The HHS Math Talent show is giving out cylinder trophies this year to its winners. The trophy is a cylinder with a
height of 18 cm and a radius of 6 cm. The density of gold is 19.32 g/cm and the density of silver is
10.5 g/cm?
How much heavier is the gold trophy compared to the silver to the nearest whole grom?

Answer:

( -1 , -3 ) , ( 4 , -3 ) , (4 , -1 )

Answer:

The parent function for a quadratic is f(x) = x^2. If there is something other than this, that is how you know it is a quadratic transformation.

Answer:

37.7 in.

Unfortunately, I cannot include the question with the full steps.

Here is the equation:

[tex]\pi * 12 = 37.7[/tex]

[tex]diameter = 12 \: in[/tex]

the circumference of the circle.

[tex]c = \pi \: d[/tex]

[tex]c = \pi \times 12[/tex]

[tex]c = 37.6991118431[/tex]

[tex]c = 37.7 \: in[/tex]

therefore, the circumference of the circle is 37.7 inch.

The statement describes the graph

A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

Graph B represents h(x).

Graph B represents j(x).

From the question, we have the following parameters:

h(x) = f(x) + g(x)

j(x) = f(x) * g(x)

As, we don't have function of the graphs.

So, all the functions are linear functions, then the slopes of the sum of functions f(x) and g(x) could be greater than the slopes of h(x) and j(x).

The graph h(x) and j(x) is represented by graph B.

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Answer:

B

Step-by-step explanation:

Gambling is the act of risking something of material value on an uncertain outcome. The people who gamble are totally unaware of the outcome. The outcomes are unpredictable so it is risking something of material to win a something of greater material value.

(-5,6)

When a point is reflection a new, prime point (x') is created.

Formula

Whenever a point is reflected over the x-axis it follows a specific rule. The point goes from (x,y) to (x,-y). So, since the point is (-5, -6) we need to switch the sign of the y-value. This creates the new point (-5, 6).

Why?

Another way to remember this formula is to understand where it comes from. When reflecting over the y-axis, a point goes from the top 2 quadrants to the bottom 2 or vice versa. This means that the value is moving vertically. During vertical shifts, there is a change in the y-value. Additionally, because the x-axis is the seperation between negative and positive y-values, the y-value changes signs.

Answer:

yes,you are finding the probalitiy of exactly 5 not

being broken

Answer:

2x^2 (4x^2-x-9)

Step-by-step explanation:

8x^4-4x^3-18x^2

2x^2 (4x^2-x-9)

The fuse with a rating of 5 horsepower would be able to carry 8 number of 5/8 horsepower motors.

An equation is an expression that shows the relationship between two or more numbers and variables.

A certain circuit is properly fused for a 5-horsepower motor. The number of motor, if several 5/8 horsepower motors is used is given by:

Number of motors = 5 hp ÷ (5/8 hp) = 8 motors

The fuse with a rating of 5 horsepower would be able to carry 8 number of 5/8 horsepower motors.

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Using the cosine and tangent ratios:

value of x = 9/2

value of y = 9√3

Cosine ratio is cos ∅ = adjacent/hypotenuse

Tangent ratio is tan ∅ = opposite/adjacent

Find x using the cosine ratio:

cos 60 = x/9

x = (cos 60)(9)

x = (1/2)(9) [cos 60 = 1/2]

x = 9/2

Find y using the tangent ratio:

tan 60 = y/9

y = (tan 60)(9)

y = (√3)(9)

y = 9√3

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Answer:

[tex]||\overrightarrow{v}||\approx14.64[/tex]

Step-by-step explanation:

The magnitude of a vector [tex]\displaystyle \overrightarrow{v}=\langle x,y\rangle[/tex] is [tex]||\overrightarrow{v}||=\sqrt{x^2+y^2}[/tex], which essentially describes the length of the vector itself between the initial and terminal points:

[tex]||\overrightarrow{v}||=\sqrt{x^2+y^2}\\\\||\overrightarrow{v}||=\sqrt{(10.5)^2+(10.2)^2}\\\\||\overrightarrow{v}||=\sqrt{110.25+104.04}\\\\||\overrightarrow{v}||=\sqrt{214.29}\\\\||\overrightarrow{v}||\approx14.64[/tex]

Answer:

-252

Step-by-step explanation:

assuming that 313, 307, and 301 are the first 3 terms..

By these three numbers we can conclude that the rule is -6

(313 - x = 307, 313 - 307 = 6.. x = 6. To check this we do the same thing but with 307 and 301. 307 - x = 301, 307 - 301 = 6, 6 = x)

We find the 42nd term by multiplying our rule by the term number (42)

 -6(42) = -252 

Remember that a negative times a positive is a negative, but a negative times a negative is positive. 

The 42nd term of an arithmetic sequence is 72.

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given, the sequence is an arithmetic sequence.

a₁ = 313

a₃ = 301 so n= 3

Remember that,

aₙ= a₁ + (n-1)d

aₙ=a₁+(n−1)d

301 = 313 + (3 -1)d

301 = 313 + (2d)

301 - 313 = 2d

-12 = 2d

d = -6

So to find a₄₂:

Then, use the same formula for n = 42

a₄₂ = 313 + (42 - 1) (-6)

a₄₂ = 313 - 246

a₄₂ = 72

Therefore, 72 is the 42nd term of an arithmetic sequence.

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Answer:

the answer for first square is 18

The equation of the function g(x) is g(x) =  -x² + 4 after applying the transformation.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The equation of the function f(x) = x² - 1

The equation of the function g(x) = -x² + 4

Let f(x) is the parent function.

To get the equation of the function g(x):

Applying transformation to function f(x)

f(x) → f(x) + 5 (function will shift up side by 5 units)

F(x) = x² - 1 + 5

F(x) = x² + 4

F(x) → -x²  (funtion will reflect about the line y = 4)

g(x) =  -x² + 4

Thus, the equation of the function g(x) is g(x) =  -x² + 4 after applying the transformation.

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Answer: The graphs below have the same shape. The equation of the blue graph is f(x)=x^2. Which of these is the equation of the red graph, g(x)

Step-by-step explanation:

The equation of the blue graph is,

⇒ G (x) = (x + 5)³

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

We have to given that;

The equation of the red graph is

⇒ F(x) = x³

Now, The graph of blue line is 5 units left to the graph of red graph.

Hence, The equation of the blue graph is,

⇒ G (x) = (x + 5)³

Thus, The equation of the blue graph is,

⇒ G (x) = (x + 5)³

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Answer:

[tex]-\frac{1}{128}[/tex]

Step-by-step explanation:

1) Identify the type of sequence this is; whether it is geometric progression, quadratic sequence or linear sequence.

= Geometric progression

2) Find the [tex]n^{th}[/tex] term of this sequence. Every sequence of geometric progression is written in [tex]u_{n} = u_{1} * r^{n-1}[/tex] form, where [tex]u_{1}[/tex] is the first term of the sequence and [tex]r[/tex] is the common ratio. To find the [tex]n^{th}[/tex] term of this sequence, we need to find the common ratio ([tex]r[/tex]) first.

[tex]r = \frac{u_{2}}{u_{1}}[/tex]

[tex]r = \frac{-32}{64}[/tex]

[tex]r = -\frac{1}{2}[/tex]

2.1) Write it in [tex]u_{n} = u_{1} * r^{n-1}[/tex] form.

[tex]u_{n} = 64 * (-\frac{1}{2} )^{n-1}[/tex]

3) Find the [tex]14^{th}[/tex] term by substituting 14 into the [tex]n[/tex]'s.

[tex]u_{14} = 64 * (-\frac{1}{2} )^{14-1}[/tex]

[tex]u_{14} = 64 * (-\frac{1}{2} )^{13}[/tex]

[tex]u_{14} = 64 * -\frac{1}{8192}\\u_{14} = -\frac{1}{128}[/tex]

Answer:

pythagorean theorem

Step-by-step explanation:

Answer:

160

sorry if this is wrong

The mode for this question is 0

In a set of numbers, the mode is the number that occurs most often. In other words, it measures how frequently a particular number occurs within a set of numbers. It is a type of average, like its counterparts, the median and mean.

To find the mode of a set of numbers,

Answer:

f(x) has a minimum value of -10.

Step-by-step explanation:

It will have a minimum value because the coefficient of x^2 is positive.

To find its value we convert to vertex form:

f(x) = 4x^2 - 16x + 6

     = 4(x^2 - 4x) + 6

      = 4[(x - 2)^2 - 4] + 6

      = 4(x - 2)^2 - 16 + 6

      = 4(x - 2)^2 - 10.

So the minimum value is -10.

The attached diagram represents the required line plot

From the given table, we have the following frequency table:

Minutes spent           Frequency

25                                     1

25 1/2                                2

26                                     1

27 1/2                                 1

27 3/4                                1

28 1/4                                1

28 1/2                                2

29                                     1

Total                                10

Using the above frequency table, we can now plot the line plot

See attachment for the line plot

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The total number of chairs in the eight rows of the conference hall is; 144 chairs.

From the task content;

It follows that the first row contained 11 chairs and each successive row has 2 more chairs. It therefore follows from the sum of terms for an arithmetic progression that the eight rows contain;

Total number of chairs = (8/2) × (2(11) + 7(2))

S = 4 × 36 = 144.

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Answer:

A

Step-by-step explanation:

Given

Solving

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve it ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} = \dfrac{9}{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \sqrt{ \dfrac{9}{4} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{ \sqrt{9} }{ \sqrt{4} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{3}{2} [/tex]

So, the correct choice is A

Step-by-step explanation:

[tex] = 10(1 - 7k) + 8(k + 9)[/tex]

Sort the expression in descending order....

[tex] = 10( - 7k + 1) + 8( k + 9)[/tex]

Now multiply....

[tex] = - 70k + 10 + 8k + 72[/tex]

Organize the similar terms...

[tex] = - 70k + 8k + 10 + 72[/tex]

[tex] = - 62k + 82[/tex]

hope it helped !!!

Answer:

441,000 dollars after 12 years

Answer:

36,000

Step-by-step explanation:

36,000 plus the 10,500

In the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.

Water is released from the earth when it is squeezed or compacted by some force. As a further stage, the stress in the soil is removed, allowing the soil sample to expand back to its original size.

The soil will try to reclaim some of the stress it has lost after the stress has been released. Rebound is the word for this procedure.

We have a statement:

The rail of the table can be considered which of the following when making a bank shot:

The answer is a rebound line.

As the definition of the rebound line, the table's rail can be used as a rebound line.

Thus, in the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.

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Answer:

The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of the equation:

3y=x-2 ..(1)

y=-2x+4  ...(2)

From the equation (2) take the value of y and plug in the equation (1)

3(-2x+4) = x -2

-6x + 12 = x - 2

7x = 14

x = 14/7

x = 2

Plug this value in the equation (2)

y = -2(2) + 4

y = 0

Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

Step-by-step explanation:

Answer:

34.6

Step-by-step explanation:

1) tan(38°)=27/x, then

2) x=27/(tan38°);

x=27/0.78129≈34.558=34.6

Answer:

12X +3y =12.....equation 1

-6x +y = -26....equation 2

putting the value

in equation 2 multiply by 2

12x +3y =12

-12x +2y = -52

____________

5y = -40

y = -40%5

y = -8

putting the value of y in equation 1

12x + 3y = 12

12x + 3× -8 =12

12x -24 =12

12x =12 + 24

12x =36

x =36%12

x=3

Check the picture below.