density of air lb/ft3

Answer: $725

Step-by-step explanation:

100%-28%=72%

$522/72=7.25

7.25*100%=$725

To check the answer $725-28% (discount)=$203

$725 (yesterday price) - $203 (discount) = $522 (price today)

The equation can be used to solve for b is b = 5 / tan30°

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, a triangle, ∠ BCA = 90°, ∠ CAB = 30°, we need to find the equation for AC,

The equation for AC(b) =

tan30° = 5/b

b = 5 / tan30°

Hence, the equation can be used to solve for b is b = 5 / tan30°

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The surface area of the asked cube is 6x² cm²

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given is a cube, with side x cm,

We are asked to find the surface area of the cube,

There are 6 square faces of a cube, and the area of a square is side²,

Since, there are 6 square faces,

Therefore, the surface area of the cube, is given by :-

6 × side²

side = x

The surface area of the cube = 6x²

Hence, the surface area of the asked cube is 6x² cm²

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The area of the shaded sector is given as follows:

24π cm².

The length of the arc is given as follows:

2π.

The area of a circle of radius r is given by π multiplied by the radius squared, as follows:

A = πr²

The radius is the distance of the center of the circle to a point on the circumference of the circle, hence:

r = 12.

The entire area has an angle measure of 360º, hence the area of the sector with a central angle of 60º is given as follows:

A = 60/360 x π x 12²

A = 24π cm².

The circumference of a circle is given as follows:

C = 2πr.

Hence the length of the arc is given as follows:

C = 2 x 60/360 x π x 6

C = 2π.

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Using compound interest Arnold will have $412,102.63 in his IRA when he retires at age 67.

To find out how much Arnold will have in his IRA when he retires at age 67, we can use the formula for the future value of an annuity:

FV = PMT × ([tex](1 + r/n)^{(n*t)}[/tex] - 1) / (r/n)

Where:

Here are the steps to solve the future value of Arnold's IRA:

Convert the annual interest rate to a monthly rate and express it as a decimal:

r = 2.75% / 12 = 0.00229167

Determine the number of compounding periods per year:

n = 12 (since the interest is compounded monthly)

Calculate the number of years until Arnold retires:

t = 67 - 44 = 23

Plug in the values into the formula and solve for FV:

FV = 850 × ([tex](1 + 0.00229167/12)^{(12 * 23)}[/tex] - 1) / (0.00229167/12)

FV = $412,102.63

Therefore, Arnold will have $412,102.63 in his IRA when he retires at age 67.

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Answer:

Step-by-step explanation:

Applying the distance formula, we get that the distance is sqrt(14^2+(-3)^2)=sqrt(205), which is approximately 14.3178211. Rounding to the nearest tenth, we get that the distance is 14.3 units long.

A total of 23800 cubes can fit inside the box of the given dimensions.

The volume of a cube is given by -

Volume = a x a x a = a³

Given is that a box has a length of 10 inches, a width of 8[tex]\frac{3}{4}[/tex] inches, and a height of 4[tex]\frac{1}{4}[/tex] inches.

The volume of the box would be -

V = 10 x 8[tex]\frac{3}{4}[/tex] x 4[tex]\frac{1}{4}[/tex]

V = 10 x 35/4 x 17/4

V = 371.875 inches³

The volume of cube -

v = 1/4 x 1/4 x 1/4

v = 0.015625 inches³

Number of cubes that will fill the box would be -

n = V/v

n = 371.875/0.015625

n = 23800

Therefore, a total of 23800 cubes can fit inside the box of the given dimensions.

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Answer:

36

Step-by-step explanation:

The Inverse tangent is defined as the mathematical function that returns the angle whose tangent is a given number and the step to calculate the inverse tangent has been explained

Inverse tangent (also known as arctangent) is a mathematical function that returns the angle whose tangent is a given number. The inverse tangent function is denoted by "tan^-1" or "arctan".

To calculate the inverse tangent of a number, you can follow these steps:

Determine the input value (the number whose inverse tangent you want to find).

Use the inverse tangent function on your calculator.

The output of the inverse tangent function will be in radians. If you want the result in degrees, you can convert it using the formula: degrees = radians * (180/π), where π (pi) is approximately 3.14159

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The Z score for a 90% confidence interval is nearly 1.645.

A confidence interval is a range of values that, with a given degree of certainty, is likely to contain the real value of a population parameter.

