Find the zeros of the function f(x)=log3(x-1)+log3(2x+3)

The speed of the plane relative to the ground if no action is taken by the pilot is 79.5 km/h westward.

Given information: The speed of the plane with respect to still air is 160 km/h.

West wind starts to blow at a constant speed of 80.5 km/h.

Let us consider Vp be the speed of the plane relative to the groundVw be the speed of the wind

So, the speed of the plane with respect to the ground is given by

                         Vp = Vp + VwVp = 160 + (-80.5)

Thus, the speed of the plane relative to the ground if no action is taken by the pilot is 79.5 km/h westward.

Learn more about speed

brainly.com/question/6280317

#SPJ11

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

<95141404393>

The function in the values menu would you use to summarize the data is SUM

Because

I would use the SUM function to figure out how much box office revenue each genre earned. In the pivot table, the SUM function would add the total revenue separately for each genre.

This function, as clear from the name, is used to add all the values provided as arguments and to display the result in the cell-containing function. Argument Type All Numbers Return Type Number. Syntax = SUM(number 1 , number2, ).

The SUM function will sum hardcoded values and numbers that result from formulas. If you need to sum a range and ignore existing subtotals, see the SUBTOTAL function.

To learn more about Excel, visit:

https://brainly.com/question/17161255

#SPJ4

Explanation:

The term angle of depression is defined as the angle from the horizontal line downward to an object. An observer's line of sight would be below the horizontal.

For angle of elevation, an observer's line of sight would be above the horizontal.

According to the diagram shown; The diagram with angle 27degrees models angle of depression while that of angle 25 degrees models an angle of elevation.

Answer:

Step-by-step explanation:

25 × 4.5= 112.5 and that is you answer

Factoring a quadratic in two variables with a leading coefficient of 1 involves finding two binomial factors that, when multiplied, produce the quadratic expression. The factors can be determined by identifying the common factors of the quadratic terms and arranging them appropriately.

To factor a quadratic expression in two variables with a leading coefficient of 1, we need to look for common factors among the terms. The goal is to rewrite the quadratic expression as a product of two binomial factors. For example, if we have the quadratic expression x^2 + 5xy + 6y^2, we can factor it as (x + 2y)(x + 3y) by identifying the common factors and arranging them in the binomial factors.

The process of factoring a quadratic in two variables may involve trial and error, testing different combinations of factors to find the correct factorization. Additionally, factoring methods such as grouping or using the quadratic formula can also be applied depending on the specific quadratic expression.

Learn more about quadratic expression here: brainly.com/question/10025464

#SPJ11

The correct option is the: b The treatments are the organic and traditional fertilizer

Treatments are defined as what we want to compare in the experiment. It can consist of the levels of a single factor, a combination of levels of more than one factor, or of different quantities of an explanatory variable.

Treatments are usually administered to experimental units by 'level', where level implies amount or magnitude. For example, if the experimental units were given 5mg, 10mg, 15mg of a medication, those amounts would be three levels of the treatment.

Therefore, we can conclude that in this question, the treatments are the organic and traditional fertilizer.

Read more about statistics treatments at: https://brainly.com/question/28386316

#SPJ1

Answer:

1.) 5,0,-3, -6,-3,0,5 (use the points for the graph and connect them together)

2.a) (0,9) He is starting at the heighest point of the ramp, its the height of where he starts walking.

b.) (10,4) The point where they both are at the same height, at the same time.

c.) (18,0) This is when he reaches to ground level or to 0 feet after a certain amount of time, 18 seconds.

Answer:

9m^2+17m-9

Step-by-step explanation:

Answer:

where is the photo?

Step-by-step explanation:

The height of the intersection of a line from the bottom of the first to the top of the second is a line from the top of the first to the bottom of the second, and it is 6 m.

In order to find the height of the point where a line from the top of the first to the bottom of the second intersects a line from the bottom of the first to the top of the second if two flagpoles are 10 m and 70 m tall and are 100 m apart, we can use similar triangles.

        The height can be found by calculating the length of the third side of a triangle whose other two sides are the height of the first flagpole and the length between the two flagpoles respectively.

        Let us now assume that a line is drawn from the top of the first flagpole to the bottom of the second flagpole. The point where it intersects with a line drawn from the bottom of the first flagpole to the top of the second flagpole is the point where we are to find the height. The flagpoles are 100 m apart, so the horizontal distance between these two lines is 100 m.

       The height of the first flagpole is 10 m, and the height of the second flagpole is 70 m, respectively.

       The height of the point where these two lines intersect can be found using similar triangles. Since these two lines intersect at right angles, we can use Pythagoras' theorem to find the distance between the two flagpoles.

        This distance is √(100² + 60²) = √10000 + 3600

                                                           = √13600

                                                           ≈ 116.62 m.

         Let x be the height that we are to find. Thus, we have a right triangle where one side is x, and another side is     116.62 - 100 = 16.62. The third side is the difference between the heights of the two flagpoles, which is 60.

       The similar triangles will be:

                          x/10 = (60 + x)/70x

                                  = 7x/6 + 1.7x

                                   = 10.2x

                                x = 6m

                  Therefore, the height of the point where a line from the top of the first to the bottom of the second intersects a line from the bottom of the first to the top of the second is 6 m.

To learn more about The height of the intersection of a line visit: https://brainly.com/question/29079670

#SPJ11

There is a 50% chance that the person selected is female.

Let's assume that there are 50 students in the class and of them, 25 are female and 25 are male.

The probability that the person selected is female will be calculated by the formula P(Female) = 25/50 = 0.5

Therefore, the probability that the person selected is female is 0.5 or 50%. This means that if a person is randomly selected from the front, middle portion of the class, there is a 50% chance that the person selected is female.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ4

Complete question:

What is the gender ratio of the people in the class?

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

Based on data collected by the National Center for Health Statistics and made available to the public in the Sample Adult database (A-5). an estimate of the percentage of adults who have at some point in their life been told they have hypertension is 23.53 percent. If we select a simple random sample of 20 U.S. adults and assume that the probability that each has been told that he or she has hypertension is .24. find the probability that the number of people in the sample who have been told that hypertension will be: a) Exactly three (b) Three or more (c) Fewer than three (d) Between three and seven, inclusive

Solution:

This is a binomial probability distribution. If an adult is selected randomly, the outcome is either he has been told that he has hypertension or he has not been told. The probability of success, p would be that a randomly selected adult, x has been told. Therefore,

p = 0.24

n = 20

a)We want to determine P(x = 3). From the binomial probability distribution calculator,

P(x = 3) = 0.15

b) P(x ≥ 3) = 0.89

c) P(x < 3) = 0.11

d) P(3 ≤ x ≤ 7)

It would be P(x ≤ 7) - P(x ≥ 3)

P(x ≤ 7) = 0.92

Therefore,

P(3 ≤ x ≤ 7) = 0.92 - 0.89 = 0.03

Answer:

I agree.

Step-by-step explanation:

(a - b)² compared to (b - a)²

Work with (b - a)².

(b - a)² =

Factor -1 out of b - a.

= [-1(-b + a)]²

Apply the exponent to the two factors of the multiplication.

= (-1)²(a - b)²

= 1(a - b)²

= (a - b)²

We just proved that (a - b)² = (b - a)².

Selena is correct.

All terms beyond n=7 are zero, we can truncate the series at n=7: i ≈ (0.3/4) + (1/8) + 0 + 0 + 0 + 0 + 0 + 0 = 0.0875. This approximation is accurate to six decimal places.

To approximate the definite integral using a power series, we need to first determine the power series representation of the integrand and then integrate it within the given limits. The integrand in your question seems to have a typo. However, I will provide a general method for solving this type of problem.

For a given function f(x), its power series representation can be written as:

f(x) = Σ (a_n * x^n) from n=0 to infinity

First, find the power series representation of the function you're interested in. Then, integrate the power series term-by-term:

∫(f(x) dx) = ∫(Σ (a_n * x^n) dx) from n=0 to infinity

= Σ (a_n * ∫(x^n dx)) from n=0 to infinity

= Σ (a_n * (x^(n+1))/(n+1)) from n=0 to infinity

Now, find the definite integral by evaluating this power series at the given limits (in your case, from 0 to 0.3) and subtracting:

i ≈ Σ (a_n * ((0.3^(n+1))/(n+1))) from n=0 to infinity

To achieve an approximation up to six decimal places, you can truncate the power series after a sufficient number of terms, which ensures the error is less than 10^(-6). Then, sum the truncated series to find the value of the definite integral, i.

Learn more about definite integral here: brainly.com/question/29974649

#SPJ11

a). The difference between the two population means is estimated at a location to be 2.7.

b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.

c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).

d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.

Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample

\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).

With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.

We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).

The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the

average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).

Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).

The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).

As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

To know more about standard deviations  click-

brainly.com/question/475676

#SPJ1

Line graph - Decrease in attendance

Bar graph - Students in sports

Stem and Leaf plot - Heights of 80 adults

Number of dogs - Line plot

its b so please mark me as a brainliest

Answer:

x = 54

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 36 + 90 = 180

x + 126 = 180

x = 180 - 126

x = 54

Answer:

2.5(x)/10 = 50/200

Step-by-step explanation:

hope that helps :)

So 50/200=0.25

therefore, x has to be divided by 10 and be equal to that number, so 2.5/10=0.25 but let's do it with steps

1) Simplify or combine like terms (in this case we need to simplify 50/200 which is 0.25)

2) To isolate x, do the opposite operation on BOTH SIDES.

x/10 ×10 cancels out the 10

x=0.25×10

x=2.5

Therefore in each composite function we get different domains and ranges which is given below.

