a pizza has a diameter of 20 inches.one slice of the pizza is perfectly cut from the centre at a 360° angle.what is the area of sector of the pizza​

Answer:

25

Step-by-step explanation:

the question basically translates to

160% x n =40  

a little trick with percents I use is that the word "of" always means multiplication.

n=40/160%=25

a.) The area of the floor = 246.5ft²

b.) The amount that it will cost to put down the new floor would be = $2,711.5

C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.

d.) The area of the area rug would be = 388.5ft²

For question a.)

The floor has a rectangular shape. The area of a rectangle = length×width

area of the floor= 17×14.5

= 246.5ft²

For question b.)

For a square foot(1ft²) = $11

246.5ft² = 246.5×11 = $2,711.5

For question c.)

Since the rug will be extended by 2ft at each side, the new dimensions would be:

length = 2+2+17 = 21ft

width = 2+2+14.5 = 18.5ft

For question d.)

The area of the floor with the new dimensions = 21×18.5 = 388.5ft²

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The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

Answer:

11

Step-by-step explanation:

Substituting the values of x, y, and z into the expression, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.

Answer:

11

Step-by-step explanation:

if x = 2, y = 3, and z = 4.

2x²-y + 2(z-1)

Substituting the given values of x, y, and z, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.

BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).

Answer:

a) To solve the differential equation y''-2y'-3y= e^4x, we first find the characteristic equation:

r^2 - 2r - 3 = 0

Factoring, we get:

(r - 3)(r + 1) = 0

So the roots are r = 3 and r = -1.

The general solution to the homogeneous equation y'' - 2y' - 3y = 0 is:

y_h = c1e^3x + c2e^(-x)

To find the particular solution, we use the method of undetermined coefficients. Since e^4x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = Ae^4x

Taking the first and second derivatives of y_p, we get:

y_p' = 4Ae^4x

y_p'' = 16Ae^4x

Substituting these into the original differential equation, we get:

16Ae^4x - 8Ae^4x - 3Ae^4x = e^4x

Simplifying, we get:

5Ae^4x = e^4x

So:

A = 1/5

Therefore, the particular solution is:

y_p = (1/5)*e^4x

The general solution to the non-homogeneous equation is:

y = y_h + y_p

y = c1e^3x + c2e^(-x) + (1/5)*e^4x

b) To solve the differential equation y'' + y' - 2y = 3xe^x, we first find the characteristic equation:

r^2 + r - 2 = 0

Factoring, we get:

(r + 2)(r - 1) = 0

So the roots are r = -2 and r = 1.

The general solution to the homogeneous equation y'' + y' - 2y = 0 is:

y_h = c1e^(-2x) + c2e^x

To find the particular solution, we use the method of undetermined coefficients. Since 3xe^x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = (Ax + B)e^x

Taking the first and second derivatives of y_p, we get:

y_p' = Ae^x + (Ax + B)e^x

y_p'' = 2Ae^x + (Ax + B)e^x

Substituting these into the original differential equation, we get:

2Ae^x + (Ax + B)e^x + Ae^x + (Ax + B)e^x - 2(Ax + B)e^x = 3xe^x

Simplifying, we get:

3Ae^x = 3xe^x

So:

A = 1

Therefore, the particular solution is:

y_p = (x + B)e^x

Taking the derivative of y_p, we get:

y_p' = (x + 2 + B)e^x

Substituting back into the original differential equation, we get:

(x + 2 + B)e^x + (x + B)e^x - 2(x + B)e^x = 3xe^x

Simplifying, we get:

-xe^x - Be^x = 0

So:

B = -x

Therefore, the particular solution is:

y_p = xe^x

The general solution to the non-homogeneous equation is:

y = y_h + y_p

y = c1e^(-2x) + c2e^x + xe^x

c) To solve the differential equation y" - 9y' + 20y = x^2*e^4x, we first find the characteristic equation:

r^2 - 9r + 20 = 0

Factoring, we get:

(r - 5)(r - 4) = 0

So the roots are r = 5 and r = 4.

The general solution to the homogeneous equation y" - 9y' + 20y = 0 is:

y_h = c1e^4x + c2e^5x

To find the particular solution, we use the method of undetermined coefficients. Since x^2*e^4x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = (Ax^2 + Bx + C)e^4x

Taking the first and second derivatives of y_p, we get:

y_p' = (2Ax + B)e^4x + 4Axe^4x

y_p'' = 2Ae^4x +

It should be noted that the number of sample size based on the information will be 300.

In order to calculate the sample size, we can use the following formula:

n = z² * p * (1-p) / E²

n = 1.96² * 0.5 * (1-0.5) / 0.05²

= 300

A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.

In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".

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Answer:

2 *9  + 2*3

Step-by-step explanation:

2 * ( 9+3)

Distribute the 2 to each term

2 *9  + 2*3

Answer:

Step-by-step explanation:

a×(b+c)=a×b+a×c

2×(9+3)=2×9+2×3

There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

Answer:

Part A: y = -5 (x)(x-4)

Part B: 8.75m

Step-by-step explanation:

Part A:

y = a (x-4)(x-5)

y = a(x-0)(x-4)

20 = a(2-0)(2-4)

20 = a (2)(-2)

20/-4 = -4a/-4

a = -5

∴ y = -5 (x)(x-4)

Part B:

y = -5(0.5)(0.5-4)

= 8.75m

~Lenvy~

Answer:

43.68

Step-by-step explanation:

28÷500=0.056

0.056×780=43.68

hope it helps please mark brainlist

Answer:

A slice of a pie weighs 8 ounces. How many pounds do 6 slices of pie weigh?

Answer: 48 pounds

Step-by-step explanation:

Hope this helps :D

The function is positive on the interval (-1, 1)," is the only answer that is accurate. Due to the fact that the function accepts positive values for x between -1 and 0, accepts 0 at x = 0, and then accepts positive values.

When a function is specified at each point along an interval without any gaps, leaps, or interruptions, the interval is said to be continuous for that function.

When we examine the function's graph, we can observe that:

Because the function accepts negative values for x > 1 and positive values for x -1, it does not have a maximum value of 0.

The function does not approach as x approaches. Instead, as x rises, the function alternates between positive and negative values.

There are times when the function increases. Rather, it is rising on the interval (1, ) and falling on the intervals (-, 1). At x = -1, it has a local minimum, while at x = 1, it has a local maximum.

Due to the fact that it accepts negative values for x between -1 and 0, the function is not positive on the range (-1, 1).

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Answer:

Below

Step-by-step explanation:

The equation should read    t = 2000/ (600-w)

   the asymptote will be at w = 600 as this would create a value of zero in the denoiminator....  when the windspeed approaches 600 the time to complete the flight approaches infinity as the windspeed subtracts from the 600 mph plane speed.....then the forward ground speed gets smaler and smaller approaching zero mph.

Age of Steve is 14 years.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Let the age of Kim be x.

Given that,

Steve is 6 years older than Kim.

Age of Steve = x + 6

Also we have that their ages sum total to 22.

So we get an equation,

x + (x + 6) = 22

Solving this, we get,

2x + 6 = 22

2x = 16

x = 16 / 2 = 8

Kim is 8 years old.

Steve is x + 6 = 8 + 6 = 14 years old

Hence Steve is 14 years old.

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Answer: x = ( -3)

Step-by-step explanation:

7 ( x+3 ) = 7x + 21

7x = -21

7x ÷ 7 = -21÷7

X = ( -3)

INFORMATION:

If Q=5000e^0.18t we must find the effective annual yield and the continuous growth rate

STEP BY STEP EXPLANATION:

The annual yield is the return over 1 year:

- Initial investment: To find it, we need to replace t = 0 in the equation for Q

So, the initial investment is 5000

- Value after 1 year: To find it, we need to replace t = 1 in the equation for Q

Therefor the effective annual yield is

Finally, The continuous growth rate is the constant in the exponential so in this case is 0.18 or 18%

ANSWER:

(a) The continuous growth rate is 18%

(b) The effective annual rate is 19.7217%

Answer:

convert the lengths to meters

10dm=1m

1dm=0.1m

hence, firs ribbon

2m+0.1m=2.1m

Second Ribbon

3m and 9dm

convert 9dm into Metres we get 0.9m

hence, 3m+0.9m=3.9m

Third Ribbon

6m+0.4m=6.4m

Given the information, the probability that a response is between the ages of 18 and 29 and 30 or older is, respectively, 0.536 and 0.654. There is a 0.265 percent chance that they will say yes—that global warming will affect them over their lifetime. Concern over global warming also seems to vary across people aged 18 to 29 and those over 30.

Probability is the ratio of favourable events to all other potential outcomes in a circumstance. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability.

Positive Results/Total Results = x/n = Probability (Event)

The likelihood that a respondent between the ages of 18 and 29 believes that there will be no significant threat from global warming in his or her lifetime is:

P (18-29 and no) = 293/(134 + 293 + 117) = 0.536

The likelihood that a respondent who is 30 years of age or older believes that there will be no significant threat from global warming in his or her lifetime is:

P (30+ and no) = 432/(131 + 432 + 178) = 0.654

The likelihood that a randomly chosen respondent will select "yes"—that is, that they will experience the effects of global warming throughout their lifetimes—is:

P(Yes) = (134 + 131)/(134 + 131 + 293 + 432 + 117 + 178) = 0.265

Yeah, it does seem that younger people (18–29) are less concerned about global warming than older people (30+). In comparison to respondents aged 18 to 29, the likelihood that a respondent aged 30 or older believes that global warming will not constitute a severe hazard during their lifetime is higher (0.654). (0.536). According to this, respondents who are older are less concerned about global warming than respondents who are younger. To confirm this difference, a formal statistical test would be required.

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The complete question is:

Do you think global warming will have an impact on you during your lifetime? A CBS News/New York Times poll of 1000 adults in the United States asked this ques- tion (CBS News website, December, 2014). Consider the responses by age groups shown below Response Age 18-29 30+Yes 134 131No 293 432Unsure a. What is the probability that a respondent 18-29 years of age thinks that global warming will not pose a serious threat during his/her lifetime?b. What is the probability that a respondent 30+ years of age thinks that global warming will not pose a serious threat during his/her lifetime? c. For a randomly selected respondent, what is the probability that a respondent answers yes? d. Based on the survey results, does there appear to be a difference between ages 18-29 and 30+ regarding concern over global warming?

The area of each triangle to the nearest square inch is approximately 95 square inches.

A triangle is a 2-dimensional geometric shape that consists of three straight sides and three angles. It is one of the basic shapes in geometry, and it is widely used in various fields such as mathematics, engineering, architecture, and art.

To find the area of an equilateral triangle with a radius of 12.7 inches, we can use the formula:

Area = \((\sqrt{(3)/4})\) x \((side)^2\)

where side is the length of one of the sides of the equilateral triangle.

We know that the radius of the equilateral triangle is 12.7 inches, which means that the distance from the center of the triangle to one of the corners (i.e., the length of one of the sides) is also 12.7 inches. To find the length of the side, we can use the formula for the height of an equilateral triangle:

and solve for side:

side = Height / (\(\sqrt{(3)/2\)) = (2 x Height) / \(\sqrt{(3)\)

Plugging in the value of the radius, we have:

side = (2 x 12.7 inches) / \(\sqrt{(3)\) ≈ 14.67 inches

Now we can use the formula for the area of an equilateral triangle:

Area = (\(\sqrt{(3)/4}\)) x \((side)^2\)

Plugging in the value of the side, we have:

Area = (\(\sqrt{(3)/4\)) x \((14.67 inches)^2\) ≈ 94.71 square inches

Therefore, the area of each triangle to the nearest square inch is approximately 95 square inches.

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A sequence of transformations that maps △ABC to △A′B′C′ is a rotation of 90° counterclockwise about the origin followed by a translation 2 units right.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation

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A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.

The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.

Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

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Answer:

z ∈ { 12, + ∞ >

Alternate form: z ≥ 12, { z l z ≥ 12 }

Step-by-step explanation:

1- Determine the defined range

2- Factor the expression

3- Simplify the root

4- Move the variable to the left

5- Separate into possible cases

6- Solve

7- Find the intersections

8- Find the union

Answer: Z ≤ 12

The correct answer is "Z is less than or equal to 12", Z ≤ 12.

Step-by-step explanation:

Hope this helps.

Answer:

2x

Step-by-step explanation:

5, 10, 20, 40, 80

each step is multiplying by 2, therefore the sequence is 2x

Answer:

1            2                  3             4            5       6

2 ÷ 15   1 ÷ 6           1 ÷ 6        1 ÷ 6     1 ÷ 6    1 ÷ 5

Step-by-step explanation:

As it is mentioned in the question that the probability of faces like 2,3,4,5 are not affected so in this case

P(2) = P(3) = P(4) = P(5) = 1 ÷ 6

And,  P(6) = 0.2

As we know that

P(1) + P(2) +P(3) +P(4) +P(5) +P(6) = 1

This results P(1) = 2 ÷ 15

So,

1            2                  3             4            5       6

2 ÷ 15   1 ÷ 6           1 ÷ 6        1 ÷ 6     1 ÷ 6    1 ÷ 5

Hence, the correct option is 2nd

Answer:

forty one thousand, two hundred eleven written in numeric form is 41,211

Step-by-step explanation:

i'm assuming this is what you were asking; good luck

To solve the problem we need to use the next given equation:

If the population will exceed 2282. Then p(x)= 2282.

Solve for t:

Now, we need to take logarithms:

Where ln*e = 1.Then:

Hence, the population will exceed 2282 when t=7.100

Answer:

The last graph at the bottom.

Step-by-step explanation:

Answer:

the very last one btw.

Step-by-step explanation:

The factored versions of the expressions are:

Factorization is the process of breaking down a mathematical expression into simpler components. It is useful in simplifying algebraic expressions, solving equations, and understanding the behavior of mathematical functions.

Let's consider the first problem: x² - 9. We can observe that this expression can be written as the difference of two squares: x ² - 3².

Using the formula for the difference of squares, we can factor this expression as (x + 3)(x - 3).

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Answer:

  C, D

Step-by-step explanation:

The equation for the x-coordinate will have the x-coordinate of the midpoint (-1/2) on the left side of an equation involving x2. Choice C applies.

The equation for the y-coordinate will have the y-coordinate of the midpoint (-1) on the left side of an equation involving y2. Choice D applies.

_____

Additional comment

When you solve the equation

  M = (P +Q)/2

for P, you find that ...

  P = 2M -Q . . . . . . . . our favorite way to find the other end point

or ...

  x2 = 2(-1/2) -3 = -4

  y2 = 2(-1) -(-5) = 3

The coordinates of P are (-4, 3).

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ Q(\stackrel{x_1}{3}~,~\stackrel{y_1}{-5})\qquad P(\stackrel{x_2}{x_2}~,~\stackrel{y_2}{y_2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x_2 + 3}{2}~~~ ,~~~ \cfrac{ y_2 -5}{2} \right)~~ = ~~\stackrel{\textit{\Large Midpoint}}{\left(-\cfrac{1}{2}~~,~~-1 \right)} \\\\[-0.35em] ~\dotfill\)

\(\cfrac{ x_2 + 3}{2}~~ = ~~-\cfrac{1}{2}\implies \boxed{-\cfrac{1}{2}=\cfrac{ 3+x_2 }{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y_2 -5}{2}~~ = ~~-1\implies \boxed{-1=\cfrac{-5+y_2}{2}}\)