The population density of Orangeland is 18 orange trees per acre. Exactly 792 orange trees grow in Orangeland. How many acres are in Orangeland? a. 40 b. 44 c. 53 d. 66

To rewrite the equation of the circle in graphing form, we need to complete the square for both the x and y terms.

x² + 6x + y² - 4y = -9

Step 1: Move the constant term to the right side of the equation.

x² + 6x + y² - 4y + 9 = 0

Step 2: Group the x terms and the y terms separately.

(x² + 6x) + (y² - 4y) + 9 = 0

Step 3: Complete the square for the x terms. To do this, take half of the coefficient of x (which is 6), square it, and add and subtract it inside the parentheses.

(x² + 6x + 9 - 9) + (y² - 4y) + 9 = 0

(x + 3)² - 9 + (y² - 4y) + 9 = 0

(x + 3)² + (y² - 4y) = 0

Step 4: Complete the square for the y terms. To do this, take half of the coefficient of y (which is -4), square it, and add and subtract it inside the parentheses.

(x + 3)² + (y² - 4y + 4 - 4) = 0

(x + 3)² + (y - 2)² - 4 = 0

Step 5: Move the constant term to the right side of the equation.

(x + 3)² + (y - 2)² = 4

The equation is now in graphing form, which is:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

Comparing the equation to the graphing form, we see that the center of the circle is (-3, 2) and the radius is 2. Thus, the graph of the circle is centered at (-3, 2) with a radius of 2.

Learn more on center of a circle here;

https://brainly.com/question/24810873

#SPJ1

After answering the presented question, we may conclude that  So the surface area of the ramp, including the front and sides, is 42 square feet.

The surface area of an object indicates the overall space occupied by its surface. The surface area of a three-dimensional form is the entire amount of space that surrounds it. The surface area of a three-dimensional form refers to its full surface area. By summing the areas of each face, the surface area of a cuboid with six rectangular faces may be computed. As an alternative, you may use the following formula to name the box's dimensions: 2lh + 2lw + 2hw = surface (SA). Surface area is a measurement of the total amount of space occupied by the surface of a three-dimensional object (a three-dimensional shape contains height, breadth, and depth).

To find the surface area of the ramp, we need to calculate the area of each face and add them up.

The front face is a rectangle with dimensions 6 ft by 4 ft, so its area is:

Area of front face = length * width = 6 ft * 4 ft = 24 ft²

The two side faces are right triangles with base 6 ft and height 3 ft. The area of each triangle is:

Area of one side face = 1/2 * base * height = 1/2 * 6 ft * 3 ft = 9 ft²

Since there are two side faces, the total area of the side faces is:

Area of side faces = 2 * Area of one side face = 2 * 9 ft² = 18 ft²

Therefore, the total surface area of the ramp is:

Surface area = Area of front face + Area of side faces = 24 ft² + 18 ft² = 42 ft²

So the surface area of the ramp, including the front and sides, is 42 square feet.

To know more about surface area visit:

https://brainly.com/question/2835293

#SPJ1

The domain is all real numbers, and the range is all real numbers greater than or equal to -4. So, correct option is A.

The given function f(x) = (x + 2)(x + 6) is a quadratic function, and its graph is a parabola that opens upwards. We are given that the vertex of the parabola is at (-4, -4), and it passes through the points (-6, 0) and (-2, 0).

The domain of a function is the set of all possible input values for which the function is defined. Since this is a polynomial function, it is defined for all real numbers. Therefore, the domain of the function f(x) is all real numbers.

The range of a function is the set of all possible output values that the function can take. Since the parabola opens upwards and its vertex is at (-4, -4), the lowest point on the graph is at (-4, -4), and it extends infinitely upwards. Therefore, the range of the function f(x) is all real numbers greater than or equal to -4.

Hence, the correct option is A).

To learn more about parabola click on,

https://brainly.com/question/27827235

#SPJ1

Complete question is:

The graph of the function f(x) = (x +2)(x + 6) is shown below.

