The price of a video game was reduced from $70.00 to $40.00. By what percentage was the price of the video game reduced?

The value of sin U of the right triangle is as follows:

sin U = 12 / 13

A right angle triangle are triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be named according to the angles position. The sides of a right triangle are as follows:

The angles and side of a right triangle can be found using trigonometric ratios as follows:

sin U = opposite / hypotenuse

where

opposite side = 12

hypotenuse side = 13

Hence,

sin U = 12 / 13

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The equation of the line that passes through (1,2) and is perpendicular to the given line is y = -x + 3 with slope 2.

Given line: y = 2x - 1

We know that two lines are perpendicular if their slopes are negative reciprocals of each other.

The provided line's slope is m1 = 2.

Therefore, slope of the line that passes through (1,2) and is perpendicular to the given line = m2 = -1/2

Now, we can use the point-slope equation of a line to find the equation of the line:

y = -x + 3

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Answer:25

Step-by-step explanation:

just think its so easy

Answer:

25

Step-by-step explanation:

The inequality that could represent the possible values for the number of tacos sold and the number of burritos sold is 4t + 6.25b ≥ 630.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

The inequality that could represent the possible values for the number of tacos sold and the number of burritos sold will be:

4(t) + 6.25(b) ≥ 630.

4t + 6.25b ≥ 630.

Therefore, the inequality is 4t + 6.25b ≥ 630..

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The probability that it will be a king or a diamond is 4/13

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

There are 52 cards, of which 4 are kings.

There are 52 cards, of which 13 are diamonds.

But there are only 3 cards that are kings which are not diamonds, and only 12 cards that are diamonds but not kings, there’s one card that is both a king and a diamond.

So, there are 3/52+12/52=15/52 chances of drawing a card that is king or diamond but not both.

There are 3/52+12/52+1/52=16/52 chances of drawing a card that is king or diamond or both.

Hence, the probability that it will be a king or a diamond is 4/13.

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Answer:

To solve the equation y = -5/2x - 7, we can first multiply both sides of the equation by 2x + 7, which is the denominator of the fraction on the right-hand side. This gives us the equation 2xy + 7y = -5, which we can rearrange to isolate the variable y on one side of the equation. Dividing both sides of the equation by 2x + 7, we get y = -5 / (2x + 7). This is the solution to the original equation.

Step-by-step explanation:

Simplify each term.

y= −5 x2 −7

The probability that the same number appears twice is 0.16

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The fair die is thrown twice.

The total number of outcomes if a fair die is tossed twice is 36.

The favorable number of outcomes, which also contains six, is six.

Following is a calculation of the likelihood of the same number appearing twice.

Probability = (Number of possible outcomes)/(Total number of outcomes)

                  = 6/36

                  = 0.16

So, the probability is 0.16

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The vertex of the function g(x)=-2x²- 14x +12 is (-7/2, 25/2).

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given function is g(x)=-2x²- 14x +12

We need to find the vertex of the function.

y=-2x²- 14x +12

To make it a perfect square we are adding and subtracting (7/2)²

y=-2x²- 14x +(7/2)²+12-49/4

y=-2(x+7/2)²+25/2

x+7/2=0

Subtract 7/2 on both sides

x=-7/2

and y=25/2

Hence, the vertex of the function g(x)=-2x²- 14x +12 is (-7/2, 25/2).

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Answer:

-250 feet

Step-by-step explanation:

-25x10=-250

according to the question

given data in the question,

the foci of an ellipse are (5,0) and (-5,0)

and vertices are (8,0) and (-8,0)

** Standard Form of an Equation of an Ellipse is  

where Pt (h k) is the center. (a variable positioned to correspond with major axis)

a and b  are the respective vertices distances from center

and  are the foci distances from center: a > b

Recommend sketching it...Foci (-5,0) (5,0) and Vertices (8,0) (-8,0).

then using √(64+b^2  )=5 to find b

64 - b^2 = 25, b = √ 39

**** The standard form of the equation is an ellipse

where Pt (h, k) is the center. (variable aligned to match long axis)

a and b are the respective vertex distances from the center.

and   are the distances from the center to the focal point.

a > b

hyperbolic equations in normal form,

C (h, k) and 2b units up and down from the centre at vertex 'b' Horizontal axis length

Focus units up and down from the center along x = h

& asymptotes straight line through C (h, k) with slope m = b/a

after that.

