48 students took an arithmetic test. If 36 students passed the test, what percent of students have passed? Show your work using the
scratchpad.
The percentage of the students who passed the test is

For the region above x + 3y = 9 and below x + 9 = y², we have:

a = 18, b = -9, f(x) = (y² - 9)/3, and g(x) = (9 - x)/3.

For single integration: α = -6, β = 3 and h(y) = [(9 - y²)/3 - (y² - 9)].

To solve this problem, we first need to find the intersection points of the two curves x + 3y = 9 and x + 9 = y². We can do this by solving the system of equations:

x + 3y = 9

x + 9 = y²

Rearranging the first equation, we get:

x = 9 - 3y

Substituting this expression for x into the second equation, we get:

9 - 3y + 9 = y²

Simplifying, we get:

y² - 3y - 18 = 0

Factorizing, we get:

(y - 6)(y + 3) = 0

So the solutions are:

y = 6 or y = -3

Substituting these values of y into the equation x + 3y = 9, we get:

When y = 6, x = -9

When y = -3, x = 18

So the intersection points of the two curves are (-9, 6) and (18, -3).

Now we can find the area between the two curves by splitting it into two regions: the region above the curve x + 3y = 9 and below the curve x + 9 = y², and the region below the curve x + 3y = 9 and above the curve x + 9 = y².

For the region above x + 3y = 9 and below x + 9 = y², we have:

a = 18

b = -9

f(x) = (y² - 9)/3

g(x) = (9 - x)/3

Alternatively, to compute the area between the two curves x + 3y = 9 and x + 9 = y² using a single integral, we need to express the area as a function of y instead of x.

We can rearrange the equations x + 3y = 9 and x + 9 = y² to get:

x = 9 - 3y

x = y² - 9

Setting these two expressions equal to each other, we get:

9 - 3y = y² - 9

Simplifying, we get:

y² + 3y - 18 = 0

Factorizing, we get:

(y + 6)(y - 3) = 0

So the solutions are:

y = -6 or y = 3

Substituting these values of y into the equation x + 3y = 9, we get:

When y = -6, x = 27

When y = 3, x = 0

So the intersection points of the two curves are (27, -6) and (0, 3).

The area between the curves can be expressed as the difference between the integrals of the curves' respective functions with respect to y, since the curves are better expressed in terms of y.

The function representing the curve x + 3y = 9 in terms of y is:

x = 9 - 3y

We can rearrange this equation to get:

y = (9 - x)/3

Substituting x = y² - 9, we get:

y = (9 - y² + 9)/3

Simplifying, we get:

y² + 3y - 18 = 0

This is the same equation we obtained before, so we know that the bounds of integration are -6 and 3.

The function representing the curve x + 9 = y² in terms of y is:

x = y² - 9

Substituting this expression into the formula for the area of a region between two curves, we get:

Area = ∫(y=α)^(y=β) [(9 - y²)/3 - (y² - 9)] dy

Where;

α = -6 and β = 3 are the bounds of integration, and

the integrand [(9 - y²)/3 - (y² - 9)] represents the difference between the y-values of the two curves at a given x-value.

Simplifying the integrand, we get:

Area = ∫(y=-6)^(y=3) (18 - 2y²)/3 dy

Integrating, we get:

Area = [(6y - (2/3)y³)/3] |(y=-6)^(y=3)

Plugging in the limits of integration, we get:

Area = [(18 - 216)/3] - [(-36 + 216)/3]

Simplifying, we get:

Area = 66

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The number of people are 72.

Highest Common Factor is the full name for HCF in mathematics.

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.

Least Common Multiple is the full name for LCM in mathematics.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.

Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.

We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:

288 / x² = (16*18) / x² = 288 / x²

Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.

As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.

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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.

To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.

The total area of the cake is:

16 inches x 18 inches = 288 square inches

To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:

√(288 square inches) ≈ 16.97 inches

Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:

Each piece of cake will be approximately 16 inches by 16 inches.

To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:

288 square inches ÷ (16 inches x 16 inches) = 18

Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

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Answer:

All of the above.