On a coordinate plane, a parabola opens up. It goes through (- 6, 0), has a vertex at (- 4, - 4), and goes through (- 2, 0).

What is true about the domain and range of the function?

A) The domain is all real numbers, and the range is all real numbers greater than or equal to –4.

B) The domain is all real numbers greater than or equal to

–4, and the range is all real numbers.

C) The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.

D) The domain is all real numbers greater than or equal to

–4, and the range is all real numbers such that –6 ≤ x ≤ –2.

The equation that will be  used to determine the population, y, of Log Village x years after 2010 is y= 1800(1.09)ˣ

What is equation?

An equation is a mathematical statement which is made by two expressions connected by an equal sign. For example, 3x – 8 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 8.

The population of Log Village is 1800 in 2010, and the population increases each year by 9%.

Initial population(p)= 1800

rate of increase(r)= 9%

Time(t)= x years.

The formula for the population after n years is p(1+r/100)ⁿ.

To determine the equation for the population after x years we have to put the values in the above expression.

So putting all the values we get,

The population, y, of Log Village x years after 2010 is

          y= 1800( 1+9/100)ˣ

          y= 1800(1.09)ˣ

Hence, The equation that will be  used to determine the population, y, of Log Village x years after 2010 is y= 1800(1.09)ˣ

To know more about population check the below link:

https://brainly.com/question/25630111

#SPJ1

There is no solution that allows Sally to average an 85 with the given scores.

Let's start by finding the 5th score:

We know that the 4th score is 20 points less than the 5th score, so let's call the 5th score "x". Therefore, the 4th score is "x - 20".

We also know that the 5th score is 2/3 of the average of the first three scores. The average of the first three scores is (73 + 85 + 93)/3 = 83.67. So, (2/3) * 83.67 = 55.78 is the 5th score (rounded to two decimal places).

Therefore, x = 55.78/(2/3) = 83.67 is the 5th score.

Now, let's calculate the total score Sally needs to average an 85:

She already has 73 + 85 + 93 + 83.67 = 334.67 points. To average an 85 over seven tests, she needs a total of 7 * 85 = 595 points.

To find the scores she needs on the 6th and 7th tests, we can subtract the points she already has from the total points she needs:

595 - 334.67 = 260.33

So, Sally needs a total of 260.33 points on the 6th and 7th tests combined.

Let's call the 6th score "y" and the 7th score "z". We can set up an equation to solve for these two scores:

(y + z)/2 = 260.33

Multiplying both sides by 2:

y + z = 520.67

Since Sally needs to average an 85 over seven tests, the sum of all seven scores must be:

7 * 85 = 595

The sum of the first five scores is:

73 + 85 + 93 + 83.67 + 83.67 = 418.34

So, the sum of the last two scores must be:

595 - 418.34 = 176.66

Now we can set up another equation:

y + z = 176.66

We can solve this equation for one of the variables. Let's solve for "y":

y = 176.66 - z

Now we can substitute this into the first equation:

(176.66 - z + z)/2 = 260.33

176.66/2 = 260.33

88.33 = 260.33

This equation does not make sense.

To learn more about average here:

https://brainly.com/question/24057012

#SPJ4

The proportion (p) of adults who received a parking ticket in the last year is 0.1 or 10%.

The standard error for the proportion (P hat) is given as 0.015, which provides a measure of the precision of our estimate.

To find the proportion (p) of adults who received a parking ticket in the last year, we will use the information provided in the survey.
Determine the number of adults who received a parking ticket (given as 40).
Determine the total number of adults surveyed (given as 400).
Now, calculate the proportion (p) using the formula:
p = (number of adults with parking tickets) / (total number of adults surveyed)
p = 40 / 400
p = 0.1

For similar question on proportion.

https://brainly.com/question/30434612

#SPJ11

The probability that the arrival time between vehicles is 12 seconds or less is approximately 0.573.

