Answers
The unit rate in acres of land planned by the workers per day is found is 16/35 acres.
What is meant by rate of doing work?Power refers to the rate of work completion. It is a measure of how much energy is used up each unit of time. The joule per second (J/s) is the unit of power in the SI system.Force applied across a distance is called work. Examples such work include dragging down a confined helium balloon, driving a vehicle up a steep hill, and lifting an article against the gravitational attraction of the Earth. Energy manifests mechanically as work.For the mentioned question-
Total acres of land planted = 2/5 acres.
Total time taken = 7/8 days.
Thus, unit rate in acres per day = Total acres of land planted / Total time taken
unit rate in acres per day = (2/5) / (7/8)
unit rate in acres per day = (2*8)/(5*7)
unit rate in acres per day = 16/35
Thus, unit rate in acres of land planned by the workers per day is found is 16/35 acres.
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Related Questions
A neighborhood swimming pool is 12 meters longer than it is wide. It is surrounded by a 2 meter wide walkway. The walkway has a total area of 168 square meters. What are the dimensions of the swimming pool?
Answers
Let's assume the width of the swimming pool is "x" meters.
The length of the swimming pool would then be "x + 12" meters.
Considering the walkway surrounds the pool on all sides, the total width including the walkway would be "x + 2 + 2" meters (two sides of the walkway).
The total length, including the walkway, would be "x + 12 + 2 + 2" meters.
The area of the walkway is given as 168 square meters, which can be represented as:
Area of the walkway = Total area including the walkway - Area of the pool
168 = (x + 2 + 2) * (x + 12 + 2 + 2) - x * (x + 12)
168 = (x + 4) * (x + 16) - x^2 - 12x
168 = x^2 + 16x + 4x + 64 - x^2 - 12x
168 = 8x + 64
8x = 168 - 64
8x = 104
x = 104/8
x = 13
Therefore, the width of the swimming pool is 13 meters, and the length of the swimming pool is 13 + 12 = 25 meters.
How do you determine whether an equation is separable?
Answers
In order to determine whether an equation is separable, we need to look at its structure. A differential equation is called separable if it can be expressed in the form g(y)dy=f(x)dx, where g(y) and f(x) are functions of only y and x, respectively. If the equation can be written in this form, it can be solved by integrating both sides with respect to their respective variables.
Example of a separable equation: dy/dx = 2x/(1+y^2)
Here, we can rearrange the equation to put all y terms on one side and all x terms on the other:
dy/(1+y^2) = 2x dx
Then we can integrate both sides to get:
y = tan^-1 (x^2 + C), where C is the constant of integration.
If an equation cannot be written in separable form, it cannot be solved using this method.
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Let U be the universal set, where: U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 } Let sets A , B , and C be subsets of U , where:
A = { 1 , 3 , 4 , 7 , 8 , 11 , 14 }
B = { 3 , 8 , 9 , 11 , 12 }
C = { 9 , 13 , 14 , 17 }
Find the following:
LIST the elements in the set Bc∪∅Bc∪∅ :
Bc∪∅Bc∪∅ = { }
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
LIST the elements in the set A∩BA∩B :
A∩BA∩B = { }
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
LIST the elements in the set Ac∪BAc∪B :
Ac∪BAc∪B = { }
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
LIST the elements in the set (A∩C)∩Bc(A∩C)∩Bc :
(A∩C)∩Bc(A∩C)∩Bc = { }
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
You may want to draw a Venn Diagram to help answer this question.
Answers
Main Answer: If A ∩ B = { } , then the two sets are disjoint sets.
Supporting Answer: Two sets are called disjoint sets if they have no common elements. If the intersection of two sets A and B is null, it means they have no common elements. Mathematically, A ∩ B = { } implies that A and B are disjoint sets. The intersection of two sets, A and B, is the set of all elements that are common to both sets A and B. In other words, the intersection of A and B is the set containing all the elements that are in A and B. If A ∩ B is null, it means there are no common elements in A and B, and thus A and B are disjoint sets.
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List 3 facts about vector math
Answers
Answer:
has a quantity that has both magnitude and direction
Josiah Willard Gibbs and Oliver Heaviside is the creator
It's called a vector because Alex Stepanov, the designer of the Standard Template Library, was looking for a name to distinguish it from built-in arrays
Step-by-step explanation:
i hope this is ok
Give me correct answer and fast
Answers
Answer:
r=8.8
Step-by-step explanation:
sin 36=opp/ hyp
sin36=r/15
r= 15 sin36
r=8.8
If there are outliers in a sample, which of the following is always true?a. Mean > Median
b. Standard deviation is smaller than expected (smaller than if there were no outliers)
c. Mean < Median
d. Standard deviation is larger than expected (larger than if there were no outliers)
Answers
In the presence of outliers in a sample, the statement that is always true is d. Standard deviation is larger than expected (larger than if there were no outliers).
