The best way to divide the land having canal and road parallel, is divide land with the line perpendicular to the road and canal.
What is parallel and perpendicular?
In simple geometry, two geometric objects cross at a right angle (90 degrees or /2 radians) if they are perpendicular to one another. The perpendicular symbol,⟂, can be used to graphically depict the condition of perpendicularity. It can be defined between two planes, between two lines (or line segments), and between two lines.
In geometry, parallel lines are coplanar, straight lines that never intersect. Any parallel planes in the same three-dimensional space are those that never intersect. Parallel curves are those that have a predetermined minimum separation between them and do not touch or intersect.
We need to give equal access of canal to each section of land so, the best way to divide land is divide land perpendicularly to canal and the road.
To know more about parallel and perpendicular, go to link
https://brainly.com/question/25429151
#SPJ13
What is the degree of the polynomial above?
(A.) 1
(B.) 2
(C.) 3
(D.) 4
Answer:
The answer is B.
Step-by-step explanation:
I remember this question.
Answer:
c
Step-by-step explanation:
provide an appropriate response. the owner of a computer repair shop has determined that their daily revenue has mean $7200 and standard deviation $1200. the daily revenue totals for the next 30 days will be monitored. what is the probability that the mean daily revenue for the next 30 days will be less than $7000?
The probability that the mean daily revenue for the next 30 days will be less than $7000 IS 0.7333
Standard deviation of the sample is equal to the population's Standard Deviation divided by the square root of the sample's item count.
Standard Deviation of the sample = [tex]1200/\sqrt{30} = 219.09[/tex]
SD of the sample is equal to the population's Standard Deviation divided by the square root of the sample's item count.
To reach a result of 300, divide 7500 by the mean of 7200. 300 divided by the sample's SD (219.09) yields a result of 1.37. A z-table search for +1.37 returns a result of 0.9147. Accordingly, there is a 0.9147 percent chance that the average daily revenue over the following 30 days will be less than $7500.
To get a result of -200, divide 7000 by the mean of 7200. Divide -200 by the sample's standard deviation (219.09), and you'll get -0.91. search for -0.91 in a z-table receive a score of 0.1814. The likelihood that the mean daily revenue for the following 30 days would be less than $7000 is therefore 0.1814.
Simply subtract the likelihood that the mean daily revenue is less than $7000 (0.1814) from the likelihood that the mean daily revenue is less than $7500 (0.9147) to arrive at the probability that the mean daily revenue for the upcoming 30 days will be between $7000 and $7500. This yields a result of 0.7333.
There is a 73.33% chance that the average daily income over the following 30 days will be less than $7000.
To learn more about Standard Deviation:
https://brainly.com/question/13498201
#SPJ4
3×10^9
---------
3×10^-7
Answer:
1 x 10^16
Step-by-step explanation:
21 A forklift has a maximum carrying capacity of 960 pounds. Each cargo box weighs 60 pounds.
a. Write and solve an inequality that represents the maximum number of cargo boxes the
forklift can carry.
b.
A 120-pound carrying case is used to hold the cargo boxes. What is the maximum number
of cargo boxes the forklift can carry when the carrying case is used? Show that your answer
is correct by showing that one more than your answer would exceed the forklift's capacity
Using the concept of inequality, it can be concluded that;
a) Maximum number of cargo boxes the forklift can carry is 16.
b) Maximum number of cargo boxes the forklift can carry when the carrying case is used is 14.
What is the inequality in mathematics?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to contrast two numbers on the number line based on their sizes.
Let the no. of cargo box be x.
So the equation is 60x≤960
x≤960/60
x≤16
Now the 120 pound additional weight is needed so the equation is:
120 + 60x≤960
60x≤840
x≤14
Know more about inequality click here- https://brainly.com/question/28763416
#SPJ13
The Kansas City Chiefs are trying to figure out if there is a relationship between the number of passes thrown by Quarterback Patrick Mahomes and the total passing yards earned in each game.