Given that the time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 14 seconds.

We know that the exponential probability distribution function is given by

f(x) = λ e^(-λx)

Where λ is the rate parameter of the distribution and is equal to 1/mean in this case. So, λ = 1/14.

Now, we need to find the probability that the arrival time between vehicles is 12 seconds or less. Mathematically, we can express this as:

P(X ≤ 12) = [tex]\int\limits^{12}_0[/tex] λ e^(-λx) dx

Integrating this expression, we get:

P(X ≤ 12) = [-e^(-λx)]_[0,12] = -e^(-λ12) + e^(-λ0)

Since e^(-λ×0) is equal to 1, we have:

P(X ≤ 12) = 1 - e^(-λ×12)

Substituting the value of λ, we get:

P(X ≤ 12) = 1 - e^(-12/14)

P(X ≤ 12) ≈ 0.573

Learn more about probability here

brainly.com/question/30579294

#SPJ4

The given question is incomplete, the complete question is:

The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 14 seconds . What is the probability that the arrival time between vehicles is 12 seconds or less?

The solution of the given problem of percentage comes out to be Karin's future account value would therefore be about $313,425.67 after 20 years.

In statistics, a figure or metric that may be presented as a percentage or 100 is denoted by the abbreviation "a%". Other unusual spelling is "pct," "pct," and "pc." The percent symbol ("%") is the method that is most usually used for this.

Here,

Using the compound interest calculation, we can determine Karin's account worth in 20 years:

=> A = P(1 + r)ⁿ

P =$83,555 (current balance), as given.

(Annual interest rate) r = 9.8% = 0.098

20 years, n

Let's use the following formula to determine the future account worth for each year:

Year 1: P = $83,555 (balance as of now)

(Annual interest rate) r = 9.8% = 0.098

Given that this is the first year, n equals 1.

=> A = $83,555(1 + 0.098)¹

=> A = $83,555(1.098)

=>A = $91,785.09

Year 2: P = $6,225 (current balance after deposit) = $3,000 + $3,225.

(Annual interest rate) r = 9.8% = 0.098

n = 1 year

=> A = $6,225(1 + 0.098)¹

=> A = $6,225(1.098)

=> A = $6,834.44

After 20 years, the current balance is

=>  P = $12,873.51 + (20 - 1)($3,000 + 7.5% of $3,000)

= $12,873.51 + $71,132.10 = $83,005.61.

The yearly interest rate is 9.8%, or 0.098.

20 years, n

=>  A = $83,005.61(1 + 0.098)²⁰

=>   A = $83,005.61(3.778)

=>  A = $313,425.67

Karin's future account value would therefore be about $313,425.67 after 20 years.

To know more about percentage visits:

https://brainly.com/question/31471114

#SPJ1

The graph of the exponential function across the interval is attached below

To graph the function y = 3ˣ over the interval 1 ≤ x ≤ 2, you can follow these steps:

Choose a suitable scale for the x-axis and y-axis. Since the function grows rapidly, you may need to use a logarithmic scale on the y-axis to show the entire graph.

Plot some key points of the function. To do this, you can choose some values of x within the given interval and calculate the corresponding values of y. For example:

When x = 1, y = 3^1 = 3

When x = 1.5, y = 3^1.5 = 5.2

When x = 2, y = 3^2 = 9

Connect the plotted points with a smooth curve. Since the function is exponential, the curve will be a smooth upward curve that gets steeper and steeper as x increases.

Label the axes and add any necessary annotations or markings. For example, you may want to label the plotted points with their coordinates or add gridlines to help read off values from the graph.

Kindly find the attached graph below

Learn more on graph of exponential function here;

https://brainly.com/question/2456547

#SPJ1

Zip line B's total length requires 301 feet of cable using the distance between trees and change in height.

To determine the length of cable needed, we need to calculate the horizontal and vertical distances between the trees, and then apply the constraints.

