(3.2x10 to the power of 5)(5.7x10 to the power of -2)

No, 25 is not a prime number. It can be divided by 5 without a remainder, so it has factors other than 1 and itself.

A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. In other words, a prime number can only be divided evenly by 1 and by itself. They are considered to be the "building blocks" of the natural numbers, and are important in number theory and other branches of mathematics.

The factors of 25 are 1, 5 and 25. Prime numbers are numbers that are divisible by only 1 and themselves. So 25 is not a prime number.

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No, Dave is not correct. The quadrilateral with 4 right angles is a rectangle as well as square.

Square: 4 equal sides, four internal right angles, plus four vertices make up the flat, two-dimensional (2D) shape known as a square.

Specifications of a Square

Rectangle: A rectangle is indeed a two-dimensional form with equal lengths on both sides. It has four vertices and four equal angles. A rectangle's four angles are all 90° in angle.

Rectangle's Qualities:

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The cost when h=8 hours is 4290.

c(x) = 12x + 450 and N(h) = 40h

We get,

C(N(h)) = 12 *(N(h)) + 450

= 12 * 40h + 450

= 480h + 450

So,

Cost when h = 8 -> 480*8 + 450 = 4290

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Answer:

The factorised form of the expression given 4x² +4x +1 according to the task content is; (2x+1) (2x+1).. What is the factorised form of the expression given in the task content? It follows from the task content that the given expression is; 4x² +4x +1. Hence, it follows from factorisation convention that the expression above can be rewritten as;. 4x² +2x +2x +1

Step-by-step explanation:

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 4x {}^{2} + 4 x + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 4 {x}^{2} + 2x + 2x + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x(2x + 1) + 1(2x + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \: (2x + 1) (2x + 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \: (2x + 1)[/tex]

The required (factored) expression will be :

Answer:

So in total, 1681 pennies were collected.

Step-by-step explanation:

divide the total amount collected, $16.81, by the value of a penny, which is $0.01.

16.81 / 0.01 = 1681 pennies.

So in total, 1681 pennies were collected.

Answer:

Step-by-step explanation:

The mean would  be 11.857142857143 , so basically 11.9

The mean life span of the given farm animals is approximately 11.9 years, obtained by adding up all the individual life spans and dividing the total by the number of animals.

The question asks for the mean, or average, of the life spans of various farm animals. Here's how we calculate it:

Therefore, the mean life span of these farm animals is approximately 11.9 years, which corresponds to option B.

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543 cubic centimeters has 0.543 L approximate displacement

Engine displacement means the displacement of the piston inside cylinder from Bottom Dead Center into Top Dead Center in one cycle.

Basic formula to calculate engine displacement is

V = π/4 x [tex]D^{2}[/tex] x H x N

Where :

D = Bore Diameter

H = Length of Stroke

N = Number of Cylinder

Since the question has already stated cubic centimeter, it has already show the displacement. So, we can ignore above formula and the 4 cylinder engine information.

First, we state what is known. It is the displacement at cubic centimeter

Cubic centimeter = 543 cc

Next, we change the unit of cubic centimeter ( cc ) into liter ( L )

Displacement = cc / 1000 L

                       = 543 / 1000 L = 0.543 L

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The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.The dilation o a triangle with a scale factor of 2 3 represents a contraction.

The scale factor is defined as the proportion of the new image's size to that of the previous image. A fixed location in the plane serves as the centre of dilatation. The scale factor and the centre of dilation are used to determine the dilation transformation.

Finding the dilation's centre point is the first step in determining the scale factor. Next, we measure the distances between the centre point and various points on the preimage and the image. According to Math Bits Notebook, the scale factor is equal to the ratio of these distances.

Since each angle is congruent, every segment is proportional, the slope of every segment is preserved, and the perimeter of the preimage and image have the same scale factor, we may use dilation scale factors to compress or enlarge a figure to the size we desire.

Dilate a triangle with a scale factor

Assume that the coordinate plane's centre of dilation is at (0, 0) at the origin. Every coordinate point of the original triangle is multiplied by the scale factor 2/3 if the scale factor is 2/3. multiplying by half after a scale factor of two.

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The probability that the number is greater than 78 is 22/100 or 22%.

1. There are a total of 100 numbers in the bag.

2. Out of the 100 numbers, 78 are less than 78.

3. Therefore, there are 22 numbers that are greater than 78.

4. The probability of selecting a number greater than 78 is 22/100 or 22%.

Josephine wrote the numbers one to one hundred and placed them in a bag. If he randomly selects a number without looking, what is the probability that the number is greater than seventy-eight? The probability that the number is greater than seventy-eight is twenty-two out of one hundred, or twenty-two percent. This is because there are a total of one hundred numbers in the bag, and out of those one hundred numbers, seventy-eight are less than seventy-eight. Therefore, there are twenty-two numbers that are greater than seventy-eight. The probability of selecting a number greater than seventy-eight is twenty-two out of one hundred, or twenty-two percent.