For example, a 90% confidence interval means that if we were to take repeated samples of the same size from the same population

To figure the interval estimate for each sample,

Approximately 90% of these intervals would contain the true population parameter.

To find the Z score for a 90% confidence interval,

We can make use of a calculator or a conventional normal distribution table.

The Z score for a 90% confidence interval corresponds to the point on the standard normal distribution where the area to the right of the Z score is 0.05

(As the confidence interval is split evenly into two tails, each with a probability of 0.05).

Utilizing a standard normal distribution table or calculator,

We find that the Z score for a 90% confidence interval is approximately 1.645.

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Answer:

f(n)= f( n-1 ) + 6

2.75 can be written as a fraction in lowest terms as 11/4.

To convert a decimal like 2.75 to a fraction, we can follow these steps:

Step 1: Write the decimal as a fraction with the decimal as the numerator and 1 as the denominator.

In this case, we can write 2.75 as a fraction with a denominator of 1:

= 2.75/1

Step 2: Multiply the numerator and denominator of the fraction by 10 until the decimal is gone.

We can remove the decimal by multiplying both the numerator and denominator by 100 (since there are two decimal places):

2.75/1 x 100/100 = 275/100

Step 3: Simplify the fraction.

We can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 25 in this case:

275/100 ÷ 25/25 = 11/4

Therefore, the fraction is 11/4

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We can write the solution set as -

An inequality is used to compare two numbers or expressions.

Given is the linear inequality as -

|v| - 16 < - 5

The given linear inequality is -

|v| - 16 < - 5

|v| < - 5 + 16

|v| < 11

Now -

v < 11      {v > 0}

&

- v < 11      {v < 0}

v > - 11      {v < 0}

Therefore, we can write the solution set as -

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When x = 6 and y = -4, the value of of the expression 50-3(x²-y²)+x is -4.

An algebraic expression is when we use numbers and words in solving a particular mathematical question.  The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

Substitute x=6 and y=-4 into the expression 50-3(x²-y²)+x:

50 - 3(6² - (-4)²) + 6

= 50 - 3(36 - 16) + 6

= 50 - 3(20) + 6

= 50 - 60 + 6

= -4

Hence, when x = 6 and y = -4, the value of 50-3(x²-y²)+x is -4.

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300 kilogrammes is equal to about 661.39 pounds.

Weight = mass x gravity is the formula for relating mass and weight.

Such equation is known as Newton's Second Law of Motion.

The Latin word "libra," which means balance and weight, is where the name "pound sterling" comes from.

In Newtons, N, force (or weight) is measured.

the mass is measured in kilograms, kg.

You can use the conversion factor 1 kg = 2.20462 pounds to change kilogrammes to pounds.

Thus, 300 kg divided by 2.20462 pounds per kilogramme results in:

300 kg times 2.20462 pounds/kg equals 661.386 pounds (rounded to three decimal places).

300 kilogrammes is equal to about 661.39 pounds.

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The average rate of change of the cost from the 6th month to the 8th month is 1.

Rate of change is a major of house quickly one quantity change in relation to another it is parisu of the changing 122 the changing another quantity over specified time period.


The average rate of change from the 6th month to the 8th month can be calculated by taking the difference between the 6th and 8th month's cost and dividing it by the number of months between the two. In this case, the difference is 8.5 - 6.5 = 2, and the number of months is 2, so the average rate of change is 2/2 = 1. Therefore, the average rate of change of the cost from the 6th month to the 8th month is 1.

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The inequality that represents the number of push-up, is p ≥ 33. The minimum number of push-ups Dean must do on each remaining day to reach his goal is 33.

A mathematical statement describing how one linear expression is either less than or greater than another is known as a linear inequality. A real number that, when used as the variable in a linear inequality, results in a true assertion is the solution. There are either an endless number of solutions to linear inequalities or none at all. If there are an unlimited number of solutions, plot the solution set on a number line or use interval notation to express the solution.

Given that, Dean has done 230 push ups.

The remaining number of push ups to reach his goal is:

R = 900 - 230

R = 670

The number of pushups he needs to do in the next 20 days to reach his goal is:

p = 670/20

p ≥ 33

Hence, the inequality that represents the number of push-up, Dean must do on each remaining day to reach his goal is p ≥ 33.

The minimum number of push-ups Dean must do on each remaining day to reach his goal is 33.

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The measure of the angle of x is 69.

In order to find the measure of one angle, given the measure of the other angle on the same straight line, you must use the relationship between the angles.

When two angles are on the same line and adjacent, they must add up to 180 degrees. This means that the two angles, x degrees and (2x-27) degrees, must add up to 180 degrees. We can use this to solve for x. We can set up an equation to represent this relationship:

x + (2x - 27) = 180

We can now use the distributive property to solve for x.

3x - 27 = 180

Adding 27 to both sides of the equation, we get:

3x = 207

Dividing both sides of the equation by 3, we get:

x = 69

Therefore, the measure of the angle is x = 69 degrees.

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Complete Question:

The measures of two adjacent angles on a straight line are x degrees and (2x-27) degrees. Find x

The following formula is used for conversion of amu to kg:

1 amu = 1.66054 x [tex]10^{-27}[/tex]kg

The atomic mass unit (amu) is a unit of mass used in chemistry and physics to express the masses of atoms and molecules, whereas the kilogramme (kg) is the International System of Units' basic unit of mass (SI). We may use the following relationship to convert from amu to kg:

1.66054 x  [tex]10^{-27}[/tex]kg = 1 amu

To convert a mass from amu to kg, multiply the mass in amu by 1.66054 x [tex]10^{-27}[/tex]. For instance, if we have a mass of 10 amu, we may convert it to kg using the formula:

10 amu x 1.66054 [tex]10^{-27}[/tex] kg/amu = 1.66054 [tex]10^{-26}[/tex] kg.

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the total area available for the design on the soapbox car should be 636 inches² (square inches).

The correct calculations for the area of each side are:

Area of the first side = 6 inches x 54 inches

= 324 square inches

Area of the second side = 54 inches x 14 inches

= 756 square inches

Area of the third side = 14 inches x 24 inches

= 336 square inches

Area of the fourth side = 24 inches x 6 inches

= 144 square inches

To get the total area available for the design, we need to subtract the area of the top and bottom of the soapbox car, which are not included in the original measurements. If we assume the top and bottom are each rectangular and have the same dimensions as the first and third sides, we can calculate their total area as:

Area of the top = 6 inches x 54 inches

= 324 square inches

Area of the bottom = 6 inches x 54 inches

= 324 square inches

Total area of the top and bottom = 324 + 324

= 648 square inches

Finally, we can subtract the area of the top and bottom from the total area of the four sides to get the area available for the design:

Total area available for the design = (324 + 756 + 336 + 144) - 648

= 636 square inches.

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The equivalent value of the expression → (1 + 1) is 2.

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is to find the equivalent value of the expression as  -

(1 + 1).

We can write the equivalent value of (1 + 1) as -

{x} = 1 + 1 = 2

{x} = 2

Therefore, the equivalent value of the expression → (1 + 1) is 2.

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The answer is 2 or window! Thank you for this <3

—————

The points are amazing lol! -Doodle

—————

The equivalent expression is 0.7 - 1.8h.

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2.1 + (-3.7h) + 1.9h - 1.4

Combine the like terms.

2.1 - 1.4 - 3.7h + 1.9h

0.7 - 1.8h

Thus,

0.7 - 1.8h is the equivalent expression.

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Answer:

The rate of change between two points is the difference in the y-coordinates divided by the difference in the x-coordinates.

Let's call the first point (-4, 1/2) Point 1, and the second point (1, -1) Point 2.

The difference in the y-coordinates is:

-1 - 1/2 = -3/2

The difference in the x-coordinates is:

1 - (-4) = 1 + 4 = 5

So, the rate of change between the two points is:

(-3/2) / 5 = -3/10

Therefore, the rate of change between Point 1 and Point 2 is -3/10.

Step-by-step explanation:

espero te ayude

The wax cost to cover the floor is $1,569.75.

The correct option is B.

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

Given:

A maintenance worker needs to wax a restaurant floor shaped like the image shown.

A six-sided figure.

There is a horizontal base of 35 feet then another horizontal base below it of 20 feet.

The longest side is to the right and is 40 feet.

The top is 30 feet.

There is a perpendicular from the vertex of the top to the first base of 35 that is labeled 15 feet.

The total area of the composite figure is,

= (15 x10) + (20 x 40) + (1/2 x 25 x 15)

= 1137.5 square feet.