C (h, k) and corner 'a' are units left and right of the center, 2a is the length of the horizontal axis

The focal points are units left and right of the center along y = k.

asymptotes straight line through C (h, k) with slope m = b/a

parabolic vertex form open to the top (a>0) or bottom (a<0 x=removed>0) or left (a<0),

where (h, k) is the vertex and y = k is the line of symmetry.

The standard form is where the focus is (h + p, k )

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** Standard Form of an Equation of an Ellipse is  

where Pt (h k) is the center. (a variable positioned to correspond with major axis)

a and b  are the respective vertices distances from center

and  are the foci distances from center: a > b

Recommend sketching it...Foci (-5,0) (5,0) and Vertices (8,0) (-8,0).

then using √(64+b^2  )=5 to find b

64 - b^2 = 25, b = √ 39

**** The standard form of the equation is an ellipse

where Pt (h, k) is the center. (variable aligned to match long axis)

a and b are the respective vertex distances from the center.

and   are the distances from the center to the focal point.

a > b

hyperbolic equations in normal form,

C (h, k) and 2b units up and down from the center at vertex 'b' Horizontal axis length

Focus units up and down from the center along x = h

& asymptotes straight line through C (h, k) with slope m = b/a

after that.

C (h, k) and corner 'a' are units left and right of the center, 2a is the length of the horizontal axis

The focal points are units left and right of the center along y = k.

asymptotes straight line through C (h, k) with slope m = b/a

parabolic vertex form open to the top (a>0) or bottom (a<0 x=removed>0) or left (a<0),

where (h, k) is the vertex and y = k is the line of symmetry.

The standard form is where the focus is (h + p, k )

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The equation of the ellipse with foci as (5,0) and (-5,0) is

[tex]\frac{x^2}{49}+\frac{y^2}{24}=1[/tex]

A plane section of a right circular cone that is a closed curve is produced by a point moving in such a way that the sum of its distances from two fixed points is a constant.

Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 is the equation in standard form for a conic section. Here, A, B, C, D, E, and F are all real integers, and A 0, B 0, and C 0. The conic section is an ellipse if B2 - 4AC 0.

where the center is Pt(h,k). (a variable placed such that it lines up with the main axis)

The relative vertices' distances from the center are a and b.

the foci's separations from the center are: a > b

It's suggested that you sketch it: Vertices (-7,0), Focus (-5,0), and (5,0). (7,0).

then finding b 

 when 49 - b2 = 25.

The relative vertices' distances from the center are a and b.

furthermore, 

the foci's separations from the center are: a > b

The equation for an opening up and down hyperbola

 having C(h,k), vertices "b" units up and down from the center, and a transverse axis length of 2b.

Foci

29 units away from the center, along x = h

& Asymptotes Lines Through C(h,k), Slope m = b/a

Equation of a Hyperbola Opening Right and Left Standard Form:

with C(h,k), vertices 'a' units to the right and left of the center, and 2a the transverse axis length

y = k along 29 units to the right and left of the center

& Asymptotes Lines through C(h,k), slopes m = b/a

 is the vertex form of a Parabola with an opening up (a>0) or down (a0).

where the vertex is (h,k), and the line of symmetry is (x = h).

The conventional form is  with (h,k + p) as the main focus.

the vertex form of a Parabola opening right(a>0) or left(a0).

where y = k is the Line of Symmetry and (h,k) is the vertex

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The slope intercept form of equation of required line is y = 3x + 9

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If  [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m =  [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

Slope = 3

The line passes through (8, 33)

Equation of required line

y - 33 = 3(x - 8)

y - 33 = 3x - 24

y = 3x - 24 + 33

y = 3x + 9

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The minimum number of elements required for the construction of  a quadrilateral uniquely are 5 elements.

Explanation:

The minimum number of elements required for the construction of  a quadrilateral uniquely are  as follow:

Therefore, minimum 5 elements are required to construct a unique quadrilateral.

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Answer: There are only a few similar congruent triangles.

Step-by-step explanation:

Answer: Juana's monthly cost is .05 per text. Tonya's is .5 per text. The correct answer to your question is Tonya pays $20 for 150 messages because that is not true

Step-by-step explanation:

Answer: 0.109011627907

Step-by-step explanation:75 divided by 688 =0.109011627907

Option B is correct, the perimeter of the entire design is 64cm.

In the design, there are two congruent trapezoids stitched together.