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The total weekly earnings of Jenna before the taxes were taken out is

$255.85.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Jenna earns $10.75 per hour working.

She worked a total of [tex]23\frac{4}{5}[/tex] hours last week.

Therefore, The total earnings of Jenna can be obtained by multiplying her rate per hour by the total number of hours she worked which is,

= 10.75×119/5.

= 10.75×23.8.

= $255.85.

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Answer:

No function is shown

Step-by-step explanation:

The greatest common factor of 18 and 6 is 6

The greatest common factor is defined as the largest number that is a factor of two or more numbers. For example, the GCF of 24 and 36 is 12, because the largest factor that is shared by 24 and 36 is 12. 24 and 36 have other factors in common, but 12 is the largest.

To find the greatest common factor between 18 and 6, we have to find the common factors of 28 and 6

The factors of 18 are: 1, 2,3,6,,9,18

The factors of 6 are: 1,2,3,6

The common factors are: 1,2,3,6

the greatest common factor is 6

Therefore the greatest common factor of 18 and 6 is 6

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He should do all the steps that are mentioned in the question to make sure the new angle is congruent to angle BAC and has the same properties.

What is the construction of a circle?

Circle constructions are used in many fields such as geometry, engineering, and architecture to create precise circles. It's a fundamental concept in mathematics, and it's important to understand how to construct circles to apply these concepts in different fields.

His next step would be to draw a circle with a center F and a radius equal to BG.

By creating a circle with a center F and a radius equal to BG, He is creating a congruent circle to the original circle A with the center A, and radius AB.

The point of intersection between circle D and ray DE would also be an important step as it would give the location of the new angle. The point of intersection between circle D and circle A would also be an important step as it would confirm that the two circles are congruent.

Drawing ray DE away from angle BAC is also an important step, as it would create a new angle with the same properties as angle BAC.

Hence, He should do all the steps that are mentioned in the question to make sure the new angle is congruent to angle BAC and has the same properties.

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The requried solutions are,

(A) The given probability model represents all the possible probabilities between 0 and 1.
(B) The probability that a student won't win extra recess time is 0.95.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
(a)
The given probability model represents all the possible probabilities between 0 and 1, probabilities add up to 1.

(b)
The probability that a student won't win extra recess time is given as,
= 1 - p[student will win extra recess time]

= 1 - 0.05
= 0.95

Thus, the requried solutions are given above.

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Answer:

3x^4 + 4 / x - 2

Step-by-step explanation:

(3x³x+4) /(x − 2)

3(x ⋅ x^3) + 4 / x - 2

3x^4  + 4 / x - 2

We can't simplify anymore, so the answer is 3x^4 + 4 / x - 2

Answer:

Here is your answer

((7 * 4) ^ 8) ^ 10 =

(28 ^ 8) ^ 10 =

377801998336 ^ 10 = 59243745466425005914454309773057597308923913133540598788947321202681255877119822027605832529210827998599338289790976

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x = amount charged for washing a car

     y = amount charged for vacuuming a car

38 = 5x + 4y (1)

28 = 4x + 2y (2)

Can be solved by substitution or simply subtracting the (1) and (2) equation.

By Substitution:

38 = 5x + 4y --->  solve for x

38 - 4y = 5x (transposed 4y to the other side of the equation and it's sign changes from (+) to (-).

[tex]\frac{38-4y}{5} =x[/tex]

substitute the value of x to the (2) equation.

28 = 4x + 2 y

[tex]28=4(\frac{38-4y}{5})+2y[/tex]

[tex]28=\frac{152-16y}{5} +2y[/tex] , then multiply both side by 5 to eliminate the denominator 5.

140 = 152 - 16y + 10y (transposed 152 to the other side, change sign from (+) to (-)).

140 - 152 = -16y + 10 y

-12 = -6y (divide both side by (-6)

y =  2 or $2 (amount charged for vacuuming)

Using any of the 2 equation, we can solve for the value of x.

38 = 5x + 4 (2) (we substitute, the value of y)

38 - 8 = 5x

30/5 = x

x= 6 or $6 (amount charged for washing)

Answer:

2

Step-by-step explanation:

Since k= -5/2 then -k is the opposite sign or 5/2

5/2 + 3/2 = 8/2

8/2 = 4

4 + (-2) is the same as 4-2

4-2 = 2

Answer: 2

Answer: 2

Step-by-step explanation:

The value of K is given as -5/2, so let's use it to solve the equation.

When you substitute -5/2 for k, you'll get

3/2+5/2-2 = 4-2=2

Therefore, the answer is 2.

Answer:

Step-by-step explanation:

take -5 and times it by -3 and it will equal a positive 15

so its -5

There are 4 ways to increase profit: Cost-cutting, increased turnover, productivity gains, and efficiency gains are among them.

