I did an exam I think 3 months ago and I got F Yesterday I did the same exam I did 3 months ago and got C+ is that good or bad?

Answer

put 1 on top and exo on bottom

Step-by-step explanation:

The cost of 4.5 tonnes of rock is $56.25

Given,

cost of 1 tonne of rock=$12.50

then

to find cost of 4.5 tonnes of rock, multiply 12.50 with 4.5,

cost of 4.5 tonnes of rock = 4.5* 12.50 = $56.25

Thus ,the cost of 4.5 tonnes of rock is $56.25.

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Answer:

Larry is 33 years old

Step-by-step explanation:

Hope this helped!!

Answer:

The correct answer is (9,7)

Point (9,7) is the solution to the system of inequalities. which is the correct answer would be an option (D).

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The system of inequality expression is given as:

-2x + 3y > 1  and - 5x + 6y < 1

We have to determine point is a solution to the following system of inequalities.

To determine the solutions, we have to graph both of the lines in the problem.

Here is the point (9,7) under the region of inequalities which is represented in the attached graph.

Therefore, point (9,7) is the solution to the system of inequalities.

Hence, the correct answer would be an option (D).

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Answer:

\(\sf \left(\dfrac{1}{11},\dfrac{3}{11}\right)\)

Step-by-step explanation:

The orthocenter is the point of intersection of the altitudes of a triangle.

(The altitude is the line that passes through the vertex and is perpendicular to the side opposite the vertex).

**Refer to attached diagram**

DC, EA and FB are the perpendicular lines drawn from the three vertices D, E and F.

\(\sf Let\:(x_1,y_1)=D\implies(x_1,y_1)=(1,3)\)

\(\sf Let\:(x_2,y_2)=E\implies (x_2,y_2)= (-1,0)\)

\(\sf Let\:(x_3,y_3)= F\implies (x_3,y_3)=(2,-1)\)

G (x, y) is the intersection point of the three altitudes of the triangle, i.e. the orthocenter.

To find the point of intersection (orthocenter), we need to create linear equations for the altitudes, then equate them to find the point of intersection.

We only need to work with 2 altitudes.

Calculate the slopes of two sides of the triangle.

\(\sf \implies Slope\:of\:EF=\dfrac{y_3-y_2}{x_3-x_2}=\dfrac{-1-0}{2-(-1)}=-\dfrac{1}{3}\)

\(\sf \implies Slope\:of\:DF=\dfrac{y_3-y_1}{x_3-x_1}=\dfrac{-1-3}{2-1}=-4\)

As the slopes of the altitudes are perpendicular to the slopes of the sides:

\(\textsf{Slope of DC}=\sf \dfrac{-1}{\textsf{slope of EF}}=\dfrac{-1}{-\frac{1}{3}}=3\)

\(\textsf{Slope of EA}=\dfrac{-1}{\textsf{slope of DF}}=\sf \dfrac{-1}{-4}=\dfrac{1}{4}\)

Using point D (1, 3) and the slope of DC to create a linear equation for DC using the point-slope form of a linear equation:

\(\sf \implies y-y_1=m(x-x_1)\)

\(\sf \implies y-3=3(x-1)\)

\(\implies \sf y=3x\)

Using point E (-1, 0) and the slope of EA to create a linear equation for EA using the point-slope form of a linear equation:

\(\sf \implies y-y_1=m(x-x_1)\)

\(\sf \implies y-0=\dfrac{1}{4}(x-(-1))\)

\(\sf \implies y=\dfrac{1}{4}x+\dfrac{1}{4}\)

To find the x-value of the point of intersection (the orthocenter), equate the equations and solve for x:

\(\implies \sf 3x=\dfrac{1}{4}x+\dfrac{1}{4}\)

\(\implies \sf \dfrac{11}{4}x=\dfrac{1}{4}\)

\(\implies \sf 11x=1\)

\(\implies \sf x=\dfrac{1}{11}\)

To find the y-value of the point of intersection (the orthocenter), substitute the found value of x into the equation for line DC:

\(\implies \sf y=3\left(\dfrac{1}{11}\right)\)

\(\implies \sf y=\dfrac{3}{11}\)

Therefore, the orthocenter is at point:

\(\sf \left(\dfrac{1}{11},\dfrac{3}{11}\right)\)

Answer:

678

Step-by-step explanation:

250 + 23 (20 - 1 )

Replace the n with 20 Bc n is the number of bikes

250 + 23 (20 - 1 )

Do the parentheses

250 + 23 (19)

Multiply the 23 by 19

250 + 437

Add both numbers

The required weight of the 20 bikes in the container is 687 pounds.

