Algebra mathematic 8 class

Algebra Mathematic 8 Class

Answers

Answer 1

Answer: 3a − 2/2a(3a + 1)(3a − 1)

Step-by-step explanation:

I simplified it and got 3a − 2/2a(3a + 1)(3a − 1)


Related Questions


top question only fast pls

Answers

The volume of the triangular prism is V = 18ft³

What is the volume of the prism?

The volume of the prism is equal to the area of the triangular face, times the length of the prism, which is 9ft.

Remember that the area of a triangle of base B and height H is:

A = B*H/2

Here we can see that the base is 2ft and the height is 2ft, then the area of the triangular face is:

A = 2ft*2ft/2 = 2ft²

And thus, the volume of the prism is:

V = 2ft²*9ft

V = 18ft³

Learn more about volume at:

https://brainly.com/question/1972490

#SPJ1

Divide the sum 200 and 300 by the difference 80and 30.​

Answers

Answer:

10

Step-by-step explanation:

300 plus 200 is 500

80 minus 30 is 50

500 divided by 50 is 10

One shirt at H&M cost $7. what is the cost of 40 shirts

Answers

Answer:

$280

Step-by-step explanation:

7•40=$280

100 Points! Algebra question. Photo attached. Sketch the angle. Then find its reference angle. Show your calculations. Thank you!

Answers

The required reference angle of 13π/8 is 3π/8.

The reference angle of an angle in standard position is the positive acute angle formed between the terminal side of the angle and the x-axis.

Given an angle of 13π/8, we can determine its reference angle as follows:

Angle: 13π/8

Since the angle is in the fourth quadrant, we subtract it from 2π (one full revolution) to find the reference angle:

Reference angle: 2π - 13π/8 = 3π/8

Therefore, the reference angle of 13π/8 is 3π/8.

For more information on reference angles, you can visit brainly.com/question/30741629.

#SPJ1

A student has 40 dimes and nickels. Their total value is $2.95. If
de number of dimes and n= number of nickels, this system of equations
represents the situation:
d+n=40
0.10d+0.05n 2.95
How many of each type of coin are there? Solve the system to answer the
question.
A. 10 dimes and 30 nickels
B. 21 dimes and 19 nickels
C. 19 dimes and 21 nickels
D. 20 dimes and 20 nickels

Answers

Answer: C. 19 Dimes and 21 Nickels

19 x .10 = 1.90$
21 x .05 = 1.05$
1.90 + 1.05= 2.95$


1 dime is .10 (10 cents)
1 nickel is .05 (5 cents)

determine what type of model bets fits the given situation: A $500 raise in salary each year

Answers

Answer:A linear model

Explanation:

The type of model that best fits the situation of a $500 raise in salary each year is a linear model.

In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.

In the given case, the dependent variable is the salary and the independent variable is the year.

You may build a table to show that for increments of 1 year the increments of the salary is $500:

Year         Salary        Change in year         Change in salary

2010           A                           -                                       -

2011           A + 500     2011 - 2010 = 1          A + 500 - 500 = 500

2012          A + 1,000   2012 - 2011 = 1          A + 1,000 - (A + 500) = 500

So, you can see that every year the salary increases the same amount ($500).

In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).              

In this case, m = $500 and b is the starting salary: y = 500x + b.

PLEASE HELP ASAP!!!!!!

Answers

Answer:

A. Using the commutative property

Step-by-step explanation:

Because there is no use of commutative property in the solution process.

Answer:

A) Using Commutative property

Step-by-step explanation:

In step 1, it used distributive property when the number 5 is distributed inside of the equation in the parenthesis.

In Step 4, dividing both sides by 10 to further simplify the equation

In step 2, you combined like terms and it results to the equation in step 3

What is the length of side CB to one decimal place?
B
A
10
53°
C

Answers

The length of side CB to one decimal place is 89.3.

To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.

According to the sine rule:

sin(C) / x = sin(A) / AB

We know that angle A is 37° and AB is 120 units. Plugging in the values:

sin(53°) / x = sin(37°) / 120

To find x, we can rearrange the equation:

x = (120 * sin(53°)) / sin(37°)

Calculating this expression gives us:

x ≈ 89.32

Rounding this value to one decimal place, the length of side CB is approximately 89.3.

