Help me with mathematics pls

Option (A)  (y = ±2x + 3) represents a function. In this equation, for every value of x, there is only one corresponding value of y, which satisfies the equation.

A function is a relation between two variables where each input is associated with exactly one output. To determine if an equation represents a function, we can use the vertical line test.

Out of the given options, only equation A (y = ±2x + 3) represents a function. In this equation, for every value of x, there is only one corresponding value of y, which satisfies the equation. When plotted on a coordinate plane, a vertical line will intersect the graph at most once for every value of x.

Equations B[tex](x^2 + y^2 = 16)[/tex], C[tex](y = \pm3x + 8)[/tex], D [tex](y^2 = -5x - 8)[/tex], and E [tex](x = 4y + 7)[/tex] do not represent functions. In these equations, a vertical line will intersect the graph more than once for some values of x, meaning that there are multiple outputs for a single input, which violates the definition of a function.

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A protractor is a tool used for measuring and drawing angles. It is typically a semi-circular piece of plastic or metal with a degree scale marked along its curved edge.

The scale typically ranges from 0 to 180 degrees, which covers half a circle. To measure or draw an angle of 45 degrees, you would line up the protractor's baseline with one arm of the angle and use the degree scale to find 45 degrees. If you are drawing the angle, you would then use a straightedge to extend the other arm of the angle from the point where it intersects the 45-degree mark on the protractor.

It's important to note that the 45-degree angle represents 45/360 of a full circle, which is equal to one-eighth of a full rotation. This means that if you were to rotate the angle around its vertex, it would make one-eighth of a full circle before aligning with its original position.

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Answer:

BD = 2.4

Step-by-step explanation:

the answer can be easily found by using pythagoreans theorem.

BD = height (h)

3 = SqrRt ( 1.8² + h² )

3² = 1.8² + h²

9 - 1.8² = h²

5.76 = h²

h = 2.4

the expression are equivalent compound condition for the nested conditionals is (x > 200) and (y < 200).

ii. The equivalent compound condition for the nested conditionals is not (x > 200 and y > 200).

iii. The equivalent compound condition for the nested conditionals is not ((x ≤ 200) or (y ≥ 200)).

The equivalent compound conditions for the given nested conditionals are as follows:

i. The compound condition (x > 200) and (y < 200) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be true for the condition to be satisfied.

ii. The compound condition not (x > 200 and y > 200) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be false for the condition to be satisfied.

iii. The compound condition not ((x ≤ 200) or (y ≥ 200)) is equivalent to the nested conditionals if (x > 200): if (y < 200). This is because the compound condition requires both conditions to be false for the condition to be satisfied.

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The surface area to be covered by the label is 904.32 mm²

Assuming the shape of the battery is cylindrical.

The dimensions of the cylindrical battery:

radius r = 4 millimeters

height h = 32 millimeters

We know that the formula for the surface area of cylinder is:

A =  2πrh + 2πr²

where r is the radius of the cylinder and h is the height of the cylinder

Using this formula of surface area of cylider, the surface area to be covered by the label would be,

A =  2πr(h + r)

A = 2π × 4 × (32 + 4)

A = 2 × 3.14 × 4 × 36

A = 904.32 mm²

Thus, the required area = 904.32 sq. mm.

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Maxwell's father comes to live with him in his house, and his number of dependents has now increased.

Maxwell can count his father as his dependent if his father is not able to earn his own livelihood. Maxwell should submit a new W4 form clearly mentioning his father as his dependent.

A W4 form is used to inform employers about withholding correct federal income tax on the employee pay.

This is based on the allowances deducted for the dependents and then the income left is subject to tax.

Maxwell can claim an allowance for his father. The correct option is to Submit a new W4 form.

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Answer:

Step-by-step explanation:

To find the distance traveled, we need to subtract the starting odometer reading from the ending odometer reading.

In this case:

Journey distance = 12714 km - 12138 km = 576 km

So the journey was 576 kilometers.

Answer:7 seconds

Step-by-step explanation:

it would take 7 seconds second to fill in a inTIRE empty bike

3 1/2 *2=7

Answer:

x= y+1/10

Step-by-step explanation:

y = 10x-1

y+1 = 10x

y+1/10 = x

y+1/10

Step-by-step explanation:

1. Add 1

2.divide by 10

Answer:

Ratio of cricket to basketball = 5:3

Venn diagram attached below

Step-by-step explanation:

Ratio =

50 people like cricket

30 people like cricket

50:30

simplified

= 5:3

On solving the provided question, we can say that from the graph[tex]y = x^2 - 4x[/tex], x = 0, y = 0 and x =2, y = 0

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle.

from the graph,

[tex]y = x^2 - 4x[/tex]

so,

x = 0, y = 0

x = -1,

y = 5

and x =2, y = 0

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The exponential function for each set of points is y = 3 * 2ˣ,

What is the exponential function?

An exponential function is a Mathematical function in form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

The exponential function can be described as y = 3 * 2ˣ,

where,

x is the input value

and y is the output value.

This function says that for every increase in x by 1 unit, the value of y will be multiplied by 2, starting from an initial value of 3.

For example, when x = 0, y = 3 * 2⁰ = 3, and when x = 1, y = 3 * 2¹ = 12.

Hence, the exponential function for each set of points is y = 3 * 2ˣ,

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The probability that the sum of the two dice will be odd is 2/3.

The probability of getting an odd number from the sum of two fair dice can be calculated as follows:

If both dice show an odd number (1 or 3), the sum will be even.

If both dice show an even number (2 or 4), the sum will be even.

If one die shows an odd number and the other an even number, the sum will be odd.

Since each die has a 1/3 chance of showing an odd number and a 2/3 chance of showing an even number, the probability of getting an odd number is 2/3 * 1/3 + 1/3 * 2/3 = 2/3.

Therefore, the probability that the sum of the two dice will be odd is 2/3.

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The weight of Fred's dog at the veterinarian appointment in March is 36 pounds.

Fred's dog weight in September= 45 pounds

Percentage increase= 25%

Fred's dog weight in March = x

45 = x + (25% of x)

45 = x + 0.25x

45 = 1.25x

divide both sides by 1.25

x = 45/1.25

x = 36 pounds

Hence, Fred's dog weighs 36 pounds in March.

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function is the answer of this question

Answer:

$115

Step-by-step explanation:

If $100 is increased by 15%, it becomes $100 + 0.15 * $100 = $100 + $15 = $115.

Answer: 115

Step-by-step explanation:

100 x 0.15 = 15 so, 100 + 15 = 115

The another term for the average value of a distribution is "mean."

The mean is a commonly used measure of central tendency that represents the average value of a set of data. It is calculated by summing up all the values in a dataset and dividing by the total number of observations. The mean is a useful tool for summarizing the general tendency of a dataset and is used as a basis for other statistical calculations such as variance and standard deviation.

However, the mean is sensitive to outliers, meaning that a few extreme values in a dataset can greatly affect the mean. For this reason, it's sometimes necessary to use other measures of central tendency, such as the median or mode, to get a better understanding of the central tendency of a dataset.

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Answer:

It's exactly one

Step-by-step explanation:

You can test:

Op1:

x = -1

==> -1-1 = -2 then -2x2 = -4 (This's right)

Op2:

x = 1

==> 1-1=0 (this's wrong)

So ==> Ans is A) Exactly one

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The given quadratic equation has exactly two solutions. Therefore, option B is the correct answer.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is (x-1)²= -4.

Square root on both the sides we get

√(x-1)²=√(-4)

x-1=±2i

x=±2i+1

x=2i+1 and x=-2i+1

Therefore, option B is the correct answer.

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Answer:

E,B are the answers.

Step-by-step explanation:

There are 2880 calories in three pounds of the ice cream.

There are 750 calories in ten ounces of a certain ice cream.

Total calories=750

Number of ounces given=10

First, we need to convert three pounds to ounces:

⇒1 pound=16 ounces

⇒3 pounds = 3 * 16 ounces = 48 ounces

So, we need to find the number of calories in 48 ounces of the ice cream.

Since there are 750 calories in ten ounces, then there will be

⇒[tex]750*\frac{48}{100}[/tex]750 = 2880 calories in 48 ounces.

Therefore, there are 2880 calories in three pounds of the ice cream.

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For every 12 pop songs played on the streaming music channel, there are 8 hip-hop tracks.

After that, the algebraic relationship is denoted by the equation y = mx + b, where y stands for the distance, x for time, m for the slope, and b for the y-intercept. Distance = (2m/s)time - 1m is the relationship we infer from the graph.

The association between two quantitative variables measured for the same individuals is displayed in a scatterplot. One variable's values are shown on the horizontal axis, and the other variable's values are shown on the vertical axis. Each individual in the data is represented by a point on the graph.

As the values of the independent variables rise, a linear connection shows as a straight line, rising or dropping. A direct relationship is shown by a rising line to the right. If the line curves right, there is an inverse relationship.

For every 12 pop songs played on the streaming music channel, there are 8 hip-hop tracks.

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If you have three points in space , we can use direction vector , check if vectors are collinear or proportional to know those 3 points lie on the same line.

If you have three points in space and you find a vector that is projected onto another vector from each of these three points, it is possible to determine if the three points lie on the same line. Here's how you can do it:

Find the direction vector: Calculate the direction vector from one of the points to the other two points.

Check if the projection vectors are collinear: If the projection vectors from all three points are collinear, it means that they are all pointing in the same direction and are proportional to each other.

Check if the projection vectors are proportional: If the projection vectors are proportional, it means that they are all pointing in the same direction, and the three points are on the same line. Note that in order to determine if the projection vectors are proportional, you would need to know the magnitude of the projection vectors.

If the three points do lie on the same line, the direction vector found in step 1 will be proportional to the projection vectors found in step 2 and step 3, and all three points will lie on the same line in space.

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In the given situation, the required equation will be 40x + 50 = P where P is the total pages read and x is the number of hours read.

A mathematical equation, such as 6 x 4 = 12 x 2, states that two amounts or values are equivalent a meaningful noun.

An equation is used when two or more factors must be considered jointly in order to understand or explain the whole situation.

So, in the question we have:

50 pages of the book already read by Chole.

He reads 40 pages every hour.

He reads for more x hours.

Then, accordingly, the equation will be:

40x + 50 = P

Where x is the number of hours read and P stands for the total pages read.

Therefore, in the given situation, the required equation will be 40x + 50 = P where P is the total pages read and x is the number of hours read.

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If <A = 51° then the measure of angle ABE be 39°.

The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side that faces the right angle and is also the side with the longest side in a right triangle, and the height and base are the two arms of the right angle.

It is 90 degrees at a right angle. Angles smaller than 90 degrees are considered sharp angles. More over 90 degrees is considered an obtuse angle. Additionally, these angles aid in categorizing the various triangular varieties.

ΔABE = 180 degree

Let the equation be

∠A + ∠B  + ∠E = 180 degree

simplifying the above equation, we get

51° + ∠B + 90° = 180°

∠B = 180° - 90° - 51°

∠B = 39°

Therefore, the measure of angle ABE be 39°.

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Answer:

x=9, y=1

Step-by-step explanation:

Give brainlist, please

Answer: y=x/3 + 5/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the equation of the line that passes through the points (-2, 1) and (4, 3), we can use the point-slope form of a line.

Point-slope form of a line: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

Step 1: Find the slope:

We can use the two points to find the slope:

m = (y2 - y1) / (x2 - x1) = (3 - 1) / (4 - (-2)) = 2

Step 2: Use the point-slope form:

y - 1 = 2(x - (-2))

y - 1 = 2x + 4

y = 2x + 5

The equation of the line that passes through the points (-2, 1) and (4, 3) is y = 2x + 5. This is the standard form of the line.

Answer:

DK = 18

MJ = 3

ML = 8

Step-by-step explanation:

In this problem, we need to use the Median of a Triangle Formula. This formula states that EM/EL = FM/JF = DM/DK = 2/3. To implement this into our question, we can write ML/EL = 1/3, so we get that ML = 24/3 = 8. We also know that MJ/FM = 1/2, so MJ = 6/2 = 3. Finally, DM/DK = 2/3, so DK = (12*3)/2 = 18. Hope this is correct.

Answer:

Step-by-step explanation:

Let's start by defining the variables for the problem. Let's say that:

w = the width of the rectangular garden (in meters)

l = the length of the rectangular garden (in meters)

We know that the length is 45 meters more than twice the width, so we can write:

l = 2w + 45

We also know that we have 1350 meters of fencing available to enclose the rectangular garden. The perimeter of the rectangular garden is equal to the sum of the lengths of all four sides. Since there are two sides of length w and two sides of length l, we can write:

Perimeter = 2w + 2l

Substituting the expression for l that we derived earlier, we get:

Perimeter = 2w + 2(2w + 45)

Perimeter = 6w + 90

We know that the perimeter of the rectangular garden is equal to 1350 meters, so we can write:

1350 = 6w + 90

Solving for w, we get:

6w = 1260

w = 210

Now that we know the value of w, we can use the expression for l that we derived earlier to find the length:

l = 2w + 45

l = 2(210) + 45

l = 465

Therefore, the dimensions of the rectangular garden should be 210 meters by 465 meters.

To find the probability that the student ONLY takes History Class, we need to divide the number of students taking only History (37) by the total number of students (150).

Probability is the measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probability can be used to analyze and make predictions about a wide range of situations, including games of chance, weather patterns, financial markets, and more.

Here,

Using the given numbers, we can calculate the probabilities as follows:

To find the probability that the student ONLY takes History Class, we need to divide the number of students taking only History (37) by the total number of students (150):

P(ONLY History) = 37/150 = 0.2467 or approximately 24.67%

To find the probability that the student takes BOTH History and Biology, we need to divide the number of students taking both (25) by the total number of students (150):

P(History AND Biology) = 25/150 = 0.1667 or approximately 16.67%

To find the probability that the student does NOT take History or Biology, we need to add the number of students taking neither History nor Biology (21) to the number of students taking only Biology (17), and then divide by the total number of students:

P(Neither History nor Biology) = (21 + 17)/150 = 0.2533 or approximately 25.33%

The complement of this event (i.e., the probability of taking either History or Biology) is:

P(History or Biology) = 1 - P(Neither History nor Biology) = 1 - 0.2533 = 0.7467 or approximately 74.67%

To find the probability that the student takes Biology class, we need to add the number of students taking both History and Biology (25) to the number of students taking only Biology (17), and then divide by the total number of students:

P(Biology) = (25 + 17)/150 = 0.2133 or approximately 21.33%

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