Using your graphing calculator, analyze their data and then answer the 2 questions below.
Passes Thrown, [39] [35] [35] [37] and [40
Total Passing Yards [360] [235] [262] [249] [338]
• What is the linear regression equation that represents this data? Round to the nearest whole number. (worth 2 points)
Using your equation, calculate the number of passing yards the Chiefs can expect if Mahomes throws 38 passes in a game. (worth 2 points)
Explain how you calculated your answer for the expected passing yards if 38 passes are thrown. (worth 2 points)
The linear regression equation that represents this data is given as follows: y = 22x - 518.
Using this equation, when 38 passes are thrown, the expected yardage is of 318 yards.
How to find the equation of linear regression?To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.
In the context of this problem, the input and output are given as follows:
Input: number of passes thrown by Patrick Mahomes.Output: number of passing yards obtaining by Mahomes/KC.The points to be inserted in the calculator are given as follows:
(39, 360), (35, 235), (35, 262), (37, 249), (40, 338).
Hence the equation is given by:
y = 22x - 518.
With 38 passes, the expected yardage is calculated as follows:
y = 22(38) - 518 = 318 yards.
More can be learned about linear regression at https://brainly.com/question/22992800
#SPJ1
The dot plot shows predictions for the winning time in the 200-meter sprint. The winner finished the race in 22.3 seconds. What is the greatest percent error among the predictions?
2.69%, is the required maximum percent error among the predictions.
Given,
The predicted winning time in 200 meter sprint shows in the dot plot
The winner finished the race in 22.3 seconds
We have to find the greatest percent error among the predictions;
Here,
The actual time to complete is 22.3 seconds.
22.9 seconds is the prediction that is the most off.
The difference is, 22.9 - 22.3 = 0.6 seconds
To obtain a prediction, divide this by the actual time value.
= 0.6/22.3 = 0.0269 = 2.69
Therefore, 2.69%, is the required maximum percent error among the predictions.
Learn more about predictions here;
https://brainly.com/question/14946661
#SPJ1
Can someone help me answer this question about area of trapezium
Answer:
x = 11
Step-by-step explanation:
the area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height between the bases b₁ and b₂
here h = 4 , b₁ = x , b₂ = 6 and A = 34 , then
[tex]\frac{1}{2}[/tex] × 4 × (x + 6) = 34
2(x + 6) = 34 ( divide both sides by 2 )
x + 6 = 17 ( subtract 6 from both sides )
x = 11
A tent pole that is 9 feet tall is secured to the ground with a piece of rope that is 15 feet long from the top of the tent pole to the ground. Determine the number of feet from the tent pole to the rope along the ground.
The number of feet from the tent pole to the rope along the ground will be 12 Feet.
Let:
PR be the tent pole 9 Feet tallPQ be the piece of rope 15 Feet longRq be the distance between the tent pole and the rope along the groundRQ = x
According to Pythagoras Theorem:
[tex]Hypotenuse^{2} = Perpendicular^{2} + Base^{2} \\PQ^{2} = PR^{2} + RQ^{2} \\15^{2} = 9^{2} + x^{2} \\225 = 81 + x^{2} \\x^{2} = 225 - 81\\x^{2} = 144\\x = 12[/tex]
Therefore, the number of feet from the tent pole to the rope along the ground will be 12 Feet.
Pythagoras Theorem is widely used to establish the relation between the three sides of a right-angled triangle. The applications of Phythagoras Theorem are the angle of depression, angle of elevation, etc. Even the Eiffel tower is one of its applications.
#SPJ6
Learn more about the Phythagoras Theorem:
https://brainly.in/question/2829237
After the expression (x10)^3/5 Is simplified as much as possible, x is raised to what exponent?
The exponent of x in the expression (x¹⁰)³⁺⁵ is 6.
What is an exponent?Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements. These rules can help simplify formulas with exponents that are decimals, fractions, irrational numbers, or negative integers.