Outliers are extreme values that are significantly different from the other data points in a sample. These extreme values have a greater impact on the standard deviation compared to the mean or median. As a result, the standard deviation increases when outliers are present. Therefore, option d is the correct answer.
To summarize, when outliers are present in a sample, the standard deviation is typically larger than expected, while the relationship between the mean and median can vary and is not always predictable.
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June has 30 days. A family of 3 used 3,960 gallons of water during the month of June. How many gallons of water did each person use each day.
Answers
Answer:
44 gallons
Step-by-step explanation:
3960/3=1320
Each person used 1320 in one month
1320/30=44
Amount of person used / 30 days = gallons used each day
Describe the transformation of f(x) = x2 to g(x) = x² + 4Reflection VertexPicture of Graph (from Desmos)Translations Verticalstretch orcompressionFactor:Verticalunits:HorizontalYesNo(x,y)units:
Answers
Vertical Translation of 4 units
1) Considering the function f(x)=x² as the parent function, and g(x)=x²+4
We have a Vertical Translation up 4 units when we compare both parabolas.
2) As we can see below:
Consider the following.∫∫D x dA, D is enclosed by the lines y = x, y = 0, x = 3Express D as a region of type I.a. D = {(x, y) | y ≤ x ≤ 3, 0 ≤ y ≤ x}b. D = {(x, y) | 0 < x < y, 0 < y < x}c. D = {(x, y) | 0 ≤ x ≤ y, 0 ≤ y ≤ 3}d. D = {(x, y) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x}e. D = {(x, y) | 0 ≤ x ≤ y, 0 ≤ y ≤ x}Express D as a region of type II.a. D = {(x, y) | 0 ≤ y ≤ x, y ≤ x ≤ 3}b. D = {(x, y) | 0 ≤ y ≤ 3, y ≤ x ≤ 3}c. D = {(x, y) | 0 ≤ y ≤ x, 0 ≤ x ≤ y}d. D = {(x, y) | 0 ≤ y ≤ 3, 0 ≤ x ≤ y}e. D = {(x, y) | 0 ≤ y ≤ 3, 0 ≤ x ≤ 3}Evaluate the double integral in two ways.__________
Answers
The Value of the double integral is 9/2.
To Evaluate the double integral ∫∫D x dA, we need to express the region D as a type I or type II region, and then integrate over that region.
For D enclosed by the lines y = x, y = 0, x = 3, we can see that the region is a right triangle with vertices at (0,0), (3,0), and (3,3), so it can be expressed as a type I region with:
a. D = {(x, y) | y ≤ x ≤ 3, 0 ≤ y ≤ x}
or as a type II region with:
b. D = {(x, y) | 0 ≤ y ≤ 3, y ≤ x ≤ 3}
To evaluate the double integral using either of these regions, we can use iterated integrals.
Using a type I region:
∫∫D x dA = ∫0³ ∫y³ x dy dx
= ∫0³ ∫0x x dy dx
= ∫0³ ½x² dx
= 9/2
Using a type II region:
∫∫D x dA = ∫0³ ∫0y y dx dy
= ∫0³ ½y² dy
= 9/2
.
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8. Coffee Country City Council has decided to build a new road to connect Main Street
and Lincoln Lane (see the drawing). If construction costs $25,000 per mile, how much
will it cost?
Main Stream
3 mil
Lincoln Ln
1.5 miles-
NEW ROAD
Answers
Answer:
easy just pull put calculator and add 25,000 with 3 mil
Step-by-step explanation:
Answer:
Cost 64951.91
Step-by-step explanation:
We are to assume that the new road and Lincoln Lane meat at right angles. If that is true we can use the Pythagorean Theorem.
Givens
a = 1.5 miles
b = ?
c = 3 miles
Cost per mile = 25000
Solution
a^2 + b^2 = c^2
1.5^2 + b^2 = 3^2
2.25 + b^2 = 9
b^2 = 9 - 2.25
b^2 = 6.75
sqrt(b^2) = sqrt(6.75)
b = 2.5981
Cost
1 mile costs 25000
2.5981 costs x
1/2.5981 = 25000 / x Cross Multiply
x = 2.5981 * 25000
x = 64951.91
. sand is being dumped from a truck at a rate of 40 cubic feet per minute forming a cone with diameter twice the height. how fast is the height changing when the pile is 5 feet high?
Answers
what's the value of x
Answers
Answer:
x = 122°
Step-by-step explanation:
There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .
Exterior angle is an angle formed from one side of the polygone and the extended side so
<A and <B are remot angle and <BCD is exterior angle .
And we write the equetion as
<A + <B = <BCD
58° + 64° = x°
122° = X°
so the exterior angle ( x ) measures 122° .
