Express 2678 as a product of prime numbers

The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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Answer:

\( \sf \: a) \: - 9\)

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 6x = -54

Then the value of x will be,

→ 6x = -54

→ x = -54 ÷ 6

→ [ x = -9 ]

Hence, option (a) is correct.

Answer: (Answer in explanation)

Step-by-step explanation:

(12)B > 180

Her goal is to make more than 180 so if she wants to sell each book for $12 then so if she sells 14 books or above she would get more than $180.

So B could equal anything 16 and above but in my case I chose 24

(12)24 = 288 > 180

So write a equation like mine that equals a number that's greater than 180. Keep in mind each book sells for $12 each. Then solve for B which is how many books she has to sell to get the number greater than 180.

Answer:

sim eu também preciso desta respota

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

4/9

Step-by-step explanation:

Put it in a calculator and you get .4 but there's a lot of 4's. That's the repeating decimal.

Answer:4/9 and 4/7

Step-by-step explanation: Trust

Definition: Statistical Questions

A statistical question is a question that can be answered by gathering data and a question for which we expect to have variation in the data we collect.

Example 1: Deciding Whether a Question Is Statistical

Determine whether the following is a statistical question: How tall are you?

Answer

To answer this question, we just have to record one height. There will be no variability in the data which means that it is not a statistical question.

Example 2: Deciding Whether a Question Is Statistical

Determine whether the following is a statistical question: What are the heights of the players of your favorite soccer team?

Answer

The answer to this question would be a list of the heights of the players on the team. We expect that there will be variability in the data we collect because not everyone will be the same height. Therefore, this is a statistical question.

Example 3: Deciding Whether a Question Is Statistical

Determine whether the following is a statistical question: In general, how tall are humans?

Answer

An answer to this question could be the mean of the heights of a sample of humans. Therefore, to answer it, we need to collect the data which tells us the heights of different people. Since people are of different heights, there will be variability in the data we collect. Hence, it is a statistical question.

In the above examples, we saw that a statistical question can be answered by a list of data like the heights of a group of people or by a single value that summarizes a set of varied data, like the mean of people’s heights. A question is not statistical if the data we collect to answer it is a single value.

Note that the data collected to answer statistical questions does not have to be numerical. There are two types of data we could collect: numerical and categorical.

Definition: Numerical and Categorical Data

In a numerical data set, all of the data values are numbers. For example, data sets summarizing ages, weights, or heights contain numerical data.

In a categorical data set, the data can be grouped into categories. For example, a data set recording the eye colors of a group of people contains categorical data and each eye color can be thought of as a category.

The first three examples we considered contained questions that could be answered by numerical data. These last two example shows questions that would be answered by categorical data.

Example 4: Deciding Whether a Question Is Statistical

Determine whether the following is a statistical question: What is your favorite subject?

Answer

The answer to this question is a single subject; we do not have to collect data with variability to answer the question. Therefore, it is not a statistical question.

Example 5: Deciding Whether a Question Is Statistical

Determine whether the following is a statistical question: How do students travel to school?

Answer

To answer this question, we would have to collect data about how students travel to school: by car, bike, or bus for example. Since we expect the students’ answers to vary, this is an example of a statistical question.

Answer: \(125^{\circ}\)

Step-by-step explanation:

Angles that form a straight angle are supplementary, so:

\(m\angle 1+m\angle 2=180^{\circ}\\ \\ 55^{\circ}+m\angle 2=180^{\circ}\\ \\ m\angle 2=\boxed{125^{\circ}}\)

Notice that since the residuals are varying from -1 to 1 without a pattern, we have that the line is not a good fit for the data.

Also, some residuals (for 0, 2, 4 and 6) are relatively large compared to the actual data values.

Answer:

=

−

7

Step-by-step explanation:

Answer:-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information:

A sandwich shop offers eight types of sandwiches, and Jamey likes all of them equally.

The probability that Jamey picks any one of them is 1/8

Suppose

X represents the number of times he chooses salami

Y represents the number of times he chooses falafel

Z represents the number of times he chooses veggie

Then  X+Y+Z ≤ 5 and;

5-X-Y-Z represents the no. of time he chooses the remaining

8 - 3 = 5 sandwiches

However, the objective is to determine the P[X=x,Y=y,Z=z] such that 0≤x,y,z≤5

So, since he chooses x no. of salami sandwiches with probability (1/8)x

and y number of falafel with probability (1/8)y

and for z (1/8)z

Therefore, the remaining sandwiches are chosen with probability \(\dfrac{5}{8} (5-x-y-z)\)

So. these x days, y days and z days can be arranged within five days in

\(= \dfrac{5!}{x!y!z!(5-x-y-z)!}\)

Thus;

\(P[X=x,Y=y,Z=z]= \dfrac{5!}{x!y!z!(5-x-y-z)} \times \dfrac{1}{8}x*\dfrac{1}{8}y* \dfrac{1}{8}z* \dfrac{5}{8}(5-x-y-z)\)

since 0 ≤ x, y, z ≤ 5 and x + y + z ≤ 5.

