Which model shows two equal expression when the value of x 2

Answer:

D

Step-by-step explanation:

The 6 represents the initial value of 6000.  The cases are going down 5,000 a month.

The volume is 3315 cubic feet.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given polynomial function is V(x)=x³-4x.

Here, W(x)=V(3x)

Replace x by 3x in the function V(x)=x³-4x, we get

V(3x)=(3x)³-4(3x)

V(3x)=27x³-12x

W(x)=27x³-12x

Replace x by 5 in the function W(x)=27x³-12x, we get

Now, W(5)=27(5)³-12(5)

= 27×125-60

= 3375-60

= 3315 cubic feet

Hence, the volume is 3315 cubic feet.

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"Your question is incomplete, probably the complete question/missing part is:"

A polynomial function V(x)=x³-4x that represents the volume of the right triangle pyramid when measured in cubic feet.

The function (x) =(3x) gives the volume (in cubic feet) of the pyramid when x is measured in yards.

Find a function W(x) that gives us the volume when measured in yards also to find W(5).

The statistical method that is used for identifying the cost behavior is  (e) Least Squares regression method .

The Least Squares Regression method is defined as a statistical technique that is used to determine the relationship between two variables, which are , "the cost" and its "corresponding activity level" .

This method also involves plotting data points on a scatter diagram and fitting a straight line to data points.

The line that best fits data is line that minimizes sum of squared vertical distances between the data points and the line, this is why it is called the Least Squares regression method.

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The given question is incomplete , the complete question is

A statistical method for identifying cost behavior is the:

(a) Scatter diagram method

(b) High low method

(c) Composite method

(d) CVP charting method

(e) Least Squares regression method

Answer: D. the division property of equality

Step-by-step explanation:

In step three you will be dividing -2.5 divided by -0.3 to get a.

The statement that best describes the two - way frequency table is b. More females like soccer.

The number of females who like soccer are 31 females out of a total of fifty females who were interviewed.

This means that the number of females who like basketball are :

= 50 - 31 females for soccer

= 19 females

31 females like soccer while 19 females like basketball which shows that more females prefer soccer to basketball.

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The solution is, point (5,4) will correspond to (5,8).

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

1) To find that the corresponding points, let'-s plug it into that formula:

(5,4)

If we plug 5 and we have output the number 4,

then f(x) is y=x-1

now,

2f(x-3)+4  is the function f(x) with a horizontal shift of 3 units to right, a vertical stretch 4, a reflection.

2) y=2(5-3)+4 then y=2(2)+4

y=8

So point (5,4) will correspond to (5,8)

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a) The change in total cost for each book printed is $15.

b) The cost to get started (Before any books are printed) is $110

Overall, understanding the relationship between the number of copies printed and the total cost of publishing a book can help publishers and authors make important financial decisions.

a) The change in total cost for each book printed is represented by the slope of the equation.

In this case, the equation is in slope-intercept form

=> y = mx + b, where m is the slope and b is the y-intercept.

The slope of the equation 15x+1100=y is 15.

This means that for every additional book printed (x), the total cost (y) will increase by $15.

So, the change in total cost for each book printed is $15.

b) The cost to get started, before any books are printed, is represented by the y-intercept of the equation. In this case, the y-intercept is 1100.

This means that the cost to get started, before any books are printed, is $1100.

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Answer:

Step-by-step explanation:

Given the volume of a cylinder, V = πr^2h, where r is the radius, h is the height, and π is Pi, we can find the radius by rearranging the equation and solving for r.

V = πr^2h, so r^2 = V / (πh)

Taking the square root of both sides, we have:

r = √(V / (πh))

Substituting the given values:

r = √(950 / (π * 10))

Since Pi is approximately equal to 3.14, we can calculate the approximate value of r:

r = √(950 / (3.14 * 10))

r ≈ 7.46

Therefore, the radius of the cylinder with a volume of 950 cubic inches and a height of 10 inches is approximately 7.46 inches.

Answer:

Step-by-step explanation:

im guessing youre finding the price of the favour.

(305-265)/8=answer

"/" means divide.

The original price of the table was $200 before the 64% discount was applied.

What is the percentage?

Percentage is a way of expressing a fraction or proportion out of 100. It is commonly used to compare two quantities, indicate the change or growth of a quantity over time, or express the probability or chance of an event occurring.

If you received a 64% discount on the sale price of a table, and the sale price is $72, we can calculate the original price of the table as follows:

Determine the percentage of the original price that corresponds to the sale price after the discount:

If the sale price is 100% - 64% = 36% of the original price, after the 64% discount.

Use the percentage found in step 1 to calculate the original price:

Let x be the original price

x * 36% = $72

0.36x = $72

x = $72 / 0.36

x = $200

Therefore, the original price of the table was $200 before the 64% discount was applied.

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Answer: 1/3(6x-12)=2(x-2)

Step-by-step explanation:

The number of fluids remaining after x weeks is given by the following equation:

y = 100 - 9x.

Hence the number of fluids remaining after week x is found replacing x by the week at the above equation.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

For this problem, the parameters are given as follows:

Hence the function is given as follows:

y = 100 - 9x.

The problem is incomplete, hence the function used to obtain the amounts is presented.

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The rounding off the value 0.1347 to the nearest tenth is 0.1

What is rounding off?

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

The act of rounding off is merely an estimation. Rounding off is the process of estimating an actual number to a close number.

Given, 0.1347 round to the nearest tenth

While rounding to the nearest tenth, the value after the digit has been noticed.

In the number 0.1347, rounding to the nearest tenth, digit 3 should play a role to round the digit 1 which is in the tenth position. 3 is not equal to 5 and less than 5.

So, 0.1347 becomes 0.1

Hence, the required answer is 0.1

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Answer:

56 crickets

Step-by-step explanation:

Answer:

The probability of choosing 2 girls from a list of 6 girls and 6 boys can be calculated using combinations.

The number of combinations of choosing 2 girls out of 6 girls is given by the formula: C(6,2) = 6! / (6-2)!2! = 15.

So, the probability of choosing 2 girls is 15 / (C(12,2) = 66) = 15/66 = 5/22.

Therefore, the probability of Mr. Mackinson choosing 2 girls to lead the class field trip is 5/22 or approximately 0.227.

Answer:

The expressions are identical, as shown by two methods:  1) equation rearrangement and 2) mathematical calculations.

Step-by-step explanation:

2(x + 5) + 3x

Let's simplify this expression.

2(x + 5) + 3x  

2x + 10 + 3x    [remove parentheses]

5x + 10              [combine like terms]

This matches the other expression.

5x + 10

Several values of x are calculated for both expressions and are shown on the attached table.  Each expression results in the same value for a given value of x.  This comparison also holds for negative numbers.

Answer:

6 units

Step-by-step explanation:

Since the two angles are equal, this means that the triangle is isosceles. So x+4 = 3x-8. After solving, 2x = 12,  x = 6. So AC is 6 units.

Answer: 6 units

Step-by-step explanation:

Since this is an isosceles triangle lines AB and BC are congruent so

x + 4 = 3x - 8 ---- add 8 and subtract x on both sides

12 = 2x ---- divide by 2 to isolate the x

x = 6

The answers include the following below:

This is referred to as the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Parallel lines refers to the type of lines that never cross one another and are the same distance apart at all times.

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The proper way to construct a stem-and-leaf plot to display the data set {62,67,68,73, 73, 79,91,94,95,97} is to include a stem labeled ‘8’ and enter no leaf on the stem. So, the correct choice is option (b).

A stem and leaf graph is like a special table where each data value is separated into a "stem" (the first number) and a "leaf" (usually the last number). Leaves are sorted in ascending order from left to right. We have a data set with values {62,67,68,73, 73, 79,91,94,95,97}. Now, to construct the stem- leaf plot for our data.

Stem | Leaf

6 | 2 7

7 | 3 3 9

9 | 1 4 5 7

For stem and leaf diagram if some values are not present for some stem, then no leaf should be added to that stem. If we skip that stem than it would distort the shape of distribution of the data.

stem | leaf

6 | 2 7

7 | 3 3 9

8 |

9 | 1 4 5 7

Hence, include a stem labeled 8 and enter no leaves on the stem.

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Complete question:

The proper way to construct a stem-and-leaf display for the data set {62, 67, 68, 73, 73, 79, 91, 94, 95, 97} is to

a)exclude a stem labeled ‘8

b)include a stem labeled ‘8’ and enter no leaves on the stem.

c) include a stem labeled ‘(8)’ and enter no leaves on the stem.

d) include a stem labeled ‘8’ and enter one leaf value of ‘0’ on the stem.

Answer:

b.  53.1°

c.  126.9⁰

Step-by-step explanation:

These are SSA triangles;  use Law of Sines to find the unknown angle:

b)  sin30/15 = sinA/24

sinA(15) = sin30(24)

sinA = sin30(24)/15 = 0.80

m∠A = sin⁻1(0.80) = 53.1°

c)  m∠A = 180 - 53.1 = 126.9⁰

Answer:

∠ BAC = 53.13° , ∠ BAC = 126.87°

Step-by-step explanation:

using the Sine rule in Δ ABC

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex]

where a is the side opposite ∠ A and c is the side opposite ∠ C

here a = BC = 24 and c = AB = 15 , then

[tex]\frac{24}{sinA}[/tex] = [tex]\frac{15}{sin30}[/tex] ( cross- multiply )

15 sinA = 24 sin30° ( divide both sides by 15 )

sin A = [tex]\frac{24sin30}{15}[/tex] , then

A = [tex]sin^{-1}[/tex] ( [tex]\frac{24sin30}{15}[/tex] ) = 53.13°

(b)

acute angle BAC = 53.13°

(c)

the sine of an angle is positive in both the first and second quadrant , so

obtuse angle BAC = 180° - 53.13° = 126.87°

The value of x is 18 and the measure of each side is:

QR = RS = QS = 29

An equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees.

Now, According to the question:

Angle QRS is an equilateral triangle.

QRS is an equilateral triangle, thus all the three sides of the given triangle will be equal.

we have

QR = 2x - 7___(1)

RS = 5x - 61 ___(2)

QS = 11 + x_____(3)

Now, As all the sides of the triangle are equal, therefore

QR = RS = QS

⇒QR = RS

⇒2x - 7 = 5x - 61

⇒ -7 + 61 = 5x - 2x

⇒ 54 = 3x

⇒ x = 18

Put the value of x in above equations:

Thus, the measure of

QR = 2(18) - 7=29,

RS = 5(18) - 61 = 29 and

QS = 11 + 18 = 29.

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Answer:

44

Step-by-step explanation:

Answer:

Step-by-step explanation:

Method 1: Counting the number of committees with exactly one engineer:

There are 2 ways to choose the engineer, and 10 ways to choose the remaining 9 computer scientists. Hence, there are 2 * 10 = 20 different committees with exactly one engineer.

Method 2: Using the combinations formula:

There are 12 people in total, and we need to choose 10 of them for the committee. We can use the combinations formula to calculate the number of different ways to choose 10 people from 12: C(12, 10) = (12!) / (10! * (12-10)!) = (12!) / (10! * 2!) = 66.

So, there are 66 different ways to create a committee of 10 people with at least one engineer represented.

No. The statement given by Yuki that 43 is a 2 digit odd number that is composite is not correct.

A composite number is a positive integer greater than 1 that has more than two positive divisors. In other words, a composite number is a number that can be divided by more than just 1 and itself. For example, 4 is a composite number because it can be divided by 1, 2, and 4.

On the other hand, a prime number is a positive integer greater than 1 that has exactly two positive divisors, 1 and itself. For example, 5 is a prime number because it can be divided only by 1 and 5.

Now, let's consider the number 43. 43 is a two-digit odd number, which means it has two digits and is not divisible by 2. However, 43 is a prime number, which means it has exactly two positive divisors, 1 and 43. Therefore, 43 is not a composite number.

To further verify this, we can check the divisors of 43. The divisors of 43 are 1 and 43, because 43 is not divisible by any other positive integer. Therefore, we can conclude that 43 is a prime number and not a composite number.

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Casey Na is due an extra overtime pay of $1,170 for the first quarter as part of his company's perfect attendance program.

What is overtime pay?

Overtime pay is the additional compensation paid to an employee for any hours worked in excess of the standard working hours or beyond the standard workweek. The rate of overtime pay is usually higher than the regular rate of pay for an employee's normal working hours.

To determine the extra overtime pay due to Casey Na for the first quarter, we need to know his regular pay rate and the number of hours he worked each week.

Let's assume that Casey Na's regular pay rate is $20 per hour and that he worked 40 hours each week during the first quarter. This means that he worked 3 hours of overtime each week, for a total of 39 hours at his regular rate and 3 hours at his overtime rate.

To calculate his overtime pay for the first quarter, we can use the following formula:

Overtime pay = overtime hours x overtime rate

Since Casey Na worked 3 hours of overtime each week for 13 weeks, his total overtime hours for the first quarter were:

Total overtime hours = 3 hours/week x 13 weeks = 39 hours

His overtime rate is 1.5 times his regular rate, or $20 x 1.5 = $30 per hour.

Therefore, his overtime pay for the first quarter was:

Overtime pay = 39 hours x $30/hour = $1,170

Since he also earned a bonus of $975 for perfect attendance, his total extra pay for the first quarter was:

Extra pay = Overtime pay + Bonus = $1,170 + $975 = $2,145

Therefore, Casey Na is due an extra overtime pay of $1,170 for the first quarter as part of his company's perfect attendance program.

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The number of movies on the shelf is given as follows:

36 movies.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

For this problem, the parameters are given as follows:

Hence the total number of outcomes, representing the number of movies on the shelf, is obtained as follows:

1/4 = 9/x

x = 9 x 4

x = 36 movies.

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Answer: The equation of a line in the form y = mx + b can be found using the slope-intercept form, where m is the slope of the line and b is the y-intercept. To find the equation of BC, we need to find the slope of the line and one point on the line.

The slope of the line can be found using the two points A and B. The slope of the line can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of points A and B, respectively. Plugging in the values, we get:

m = (4 - (-1)) / (4 - (-3)) = 5 / 7

So the slope of the line BC is 5/7.

One point on the line BC is B = (4, 4), so we can use this point and the slope to find the y-intercept:

b = y - mx

where y and x are the y and x coordinates of point B, respectively. Plugging in the values, we get:

b = 4 - (5/7) * 4 = 4 - 20/7 = -16/7

So the equation of line BC in the slope-intercept form is:

y = (5/7)x - 16/7

Step-by-step explanation:

The surface area of the triangular prism is 62 square units.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface.

For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has.

The side length of each of the three squares is 4 units.

The area of each would be:

4² = 16 sq. units.  

For the three squares we have:

16(3) = 48 sq. units.

The area of each triangle is 7 sq. units.

This means together the area of the two triangles is 2(7) = 14 sq. units.

The surface area of the prism is:

14 + 48 = 62 sq. units.

Hence, the surface area of the triangular prism is 62 square units.

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