Gary’s family has 20 slices of pizza for dinner. His sister took 1/10 of the slices, his brother ate 25% of the slices, and his parents ate 2/5 of the pieces. How many pieces were left for Gary to eat

Answer: James is 23. Tom is 21. Sharon is 26

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Given that,

f(x) = 2x² - 3x + 7

To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.

Let us solve it now.

f(2.5) = 2(2.5)² - 3×2.5 + 7

f(2.5) = 12.5 - 7.5 + 7

f(2.5) = 12

Answer:

\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)

Answer:

(4, 7)

Step-by-step explanation:

The minimum value of y happens when (x - 4)^2 is at its lowest. The lowest value of (x - 4)^2 is 0, which occurs at x = 4.

Answer: (4, 7)

Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.

In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.

For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.

To find the image of point E under this translation, you can apply the same translation to point E:

Point E is located at (5, 5).

The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).

You can follow the same process to find the images of the other points under the translation.

Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.

In this case, the translation vector is given by the displacement from point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).

To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:

Point E is located at (5, 5).

The translation vector is (-8, -7).

The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).

You can follow the same process to find the images of the other points under the translation.

Step-by-step explanation:

P(success I at least 60 years old) = 0.125.

The possibility of an event in time is known as a probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?

Given:

Over 1000 people try to climb mt Everest every year.

Of those who try to climb Everest, 31 percent succeed.

The probability that a climber is at least 60 years old is 0.04.

The probability that a climber is at least 60 years old and succeeds in climbing Everest is 0.005.

P(success I at least 60 years old) = 0.005/0.04 = 0.125

Therefore, the probability is 0.125.

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The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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Answer:

To make mistakes and learn more.

Step-by-step explanation:

Because, the only way to learn math is to make mistakes, its okay to make mistakes!

Answer:

i use math in my everyday life to calculate calories for my diet.

Step-by-step explanation:

Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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Dy/dx = (dy/dt)/(dx/dt) denotes the slope of the tangent line of a parametric curve whose parametric equations are x = /(t) and y = g(t). Wherever dy/dt is zero and dx/dt is zero, a parametric curve has a horizontal tangent.

The x and y coordinates are defined as functions of t when parametric form is used to represent angles: Plot the entire circle by using the equations x = r cos t and y = r sin t. Polar equations are the name given to these parametric equations.

The given x=1+12+ dx=dt 0+12(1) =12

Parametric y Curve is as follows: ts-t dy 5t-1 dt z = ts+t dz dt 5t +1 (dz, dy, dz) = (12, 5t-1, St+1) dt 7 dt dt x = 13 =) When, 1+12 t = 13 12

(x(t), y(t), and z(t)) = (13,0,2) + + (12, 4, 6) x(t), y(t), and 2(t)) = (13+12t, ut, 2+ 6+) x(t) = 13+12t, y(t) = ut, 2(t).

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Full Question = Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

x = 1 + 12 t , y = t5 − t, z = t5 + t; (13, 0, 2)

x(t), y(t), z(t) =

Answer:

80 books = $400

Step-by-step explanation:

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

3.78*2=7.56

7.38*4=29.52

29.52+7.56=37.08

220-37.08=182.92

Answer:

Statement A is TRUE.

Given an x value of 15, y would be ;

= 2.72 * 15

= 40.8

Coordinates would therefore be (15, 40.8)

Statement B is FALSE.

The coordinates of Y given are impossible given the coordinates of X. In this scenario, Y must always be greater than X as a result of the equation.

Statement C is TRUE.

The slope in the equation takes the form of the $2.72 price being charged per gallon of gasoline such that the total price of x gallons can be calculated by multiplying the number of gallons by $2.72

Statement D is FALSE.

If the price of gasoline were to decrease by $0.03, the slope would become 2.69 not 2.75. 2.75 would be the new slope if the price had increased by $0.03 instead of decreased.

The key features of the dashed graph are

A graph is a pictorial representation of a function

To describe the key features of the dashed graph, we proceed as follows.

So, the key features of the dashed graph are

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Answer:g(x)=-4^2+4x-5

Step-by-step explanation:

Answer: 2, 2, 135, 9, 5, 35, 15, 10, 15, 15

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

one way is guess and check method, you draw a table and try out 3 different consecutive even numbers to see which 3 add up to 66

To solve this expression, we have to group all the x's in one side of the equation and all the other terms that do not depend on x on the other side:

NOTE: it can be solved in less steps. This is detailed way to solve it.

The value of x is x=4.

additive identity is “0” as adding 0 to any number, gives the sum as the number itself. therefore, the answer is: Additive identity

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \: (3 {a}^{2} - 7xy)(3 {a}^{2} + 7xy) = 9 {a}^{ 4 } - 49 {x}^{2} {y}^{2} \)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: (3 {a}^{2} - 7xy)(3 {a}^{2} + 7xy)\)

\(\qquad \tt \rightarrow \:(3 {a}^{2} \sdot3 {a}^{2} ) + (3a {}^{2} \sdot7xy) - (7xy \sdot3 {a}^{2} ) - (7xy \sdot7xy)\)

\(\qquad \tt \rightarrow \:9 {a}^{4} + 21a {}^{2} xy- 21 {a}^{2} xy - 49 {x}^{2} {y}^{2} \)

\(\qquad \tt \rightarrow \: 9 {a}^{ 4 } - 49 {x}^{2} {y}^{2} \)

or

Apply property :

\(\qquad \tt \rightarrow \: (p + q)(p - q) = {p}^{2} - {q}^{2} \)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The value that each term can be multiplied by to eliminate the decimals in the equation is 4

The equation is given as

0.5x + 1 = 0.75x

Represent the terms as a fraction

So, we have

1/2x + 1 = 3/4x

The denominators in th​e above fractions are

2 and 4

The LCM of 2 and 4 is 4

Hence, the value that each term can be multiplied by to eliminate the decimals in the equation is 4

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Answer:

  x = 36

Step-by-step explanation:

Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.

The product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.

  24² = 12(12 +x)

  2·24 = 12 +x . . . . . . . divide by 12

  36 = x . . . . . . . . . subtract 12

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Answer:

Problem 13: yes

Problem 14: no

Step-by-step explanation:

Problem 13:

Plug the values of x and y to solve.

-23 = -7(5) + 12

-23 = -35 + 12

-23 = -23

The values are equal, so the coordinates do solve the equation. It's a yes.

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

Problem 14:

Plug the values of x and y to solve.

-9 = -7(-3) + 12

-9 = 21 + 12

-9 = 33

The values are not equal, so the coordinates do not solve the equation. It's a no.

hope this helps :)

Answer:

\(9^{2} -x^{2}\)

Step-by-step explanation:

The figure is shown in the image attached.

Notice that the shaded light gray area can be calculated by the difference of the bigger square and the smaller square.

The area of the bigger square is: \(A_{big}=9^{2}\)

The area of the smaller square is: \(A_{small}: x^{2}\)

The difference between these areas is: \(A=9^{2} -x^{2}\)

Therefore, the expression that can be used to find the light gray area is: \(9^{2} -x^{2}\)

Additionally, the expression \(x(9-x)+9(9-x)\) is also a right answer, because it's equivalent to the first answer.

\(x(9-x)+9(9-x)=9x-x^{2} +81-9x=81-x^{2} =9^{2} -x^{2}\)

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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The size of angle DAB in the quadrilateral is 48°.

The sum of the interior angles of a quadrilateral is 360°. We can say:

\(\angle \text{A} +\angle\text{B} + \angle\text{C} + \angle\text{D} = 360^\circ\)

\(\angle \text{A} +38^\circ + \angle\text{C} + 226^\circ = 360^\circ\)

\(\angle \text{A} + \angle\text{C} + 264^\circ = 360^\circ\)

\(\angle \text{A} + \angle\text{C} = 360^\circ- 264^\circ\)

\(\angle \text{A} + \angle\text{C} = 96\)

Since angles DAB and BCD are the same size. This implies ∠A  = ∠C. Thus:

\(\angle\text{A} + \angle\text{A} = 96\)

\(2\angle\text{A} = 96\)

\(\angle\text{A} = \dfrac{96}{2}\)

\(\angle\text{A} = 48^\circ\)

Therefore, the size of angle DAB is 48°.

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The shape represents an isosceles trapezoid

The value of CP is 1.1 units

The given parameters are:

The diagonals of an isosceles trapezoid are congruent.

This means that:

\(CA = BD = 2.8\)

Also, we have:

\(CA = CP + AP\)

Substitute values for CA and AP

\(CP + 1.7 = 2.8\)

Subtract 1.7 from both sides

\(CP = 1.1\)

Hence, the value of CP is 1.1 units

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Answer:

(-1,-4)

Step-by-step explanation:

The point (-1,-4) is where both lines intersect.

Answer:

Step-by-step explanation:

find:

As per the graph the intersection point has coordinates:

The point is (-1, -4)