Jean-Paul Sovique, the famous sculptor, is building a solid conical sculpture. He has 1,178.1 cubic feet of clay to work with, and he wants his sculpture to be three times as high as its radius. What will the radius and height of his cone be?

Answer:

A) DEBBIE: 1p+4t=29

B) JOEY: 5p+2t=28

Step-by-step explanation:

Answer:it is 9 because you subtract 6 from the 8 and then you add 2 and 7 to get 9

Step-by-step explanation:

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, - 3) and (x₂, y₂ ) = (- 12, - 3)

m = [tex]\frac{-3+3}{-12+8}[/tex] = [tex]\frac{0}{-4}[/tex] = 0

Slope is rise per run. Rise is difference of y ordinates and run is difference of corresponding x abscissa.

The slope of the line that passes through the given points is 0

Slope of the line that passes through given points.

In graphing, we use Cartesian plane and assume y axis to be perpendicular and mostly we take height or depth related stuffs on y axis, that's why y ordinates will be considered to calculate the rise and x axis is like flat ground, thus x abscissa will be used to calculate the run.

Let the points' coordinates are denoted by symbols as:

[tex](x_1, y_1) = (-8,-3)\\ (x_2, y_2) = (-12, -3)\\ [/tex]

[tex]slope = \dfrac{rise}{run} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-3) - (-3)}{(-12)-(-8)} = \dfrac{0}{-4} = 0[/tex]

Slope is zero means you run whatever, the rise is 0, which means the line is not going to rise and stay flat (horizontal).

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Answer:

x=2.5

Step-by-step explanation:

Put the like terms together, like so:

10x-2x=34-14

The result is this:

8x=20

Simplify to get:

x=2.5

Answer:

x= 2 1/2 or x=2.5

Answer:

$21.23 - $5.25 = d

Step-by-step explanation:

Answer:

A. a numerical equation

Step-by-step explanation:

Answer:

x^2+6x+9

Step-by-step explanation:

x^2 +6x

Take the coefficient of x

6

Divide by 2

6/2 = 3

Square it

3^2 = 9

Add 9 to each side

x^2+6x+9

Answer:

et's solve your equation step-by-step.

(x+3)2−1=35

Step 1: Simplify both sides of the equation.

x2+6x+8=35

Step 2: Subtract 35 from both sides.

x2+6x+8−35=35−35

x2+6x−27=0

Step 3: Factor left side of equation.

(x−3)(x+9)=0

Step 4: Set factors equal to 0.

x−3=0 or x+9=0

x=3 or x=−9

Answer:

x=3 or x=−9

Answer:

Add 1 to each side

Take the square root of each side

Subtract 3 from each side

Step-by-step explanation:

(x+3)^2  -1 = 35

Add 1 to each side

(x+3)^2  -1+1 = 35+1

(x+3)^2   = 36

Take the square root of each side

sqrt ((x+3)^2)   =±sqrt (36)

x+3 = ±6

Subtract 3 from each side

x+3-3 = -3±6

x = -3±6

x = -3+6          x = -3-6

x = 3                x = -9

Answer:

The discriminant is 0

That means there is one real zero

Step-by-step explanation:

3x^2 + 24x + 48

This in the form

ax^2 +bx+c

a=3 b=24 c = 48

The discriminant is

b^2 - 4ac

24^2 - 4(3)(48)

576-576

0

The discriminant is zero

That means there is one real zero

Answer:

See below

Step-by-step explanation:

1) x=2-1

x=1

2) (x+1)(x+1)=2(x+1)

3) 10x-20 -11 = 4+3x

10x-3x=20+11+4

7x=35

x=5

Answer:

C. j + 6

Step-by-step explanation:

2(2j + 3) - 3j

multiply each term in the parentheses by 2

2 x 2j + 2 x 3

calculate the product

4j + 6 -3j

collect like terms by subtracting their coefficients

(4 - 3)j

then subtract the numbers

1j

when the term has a coefficient of 1, it doesn't have to be written

j

then plug in the other number and that's your answer

j + 6

Answer:

Step-by-step explanation:

C. j + 6

Hope this helps!! :)

Answer:

The volume of the box would be 6x³+33x²+54x+27.

