Identifying Equivalent Expressions Check 1 3 Which equations are equivalent to ---(x) + =12? Select all that apply. 4 4 - 4x 3 + 1 / 4 12 3 + = 12 -x+3 .-12 4 1 =(x+3)=12 3 +==12 4 4) Intro

Answer:

The sample proportion of undergraduate students that used library books is 0.5286.

Step-by-step explanation:

The sample proportion is the number of desired outcomes divided by the size of the sample.

In this question:

Sample of 70 undergraduate students, 37 had used library books.

\(p = \frac{37}{70} = 0.5286\)

The sample proportion of undergraduate students that used library books is 0.5286.

Hey there!

GUIDE:

- means difference which also means “subtract”/“subtraction”.

+ means sum which also means “add”/“addition”.

÷ means quotient which also means “divide”/“division”.
× means product which also means “multiply”/“multiplication”.

= means which also means “is” or “equivalent to”.
a - z (any letter of the alphabet) is known as your “variable”

MET the ANSWER

“The SUM of 4 & k” or “The SUM of k and 4”

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Lavage Rapide's total cost per car washed is $19.05.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

Fixed costs are expenses that do not change based on the number of units produced or sold. Variable costs, on the other hand, change with the level of production or sales. Here, the fixed costs are cleaning supplies, electricity, maintenance, wages and salaries, depreciation, rent, and administrative expenses.

The variable cost is the cost per car washed, which includes wages and salaries and administrative expenses.

To calculate the total cost per car washed, we need to add fixed costs to the variable cost per car. So, the total cost per car washed for Lavage Rapide would be:

Total Cost per Car Washed = Fixed Costs + Variable Cost per Car Washed

Total Cost per Car Washed =\(($0.80 + $1,400 + $0.20 + $4,700 + $8,000 + $2,100 + $1,400) + ($0.40 + $0.05)\)

Total Cost per Car Washed = $18,620 + $0.45

Total Cost per Car Washed = $19.05

Therefore, Lavage Rapide's total cost per car washed is $19.05.

To know more about equation visit:

brainly.com/question/649785

#SPJ1

complete question:

Fixed Cost per Month Cost per Car Washed

Cleaning supplies $ 0.80

Electricity $ 1,400 $ 0.08

Maintenance $ 0.20

Wages and salaries $ 4,700 $ 0.40

Depreciation $ 8,000

Rent $ 2,100

Administrative expenses $ 1,400 $ 0.05

Step-by-step explanation:

the area of a circle is

pi×r²

that is for the whole circle, which is the same as 360 degree arc.

now that we have only 254 out of the total of 360 degrees, the sector area is

pi×r² × 254/360

pi×9² × 254/360 = pi×9 × 254/40 = pi×57.15 =

= 179.5420202... cm²

rounding to 1/10 is 180.0 cm².

so, it is actually D - none of the above.

Answer:

D. none of the above

Step-by-step explanation:

the area of a circle is

pi×r²

that is for the whole circle, which is the same as 360 degree arc.

now that we have only 254 out of the total of 360 degrees, the sector area is

pi×r² × 254/360

pi×9² × 254/360 = pi×9 × 254/40 = pi×57.15 =

= 179.5420202... cm²

rounding to 1/10 is 180.0 cm².

so, it is actually D - none of the above.

Ab=3.14xRadious to the power of 2

then to the area of the rectange you do B x H = YOUR ANSWER

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

Learn more about real return and stocks here: https://brainly.com/question/32228847

#SPJ1

Answer:

  right from the y-axis

Step-by-step explanation:

The ordered pair (3, 4) is understood to be the (x, y) coordinates of the point Paul wants to plot.

__

The x-coordinate (3) is the number of spaces the point lies to the right of the y-axis.

The y-coordinate (4) is the number of spaces the point lies above the x-axis.

__

If Paul is moving 3 spaces from the y-axis, he will be moving to the right to get to where he will plot the point.

Answer:

502.5pi or 1578.1415

Step-by-step explanation:

find area of one triangle (BH divided by 2), then multiply it by two since there are two, then find area of circle(pir^2),  divide in half because it is a semi-circle, add the areas together

Answer:

thanks for the points

Step-by-step explanation:

Answer:

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Step-by-step explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Answer:

i know this isnt suppose to be here or any of that but this needs to be stop any where...ok now that i have your attention everyone needs to know this people all over the world are burning bibles LETS STOP THIS because that is so disrepecful that people are doing that to the bible and thats hurting jesus and gods heart LETS STOP THIS BURNING BIBLE STUFF pls copy and paste this and share the word so we can stop this.