Let's start by labeling the trees and their distances:

Tree 1: 120 ft from Tree 2, 150 ft from Tree 3

Tree 2: 140 ft from Tree 3

Zip line B is the longest, so calculate the length of cable needed for that option.

Horizontal distance: Tree 2 to Tree 3 is 140 ft.

Vertical distance: The starting platform needs to be 16 ft above the ground, and the harness hangs down 4 ft below the cable, plus an additional 3 ft for the rider's legs. So the total height difference is 16 + 4 + 3 = 23 ft.

Using the slope constraint, we want a vertical change of 6 to 8 feet for every 100 feet of horizontal change. For a horizontal distance of 140 ft, we want a vertical change of:

(6/100) x 140 = 8.4 ft

(8/100) x 140 = 11.2 ft

So the zip line needs to have a vertical drop of between 8.4 and 11.2 ft.

Using the slack constraint, we need to add 5% slack to the length of the cable:

140 ft x 1.05 = 147 ft

Adding 7 ft of extra cable at each end, the total length of cable needed is:

140 ft + 147 ft + 7 ft + 7 ft = 301 ft

Therefore, the total length of cable needed for Zip line B is 301 ft.

Find out more on cable length here: https://brainly.com/question/14752431

#SPJ1

Complete question:

Designing a Zip Line You and your friend Latisha work at the community center. You will be counselors at a summer camp for middle school students. The camp director has asked you and Latisha to design a zip line for students to ride while at camp. A zip line is a cable stretched between two points at different heights with an attached pulley and harness to carry a rider. Gravity moves the rider down the cable. The zip line will be secured to two trees. The camp has a level field with three suitable trees to choose from. All three trees are on level ground. • Tree 1 is 120 feet from Tree 2. • Tree 2 is 140 feet from Tree 3. • Tree 1 is 150 feet from Tree 3. Tree 2 Tree 3 Tree 1 120 ft 140 ft acer Tree 1 is 120 feet from Tree 2. • Tree 2 is 140 feet from Tree 3. Tree 1 is 150 feet from Tree 3. - Tree 2 Tree 3 Tree 1 120 ft 140 ft 150 ft There are three possible zip line locations: Zip line A between Tree 1 and Tree 2, Zip line B between Tree 2 and Tree 3, or Zip line C between Tree 1 and Tree 3. acer Tree 2 Tree 1 Tree 3 Zip line A Zip line 8 Zip linec A professional company will be hired to install the zip line. They will build platforms at the two trees used for starting and ending the zip line. The starting platform will require the cable to start at a height 16 feet above the ground You and Latisha researched how to build a zip line. There are four basic constraints for your design. • Slope Constraint: The slope of the zip line should be 6 to 8 feet of vertical change for every 100 feet of horizontal change. • Slack Constraint: The zip line should have a 5% slack in it. acer • Harness Constraint: The cable must be high enough that the rider, while buckled into the harnese dnes not touch the ground. • The harness hangs down 4 feet below the cable. • An additional 3 feet must be used to allow for a rider's legs to hang down below the harness. • Brake Constraint: A brake must be placed on the cable to ensure the rider does not hit the tree. A bungee cord connects the brake to an anchor in the ground. . The length of the bungee cord is 24 feet. • The bungee cord stretches to a maximum of 175% of its original length. Harness Constraint Brake Constraint Rider 4 ft Rider Brake 3 ft Harness Bungee cord Brake anchor acer Rider 4 ft Rider Brake 3 ft Harness Bungee cord Brake anchor Your task is to choose which zip line to build, Zip line A, Zip line B, or Zip line C, and to design this zip line within the given constraints. acer The camp director is ready to purchase the cable. Use the distance between the trees and the change in height of the cable to determine the length of cable needed. Be sure to include: • the required 5% slack in the line, and • 7 extra feet of cable at each end to wrap around each tree. Enter the total length, in feet, of cable needed.

Answer:

The answer for speed is 8 miles/hr

Step-by-step explanation:

speed =distance/time

s=20/2.6

s=8miles/hr

The value of side a and b for the given triangle is 46.68 units and 17.92 units.

A triangle's angles and side lengths are related by the law of sines, a trigonometric identity. It asserts that the ratio of the sine of one angle to the length of the side opposite that angle is constant for all three angles for any triangle with sides a, b, and c and opposing angles a, b, and c:

If a/sin(A) = b/sin(B) = c/sin(C), then

As long as at least one angle and its matching side length are known, this can be used to solve for unknown angles or side lengths in a triangle.

For the given triangle we have:

cos B = a / c

Thus, substituting the values we have:

cos 21 = a / 50

a = 46.68 units.

Now, sin B = b/50

Sin 21 = b / 50

b = 17.92 units.

Hence, the value of side a and b for the given triangles is 46.68 units and 17.92 units.

Learn more about law of sines here:

https://brainly.com/question/17289163

#SPJ1

The complete question is:

The appropriate measure of center for the data on the tickets sold is C. The median is the best measure of center, and it equals 19.

In a box plot, the median is represented by the horizontal line that divides the box into two equal parts. The median is the middle value of the dataset when it is ordered from smallest to largest.

The median is the best measure of center for a box plot. The median is represented by the line inside the box, which in this case is at 19 on the number line.

Find out more on median at https://brainly.com/question/14277132

#SPJ1

Answer:

ccccccccccccccccccccccccc

Step-by-step explanation:

If you buy a ticket, you can expect to make a profit of approximately $0.96 on average.

To calculate the expected profit, we need to consider the probability of winning each prize and the value of each prize.

The probability of winning each prize can be calculated by dividing the number of winning tickets by the total number of tickets. There is 1 winning ticket for each prize, so the probability of winning each prize is:

$240 prize: 1/250

$130 prize: 1/250

$120 prize: 1/250

$70 prize: 1/250

The value of each prize is already given, so we can multiply the probability of winning each prize by its value and sum the results to find the expected profit:

Expected profit = (1/250 x $240) + (1/250 x $130) + (1/250 x $120) + (1/250 x $70) - ($16)

Expected profit = $0.96

To learn more about costs click on,

https://brainly.com/question/28982146

#SPJ4

Answer:

1. The parameter of interest is the proportion of students in the school who think of their parents or guardians as “strict”. A statistic that the students could use to estimate the parameter is the proportion of students in their sample who think of their parents or guardians as “strict”.

2. The best design for this study is a sample survey. An experiment would involve manipulating the parents' behavior and observing the effect on the students, which is not ethical. An observational study would only observe the behavior without manipulation, but it is not clear what behavior to observe in this case.

3. Here are three questions that could provide objective data related to strictness:

4. An appropriate method for obtaining a sample of 100 students is random sampling. The students could assign each student in the school a number, and then use a random number generator to select 100 numbers. They could then survey the students corresponding to those numbers. Another method could be stratified sampling, where the students divide the school into groups based on grade level, and then randomly sample a proportionate number of students from each group.

A cone with a height of 9 in and a base diameter of 6 in has the volume 84.78 cubic inches.

The formula for the volume of a cone is:

V = (1/3)π[tex]r^{2}[/tex]h, where r is the radius of the base and h is the height.

In the question it is given height = 9 in and a base diameter = 6 in.

Radius = diameter/2

r = d/2 = 6/2 = 3 inches

Substituting the values in the formula:

V = (1/3)π[tex](3\ in)^2[/tex](9 in)

Simplifying the expression:

V ≈ 84.78 [tex]in^3[/tex]

Rounding to the nearest hundredth, we get:

V ≈ 84.78 [tex]in^3[/tex]

Therefore, the approximate volume of the cone is 84.78 cubic inches.