Step-by-step explanation:

The new dimensions of the box would be (x+3), (2x+3), and (3x+3). Since the volume of a rectangular prism are calculated by multiplying the length, width, and depth, we can just multiply all three of these dimensions together to come up with the answer.

Using foil on the first two terms originally you get (x+3)×(2x+3)= 2x²+3x+6x+9 which can be simplified to 2x²+9x+9.

Then you multiply this equation by (3x+3). (2x²+9x+9)×(3x+3)= 6x³+6x²+27x²+27x+27x+27 which can be simplified to 6x³+33x²+54x+27.

Answer:

6x³+33x²+54x+27

Step-by-step explanation:

dimensions are now:

x+3, 2x+3, 3x+3

Volume

Answer:

≈82698.73 kg m²/s

Step-by-step explanation:

K.E.=1/2mv²=1/2×745×14.9²=82698.725 kg m²/s

Answer:

[tex]0.38 \times 22[/tex]

Step-by-step explanation:

The correct expression used to find 38 percent of 22 is

[tex]0.38 \times 22[/tex]

4^2 = 4 * 4.

4 * 4 = 16.

Therefore, p ^2 = 16.

Answer:

16

Step-by-step explanation:

i showed the work in the picture above

Answer:

78 dollars

Step-by-step explanation:

Take the prices and multiply by the percent commission

778 * 10 %

Change to decimal form

778 * .10

77.80

Round to the nearest dollar

78

Answer:77.80

Step-by-step explanation:

Answer:

28°

Step-by-step explanation:

every Triangle equals to 180°

85+67=152

180-152=28

Answer:

2635*'fhhdgjvsvaksgwksygwi at gwjsksgeieh egg ejei

Answer:

p(1)=100

Step-by-step explanation:

p(1) just means "substitute the value (1) in for (x) in the equation"

So,

[tex]1^{99}[/tex]+99= 100

(1 to any power is always equal to 1, including 0)

Answer:

[tex]n<\frac{29}{9}\\n<3.222222.....\\[/tex]

n ≈ 3

Step-by-step explanation:

9n-2<7+20

[tex]9n-2<27 \leftarrow \text {Combine Like Terms}\\9n-2+2<27+2 \leftarrow \text {Addition Property of Equality}\\9n<29\\\frac{9n<29}{9} \leftarrow \text {Divsion Property of Equality}\\\boxed{n<\frac{29}{9}}[/tex]

Answer:

There are 341 inches from  the perimeter of a pentagon train made from 85 pentagons

Step-by-step explanation:

A pentagon is a polygon with five sides. A regular pentagon have all the five sides equal in length and also all the five interior angles equal.

The perimeter of a pentagon = 5l

Nof for a pentagon train attached to 1 pentagon by its sides;

The perimeter = (5 × 1 - (1-1))

Perimeter = 5

For pentagon train attached to two pentagon

Perimeter = ( 5×2 - (2-1))

Perimeter = (10 1)

Perimeter = 9

For pentagon train with n pentagon

Perimeter = ( 5× n -(n-1))

Perimeter = 5n - n+1

Perimeter = 4n + 1

∴ For pentagon train attached to 85 pentagon; where n=85

Perimeter = 4 n + 1

Perimeter = (4 × 85)+1

Perimeter = 340+1

Perimeter = 341 inches

There are 341 inches from  the perimeter of a pentagon train made from 85 pentagons

Answer:

A=314 feet

Step-by-step explanation:

[tex]A=\pi r^{2}[/tex]

[tex]A=3.14*10^{2}[/tex]

[tex]A=3.14*100[/tex]

[tex]A=314 feet[/tex]

Answer: 2

Step-by-step explanation:

Answer:

x = -2

-2(-2^2) + 4(-2)

-2(4) + -8

Answer:

[tex]0.2y+0.2x-8[/tex]

Step-by-step explanation:

[tex]\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)[/tex]

[tex]=\frac{2}{5}y+\frac{1}{5}x-0.2y-6-2[/tex]

[tex]=\frac{2}{5}y-0.2y+\frac{1}{5}x-6-2[/tex]

[tex]\frac{2}{5}y-0.2y[/tex]

[tex]=y\left(\frac{2}{5}-0.2\right)[/tex]

[tex]\frac{2}{5}-0.2=0.2[/tex]

[tex]=0.2y[/tex]

[tex]=0.2y+\frac{1}{5}x-6-2[/tex]

[tex]\frac{1}{5}x[/tex]

[tex]=\frac{1\cdot \:x}{5}[/tex]

[tex]=\frac{x}{5}[/tex]

[tex]=0.2y+\frac{x}{5}-6-2[/tex]

[tex]=0.2y+0.2x-8[/tex]

Answer:

Quadratic Equations ⇒ D, E, F

Step-by-step explanation:

Let us say that each of these equations can only be defined as a quadratic equation if it can be factored / solved through completing the square / application of quadratic formula as solve for the value of x;

[tex]A. 2x - 1 = 0, Add + 1 to either side,\\2x = 1, Divide sides by 2,\\x = 1 / 2 ; Not Quadratic Equation[/tex]

[tex]B. 2x^2 - 1 = 0, Add + 1 to either side,\\2x^2 = 1, Divide sides by 2,\\x^2 = 2, Take | | of x, \sqrt{x} - either side \\\| x | = \sqrt{1 / 2},\\x = \sqrt{1 / 2} = - \sqrt{1 / 2} ; NotQuadraticEquation[/tex]

[tex]C. 2x^2 - 1, NotInForm - ax^2 + bx + x = 0 ; NotQuadraticEquation[/tex]

[tex]D. 3x^2 + 5x - 1 = 0, Add 1 to either side,\\3x^2 + 5x = 1, Divide sides by 3,\\x^2 + 5x / 3 = 1 / 3, Solve for a,\\2ax = 5 / 3x, Divide sides by 2x,\\a = 5 / 6, Add a^2 - ( 5 / 6 )^2 to either side,\\x^2 + ( 5x / 3 )^2 + ( 5 / 6 )^2 = 1 / 3 + ( 5 / 6 )^2, simplify,\\( x + 5 / 6 )^2 = 37 / 36, solve for x,\\x = ( \sqrt{37} - 5 ) / 6 = ( - \sqrt{37} - 5 ) / 6 ; QuadraticEquation[/tex]

[tex]E. x - x^2 + 5 = 0, Similar Form ; QuadraticEquation\\[/tex]

[tex]F. - 4x^2 + x = 0, Factor the Expression,\\- x * ( 4x - 1 ) = 0, Apply Zero Product Property,\\x = 0, and, 4x - 1 = 0,\\x = 0 = 1 / 4 ; QuadraticEquation[/tex]

The quadratic equations are:

2x² - 1 = 0

2x² - 1

3x² + 5x - 1 = 0

x - x² +5 = 0

-4x² + x = 0

Options B, C, D, E and F are the correct answer.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

A polynomial with degree 2 is called a quadratic equation.

A.

2x – 1 = 0

This is not a degree 2 equation.

B.

2x² - 1 = 0

This has degree 2.

C.

2x² - 1

This has degree 2.

D.

3x² + 5x - 1 = 0

This has degree 2.

E.

x - x² +5 = 0

-x² + x + 5 = 0

This has degree 2.

F.

- 4x² + x = 0

This has degree 2.

Thus,

B, C, D, E,  and F are quadratic equations.

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Answer:

[tex]-7[/tex]

Step-by-step explanation:

[tex]f(-3)=-7[/tex]

Answer: Verticals angles are when 2 line intersect at a point forms 2 pairs of angles. The pairs will be opposite of each other.

The picture I have attached should give a good representation of what I mean.

The A angles are the same and the B angles are the same in the picture.

Answer:

Reflect over the x-axis and shift up 3.

Answer:

Reflect over the x-axis and shift up 3

Step-by-step explanation:

Answer:

5^10 / 5^8 = 5^2 = 25 so the equation becomes 25 = (1/5) ^ n. This means that n = -2.

Answer:

[tex]n=-2[/tex]

Step-by-step explanation:

[tex]\frac{5^{10}}{5^8}=(\frac{1}{5})^n[/tex]

Use the law of exponents.

[tex]5^{10-8}=\left(\frac{1}{5}\right)^n[/tex]

1/5 can be written with a base of 5.

[tex]5^{10-8}=\left(5^{-1}\right)^n[/tex]

Cancel the base 5 on both sides.

[tex]10-8=-1\times \:n[/tex]

[tex]2=-n[/tex]

Multiply both sides with -1.

[tex]n=-2[/tex]