So, the given length = 14cm & base = 9cm

There are 4 bases and 2 lengths.

So, the perimeter of a trapezoid is

= length + base

= 14 x 2 + 9 x 4

= 64 cm.

So, the perimeter of the entire design is 64 cm.

The perimeter of a trapezoid is the sum of the lengths of every facet of the trapezoid. A trapezoid is a quadrilateral that has aspects parallel to each different and non-parallel aspects termed bases and legs respectively. The perimeter of a trapezoid is defined as the overall length of the boundary of the trapezoid. A trapezoid is a -dimensional shape (2nd shape) and an irregular polygon. thus, the perimeter of the trapezoid is calculated by including the period of all its aspects.

The perimeter of a trapezoid is expressed in linear units like, 'inches', 'feet', 'meters' or 'centimeters', and many others. The formulation of the perimeter of a trapezoid is a simple one wherein the duration of all 4 sides is added. study the trapezoid ABCD given below wherein aspects AB and CD (bases) are parallel to each other while ad and BC (legs) are non-parallel sides.

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Complete question: -

Cameron makes a quilt design using four congruent What is the perimeter of the entire design? triangles as shown below.

As per the concept of survey, Nonresponse is the type of bias that happens when individuals with certain characteristics are less likely to respond to surveys than others.

What is the working process of survey?

In general terms, survey refers a set of questions people are asked to gather information or find out their opinions, or the information gathered by asking many people the same questions.

Here we need to find the type of bias occurs when individuals with certain characteristics are less likely to respond to surveys than others.

As we know that, when respondents to a survey question or the entire survey are unable or unwilling to respond, this is known as nonresponse bias. Individuals have many excuses for not responding and a cause of error must be systematic in order to be categorized as biased.

Here the distinction between respondents and non-respondents frequently plays a role in explaining why there was no response.

Therefore,  Non-response bias, also known as participation bias, is sometimes the result of shoddy survey design and poor questionnaire targeting.

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The Poster Dimensions of rectangle will be:

W = 18 inches

Y = 36 inches

Area can be defined as the amount of space covered by a plane of a particular shape. It is measured in "number" of square units (square centimeters, square inches, square feet, etc.). The area of ​​a rectangle is the number of unit squares that fit in the rectangle. Examples of rectangles are flat surfaces such as laptop monitors, chalkboards, and painting canvases. You can use the rectangle area formula to find the space occupied by these objects.

Now,

Let's say the printable area of ​​a rectangular poster is 512 square inches

"x". " and "y" - the dimensions of the printed area of ​​the poster

A(p) = printed area of ​​the poster = x × y

512 = x × y ⇒ y = 512/x

Therefore, The total area of ​​the poster is:

A( t) = ( y + 4 ) ×  ( x + 2 )

⇒ A(t) = yx +2y +4x + 8 and y = 512/x

Total Area of x or Total poster area as x function:

   A(x) =( 512/x)*x + 2* (512/x) + 4*x + 8

   A(x) = 512 + 1024/x + 4 *x + 8

⇒ A(x) = 520 + 1024/x + 4*x

Differentiating both sides of the equation gives:

     A´(x) = - 1024/x² + 4

     A´(x) = 0

⇒ - 1024 /x² = -4

⇒  4*x² = 1024

⇒ x² = 1024/4

⇒ x² = 256

or, x = 16 inches

and y = 512/x

⇒ y = 512/16

⇒ y = 32 inches

So x is found, the y dimension of the print area, Than n is the dimension of the poster:

Therefore,

w = x + 2 ⇒ w = 16 + 2 w = 18 in

And,

Y = y + 4 ⇒ Y = 32 + 4 Y = 36 in

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Work done by the person for the displacement of 100m along +x-axis with constant velocity and mass of 10kg is equal to 0Joule.

As given in the question,

Mass of a person 'm' = 10kg

Displacement of the person while walking along +x axis 'd'= 100m

Constant velocity = 2m/s

Let 'w' be the work done by the person

Work = Force × Displacement

Force = mass × acceleration

Acceleration = (final velocity - initial velocity)/ total time taken

Here, Constant velocity ⇒final velocity - initial velocity = 2- 2

                                                                                      = 0m/s

⇒Acceleration = 0m/s²

⇒Force = 10 × 0

             = 0Kgm/s²

⇒Work done = 0 × 100

                     = 0 Joule

Therefore, work done by the person for the given displacement, velocity, and mass is equal to zero Joule.