Know more about volume of cone:

https://brainly.com/question/31211180

#SPJ1

Answer:

4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles

Step-by-step explanation:

Pattern blocks are a set of geometric shapes commonly used in math education. The set typically includes six different shapes: triangle, rhombus, trapezoid, hexagon, square, and equilateral triangle. Each hexagon in a pattern block set is made up of six equilateral triangles.

To make 4 hexagons using pattern blocks, we would need to calculate the total number of equilateral triangles required. Since each hexagon is made up of 6 equilateral triangles, we can multiply the number of hexagons by 6 to get the total number of equilateral triangles needed.

4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles

So, you would need 24 pattern block triangles to make 4 hexagons using pattern blocks.

Answer:

Let's use pattern blocks to visualize the situation and say that a hexagon is 1 whole. Since 3 rhombuses make a hexagon, 1 rhombus represents and 2 rhombuses represent . We can see that 6 pairs of rhombuses make 4 hexagons, so there are 6 groups of in 4.

We may infer from the box plots that Super Fast Food, with its smaller IQR, is better equipped to predict wait times than Burger Quick.answer is option (a).

When values are sorted in order of magnitude, the median, a measure of central tendency, is the middle value in the collection.

BX charts are a common approach to visually depict a distribution of data, such as wait times at a drive-through restaurant. The bx in a bx plot depicts the interquartile range (IQR), or the middle 50% of the data, with the bttm and tp of the bx standing in for the first quartile (25th percentile) and third quartile (75th percentile), respectively. A line inside the box represents the median, or the value that splits the data into equal halves.

Although the range, which is the difference between the data's highest and minimum values, can also be used as a consistency indicator, its accuracy is lower than that of the IQR due to its sensitivity to extreme values and outliers. In this instance, Burger Quick's range is 30 - 2 = 28 minutes, while Super Fast Food's range is 27 - 3 = 24 minutes. Despite the fact that the range for Super Fast Food is narrower, it is still unreliable as a measure of consistency since it is significantly impacted by the outlier at 27 minutes, which is considerably outside the range of the data.

We may therefore deduce from the box plots that Super Fast Food, due to its smaller IQR, is able to estimate their wait time more reliably than Burger Quick.

To know more about box plots, visit:

brainly.com/question/1523909

#SPJ1

The complete question is,

The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.

A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.

Which drive-thru is able to estimate their wait time more consistently and why?

Burger Quick, because it has a smaller IQR

Burger Quick, because it has a smaller range

Super Fast Food, because it has a smaller IQR

Super Fast Food, because it has a smaller range

Rounding to the nearest degree, we get x = 53 degrees.

We can use the inverse sine function (sin⁻¹) to find the value of x.

From the sine rule,

sin(x) = opposite/hypotenuse

[tex]sin(x) = 7/9\\x = sin^{-1}(7/9)[/tex]

Using a calculator, we find that x is approximately 53.13 degrees. Rounding to the nearest degree, we get x = 53 degrees.

Learn more about right-angle triangles here:

https://brainly.com/question/3770177

#SPJ1

The set of inequalities that expresses the given relationships are -6 < -2 and -2 > -4. The correction is second option -6 < -2 and -2 > -4

From the question, we are to determine the set of inequalities that expresses the relationships

From the given information,

The given relationships are:

A score of -6 is lower than a score of -2. A score of -2 is higher than a score of -4.

First, we will write the first relationship as an inequality

A score of -6 is lower than a score of -2

This means that -6 is less than -2.

Using inequalities symbols, we can write that

-6 < -2

Now,

For the second relationship :

A score of -2 is higher than a score of -4

This means, -2 is greater than -4

Using inequalities symbols, we can write that

-2 > -4

Hence,

The inequalities that express the relationships are -6 < -2 and -2 > -4

Learn more on Writing an inequality here:

https://brainly.com/question/1447311

#SPJ1

The bag contains 4.63 dollars.

To find :

Total amount of the coins bag contains.

Solution:

According to the given statement, a bag contains 50 coins.

