 20

The values on the graph are;

Plant 2

Week; 2, 4, 6, 8, 10Height; 4, 8, 12, 16, 20

The rate, r1, of growth of Plant 1 is therefore;

r1 = 8 cm/(2 weeks) = 4 cm/week

The rate, of growth, r2, of plant 2 is found as follows;

r2 = 4 cm/(2 weeks) = 2 cm/week

Given that Plant 1 grows faster at 4 cm/week, than Plant 2, that grows at 2 cm/week, the correct statement is since Plant 1 grows 4 cm/week and Plant 2 grows 2 cm/week, Plant 1 grows more per day.

The correct option is therefore;

C. I think that plant 1 grows more per day and I disagree with Aaliyah's reasoning

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Simplify the expression.
a + b + 2a + 2b + 5 - b
3a + 2b + 5
3a + 4b + 5
2a + 4b + 5
2a + 2b + 5

Answers

Answer:

the answer is 3a+2b+5.

I hope this will help

f(x) = x²
What is f(x) + f(x) + f(x)?

Answers

The result of the given expression f(x) + f(x) + f(x) = 3x².

What is defined as the quadratic function?

A quadratic function is one of the following: f(x) = ax² + bx + c, where a, b, and c are positive integers and an is not equal to zero.

A parabola is a curve that represents the graph of a quadratic function. Parabolas can open up or down, and their "width" or "steepness" can vary, but they all share the identical basic "U" shape.A quadratic equation is defined in mathematics as an equation of degree 2, which means that the highest exponent of the this function is 2.

As per the given question;

f(x) = x²

Now, we have to estimate the value of the function;

= f(x) + f(x) + f(x)

Substitute the value of f(x).

= x² + x² + x²

= 3x²

Thus, the value of the given function is found as 3x².

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7. Kevin can run a lap around the field in 4-6 minutes. If he has 30 minutes to run, how
many laps is he able to finish?

Answers

The number of laps that Kevin can run is 5 laps.

How to calculate the number of laps?

From the information, Kevin can run a lap around the field in 4-6 minutes and he has 30 minutes to run.

Therefore, the number of laps that he can run will be:

= Total minutes / Time taken for each lap

= 30 minutes / 6

= 5 laps.

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State the property that justifies the statement.
If x/3=-15, then x=-45.

Answers

The value of x will be -45 by the multiplicative property for the given expression x/3=-15.

What is an expression?

The mathematical expression is the combination of 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 be used to denote the logical syntax's operation order and other properties.

The given expression is x/3=-15. The value of x will be calculated as below:-

x/3=-15.

x = -15 x 3

x = -45

Therefore, the value of x will be -45 by the multiplicative property.

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Name the geometric term modeled by the given object.
a telephone pole

Answers

The geometric term modeled by the given object (a telephone pole) is a line

How to determine the geometric term?

The given object is a telephone pole

The pole of a telephone pole is often straight.

This means that the telephone pole can be modelled by a line segment

Hence, the geometric term modeled by the given object (a telephone pole) is a line

Answers

By applying the criterion of the law of cosine, the triangle presented in the picture is possible.

Is this triangle possible?

Herein we find an hypothetical triangles with all side lengths known. A criterion is using the law of cosine, a possible triangle has cosine values between - 1 and 1. Then, we proceed to check for each side:

cos A = - (a² - b² - c²) / (2 · b · c)

cos A = - (25² - 2² - 24²) / (2 · 2 · 24)

cos A = - 0.469

cos B = - (b² - a² - c²) / (2 · a · c)

cos B = - (2² - 25² - 24²) / (2 · 25 · 24)

cos B = 0.998

cos C = - (c² - a² - b²) / (2 · a · b)

cos C = - (24² - 25² - 2²) / (2 · 25 · 2)

cos C = 0.53

Since the law of cosine gives realistic results, then the triangle presented in the picture is possible.

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. Tell whether (7,-4) is a solution of y ≥ 5 - x.

Answers

(7,-4) is not a solution of the inequality y ≥ 5 - x

How to tell whether (7,-4) is a solution of y ≥ 5 - x?

The inequality expression is given as

y ≥ 5 - x

The solution is given as:

(7, -4)

This means that

(x, y) = (7, -4)

Substitute (x, y) = (7, -4) in the inequality y ≥ 5 - x

So, we have

-4 ≥ 5 - 7

Evaluate the difference

-4 ≥ -2

On the numbering system, -4 is less than -2

Hence, (7,-4) is not a solution of the inequality y ≥ 5 - x

Answers

Answer:53 shares

Step-by-step explanation:

If we assume the price remained constant, then the number of shares increased by 6%.

(50 shares)(1 +6%) = 53 shares

The man then owned 53 shares

andrew took a handful of change out of his picket adn noticed taht he was only holding dimes adn quarters in his hand. he counted that he had 22 coins that ammounted to $4. how many quarters and how many dimes does andrew have?

Answers

Andrew has 7 dimes and 15 quarters, as obtained from the system of linear equations so formed.

What is a system of linear equations?

A system of linear equations is a set of two or more linear equations. Linear equations refer to the equations that involve two or more variables in the form of "ax + b".

Given:

Number of coins = 22; only dimes and quarters.Amount of coins = $4

To find: Number of dimes and quarters.

Finding:

Now, 1 dime = 10 cents and 1 Quarter = 25 centsAlso, 100 cents = $1

=> By unitary method, $4 = 4(100) = 400 cents

Let the number of dimes be d and number of quarters be q.

Now, According to question, a system of linear equations follows:

d + q = 22 (Number of coins) => d = 22 - q (eqn1)

and 10d + 25q = 400 (amount of coins)

=> 10 ( 22 - q ) + 25q = 400

=> 220 - 10q + 25q = 400

=> 15q = 400 - 220 = 180

=> q = 12, i.e., number of quarters = 22 upon the solving of this system of linear equations.

On substituting the value of q in eqn1, we get: d = 22 - 15 = 7, i.e., number of dimes = 7.

Hence, Andrew has 7 dimes and 15 quarters, as obtained from the system of linear equations so formed.

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What is the image point of (8, -3) after a translation right 5 units and down 5 units?

Answers

The coordinate would be (13,-8)

Randy's swimming coach kept track of his average 50-meter lap times during the first 3 weeks of training. How much greater was the percent of change from Week 1 to Week 2 than from Week 2 to Week 3? Round to the nearest tenth of a percent.

Answers

The percent of the first change is greater by 2.36%.

Time in 1st week = 28.8 sec

Time in 2nd week = 27.6 sec

Time in 3rd week = 27.1 sec

∴ Change of time from week 1 to week 2 = (28.8 - 27.6) sec

= 1.2 sec

∴ Percent of change from week 1 to week 2 = [tex]\frac{time change}{1st week time} \times 100[/tex] %

= [tex]\frac{1.2}{28.8} \times 100[/tex] %

= 4.17%

∴ Change of time from week 2 to week 3 = (27.6 - 27.1) sec

= 0.5 sec

∴ Percent of change from week 2 to week 3 = [tex]\frac{Time change}{2nd week time} \times 100[/tex] %

= [tex]\frac{0.5}{27.6} \times 100[/tex] %

= 1.81%

∴ The greater change was in the first week. The amount by which it was greater is = (4.17 - 1.81) %

= 2.36%

Answer) The percent of the first change is greater by 2.36%.

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Yo help please I need this done it's about rational or irrational numbers u have to figure out if it's either rat or irr. If it's rational then figure out if it is a integers. If it's a integers then figure out if it's a whole number if it is then figure out if it's a natural number. Here's the order of it. R I W N and if it's irr then it's just I