Last summer, 54,849 people went on a vacation. This year it is expected that an additional 9,499 people will take a summer vacation. How many people will be taking a summer vacation in all?

Answer:

2xy+2x

Step-by-step explanation:

7xy-5xy = 2xy

8x-6x= 2x

combine:

2xy+2x

Answer:

12xy+14x

Step-by-step explanation:

Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of students who climbs the rock wall is 4.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The total number of students in the class is 48, out of these 48 students, 24 students choose to play volleyball. Therefore, the remaining students are 24 (48-24).

Students remaining after volleyball

  = Total number of students - Number of students who play volleyball

  = 48 - 24 = 24

Now, The teacher then divides the remaining students into as many groups of 5 as possible to shoot baskets. Therefore, the teacher divides the remaining 24 students into 4 groups of 5 people. After this, the number of students that are remaining is 4(24-20).

Students remaining after basketball

  = Total number of students - Number of students who shoot basketball

  = 24 - (4x5)

  = 24 - 20 = 4

Further, the remaining students go for climbing the rock wall.

Hence, the number of students who climbs the rock wall is 4.

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If the histogram is skewed to the right, the graph's peak will be to the left of the center.

The peak of the graph is located to the left of the center if the histogram is skewed to the right. The frequency of observations is less frequent on the right side of the graph than it is on the left.

The mean is typically higher than the median when the distribution is right-skewn. We anticipate that the mean and median will be roughly identical in value in symmetric distributions. There is a significant link between the distribution's form and how the mean and median are related.

A positively skewed distribution, sometimes referred to as a right-skewed distribution, is a type of distribution where the majority of values are concentrated around the left tail and the right tail is longer. The distribution that leans positively is the exact opposite of one that leans negatively.

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Answer: See attached picture

Step-by-step explanation:

Han's retirement account earns $247,163.25 in simple interest.

To find the simplest interest, we need to use the formula:

Simple Interest = Principal × Rate × Time

In this case, the Principal is $410,000 and the Rate is $15,785 per year. We don't know the time period, but we can solve for it using the formula:

Time = Simple Interest ÷ (Principal × Rate)

Plugging in the values, we get:

Time = $15,785 ÷ ($410,000 × 1) = 0.0385 years

Therefore, the simplest interest is:

Simple Interest = $410,000 × $15,785 × 0.0385 = $247,163.25

So Han's retirement account earns $247,163.25 in simple interest.

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Answer:

the difference of the mean in the case of mean absolute deviation is 2.5

Step-by-step explanation:

The computation of the difference of the mean is shown below:

Difference is of

= B - A

= 47 - 42

= 5

Now the difference of the mean is

= 5 ÷ 2.5

= 2.5

Hence, the difference of the mean in the case of mean absolute deviation is 2.5

The same would be relevant

Answer: \((\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .\)

Step-by-step explanation:

Transformation rule for dilation:

\((x,y)\to(kx,ky)\) , where k = scale factor

Given : Scale factor = \(-\dfrac13\)

Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)

Vertices after dilation:

\((-1,6)\to(-1\times\dfrac{-1}{3},6\times\dfrac{-1}{3})=(\dfrac13,-2)\)

\((0,9)\times(0\times-\dfrac13,9\times-\dfrac13)=(0,-3)\)

\((6,-3)\to(6\times-\dfrac13,\ -3\times-\dfrac13)=(-2,1)\)

\((3,-3)\to (3\times-\dfrac13,\ -3\times-\dfrac13)=(-1,1)\)

Hence, the coordinates of the image if the parallelogram = \((\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .\)

Answer:

7×+12-6×=5(2×+6)=7×-6+12=10×+30=7×-6×-10×=30-12=9×÷9×=18÷9×=×=2

Answer:

The Answer is 2

EXPLANATION:

y(x)=2x+3

y(x+Δx)=2(x+Δx)+3

=2x+2Δx+3

Δy=y(x+Δx)−y(x)

=(2x+2Δx+3)−(2x+3)

=2Δx

⇒Δy=2Δx,  Δy/Δx =2

The rate of change in the equation of a line in slope-intercept form

y = 2x + 3 is 2.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, An equation of a line y = 2x + 3.

This is in slope-intercept y = mx + b, where 'm' is the slope.

Therefore, The rate of change in y = 2x + 3 is 2.

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Answer:

I believe the correct answer would be A: 3/5 = 60

Step-by-step explanation:

Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.

Answer:

after 80 years, approximately 2.15 grams of the initial 16 grams of cesium-137 would remain. This means that about 13.4 grams would have decayed during this time period.

So the value of the function F at k is 12/k + 1/2.

In mathematics, a function is a relationship between two sets of values, where each input value in the first set (called the domain) corresponds to exactly one output value in the second set (called the range). A function can be represented in several ways, including as a set of ordered pairs, a graph, an equation, or a verbal description. Functions are widely used in mathematics and many other fields, such as physics, engineering, and computer science, to model and analyze real-world phenomena.