Number of pennies = 16% of 50

                               = 0.16 × 50

                               = 8 pennies

Number of dimes  = 42% of 50

                            = 0.42 × 50

                             = 21 dimes

Number of nickels = 6 more than pennies

                              = 8 + 6

                             = 14 nickels

Number of quarters = Rest of the coins

                               = 50 - (8 + 21 + 14)

                               = 50 - 43

                              = 7 quarters

Since,

1 penny = 0.01 dollar

8 pennies = 0.01 × 8 = 0.08 dollar

1 dime = 0.10 dollar

21 dimes = 0.10 × 21 = 2.1 dollar

1 nickel = 0.05 dollar

14 nickel = 0.05 × 14 = 0.70 dollar

1 quarter = 0.25 dollar

7 quarter = 0.25 × 7 = 1.75 dollars

Total value of the coins in the bag = 0.08 + 2.10 + 0.70 + 1.75

                                                        = 4.63 dollars

Hence, The bag contains 4.63 dollars.

Learn more about the addition visit:

https://brainly.com/question/25421984

\

#SPJ1

The simplified ratio of corydoras catfishes to the total number of fish is 9:34, which is equivalent to 0.26:1 or approximately 1:3.88.

To find the ratio of corydoras catfishes to the total number of fish, we need to add up the number of corydoras catfishes to the total number of fish, and express the ratio as a simplified fraction.

The total number of fish is 7 + 12 + 4 + 11 = 34.

The ratio of corydoras catfishes to the total number of fish is 9:34.

To simplify this ratio, we can divide both sides by the greatest common factor, which is 1 in this case.

So the simplified ratio of corydoras catfishes to the total number of fish is 9:34, which is equivalent to 0.26:1 or approximately 1:3.88.

Learn more about ratio at https://brainly.com/question/12024093

#SPJ1

A. a prism with a height of x cm and a square base with side length of x cm = option 2

B. a cylinder with a radius of x and height of cm= option 6

C. a pyramid with a height of x cm and a square base with a side length of x cm = option 3.

For statement A=

The formula for a square based prism= a²h

where a= X

h = X

Vol = x³

For statement B;

The formula for a cylinder=πr²h

where r= X, h= X

Vol= π×x³

For statement C;

The formula for a square based pyramid= 1/3a²h

a = X

H = X

Vol = 1/3 * x³

Learn more about volume here:

https://brainly.com/question/27710307

#SPJ1

Answer:

60

Step-by-step explanation:

5x4x3=60 therefor you would get 60 3 digit numbers

A computation time expression ~ n, of means that the computation time increases in proportion to the size of the input.

This presents a computational complexity of O(n). Here 'O' stands for 'Big O Notation' and is used to denote an upper bound on the computational complexity of the algorithm.

That's, the algorithm's computational complexity is straightforwardly corresponding to the measure of the input information.

This shows that as the input estimate increments, the computational time will increment at the same rate.

 Linear time complexity is considered to be very efficient, and many algorithms aim to achieve this level of complexity. This is a relatively efficient computational complexity and is common in algorithms that require only one pass through the input data. 

learn more about time complexity

brainly.com/question/28319213

#SPJ4

The typical number of points from the histogram for scored in 2008 is 11 points.

The typical number of points from the histogram for scored in 2016 is 9 points

A histogram is described as an approximate representation of the distribution of numerical data.

We take note of the following pints while determining the number of points:

Learn more about histogram at:

brainly.com/question/14421716

#SPJ1

Answer:

Step-by-step explanation:

18

The incorrect measurements of the right triangle is 36² + 60² = 48²

Given data ,

Let the triangle be represented as ABC

Now , let the height of the triangle be AB = 36 miles north

Let the base of the triangle be BC = 48 miles east

Now , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , 36² + 48² = 60²

So , the incorrect option from the data is 36² + 60² = 48²

Hence , the triangle is formed

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ1