Answer:
1 job done
Step-by-step explanation:
Sam can do the job in 20 min. So he can do the whole job at the rate of 1 job in 20 minutes.
So he does 1/20 of the job per minute.
Rob can do the job in 30 min. His rate is 1/30 of the job per minute.
Working together how does it take?
1/20*x + 1/30*x = 1 job done
, where x = minutes.
Multiply everything by 60 go get rid of the fractions.
3x + 2x = 60
5x = 60
.
Divide both sides by 12
x = 12
So our candidate answer is working together it will take them 12 minutes.
Let's check.
In 12 minutes, Sam does 12/20 of the job and Rob does 12/30 of the job.
12/20 = .6
12/30 = .4
Total = 1 job done.
A rectangular construction site is enclosed on three sides using 60 m of fencing. The remaining side is
formed by an existing wall. What dimensions enclose 450 m² of land?
The Width is 15m and Length is 30m.
What is Area of Rectangle?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.
Here, let the width of the rectangle be x m.
and the length be 60-2x m
Area of rectangle = 450 m²
Now, Area of rectangle = L X W
450 = (x) X (60-2x)
450 = 60x - 2x²
2x² - 60x + 450 = 0
x² - 30x + 225 = 0
x² - 15x - 15x + 225 = 0
(x-15)(x-15) = 0
So, x = 15m.
width = 60 - 2x = 60 - 2X15 = 30 m
Thus, the Width is 15m and Length is 30m.
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48,184 divided by 152
Answer:
317 is the finally awnser
given a point A is on a coordinate plane in quadrant I. if it is rotated 90° counter clockwise then reflecred across the y axis. What quadrant will point A be in
Answer:
it would be -90⁰ because its clockwise its the opposite direction
6.4=0.8m what does m equal
Answer:
0.8
Step-by-step explanation:
8x8=64 but put the decimal point back in 0.8x0.8=6.4
give explanation please, thank
you.
(b) Let S = {x|x = 1 - 1, n = 1,2,3,... ..}.. i) What is the set of boundary points of S? ii) What is the set of interior points of S. iii) Is S an open set? Briefly explain. iv) Is S a closed set? Br
(i) The set of boundary points of S is {1}.
(ii) There are no interior points in S.
(iii) S is not an open set because it does not contain any interior points.
(iv) S is a closed set because it contains all of its boundary points.
Let's analyze the set S step by step:
(i) Boundary points of S:
A boundary point of a set is a point that is neither an interior point nor an exterior point. In this case, since S consists of the elements x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n approaches infinity, x approaches 1. So, the set of boundary points of S is {1}.
(ii) Interior points of S:
An interior point of a set is a point that has an open neighborhood contained entirely within the set.
In this case, since S is defined as x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n increases, x approaches 1.
However, for any n, we can always find another n' greater than n such that 1 - 1/n' is closer to 1.
Therefore, there are no interior points in S.
(iii) S as an open set:
An open set is a set that contains all of its interior points.
Since S has no interior points (as discussed in part ii), it cannot contain all of its interior points.
Therefore, S is not an open set.
(iv) S as a closed set:
A closed set is a set that contains all of its boundary points.
In this case, the set of boundary points of S is {1}, and this set is contained within S itself.
Therefore, S contains all of its boundary points and is considered a closed set.
In summary, the set S has a single boundary point {1}, no interior points, is not an open set, and is a closed set.
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24/4 ÷ 10
please answer quickly
Answer:
0.48
Step-by-step explanation:
25/4 ÷ 10=0.48
Brainiest plz and hope it helped
Is this a function? Why or why not?
Answer:
Yes because there are no repeated dependent variables.
Step-by-step explanation:
how many pounds of bananas are removed from the display table during the first 2 hours the store is opened
Approximately 19.9919 pounds of bananas are removed from the display table during the first 2 hours the store is open.
The function has a constant term 10, which represents the minimum rate of banana removal even if no customers are present.
The second function is g(t), which models the rate at which bananas are added to the display table.
