express as a trinomial(2x+9)(3x-5)​

Answer:

x = 117°

Step-by-step explanation:

The right vertex of the triangle and 101° are a corresponding pair, thus

vertex = 180° - 101° = 79° The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , thus

x = 38° + 79° = 117°

The correlation between x and y is 0.5. This indicates a positive correlation, meaning that as values of x increase, so do the values of y.

The correlation coefficient (denoted by ρ) between x and y can be calculated as:

ρ = covariance(x,y) / (standard deviation of x * standard deviation of y)

A measure of the link between two random variables and how much they fluctuate together is called covariance. Alternately, we may say that it establishes the relationship between the two variables' changes, i.e., that a change in one variable is equivalent to a change in the other. When the variables are translated linearly, a function has the property of preserving its shape.

We are given that the covariance between x and y is 25, the standard deviation of x is 10, and the standard deviation of y is 5. Substituting these values into the formula, we get:

ρ = 25 / (10 * 5) = 0.5

For more such questions on Covariance

https://brainly.com/question/30611305

#SPJ4

k = 0 to 399 By calculating this summation, we will obtain the probability that Paul goes broke. To find the probability that Paul goes broke when Peter has a 2/3 probability of winning each game, we can use the concept of probability, game, and bet in our explanation.

First, we need to determine the probability of Paul winning a game, which can be found by subtracting Peter's winning probability from 1:

Probability of Paul winning = 1 - Probability of Peter winning = 1 - 2/3 = 1/3

Now, let's denote the number of games required for one of them to go broke as 'n'. Since they each start with $400, the total number of games would be n = 400 + 400 = 800.

We will use the binomial probability formula to calculate the probability of Paul going broke after 'n' games:

P(Paul goes broke) = (n! / (k!(n-k)!)) * (p^k) * (q^(n-k))

Here, n is the total number of games (800), k is the number of games Paul wins, p is the probability of Paul winning (1/3), and q is the probability of Peter winning (2/3).

To find the probability of Paul going broke, we need to calculate the probability of Paul winning fewer than 400 games out of 800:

P(Paul goes broke) = Σ [P(Paul wins 'k' games)] for k = 0 to 399

By calculating this summation, we will obtain the probability that Paul goes broke.

Learn more about probability here:

brainly.com/question/27342429

#SPJ11

The center of rotation for the polygon p is shown as the red point in the attached graph below.

A plane figure spins around a point known as the center of rotation. Throughout the rotation, this point remains stationary.

To learn more about center of rotation visit:

https://brainly.com/question/2057686

#SPJ9

Answer:

m<ABC=81°

m<FEC=90°

Step-by-step explanation:

M<ABC=40°30’x2=80°60’=81°

m<FEC=90°

Answer:

2.08 this is answer

Step-by-step explanation:

you are really struggling with such simple things ? you only need to type it into your calculator, and you have your answer in 2 seconds.

instead you are posting the question here, then you wait, if there is an answer, then you copy the answer back to your work ...

so, please tell me, what is your real problem with these questions ?

there are 52 weeks in a year.

instead of 2 bottles of $15 each she now only buys 1 bottle of $15 per week.

she saves $15 per week (one bottle instead of 2).

so, in a year she saves

15×52 = $780

Step-by-step explanation:

pls type the question

properly and I swear I will solve it

Answer:

60 po

Step-by-step explanation:

kase na try ko na ehh

Answer:

The correct answer is 15 kilometers.

Step-by-step explanation:

We know that your bike is 30 kilometers per every 2 hours. However, we need to find the speed per hour.

In order to find this quantity, we simply need to divide 30 kilometers by 2.

30 ÷ 2 = 15

Therefore, the correct answer is 15 kilometers.

Hope this helps! :D

Answer:It was not until the eighteenth century that mathematician Leonard Euler (1707-1783) discovered a relationship between the three classical triangle centers.

Step-by-step explanation:

Inequality involving the sum of the angles of a triangle i.e,

\(\alpha +\beta +y > \pi\)

The area of a spherical triangle ABC with angles a, B, Y are

AABC = (\(\alpha\) + \(\beta\)+ Y- \(\pi\) ) \(R^{2}\)

The AA'B'C' = AABC (by sss) as we discuss move.

We just need to demonstrate that IACI = IAC' and C'L IBCI = 1BC '1 will proceed similarly.

since AC & ATC resulted in the same.

the middle.

