4. Cuando la suma de 8 y cierto número es igual
a 12, el resultado es el mismo que el producto
de 3 y ese número. ¿Cuál es el número?

Answer:

Class Rank | Frequency

--- | ---

Fr | 7

So | 3

Jr | 4

Se | 6

Answer:

The answer is drawing the 6 of clubs or the 6 of spades because those are the only black 6's.

The assumption in answering the question is that no student scored 0

From the question, we have the following parameters that can be used in our computation:

The bar chart

On the bar chart, we hae

Students that score more than 8 = 5

Students in the class = 33

The (b) is calculated by considering all students that score more than 0 from the histogram

This means that the assumption is that no student scored 0

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A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

When the parent function \(f(x) = e^x -4\) is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;

g(x) = kf(x)

g(x) = 1/2f(x)

\(g(x) = \frac{1}{2} e^x -4\)

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Answer:

4z+3

Step-by-step explanation:

multiply the z's giving four z's and we don't know the value of z so we can't add 3 to it

Answer:

(-2,3) that's all mm m m I m

Step-by-step explanation:

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Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

The quotient is 32 and the remainder is 6.

i.e,

32 R6

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

774 ÷ 24

24 ) 774 ( 32

      768

           6

The quotient is 32 and the remainder is 6.

Now,

We can write in this form,

(Quotient) R(remainder)

Thus,

The quotient is 32 and the remainder is 6.

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Answer:

14 students have to retake the test

Step-by-step explanation:

to calculate the mean mark as

sum of ( product of mark and frequency ) ÷ total

mean = \(\frac{14(2)+15(10)+16(2)+17(3)+18(13)}{30}\)

        = \(\frac{28+150+32+51+234}{30}\)

       = \(\frac{495}{30}\)

      = 16.5

students who score less than 16.5 will retake the test , that is

2 scored 16 , 10 scored 15 , 2 scored 14

number who have to retake test = 2 + 10 + 2 = 14

Answer:

Rs 17 3/4

Step-by-step explanation:

Cost of 6 1/2 m = 115 3/8

Cost of 1 m = x

Cost of 1 meter is Rs 17 3/4

Step-by-step explanation:

We have found one solution to the equations that the two equations intersect at the point (2.5,-1.5).

The equation is actually a relationship between the numbers and the variables. In this question we have two equations y=2x²-6x+1 and y=-x+1 so by equating them we can find the value of x which is the intersecting point of the two lines.

Now the solution of the equations:-

y=2x²-6x+1

y=-x+1

2x²-6x+1 = -x+1

2x²=5x

x=5/2=2.5

y=-2.5+1=-1.5

Hence the one solution to the equations that the two equations intersect at the point (2.5,-1.5).

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Answer:

\(-2r+4\)

Step-by-step explanation:

\(-8(r-2)+6(r-2)\)

Distribute:

\((-8)(r)+(-8)(-2)+(6)(r)+(6)(-2)\\-8r+16+6r+-12\)

Combine like terms:

\((-8r+6r)+(16+-12)\\-2r+4\)

-2r + 4 is your answer.

Answer:

272 trees are not oak.

Step-by-step explanation:

First, we need to convert 32% into a decimal by moving the decimal point to the left twice, to get 0.32. Then, we set up this equation:

0.32 x 400 = 128

Now, this is how many oak trees there are. It says to find how many trees are not oaks. So, we can do this by subtracting the total trees, which is 400 by 128:

400 - 128 = 272 trees.

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The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Answer:

A) -3x2 - 22x - 24

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Given

In a basket, there are white and red balls..

It can be explained

let in first two  balls you take is of different color i.e 1 white and 1 red ball

Third ball , whether you take  white or red ball you will have

two balls of same color.

if your third  ball is  red ball

then you will have 2 red balls and 1 white ball.

if your third   ball is white,

then you will have 2 white balls and 1 red balls.

Thus, 3 is the smallest number of balls you should take out .

To put it simply, if you have n balls of different colors then you need to take minimum n+1 number of balls to have at least two balls of same colors.

Answer:

The other pairs are:

\((a)\ (2, \frac{5\pi}{6}) \to\)  \((2, \frac{17\pi}{6})\) and \((-2, \frac{23\pi}{6})\)

\((b)\ (1, -\frac{2\pi}{3}) \to\) \((1, \frac{4\pi}{3})\) and \((-1, \frac{7\pi}{3})\)

\((c)\ (-1, \frac{5\pi}{4}) \to\) \((-1, \frac{3\pi}{4} )\) and \((1, \frac{7\pi}{4})\)

See attachment for plots

Step-by-step explanation:

Given

\((a)\ (2, \frac{5\pi}{6})\)

\((b)\ (1, -\frac{2\pi}{3})\)

\((c)\ (-1, \frac{5\pi}{4})\)

Solving (a): Plot a, b and c

See attachment for plots

Solving (b): Find other pairs for \(r > 0\) and \(r < 0\)

The general rule is that:

The other points can be derived using

\((r, \theta) = (r, \theta + 2n\pi)\)

and

\((r, \theta) = (-r, \theta + (2n + 1)\pi)\)

Let \(n =1\) ---- You can assume any value of n

So, we have:

\((r, \theta) = (r, \theta + 2n\pi)\)

\((r, \theta) = (r, \theta + 2*1*\pi)\)

\((r, \theta) = (r, \theta + 2\pi)\)

\((r, \theta) = (-r, \theta + (2n + 1)\pi)\)

\((r, \theta) = (-r, \theta + (2*1 + 1)\pi)\)

\((r, \theta) = (-r, \theta + (2 + 1)\pi)\)

\((r, \theta) = (-r, \theta + 3\pi)\)

\((a)\ (2, \frac{5\pi}{6})\)

\(r = 2\ \ \ \ \theta = \frac{5\pi}{6}\)      

So, the pairs are:

\((r, \theta) = (r, \theta + 2\pi)\)

\((2, \frac{5\pi}{6}) = (2, \frac{5\pi}{6} + 2\pi)\)

Take LCM

\((2, \frac{5\pi}{6}) = (2, \frac{5\pi+12\pi}{6})\)

\((2, \frac{5\pi}{6}) = (2, \frac{17\pi}{6})\)

And

\((r, \theta) = (-r, \theta + 3\pi)\)

\((2, \frac{5\pi}{6}) = (-2, \frac{5\pi}{6} + 3\pi)\)

Take LCM

\((2, \frac{5\pi}{6}) = (-2, \frac{5\pi+18\pi}{6})\)

\((2, \frac{5\pi}{6}) = (-2, \frac{23\pi}{6})\)

The other pairs are:

\((2, \frac{17\pi}{6})\) and \((-2, \frac{23\pi}{6})\)

\((b)\ (1, -\frac{2\pi}{3})\)

\(r = 1\ \ \ \theta = -\frac{2\pi}{3}\)      

So, the pairs are:

\((r, \theta) = (r, \theta + 2\pi)\)

\((1, -\frac{2\pi}{3}) = (1, -\frac{2\pi}{3} + 2\pi)\)

Take LCM

\((1, -\frac{2\pi}{3}) = (1, \frac{-2\pi+6\pi}{3})\)

\((1, -\frac{2\pi}{3}) = (1, \frac{4\pi}{3})\)

And

\((r, \theta) = (-r, \theta + 3\pi)\)

\((1, -\frac{2\pi}{3}) = (-1, -\frac{2\pi}{3} + 3\pi)\)

Take LCM

\((1, -\frac{2\pi}{3}) = (-1, \frac{-2\pi+9\pi}{3})\)

\((1, -\frac{2\pi}{3}) = (-1, \frac{7\pi}{3})\)

The other pairs are:

\((1, \frac{4\pi}{3})\) and \((-1, \frac{7\pi}{3})\)

\((c)\ (-1, \frac{5\pi}{4})\)

\(r = -1 \ \ \ \ \theta = \frac{-5\pi}{4}\)

So, the pairs are

\((r, \theta) = (r, \theta + 2\pi)\)

\((-1, \frac{-5\pi}{4}) = (-1, \frac{-5\pi}{4} + 2\pi)\)

Take LCM

\((-1, \frac{-5\pi}{4}) = (-1, \frac{-5\pi+8\pi}{4} )\)

\((-1, \frac{-5\pi}{4}) = (-1, \frac{3\pi}{4} )\)

And

\((r, \theta) = (-r, \theta + 3\pi)\)

\((-1, \frac{-5\pi}{4}) = (-(-1), \frac{-5\pi}{4}+ 3\pi)\)

Take LCM

\((-1, \frac{-5\pi}{4}) = (1, \frac{-5\pi+12\pi}{4})\)

\((-1, \frac{-5\pi}{4}) = (1, \frac{7\pi}{4})\)

So, the other pairs are:

\((-1, \frac{3\pi}{4} )\) and \((1, \frac{7\pi}{4})\)

When Felipe measured the floor of his storage unit, which is rectangular as it 4 feet wide and 5 feet, the perimeter is 18 feet.

The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x represents the rectangle's length and y its width. P = x+x+y+y, where P is the perimeter.

We add the lengths of all four sides of a rectangle to find its perimeter. Felipe measured the floor of his storage unit, which is rectangular. It is 4 feet wide and 5 feet from one corner to the opposite corner.

This will be:

= 2(length + width)

= 2(5 + 4)

= 18 feet

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Answer:

  x = 10

Step-by-step explanation:

You want the value of x in triangle RST with angle bisector UT dividing RS into parts RU=3x and US=x+2, while RT=40 and ST=16.

The angle bisector divides the sides of the triangle proportionally;

  3x/40 = (x +2)/16

  6x = 5x +10 . . . . . . . multiply by 80

  x = 10 . . . . . . . . . subtract 5x

The value of x is 10.

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Answer: Kingda Ka is a launched roller coaster located at Six Flags Great Adventure in Jackson, New Jersey. Designed by Werner Stengel, Kingda Ka is an Accelerator Coaster model from Intamin that opened as the tallest and fastest roller coaster in the world on May 21, 2005.

Step-by-step explanation:

Answer:

Step-by-step explanation:

real number can be irrational or integer.

otherwise there is no number which can be irrational,integer and real (all together)

Answer: The answer is B) there is no such number.

Step-by-step explanation:

So we have to find which number is irrational, and integer, and a real number. Let's examine the problem closely:

- irrational means not rational and cannot be represented by a simple fraction (like pi )

- an integer means a number that can be written without a fractional component ( -1, 2, 0, -10000 )

- and a real number means that it is not imaginary ( like 2i, \(\sqrt{-1}\) )

And our choices here are:

-  -4/2

-  there is no such number

Let's take a look at -4/2. This number is a fraction, but it can be simplified down to -2/1, which is an integer. -2 is a real number, not an imaginary number. But, -2 is not irrational, because as it just was shown here, it CAN be represented by a fraction. So, since only two out of the three criteria are true, then we have to consider choice B.

Answer:

y = 20x + 200

Step-by-step explanation:

The 200 is the constant.  It is only added once, but the monthly deposits are added at 20 every month.  

After 1 month:

y = 20x + 200

y = 20(1) + 200

y = 20 + 200

y =220       money deposited.

After 2 months:

y = 20x + 200

y = 20(2) + 200

y = 40 + 200

y =240 money deposited.

After 3 months:

y = 20x + 200

y = 20(3) + 200

y = 60 + 200

y = 260  money deposited

And so on, and so on, and so on...

Answer:

76.8

Step-by-step explanation:

(The rate is usually given as a percent.).

To find the discount, multiply the rate by the original price.

To find the sale price, subtract the discount from the original price.

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

To determine the equation of a line, you may use two variations of the general form of a line.

These formulas are:

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

The standard form of a linear equation, also known as the “general form“, is:

ax+by=c

The letters aa, bb, and cc are all coefficients. When using standard form, aa, bb, and cc are all replaced with real numbers. The letter x represents the independent variable and the letter y represents the dependent variable.

A few notes on Standard Form:

Let us now determine the y-intercept. Remember, this is where the line crosses the y-axis and where x=0 To do so, we will substitute 0 for x

3y-5x=30

3y-5(0)=30

3y=30

y=10

Therefore, the y-intercept is at 10. This means the point (0,10) is on the graph.

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