Businesses can raise revenues by selling more products or services, raising pricing, or some combination of these to enhance net margin. By lowering expenses, businesses may boost their net margin (e.g., finding cheaper sources for raw materials).

Developing and securing healthy revenues depends on strong customer connections. Customers should be matched to relationships, relationship migration pathways should be established to further integrate major accounts, and marketing should take the lead in all of these areas. Relationships should range from arm's length to deeply integrated.

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The original cost of the car would be the total depreciation plus the cost of the car after one year. So, the original cost of the car would be 3600 + (the cost of the car after one year).

1. Calculate the total depreciation for the year: 3600

2. Add the total depreciation to the cost of the car after one year: 3600 + (cost of the car after one year)

3. The answer is the original cost of the car: (3600 + (cost of the car after one year))

The original cost of the car would be the total depreciation plus the cost of the car after one year. So, the original cost of the car would be 3600 + (the cost of the car after one year).

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The equation that shows how many students are absent is 26+a = 30 and 4students are absent

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.

Also a linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

There are 30 students in a class and 26 students are present.

Let's represent the number of student absent by a

therefore the sum of the number of student absent and the student present will give the total number of student.

26+a = 30 and

a = 30-26

a = 4

therefore 4 students are absent

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From the AAS to triangle PRQ is congruent to triangle PRS. The correct option is A.

A triangle, which is a polygon, has three sides and three vertices. One of geometry's basic shapes is it. A triangle with the vertices A, B, and C is referred to as Triangle ABC.

When the three points are not collinear, Euclidean geometry reveals a singular plane and triangle. A triangle is a type of polygon because it has three sides and three corners. The three sides' end-to-end intersections are referred to as the triangle's corners. The sum of the three triangle angles is 180 degrees.

Given

PQ = 12 units and PS = 12 units, with PR dividing ZQPS.

OA validates AAS's triangular display. The triangle is consistent with PRQ. Triangle is shown by SAS thanks to PRS OC. The triangle is consistent with PRQ. SEP

Every matching portion of one triangle is congruent to the other if two triangles are congruent.

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Answer:

1 8/21.

Step-by-step explanation:

Total number of water Jon drink altogether

2/3 + 5/7

=LCM 21

=2/3 + 5/7

=14 + 15

21

=29/21

Mixed fraction

=1 8/21.

Answer:This bestseller will help you learn regression-analysis methods that you can apply to real-life problems. It highlights the role of the computer in contemporary statistics with numerous printouts and exercises that you can solve using the computer.

Step-by-step explanation:

Answer:The zero exponent is equal to 1 to satisfy a certain case in manipulating bases with exponents. When multiplying or dividing the same base with exponents we add or subtract the exponents: To find the value of (3^3) (3^2) [the short form of (3 X 3 X 3) X (3 X 3) or (27) (9)] we add exponents to get 3^ (3+2) or 3^5 with a value of 243.

Step-by-step explanation:

Answer: x=3

Step-by-step explanation: So let’s first simplify, 2(5x-3)=24, which we can make, 10x-6=24. Now, to find the value of x, we will all 6 on both sides, so, 10x-6+6=24+6. This will simplify out into 10x=30, so now we divided 10 on each side - 10x/10=30/10. And we will get x=3

Answer:

x = 3

Step-by-step explanation:

2 (5x - 3) = 24

10x - 6 = 24

10x = 30

x = 3

A model for the rate situation is written as

4x = $19

This means that a unit of paint is sold for $4.75 hence 4 units will be $19

The cost per unit of an item is represented by the unit price.

To determine the unit price of an item, we divide the price of a specific number of units by the number of units.

If a paint store sells 4 pt of paint for $19. the rate of the paint is solved for as follows

let a unit be x

4 = 19

1 = x

cross multiplying

4x = 19 * 1

x = 19 / 4

x = 4.75

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This gives us a total of 1,333 male workers in the company.

Data in mathematics is information that is used for analysis. It is typically presented in a structured format such as a table or graph and can be used to draw conclusions and make predictions. Data can come from a variety of sources, including surveys, experiments, observations, and simulations. Data can be quantitative or qualitative, and can be used to describe relationships between variables or to compare different sets of data. Data is an important tool in mathematics, as it allows us to draw conclusions from information and make decisions based on evidence.

The number of male workers in the company would be 1,333. To calculate this, we can first calculate the total number of workers in the company by multiplying the total number of female workers (800) by 100 and then dividing the result by 60 (the percentage of male workers).
This gives us a total of 1,333 male workers in the company.

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Complete questions as follows-
In a company, 60 % workers are males. If the number of female workers in the company is 800, what is the number of male workers in the company?

The center point of the dilation is located, and the distances between this center point and various points on the preimage and the image are measured in order to determine the scale factor for the dilation. According to Math Bits Notebook, we can determine the scale factor by dividing these distances by two.

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