We now have external proof that the surface and their mon- are real. As of (ABCA) and LA'B'C) cover. A overlapping sphere with appropriate angles for each letter of the alphabet Las offered my first figure of $ segments that are completely separate from one another, so we may write -

( AABC A ) + ( A A'B'C' )A + ( An -x ) + ( Ax-B ) + ( An-V ) = \(4\pi R^{2}\)

2 ( A ABC A ) =\(4\pi R^{2}\) - 2 ( \(\pi -\alpha\) ) \(R^{2}\)- 2 ( \(\pi -\beta\))\(R^{2}\)-2(\(\pi -Y\))\(R^{2}\)

AABCA = \((\alpha +\beta +Y-\pi )R^{2}\)

To learn more about triangle click here :

brainly.com/question/2773823

#SPJ4

Answer:

The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 is 5/7

Step-by-step explanation:

The given numbers are;

0, 1/3, 1/2, 3/5, and 2/3

The number sequence is formed adding \(\dfrac{1}{\left (\dfrac{n^2 + n}{2} \right ) }\) to each (n - 1)th term to get the nth term number in the sequence, with the first term equal to 0, as follows;

For the 2nd term, the (n - 1)th term is 0, and n = 2, gives;

The

\(0 +\dfrac{1}{\left (\dfrac{2^2 + 2}{2} \right ) } = 0 + \dfrac{1}{3} = \dfrac{1}{3}\)

For the 3rd term, the (n - 1)th term is 1/3, and n = 3, gives;

\(\dfrac{1}{3} +\dfrac{1}{\left (\dfrac{3^2 + 3}{2} \right ) } = \dfrac{1}{3} + \dfrac{1}{6} = \dfrac{1}{2}\)

For the 4th term, the (n - 1)th term is 1/2, and n = 4, gives;

\(\dfrac{1}{2} +\dfrac{1}{\left (\dfrac{4^2 + 4}{2} \right ) } = \dfrac{1}{2} + \dfrac{1}{10} = \dfrac{3}{5}\)

For the 5th term, the (n - 1)th term is 3/5, and n = 5, gives;

\(\dfrac{3}{5} +\dfrac{1}{\left (\dfrac{5^2 + 5}{2} \right ) } = \dfrac{3}{5} + \dfrac{1}{15} = \dfrac{2}{3}\)

For the next or 6th term, the (n - 1)th term is 2/3, and n = 6, gives;

\(\dfrac{2}{3} +\dfrac{1}{\left (\dfrac{6^2 + 6}{2} \right ) } = \dfrac{2}{3} + \dfrac{1}{21} = \dfrac{15}{21} = \dfrac{5}{7}\)

The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 = 5/7.

Answer:

20/27

Step-by-step explanation:

Answer:

C. The late fee per day for the book

Step-by-step explanation:

“ The library charged a fixed rental for the book and a late fee for every day the book was overdue.”

Answer:

C

Step-by-step explanation:

the problem says there is a late fee for every day the book is overdue, 'x' represents the days, so multiplying the two together filling in 'x' would give you the total late fee amount.

Therefore, when Savannah is 42 feet above the ferris wheel's horizontal diameter, her angle of rotation is approximately 68.6 degrees.

Given by the question.

Let's first draw a diagram to visualize the situation.

      *

    *    *

  *        * <-- Ferris wheel at 3 o'clock position

 *          *

*            * <-- Highest point

*______________*______

      62 ft

The Ferris wheel is a circle with radius 62 feet, and Savannah is sitting in a bucket that moves along the circle. When she is at the highest point, she is 62 feet away from the center of the circle, and when she is on the horizontal diameter, she is 62 feet - 42 feet = 20 feet away from the center of the circle.

To find Savannah's angle of rotation, we can use the cosine function.

cos(theta) = adjacent / hypotenuse

In this case, the adjacent side is 20 feet, and the hypotenuse is 62 feet.

cos(theta) = 20/62

To solve for theta, we need to take the inverse cosine of both sides.

theta = cos^-1(20/62)

Using a calculator, we get:

theta = 68.6 degrees

To learn more about rotation:

https://brainly.com/question/1571997

#SPJ1

Answer and explanation:

Given: Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years:  

Number of years 1 2 3

Option 1 (amount in dollars) 1100 1200 1300

Option 2 (amount in dollars) 1100 1210 1331  

To find:

Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2?  

Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years.  

Part C: Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1?

Solution:

Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.  

Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.  

Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.

Part A:

In the case of option 1, the linear function can be used to describe the value of the investment after a fixed number of years. This is because, in option one, the amount increases by a fixed amount every year.

In the case of option 2, the exponential function can be used to describe the value of the investment after a fixed number of years. This is because, in option 2, the amount increase is higher than last year.

Part B:

For option 1, the function is

For option 2, the function is

Here, x is the increase in amount every consecutive year.

Part C:

After 20 years, the amount from option 1 would be 3000 and the amount from option 2 would be 4900. Thus, there is a difference between 1900.

Therefore,

Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.  

Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.  

Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.