If the wax cost $1.38 a square foot,

the cost is,
= 1137.5 x 1.38

= $1569.75

Therefore, the total cost is $1569.75.

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Answer:

7:a

Step-by-step explanation:

-15:-2a+9-a-3

-15:-3a+9-3

-15:-3a+6

-15-6:-3a

-21:-3a

Minus sign with be cancelled by each other

21:3a

21/3:a

7:a

To avoid unnecessary penalties, and stress and to get benefits from the government in time like financial aid we need to file tax returns on time.

The tax return is a process of reporting your income, expenses, and other financial information to the government for the purpose of calculating your tax liability.

It involves filling out a set of forms provided by a tax authority, such as the Internal Revenue Service (IRS) in the United States.

When you file a tax return, you report your income, deductions, and credits for the year. The tax authority uses this information to determine if you owe any taxes or if you are entitled to a refund.    

There are several reasons why it is important to file your tax return on time and the following are some of them

Therefore,

To avoid unnecessary penalties, and stress and to get benefits from the government in time like financial aid we need to file tax returns on time.  

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We know that a statistical technique that allows a researcher to cluster such traits as being talkative, social, and adventurous with extroversion is known as the Factor analysis.

Factor analysis is most likely a statistical procedure that identifies clusters of related items also known as factors which are on a test; used to identify different dimensions of performance that underlie one's total score.

We can say that factor analysis is more like a technique which is used in mathematics for reducing a larger number into a smaller number.

In other words, its a method for reducing a large variable into a smaller variable factor also this technique takes out the maximum ordinary variance from all of the variables and then puts them in the common score.

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The 3rd term of the geometric sequence is 6.

In mathematics, an equation is a statement that two expressions are equal. It usually contains one or more variables, which are unknown quantities that can take on different values. Equations are used to represent relationships between quantities, and they can be used to solve problems by finding the values of the variables that make the equation true.

An equation typically consists of two sides, separated by an equal sign. Each side can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. For example, the equation:

2x + 3 = 7

contains the variable x, as well as constants 2, 3, and 7, and mathematical operations of addition and multiplication.

Equations can be solved by applying algebraic techniques to isolate the variable on one side of the equation. For example, to solve the above equation for x, we can first subtract 3 from both sides to get:

2x = 4

Then, we can divide both sides by 2 to get

x = 2

This is the solution to the equation, which means that x must be equal to 2 in order to make the equation true.

Equations are used in many areas of mathematics, including algebra, calculus, geometry, and trigonometry. They are also used in physics, engineering, and other sciences to model physical phenomena and solve problems related to them.

Let's call the first term of the geometric sequence "a" and the common ratio "r".

The formula for the nth term of a geometric sequence is:

an = a *[tex]r^(n-1)[/tex]

We are given that the 2nd term is 2, so we know that:

a * r = 2 --(1)

We are also given that the 5th term is 432, so we know that:

a * [tex]r^4[/tex] = 432 --(2)

Now we need to solve for "a" and "r" in order to find the 3rd term.

First, let's solve equation (1) for "a":

a = 2 / r

Now we can substitute this expression for "a" into equation (2):

(2/r) *[tex]r^4[/tex]= 432

Simplifying, we get:

[tex]r^3[/tex]= 54

Taking the cube root of both sides, we get:

r = 3

Now we can substitute this value for "r" back into equation (1) to solve for "a":

a * 3 = 2

a = 2/3

So the first term of the sequence is 2/3 and the common ratio is 3.

Now we can use the formula for the 3rd term of a geometric sequence:

a3 = a * [tex]r^(3-1)[/tex]

a3 = (2/3) *[tex]3^2[/tex]

a3 = (2/3) * 9

a3 = 6

Therefore, the 3rd term of the geometric sequence is 6.

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Answer:

The rate of change between (-2/3, -4) and (-3, 4) is:

(change in y) / (change in x) = (4 - (-4)) / (-3 - (-2/3))

= 8 / (-2/3)

= -12

Therefore, the rate of change is -12.

Step-by-step explanation:

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The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

What is an angle of depression?

If the line of sight is directed downward from the horizontal line, then an angle is created with the horizontal line. The angle formed between the horizontal line and the observer's line of sight is known as the angle of depression if the object being observed is below the observer's level.

There is an angle of elevation from point R to S. Thus point R is lie above S.

The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

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