Write the equation for a circle centered at the origin with x-intercepts of (-9,0) and (9,0).use ^2 for squared, ^3 for cubed,

The Law of Sines says that for a given triangle, the ratio between the sine of an angle and the length of the opposite side is the same for all three angles in a triangle. the sine values of all three internal angles will be the samethe sine values of all three internal angles will be proportional to each otherthe ratio between the sine of the angle and the opposite side will match for all three internal anglesthe sine values of all three angles will be different

In a triangle, we have three angles and three sides. The Law of Sines says that for any triangle, the ratio between the sine of an angle and the length of the opposite side will be the same for all three angles. In other words, the sine values of each angle are proportional to the length of the opposite side.

To put this in mathematical terms, let's consider a triangle with angles A, B, and C, and sides a, b, and c respectively. The Law of Sines can be written as:

sin(A)/a = sin(B)/b = sin(C)/c

This means that if we know the length of any two sides and the measure of the angle opposite one of those sides, we can use the Law of Sines to find the measure of the other angles and sides.

To know more about law of sine here

https://brainly.com/question/17289163

#SPJ4

(a) To approximate P(15 < ΣXi < 22), we can use the Central Limit Theorem (CLT) since we have a large enough sample size (n = 30) and the mean and variance of the Poisson distribution are both finite.

First, we need to find the mean and variance of the sample mean, which is also the mean and variance of the Poisson distribution:

μ = λ = 2/3

σ^2 = λ = 2/3

Next, we can standardize the random variable Z = (ΣXi - nμ) / sqrt(nσ^2) to have a standard normal distribution:

Z = (ΣXi - 30(2/3)) / sqrt(30(2/3)) = (ΣXi - 20) / sqrt(20)

Then, we can use a standard normal table or calculator to find the probability:

P(15 < ΣXi < 22) ≈ P(-2.74 < Z < -1.77) ≈ 0.038

Therefore, the approximate probability is 0.038.

(b) To approximate P(21 < ΣXi < 27), we can use the same method with the CLT.

First, we need to find the mean and variance of the sample mean:

μ = λ = 2/3

σ^2 = λ = 2/3

Next, we can standardize the random variable Z = (ΣXi - nμ) / sqrt(nσ^2) to have a standard normal distribution:

Z = (ΣXi - 30(2/3)) / sqrt(30(2/3)) = (ΣXi - 20) / sqrt(20)

Then, we can use a standard normal table or calculator to find the probability:

P(21 < ΣXi < 27) ≈ P(-0.68 < Z < 0.68) ≈ 0.495

Therefore, the approximate probability is 0.495.

Answer:

$594.03

Step-by-step explanation:

Using the exponential function;

A = Pe^-rt

Principal = $960

Rate r = 12% = 0.12

Time t = 4years

Substitute

A = 960e^-(0.12*)*4

A = 960e^-0.48

A = 960(0.61878)

A = 594.03

HEnce the worth after 4years will be $594.03

m mean slope in parallel lines and it is always same in two parallel lines.

Given:

Linear equations are generally described by the slope-intercept

represented by the equation y = mx+b

where m = slope

b = y-intercept.

In parallel lines:

Slope is always same means that two parallel lines have same slopes because those are not intersect at any point.

Example:

y = 3x + 4

here slope m = 3

The parallel line to this equation is also have the same slope.

Learn more about the parallel lines here:

https://brainly.com/question/16701300

#SPJ4

The required answer are x = 9 and y = 9.

To find the two positive real numbers,  x and y.  the sum of the first number squared and the second number is 108, so we can write the equation as x^2 + y = 108.

To find the maximum product,  the AM-GM inequality, which states that for any two positive real numbers x and y, their product xy is maximum when x = y.

Using this information,  substitute y for x in the equation x^2 + y = 108. This gives us x^2 + x = 108.

Now, we can solve this quadratic equation to find the value of x.

Rearranging the equation, we have x^2 + x - 108 = 0.

Factoring the equation,  (x + 12)(x - 9) = 0.  two possible values for x:

x = -12 or x = 9.

Since , for positive real numbers,  x = -12.

Therefore, the two positive real numbers that satisfy the given conditions are x = 9 and y = 9.

To know about equation . To click the link.

https://brainly.com/question/24169758.

#SPJ11

Answer:

45 students, H

Step-by-step explanation:

225 / 5 = 45

Answer:H

Step-by-step explanation:

1 Pizza for every 5 students

225 students

5:225

_____ = 45

 5

Answer:

7

Step-by-step explanation:

The length of the arc can be calculated via a simple proportion:

2 pi r : 360° = x : 45°

Where r is the radius of the circumference and x the length of the arc we want to know. Isolating the x:

x = (2 pi r : 360) * 45 = (2 pi * 9 : 180) * 45 = 18 pi : 360 * 45 = 18pi : 8 = 7

a) The symbolic notation for the implication is "p → q" where p represents "Next week's football game being at home" and q represents "Me attending the game."

b) The symbolic notation for the implication is "p → q" where p represents "A student attending class and participating" and q represents "Doing well in CSE 2321."

a) Propositions: p: "Next week's football game being at home", q: "Me attending the game."

Symbolic notation for the implication: p → q

Symbolic notation for the inverse: ¬p → ¬q

English interpretation of the inverse: If next week's football game is not at home, then I will not attend the game. This means that if the game is not held at home, I will not go to the game.

b) Propositions: p: "A student attending class and participating", q: "Doing well in CSE 2321."

Symbolic notation for the implication: p → q

Symbolic notation for the inverse: ¬p → ¬q

English interpretation of the inverse: If a student does not attend class and participate, then they will not do well in CSE 2321. This implies that if a student fails to attend class and participate, they will not achieve success in CSE 2321.

In both cases, the symbolic notation for the implication represents the original statement, while the symbolic notation for the inverse represents the negation of the original statement in a logically equivalent form. The English interpretations of the inverses maintain the structure and meaning of the original sentences.

To know more about symbolic notation refer here:

https://brainly.com/question/30935928

#SPJ11

Answer:

B) (x-3)^2=21

Step-by-step explanation:

Answer: The actual height of the house is 17 feet.

Step-by-step explanation:

The actual height of the house can be found by multiplying the model's height (4.25 inches) by the scale factor.

4.25 inches * 4 (3 feet/1/4 inch) = 17 feet.

So the actual height of the house is 17 feet.

Answer:

\( \frac{d}{t} = s\)

Step-by-step explanation:

d= the distance walked by Tom

t=the time he took to walk the distance

Please mark me as The brainlist

Statistical significance refers to the likelihood that the association between two variables is not due to chance alone. In other words, it is a measure of the probability that the observed relationship between two variables is real and not just a result of random variation or sampling error.

When analyzing data, researchers often use statistical tests to determine whether there is a significant association between two variables. A p-value is calculated, which represents the probability that the observed relationship between the variables is due to chance. If the p-value is less than a predetermined threshold (usually 0.05), the results are considered statistically significant, and the researchers can conclude that there is a real association between the variables. It's important to note that statistical significance does not necessarily imply practical significance. Just because a relationship is statistically significant does not mean that it is important or meaningful in real-world terms. Additionally, statistical significance only tells us about the strength of the relationship between two variables, not about causation or directionality. Therefore, it is always important to interpret statistical significance in the broader context of the research question and study design.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

The equation to determine the length and width of the rug is

28 = w² + 12w

Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.

What is a rectangle?

Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We are given a rectangular rug with an area of 28 square feet.

Also, the rug is 12 feet longer than it is wide.

So,

Let 'l' be the length of the rug and 'w' be the width of the rug

As given, Length is 12 feet longer than its width

Therefore, l = w + 12

We know Area of rectangle = Length * Width and area is given to be 28 square feet.

So,

⇒28 = (w + 12)w

⇒28 = w² + 12w

Hence, the equation to determine the length and width of the rug is

28 = w² + 12w.

Learn more about rectangle from the given link

https://brainly.com/question/25292087

#SPJ1

Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.

Create an equation to determine the length and the width of the rug.

Answer:

2/5

Step-by-step explanation:

6/10 simplified to 2/5

Please make me brainleist i need to level up

As the x-values go to either positive or negative infinity, the function decreases towards negative infinity.

Step 1: Identify the degree and leading coefficient.
In f(x) = -x² - 1, the degree is 2 (the highest power of x), and the leading coefficient is -1.
Step 2: Determine the end behavior based on the degree and leading coefficient.
Since the degree is even (2) and the leading coefficient is negative (-1), we know that both ends of the graph will point in the same direction.

Step 3: Identify the specific end behavior.
Because the leading coefficient is negative, the graph of the function will open downward. As x approaches positive infinity, f(x) will decrease towards negative infinity. Similarly, as x approaches negative infinity, f(x) will also decrease towards negative infinity.