Here,

To find F(k), we simply substitute k for x in the formula for F:

F(k) = 12/k + 1/2

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Complete question:

The function F is defined by F(x)= 12/x + 1/2 . Use this formula to find the following values of the function: F(k)

The volume of the secret room is 504 cubic yards.

To calculate the volume of the secret room shaped like a rectangular prism, we multiply its length, width, and height together.

The length of the room is given as 8 yards, the width as 7 yards, and the height as 9 yards.

Volume = Length × Width × Height

Volume = 8 yards × 7 yards × 9 yards

Calculating the multiplication:

Volume = 504 cubic yards

Therefore, the volume of the secret room is 504 cubic yards.

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Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

it's b! now remember to breathe and relax a little. everything is going to be okay ♡

Answer:

Incorrect

Step-by-step explanation:

We are given the equation:

\(\displaystyle \large{|3x+8|-9=-5}\)

Add both sides by 9.

\(\displaystyle \large{|3x+8|-9 + 9=-5 + 9} \\ \displaystyle \large{|3x+8|=4}\)

When we want to tell if the absolute equation has solutions or not, we have to simplify in this form first: or isolate the absolute sign.

\( \displaystyle \large{ |ax + b| = c}\)

If c ≥ 0, the equation has solutions.

If c < 0, the equation does not have solutions.

Therefore, it does not always matter if the constant on right side is in negative because if there is a number on the left side then there is a chance that the equation has solutions.

From |3x+8| = 4 is equivalent |3x+8|-9=-5 and the right side is 4 which is positive.

Hence, the equation does have a solution!

Answer:

The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)

Step-by-step explanation:

Answer:

f(5) = 17

Step-by-step explanation:

plug in 5 in the x so 3(5)+2 =17

Answer:

17

Step-by-step explanation:

3(5) + 2 = 17

15 + 2 = 17

Answer:

The angle between these radii must be 120º.

Step-by-step explanation:

According to Euclidean Geometry, two tangents to a circle are symmetrical to each other and the axis of symmetry passes through the center of the circle and, hence, each tangent is perpendicular to a respective radius. We represent the statement in the diagram included below.

Then, we calculate the angle of the radius with respect to the axis of symmetry by knowing the fact that sum of internal angles within triangle equals 180º. That is to say:

\(\theta = 180^{\circ}-90^{\circ}-30^{\circ}\)

\(\theta = 60^{\circ}\)

And the angle between these two radii is twice the result.

\(\theta' = 2\cdot \theta\)

\(\theta' = 120^{\circ}\)

The angle between these radii must be 120º.

Answer:

sin(30°)/4.36 = sin(37°)/x

4.36/sin(30°) = x/sin(37°)

sin(30°) = 4.36sin(37°)/x

Answer:

Step-by-step explanation:

x+2) x^3+0x^2+0x-4(x^2-2x+4

       x^3+2x^2

      -      -

_______________

             -2x^2+0x

             -2x^2-4x

             +       +

            ____________

                         4x-4

                         4x+8

                        -     -

                       ______

                              -12

                           _____

\(\frac{x^3-4}{x+2} =x^2-2x+4+\frac{-12}{x+2}\)

Answer:

A

Step-by-step explanation:

The answer is negative so that eliminates one

and the greater sign is opposite of b so that makes the answer A!

The correct answers are option an x>2 for inequality 17x-16>18 and option b x>(4/3) for an inequality 3x-91>-87.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

Given inequalities are:-

The inequalities will be solved as:-

i ) 3x - 91 > -87

3x > -87 + 91

3x > 4

x > ( 4 / 3 )

ii) 17x-16>18

17x > 18 + 16

17x > 34

x > 34 /17

x > 2

Therefore the correct answers are option an x>2 for inequality 17x-16>18 and option b x>(4/3) for an inequality 3x-91>-87.

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Answer:

blurr...

Step-by-step explanation:

Answer:

Step-by-step explanation:

given

y = 19 - 2x

when x = 3 , y = 13

when x = 4 , y = 11

when x = 5 , y = 9

when x = 6 , y = 7

hope it helps :)

Answer:

-2<x<3

Step-by-step explanation:

I have attached the work required to solve this problem as well as a pretty good explanation to each step.

Answer:

12/6 simplified to lowest terms is 2/1.

Step-by-step explanation:

Divide both the numerator and denominator by the HCF

12 ÷ 6

6 ÷ 6

Reduced fraction:

12/6 simplified to lowest terms is 2/1.

Answer: 2:1

Step-by-step explanation:

12:6

Both left and right can be divided by 6, like a fraction, reduce.

= 2:1

True. Exception reports show a greater level of detail than is included in routine reports.

Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.

This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.

This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.

It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.

For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.

The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.

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