The mathematical process known as an exponent often indicates the power of a variable.
As of right now, we are aware that under the scenario of
[tex](x^{a})^{b} = x^{ab}[/tex]
Therefore, solve the power by multiplying 10 by 3/5, and we get
10 × (3/5)
=6
Thus, the expression simplified as
(x¹⁰)³⁺⁵ = x⁶
To know more about exponents, visit:
https://brainly.com/question/5497425
#SPJ13
Write a simplified explession for the perimeter of the triangle.
[tex]p =( 1.5x - 3) + (1.5x - 3) + (0.75x - 1) \\ = 1.5x + 1.5x + 0.75x - 3 - 3 - 1 \\ p= 3.75x - 7[/tex]
ABOVE IS THE SIMPLIFIED PERIMETER OF THE TRIANGLE.
Directions: Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.Solve for x.( + 0.5) + 5.24 = = + ( + 2.2)The value of x is
1/5 (x+0.5) +5.24 = 3/2x + 7/10 (x+2.2)
First, apply the distributive property to solve the parentheses
1/5(x)+ 1/5 (0.5) +5.24 = 3/2x + 7/10(x) + 7/10 (2.2)
1/5x +0.1 +5.24 = 3/2x + 7/10 x + 1.54
Combine like terms
1/5x +5.34 = 11/5x +1.54
Move the x terms to the left side of the equation:
1/5x-11/5x = 1.54-5.34
-2x = -3.8
Divide both sides by -2
-2x/-2 = -3.8/-2
x = 1.9
Find the slope of the line that passes through (4,2) and (2,1)
Given
Points (4,2) and (2,1)
Find
Slope of the line
Explanation
Slope of line is given by
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]so ,
[tex]\begin{gathered} m=\frac{1-2}{2-4} \\ \\ m=-\frac{1}{-2} \\ \\ m=\frac{1}{2} \end{gathered}[/tex]Final Answer
Hence , the slope of line is m = 1/2
Is the function positive or negative over the interval (–8, –6)?
Answer:negative
Step-by-step explanation:
Because it should be on the bottom left corner if you are using a graph it is different in each corners of the graph. There is four sides for the graph.
if 63 Naira is shared in the ratio 4 ratio 5 what is the larger share
Answer:
35
Step-by-step explanation:
sum the parts of the ratio, 4 + 5 = 9 parts
divide 63 by 9 to find the value of 1 part of the ratio
63 ÷ 9 = 7 , then
4 parts = 4 × 7 = 28
5 parts = 5 × 7 = 35 ← larger share
The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form. 5 12 4 5/3
The dimensions of the left triangle are equal to the right triangle's dimensions times 1/3.
Given,
The right triangle on the right is a scaled copy of the right triangle on the left.
The measure of first triangle = 3,4
The measure of second triangle = 2, 3/2
We have to find the scale factor
The figure indicates that the right triangle on the left would be three times larger than the right triangle on the right. In this case, the right triangle's dimension is one third of the left triangle's dimension.
The left one is three times bigger than the right one. In other words, the dimensions of the left triangle are equal to the right triangle's dimensions times 1/3.
Learn more about scale factor here;
https://brainly.com/question/21991506
#SPJ1
A rectangular garden has a length of 60 feet (ft), a width of w ft, and a perimeter of 200 ft.
Which of the following equations best models the garden's perimeter?
The width of the rectangular garden is 40feet. The equation that represents the garden's perimeter is 2(60 + w) = 200.
A rectangular garden has a length of 60 feet (ft)
a width of w ft
and a perimeter of 200 ft.
The formula of perimeter of a rectangle is 2(lenght + width)
The equation that represents the garden's perimeter is 2(60 + w) = 200
2(60 + w) = 200
120 + 2w = 200
2w = 200 - 120
2w = 80
w = 40
Therefore, width of the rectangular garden is 40feet. The equation that represents the garden's perimeter is 2(60 + w) = 200
To learn more about the perimeter refer here
https://brainly.com/question/24571594
#SPJ1
The length of a rectangle is twice its width. If the area of the rectangle is 162in^2, find its perimeter.