The distribution is said to be Multinomial distribution.

Answer and Step-by-step explanation:

Let's represent the amount of money the customer deposits in the checking account as "C", and the amount of money the customer deposits in the savings account as "S". Then we can write the following system of inequalities to represent the constraints:

C + S ≤ 600

This inequality represents the fact that the total amount deposited cannot exceed $600.

S ≥ 50

This inequality represents the fact that the savings account must have a minimum balance of $50.

C and S are both non-negative, meaning that the customer cannot deposit a negative amount of money in either account.

Therefore, the system of inequalities to represent the constraints is:

C + S ≤ 600

S ≥ 50

C ≥ 0

S ≥ 0

we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.

Let the cost of number of movies be x and the cost of number of video games be y.

So, the equations are:

5 x + 3 y = 39

2 x + 12 y = 75

2 x = 75 - 12 y

x = 75/2 - 6 y

Put it in the first one, we get that:

5 ( 75/2 - 6y) + 3y = 39

375/2 - 30 y + 3 y = 39

27 y = 187.5 - 39

27 y = 148.5

y = 148.5 / 27

y = $ 5.5

x = 75/2 - 6 y

x = 37.5 - 6 (5.5)

x = 37.5 - 33

x = $ 4.5

Therefore, we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.

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Answer:

X + 2y = 1

3x + y = 13

Step-by-step explanation:

A and b are the coefficients of X and y

I wasn't sure about my answer so used Gauthmath

Answer:

Below

Step-by-step explanation:

According to the triangle bisector theorem

x/18 = 45/20

x = 40.5 units

Okay, let's break this down step-by-step:

* The distance between Marisa's house and the post office is 720 m

* Marisa walks at an average speed of 80 m/min

* To calculate the time:

** Distance / Speed = Time

** 720 m / 80 m/min = 9 minutes

Therefore, if the distance is 720 m and Marisa's average walking speed is 80 m/min, it will take her 9 minutes to walk from her house to the post office.

Thus there can be no more than 8 total peeps when the number is less than 130.

Relationships that have the same ratio over time are said to be proportional. For instance, how many trees there are in an orchard and how many apples there are in a harvest of apples are determined by the average number of apples per tree. Proportional in mathematics refers to a linear relationship between two numbers or variables. When the first quantity doubles, so does the other. When one of the variables drops to 1/100th of its previous value, the other also decreases.

When two quantities are proportional, it means that when one rises, the other rises as well, and the ratio between the two quantities stays the same at all values. As an example, consider the diameter and circumference of a circle.

given

total peeps when the number is less than 130

ratio = 7:4

Thus there can be no more than 8 total peeps when the number is less than 130.

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Answer:

  x = 36

Step-by-step explanation:

Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.

The product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.

  24² = 12(12 +x)

  2·24 = 12 +x . . . . . . . divide by 12

  36 = x . . . . . . . . . subtract 12

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The equation that can be used to find out how much time it will Margot take to get to hillwood is 64x = 320.

Equation of motion is a mathematical formula that describes the position, velocity, or acceleration of a body relative to a given frame of reference.

speed x time of motion = distance traveled

64x = (918 - 598)

64x = 320

where;

The time of motion is calculated as;

x = 320/64

x = 5 hours

Thus, the equation that can be used to find out how much time it will Margot take to get to hillwood is 64x = 320.

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Answer:

Yes

Step-by-step explanation:

5 ( e + 8 ) - 4

= 5 ( e ) + 5 ( 8 ) - 4

= 5e + 40 - 4

= 5e + 36

Hence,

5 ( e + 8 ) - 4 and 5e ­+ 36 are equivalent expressions.

The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

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Answer:

Below

Step-by-step explanation:

Earnings, e, will be divided by 4  friends to equal 12

e/4 = 12      multiply both sides of the equation by 4

4 * e/4 = 12 * 4

    e = 48

9514 1404 393

Answer:

Step-by-step explanation:

When the equation of a line is given in slope-intercept form, as this one is, it is usually convenient to make use of those values (intercept and slope).

Here, the y-intercept is 6. The slope is -4/9, which means the line goes down 4 units for each 9 units to the right.

The y-intercept is graphed at (0, 6). An additional point can be graphed at (9, 2). Then the line can be drawn through these points.

Answer:

option D is the right answer

Step-by-step explanation:

hope it helps you

Answer:

518

Step-by-step explanation:

14 x 74 = 1036      1036 / 2  = 518

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( first )

The required bar diagram is attached below that correctly models how to find the total distance Dana ran.

A mathematical number known as distance measures "how much ground an object has traveled" while moving.

In the bar diagram, there are two bars representing the distance Dana ran on Saturday and Sunday, respectively.

Each bar is labeled with the distance Dana ran on that day. The length of each bar is proportional to the distance Dana ran on that day. To find the total distance Dana ran, we simply add the lengths of the two bars.

In this case, the total distance Dana ran is:

Total distance = 3/10 + 5/10 = 8/10 = 4/5 mile

So, Dana ran a total of 4/5 miles over the weekend.

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