Mrs. Bell can grade 12 papers in 20 minutes. At this
rate, how many papers can she grade in one hour?

Answer:

0.60 or 0.6

Step-by-step explanation:

To convert you devide the two 6/10 is 0.6

0.6 is a decimal that is equivalent to the fraction 6/10

A number system is defined as a system of writing to express numbers.

A fraction represents a part of a whole.

The given fraction is 6/10.

The fraction is six by ten

In the given fraction is six and denominator is ten.

We need to convert 6/10 to the decimal which is equivalent.

10 is the divisor and 6 is the dividend.

6/10=0.60

Six by ten equal to  zero point six

Hence, 0.6 is a decimal that is equivalent to the fraction 6/10

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We have to find the equation of a line with a slope m=-1 and pass through the point (3,5).

Then we will check if it goes through the point (-2,7).

We can write the line equation in slope-point form:

Then, it becomes:

The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.

To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.

If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.

However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.

Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.

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The dimensions of the sign, in feet, are 5 ft x 11.25 ft. The area of the sign, in square feet, is 56.25 sq ft.

Part a: To find the dimensions of the sign in feet, we need to first convert the dimensions of the original design from inches to feet.

Width of design = 4 in ÷ 12 in/ft = 1/3 ft

Length of design = 9 in ÷ 12 in/ft = 0.75 ft

Next, we need to multiply these dimensions by the scale factor of 15 to get the dimensions of the sign:

Width of sign = 1/3 ft x 15 = 5 ft

Length of sign = 0.75 ft x 15 = 11.25 ft

Therefore, the dimensions of the sign, in feet, are 5 ft x 11.25 ft.

Part b: To find the area of the sign in square feet, we simply multiply the width by the length:

Area of sign = 5 ft x 11.25 ft = 56.25 sq ft

Therefore, the area of the sign, in square feet, is 56.25 sq ft.

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Answer:

m = -15/29

Step-by-step explanation:

1) Distribute

\(\frac{m}{5} =6m+3\)

2) Subtract 6m from both sides of the equation

\(\frac{m}{5} -6m=6m+3-6m\)

3) Simplify

a. Find common denominator

\(\frac{m}{5} +\frac{5(-6)m}{5} =6m+3-6m\)

b. Combine fractions with common denominator

\(\frac{m+5(-6)m}{5} =6m+3-6m\)

c. Multiply the numbers

\(\frac{m-30m}{5} =6m+3-6m\)

d. Combine like terms

\(\frac{-29m}{5} =6m+3-6m\)

e. Combine like terms

\(\frac{-29m}{5} =3\)

4) Multiply all terms by the same value to eliminate fraction denominators

\(5 *\frac{-29m}{5} =5*3\)

5) Cancel multiplied terms that are in the denominator

\(-29m=5*3\)

6) Multiply the numbers

\(-29m=15\)

7) Divide both sides of the equation by the same term

\(\frac{-29m}{29} =\frac{15}{-29}\)

8) Simplify

a. Cancel terms that are in both the numerator and denominator

\(m=\frac{15}{-29}\)

b. Divide the numbers

\(m=-\frac{15}{29}\)

Answer: for part c the gas would not remain a liquid.

Step-by-step explanation: Because as stated, the tempature dropped to -49 degrees farhenheit, and for instance, oxygen, a gas, becomes a liquid if you cool it down to - 297 degrees Fahrenheit (really, REALLY cold) and if you cool it down further to -362 degrees Fahrenheit it becomes a solid, so therefore it definetly couldnt stay a liquid if the temp raised so high. it would seconense back.

i do not know if this is correct but i did try so i am deeply sorry if this fails.

Lillian (2) is correct. Lillian's cube has a side length closer to 8 inches, Lillian's estimation is more accurate.

The volume of a cube is calculated by raising the length of its side to the power of 3. Since the volume of the cube is given as 415 cubic inches, we can find the length of each side by taking the cubic root of 415.

Let's calculate the lengths for both Elizabeth's and Lillian's cubes:

For Elizabeth's cube: cubic root of 415 ≈ 7.8427 inches

For Lillian's cube: cubic root of 415 ≈ 7.9496 inches

Since Elizabeth's cube has a side length closer to 7 inches, and Lillian's cube has a side length closer to 8 inches, Lillian's estimation is more accurate.

Therefore, Lillian (2) is correct in this scenario.

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The length of one side of the cube is approximately 7.47 inches, so it's closer to 7 inches than 8 inches. Therefore, Elizabeth is correct.

The volume of a cube is calculated as the cube of the length of its sides (Side3). Given that the volume is 415 cubic inches, we need to find the cube root of this volume to determine the side length. The cube root of 415 is approximately 7.47 inches. So, the length of the side of the cube is closer to 7 inches than to 8 inches. Therefore, Elizabeth is correct.

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Amplitude of f  -\(x^{2}\)+100x - 1200 is 350.

To find the amplitude of a periodic function, we need to find the maximum and minimum values of the function over one period and then take half of their difference.

In this case, the function f(x) is given by:

f(x) = -\(x^{2}\) + 100x - 1200, 0 ≤ x ≤ 100

To find the maximum and minimum values of f(x) over one period, we can use calculus by taking the derivative of f(x) and setting it equal to zero:

f'(x) = -2x + 100

-2x + 100 = 0

x = 50

So the maximum and minimum values of f(x) occur at x = 0, 50, and 100. We can evaluate f(x) at these values to find the maximum and minimum values:

f(0) = -\(0^{2}\) + 100(0) - 1200 = -1200

f(50) = -\(50^{2}\) + 100(50) - 1200 = -500

f(100) = -\(100^{2}\) + 100(100) - 1200 = -1200

Therefore, the maximum value of f(x) over one period is -500 and the minimum value is -1200. The amplitude is half of the difference between these values:

Amplitude = (Max - Min)/2 = (-500 - (-1200))/2 = 350

Therefore, the amplitude of f(x) is 350.

Correct Question :

suppose that f is a periodic function with period 100 where f(x) = -\(x^{2}\)+100x - 1200 whenever 0 ≤x≤100. what is amplitude of f.

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Using the digits 7,8 and 9, the positive seven-digit integers can be made that are palindromes are 729.

When constructing a seven-digit palindrome out of the digits 7, 8, and 9, the first three digits must be the same as the last three digits in reverse order.

This means that each of the first three digits can be either a 7, 8, or 9. Therefore, the total number of combinations for the first three digits is 3 x 3 x 3 = 27.

Since the last three digits must match the first three, the total number of possible combinations of integers is 27 x 27 = 729.

Thus, the total number of positive seven-digit palindromes that can be created using the digits 7, 8 and 9 is 729.

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The required, Mmusi borrowed R3000 from Aggie as per the given conditions.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan.

Amount = Principal [1 + rate×time]

Let's call the amount Mmusi borrowed from Aggie "P".

After two years, he has to pay back
= P + P * 18% * 2
= P + 0.18 * P * 2
= P + 0.36P
= 1.36P

So if he has to pay back R4080, we can set up an equation to solve for P:

1.36P = 4080

To find P, we can divide both sides by 1.36:

P = 4080 / 1.36 = 3000

So Mmusi borrowed R3000 from Aggie.

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Three cards are drawn from a standard deck. Thus, the probability to get an ace, followed by a king, and then a queen, is  16/34,425

The formula for conditional probability is:

P(A∩B) = P(B|A) . P(A)

In the given problem:

P(ace) = 4 / 54

After an ace was drawn, the number of cards now is 51.

Hence,

P(king | ace) = 4/51

After the second drawn, the remaining cards is 50. Hence,

P(queen | (king | ace)) = 4/50

Therefore,

P(ace,king,queen) = 4/54 x 4/51 x 4/50 = 64 / 137,700 = 16/34,425

Thus, the probability to get an ace, followed by a king, and then a queen, is  16/34,425

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Answer:

B

because if yiy multiple all those you get somewhere around 390 and then you round the number it is 390

Kelly gets 38.59 miles per gallon of gasoline

Miles drove by Kelly = 238 miles

Gasoline used by the car = 6 1/6 gallons

Gasoline used in the car in improper fraction = 37/6 gallons

Average fuel economy: Average fuel economy of a car gives the distance covered by the car in one gallon of gasoline. This is an important factor to consider while buying or using a car as it is a major source of expenditure for the car.