(1) f(x) = x+2 , g(x) = 3x - 1

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

              =  x+2 + 3x - 1

             = 4x +1

Domain = (-∞ , ∞) and range = (-∞ , ∞)

(f - g )(x) = f(x) - g(x)

                =  x+2 -3x +1

               = -2x + 3

Domain = (-∞ , ∞) and range = (-∞ , ∞)

(f.g)(x) = f (x) g(x)

          = (x+2)( 3x - 1)

           = 3x²- x + 6x - 2

           = 3x²+ 5x -2

Domain = (-∞ , ∞) and range = [-49/12 ,∞)

(f/g)(x) = f(x)/g(x)

           = x+2/3x-1

Domain = (-∞ , 1/3) ∪ (1/3 ,∞) and range = (-∞ , 1/3) ∪ (1/3 ,∞)

(2) f(x) = x² - 5 and g(x) = -x +8

   (f + g)(x) = f(x) + g(x)

                 = x² - 5 -x +8

                 = x² - x +3

Domain = (-∞ , ∞) and range = [11/4 ,∞)

(f - g )(x) = f(x) - g(x)

              =  x² - 5 +x -8

              =  x² + x - 13

Domain = (-∞ , ∞) and range = [-53/4 ,∞)

(f.g)(x) = f (x) g(x)

          = ( x² - 5 )(- x +8)

          = -x³ + 8x² + 5x - 40

Domain = (-∞ , ∞) and range = (-∞ , ∞)

(f/g)(x) = f(x) / g(x)

          = x² - 5 / -x +8

Domain = (-∞ , 8) ∪ (8 ,∞) and range = (-∞ , -16 - 2√59 ) ∪ (-16 + 2√59  ,∞)

Learn more about domain and range here :

https://brainly.com/question/2264373

#SPJ9

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

The solution to all three parts is shown below.

Part A:

For Mountain View School:

Mean = (12+18+19+21+23+24+24+25+25+26+27+28+30)/13 = 23

Median = 24

Mode = 24 and 25

For Bay Side School:

Mean = (5+6+8+10+12+14+15+16+18+20+20+22+23+25+42)/15 = 17.4

Median = 16

Mode = 20

For Mountain View School:

Range = 30-12 = 18

Interquartile Range (IQR) = Q3-Q1 = 27-21 = 6

Variance = [(12-23)² + (18-23)² + ... + (30-23)²]/13 = 32.92

Standard Deviation = √(Variance) = 5.74

For Bay Side School:

Range = 42-5 = 37

Interquartile Range (IQR) = Q3-Q1 = 22-10 = 12

Variance = [(5-17.4)² + (6-17.4)² + ... + (42-17.4)²]/15 = 194.16

Standard Deviation = √(Variance) = 13.93

Part C:

If someone is interested in a larger class size, they should choose Mountain View School as it has a higher mean and median class size compared to Bay Side School.

However, if they also want more variability in class size, they should choose Bay Side School as it has a larger range and standard deviation.

Learn more stem and leaf plot here:

https://brainly.com/question/12857419

#SPJ1

Option a is correct using algebric formulas.

(x + y)³ = x³ + y³ +3xy( x + y )

(x + y + z)² = x² + y² + z² + 2( xy + yz + zx )

So breaking it into

(( x + y )³)² = (x³ + y³ +3xy( x + y ))²

(x³ + y³ +3xy( x + y ))² = x^6 + y^6 + 9x²y²(x² + y² + 2xy) + 2( x³y³ + 3xy^4( x + y ) + 3x^4y( x + y) )

x^6 + y^6 + 9x²y²(x² + y² + 2xy) + 2( x³y³ + 3xy^4( x + y ) + 3x^4y( x + y) )

So after rearranging the terms

we get  (x + y)^6 as

x6 + 6x5y + 15x4y2 + 20x³y3 + 15x²y4 + 6xy5+y6

To know more about algebric formulas click here:

https://brainly.in/question/10422

#SPJ13

Frank cannot recover the reward because he was unaware of the reward being offered by Emma.

In order to claim the reward, one typically needs to have knowledge of the reward prior to finding and returning the lost item or fulfilling the specified condition. Since Frank was unaware of the reward, he would not have had the opportunity to intentionally seek the dog with the expectation of receiving the reward. As a result, Emma is not obligated to provide the reward to Frank in this situation.

To know more about reward,

https://brainly.com/question/14040550

#SPJ11

I believe 5y-1 would work.

The minimum number of swaps required to flip the list is 2.

Array : Generally, in the field of applied sciences, knowledge structures called arrays and typically regarded as just arrays, each containing at least one array-index award or key. Arrays are stored so that formulas can use each component's index tuple to determine the placement of that component within the array.

Given an array with values 5, 10, 15, 20,25

swap reverses the array:

25, 10, 15, 20, 5

25, 20, 15, 10, 5

So, for reversing the number of swaps required list is 2 ..

This may be the smallest variation possible.

Hence, the minimum exchange required to achieve list reversal is two.

To learn more about Array, visit:

brainly.com/question/19570024

#SPJ4