7. In which step does a mistake first occur? 8÷2+ (3 x 3-2) Step 1: 8÷2 + (3 x 1) Step 2: 8÷2+3 Step 3: 4+3 Step 4: 7​

answer : 12x²

steps

means put -2x where x is

let f(x) = 3x² what i f(-2x)

3(-2x)²

pemdas

-2x times -2x

4x²

3 times 4x²

12x²

Let's start with the given arc and its angle.

The angle YWX is going to be half the arc length.

YWX = 1/2 (226) = 113

Angles VWX and YWX form a linear pair (or are supplementary angles), which means that their sum is 180 degrees.

(15x - 8) + 113 = 180

15x + 105 = 180

15x = 75

x = 5

Hope this helps!

Answers:

x = 16

y = 41

z = 123

==========================================================

Explanation:

Focus on the large triangle on the left.

The three interior angles of any triangle add to 180 degrees.

57+82+y = 180

y+139 = 180

y = 180-139

y = 41

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

Now focus on the large triangle on the right.

We'll use the same idea as before.

x+102+62 = 180

x+164 = 180

x = 180-164

x = 16

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

The last triangle to focus on is the small one in the middle.

Use the values of x and y to find z.

x+y+z = 180

16+41+z = 180

57+z = 180

z = 180-57

z = 123

Answer:

The angles inside of a triangle always add up to 360 therefore we can easily determine what the angle of x and y is because they are a part of two triangles that have two angles each.  Let's first determine x.

[tex]x = 180 - (102+ 62)[/tex]

[tex]x = 180 - 164[/tex]

[tex]x = 16[/tex]

The second step that we need to do is to determine y using 82 and 57.

[tex]y = 180 - (82 + 57)[/tex]

[tex]y = 180 - 139[/tex]

[tex]y = 41[/tex]

The final step is to determine z using x and y

[tex]z = 180 - (x + y)[/tex]

[tex]z = 180 - (16 + 41)[/tex]

[tex]z = 180 - 57[/tex]

[tex]z = 123[/tex]

Therefore, x = 15 and y = 41 and z = 123

Hope this helps!

Given the function, j(x) = 47x, the number of jumps you can do in 15 minutes is: 705.

A function models the relationship between an input value and its corresponding output value.

Given the function, j(x) = 47x, number of jumping jacks you do in 15 minutes, is:

j(15) = 47(15)

j(15) = 705

Number of jumping jack in 15 minutes is: 705.

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The graph is showing the equation of circle x²+y²=4

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.

The equation will be as follows:-

x²+y²=4

Hence the graph is showing the equation of circle x²+y²=4

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Answer:

There are thirty-nine palindromic numbers between 10 and 400.

Step-by-step explanation:

Listed, they are: 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353, 363, 373, 383, and 393.

Answer:

21.54

Step-by-step explanation:

27.24 - 5.7

= 21.54

Answer:

35%

Step-by-step explanation:

40% + 25% = 65% minus that bye 100 you would get 35% the reason the answer isn't 65 is because add 40+25+65=130 which a whole is equal to 100 but if you do 40+25+35= 100 so thr answer is 35% :)

Answer:

x=8

Step-by-step explanation:

Let's say this mystery number is x.

6 times this x is 16 less than the square of x so we can write this as:

[tex]6x = x^2 - 16[/tex]

We can then re-arrange this into a quadratic and simplify it so:

[tex]x^2 -6x-16 =0[/tex]

[tex](x-8)(x+2)[/tex]

x=8, x=-2

And since the question is asking for the positive solution,
x=8

Problem: 2x^2+3x-9

For a polynomial of the form, ax^2+bx+c rewrite the middle term as the sum of two terms whose product a·c=2·-9=-18 and whose sum is b=3.

Factor 3 out of 3x

2x^2+3(x)-9

Rewrite 3 as -3 plus 6.

2x^2+(-3+6)x-9

Apply the distributive property

2x^2(-3x+6x)-9

Remove the parentheses

2x^2-3x+6x-9

Factor out the greatest common factor from each group

Group the first two terms and the last two terms

(2x^2-3x) (6x-9)

Factor out the greatest common factor in each group.

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

Factor the polynomial by factoring out the greatest common factor, 2x-3

(x+3) (2x-3). So, the quotient is 2x-3

Thus, the correct answer is Option D 2x-3 with no remainder

Answer:

Which three questions?

Step-by-step explanation:

I've answered this first question, I guess I need two more...

The length of AB is 4.12 units, length of BC is 8.25 units and Perimeter of rectangle ABCD is 24.74 units.

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Here,

A (-3, 3) and B (1, 4)

then, Length of AB = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

                               = [tex]\sqrt{(1-(-3))^2+(4-3)^2 }[/tex]

                               = [tex]\sqrt{4^2 + 1^2}[/tex]

                               = [tex]\sqrt{17}[/tex] units.

                               = 4.12 units

B (1, 4) and C (3, -4)

then, Length of BC = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
                                = [tex]\sqrt{(3 - 1)^2+(-4 - 4)^2 }[/tex]

                                = [tex]\sqrt{4 + 64}[/tex]

                                = [tex]\sqrt{68}[/tex]

                                = 8.25 units

Perimeter of Rectangle = 2 ( AB + BC )

                                        = 2 ( 4.12 + 8.25 )

                                        = 2 X 12.37

                                        = 24.74 units

Thus, the length of AB is 4.12 units, length of BC is 8.25 units and Perimeter of rectangle ABCD is 24.74 units.

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Step-by-step explanation:

45 and 22 multiplied would be your answer

Answer: b

Step-by-step explanation:

The expression represents the surface area of the prism is 2.24+120+160+200. Therefore, option B is the correct answer.

Here a triangular prism has been provided with some measurements.

We have to find Which expression can be used to find the surface area of the following triangular prism.

The formula for the surface area of a triangular prism is formed by adding up the area of all the rectangular and triangular faces of a prism. Observe the following figure of a triangular prism to know the dimensions that are considered to frame the formula.

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 +S2 + S3)L + bh

Here, S1, S2 and S3 are sides of triangles, l=length of the prism, b=base and h=height.

Now, (6+8+10)20+8×6=120+160+200+48

=2.24+120+160+200

The expression represents the surface area of the prism is 2.24+120+160+200. Therefore, option B is the correct answer.

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Answer: x^2  i think

Step-by-step explanation: "be the roots m = 2, n = 3 Sum of the roots = m + n = 2 + 3 m + n = 5 Product of the roots = mn = (2)(3) mn = 6 Standard form is x^2 - (m + n)"

Answer:

They bought 6 vanilla wafers and 21 chocolate, they add up to 27.

x = amount of vanilla wafers

y = amount of chocolate wafers.

4x+y = 45

x+y= 27

Step-by-step explanation:

x = amount of vanilla wafers

y = amount of chocolate wafers

Vanilla wafers = 4$ each

Chocolate wafers = 1$ each.

So, 4x+y = 45 and x+y= 27 because they spent 47$ on 27 packs.

With both equations we can substitute.

1. Change one equation so one variable is on one side

x+y = 27 to y = 27-x

2. Substitute the variable from the other equation.

4x+y = 45 to 4x+27-x = 45

3. Solve the equation for x.

4x+27-x = 45

3x+27 = 45

3x = 18

x = 6 (amount of vanilla wafers)

4. substitute with equation.

y = 27-x to y = 27-6

5. Solve the equation for y.

y = 27-6

y = 21 (amount of chocolate wafers)

Answer:

The scale of the drawing to become the statue is 7, and likewise for the statue to become the drawing it is 1/7.

Drawing * Scale = Statue

Take the first dimension:

9 * scale = 63

63/9 = scale

scale = 7

Answer:

7

Step-by-step explanation:

The scale factor is the ratio between the actual size and the model size.

Here, they are termed as "statue" and "drawing" respectively.

Finding scale factor :

Answer:

The answer is, A polygon is a plane figure,

it has no limit in the number of sides, its not an open figure, its not a solid

Step-by-step explanation:

Hope it helps

Answer:

A Polygon is a plane figure

Step-by-step explanation:

Properties of polygon:

1. A polygon is a plane figure with line segments. Two dimensional figure.

2. A polygon has minimum 3 sides and has maximum limit.

3. The sum of all interior angles of the polygon is given by (n -2)*180 where n is the number of sides.

4. The sum of exterior angles of any polygon is 360

Answer:

0

Step-by-step explanation:

just plug it into a calculator

The area bounded by the curves will be 0.089. Then the correct option is A.

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The functions are given below.

y₁ = eˣ   ....1

x = (y - 1)²  ...2

Then equation 2 can be written as

y₂ = √x + 1

The intersection point of the curves will be

eˣ = √x + 1

BY solving, the value of x will be

x = 0, 0.558

Then the area bounded by the curves will be

[tex]\rm A = \int _0^{0.558} (y_2 - y_1) dx\\\\\\A = \int _0^{0.558} (\sqrt{x} + 1 - e^x )dx\\\\\\A = \left [\dfrac{x^{3/2}}{3/2} + x - e^x \right]_0^{0.558} \\\\\\A = \left [\left (\dfrac{0.558^{3/2}}{3/2} + 0.558 - e^{0.558} \right ) - \left ( \dfrac{0^{3/2}}{3/2} + 0 - e^0 \right) \right]\\[/tex]

On further solving we have

A = -0.911 + 1

A = 0.0887

A ≅ 0.089

Then the correct option is A.

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Answer:

x ≥ -42

Step-by-step explanation:

[tex]\frac{x}{7} > =-6[/tex]

[tex]\frac{x}{7}\cdot 7 > =-6\cdot 7[/tex]

[tex]\frac{1}{7}\cdot 7x > =-6\cdot 7[/tex]

[tex]x > =-6\cdot 7[/tex]

[tex]x > =-42[/tex]

Shortcut

• Multiply positive 7 by negative 6 to find x as a shortcut.

Answer:

Hot dog sold = 33

Sodas Sold = 72

Step-by-step explanation:

Given:

At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold

To Find:

Number of soda/hot dog sold

Solve:

h + ( 39 + h ) = 105

h + 39 + h = 105

2h + 39  = 105

h + 19.5 = 52.5

h = 52.5 - 19.5

This as a system does not use any inequality. "39 more than" means, +39.

h = 33    meaning    d= 72

Add to check Answer:

33 + 72 = 105

Thus,

Hot dog sold = 33

Sodas Sold = 72

Kavinsky

Answer:

A

Step-by-step explanation:

-2+2=5-5

0=0

the correct answer is A

Answer:

x = -3 + √42

Step-by-step explanation:

1) Expand the square

2) Distribute
3) Distribute

4) Distribute

5) Combine like terms

6) Add the numbers

7) Move terms to the left side

8) Subtract the numbers

9) Use the quadratic formula

10) Simplify

11) Separate the equations

12) Solve

Therefore, the solution of this equation is x = -3 + √42

Step-by-step explanation:

(x + 3)² + 4 = 46

(x + 3)² = 42

x + 3 = ±sqrt(42)

x = ±sqrt(42) - 3

x1 = sqrt(42) - 3 = 3.480740698...

x2 = -sqrt(42) - 3 = -9.480740698...

Will ran down the street to catch the bus.

Hope this helps, thanks,

CoDBiarex

Answer:

After basketball practice Julie hit the books.

Step-by-step explanation:

Informal English often uses slang words that not everyone understands.

Answer:

π x³ /12 is the volume of the cone if  A cone has a height of x and a diameter of x

Step-by-step explanation:

The base diameter and the height of a cone are both equal to x units

Diameter of cone = x  units

Radius = Diameter /2

=> Radius of cone = x/2 units

Height of cone =x units

Volume of cone = (1/3) π r²h

r = radius h = height

=> Volume of cone =  (1/3)π (x/2)² * x

= (1/3) π (x²/4) * x

= (1/12)  π x³

= π x³ /12 cubic units

Answer:

20 g/cm³

Step-by-step explanation:

mass = 180g

volume = 9 cm³

density =mass/volume

=180/9= 20 g/cm³

Answer:

  (D)

Step-by-step explanation:

The box plot is a visual representation of the 5-number summary of the data. It shows the extremes, the quartiles and the median.

__

Each data set has 11 elements, sorted into increasing order.

The first and last elements of the data set correspond to the ends of the whiskers, so you are looking for a set that ranges from 3 to 18. (This eliminates choice B.)

The median will be the middle element, the 6th from either end. The vertical line in the box identifies its value as 10. (This eliminates choice A.)

The first quartile is the middle element of the bottom half of the data set (what remains after the median and above elements are removed). There are 5 elements in the bottom half, so the first quartile is the 3rd one. It is signified by the left end of the box in the box plot. Its value is 7. (This eliminates choice C.)

Similarly, the third quartile is the 3rd element from the right end of the data set. The value 13 in choice D matches the right end of the box in the box plot.

The box plot represents the data set in Choice D.

Answer:

x = 1

Step-by-step explanation:

[tex]\sf Sin \ 37^\circ = \dfrac{opposite \ side}{hypotenuse}\\\\[/tex]

[tex]\sf 0.6 = \dfrac{0.6}{x}\\\\Cross \ multiply,\\\\ 0.6*x = 0.6\\\\x = \dfrac{0.6}{0.6}\\\\x = 1[/tex]