An expression regarding relative weight between the bike-containing container is given 250+23(n−1), where n represents the number of bikes and the whole equation gives the cumulative weight of the bikes.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The given expression is 250+23(n−1),
Now, put n  = 20 According to the question,
Wight  = 250 + 23 (20 - 1)
Weight = 250 + 23 * 19
Weight = 687.

Thus, the required weight of the 20 bikes in the container is 687 pounds.

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Answer:

Step-by-step explanation:

a) y=x²-4x+10

\(x^2-4x+10=\\\\x^2-2(x)(2)+2^2-2^2+10=\\\\(x^2-2(x)(2)+2^2)-2(2)+10=\\\\(x-2)^2-4+10=\\\\(x-2)^2+6\\\\Hence \ y=(x-2)^2+6\)

b) y=x²+8x+9

\(x^2+8x+9=\\\\x^2+2(x)(4)+4^2-4^2+9=\\\\(x^2+2(x)(4)+4^2)-4^2+9=\\\\(x+4)^2-16+9=\\\\(x+4)^2-7\\\\Hence \ y=(x+4)^2-7\)

c) y=x^2-22y+124

\(x^2-22x+124=\\\\x^2-2(x)(12)+12^2-12^2+12^2=\\\\x^2-2(x)(12)+12^2=\\\\(x-12)^2\\\\Hence \ y=(x-12)^2\)

we have two points (x, y): (0,1) and (1,3)

We can use the point-slope form

(y - y1) = m (x -x1)

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

or

The slope-intercept form.

y = mx + b

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

y-intercept is (0, b)

__________________________

Using The slope-intercept form,

y = mx + b

b = 1

point (0,1)

Replacing

y = mx + 1

finding the slope

point 1 (0, 1), x1= 0; y1= 1

point 2 (1, 3); x2= 1; y2= 3

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

Replacing

m= ( 3- 2)/ (1 - 0) = 2/1 = 2

___________________

Replacing the slope

y = 2x + 1

__________________

Answer

y = 2x + 1

Answer:

25/32 inches

Step-by-step explanation:

Alright so, the perimeter of the square is 3 1/8 inches. And we also know all the sides of a square are equal.

The equation for solving perimeter is 2x+2y=perimeter. (Whereas x and y are the length and widths). But since a square has all of its sides equal, we could simply multiply all sides by 4:

4x=3 1/8

x=25/32

Hope this helps :)

Answer:

Step-by-step explanation:

A

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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Answer:

Any of the steps below could be similar equations.

Step-by-step explanation:

2(x + 3) - 2 = 16

~Simplify

2x + 6 - 2 = 16

~Combine like terms

2x + 4 = 16

~Subtract 4 to both sides

2x = 12

~Divide 2 to both sides

x = 6

Best of Luck!

Step-by-step explanation:

When x = 0 the value is   1

when x = -1   value is 0

- | - x |  +1

Answer:

the value of x is 2

Step-by-step explanation:

if you subtract 3 from 15 you get 12 which you then divide by 6 which leaves with with 2

The value of x which will make the provided triangles similar by the sss similarity theorem is 77.

The SSS similarity theorem is the theorem which is used to check the two triangle are similar or not.

SSS means the side-side-side. This theorem states that if all the three sides of a triangle are proportional to the three corresponding sides of the another triangle, then the triangles are similar.

In the given image, the sides of the first triangle are 35,20 and 20. The sides of the second triangle are x, 44,44.

Thus, by the SSS similarity theorem,

\(\dfrac{x}{35}=\dfrac{44}{20}\\x=\dfrac{44\times35}{20}\\x=77\)

The value of x which will make the provided triangles similar by the sss similarity theorem is 77.

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Answer:

77

Step-by-step explanation:

The value of 9 x^2 + 4 x – 11 is 93. 96 when x = 3.2 and 17 when x = -2

Algebraic expressions are expressions composed of variables, terms, factors, constants and coefficients.

They are also made up of mathematical or arithmetic operations

Given the expression;

9 x^2 + 4 x – 11

Substitute the value of x as 3. 2

9(3.2 )² + 4(3.2) - 11

expand the bracket

9(10. 24) + 12. 8 - 11

104. 96 -11

93. 96

Substitute the value of x as -2

9(-2)² + 4(-2) - 11

9(4) - 8 - 11

17

Thus, the value of 9 x^2 + 4 x – 11 is 93. 96 when x = 3.2 and 17 when x = -2

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Answer:

it is 8.638

I hope that helps <3

Answer:

8.638

Step-by-step explanation:

Step-by-step explanation:

y = kx, where k is a real constant.

When x = 12, y = 60.

=> (60) = (12)k, k = 5.

Therefore when x = 20,

y = kx = (5)(20) = 100.

When we multiply two decimal numbers less than 1 then their product will be less than 1.

What do you mean by fraction?

A number that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. It is known as an improper fraction if the numerator is bigger and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder. By dividing the numerator by the denominator, any fraction can be expressed in decimal form. One or more digits may repeat indefinitely or the result may come to an end at some point.

If we multiply two decimal numbers less than 1 then their product will also be less than 1. Because we are determining a fractional portion of a quantity, this is the case.

Decimals are frequently multiplied by treating them as whole numbers before placing the decimal point in the result. Where the decimal point is placed in the solution depends on how many digits are present in the factors following the decimal points.

Therefore, when we multiply two decimal numbers less than 1 then their product will be less than 1.

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The probability that a randomly selected Riverside High School student is in twelfth grade is 0.4 and it can be determined by using probability.

The two-way table shows the estimated number of students who will enroll in three area high schools next year.

A 5-column table has 4 rows.

The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total number of students.

The second column is labeled Tenth grade with entries 110, 180, 160, 450.

The third column is labeled Eleventh grade with entries 120, 150, 140, 410.

The fourth column is labeled Twelfth grade with entries 80, 120, 200, 400.

The fifth column is labeled Total with entries 310, 450, 500, 1,260.

What is the probability that a randomly selected Riverside High School student is in twelfth grade?

The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total number of students.

The number of randomly selected Riverside High School students is in twelfth grade = 200,

And Total number of students in Riverside High School is = 500

Therefore,

The probability that a randomly selected Riverside High School student is in twelfth grade is,

\(\rm P(12th \ grade \students ) = \dfrac{Number \ of \ students \ in \ 12th \ grade }{Total\ number \ of \ students}\\\\ P(12th \ grade \students ) = \dfrac{200}{500}\\\\ P(12th \ grade \students )= 0.4\)

Hence, The required probability that a randomly selected Riverside High School student is in twelfth grade is 0.4.

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Answer:

C

Step-by-step explanation:

To draw the supply and demand for labor in a market in equilibrium, and illustrate the impact of a labor union, we can use a standard supply and demand graph with quantity of labor (Q) on the x-axis and wage (W) on the y-axis.

Market in Equilibrium:

In a competitive labor market, the supply of labor represents the quantity of workers willing and able to work at various wage levels. The demand for labor represents the quantity of workers that firms are willing to hire at various wage levels. In equilibrium, the supply and demand curves intersect.

Let's assume that at the equilibrium, the wage is labeled as We and the quantity of labor is labeled as Qe.

Graphically, the supply curve (S) slopes upward from left to right, indicating that higher wages incentivize more workers to enter the labor market. The demand curve (D) slopes downward from left to right, indicating that higher wages result in fewer workers being demanded by firms.

Place the equilibrium point (We, Qe) where the supply and demand curves intersect on the graph.

Impact of a Labor Union:

When a labor union represents workers in the industry, it can negotiate for better wages and working conditions on behalf of its members. This can shift the supply and/or demand curve.

a. Shift in the Supply Curve:

If the labor union successfully negotiates higher wages for its members, it can result in an upward shift of the supply curve. This shift represents an increase in the quantity of labor supplied at each wage level.

Draw a new supply curve (S') above the original supply curve. The new supply curve should intersect the demand curve (D) at a higher wage level (Wu) and a greater quantity of labor (Qu).

b. Shift in the Demand Curve:

If the labor union's demands result in higher production costs for firms, it can lead to a decrease in labor demand. This can cause a leftward shift of the demand curve.

Draw a new demand curve (D') to the left of the original demand curve. The new demand curve should intersect the supply curve (S) at a lower wage level (Wd) and a lower quantity of labor (Qd).

Label the new equilibrium point with a labor union as (Wu, Qu).

Note: The specific shift and its impact (supply or demand) depend on various factors and the specific circumstances of the labor union's actions. The above explanation provides a general example.

By graphically illustrating the changes in the labor market due to the presence of a labor union, you can visually see the impact on the equilibrium wage and quantity of labor.

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Answer:

k = -9

Step-by-step explanation:

4k - 13 = 6k + 5

4k - 6k = 5 + 13

-2k = 18

k = 18 / -2

k = -9

The value of the line integral \(∫C (x^2y^2 dx + xy^3 dy)\)over the triangle with vertices (0,0), (1,3), and (0,3) is 11/8.

To evaluate the line integral\(∫C (x^2y^2 dx + xy^3 dy)\), where C is the triangle with vertices (0,0), (1,3), and (0,3), we can parameterize the three sides of the triangle and perform the integration separately on each side.