Quadrilateral's must have at the maximum 4 equal sides, or the minimum 2 equal sides.

a square has 4 equal sides.

a rectangle has 2 equal side. (that add up to 4 because each side is a pair of 2)

a rhombus can be a quadrlaterial depending on the shape.

a parrellelogram mostly have atleast 2 equal sides.

and a trapezoid mostly has atleast 2 equal sides.

Hope this helps!

Given statement "3-4 If you know the rise and run of a fable roof, you can calculate the rake length and area using slope factors." is true. Because the rise and run of a gable roof allows you to calculate the slope factor, which can then be used to calculate the rake length and area of the roof.

If you know the rise and run of a gable roof, you can calculate the rake length and area using slope factors. The slope factor is a ratio that relates the length of the roof to the height of the roof.

The slope factor is calculated by dividing the rise of the roof by the run of the roof. Once you have the slope factor, you can use it to calculate the rake length and area of the roof.

The rake length is the length of the diagonal edge of the roof, and it can be calculated by multiplying the slope factor by the run of the roof.

For example, if the run of the roof is 10 feet and the slope factor is 0.5 (which corresponds to a 6:12 pitch), then the rake length would be 5 feet (0.5 x 10).

The area of the roof can be calculated by multiplying the rake length by the width of the roof.

For example, if the width of the roof is 20 feet and the rake length is 5 feet, then the area of the roof would be 100 square feet.

Statment is true.

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The range of the function graphed above include the following: D. -∞ ≤ y ≤ 2.

In Mathematics and Geometry, a range can be defined as the set of all real numbers that connects with the elements of a domain.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following range and domain:

Range = {-∞, 2} or -∞ ≤ y ≤ 2.

Domain = {-1, ∞} or -1 < x < ∞.

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The match of the given defines are any measure representing the center of a set of data arranged in a decreasing or increasing order of magnitude is Measure of central tendency, Commonly referred to as the average of all values is Mean, Middle value in the set of data arranged in increasing or decreasing order is Median, Contains two modes is Bimodal, Most frequently occurring score is Mode.

The identified match from the box to the given defines are the mean is the sum of all values divided by the total number of values. The median is the middle value when data is arranged in order.

The mode is the value that appears most frequently in a set of data. Bimodal refers to a distribution that has two modes. Finally, measure of central tendency refers to any method used to represent the center of a set of data.

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--The given question is incomplete, the complete question is given

" identify the following defines. and choose from below box:

mean, mode, median, measure of central tendency, bimodal

1. ) Any measure representing the center of a set of data arranged in a decreasing or increasing order of magnitude.

2. ) Commonly referred to as the average of all values.

3. ) Middle value in the set of data arranged in increasing or decreasing order.

4. ) Contains two modes.

5. ) Most frequently occurring score.

pls answer my grade dropped to 75 last grading pls answer correctly​"--

The GCF of 84 and 36 is 12.

The GCF of two non-zero integers, x(36) and y(84), is the greatest positive integer m(12) that divides both x(36) and y(84) without any remainder.

GCF of 36 and 84 by Listing Common Factors

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

There are 6 common factors of 36 and 84, that are 1, 2, 3, 4, 6, and 12. Therefore, the greatest common factor of 36 and 84 is 12.

Rewrite in the form of a(b + c), a is the greatest common factor of 84 and 36

84/ 12 = 7

36/12 = 3

So, 12(84 + 36)

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According to the given condition, 7 yards is more than 19 feet, To compare different units of measurement, we need to convert them to the same unit.

Multiplication is an arithmetic operation that involves combining two or more numbers to get a product. It is a way of repeatedly adding a number to itself a certain number of times. The number being multiplied is called the multiplicand, while the number of times it is being multiplied is called the multiplier. The result of the multiplication operation is called the product.

To compare 7 yards and 19 feet, we need to convert them to the same unit. Since 1 yard is equal to 3 feet, we can convert yards to feet by multiplying by 3, and we can convert feet to yards by dividing by 3.

In the first answer, we converted 7 yards to feet by multiplying by 3, which gave us 21 feet. Then we compared 21 feet to 19 feet, and found that 21 feet is greater than 19 feet. Therefore, we concluded that 7 yards is more than 19 feet.

In the second answer, we converted 19 feet to yards by dividing by 3, which gave us approximately 6.33 yards (rounded to two decimal places). Then we compared 7 yards to 6.33 yards, and found that 7 yards is greater than 6.33 yards. Therefore, we concluded that 7 yards is more than 19 feet.

Therefore, according to the given condition, 7 yards is more than 19 feet, To compare different units of measurement, we need to convert them to the same unit.

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The answers are:

1) The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. For the given triangles:

Triangle 1: A = (1/2)(2ft)(4ft) = 4 sq ft (for one tablecloth), so for two tablecloths, the total area is 8 sq ft.

Triangle 2: A = (1/2)(6ft)(10ft) = 30 sq ft, so for two tablecloths, the total area is 60 sq ft.

Triangle 3: A = (1/2)(12m)(15m) = 90 sq m, so for two tablecloths, the total area is 180 sq m.

2) The area of a parallelogram is given by the formula A = Bh, where B is the base and h is the height. Rearranging this formula, we get h = A/B. For the given parallelogram:

A = 78 mm2 and B = 13 mm, so h = 78/13 = 6 mm.

3) The area of a rectangle is given by the formula A = LW, where L is the length and W is the width. For Charles' den:

The total wall space to be painted is (2 x 9 x 15) + (2 x 8 x 10) = 342 sq ft. One gallon of paint covers 440 sq ft, so Charles needs (342/440) = 0.7778 gallons of paint. Therefore, he does not have enough paint.

4) To calculate the total area of the walls to be painted, we can calculate the area of each wall and add them together.

The area of the two walls that are 9 ft high and 15 ft long is (9 x 15) = 135 sq ft each, for a total of 270 sq ft. The area of the other two walls that are 8 ft high and 10 ft long is (8 x 10) = 80 sq ft each, for a total of 160 sq ft. Adding them together, we get a total of 430 sq ft.

Since one gallon of paint covers 440 sq ft of wall space, Charles has enough paint to cover the den walls.

5) The area of a trapezoid is given by the formula A = (1/2)(b1 + b2)h, where b1 and b2 are the bases and h is the height. Rearranging this formula, we get h = 2A/(b1 + b2). For the given trapezoids:

A = (1/2)(6ft + 7ft)(10ft) = 65 sq ft and h = 2(65)/(6ft + 7ft) = 5 ft.

A = (1/2)(5yds + 8yds)(4yds) = 26 sq yds and h = 2(26)/(5yds + 8yds) = 2 sq yds.

A = (1/2)(9in + 11in)(13in) = 143.5 sq in and h = 2(143.5)/(9in + 11in) = 13.05 in.

For the application in part (d), we are given A = 32 km2 and (b1 + b2) = 16 km.

Rearranging the formula for A, we get h = 2A/(b1 + b2). Substituting the given values, we get h = 4

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Answer:

B and then A

Step-by-step explanation:

volume is × so the . means times

so it's the only option

and then the second area is

6×3×4= 72cm³

Answer: 7.5

Step-by-step explanation: 2 x 7.5 = 15

The interval between doses should be approximately 10.4 hours to maintain a minimum concentration of 30% of the initial concentration in the body.

The interval between doses of a drug depends on its half-life and the desired minimum concentration in the body. The half-life of a drug is the time it takes for half of the initial dose to be eliminated from the body.

To determine the interval between doses, we can use the following formula

t = (t1/2 × ln(Cmin/Cmax)) / ln(2)

Where:

t1/2 is the half-life of the drug

Cmin is the desired minimum concentration in the body (expressed as a fraction of the initial concentration)

Cmax is the initial concentration of the drug

ln represents the natural logarithm function.

