Farmer Ed has 3,000 meters of fencing. and wants to enclose a reclangular plot that borders on a river. If Famer Ed does nat fence the side along the river, What is the largest area that can be enclos
Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.
What is the largest area that can be enclosed?To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.
Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.
Learn more about area:
brainly.com/question/25292087
#SPJ11
if two points are at different heights on the graph, what measure of the data should we check to establish if they are actually different?
If two points are at different heights on a graph, we would need to check the values of the dependent variable (y-axis) to establish if they are actually different.
To establish if two points on a graph at different heights are actually different, we should check the values of the dependent variable (y-axis) being plotted
We should check the numerical values of the variable being plotted on the y-axis to see if they are different between the two points. This would tell us whether there is a statistically significant difference between the two groups or not.
To determine whether the difference between the two points is statistically significant, we can perform a hypothesis test or a statistical analysis to compare the means or distributions of the data at the two points.
Alternatively, we can also look at confidence intervals or p-values to establish the statistical significance of the difference between the two points.
Learn more about dependent variable here
brainly.com/question/8646933
#SPJ4
x2- 8x + 12 solve by factoring
Answer:
Yay 8 points
Step-by-step explanation:
Answer:
2(x - 4x + 6)
Step-by-step explanation:
A common figure of the 3 numbers is 2.
What does it mean when an observational study is prospective?
- A prospective study requires that individuals took hack in time or require the researcher to look at existing records - A prospective study collects the data over time.
- A prospective study is a list of all individuals in a population along with certain characteristics of each individual.
Prospective observational studies involve collecting data from participants before an event or outcome occurs, while retrospective observational studies collect data after the event has already taken place.
A prospective observational study is a type of observational study that involves collecting data from participants before an event or outcome occurs. This type of study is used to predict and measure outcomes in the future.
In this type of study, the researcher can control the variables, such as when and how the data is collected, and can also observe the effects of any changes in the environment.
On the other hand, a retrospective observational study is a type of observational study that involves collecting data after an event or outcome has already taken place. This type of study is used to study the causes of a given outcome.
In this type of study, the researcher looks back in time and collects data from the past. This type of study is more limited than a prospective observational study, since the researcher cannot control the variables of the study or observe any changes in the environment.
For more questions like Observational click the link below:
brainly.com/question/13333455
#SPJ4
If a container weighs 3 pounds of container be weighs 5 pounds I’m just trying to see weighs 3.5 pounds a container D ways to 75 pounds what is the total weight of these four containers
Answer:
please subscribe to grace the lioness!!! she has 1,800 right now and is trying to get to 2,000!!! :))))))))))) thanksss
Step-by-step explanation:
Is y=8 a linear equation?
Answer:
No, but y = 8x is. There has to be an x after your number for it to be called a linear equation.
NEED HELP ASAP BRAINLIEST
A movie enthusiast is going to select 1 of 4 movies (labeled W, X, Y, and Z) using a random method where all the movies are equally likely to be chosen. Which of the following is the probability distribution for the movie selection?
A}W X Y Z
0.10 0.20 0.30 0.40
B}W X Y Z
0.40 0.40 0.40 0.40
C}W X Y Z
0.25 0.25 0.25 0.25
D}W X Y Z
0.50 0.50 0.50 –0.50
Answer:
c
Step-by-step explanation:
because they all have the same amount of chance to be chose so its .25 which is c
2. What is the value of x? Show your work
Answer:
x=7
Step-by-step explanation:
Find the ratio between both triangles
jk = 25, mn = 30
multiply 20 by the ratio 1.2 to get 24
then set 24=4x-4
24The figure shows a circle graphed on a coordinate planeWhat is the approximate circumference of the circleА126 unitsB25 1 unitcD50 units
From the figure, the coordinates center of the circle is (x, y)=(-1, -2).
The horizontal distance from the center of the circle to one point of the circle gives the radius of the circle.
So, the radius of the circle is r=4.
Now, the circumference of the circle can be calculated as,
\(\begin{gathered} C=2\pi\text{ r} \\ =2\pi\times4 \\ =25.1\text{ units} \end{gathered}\)Therefore, the approximate circumference of the circle is 25.1 units.
Option B is correct.
Two angles are complementary. The measure of the larger angle is 14° less than 3 times the measure of the smaller angle.
The measure of the smaller angle is ____
degrees and the measure of the larger angle is ____ degrees.
Answer:
Step-by-step explanation:
Comment
2 angles are complementary means together they = 90 Degrees.
Let the smaller angle be x
The complement = 3*x - 14 It is the larger angle.
Givens
<1 = x
<2 = 3x - 14
<1 + <2 = 90
Solution
x + 3x -14 = 90 Combine the left
4x - 14 = 90 Add 14 to both sides
4x - 14+14 = 90 + 14 Combine
4x = 104 Divide both sides by 4
4x/4 = 104/4
x = 26
Answer
<1 = 26
<2 = 3*26 - 14
<2 = 78 - 14
<2 = 64
multiply the two polynomials (x+6)(x^2-3x-4)
The simplified form of the polynomial ( x + 6 )( x² - 3x - 4 ) is x³ + 3x² - 22x - 24
What is the simplified form of the given polynomial?Given the polynomial in the question;
( x + 6 )( x² - 3x - 4 )
Apply distributive property.
x( x² - 3x - 4 ) + 6( x² - 3x - 4 )
x³ - 3x² - 4x + 6x² - 18x - 24
Collect like terms
x³ - 3x² + 6x² - 18x - 4x - 24
Add like terms
x³ - 3x² + 6x² - 18x - 4x - 24
Add -3x² and 6x²
x³ + 3x² - 18x - 4x - 24
Add -18x and -4x
x³ + 3x² - 22x - 24
Therefore, the simplified form is x³ + 3x² - 22x - 24.
Learn more about distributive properties here: https://brainly.com/question/6276874.
#SPJ1
Use the integral test to determine whether each of the following series converges or diverges. For each, fill in the integrated and the value of the integral. Enter diverges if the integral diverges. Then indicate the convergence of the sum.
(a) [infinity]∑n=116n∑n=1[infinity]16n
(b) [infinity]∑n=1n+4n2+8n+4
The series diverges with an integral of 1/ln(16) and the series converges with an integral of 1/4 and a sum of 1/2.
We can use the integral test to determine the convergence of the series ∑n=1∞ 1/6n. The integral of the function f(x) = 1/6x is:
\(∫f(x) dx = (1/6) ln(x) + C\)
Using the limits of integration from 1 to ∞, we get:
∫1∞ f(x) dx = (1/6) ln(∞) - (1/6) ln(1) = ∞
Since the integral diverges, the series also diverges.
We can use the integral test to determine the convergence of the series ∑n=1∞ \((n+4)/(n^2+8n+4\)). The integral of the function f(x) = \((x+4)/(x^2+8x+4)\) is:
∫f(x) dx = (1/2) ln(x^2 + 8x + 4) + 3 ln|x + 4| + C
Using the limits of integration from 1 to ∞, we get:
∫1∞ f(x) dx = (1/2) ln(∞) + 3 ln(∞ + 4) - (1/2) ln(13) - 3 ln(5) = ∞
Since the integral diverges, the series also diverges.
Learn more about integral: https://brainly.com/question/27419605
#SPJ11
Need help with this!
identify the property that justifies step 1 when solving the equation
Answer:
Distributive Property
Step-by-step explanation:
Answer choice a is correct because you are distributing 2 to each term in the parentheses. When you multiply 2 to each factor in the parentheses, it simplifies to 2x-2, thus making the new equation 6x+2x-2=30
Which sampling would be appropriate to survey 120,000 people?
A) 12,000
B) 1,200
C) 120
D) 12
Answer: Id say b
Step-by-step explanation: a would be too high and a bit too detailed. Whereas c and d will be inaccurate.
Answer:
A. Twelve thousand
Step-by-step explanation:
cant specify my sources but please hit thank it would make my day :)
write your answer to the nearest 1/4 inch
Answer:
Step-by-step explanation:1/3
The measurement of the line segment to the nearest 1 / 4 inch is C. 5 ³ / ₄ inches.
How to measure the line segment ?To measure the line segment, you should look at the length of the line segment, while taking into account the measurements between the integrals.
There are 3 sections between each integral, with the suceeding integral being the 4 the section. Seeing as there are 4 sections therefore, it means that each section accounts for :
= 1 / 4 inches
The last integral is 5 inches and then there are 3 section after that. The measurement of the line segment then is:
= 5 + ( 3 x 1 / 4 )
= 5 + 3 / 4
= 5 ³ / ₄ inches
Find out more on line segments at https://brainly.com/question/17374569
#SPJ1
The question is:
Measure the line segment
this histogram shows the yearly number of unprovoked attacks by alligators on people in florida over 33 years. what is the midpoint of the yearly number of unprovoked alligator attacks?
The midpoint of the yearly number of unprovoked alligator attacks can be calculated by finding the class interval that contains the median value. In this histogram, the class intervals are not provided, so we cannot determine the exact midpoint.
However, we can estimate the midpoint by visually locating the point where the histogram is balanced or roughly in the middle. Based on the histogram, it appears that the midpoint is around 6-8 attacks per year.
The midpoint of the yearly number of unprovoked alligator attacks in Florida over 33 years can be found by first identifying the highest and lowest number of attacks in the histogram. Once you have those values, add them together and divide by 2 to find the midpoint.