Hope this helps

Answer:

x = 0 satisfies the equation

Step-by-step explanation:

Here, we want to get the value of x that satisfies the equation

4(2.5)^2x = 4

divide both sides by 4

So, we have

2.5^2x = 1

2.5^2x = 2.5^0

Since bases area equal, we equate powers

2x = 0

x = 0/2

x = 0

Answer:

x = 5 y =-2

Step-by-step explanation:

You can substitute the 4y in,
7x - (-3-x) = 43
7x + 3 + x = 43
8x + 3 = 43
8x = 40
x = 5

Then plug the x back into the equation,
4y = -3 - 5
4y = -8
y = -2

Answer:

y= -2 x=5

Step-by-step explanation:

(See attachment below)

Answer:

B

Step-by-step explanation:

We can see that both functions are decreasing in [0,4]

f decreased with 765 against 800 for g

g decreased faster

Answer:

26.2

Step-by-step explanation:

7 + (2x3) 5-6 (9/5)

7 + 6*5-6*1.8

7 + 30-10.8

37 - 10.8

26.2

Answer:

a = 3/1

Step-by-step explanation:

2a = 6

a = 6/2

a = 3/1

...........

Answer:

Step-by-step explanation:

Setting A=45, we see that it is not true. However, you might find the following revealing:

sin2(45+A)=(sin45cosA+cos45sinA)2=12(1+2cosAsinA)

sin2(45−A)=(sin45cosA−cos45sinA)2=12(1−2cosAsinA)

Now, stare.

The Dickey-Fuller test is a statistical test used to determine the presence of a unit root in a time series variable, which indicates the degree of integration of the variable. The null hypothesis of the test is that the variable has a unit root and is non-stationary.

The Dickey-Fuller test calculates a t-statistic based on the coefficient estimate of an autoregressive lagged term in a regression model. If the calculated t-statistic is less than the critical value, the null hypothesis is rejected, indicating that the variable is stationary and does not have a unit root. The augmented Dickey-Fuller (ADF) test extends the Dickey-Fuller test by including additional lagged terms in the regression model. The purpose of adding lagged terms is to capture any potential serial correlation and provide more accurate results. The ADF test allows for testing multiple lags and selecting the appropriate lag length using information criteria such as the Akaike Information Criterion (AIC) or the Schwarz Information Criterion (SIC). By including more lags, the ADF test improves the reliability of the test and provides more robust results. In summary, both the Dickey-Fuller and augmented Dickey-Fuller procedures are used to test for the order of integration of a time series variable. They examine whether the variable exhibits a unit root, indicating non-stationarity. The ADF test, with its inclusion of additional lagged terms, enhances the reliability of the test and allows for the selection of the optimal lag length.

Learn more about the Dickey-Fuller here: brainly.com/question/33545080

#SPJ11

The constant of proportionality is at point (1, k), where k = constant of proportionality.

It can also be found using the ratio, k = y/x.

If variables x and y are in a proportional relationship between each other, then they have a constant of proportionality which is represented as k.

Thus, the coordinates of the constant of proportionality between x and y would be (1, k). This means, the value of k is the number of y units that would require 1 unit of x.

Thus, we can find the value of k by determining the ratio of y to x. Therefore, constant of proportionality, k = y/x.

Learn more about the constant of proportionality on:

https://brainly.com/question/28413384

#SPJ1

The distance between the points (2, −1) and (6, 3) is equal to 5.67 units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represents the data points (coordinates) on a cartesian coordinate.

Substituting the given parameters into the distance formula, we have the following;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(6 - 2)² + (3 - (-1))²]

Distance = √[4² + (3 + 1)²]

Distance = √[4² + 4²]

Distance = √(16 + 16)

Distance = √32

Distance = 5.67 units.

Read more on distance here: brainly.com/question/12470464

#SPJ1

Using Pythagorean Theorem, the length of the line segment from (-3, 10) to (4, -1) is 13 units.

Pythagorean theorem describes the relationship between the sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the two other side.

c² = a² + b²

Let a = vertical distance between the two points

b = horizontal distance between the two points

c = distance between the two points / length of line segment

Hence, c² = (|y₂ - y₁|)² + (|x₂ - x₁|)².

Substitute the values of x and y and solve for c.

c² = (|y₂ - y₁|)² + (|x₂ - x₁|)²

c² = (|-1 - 10|)² + (|4 - -3|)²

c² = (|-11|)² + (|7|)²

c² = 11² + 7²

c² = 121 + 49

c² = 170

c = 13.04

length of line segment ≅ 13 units

Learn more about Pythagorean theorem here: brainly.com/question/9125970

#SPJ4

Answer:

$254

$30 + $14x

Step-by-step explanation:

Jayden:

Guaranteed wage= $30

Tips per table = $14

Number of tables = 16

Total revenue = fixed revenue + variable revenue

Fixed revenue= $30

Variable revenue change with quantity= $14 × number of tables Jayden waits on

Total earnings of Jayden for the day = $30 + $14(16)

= $30 + $224

= $254

When Jayden waits on x number of tables

Total earnings of Jayden for the day = $30 + $14(x)

= $30 + $14x

Where x = number of tables Jayden waits on

Answer:

$254

30 + 14t

Step-by-step explanation: