What Do you means by statics means ?

When the value of x = 1, the value of y will be; 729.

An inverse relationship is one where the value of one parameter decreases as the value of the second parameter increases. It is frequently described as a bad relationship.

In other phrases, an inverse relationship, can be recognized as a negative relationship, is a negative relationship between two variables that moves in the opposite direction.

Now, we know that y varies inversely with the cube of x.

y ∝ 1/x³

Removing inverse, a constant of proportionality will come (say k)

y = k/x³

k = x³y.

When x = 9 then y = 1. Substitute the values to find k.

k = 9³(1)

k = 729

then value of y when x = 1.

y = k/x³ ( put the value of k and x )

y = 729/1³

y = 729

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Answer:

-2

Step-by-step explanation:

Using the same-side interior angles theorem,

\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)

Using vertical angles,

\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)

Answer:

1 quart = 0.95 liters. with this said, we can conclude that 5 quarts equals 4.73 liters

Answer:

4.73176

Step-by-step explanation:

okay so this is the exact decimal but you can just write you answer as 4.73

hope this helps

The horizontal asymptote is y = 0.

What is horizontal asymptote ?

A horizontal asymptote is a straight line that a graph approaches but never touches as the value of x approaches positive or negative infinity. It represents the long-term behavior of the function as x becomes extremely large or small. In other words, it is a boundary that the function approaches as x goes to infinity or negative infinity. The equation of the horizontal asymptote can be determined by analyzing the degree of the numerator and denominator of the rational function.

According to the question:

The horizontal asymptote of f(x) \(= 4x^2 / (2x^3 + 7) is y = 0.\)

To see why, we can use the fact that as x gets very large (positive or negative), the highest power of x in the denominator (2x^3) will dominate the expression, making the entire fraction approach 0. Therefore, the horizontal asymptote is y = 0.

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Answer: Posted in the picture

Step-by-step explanation: -2/5 is to the left since it is the x axis

and -3 is down since it is the y axis, so the answer is the black dot, on the left of the -3.

Hope this helps

And I hope I am right

You flip a coin and roll a die. The table shows the sample space.

1

2 3 4 5 6

Heads(H) H-1 H-2 H-3 H-4H-5H-6

Tails(T) T-1 T-2 T-3 T-4 T-5 T-6

What is the probability of getting a head or a tail and an

even number?

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

In this problem

the size of the sample space is (6+6+6)=18

the size of the event space is equal to (6+6+3)=15

REmember that an even number are (2,4 and 6)

so

the probability is equal to

P=15/18

simplify

P=5/6

therefore

Answer:

  the product of a number and 33

Step-by-step explanation:

The operation "times" is what is used to form the product of two operands.

  "t times 33" is "the product of t and 33"

Step-by-step explanation:

Vertical angles are equal   r = 70 degrees

Function graph that has y- intercept of 3 is g(x) = 3\((\frac{1}{4}) ^{x}\).

y- intercept will be 3 when we will put value of x = 0 and y will be 3 that graph will have y intercept 3

A) h(x) = 5\((2)^{x}\)

when x = 0

Any number with zero power is always 1

h(x) = 5

B) h(x) = 5\((0.5)^{x}\) + 0.5

when x = 0

h(x) = 5 + 0.5

h(x) = 5.5

C) g(x) = 3\((\frac{1}{4}) ^{x}\)

when x = 0

g(x) = 3

Here we get y intercept as 3.

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Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

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Answer:

A

Step-by-step explanation:

Step-by-step explanation:

tan0=opp/adj

where opposite =3,adjacent =x,=70

tan 70=3/x

2.7474=3/x

2.7474x=3

divide both sides by 2.7474

x=3/2.7474

x=1.0919

x=1.10 to 1 d.p

And , the Y's variance is \(V[Y] = E[Y^2] - (E[Y])^2 = 2 - 1^2 = 1.\)To find the mode of Y, we need to find the value of y that maximizes the joint probability density function\(f_X, Y(x,y).\)

To do this, we can fix x to be a particular value and then find the value of y that maximizes \(f_X, Y(x,y).\)

For any fixed x between 0 and 2, the function\(f_X, Y(x,y)\) is maximized at y = 1, since this is the only value of y that depends on x and maximizes the function\(cx^2y.\) Therefore, the mode of Y is 1.

To find the value of c that makes this a valid probability density function, we need to ensure that the integral of \(f_X, Y(x,y)\)over the entire sky-plane is equal to 1. We can set up the integral as follows:

integral from 0 to 2 of (integral from 0 to 2 of cx^2y dy) dx

= integral from 0 to \(2 of [c*x^2/2 * y^2]\)evaluated from 0 to 2 dx

= integral from 0 to 2 of \(c*x^2 x2d\)

= [2c/3 * x^3] evaluated from 0 to 2

= (16c/3)

For this to equal 1, we must have c = 3/16. Therefore, the valid probability density function is:

f_X,Y(x,y) = { (3/16)x^2y, 0 <= x <= 2, 0 <= y <= 2; 0, otherwise }

To find the expected value of Y, we need to integrate Y times the joint probability density function f_X, Y(x,y) over the entire xy-plane:

E[Y] = integral from 0 to 2 of (integral from 0 to 2 of y*f_X, Y(x,y) dy) dx

= integral from 0 to 2 of \([(3/16)*x^2/2 * y^2]\) evaluated from 0 to 2 dx

= integral from 0 to 2 of (3/16)*x^2 dx

= [3/16 * x^3/3] evaluated from 0 to 2

= 1

Therefore, the expected value of Y is 1.

To find the variance of Y, we first need to find the second moment of Y by integrating Y^2 times the joint probability density function f_X, Y(x,y) over the entire xy-plane:

E[Y^2] = integral from 0 to 2 of (integral from 0 to 2 of y^2*f_X, Y(x, y) dy) dx

= integral from \(0 to 2 of [(3/16)*x^2/3 * y^3]\) evaluated from 0 to 2 dx

= integral from \(0 to 2 of (3/8)*x^2 dx\)

= \([3/8 * x^3/3]\) evaluated from 0 to 2

= 2

And , the Y's variance is

\(V[Y] = E[Y^2] - (E[Y])^2 = 2 - 1^2 = 1.\)

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In the context of this problem all the solutions to the polynomial equation is correct because they all make sense.

The given polynomial equation  can be expressed as ;

x³ + 6x² - 40x = 192 and the given solutions can be written as ; x = -8, x = -4, and x = 6

We can test if the solution is the best for the given euation because this will help us to know if these valueas are the solution for the equation

x = -8

[(-8)³ + 6(-8)² - 40(-8)]

= 192

[-512 + 384 + 320]

= 192

x = -4,

[(-4)³ + 6(-4)² - 40(-4)]

[-64 + 96 + 160 ]

= 192

x = 6

[(6)³ + 6(6)² - 40(6) ]

216 + 216 - 240

= 192

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Answer:

Step-by-step explanation:

A,B

x = –8

x = –4

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

A

Step-by-step explanation:

dont have it but its A

Answer:

I really hope this helps :), 68

Answer:

On Ed the answer for this: g(x) =0.5(4)-x

                                            g(x) =1/2(1/4)^x

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A-P-E-X

0.684 and 0.1222... both decimals represent rational numbers.

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.

0.684 is a terminating number, thus rational.

0.1222... is a non terminating repeating decimal, thus rational.

2.71828182845904523536... and 3.141592653589793238... are non terminating, non repeating decimals, thus irrational.

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Answer:

-60

Step-by-step explanation:

-6 √100

We know the square root of 100 is 10 ( 10x10=100), so replace √100 with 10, and then multiply:

-6(10) = -60

Dividing both into this (15 x 32) below.

15=10+5

32=30+2 and both of the equations will give you the result of 4 partial products.

10x30=300

5x30=150

10x2=20

 5x2=10

The first answer of the equation  (9y^2 - 4y-4) (-2y^3 −y + 12) simplifies to -18y^5 + 8y^4 - 9y^3 + 46y^2 - 48y - 16. and the second answer of the equation  (2x - 3)(7x^2 - x + 8) simplifies to 14x^3 - 23x^2 + 19x - 24.

An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operators, such as addition, subtraction, multiplication, and division. It can be a single term or a combination of terms, and it is usually used to represent a quantity that can change or vary.

Algebraic expressions are commonly used in mathematics and science to represent a wide range of concepts, such as distance, speed, force, energy, and more. They can be used to describe real-world situations, as well as to solve mathematical problems and equations.

In an algebraic expression, the variables can represent unknown or changing quantities, and the coefficients can represent constant values or fixed parameters. The mathematical operators determine how the terms in the expression are combined and evaluated.

For example, the expression 2x + 5y represents a combination of two terms, where 2x represents the product of the coefficient 2 and the variable x, and 5y represents the product of the coefficient 5 and the variable y. The addition operator combines the two terms, and the resulting expression represents a sum of two quantities that can vary based on the values of x and y.

To subtract and simplify (9y^2 - 4y-4) (-2y^3 −y + 12), we can use the distributive property and simplify each term:

(9y^2 - 4y - 4) (-2y^3 - y + 12)

= 9y^2(-2y^3) - 4y(-2y^3) - 4(-2y^3) + 9y^2(-y) - 4y(-y) - 4(y) + 9y^2(12) - 4y(12) - 4(12)

= -18y^5 + 8y^4 + 36y^2 - 9y^3 + 4y^2 + 4y + 108y^2 - 48y - 16

= -18y^5 + 8y^4 - 9y^3 + 46y^2 - 48y - 16

Therefore, (9y^2 - 4y-4) (-2y^3 −y + 12) simplifies to -18y^5 + 8y^4 - 9y^3 + 46y^2 - 48y - 16.

To multiply and simplify (2x - 3)(7x^2 - x + 8), we can use the distributive property and simplify each term:

(2x - 3)(7x^2 - x + 8)

= 2x(7x^2) - 3(7x^2) + 2x(-x) - 3(-x) + 2x(8) - 3(8)

= 14x^3 - 21x^2 - 2x^2 + 3x + 16x - 24

= 14x^3 - 23x^2 + 19x - 24

Therefore, (2x - 3)(7x^2 - x + 8) simplifies to 14x^3 - 23x^2 + 19x - 24.

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(A)

Step-by-step explanation:

The meal cost $45.25 so 20% of this for tip is

($45.25)(0.20) = $9.05. Since the tip is split between 4 friends, divide this tip by 4 and each one paid ($9.05/4) = $2.26.