For more such questions on decimal,click on

https://brainly.com/question/28393353

#SPJ8

Which function has a horizontal asymptote at y = 3?

Answers

Answer: A) [tex]f(x)=\frac{6x^2-x+4}{2x^2-1}[/tex]

Step-by-step explanation:

Line [tex]y=L[/tex] is a horizontal asymptote of the function [tex]y=f(x)[/tex], if either [tex]\lim_{x \to \infty} f(x)=L[/tex] or [tex]\lim_{x \to \infty} f(x)=L[/tex], and [tex]L[/tex] is finite.

calculate the limits:

[tex]\lim_{x \to \infty} (\frac{6x^2-x+4}{2x^2-1})=3[/tex]

[tex]\lim_{x \to -\infty} (\frac{6x^2-x+4}{2x^2-1})=3[/tex]

Thus, the horizontal asymptote is [tex]y=3[/tex]

3. In a data set, the mode, median, and mean are all equal. Which data set below fits this description? A. 26, 39, 39, 39, 52 B. 26, 27, 28, 28, 39 C. 15.0, 15.5, 16.0, 16.0, 21.5 105, 110, 110, 116, 120​

Answers

A. 39, In Order of Least to Greatest 39 is in Middle, Which is Median. Mean Equals to Add All Numbers and Then Divide By How Many are Left. Mode is the Most Frequent Number.

find the expected value of the given variable with the following probability distribution

Answers

The expected value of the given variable with the probability distribution is 7

How to find the expected value of the variable

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

The probability distribution on the table of values

The expected value of the variable is calculated as

Expected value = ∑x * P(x)

Using the above as a guide, we have the following:

Expected value = 2 * 1/36 + 3 * 1/18 + 4 * 1/12 + 5 * 1/9 + 6 * 5/36 + 7 * 1/6 + 8 * 5/36 + 9 * 1/9 + 10 * 1/12 + 11 * 1/18 + 12 * 1/36

Evaluate

Expected value = 7

Hence, the expected value of the variable is 7

Read more about expected value at

https://brainly.com/question/24305645

#SPJ1

What is the end behavior of:
(2x ^ 2 - 5) / (x ^ 2 - 1)

A) x -> ∞ : f(x) -> 0

B) x -> ∞ : f(x) -> 2

C) f(x) -> - ∞ : x -> ∞

D) x -> ∞ : f(x) -> ∞

Answers

The given function does not have an end behavior because it is not a polynomial function.

What is the end behavior of a function?

The end behavior of a function refers to how the function behaves or approaches as the input values (x-values) of the function become extremely large (approaching positive infinity) or extremely small (approaching negative infinity).The long term behavior of the function when x moves towards the ends of the coordinate plane can be predicted.

In a polynomial function, the leading coefficient and degree of the function often determine the polynomial function.

The given function is;

f(x) = 2x² - 5 / x² - 1

The end behavior of this function does not exist because this is not a polynomial.

Learn more on end behavior of polynomial here;

https://brainly.com/question/29795631

#SPJ1

Julieta recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Instrument # of Students Guitar 12 Bass 3 Drums 10 Keyboard 5 Eighth Grade Students Instrument # of Students Guitar 4 Bass 3 Drums 6 Keyboard 2 Based on these results, express the probability that a student chosen at random will play an instrument other than guitar as a fraction in simplest form.

Answers

The probability of a student chosen at random playing an instrument other than the guitar is 29/45.

To calculate the probability of a student playing an instrument other than the guitar, we need to determine the total number of students who play instruments other than the guitar and the total number of students in the middle school.

In the seventh grade, the number of students playing instruments other than the guitar is 3 (bass) + 10 (drums) + 5 (keyboard) = 18.

In the eighth grade, the number of students playing instruments other than the guitar is 3 (bass) + 6 (drums) + 2 (keyboard) = 11.

The total number of students playing instruments other than the guitar is 18 + 11 = 29.

Now, let's calculate the total number of students in the middle school by summing up the number of students in each grade:

Seventh grade: 12 (guitar) + 3 (bass) + 10 (drums) + 5 (keyboard) = 30

Eighth grade: 4 (guitar) + 3 (bass) + 6 (drums) + 2 (keyboard) = 15

The total number of students in the middle school is 30 + 15 = 45.

Therefore, the probability of a student chosen at random playing an instrument other than the guitar is 29/45.

for such more question on probability

https://brainly.com/question/13604758

#SPJ11

can someone please help me on this algebra 13 homework! PLS QUICK!

Answers

The function y=x+3 has the greatest y intercept.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The given function is y=x, it has y intercept which is zero

The given function is y=-x, it has y intercept which is zero

Function is y=x+3, it has y intercept which is three

Function is y=2x, it has y intercept which is zero

Hence, the function y=x+3 has the greatest y intercept.

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ1

A family drove 592 miles during their trip this summer. In the winter they drove 376 miles during their trip . How many more miles did the family drive over the summer than over the winter . Explain !

Answers

Answer: 216

Step-by-step explanation:

592-376

592-300= 292

292-70= 222

222-6= 216

Can someone answer and provide an explanation for these problems?

Answers

The equation for each circle is given as follows:

36) (x - 2)² + (y - 15)² = 4.

37) (x + 8)² + (y + 18)² = 25.

38) (x - 11)² + (y + 9)² = 49.

39) (x - 13)² + (y + 8)² = 36.

What is the equation of a circle?

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

For item 36, the center is given as follows:

(-3, 11)

After the translation, the center will be given as follows:

(2, 15)

Hence the equation is given as follows:

(x - 2)² + (y - 15)² = 4.

For item 37, the center is given as follows:

(-3, -14)

After the translation, the center will be given as follows:

(-8, -18)

Hence the equation is given as follows:

(x + 8)² + (y + 18)² = 25.

For item 38, the center is given as follows:

(11, -9).

Hence:

(x - 11)² + (y + 9)² = r².

Point (18, -9) is on the circle, hence the radius squared is obtained as follows:

r² = (18 - 11)² + (-9 + 9)²

r² = 49.

Hence the equation is:

(x - 11)² + (y + 9)² = 49.

For item 39, the center is given as follows:

(13, -8).

Hence the equation is:

(x - 13)² + (y + 8)² = r².

Point (7, -8) is on the circumference of the circle, hence the radius squared is obtained as follows:

r² = (7 - 13)² + (-8 + 8)²

r² = 36.

Hence the equation is given as follows:

(x - 13)² + (y + 8)² = 36.

More can be learned about the equation of a circle at https://brainly.com/question/1506955

#SPJ1

What’s the value of x?

Answers

Answer:

The answer is 8

Step-by-step explanation:

/x/ // /8/

x=8

what is the vertical distance betweenj (2, 11/3) and (2, -4/3)

Answers

The vertical distance between the two points given are (2, 11/3) and (2, -4/3) is 5 units.

The two points given are (2, 11/3) and (2, -4/3). These points have the same x-coordinate of 2, which means they lie on a vertical line. The vertical distance between the two points is simply the difference between their y-coordinates.

So, the vertical distance between the two points is:

11/3 - (-4/3) = 15/3 = 5

This means that if we were to draw a line segment connecting the two points, the length of the segment would be 5 units, and the segment would be parallel to the y-axis.

To learn more about distance click on,

https://brainly.com/question/31278456

#SPJ1

Find the equation of the line passing through the point (–1, 5) and perpendicular to the line y = – 3x + 4.

A) 3y = –x + 16

B) y = –3x + 8

C) y = –3x + 2

D) 3y = x + 16

Answers

Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 4 ← is in slope- intercept form

with slope m = - 3

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-3}[/tex] = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

to find c substitute (- 1, 5 ) into the partial equation

5 = - [tex]\frac{1}{3}[/tex] + c ( add [tex]\frac{1}{3}[/tex] to both sides )

5 [tex]\frac{1}{3}[/tex] = c ⇒ c = [tex]\frac{16}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{16}{3}[/tex] ( multiply through by 3 to clear the fractions )

3y = x + 16

Find the y-intercept for the parabola defined by
this equation:
y=-4x^2-x+3

Answers

Answer:

y is 0,3

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

Answer:

(0,3)

Step-by-step explanation:

Two methods:

Method 1:  General method for any equation

Method 2: Method specific for parabolas in standard form

Method 1:  General method for any equation

For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis.  The y-axis is a vertical line through the origin (0,0).

Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis).  The only movement would be up or down.

Since no left-right movement will happen, the x-coordinate is zero.

For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation.  If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".

[tex]y=-4x^2-x+3[/tex]

[tex]y=-4(0)^2-(0)+3[/tex]

Order of operations requires exponents before multiplication, or addition & subtraction...

[tex]y=-4(0)-(0)+3[/tex]

multiplication...

[tex]y=0-0+3[/tex]

addition & subtraction, from left to right...

[tex]y=3[/tex]

So, when the x-value is zero, the y-value is three.  Therefore, the ordered pair representing that point is (0,3).

Method 2: Method specific for parabolas in standard form

The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": [tex]y=ax^2+bx+c[/tex], where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).

Note that for our equation, it is in standard form if we rewrite the equation to only use addition, [tex]y=-4x^2+-1x+3[/tex], where [tex]a=-4, ~b=-1 ~ \text{and}~c=3[/tex]

For a parabola in standard form, the y-intercept is always at a height of "c".

So, the y-intercept would be (0,3).

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 30% 30 % of this population prefers the color green. If 20 20 buyers are randomly selected, what is the probability that exactly 1 1 buyer would prefer green? Round your answer to four decimal places.

Answers

The probability that exactly 1 buyer would prefer green P ( A ) = 0.1854

Given data ,

A researcher wishes to conduct a study of the color preferences of new car buyers

And , 30 % of this population prefers the color green

where 20 buyers are randomly selected

Now , binomial distribution problem with n = 20, p = 0.30 and we want to find the probability of exactly 1 buyer preferring green.

The formula for the probability mass function of a binomial distribution is:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) = n! / (k! * (n-k)!)

Plugging in the values, we get:

P(X = 1) = (20 choose 1) * 0.30¹ * 0.70¹⁹

= 20 * 0.30 * 0.70¹⁹

= 0.1854 (rounded to four decimal places)

Hence , the probability that exactly 1 buyer would prefer green is 0.1854

To learn more about binomial distribution click :

https://brainly.com/question/29350029

#SPJ1

c) Tan²60° × Sin60° x Tan30° x Cos²45°​

Answers

The trigonometric relations are solved and equation is A = 3/4

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

A = Tan²60° × Sin60° x Tan30° x Cos²45°

On simplifying the equation , we get

Tan²60° = 3

Sin60° = √3/2

Tan30° = 1/√3

And , Cos²45° = 1/2

Now , the equation is A = 3 x √3/2 x 1/√3 x 1/2

A = 3/4

Hence , the trigonometric equation is solved and A = 3/4

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ1

A school asks students what type of sports they play. Complete the two-way table for the survey data. Find the answer for the missing letters and show your work as to how you arrived at each answer.

Answers

Answer: b: 58-22=36

A=37 68-22-9

d=99 37+62

c=29 34-9

Step-by-step explanation:

here is my algebra 13 homework screenshot, can somebody please help me quick!!

Answers

The slope of the graph f(x) = (1/3)x + 4 is less than the slope of g(x) = 4x-1

f(x) = 1/3 x + 4

g(x) = 4x - 1

The equation of line is given by y = mx +c

On comparing both equation with y = mx + c

m is the slope of the line and c is the intercept of the equation

Let the slope of f(x) is m₁

In f(x) =1/3 x + 4

m₁ = 1/3 = 0.33

Let the slope of g(x) is m₂

In g(x)  = 4x - 1

m₂ = 4

m₁ < m₂

slope of f(x) is less than slope of g(x)

To know more about slope click here :

https://brainly.com/question/19131126

#SPJ1

Miko was facing north-west at first. She turned in an anti-clockwise direction and faced north-east. What fraction of a complete turn did she make?

Answers

Answer:

3/4

Step-by-step explanation:

NW is 45° counterclockwise (anticlockwise) to North

If she turns 45° anticlockwise she will be facing directly west

If she turns another 180° anti clockwise, she will be facing east

To fact NE she must turn another 45°anticlockwise

Total anti-clockwise turn in degrees = 45 + 180 + 45 = 270°

One complete turn is 360°

So the total turn Miko made as a fraction of a complete turn
= 270/360

= 3/4

Select the correct answer.

Which coefficient matrix represents a system of linear equations that has a unique solution?

Answers

The coefficient matrix A represents a system of linear equations that has a unique solution.

In a system of linear equations, the unique solution exists when the coefficient matrix has full rank and the determinant of the matrix is non-zero.

The other coefficient matrices listed do not have these properties.

1.  [[6, 0, - 2]

     - 2, 0, 6

        1, - 2, 0]

has a determinant of zero, indicating that the system of equations is dependent and does not have a unique solution.

Similarly, the matrices

[5, 10, 5

 4, 1, 4

- 1, - 2, - 1]

and, [2, 0, - 2

        - 7, 1, 5

          4, - 2, 0]

also do not satisfy the conditions for a unique solution.

Therefore, the coefficient matrix A represents a system of linear equations that has a unique solution.

Learn more about Matrix here:

https://brainly.com/question/29132693

#SPJ1

Adam’s prepaid card charges a one-time opening fee and a monthly fee. The table below shows his total fees after x months.

x # of months y total fees ($)

2 27
3
4
5 60

a. How much is the initial opening fee?

b. How much is the monthly maintenance fee?

c. Write an equation to model Adam’s fees over time.

Answers

Based on a system of equaitons, the initial opening fee (one-time payment) is $5.00, the monthly maintenance fee is $11.00, while an equation that models Adam's fees over time in months, x is y = 11x + 5.

What is a system of equations?

A system of equations or simultaneous equations are two or more equations solved concurrently or at the same time.

An equation is a mathematical statement showing the equality or equivalence of two or more algebraic expressions.

While algebraic expressions combine variables with numbers and mathematical operands, equations use the equal symbol (=).

Total Fees after x months

x = # of months    y = total fees ($)

2                                      27

3                                      38 (11 x 3 + 5)

4                                      49 (11 x 4 + 5)

5                                     60

Let w = the monthly maintenance fee

Let z = the one-time opening fee

Equations:

5w + z = 60 ... Equation 1

2w + z = 27 ... Equation 2

Subtract Equation 2 from Equation 1:

3w = 33

w = 11

b) The monthly maintenance fee is $11.00.

a) The initial (one-time) opening fee is $5.00.

z = 60 - 55

= 5

c) The total fees after x months is y = 11x + 5.

Thus, the one-time opening fee and the monthly maintenance fee can be computed using a system of equations.

Learn more about system of equations at https://brainly.com/question/13729904.

#SPJ1

A square has an area of 56 units, find the length of the side in simplest form. Has to be an Improper fraction.

Answers

The length of the side of the square in simplest form is 2sqrt(14).

The area of a square is given by the formula [tex]A = s^2[/tex], where A is the area and s is the length of a side.

We are given that the area of the square is 56 units, so we can set up the equation:

[tex]56 = s^2[/tex]

To solve for s, we can take the square root of both sides of the equation:

sqrt(56) = [tex]sqrt(s^2)[/tex]

We can simplify the square root of 56 by factoring it:

sqrt(56) = sqrt(222*7) = 2sqrt(14)

So, we have:

2sqrt(14) = s

This is an improper fraction because the numerator is larger than the denominator. Therefore, the length of the side of the square in simplest form is 2sqrt(14).

For such more questions on side of a square

https://brainly.com/question/23761891

#SPJ11

which point lies in the solution set?

A. (4, –0.5)
B. (3, –2.5)
C. (–2.5, 4)
D. (–4.5, –3)

Answers

The point that lies in the solution set of (x - 2)²/25 + (y + 3)²/4 < 1 is B. (3, –2.5)

How to determine the point that lies in the solution set?

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

(x - 2)²/25 + (y + 3)²/4 < 1

Also, we have

A. (4, –0.5)

B. (3, –2.5)

C. (–2.5, 4)

D. (–4.5, –3)

Next, we test the options as follows

A. (4, –0.5)

(4 - 2)²/25 + (-0.5 + 3)²/4 < 1

1.7225 < 1  -- false

B. (3, –2.5)

(3 - 2)²/25 + (-2.5 + 3)²/4 < 1

0.1025 < 1   -- true

Hence, the point that lies in the solution set is B. (3, –2.5)

Read more about inequality at

https://brainly.com/question/30994664

#SPJ1

Va rog!! Cineva rapid

Answers

Answer:18

Step-by-step explanation:

Other Questions
which of the following characters is used to tell python that the remaining part of the line is a comment BACKGROUND: The United Nations is (describe organization)The most important goals of the United Nations are (list 2-3 short goals)CLAIM: The United Nations should be considered a success OR failure.EVIDENCE: For example...(Evidence that supports claim)EXPLANATION: This evidence shows (Explain how evidence supports claim)COUNTERCLAIM: Some might may argue that (Opposing claim)REFUTE: However (Prove Counterclaim wrong or show why your evidence is stronger) Radial glial cells stretch between the _______ and _______ surfaces of the developing nervous system.a) left; rightb) rostral; caudalc) medial; laterald) inner; outer morrie reacts differently to ted koppel than the others in morries house, who are star struck. what is morries reaction, and why does he react differently? fill in the blank ____ is valuable because it can be used as a nonbureaucratic conduit for information flows within a multinational enterprise. Determine the magnitude of the component force (f) in the figure below and the magnitude of resistant force fr : f fr i directed along the positive y _ axis scale 1 cm= 20n Rosa is a very even-tempered person, but lately she is having some emotional ups-and-downs that she is not usedto. She is eight weeks pregnant. What are her emotional changes MOST likely attributed to?Oimplantation releasing stress hormonesplacental growth using the majority of her energyher missed menstrual period destabilized her moodhormones shifting into pregnancy mode Let A = and b The QR factorization of the matrix A is given by: 3 3 2 V }V2 3 4 Applying the QR factorization to solving the least squares problem Ax = b gives the system: 9]-[8] (b) Use backsubstitution to solve the system in part (a) and find the least squares solution_ Which of the following gene regulation strategies is completely absent in bacteria A) Riboswitches B) Antisense RNA C) RNA interference D) micro RNA which term is used to describe any device on a network that can send and receive information? T/F: part-task practice strategies consist of practicing individual components of the skill independently. which theoretical perspective would say that hormone replacement therapy for post-menopausal women illustrates how our beliefs in sexual dimorphism shape the way we see biological reality? when we sit working at a desk, we know without looking where our legs, arms, and torso are. this perception of our body's position is known as find the indicated probability. round your answer to 6 decimal places when necessary. you are dealt one card from a 52-card deck. find the probability that you are not dealt a 5. Evaluate a - 13 when a = 33. (a) 46 (b) 20 (c) -46 (d) -20 A(n) __________ can be defined as a software that enables users to define, create and maintain a database and which provides controlled access to the database.a) Database management systemb) ERP.c) Data warehouse.d) Spreadsheet application.e) Word processing application. the prefix ____ is used when naming a requiredfieldvalidator object on a web form If the demand for product X is perfectly elastic and the supply of product X decreases, which ofthe following will occur in the market for X ?(A) Total revenue will increase.(B) Total revenue will decrease.(C) Total revenue will remain the same. (D) Quantity demanded will exceed quantitysupplied. (E) Quantity supplied will exceed quantitydemanded. Find the relationship of the fluxions using Newton's rules for the equation y^2-a^2-x(a^2-x^2 )=0. Put z=x(a^2-x^2 ). theory __________ managers see employees as having a general dislike for work and an unwillingness to accept responsibility.