Step 4: Write the end behavior in a concise format.
The end behavior of f(x) = -x² - 1 can be written as:
As x → ±∞, f(x) → -∞.
In summary, the function f(x) = -x² - 1 has a downward-opening parabola due to its even degree and negative leading coefficient.

You can read more about negative infinity at https://brainly.com/question/30096822

#SPJ11

The expression that represents how much more Elena spent is $3.2 + p

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

The variable p represents the price, in dollars, per pound of cherries.

Elena buys a watermelon for $ 6.35 and 5 pounds of cherries.

So, the price of the cherries bought by Elena will be = 5*p

Then the total amount spent by Elena during her purchase of fresh fruits is:

$6.35 + 5*p

On the other hand, Tania buys a pineapple for $ 3.15 and 4 pounds of cherries. So, the price of the cherries bought by Tania will be 4*p

Therefore, the total amount spent by Tania during her purchase of fresh fruits is:

$3.15 + 4*p

You want to determine an expression to represent how much more Elena spent. That is, you want to determine the difference between the money spent by Elena and the money spent by Tania, which represents how much more Elena spent:

Total amount spent by Elena on fresh fruits - Total amount spent by Tania on fresh fruits

$6.35 + 5*p - ($3.15 + 4*p)

Solving:

$6.35 + 5*p - $3.15 - 4*p

($6.35 - $3.15) + (5*p - 4*p)

$3.2 + p

The expression that represents how much more Elena spent is $3.2 + p

To learn more on Expression click:

brainly.com/question/14083225

#SPJ9

Answer:

$2193.75

Step-by-step explanation:

9 times 13

times 18.75

Answer:

No

Step-by-step explanation:

the standard form is x^2 +2x+6

A stochastic process X(t) is called a martingale if the expected value of X(t) given all information available up to and including time s is equal to the value of X(s).

Thus, to show that the process X(t):=e^(t/2)cos(W(t)), 0 ≤ t ≤ T is a martingale w.r.t. any filtration for Brownian motion, we need to prove that E(X(t)|F_s) = X(s), where F_s is the sigma-algebra of all events up to time s.

As X(t) is of the form e^(t/2)cos(W(t)), we can use Itô's lemma to obtain the differential form:dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt

Taking the expectation on both sides of this equation gives:E(dX) = E(e^(t/2)cos(W(t))dW) - 1/2 E(e^(t/2)sin(W(t))dt)Now, as E(dW) = 0 and E(dW^2) = dt, the first term of the right-hand side vanishes.

For the second term, we can use the fact that sin(W(t)) is independent of F_s and therefore can be taken outside the conditional expectation:

E(dX) = - 1/2 E(e^(t/2)sin(W(t)))dt = 0Since dX is zero-mean, it follows that X(t) is a martingale w.r.t. any filtration for Brownian motion.

Now, let's represent X(t) as an Itô process on the interval [0,T]. Applying Itô's lemma to X(t) gives:

dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt= dM + 1/2 e^(t/2)sin(W(t))dt

where M is a martingale with M(0) = 0.

Thus, X(t) can be represented as an Itô process on [0,T] of the form:

X(t) = M(t) + ∫₀ᵗ 1/2 e^(s/2)sin(W(s))ds

Hence, we have shown that X(t) is a martingale w.r.t. any filtration for Brownian motion and represented it as an Itô process on any time interval [0,T], T > 0.

To know more about martingale visit:
brainly.com/question/32735198

#SPJ11

Answer:

6/12 or 1/2 or 50% or 0.5

Step-by-step explanation:

You have two 6-sided dice, and there are 3 odd numbers on each.

So, you put 6 on top, (the total number of odd outcomes) and 12 on the bottom. (12 total outcomes for both dice.) This simplifies to 1/2 or 50% or .5.

Answer:

-49z^5

Step-by-step explanation:

(−7z^ 4 )(7z)

Multiply the numbers together

-7*7 = -49

Add the exponents

z^4 * z = z^4  * z^1 = z^(4+1) = z^5

Put back together

-49z^5

\(i \hookrightarrow \mathrm{AnsweR} \hookleftarrow i\)

First option is the most suitable option, which says that a reflection of triangle A is made across the y - axis and then it is dragged down .

Answer:a reflection across the y-axis and then a reflection across the x-axis

Step-by-step explanation:

Jeff does not have any money left.

Jeff originally had $20. He spent 18 1/8 of his money on lunch and 25 2/5 of his money at the movies. To find out how much money Jeff has left, we need to subtract the amount he spent from the original amount.

First, we need to convert the fractions to decimals so we can easily subtract them from the original amount. 18 1/8 = 18.125 25 2/5 = 25.4

Now we can subtract these amounts from the original amount: $20 - $18.125 - $25.4 = -$23.525

Since Jeff cannot have a negative amount of money, this means that he does not have enough money to cover the cost of both lunch and the movies. Therefore, Jeff does not have any money left.

Learn more about remaining money at https://brainly.com/question/17925574.

#SPJ11

To create and solve one-variable equations in real-world situations, you can follow these steps:

1. Identify the problem and the unknown quantity. Determine what you are trying to find and what information you have been given.

2. Create an equation. Use the information given in the problem to create an equation that relates the unknown quantity to the other known quantities. Make sure to use the appropriate mathematical operations and to include any relevant constants or coefficients.

3. Solve the equation. Use the appropriate mathematical techniques to solve the equation for the unknown quantity. This may involve performing algebraic operations, taking roots, or using other techniques depending on the complexity of the equation.

4. Check your answer. Make sure that your answer makes sense in the context of the problem and that it satisfies the original equation. You should also double-check your work to make sure that you haven't made any mistakes.

5. Write the final solution. Present your solution in a clear and concise manner, stating the final value of the unknown quantity and any necessary Units.

these are the following steps to create and solve one variable equation

To know more about equations visit- https://brainly.com/question/14963185

#SPJ4

Answer:

72,000 yards

Step-by-step explanation:

The scale factor can be found by doing:

\(240 \div 4 = 60\)

This means that 60 is the scale factor. You can apply the scale factor to the length of the rectangular building, meaning that the length of the actual building is:

\(5 \cdot 60 = 300\) yards

So, if the building is 240 yards wide, and 300 yards long. You can find the area of the actual building just like any other rectangle using:

\(A = l \cdot w\)

(Area = length * width)

So, the final answer is:

\(A = 300 \cdot 240\\ A= 72,000\)

This means that the area of the actual building is 72,000 yards.

The equations of the parabola are y = (x - 1)(x - 7), y = -(x + 1)(x - 5) and y = (x + 8)(x + 4)

Other properties are below

The equation of a parabola in factored form is represented as

y = a(x - x₁)(x - x₂)

Where

x₁ and x₂ are the x-intercepts of the function

Using the above as a guide, we have the following:

Function 1

y = a(x - 1)(x - 7)

Using the points in the graph, we have

a(4 - 1)(4 - 7) = -9

a = 1

So, the function is

y = (x - 1)(x - 7)

Set x = 0 for the y-intercept

y-intercept = (0 - 1)(0 - 7)

y-intercept = (0, 7)

The x-intercepts are (1, 0) and (7, 0)

Lastly the vertex is (4, -9)

Function 2

y = a(x + 1)(x - 5)

Using the points in the graph, we have

a(2 + 1)(2 - 5) = 9

a = -1

So, the function is

y = -(x + 1)(x - 5)

Set x = 0 for the y-intercept

y-intercept = -(0 + 1)(0 - 5)

y-intercept = (0, 5)

The x-intercepts are (-1, 0) and (5, 0)

Lastly the vertex is (2, 9)

Function 3

y = a(x + 8)(x + 4)

Using the points in the graph, we have

a(-6 + 8)(-6 + 4) = -4

a = 1

So, the function is

y = (x + 8)(x + 4)

Set x = 0 for the y-intercept

y-intercept = (0 + 8)(0 + 4)

y-intercept = (0, 32)

The x-intercepts are (-8, 0) and (-4, 0)

Lastly the vertex is (-6, -4)

Read more about quadratic functions at

https://brainly.com/question/25841119

#SPJ1

Answer:

kk

Step-by-step explanation:

Step-by-step explanation:

FÓRMULA:

\(144 m^{2}\) = b(8 m)

SE DESPEJA

b = \(144 m^{2}\)/8 m = 18 m

Answer:

Step-by-step explanation:

3^3 * (x^2)^3 * (y^2)^3

27x^6y^6

Answer:

99-7a^2=36 when a =3

Step-by-step explanation:

99-7a²

99-7(3)²

99-7(9)

99-63

36