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It is true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.

A parabola is a quadratic function graph .A parabola is a curve equation in which a point on the curve is equidistant from a fixed point and a fixed line.

The fixed point is known as the parabola's focus, and the fixed line is known as the parabola's directrix. It is also worth noting that the fixed point does not lie on the fixed line.

A parabola is a locus of any point that is equidistant from a given point (focus) and a given line (directrix). The parabola is a significant curve of the coordinate geometry's conic sections.

The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h,k) denotes the vertex.

The standard equation of a regular parabola is y² = 4ax.

It's true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.

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The required pounds of Bolivian coffee and Colombian coffee are 2500 and 1500 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as ax + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are direct conditions in two factors.

Let x be the pound of Bolivian coffee and y is that of Colombian coffee.

Bolivian coffee sells for $4.59 per pound, and Colombian coffee sells for $5.95 per pound and whole mixture sells for $5.10.

So,  4.59x + 5.95y = 5.10(4000)

4.59x + 5.95y = 20400--------------------(1)

and x + y = 4000-----------------------------(2)

On solving above two equation, we get

x = 2500 pounds and y = 1500 pounds

Thus, required pounds of two coffees are 2500 and 1500.

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Answer:

Answer:A=20000(1+0.059)^10A=$35,480.49

Step-by-step explanation:

Since the ΔEFG is similar to ΔHIJ, so side HI is equivalent to the measure of length of segment [EF] divided by the scale factor [K].

        equilateral triangle, scalene triangle, isosceles triangle etc.

We have triangle ΔEFG is similar to triangle ΔHIJ.

Since ΔEFG is similar to triangle ΔHIJ, then we can write -

EF/HI = FG/IJ = EG/HJ = K [constant]

Since the side lengths are not given, we can write -

EF/HI = K

HI = EF/K

Therefore, since the triangles ΔEFG is similar to ΔHIJ, the side HI is equivalent to HI = EF/K.

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Answer: I may not be much of a help, but....

Step-by-step explanation: Count up each year by 2%, and then do the rounding! I really do hope this helps!

Answer:

Step-by-step explanation:

So basically ur adding  2 % every year.

Answer: 100 meters

Step-by-step explanation:

10 meters = 1,000 years old

50 meters = 5,000 years old

and so 100 meters =  10,000 years old

hope this helps you!

The volume of the resulting solid is 16623 when a circular hole of radius 5 has been bored through the center of a ball with a radius of 16.

Given that,

A circular hole of radius 5 has been bored through the center of a ball with a radius of 16.

We have to determine the resulting solid's volume.

We know that,

Volume of the original ball= 4/3πr³

Radius r=16

Volume v₁=4/3π(16)³ = 16384π/3

Volume of hole = 4/3πr³

Radius r=5

Volume v₂=4/3π(5)³ = 500π/3

Volume of the resulting solid = v₁-v₂

= 16384π/3 - 500π/3

= 15882π/3

= 16623

Therefore, The volume of the resulting solid is 16623 when a circular hole of radius 5 has been bored through the center of a ball with a radius of 16.

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Answer: -8 and 4 or 16 and 2

Step-by-step explanation:

A pair of integers that satisfies the given conditions is -8 and 4.

When multiplied, the product of -8 and 4 is -32. When added, the sum of -8 and 4 is -4. Therefore, -8 and 4 are a pair of integers that satisfies the given conditions.

To verify this solution, we can multiply -8 and 4 to get -32, and then add -8 and 4 to get -4. This confirms that -8 and 4 are a valid solution to the problem.

It is also possible to find other pairs of integers that satisfy the given conditions. For example, another pair of integers that satisfies the given conditions is -16 and 2. When multiplied, the product of -16 and 2 is -32. When added, the sum of -16 and 2 is -4. Therefore, -16 and 2 are another pair of integers that satisfies the given conditions.

Answer:

B

Step-by-step explanation:

The amount of money lost per year is 15x

Where 100x can be any amount

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Let the total amount of money earned in a year from the field = 100x

The new field area.

= 100% - 15%

= 85%

Now,

The amount of money earned in a year from the new field area.

= 85% of 100x

= 85x

Now,

The amount of money lost per year.

= 100x - 85x

= 15x

Thus,

If 15% of the field is reduce the amount of money lost per year is 15x

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A) g(5)=(5+1)2

6*2

12

b) (2m+4)2

4m+8

C) (9+1)2

10*2

20