Substituting the given values, we get

t = (6.0h × ln(0.3)) / ln(2)

t ≈ 10.4h

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The given question is incomplete, the complete question is:

A certain drug has a half-life in the body of 6.0h. What should the interval between doses be, if the concentration of drug in the body should not fall below 30.% of its initial concentration?

Answer: Dude adove is WRONGGG

Step-by-step explanation:

ANSWER IS  540

Answer:

  c. 540°

Step-by-step explanation:

You want to know which angle θ has cos(θ) = -1.

The cosine function is periodic with period 360°. The smallest positive angle θ for which cos(θ) is -1 is 180°. The next such angle is ...

  180° +360° = 540° . . . . . choice D

__

Additional comment

A graph of the cosine function is attached. The horizontal axis is in degrees.

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The value of x that makes the equation true is 8

A linear equation is a type of equation that the highest power of it's variable is 1. Example of linear equation include, x+2 =y, x+7/2 =15.

The graph of a linear equation is a straight line and it is represented in form of y = mx+b. Where m is the slope and b is the y intercept.

Solving x-7 = (3/4)x -5

collecting like terms

x-(3/4)x = 7-5

x/4 = 2

x = 8

therefore the value of x that will make the equation x-7 = (3/4)x -5 true is 8.

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The area of this tile is 12 cm2.

Area is a two-dimensional measure of space, referring to the total surface area of a shape. It can be measured in terms of square units, such as square feet, meters, or kilometers. Area is an important concept in geometry and can be used to calculate the perimeter, circumference, and volume of a shape. Area calculations are also used in fields such as engineering, architecture, and construction.

Area is the size of a two-dimensional shape or the amount of space within a three-dimensional figure. It is a measure of how much space an object occupies.

The area of this tile can be calculated using the formula:
Area = Length x Width

In this case, the length of the tile is 6 cm and the width is 2 cm. Therefore, the area of the tile is 12 cm2.

To calculate the area, we multiplied the length and width of the tile. This formula is applicable to all rectangles, as the area of any rectangle is determined by multiplying the length and width.

It is important to note that the units used to measure the length and width must be the same in order to get an accurate area measurement. For example, if the length was measured in inches and the width in centimeters, then the area would be incorrect.

In conclusion, the area of this tile is 12 cm2.

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Answer:

12312

Step-by-step explanation:

add the 11485 to 827 to figure out how many times did the red team do

The exponential function f(x) = 2^x is given by the blue graph on the given graph.

The horizontal asymptote of a function is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

The function in this problem is defined as follows:

y = 2^x.

Two relevant numeric values are given as follows:

Hence the function is represented by the blue graph.

The horizontal asymptote is of y = 0, as when x goes to negative infinity, y goes to zero.

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The symbolic representation of the argument is option B:

An argument in logic can be described as any group of propositions of which one is claimed to follow from the others through deductively valid deductions that preserve truth from the premises to the conclusion. Arguments in logic are typically written in symbolic language.

Considering the given statements:

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Going from top left to right then bottom left to right

Answers:

1st. answer: 94

2nd. answer: 82

3rd. answer: 142

4th answer: 88.2

5th. answer: 130

6th. answer: 178

(also I relearned how to do triangles)

(I'm going to follow you so if you have any more questions I can help)

The best prediction of the number of times Maverick should spin a 4 is 3 times.

Assuming the spinner is fair and unbiased, the best guess for how many times Maverick should spin a 4 is three.

The expected number of times a 4 should appear can be calculated by calculating the probability of spinning a 4 (1/5, or 0.2) by the total number of spins (15):

Expected number of 4's = Probability of spinning a 4 x Total number of spins

Expected number of 4's = 0.2 x 15

Expected number of 4's = 3

Therefore, the best prediction of the number of times Maverick should spin a 4 is 3 times.

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Step-by-step explanation:

16x²-1 = (4x-1)(4x+1)

4x²-9 = (2x+3)(2x-3)

16x²-4 = 4(2x+1)(2x-1)

4x²-1 = (2x+1)(2x-1)

16x²+1 = (4x+i)(4x-i)

Answer:

decision-making

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to know the number of panels and posts needed for a 40 ft fence comprised of 8 ft panels, with a post between panels and at each end of the fence.

The number of panels needed is ...

  (40 ft)/(8 ft/panel) = 40/8 panels = 5 panels

The 5 panels will have 2 ends and 4 spaces, requiring 2 + 4 = 6 posts.

  o ---- o ---- o ---- o ---- o ---- o

The perimeter of the figure is as follows

1. 93 cm

2. 42 cm

3. 45 cm

Perimeter is the total length of the boundary of a two-dimensional shape or figure. In other words, it is the sum of the lengths of all the sides or edges of the shape.

Perimeter is measured in units of length, such as centimeters, meters, or feet, depending on the system of measurement being used.

The perimeter of the figures is solved as follows

1.

= 12 + 15 + 20 + 11 + 7 + 10 + 6 + 12

= 93 cm

2.

= 8 + 12 + 5 + 5 + 12

= 42 cm

3.

= 15 + 15 + 15

= 45 cm

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The total balance in a year after the simple interest is A = P ( 1 + r )

Given data ,

Let the total balance in a year after the simple interest is A

Now , the multiply the initial balance by (1 + r), where r is the annual interest rate as a decimal.

In this case, the interest rate is 7%, or 0.07 as a decimal.

Therefore, Cameron should multiply his current balance by (1 + 0.07) = 1.07 to find his total balance in a year in one step.

For example, if Cameron's current balance is $10,000, his total balance after one year with simple interest would be:

Total balance = $10,000 x 1.07 = $10,700

Hence , the total balance is given by A = P ( 1 + r )

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Answer:

The answer for x is 11

Step-by-step explanation:

x²=144-1

Square root of both sides

√x²=√144-1

x=12-1

x=11

The length of the diagonal from the given shape above would be = 12

To calculate the length of the diagonal from P to Q, the Pythagorean theorem should be used such as;

C² = a² + b²

The Pythagorean theorem states that the the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Therefore;

C = ?

a = 8

b = 9

C² = 8²+9²

C² = 64+81

C² = 145

C = √145

= 12.

Therefore, the length of the diagonal P to Q of the given shape above is 12.

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Therefore, the maximum displacement of the particle is 4 units, and it occurs at time t = 1.

To find the maximum displacement, we need to first determine the particle's velocity and acceleration.

The velocity of the particle is given by the derivative of its position function:

[tex]v(t) = y'(t) = 3t^2 - 12t + 9[/tex]

The acceleration of the particle is given by the derivative of its velocity function: a(t) = v'(t) = 6t - 12

Now, to find the maximum displacement, we need to find the time at which the particle comes to rest.

This occurs when its velocity is zero:

[tex]3t^2 - 12t + 9 = 0[/tex]

Simplifying this equation, we get:

[tex]t^2 - 4t + 3 = 0[/tex]

This quadratic equation factors as:

(t - 1)(t - 3) = 0

So the particle comes to rest at t = 1 or t = 3.

Next, we need to determine whether the particle is at a maximum or minimum at each of these times.

To do this, we look at the sign of the acceleration:

When t = 1, a(1) = 6(1) - 12 = -6, which is negative.

Therefore, the particle is at a maximum at t = 1.

When t = 3, a(3) = 6(3) - 12 = 6, which is positive.

Therefore, the particle is at a minimum at t = 3.

Finally, we need to find the displacement of the particle at each of these times:

[tex]y(1) = 1^3 - 6(1)^2 + 9(1) = 4[/tex]

[tex]y(3) = 3^3 - 6(3)^2 + 9(3) = 0.[/tex]

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The equation is given by y = 2.5x. It means that the cost of each gallon of gas is $2.5

An exponential equation is an expression that shows how numbers and variables using mathematical operators.

Let y represent the cost in dollars for x gallons of gas she puts in the tank

The graph passes through point (0, 0) and (3, 7.5), hence:

y - 0 = [(7.5 - 0) / (3 - 0)](x - 0)

y = 2.5x

The equation is given by y = 2.5x

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