Identify the fraction as proper, improper, or mixed . (If the fraction is equivalent to 1, choose "one" in the blank.)

Answer:

Area of each slice of pizza is 28.27 square inches.

Step-by-step explanation:

The formula calculating the area of circle is

A = π[tex]r^{2}[/tex] where r is radius ( half of the diameter )

A = [tex](12)^{2}[/tex]

A = 452.38934 [tex]inches^{2}[/tex]

pizza cut into 16 equal slices

Therefore 452.38934 ÷ 16 = 28.27433 [tex]inches^{2}[/tex]

So the total area of the pizza is 452.39 square inches and the area of each slices are 28.27 square inches approximately.

Answer:

About 28 in ^2

Step-by-step explanation:

Answer:

Integers between (-∞, 4)

Step-by-step explanation:

Negative Integer is integers whose value is less than 0 i.e. -1, -2, -3, -4,.... so on.

The expression x - 4 will be negative if x is less than 4.

For Example, if we take integers greater than 4 or equal to 4 as the value of x then,

5 - 4 = +1 which is not a negative integer

4 - 4 = 0 which is again not a negative integer.

But, if we take x as less than 4 then we get,

2 - 4 = -2 i.e. negative integer

-3 - 4 = -7 i.e. also negative integer.

So, for all value of x which is less than 4, we will get a negative integer.

The solution to the given expression is x = 31.

In order to simplify an expression with exponents of the same base, we would have to apply the properties of multiplication of exponents with the same base;

[tex](k^m)\cdot(k^{n})=k^{m+n}[/tex]

Based on the properties of roots of exponents, we have the following:

[tex]\sqrt[a]{x^b} =x^{\frac{b}{a} }[/tex]

By raising both sides of the given expression to the reciprocal of the exponent, we have:

[tex](x-4)^{\frac{2}{3} }=9\\\\((x-4)^{\frac{2}{3} })^{\frac{3}{2} }=9^{\frac{3}{2} }\\\\x-4=(9^{\frac{1}{2} })^{3 }\\\\x-4=(3)^{3 }\\\\[/tex]

x - 4 = 27

x = 27 + 4

x = 31

2a-9 +a = 90 degrees

3a -9 = 90

3a = 99

a = 33

angle GEF is 33 degrees

|X+4|=4

x = 4-4 = 0

|X+4|=-4 no solution since the lines are absolute value which would be a positive number

If f(x)= 3x - 1 and g(x) = x+2, (f +g)(x) is 4x+1.

(3x-1)+(x+2)

=3x+x-1+2

=4x+1.

A function operation guidelines that are accompanied as a way to remedy functions. Learn the definition of a feature operation such as the guidelines for addition, subtraction, multiplication, and division.

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The total ticket cost for Mr. Delong's drama class to attend Mozart's opera Don Giovanni, with 23 students and 2 teachers at $39 per ticket, is $975.

To calculate the total ticket cost for Mr. Delong's drama class field trip to see Mozart's opera Don Giovanni, we need to combine the number of students and teachers going to find out how many tickets in total need to be purchased. There are 23 students and 2 teachers, so that's a total of 25 people needing tickets. The cost per ticket is $39.

The expression to find the total ticket cost is (Number of Students + Number of Teachers) x Cost per Ticket, which translates to (23 + 2) x $39.

Doing the math: (25) x $39 = $975.

Therefore, the group's total ticket cost for attending the opera will be $975.

Answer:

5 offices had fewer than 5 desks

Step-by-step explanation:

Clearly from the scatter plot we could see that 5 offices have lesser than 5 desks.

The number of desks are represented by the horizontal axis and the number of computers are represented by the vertical axis.

so by looking at the scatter plot we could see that the five points are before 5 on the horizontal axis i.e. we have to count all those points such that the desk are less than 5 i.e. ( when the desks are 0,1,2,3 and 4).

Finding the equation of the line, it is found that the value of b is -1.

----------------------------

The equation of a line is given by:

[tex]y = mx + b[/tex]

In which:

----------------------------

[tex]y = -2x + b[/tex]

[tex]-3 = -2(1) + b[/tex]

[tex]b = -3 + 2 = -1[/tex]

The value of b is -1.

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By substituting the values x=2 and y=4 into the given equation, we get a result of 70 which does not match with any of the provided options.

The value of the expression 4x + y-2y−x when x = 2 and y = 4 can be determined by substituting these values into the expression. By doing so, we get:

4 * 2 + 4^2 * 4 - 2 = 8 + 64 - 2 = 70

So, the correct value is 70, which is not present in the provided options (a. 2 b. 3 c.4 d.6). Maybe there is a misunderstanding or typo in the question or options. The way it's presented right now, the correct answer would be none of the above.

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Answer:

In PLATO the answer is B

Step-by-step explanation:

Notice that all of the values start high at 0 and gradually get lower until 8

Answer: took the test

Step-by-step explanation:

To solve the system of equations by substitution, substitute the value of y from the second equation into the first equation. The solution is x = 1/2 and y = 5/2 or 2.5.

To solve the system of equations by substitution, we substitute the value of y from the second equation into the first equation.

Given that y = 5x, we can substitute this value into the first equation:

4x + 2(5x) = 7

Simplifying the equation:

4x + 10x = 7

Combine like terms:

14x = 7

Divide both sides by 14:

x = 7/14

Simplify:

x = 1/2

Now substitute this value of x back into the second equation to find y:

y = 5(1/2)

Simplify:

y = 5/2 or y = 2.5

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x + y = 50 

Q = x * y 

Combining the two:
Q = x * (50 - x) 
Q = 50x - x^2 
Q = -x^2 + 50x 
Q = -(x^2 - 50x) 
Q = -(x^2 - 2 * 25x + 25^2 - 25^2) 
Q = 25^2 - (x - 25)^2 
Q = 625 - (x - 25)^2 

So what we got is an equation for parabola with a vertex at (25 , 625) and it opens downward. We know that parabolas only have one critical value, so if x and y are unrestricted, then there's no minimum product.

No, there cannot be a minimum product. The product of two numbers is maximized when the numbers are equal or close to each other.

The student is asking if there can be a minimum product when x and y are numbers whose sum is 50 and we are trying to maximize the product xy. The answer is no, there cannot be a minimum product. This is because the product of two numbers is maximized when the numbers are equal or close to each other. In this case, when x = 25 and y = 25, the product xy is maximized at 625. If x and y were further apart, the product would be smaller.

Thus,

Q = x * (50 - x)

Q = 50x - x^2

Q = -x^2 + 50x

Q = -(x^2 - 50x)

Q = -(x^2 - 2 * 25x + 25^2 - 25^2)

Q = 25^2 - (x - 25)^2

Q = 625 - (x - 25)^2

Final answer:

Explanation of summation notation using examples and patterns for different expressions.

Explanation:

Summation notation:

First sum: The sum is calculated using the formula: Σ(-8 + 5n) from n = 0 to 15.

Second sum: The sum can be expressed as Σ(-40n) from n = 0 to ∞ (infinity).

Third sum: The sum is Σ(-40n) from n = 0 to 15.

Fourth sum: The sum is given by Σ(-8 + 5n) from n = 0 to ∞.

Answer:

Its the first gragh

Step-by-step explanation:

Graph D is a correct choice.

We have a set of inequalities -

y > − 2x − 2

y ≤ x + 4

We have select the graph that represents the solution set of the system of inequalities.

An inequality compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.

According to the question, we have -

Let →   y = -2x - 2

Now, plot the graph of the line → y = - 2x - 2 with a Dotted line ( > is a strict inequality).

Assume a point (0,0) -

0 > - 2 x 0 - 2

0 > -2

Which is true, hence shade the area where the point (0, 0) lies.

Let →   y = x + 4

Now, plot the graph of the line → y = x + 4 on the graph.

Assume a point (0,0) -

0 ≤ 0 + 4

0 ≤ 4

Which is true, hence shade the area where the point (0, 0) lies.

Refer to the image attached for final graph - the area under the Red thick line is common to both and is the solution set of  system of inequalities.

Hence, Graph D is a correct choice.

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Answer:   Domain=   0[tex]\leq[/tex]x[tex]\leq[/tex]20

                Range=  2.8[tex]\leq[/tex]y[tex]\leq[/tex]72.8

Step-by-step explanation:

CREDIT:ANSWER ABOVE ME,HOPE THIS HELPS. Burrgh

89/3 = 63

63-2 = 61

63 +2 = 65

61 +63 +65 = 189