We know that the length of a rectangle is twice its width. Then:
The area of a rectangle is the product of its width and length. Then:
[tex]A=2x\cdot x=2x^2[/tex]Additionally, we know that the area is 162 in². Using the expression above we can obtain the value of x:
[tex]\begin{gathered} 162=2x^2 \\ 81=x^2 \\ x=9\text{ in} \end{gathered}[/tex]Finally, the perimeter (2P) is just twice the sum of the width and the length of the rectangle:
[tex]2P=2\cdot(2x+x)=6x=6\cdot9=54\text{ in}[/tex]PLEASE HELP
Question
A function f(x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
f(x)=
The graphed function in the slope-intercept form can be written as:
y = -4*x - 2
How to get the linear function?
A general linear function in the slope-intercept form is written as:
y = m*x + b
Where m is the slope and b is the y-intercept.
On the graph, we can see that our line intercepts the y-axis at y = -2, so the y-intercept is b = -2, replacing that we get:
y = m*x - 2
We also can see that the line passes through (-1, 2), replacing these values on the linear equation we get:
2 = m*(-1) - 2
m = -2 - 2
m = -4
Thus, the linear function in the graph is:
y = -4*x - 2
Learn more about linear functions:
https://brainly.com/question/1884491
#SPJ1
Which of the following rational functions is graphed below?
find the ratio of the shaded pattern to the total area of the figure.
We are given a rectangle with the following dimensions;
[tex]\begin{gathered} l=(x+3) \\ w=(x+1) \end{gathered}[/tex]Also, placed inside the large rectangle, is a smaller shaded rectangle which has the dimensions;
[tex]\begin{gathered} l=(x+1) \\ w=x \end{gathered}[/tex]The ratio of both figures can be expressed as follows;
[tex]\text{Ratio}=a\colon b=\frac{a}{b}[/tex]Substituting for the values of both figures, we now have;
[tex]undefined[/tex]Find the pairs (LOTS OF POINTS!)
1. The pairs for each tent, based on common factors of 40, are given as follows (1, 40), (2, 20), (4, 10), (5, 8), (8, 5), (10, 4), (20, 2), and (40, 1).
2. Matching the number of tents with the number of boys is as follows:
Number of Tents Number of Boys1 40
2 20
3 No match
4 10
5 8
6 No match
7 No match
What are the factors?The factors of a number are the numbers that can divide it exactly or without a remainder.
For instance, the factors of the number, 40, are 1, 2, 4, 5, 8, 10, 20, and 40.
Thus, there are 8 ways that the tents can be arranged to accommodate the campers (boys) based on the factors of 40.
Learn more about the factors of a number at https://brainly.com/question/24481978
#SPJ1
The equation of a line is given below.2x+6y=-18Find the x-intercept and the y-intercept.Then use them to graph the line.X-intercept:0Х5?ca loxy-intercept:0?
Given equation of the line is
[tex]2x+6y=-18[/tex]Dividing both sides of the above equation by -18, we get
[tex]\frac{x}{-9}+\frac{y}{-3}=1[/tex]The line cuts the x axis at (-9,0) and the y axis at (0,-3).
Therefore, the x intercept is -9 and the y intercept is -3.
The graph of the line is shown below.
2) At age 22, Joseph places $4,500 in a retirement account with a fixed annual interest rate 7%,compounded continuously. He never places any additional money in the account. What will hisbalance be at age 55 ?
lets remember what it means compound continuously,
the interest never stopped, the balance is earning interest at all time
Joseph is 22 and he wants to know how much money he will have at 55
55-22=33
his balance will gain interest for 33 years, this is our time
there is a 7% rate
the formula is
P(t)= P(0) e ^rt
our t is 33
rate=7%
Joseph will have a balance at age 55, 45,334.99 dollars
There are 10 books are arranged on a shelf. If 4 books you are choosing are in alphabetical order,how many different groups of books could be chosen? Determine if it is permutation orcombination then solve.A). 24B). 210C). 3,628,800D). 5040
The problem says you have 10 books arranged on a shelf and then you are choosing 4 books in alphabetical order.
Given that you are choosing books with an order (alphabetical) it means the order does matter, then it is a permutation (which is an ordered combination).
In this case, no repetitions are allowed because you can't repeat a book in the selection, they'll be 4 different books from the shelf, the formula you have to use is:
[tex]\frac{n!}{(n-r)!}\begin{cases}n=\text{total number of books} \\ r=\text{ number of books you are choosing}\end{cases}[/tex]Then n=10 and r=4, replace these values:
[tex]\frac{10!}{(10-4)!}=\frac{3628800}{720}=5040[/tex]Then, can be chosen 5040 different groups of books.
The answer is option D.
hassan is cooking some rice.
the recipe says he needs 450 granms of rice for 6 people
how many kilograms of rice would he need for 18 people
Answer:
Round 1350 to decimal form and your answer should be 1.35 kg.
What is the quotient in simplest form?
12/7 divided by 3
A. 7/36
B. 4/7
C. 1 3/4
D. 5 1/7
Answer:
Step-by-step explanation:
the answer would be the second option
the half-life of carbon 14 is 5715 years. an artifact has been located such that only 10% of the original amount of carbon 14 remains in the item. Rounded to the nearest year, how old is the artifact?
The age of the radioactive artifact is approximately 19029.6 years old
RadioactivityRadioactivity is the phenomenon of the spontaneous disintegration of unstable atomic nuclei to atomic nuclei to form more energetically stable atomic nuclei. Radioactive decay is a highly exoergic, statistically random, first-order process that occurs with a small amount of mass being converted to energy.
To solve this problem, we have to find the disintegration constant and we can use the formula of half-life of the sample to do that.
The half-life of a sample is given as;
[tex]T_\frac{1}{2}=\frac{ln}{\lambda}\\T_\frac{1}{2} =\frac{ln}{5715} \\ T_\frac{1}{2} = 0.000121\\[/tex]
The formula of radioactivity is given as
[tex]N = N_oe^(^-^\lambda ^t)[/tex]
Substituting the values into the equation
[tex]N = N_oe^(^-^\lambda ^t)\\\frac{N}{N_o} = e^-^(^\lambda ^t)\\0.1 = e^-^(^0^.^0^0^0^1^2^1^*^t^)\\t = 19029.6 years[/tex]
The artifact is approximately 19029.6 years.
Learn more on radioactivity here;
https://brainly.com/question/26626062
#SPJ1
Airfare from Atlanta, GA to Nashville, TN was decreased from $250 to $180. By what percentage did the cost of the airfare change
this is junior high math
Step-by-step explanation:
100% = $250
1% = 100%/100 = 250/100 = $2.50
the price decreased by
250 - 180 = $70
how many % are $70 ?
as many as how many times 1% ($2.50) fits into $70 :
70 / 2.50 = 28%
it changed (decreased) by 28%.
what is the effect on the graph of the function f(x) = x² when f(x) is changed to f(x + 8) ?A) shifted upB) shifted leftC) shifted right D) shifted down
Solution
- The rule for this transformation is given below:
[tex]\begin{gathered} f(x)\to f(x+h) \\ when\text{ h is positive, then, the graph is shifted left} \\ when\text{ h is negative, then, the graph is shifted right} \end{gathered}[/tex]- Based on this rule, f(x + 8) will shift the graph 8 units to the left
Final Answer
Shifted left (OPTION B)
What is the average speed of a walker who walks 600hm in 20 seconds
Answer:
30 km/s
Explanation:
Formula for average speed = Total distance/total time
From the question,
Total distance = 600 km, Total time = 20 seconds
∴ Average speed = 600 km/20 seconds
Average speed = 30 km/s