Visit here to learn more about midpoint brainly.com/question/28224145
#SPJ11
A local car dealer has 250 cars on the lot. 30% of the cars are SUVs. How many of the cars are NOT SUVs?
giving extra points
Answer:
175
Step-by-step explanation:
30% of 250 is 75 and 70% of 250 is 175
Answer:
175
Step-by-step explanation:
K = 30%
Y = ???
X = 250
Turn 30% into a decimal then mutiply from 250
Real estate license candidates who score a 75 or better on the examination leave the test center with ______.
Real estate license candidates who score 75 or better on the examination leave the test center with their passing results or a certificate.
In order to obtain a real estate license, candidates must pass a state-administered exam that tests their knowledge of real estate principles, practices, and laws. The examination includes questions on a wide range of topics, including property ownership, financing, contracts, agency, property management, appraisal, and more.
If candidates obtain a passing score, that is 75 or higher, then they will leave the testing center with their results. Then, they will be granted a certificate that shows they have passed the examination. With this certificate, the candidate will apply for a real estate license through their state's regulatory body.
Once they receive their license, they can start working in the real estate industry as licensed agents, brokers, or other related professionals.
You can learn more about Real estate license at: brainly.com/question/28259203
#SPJ11
What is the answer Please help me Please
ILL MARK YOU BRAINLIEST
Answer:
10 is the y-intercept
Step-by-step explanation:
Since the linear equation is -2 every time the x gets larger, that means it would be plus 2 every time the x gets smaller. The y-intercept is when x = 0 so to get from 1 to zero we subtract 1, then we add 2 to the y which gets us 10.
Hope this helps!
:)
PLS HURRY I NEED HELP FAST
The list shows the number of hours Adamma was at swimming practice on each of
four days.
3.2 ,3 2/3 , 3.25 , 3 1/2
Which list shows these values in order from greatest to least?
A
3 2/3, 3 1/2, 3.25, 3.2
B
3.2 , 3.25, 3 1/2, 3 2/3
C
3.25, 3 2/3, 3 1/2, 3.2
D
3.25, 3.2, 3 2/3, 3 1/2
Answer:
A
Step-by-step explanation:
Rewritten as decimals, the numbers are 3.66, 3.50, 3.25, 3.20
24 cars pass through an intersection each minute while the traffic light is green. In addition, 6 cars pass through the intersection
while the light is yellow. If 84 cars pass through
the intersection during one light cycle (one green light and one yellow light), how long was the green light?
Answer:
3.25 minutes
Step-by-step explanation:
3.25 minutes per green light x 24 = 78
the yellow light is a given, hence 6 cars pass through
78 + 6 = 84 cars
a right triangle has legs measuring 20 in. and 28 in. what is the length of the hypotnuse? round to the nearest tenth.
Let Hypotenuse be x
X² = 20² + 28²
x² = 400 + 784
\( \tt x= \sqrt{400 + 784 } \)
\( \tt x= \sqrt{1,184} \)
\( \tt x= 34.4\)
can someone help me please???
Select the correct answer from each drop-down menu. Graph of proportional relationships. X-axis labeled Number of Plants. Y-axis labeled Number of Roses. Line begins from origin and goes through plotted closed points at (1, 5), (2, 10), (3, 15), (4, 20). According to the graph, the relationship between the number of rose plants and the number of roses is . Reset Next
The relationship that is represented by the graph, between number of rose plants and the number of roses is: proportional.
What is a Proportional Relationship?If a graph represents a proportional relationship, it passes through the origin (0, 0) and has a constant of proportionality that is expressed as k = y/x.
Thus, to determine whether the graph that has a line that passes through points (1, 5), (2, 10), (3, 15), (4, 20) represents a proportional relationship, use the coordinates of the points to find out if k = y/x is the same for all ordered pairs of each point. If it is the same, then it represents the constant of proportionality, meaning the relationship is proportional.
Thus:
For (1, 5), k = 5/1 = 5
For (2, 10), k = 10/2 = 5
For (3, 15), k = 15/3 = 5
For (4, 20), k = 20/4 = 5
This means that, the relationship that is represented by the graph, between number of rose plants and the number of roses is: proportional.
Learn more about proportional relationship on:
https://brainly.com/question/15618632
#SPJ
area of the rectangle (long side:(4x+3) (short side: 2)
Answer:
8x+6 units^2
Step-by-step explanation:
L = 4x+3
W = 2
A=LW
A=(4x+3)*2
A= 8x+6 units^2
Answer:
To find the total, we need to find the area to solve [ 8x + 6 ]
Step-by-step explanation:
The length is [ 4x + 3 ]
The width is [ 2 ]
Area = Length * Height
A = (4x + 3) * 2
A = 8x + 6
Best of Luck!
A package of 3 pairs of insulated socks costs $21. 57. What is the unit price of the pairs of socks?
The unit price of the pairs of insulated socks is $7.19.
When shopping, it's important to know the unit price of a product so that you can compare different brands and sizes to find the best value. In this case, we are given that a package of 3 pairs of insulated socks costs $21.57 and we are asked to find the unit price of one pair of socks.
To do this, we need to divide the total cost of the package by the number of pairs of socks in the package. Since there are 3 pairs of socks in the package, we can divide $21.57 by 3 to get the unit price per pair of socks.
Therefore, the unit price of the pairs of insulated socks is $7.19. This means that each pair of socks costs $7.19 individually. If we were comparing this brand of socks to another brand that sold them for $10.00 per pair, we would know that the original brand is the better value because their unit price is lower.
Knowing the unit price can help you make informed purchasing decisions and ensure that you are getting the best value for your money. It is always a good idea to calculate the unit price for items you frequently buy to make sure you are not overspending.
learn more about unit price here
https://brainly.com/question/13839143
#SPJ11
what is the equation of the line that passes through the point (-3,6) and has a slope of -4
Answer:
y= mx+c
-3=-4(6)+c
-3=-24+c
-3+24=c
21=c
c=21
y=-4x+21
How many grams are in a teaspoon?
how do the three distance computations agree? based on your results, estimate the uncertainty in the distance you have found. how do the three distance computations agree? based on your results, estimate the uncertainty in the distance you have found. 1% 3% 10% 50%
The results of three distance computations are not perfectly agree because of observational uncertainties. Estimated value of the uncertainty in the distance is equals to the 10%. So, the correct choice for answer is option(c).
We can solve the luminosity-distance formula for the distance d : \(d= \sqrt{\frac{luminosity}{4(pi)x(apparent brightness)}} \)
Now, the three distance computations are done by substituting the given values, we find:
• Cepheid 1: d= 5.8 x10²³ = 6.1x10⁷ light years
• Cepheid 2: 5.0x10²³= 5.3x10⁷ light-years
• Cepheid 3: 4.8x10²³ = 5.1x10⁷ light-years
The results do not perfectly agree because of observational uncertainties. Taking the average, the distance is 5.6x10⁷ light-years with a spread of ± 4.5 million light-years, or a spread of a little less than 10% of the total distance to the galaxy M100. Based on our result, estimate the uncertainty in the distance we have found 10%, because 100% - (5.2/5.6)× 100 = 8% which is nearly equal to 10%. Hence, required value is 10%.
For more information about luminosity-distance, visit :
https://brainly.com/question/29108523
#SPJ4
Find y in terms of x.
dy/dx = x^4(1−x^5)^5, curve passes through
The solution is y=
To find y in terms of x using the given differential equation and the information that the curve passes through, we can use integration.
Let's take the following steps: Integrate both sides of the differential equation:
∫dy/dx dx = ∫x^4(1 − x^5)^5 dx
Integrating the left-hand side of the equation gives:
y = ∫x^4(1 − x^5)^5 dx
Next, we can use the substitution method to solve this integral.
Let u = 1 − x^5, then
du/dx = −5x^4.
This means that
dx = −du/5x^4.
Substituting for x^4(1 − x^5)^5 and dx, we get:
y = ∫(1 − u)^5 * −1/5 du
Using the binomial formula,
we can expand (1 − u)^5 as:
1 - 5u + 10u^2 - 10u^3 + 5u^4 - u^5.
Then, we integrate term by term to obtain:
y = ∫(1 − u)^5 * −1/5 du= −1/5 * (u - 5u^2/2 + 10u^3/3 - 10
u^4/4 + 5u^5/5 - u^6/6) + C= (1/5) * (5x^5/2 - 5x^6/3 + 5x^7/4 - x^8/2 + x^6/6) + C
= (x^5/2) - (5x^6/15) + (5x^7/20) - (x^8/10) + (x^6/30) + C.
Since the curve passes through a point, we can use it to find the value of C.
For example, if the curve passes through (1, 3), then
we have:
3 = (1/2) - (5/15) + (5/20) - (1/10) + (1/30) + C.
Solving for C, we get:
C = 377/60.
Finally, we can substitute this value of C back into the equation:
y = (x^5/2) - (5x^6/15) + (5x^7/20) - (x^8/10) + (x^6/30) + 377/60.Thus, the solution is
y = (x^5/2) - (5x^6/15) + (5x^7/20) - (x^8/10) + (x^6/30) + 377/60,
where C = 377/60 is obtained from the fact that the curve passes through a point.
To know more about differential equation visit:
https://brainly.com/question/32645495
#SPJ11