what is the mean and MAD of this data set?
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Given:

The statement is "Five times the difference of the cube of y and the square of x".

To find:

The algebraic expression for the given statement.

Solution:

We know that,

Cube = Power 3

Square = Power 2

Difference = Minus (-)

Times = Multiplication (×)

Now,

Cube of y = [tex]y^3[/tex]

Square of x = [tex]x^2[/tex]

Difference of the cube of y and the square of x = [tex]y^3-x^2[/tex]

Five times the difference of the cube of y and the square of x is:

Required expression = [tex]5(y^3-x^2)[/tex]

Therefore, the correct option is C. The required algebraic expression for the given statement is [tex]5(y^3-x^2)[/tex].

The lengths of the sides of the right triangle that is formed are x-h and y - k

The triangle contained within the circle is a right angled triangle with the longest side as the hypotenuse.

Given the coordinate points (h, k) and (x, y), the lengths of the sides of the right triangle is equal to the difference between the x-ccordinate points and y-coordinate points

For the x-coordinstes

a = x - h

For the y-coordinate

b = y - k

Hence the lengths of the sides of the right triangle that is formed are x-h and y - k

Learn more on unit circle here: https://brainly.com/question/23989157

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Answer:

The measure of angle E is 45 degrees

Step-by-step explanation:

To get the measure if angle E, we use the appropriate trigonometric ratio

From the question, EF is the hypotenuse since it faces the right angle

EG is adjacent to angle E

so we are going to use the trigonometric ratio that connects adjacent to the hypotenuse

This trigonometric ratio is the cosine

It is the ratio of the adjacent to the hypotenuse

Thus,

we have it that;

Cos E = EG/EF

cos E = 6√26/12√13

E = arc Cos ( 6 √26/12 √13)

E = 45 degrees

Answer:

The angle is 1/4 the circumference is the arc

Step-by-step explanation:

To solve this, we are to set up a fractional relation between the central angle subtended by the arc and the total angle subtended by the circle.

At this point, we can note that the circumference of a circle actually subtends an angle of 2π radians at the center.

To express the angle subtended by the central angle [angle at the centre of the arc] as a fraction of the total circle, we do this:

The central angle of arc / total angle at the centre of the circle

= π/2 ÷2π

=[tex]\pi/2 \times \frac{1}{2\pi}= 1/4[/tex]

Therefore the angle is 1/4 the circumference is the arc

Answer:

$4.64

Step-by-step explanation:

$42 x tax rate = 3.36

tax rate = 3.36/42

tax rate = 8%

$58x.08=4.64

Answer:

The coordinates of the vertices of triangle A'B'C' are [tex]A'(x,y) = (0,-4)[/tex], [tex]B'(x,y) = (2,-1)[/tex] and [tex]C'(x,y) = (3,-5)[/tex].

Step-by-step explanation:

According to this statement, triangle ABC must be translated 5 units in the -y direction to form triangle A'B'C'. We need to use the following operations:

[tex]A'(x,y) = A(x,y) +(0,-5)[/tex] (1)

[tex]B'(x,y) = B(x,y) +(0,-5)[/tex] (2)

[tex]C'(x,y) = C(x,y) + (0,-5)[/tex] (3)

If we know that [tex]A(x,y) = (0,1)[/tex], [tex]B(x,y) = (2,4)[/tex] and [tex]C(x,y) = (3,0)[/tex], then the new  vertices of the rectangle are, respectively:

[tex]A'(x,y) = (0,-4)[/tex], [tex]B'(x,y) = (2,-1)[/tex], [tex]C'(x,y) = (3,-5)[/tex]

Answer: x≥14/3

Step-by-step explanation: Hope this help :D

Answer:

Step-by-step explanation:

x+5-4x+5≤−4

-3x≤-14

3x≥14

x≥[tex]\frac{14}{3}[/tex]

b. 31.5

Step-by-step explanation:

AREA OF RHOMBUS = a=pq/2

a=9×7/2

63/2

=31.5

Answer:

-10 i think

Step-by-step explanation:

Answer:96

Step-by-step explanation:

9+9+9+9+9+9+12+30

Answer: B

Step-by-step explanation:

I believe so but I’m not sure I remember having that exact question I forgot

Answer:

12

12x8=96, 96+19=115  

hope it helps

Answer:

8

Step-by-step explanation:

6 divided by 0.75 is 8 :)

Answer:

she will fill 8 boxes

Step-by-step explanation:

Answer:

I think is b or a...........................

Step-by-step explanation:

B.....

Answer:

64 left handed girls

25 left handed boys

89 total left handed students

Step-by-step explanation:

Multiply 320 x 0.2

Multiply 250 x 0.1

You can think of it this way, 0.2 is 2/10 and 0.1 is 1/10 so take 20 percent of 320 and 10 percent of 250

Add them up for your answer 64 + 25 = 89

Answer:

if im correct, x = 64

Step-by-step explanation:

since a triangle's angles must sum to 180°, i subtracted 52 from 180 which gave me 128. then, i divided 128 in two so that it could equal to both of the sides of the triangle.  128/2 = 64

Step-by-step explanation:

what grade you in bro I am 7 how am I supposed to know this

Answer:

Volume of rectangular tank = 6 cubic feet

Step-by-step explanation:

Length of the rectangular tank = 3 feet

Width of the tank = 1 feet

And height of the rectangular tank = 2 feet

Since, tank is in the shape of a cuboid,

Volume of a cuboid = Length × Width × height

                                 = 3 × 1 × 2

                                 = 6 cubic feet

Therefore, volume of the rectangular tank will be 6 cubic feet.        

Answer:

6

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Answer: 8 patties

Step-by-step explanation:

There are 2 pounds of beef and Neil wants to use these to make patties that are 1/4 pounds each.

The number of patties that can be made are:

= Pounds of meat available ÷ Pound needed per patty

= 2 ÷ 1/4

= 2 * 4/1

= 8 patties

Answer:C=2πr=2·π·2≈12.56637in

Step-by-step explanation:

Answer:

95.03

Step-by-step explanation:

half the radius- 11/2=5.5

A=πr^2

=πx5.5^2

Answer:

the fist one

Step-by-step explanation:

its hard to rite on cumputer but i did this question before.

the answer is x-5........

Answer:

BC = 10 units

Step-by-step explanation:

From the picture attached,

It's given that AD and BE are the parallel sides.

AC and DC are the transversal lines intersecting the parallel lines.

In ΔADC and ΔBEC,

∠DAC ≅ ∠EBC [Corresponding angles]

∠ADC ≅ ∠BEC [Corresponding angles]

ΔADC ~ ΔBEC [By AA property of similar triangles]

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

[tex]\frac{AC}{BC}=\frac{DC}{EC}[/tex]

[tex]\frac{AB+BC}{BC}=\frac{DE+EC}{EC}[/tex]

[tex]\frac{2.5+BC}{BC}=\frac{2+8}{8}[/tex]

[tex]\frac{2.5}{BC}+1=\frac{10}{8}[/tex]

[tex]\frac{2.5}{BC}=\frac{5}{4}-1[/tex]

[tex]\frac{2.5}{BC}=\frac{1}{4}[/tex]

BC = 10

Answer:

[tex]10y = 20y + 30 \\ y = 2y + 3 \\ y \: intercep = 3[/tex]

Answer:

even numbers

Step-by-step explanation:

Answer: I can tell that all of them are even.

Step-by-step explanation:

how I can tell is that they end in 6,2,8,4,0 which are all even numbers