You are given a fraction in simplest form. The numerator is not zero. When you write the fraction as a decimal, it is a repeating decimal. Which numbers from 1 to 10 could be the denominator?
When the denominator is
_______, ________, ________, or ________ the result will be a repeating decimal.
Please explain your answer.
Answers
Answer:
.
Step-by-step explanation:
Shen choses a letter at random from the word PROBABILITY. Write down the probability that the letter is a vowel.
Answers
Answer:
4/11 or 36.3636%
Step-by-step explanation:
probability= number of favorable outcomes/ number of possible outcomes
The event containing vowels {O,A,I,I}
P(vowel)= 4/11
in percentage, 36.3636%
A company’s profit is described by the equation P ( x ) = − 5 x 2 300 x 15 , 000 , where x is the price in dollars that the company charges for its product. What should the company charge for the product to generate the maximum profit?.
Answers
the company should charge a price of $30 for its product to generate the maximum profit.To find the price that will generate the maximum profit, we need to find the vertex of the quadratic function P(x) = -5x^2 + 300x - 15,000.
The vertex of a quadratic function in the form ax^2 + bx + c is given by the x-coordinate of the vertex, which is -b/2a. In this case, a = -5 and b = 300.
x = -b/2a = -300 / (2 * -5) = 300 / 10 = 30.
Therefore, the company should charge a price of $30 for its product to generate the maximum profit.
It's worth noting that the profit equation provided is a simplified model and may not accurately represent the real-world dynamics of the company's profit. Additionally, other factors such as demand, competition, and production costs should also be considered in determining the optimal price for maximizing profit.
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A pizza restaurant is offering a special price on pizzas with
2
22 toppings. They offer the toppings below:
Pepperoni
Sausage
Ham
Chicken
Green pepper
Onion
Mushroom
Pineapple
Pepperoni
Chicken
Mushroom
Sausage
Green pepper
Pineapple
Ham
Onion
Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose
2
22 different toppings.
What is the probability that Rosa's mom chooses sausage and onion?
Answers
The probability that Rosa's mom chooses sausage and onion is: 1/8C₂.
What is the probability?Probability refers to the chance of an event occurring. It is given by the formula: number of favorable outcomes/number of total outcomes. The total number of groups from which Rosa's mom can make her choice is 1 and this is the number of favorable outcomes.
But, the total number of outcomes that Rosa can hope to expect are 2 two toppings(sausage or onions) out of 8. So, the selected answer is the representation of the probability.
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1. What should be added to the difference of 35.06 and 2.098 to get 40.00?
Answers
Answer:
7.038
Step-by-step explanation:
35.06-2.098=32.962
40.00-32.962=7.038
Answer:
7.038
u can find the difference of 35.06 and 2.098 first.
afterwards, u can subtract the difference from 40.00 to get the answer of 7.038
hope it helps:)))
1. 12x – 8x + 4 = 20
2. 9w + 4w – 5w + w = -9
Answers
Answer:
the answer for just eliminate the variables and to the solving tho get the answer as they get the answer to the number above
The price of a video game was reduced from $80 to $32.
By what percentage was the price of the video game reduced?
Answers
Answer:
40%
Step-by-step explanation:
32/80=0.4
80×0.4=32
Answer:
40%
Step-by-step explanation:
32÷80= .4
80x0.4=32
Find the missing length indicated. 81 108
Answers
The measure of the length of x is equal to 225 rounded to the nearest whole number using the trigonometric ratios of tangent and sine
What are trigonometric ratiosThe trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.
Considering the right triangle with opposite = 108 and adjacent = 81, the angle between them and hypotenuse is derived and used to solve for the base x of the entire right triangle as follows:
tan⁻¹(108/81) = 53.13°
hypotenuse side = √(108² + 81²)
hypotenuse side = √18225
hypotenuse side = 135.
For the entire right triangle;
the smaller angle = 180 - (90 + 53.13)
the smaller angle = 36.87
sin36.87 = 135/x
x = 135/sin36.87
x = 254.9995
Therefore, the measure of the length of x is equal to 225 rounded to the nearest whole number using the trigonometric ratios of tangent and sine
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Help with this please
Answers
The values of x is 105°
The values of (x-30) = 75°
What is a trapezium?trapezium is a two-dimensional quadrilateral with one pair of sides that are parallel.
To calculate the value of x in the trapezium, we use the formula below
Formula:
x+(x-30) = 180..............Equation 1Solve for the value of x in the equation above
2x-30 = 1802x = 180+302x = 210x = 210/2x = 105°Therefore,
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Find f(3) f(2) f(1) f(0) f(-1)
Answers
Answer:
f(3) = -1, f(2) = -3, f(1) = -5, f(0) = -7, f(-1) = -9
Step-by-step explanation:
f(x) = 2x -7
f(3) = 2(3) - 7 = -1
f(2) = 2(2) - 7 = -3
f(1) = 2(1) - 7 = -5
f(0) = 2(0) - 7 = -7
f(-1) = 2(-1) - 7 = -9
A farm lets you pick 2 pounds of blueberries for 5 dollars.
1. the unit rate of dollars to pounds is ___ dollars per 1 pound
2. the unit rate of pounds to dollars is ___ pounds per 1 dollar
Answers
Answer:
1. $2.50
2. 2/5lb
Step-by-step explanation:
1. 2lbs=$5.00 so that means 1lb=$2.50.
2. 1lb=$2.50 so that means 1/5lb=$0.50 which you can then conclude that 2/5lb=$1.00
Please answer this question now
Answers
Answer:
397.7 m²
Step-by-step Explanation:
The are of ∆UVW can be found ones we know the measure of 1 angle that is in between known lengths of two sides. Then, we would apply the formula, ½*a*b*sin(θ)
Where, a and b, are the lengths having an included angle (θ), in between them.
To find area of ∆UVW, we need m < V, side lengths of UV and VW.
m < V = 113°
VW = 29 m
UV = ?
Step 1: find UV using the Law of sines
\( \frac{UV}{sin(W)} = \frac{VW}{sin(U)} \)
W = 34° [180 - (113+33)]
U = 33°
VW = 29 m
UV = ?
\( \frac{UV}{sin(34)} = \frac{29}{sin(33)} \)
Multiply both sides by sin(34)
\( \frac{UV*sin(34)}{sin(34)} = \frac{29*sin(34)}{sin(33)} \)
\( UV = \frac{29*sin(34)}{sin(33)} \)
\( UV = 29.8 m \)
Step 2: find the area of the triangle
Area = ½*a*b*sin(θ)
a = 29.8 m
b = 29 m
θ = 113°
Area = ½*29.8*29*sin(113)
Area = 397.7 m² (nearest tenth)
What is the slope-intercept equation of the line below?
-5
A. y = 3x + 4
B. y=-3x + 4
C. y=-3x-4
D. y = 3x - 4
Answers
Answer:
The answer is B. y=-3x+4
Step-by-step explanation:
Have a great day :)
How to Convert Decimal to Octal?
Answers
Answer:
Step-by-step explanation:
We divide the number by 8 and write the remainder in reverse order to get the equivalent octal number.
Answer:
Let's write down the base of each one:
- Decimal is base 10 (0 to 9)
- Octal is base 8 (0 to 7)
So, if we want to convert decimal to octal, we need to divide the decimal number by 8 and hold onto the remainder.
Then once your quotient becomes 0, from the last remainder to the first, write your numbers.
For example here is 437 base 10.
437 / 8 = 54 R 5
54 / 8 = 6 R 6
6 / 8 = 0 R 6
So, the answer is 665 base 8.
Krya is playing a card game. Black cards are worth points while red cards take points away. What is her score if she has a black 20-card and a red 42-card
Answers
Answer:
her score would be -22
Step-by-step explanation:
20-42=-22
How do you find the radios and the height for this problem?
Answers
Answer:
radius=2, height=3
Step-by-step explanation:
diameter= 2x the radius therefore 4/2=2=radius
cylinder volume formula=πr^2h
volume=12π
height= v/πr^2=12π/π*2^2=12π/π*2^2=12π/4π=3
hope this helped!
Given the figure, find the values of x and z.
Answers
\(\\ \sf\longmapsto 8x-38=90\)
\(\\ \sf\longmapsto 8x=90+38\)
\(\\ \sf\longmapsto 8x=128\)
\(\\ \sf\longmapsto x=16\)
Now
\(\\ \sf\longmapsto z+90=180\)
\(\\ \sf\longmapsto z=90\)
In a survey conducted to find out the feedback of a sports program organized in a club, the organizers asked the respondents to classify their feedback as good, fair, poor, and bad. Is the study observational or experimental? If it is an experiment, what is the controlled factor?
Answers
This study is observational, not experimental. There is no controlled factor as the survey is simply collecting feedback from the respondents.
The survey is essentially asking the respondents to self-report their opinion of the sports program, which is an observational study.
The survey conducted to find out the feedback of the sports program organized in a club is not an experiment. This type of survey is an observational study, where the respondents are asked to provide feedback based on their observations.
An observational study is a type of study in which the researcher simply observes and records the data without trying to influence the outcome in any way. In this case, the researcher is asking the respondents to classify their feedback as good, fair, poor, and bad without attempting to manipulate the results. In this case, however, the respondents' feedback is based on their own observations and is not being used to test a hypothesis. Therefore, this is not an experiment, but rather an observational study. Therefore, there is no controlled factor in this study.
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