Let's denote the three sides of the triangle as C1, C2, and C3.

C1: Line segment from (0,0) to (1,3)

We can parameterize C1 as follows:

x = t

y = 3t

where t varies from 0 to 1.

Substituting these parameterizations into the line integral, we have:

\(∫C1 (x^2y^2 dx + xy^3 dy) = ∫(0 to 1) [(t^2(3t)^2 dt + t(3t)^3 (3 dt)]\)

\(= ∫(0 to 1) (9t^6 + 27t^7) dt\)

C2: Line segment from (1,3) to (0,3)

We can parameterize C2 as follows:

x = 1 - t

y = 3

where t varies from 0 to 1.

Substituting these parameterizations into the line integral, we have:

\(∫C2 (x^2y^2 dx + xy^3 dy) = ∫(0 to 1) [((1 - t)^2(3)^2 (-dt) + (1 - t)(3)^3 (0 dy)]\)

\(= ∫(0 to 1) (9(1 - t)^2 dt)\\\)

C3: Line segment from (0,3) to (0,0)

We can parameterize C3 as follows:

x = 0

y = 3 - 3t

where t varies from 0 to 1.

Substituting these parameterizations into the line integral, we have:

\(∫C3 (x^2y^2 dx + xy^3 dy) = ∫(0 to 1) [(0^2(3 - 3t)^2 (0 dx) + 0(3 - 3t)^3 (-3 dt)]\)

                           = ∫(0 to 1) (0) dt

Since the third integral evaluates to 0, we only need to evaluate the first two integrals.

\(∫(0 to 1) (9t^6 + 27t^7) dt = [t^7 + 3t^8/8] from 0 to 1\)

                        \(= (1^7 + 3(1^8)/8) - (0^7 + 3(0^8)/8)\)

                          = 1 + 3/8

                          = 11/8

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Charlotte spent $26 at the hair salon. She wants to leave a 12% tip. About how much money should she leave?

Remember that

12%=12/100=0.12

Multiply $26 by 0.12 to obtain the tip

so

estimate

0.12-------> 0.10

$26 -----> $30

0.10*30=$3.00

Answer: £3.12

Step-by-step explanation: 2% is 0.52

10% is £2.60, adding 0.52 would then equal £3.12

Answer:

-10n - 60

Step-by-step explanation:

Use the distributive property to simplify [ a(b + c) = ab + ac ]

-10(n + 6)

(-10 * n) + (-10 * 6)

-10n + -60

-10n - 60

Best of Luck!

Answer:

Option (1)

Step-by-step explanation:

To calculate the volume of the given pyramid,

Formula to be used,

Volume = \(\frac{1}{3}(\text{Area of the triangular base)}(\text{Height})\)

Area of the triangular base = \(\frac{1}{2}(\text{Base})(\text{Height})\)

                                             = \(\frac{1}{2}(9)(15)\)

                                             = 67.5 cm²

Now volume of the pyramid = \(\frac{1}{3}(67.5)(32)\)

                                               = 720 cm³

Therefore, Option (1) will be the correct option.

The length of the third side of a triangle with perimeter 9x + 6 and measures of other two sides of the triangle is equal to option a. x + 13.

Perimeter of the triangle is equal to

= 9x + 6

First side of the triangle = 5x

Second side of the triangle = 3x - 7

Let 'n' be the third side of the triangle

perimeter of the triangle = 9x + 6

⇒ 5x + 3x - 7 + n = 9x + 6

⇒ n + 8x - 7 = 9x + 6

⇒ n = 9x -8x + 6 + 7

⇒ n = x + 13

Therefore, the third side of the triangle with given perimeter of the triangle is equal to option a. x + 13.

The above question is incomplete , the complete question is :

A triangle has a perimeter of 9x + 6. the first side of the triangle has a length of 5x, and the second side has a length of 3x − 7. what is the length of the third side of the triangle?

a. x + 13       b. x − 1            c. 8x − 7         d. 17x − 1

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Rounded to two decimal places, the percentage increase per year in the winner's check over this period is approximately 15,332.33%.

To calculate the percentage increase per year in the winner's check over the period from 1895 to 2016, we can use the following formula:

Percentage increase = [(Final value - Initial value) / Initial value] * 100

Initial value: $150

Final value: $2,300,000

Number of years: 2016 - 1895 = 121 years

Percentage increase = [(2,300,000 - 150) / 150] * 100

= (2,299,850 / 150) * 100

= 15,332.33%

Rounded to two decimal places, the percentage increase per year in the winner's check over this period is approximately 15,332.33%.

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