Step-by-step explanation:

Answer: the missing side is longer than the other sides. the other sides' measurements are over 18, so it doesn't make sense.

Step-by-step explanation:

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

To know more about Expression .

https://brainly.com/question/1859113

#SPJ11

Answer:

-13

Step-by-step explanation:

-3(2) = -6

2(-6) -1

-12-1= -13

Answer:

Hola senor

Step-by-step explanation:

Equations express relationships between variables and constants. The solutions to two-variable equations consist of two values, known as ordered pairs, and written as (a, b) where "a" and "b" are real-number constants. An equation can have an infinite number of ordered pairs that make the original equation true.

Here, the given equation is,

Rewriting this equation in terms of x, we have,

So, now creating a table, with the values, we get the ordered pair. For example, let us take x as 1, then ,

So, (1,0) is an ordered pair in this equation.

If x =0,

So the pair is, (0,-2).

The option that can be used to verify the trigonometric identity, \(tan\left(\dfrac{x}{2}\right)+cot\left(x \right) = csc\left(x \right)\) is option C;

C. \(tan\left(\dfrac{x}{2} \right) + cot\left(x \right) = \dfrac{1-cos\left(x \right)}{sin\left( x \right)} +\dfrac{cos \left(x \right)}{sin\left(x \right)} =csc\left(x \right)\)

A trigonometric identity is an equations that consists of trigonometric functions that remain true for all values of the argument of the functions

The specified identity is presented as follows;

\(tan\left(\dfrac{x}{2} \right)+cot(x)=csc(x)\)

The half angle formula for tangent indicates that we get;

\(tan\left(\dfrac{1}{2} \cdot \left(\eta \pm \theta \right) \right) = \dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}\)

\(\dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}=\dfrac{sin \left(\eta\right) \pm sin\left(\theta \right)}{cos \left(\eta \right) + cos \left(\theta \right)} = -\dfrac{cos \left(\eta\right) - cos\left(\theta \right)}{sin \left(\eta \right) \mp sin \left(\theta \right)}\)

When η = 0, we get;

\(-\dfrac{cos \left(0\right) - cos\left(\theta \right)}{sin \left(0 \right) \mp sin \left(\theta \right)}=-\dfrac{1 - cos\left(\theta \right)}{0 \mp sin \left(\theta \right)}=\dfrac{1 - cos\left(\theta \right)}{sin \left(\theta \right)}\)

Therefore;

\(tan\left(\dfrac{x}{2} \right)=\dfrac{1 - cos\left(x \right)}{sin \left(x \right)}\)

\(cot\left(x \right) = \dfrac{cos(x)}{sin(x)}\)

\(tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}\)

\(\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1-cos(x)+cos(x)}{sin(x)} = \dfrac{1}{sin(x)}\)

\(\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1}{sin(x)}=csc(x)\)

Therefore;

\(tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)} = csc(x)\)

The correct option that can be used to verify the identity is option C

Learn more about trigonometric identities in mathematics here:

https://brainly.com/question/14421002

#SPJ1

The formula holds true for matrices A and B.

The formula (A + B)^2 = A^2 + 2AB + B^2 holds true for all matrices A and B that are of the same size and can be added and multiplied. To prove this, we calculate the left-hand side and the right-hand side of the equation:

(A + B)^2 = (A + B)(A + B) = A^2 + AB + BA + B^2

Since AB = BA, we can simplify the equation to:

(A + B)^2 = A^2 + 2AB + B^2

So, the formula holds true for matrices A and B.

learn more about matrices: https://brainly.com/question/12661467

#SPJ1

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

For more questions on distance between

https://brainly.com/question/15958176

#SPJ8

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

Answer:

the answer is mai is 54 and lin is 59

The dimensions of the parallelogram are

AC = 10 units

AD = 7 units

< 1 = 45 degrees

The given figure is a parallelogram and hence the diagonals are equal. bisect each other and are perpendicular to each other

we have that:

AE = CE = BE = DE = 5

So AC = AE + CE

= 5 + 5

= 10

AD is solved using Pythagoras

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 5² + 5²

x² = 25 + 25

x = √50

x = 7.07

angle 1 is solved using tangent

tan < 1 = 5 / 5

< = arc tan (5 / 5)

< 1 = 45

Learn more on Pythagoras theorem here:

https://brainly.com/question/29363020

#SPJ1

Answer:

99x78=7722

123x56=6888

98x172=16856

900x38=34200

Step-by-step explanation:

If a box turtle Marcos found is 0.115m long, then the length in expanded form is (0.1 + 0.01 + 0.005).

As per the question statement, a box turtle Marcos found is 0.115m long.

We are required to find out the expanded form of the length.

To solve this question, we need to know the procedure to convert a decimal into a fraction:

First, we will have to eliminate the decimal point and then, consider the digits in the same order as a complete number which will be our numerator. Secondly, we will use (10ⁿ) as our denominator where "n" is the number of digits on the right side of the decimal point in the original decimal number. Thus, 0.115 can be written as \(\frac{115}{1000}\), since there are three digits after decimal point.

Now \(\frac{115}{1000}\) can be written in the following manner as shown below.

\(\frac{115}{1000}=\frac{100+10+5}{1000}\\ or, \frac{115}{1000}=\frac{100}{1000}+\frac{10}{1000}+\frac{5}{1000}\\ or, \frac{115}{1000}=\frac{1}{10}+\frac{1}{100}+\frac{5}{1000}\\ or, \frac{115}{1000}=0.1+0.01+0.005\)

Therefore, 0.115 can be written as (0.1 + 0.01 + 0.005) in its expanded form.

To Learn more about Expanded Form, click on the link below.

https://brainly.com/question/17837892

#SPJ9

Answer:

55 + 55 + x = 180

x=70 degrees

Step-by-step explanation:

Answer:

x = 70°

Step-by-step explanation:

this is an isosceles triangle with two angles that measure 55°, therefore 'x' equals 180-110 or 70°

Answer:

Your answer is 2.042

Step-by-step explanation:

If you want it simplified you can change it to

2.0/2.04.

The decimal notation of two and forty-two thousandths is 2.042.

Given that, two and forty-two thousandths.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.

Here, 2+42/1000

= 2+0.042

= 2.042

Therefore, the decimal notation of two and forty-two thousandths is 2.042.

To learn more about the decimal numbers visit:

https://brainly.com/question/1578006.

#SPJ6

Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

The size of the largest interior angle of the field is 69.86°

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,

We know that, angle opposite to the largest side is largest,

Therefore,

The largest angle is opposite is 210 m side, (say c)

Using the cosine rule,

210² = 170²+195²-2(170)(195)cosC

CosC = 170²+195²-210² / 2(170)(195)

CosC = 22825 / 66300

CosC = 0.344268477

C = 69.86°

Hence, the size of the largest interior angle of the field is 69.86°

Learn more about cosine rule, click;

https://brainly.com/question/26952873

#SPJ9

As a result, when the camera and the rocket are 4255 feet apart, the rate  trigonometry of change in the angle of elevation after launch is roughly -0.15807 radians/foot.

Trigonometry is the field of mathematics that explores the connection between triangle side lengths and angles. The issue first originated in the Hellenistic era, during the third century BC, as a result of the use of geometry in astronomical investigations. The subject of mathematics known as exact techniques is concerned with certain trigonometric functions and their possible applications in calculations. Trigonometry contains six commonly used trigonometric functions. Their separate names and acronyms are sine, cosine, tangent, cotangent, secant, and cosecant (csc). Trigonometry is the study of triangle characteristics, particularly those of right triangles. As a result, geometry is the study of the properties of all geometric forms.

Where is the camera's angle of elevation and c is the rocket's height above ground level.

We may express the angle of elevation using the given formula as:

r θ = tan⁻¹(c/2000)

c2 + x2 = d2, where d = 4255 ft 2c(dc/dx) + 2x = 0, and dc/dx = -x/c.

When we multiply c by 2000 tan() and x by (d2 - 20002) (since x is the horizontal distance between the camera and the rocket), we get: dc/dx = -(d2 - 20002) / (2000 tan())

tan1(0.02d/2000) = tan1(d/100000)

dc/dx = -(d2 - 20002) / (2000 tan(tan1(d/100000)) = -(d2 - 20002) / (2000 tan(tan1(d/100000)) = -0.005(d2 - 20002) / d

dc/dx = -0.005(42552 - 20002) / 4255 -0.15807 radians per foot

As a result, when the camera and the rocket are 4255 feet apart, the rate of change in the angle of elevation after launch is roughly -0.15807 radians/foot.

To know more about trigonometry visit:

https://brainly.com/question/29002217

#SPJ1