To calculate miles per gallon we use the following formula:

Miles per gallon = Miles driven/ Gasoline used in the car

= 238/(37/6)

= 238*6/37

= 38.59

Miles per gallon = 38.59

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Answer:

interesting

you play cod

I don't believe it

The total number of SUVs sold = 195

and the total number of passenger cars were sold = 115

For given question,

Let x be the total number of SUVs and y be the total number of passenger cars sold.

For a recent year,80 more SUVs were sold than passenger cars.

So we get an equation,

x = y + 80                .............(1)

A total of 310 vehicles were sold.

So we get an equation,

x + y = 310              .............(2)

Substitute the value of x from (1) in an equation (2),

(y + 80) + y = 310  

2y + 80 = 310

2y = 230

y = 115

This means, total 115 passenger cars were sold.

Substitute the above value of in equation (1),

x = 115 + 80

x = 195

This means, total 195 SUVs were sold.

Therefore, the total number of SUVs sold = 195

and the total number of passenger cars were sold = 115

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Answer:

24.5 gallons of milk

Step-by-step explanation:

To calculate the total amount of milk needed daily, we need to find the total amount of milk consumed by all the students and convert it into gallons.

For grades 1 through 3, the total amount of milk consumed daily at lunch is:

12 fl. oz. x 212 students = 2,544 fl. oz.

For breakfast:

6 fl. oz. x 48 students = 288 fl. oz.

For kindergarten snack time:

8 fl. oz. x 38 students = 304 fl. oz.

Adding up all these amounts gives us the total amount of milk consumed daily:

2,544 fl. oz. + 288 fl. oz. + 304 fl. oz. = 3,136 fl. oz.

To convert this to gallons, we need to divide by 128 (the number of fluid ounces in a gallon):

3,136 fl. oz. ÷ 128 = 24.5 gallons (rounded to the nearest tenth)

Therefore, Chef needs approximately 24.5 gallons of milk daily to serve all the students.

The expression be 1/4(c³+ d²) then the value exists 9.

The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical equation. Using the acronym PEMDAS, we can memorize this order: parentheses, exponents, multiplication and division (left to right), addition and subtraction (from left to right).

The rules that specify the order in which we should perform several operations to solve an expression are known as the order of operations.

Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction are in the following order: PEMDAS (from left to right).

Let the given expression be 1/4(c³+ d²)

The value of c = -4 and d = 10

substitute the values in the above equation, we get

Follow the PEMDAS order of operations

Calculate within parentheses  ((-4)³ + (10)²) = 36

1/4((-4)³ + (10)²)

simplifying the above equation, we get

= 1/4 × 36

= 9

Therefore, the correct answer is option B. 9.

The complete question is:

What is the value of this expression when c = -4 and d = 10?

1/4(c³+ d²)

A. 2

B. 9

C. 21

D. 41

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The choose C. –2/15

(-2/15) +(-13/5) =(-13/5) +a/b

a/b = (-2/15)+(-13/5) - (-13/5)

a/b = (-2/15) - ( 39/15) +(39/15)

a/b = –2/15

I hope I helped you ^_^

Answer: option 3: a/b = (-2/15)

Step-by-step explanation:

See here when we solve this

(-2/15)+(-13/5) = (-13/5)+a/b

(-2/15) = (-13/5)+a/b-(-3/15)

(-2/15) = a/b

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In inferential statistics, the objective is to determine the probability of the alternative hypothesis being true or the null hypothesis being true.

This involves using sample data to make inferences and draw conclusions about a larger population. By analyzing the data and performing statistical tests, we assess the likelihood of the alternative hypothesis or the null hypothesis being accurate.

The alternative hypothesis represents a claim or statement that contradicts the null hypothesis and suggests that there is a significant relationship or difference between variables. To determine its probability, statistical methods such as hypothesis testing and p-values are employed. These methods evaluate the strength of evidence against the null hypothesis and support the alternative hypothesis when the evidence is substantial.

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In order to compute eigenvalues of symmetric matrices, Householder reflections are indeed used to transform the matrix into a tridiagonal form.

This is an important step because it simplifies the computation and takes advantage of the inherent properties of symmetric matrices.

However, Householder reflections alone cannot fully diagonalize the matrix. After obtaining the tridiagonal matrix using Householder reflections, other numerical methods, such as the QR algorithm or the Lanczos method, are required to perform the diagonalization. These methods iteratively transform the tridiagonal matrix into an even more simplified form, ultimately converging to a diagonal matrix.

The reason Householder reflections cannot fully diagonalize the matrix is because they are primarily designed to introduce zeros below the main diagonal, without altering the eigenvalues. The method aims to maintain orthogonality during the process, preserving the properties of symmetric matrices.

To complete the diagonalization, further iterative methods are necessary to isolate the eigenvalues along the main diagonal of the matrix.

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Answer:

y = -3

Step-by-step explanation:

Left and down are there for you to subtract and right and up are there for you to add.

Since you would need to get the y-coorindate, you would need to subtract 8 from 5 to get to -3.

Answer:

-3

Step-by-step explanation:

Hope it helps.

Answer:

Your answers are the first option, your third option, and your last option. I just finished taking the quiz. I hope this helps!

Step-by-step explanation:

Example

A quadratic equation is a second order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

Answer:

5.7

Step-by-step explanation:

9^2=x^2+7^2

Solving for x we get 81 - 49 which is 32.

The square root of 32 rounds to 5.7

The equation of an arch for the given parabolic cross section is

y =  -2x² and its height is equal to 50 feet.

As given in the question,

Vertex of the parabola ( h , k ) = (0 , 0)

Focus is 0.5 foot below the given vertex.

Distance between focus and vertex 'a' = - 0.5

Standard equation of the parabola is given by:

( y - k ) = 4a ( x - h)²

Substitute the values we get,

( y - 0 ) = 4× (-0.5) ( x - 0)²

⇒ y = -2x²

Equation to represent the cross section of the given arch is

y = -2x²

Arch is 10 feet wide at ground level

⇒ x = 5 feet

Height of the arch is '( 0 - y)'

⇒ ( 0- y ) = 0 - 2(5)²

      = 50 feet

Therefore , the equation and height of the arch for the given parabolic cross section is equal to y =  -2x² and 50 feet respectively.

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Answer:

the GCF is 5y and the factored form is 5y(2y^4 + 6y^2 - 3).

Step-by-step explanation:

The greatest common factor (GCF) of the terms 10y^5, 30y^3, and -15y is 5y.

To factor out the GCF, we can divide each term by 5y:

10y^5 / (5y) = 2y^4

30y^3 / (5y) = 6y^2

-15y / (5y) = -3

So we have:

10y^5 + 30y^3 - 15y = 5y(2y^4 + 6y^2 - 3)

Therefore, the GCF is 5y and the factored form is 5y(2y^4 + 6y^2 - 3).

Answer: GCF=5

Factored form= 5y(2y^4+6y^2-3

Step-by-step explanation:

Answer:

Find the value of the variable and yz if Y is between X and z. = XY = 4n + 3, YZ = 2n - 7, XZ = 22

5.0

0

1

Draw a figure representing the information given.

2

Set the expression for XY plus the expression for YZ equal to the expression for XZ and solve.

3

Combine like terms.

4

Add 4 to both sides.

5

Divide both sides by 6.

6

YZ= 2(13/3)-7=(26/3)-7=(26/3)-(21/3)=5/3

Elena and Marc both drive the same number of miles per year in their respective vehicles, hence the mileage will never be the same.

Elena's mileage = 9000

She drives 22000 miles each year.

So mileage each year will form an arithmetic progression.

9000, 31000 , 53000, 75000 ....

Marc's mileage = 22000

he drives 22000 miles each year

So mileage each year will form an arithmetic progression.

22000 , 44000 ,66000, 88000 ...

Hence we can see that the mileage of both the cars will never be equal.

In an arithmetic progression (AP) sequence of numbers, the difference between these two consecutive integers is always the same. It is also known as an arithmetic sequence.

For instance, a progression in arithmetic is the natural number series 1, 2, 3, 4, 5, 6,... Between two succeeding terms, let's say 1 and 2, it has a common difference of 1. (2 -1). We can see that in both the case of odd and even integers, the common differences between two succeeding words will equal 2.

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