The State Education Department requires local school districts to keep these records on all students: age, race or ethnicity, days absent, current grade level, standardized test scores in reading and mathematics, and any disabilities or special educational needs the student may have.

Which of the following are categorical (or qualitative) variables in these records?
Current Grade Level
Mathematics Test Score
Disabilities or Special Needs
Reading Test Score
Days Absent
Age
Race or Ethnicity

With the sum of digits of a two-digit number is 9. If the digits are reversed, the number is increased by 63. The number is 18. So, the correct option is A.

Let the two-digit number be represented by 10x + y, where x is the tens digit and y is the ones digit. We are told that x + y = 9 and that if the digits are reversed, the number is increased by 63.

If we reverse the digits of the original number, we get 10y + x. The difference between this number and the original number is 63, so we can set up the equation:

10y + x - (10x + y) = 63

Simplifying this equation, we get:

9y - 9x = 63

Dividing both sides by 9, we get:

y - x = 7

Now we have two equations: x + y = 9 and y - x = 7. We can solve this system of equations by adding the two equations:

2y = 16

y = 8

Substituting y = 8 into x + y = 9, we get:

x + 8 = 9

x = 1

Therefore, the original number is 10x + y = 10(1) + 8 = 18. So the answer is (a) 18.

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Answer:

  B)  2%

Step-by-step explanation:

The simple interest formula is ...

  I = Prt

Interest I is earned on principal P when it is invested at rate r for t years.

Filling in the given values, we can solve for r:

  200 = 2000r(5)

  200/10000 = r = 2/100 = 2%

The interest rate is 2%.

Answer:

D

Step-by-step explanation:

Answer:

D. \(8a^{9} -4a^{3} +1\)

Step-by-step explanation:

Given \(r(x)=x^{3} -2x+1\) and find \(r(2a^{3} )\) :

Solve for \(r(2a^{3} )\) :

1. \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1\)

2. \(r(2a^{3} )=8a^{9} -2(2a^{3})+1\)

3. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)

Answer:

So, if \(r(x)=x^{3} -2x+1\), then \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1=8a^{9} -4a^{3}+1\).

Then the answer is D. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)

The response to the given question would be that Because it has a interest higher interest rate and a longer term than option 3, option 1 would generate the greatest interest.

By dividing the principal by the interest rate, the passage of time, and other factors, simple interest is determined. Simple return equals principle plus interest plus hours is the formula used in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating interest is as a portion of the principle amount. For example, if he borrows $100 from a buddy and agrees to pay back the loan at 5% interest, he will only pay his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and you must charge interest when you lend it. Typically, interest is determined as an annual percentage of the loan total. The interest rate of the loan is defined as this ratio.

The following would be the order of 2000 simple interest generated on an investment, from least to most:

2000 invested for 20 years at 3% simple interest

2000 invested for three years at 10% simple interest

2000 invested at 10% simple interest for nine years

Because of its longer length and lower interest rate than the other two alternatives, Option 2 would yield the least amount of interest.

Due to its higher interest rate and longer period, option 3 would generate more interest than option 2.

Because it has a higher interest rate and a longer term than option 3, option 1 would generate the greatest interest.

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The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Answer:

Step-by-step explanation:

81 texts in 9 hours

So you do 81 divided by 9

Which givrs you 9 text an hour

Answer:

-----------------------

Substitute 12 and 24 for n into formula and calculate.

So, the 12th term is 63 and 24th term is 123.

Answer:

Step-by-step explanation:

(a) To find the linear cost function C(x), we need to consider the fixed cost and the marginal cost. The fixed cost is $100, and the marginal cost is $8 per pair of earrings.

The linear cost function can be represented as C(x) = mx + b, where m is the slope (marginal cost) and b is the y-intercept (fixed cost).

In this case, the slope (m) is $8, and the y-intercept (b) is $100. Therefore, the linear cost function is:

C(x) = 8x + 100.

(b) The average cost function (AC) can be found by dividing the total cost (C(x)) by the number of units produced (x):

AC(x) = C(x) / x.

Substituting the linear cost function C(x) = 8x + 100, we have:

AC(x) = (8x + 100) / x.

(c) To find C(5), we substitute x = 5 into the linear cost function:

C(5) = 8(5) + 100

= 40 + 100

= 140.

Interpretation: C(5) = 140 means that when the artist produces 5 pairs of earrings, the total cost (including fixed and variable costs) is $140.

(d) To find C(50), we substitute x = 50 into the linear cost function:

C(50) = 8(50) + 100

= 400 + 100

= 500.

Interpretation: C(50) = 500 means that when the artist produces 50 pairs of earrings, the total cost (including fixed and variable costs) is $500.

(e) The horizontal asymptote of C(x) represents the cost as the number of units produced becomes very large. In this case, the marginal cost is constant at $8 per pair of earrings, indicating that as the number of units produced increases, the cost per unit remains the same.

Therefore, the horizontal asymptote of C(x) is $8, indicating that the average cost per pair of earrings approaches $8 as the number of units produced increases indefinitely.

In practical terms, this means that for every additional pair of earrings produced beyond a certain point, the average cost will stabilize and remain around $8, regardless of the total number of earrings produced.

Answer:

point B

Step-by-step explanation:

it turns in to -1 1/2

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

3x × 8x- 3x×16

24x -48x

-24x

Answer:

y=3x+8

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

you find the slope by using this formula:

then we figure out it is 3

then graph to find the y-intercept which is 8

Answer:

y = 3x + 8

Step-by-step explanation:

Below is the image for the formula of the slope.

1. Subtract y values:
17 - 5 - 12
2. Subtract x values:
3 - (-1) = 4
3. Divide y/x
12 / 4 = 3
Therefore, the slope is 3.

Next, you need to find the y-intercept. This is our equation so far:
y = 3x + b
We can substitute any of the points given to us from the problem. I will use the first point: (-1, 5).

When substituting, you get:
5 = 3 ( -1 ) + b
5 = -3 + b
b = 8

Therefore, the equation is y = 3x + 8

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

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Answer:

Step-by-step explanation:

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

What is Area ?

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

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Answer:

The answer is 4 simplified.

Step-by-step explanation:

The answer is 4 because when dividing you flip the second fraction you are using and you multiply instead of dividing so the equation turns into 1/2 * 8/1 and it equals 8/2 and 8/2 simplified is 4

P.S Can I have brainliest?

Answer:

Fraction: 1/16     decimal: 0.0625

Step-by-step explanation:

I honestly don't know how to explain this but I hope it helps!

                                                                                  -Madi <3

Answer:

2 feet

Step-by-step explanation:

Given the question :

A 6 foot wide painting should be centered on a 10 foot wide wall. How many feet (x) should be on each side of the painting?

Width of painting = 6 foot

Width of wall = 10 foot

Since the painting is required to be centered on the wall, hence the space left on euth side of the wall after placing the painting should be equal.

Therefore,

Difference between painting width and wall width :

(10 - 6) foot = 4 foot

Hence, number of feet (x) on either side of the wall:

4 feet / 2 = 2 feet

Answer:

The amount Selma's distance from home changes per unit of time.

The slope is 38, which means that Selma's distance from home increases by 38 miles per hour.

Step-by-step explanation:

I just took the the test in k12 and I got it right.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. Selma's distance from home increases by 38 miles per hour.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

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

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points from graph are (2, 91) and (4,167)

x₁=2,y₁=91,x₂=4, y₂=167

Substitute in the formula

167-91/4-2

76/2

38

The amount Selma's distance from home changes per unit of time.

So slope is 38, which means that Selma's distance from home increases by 38 miles per hour.

Hence Selma's distance from home increases by 38 miles per hour.

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Answer:

Amadi: 20 years old

Chima : 4 years old

Answer: the last option is correct

Step-by-step explanation:Using the formulas for converting Cartesian coordinates to polar coordinates:

r = √(x^2 + y^2)

θ = atan2(y, x)

where x and y are the Cartesian coordinates, r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.

Given the Cartesian coordinates (x, y) = (-7√3/2, 7/2), we can substitute these values into the formulas:

r = √((-7√3/2)^2 + (7/2)^2)

θ = atan2(7/2, -7√3/2)

Simplifying the expressions:

r = √(147/4 + 49/4) = √(196/4) = √49 = 7

θ = atan2(7/2, -7√3/2)

Using a calculator or reference table to find the arctangent of 7/2 divided by -7√3/2, we get:

θ ≈ 5π/6

So the correct answer is: (7, 5π/6), which is option (6).

Answer:

Step-by-step explanation:

Square root functions   No

Quadratic functions       No

Rational functions          Often but not always

Logarithmic functions      No (although log functions do have vertical asy)

Exponential functions      Yes, to the left of the y-axis

Rational Functions and Exponential Functions can have horizontal asymptotes.

What is a horizontal asymptote?

The asymptote function is the quotient from the division of the numerator polynomial by the denominator polynomial. Any remainder from that division will necessarily tend to zero as the independent variable gets large.

Given data ,

Square root Functions :

A square root function has no asymptotes because it is a 2nd degree polynomial.

Quadratic Functions :

The quadratic function has no horizontal asymptote

Rational Functions :

A rational function has at most one horizontal asymptote or oblique (slant) asymptote, and possibly many vertical asymptotes. The degree of the numerator and degree of the denominator determine whether or not there are any horizontal or oblique asymptotes.

Logarithmic Functions :

The basic log function has a vertical asymptote where its argument is zero. It has a positive slope for all positive arguments. It tends to infinity as the argument tends to infinity. There is no horizontal asymptote.

Exponential Functions :

The parent function eˣ has a horizontal asymptote at y=0.

As x-approaches infinity, we get a rational function whose denominator becomes bigger and bigger while the numerator is constant

Hence , Rational Functions and Exponential Functions can have horizontal asymptotes.

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The answers are:

Part A: The two values of x are: x > 8 or x < -24

Part B: Closed circles at -24 as well as 8 on the number line.

Inequalities are mathematical formulas with two sides that are unequal. In an inequality, we evaluate two numbers rather than two equations. In place of the equal sign, a less than (less than or equal to), larger than (greater than or equal to), or not equal to sign is used.

The following steps are missing for the inequalities:

Solving the inequalities,

Part A:

|1/4x+2|+4 >= 8

|1/4x+2|>=4

Now when we remove the sign fom the inequality, there would be 2 values:

(1/4) x + 2 > 4 or (1/4) x + 2 < -4

Now subtracting 2 from both side:

\((\frac{1}{4} )x > 2\ or\ (\frac{1}{4} )x < -6\)

Divide both the sides by 4:

4(1/4) x > 4(2) or 4(1/4) x < 4(-6)

Now we get two values of x:

x > 8 or x < -24

Part B:

Closed circles at -24 as well as 8 on the number line. Draw a thick line from -24 to the left arrow and a thick line from 8 to the right arrow.

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Answer:

  (x, y) = {(-2, -3), (2, 5)}

Step-by-step explanation:

You want to solve the system of equations y=x²+2x-3 and y=2x+1.

The two expressions for y can be equated, and the resulting equation put in standard form.

  x² +2x -3 = 2x +1

  x² -4 = 0 . . . . . . . . . . subtract (2x+1)

  (x -2)(x +2) = 0 . . . . . factor

Values of x that make the factors zero are 2 and -2.

Corresponding values of y are ...

  y = 2x +1 = 2(2) +1 = 5

  y = 2(-2) +1 = -3

Solutions are ...

Answer:

11

Step-by-step explanation:

we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7

Answer:

it could be the number in 2015 is 2,330

Step-by-step explanation:

Just add the number of the students in 2014-2016.

1,030+ 1,300=2,330

Answer:

Part 2. Evaluate: C(-1).

Step-by-step explanation:

How do i solve for number 3.

Answer:

1/25

Step-by-step explanation:

5^4/5^6

Since we are dividing exponents with the same base, we subtract the exponents

5^( 4-6)

5^-2

We know that a^-b = 1/a^b

1/5^2

1/25

Answer:

1/125

Step-by-step explanation:

Negative exponents don't make the number negative, it means that you divide the number by itself. So 1/(5×5×5) which is 1/125.

Answer:

the last one - 1/125

Step-by-step explanation:

Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

Answer:

x/5 = 5280/1

Step-by-step explanation:

this is a proportion set up and then cross multiple. You will get your answer for x. Which is 26, 400 feet.

Answer:

the equation y=mx+b

The y intercept is the point on a line that passes through the y line.

To solve the y intercept, solve y=mx+b.

m being slope

y being a y point

x being a x point

and b being y intercept.

Step-by-step explanation:

Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

"the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, the sum of two numbers is twenty-six the difference between five is more than the larger number and twice the smaller number' into a variable expression.

Since x represents the smaller of the two numbers,

Thus the larger number will be 26 - x

The expression asked above will be:

=> 5 + larger number - 2 * smaller number

=> 5 + 26 - x - 2 * x

=> 31 -3x

therefore,  "the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

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