Now, to answer the question, we need to find out how many pounds of bananas are removed from the display table during the first 2 hours. We can do this by integrating the function f(t) from 0 to 2, which gives us the total amount of bananas removed during this time interval. Using the integral notation, we have:
Total amount of bananas removed = ∫₀² f(t) dt
Using the formula for f(t), we can evaluate this integral as follows:
∫₀² [10 + (0.81)sin(100t)] dt = [10t - (0.81/100)cos(100t)] from 0 to 2
Plugging in the limits of integration, we get:
[10(2) - (0.81/100)cos(200)] - [10(0) - (0.81/100)cos(0)] = 20 - 0.0081 ≈ 19.9919 pounds
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Complete Question:
When a certain grocery store opens, it has 50 pounds of bananas on a display table. Customers remove bananas from the display table at a rate modeled by
f(t) = 10 + (0.81)sin 100 for 0
where f(t) is measured in pounds per hour and is the number of hours after the store opened. After the store has been open for three hours, store employees add bananas to the display table at a rate modeled by
8(t) = 3 + 2.4 In (12 + 2+) for 3
where g(t) is measured in pounds per hour and is the number of hours after the store opened.
(a) How many pounds of bananas are removed from the display table during the first 2 hours the store is open?
Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees? Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees? Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?
Answer:
8.4weeksStep-by-step explanation:
The question in details "Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?"
given that Mike is paid $5 per hour
and that he only works 2 hours per week
that means in a week he earns= 5*2= $10
Also, given that mike has a fee of $84 to pay
it would take him 84/10= 8.4weeks
it would take him 8.4weeks to pay the money
two factory plants are making tv panels. yesterday, plant a produced 12,000 panels. three percent of the panels from plant a and 10% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 6%? numberofpanelsproducedbyplantb:12000
The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.
Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.
The quantity of faulty panels from Company B is consequently identical to 0.020x.With the illustration above, the entire quantity of panels produced with the aid of using the 2 corporations is identical to 12000 + x. The percent of general faulty panels to the entire panels produced may be expressed via the equation, ((12000)(0.02) + 0.010x) / (12000 + x) )(100)= Dividing the equation with the aid of using 100 (240 + 0.010x) / (12000 + x) = 0.06Cross-multiplying the denominator of the left-hand facet to the proper hand facet of the equation,240 + 0.010x = 360 + 0.06xTransposing like terms, 0.02x = 120Dividing the equation with the aid of using 0.02. x = 6000Read more about panel:
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A scientist cools some water at a constant rate. The graph and table show
how the temperature of the water changes with time.
Which function models this situation?
Water Temperature
8
7
8
Time (minutes)
Temperature (°C)
2899 228 229
55
50
45
40+
35+
30
25
20
15
10
5
Time (minutes)
Temperature (°C)
A. a(n) = 46-n-(4-1)
B. a(n) = 46 - 40+1
C. a(n) = 46-(n-1)-4
D. a(n) = 46-47-1
9 10
5
30
6
26
The correct function that matches the data in the graph is a(n) = 46-(n-1)-4 (option C)
How to choose the correct option?The only way is to verify the function matches the data by replacing n.
For example, we know at 5 seconds the temperature is 30. Let's use 5 (n) to verify the function.
a(n) = 46-(5-1) x 4a(n) = 46- 4x 4a(n) = 46- 16a (n) = 30This option matches the value of the temperature.
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who ever gets it right first gets brainlyest plz help!
Answer:
It is between 9 and 10
Step-by-step explanation:
Answer:
helping other guy get brainleyest
Step-by-step explanation:
Consider the following table: Female Male Total Republican 105 115 220 Democrat 150 103 253 Independent 150 179 329 Total 405 397 802 What is the probability a voter is either female or Democrat?
The probability that a voter is either female or Democrat is 0.64 or 64%.
To calculate the probability, we need to determine the number of individuals who are either female or Democrat and divide it by the total number of voters.
From the table, we can see that there are 405 females and 253 Democrats. However, we need to be careful not to double-count the individuals who fall into both categories.
To find the number of individuals who are either female or Democrat, we add the number of females (405) and the number of Democrats (253), and then subtract the number of individuals who are both female and Democrat (150).
So, the number of individuals who are either female or Democrat is 405 + 253 - 150 = 508.
Now, we divide this number by the total number of voters, which is 802, to get the probability: 508 / 802 ≈ 0.64 or 64%.
Therefore, the probability that a voter is either female or Democrat is approximately 0.64 or 64%.
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The probability in your area that a voter is a republican is 0.35. What is the probability that the first republican you find is the 4th voter in line ?
The probability that the first republican you find is the 4th voter in line is 12.25%.
In the gievn question, the probability in your area that a voter is a republican is 0.35.
We have to find the probability that the first republican you find is the 4th voter in line.
The probability of a voter is a republican is 0.35.
The first republican we find is the 4th voter in line is
=0.35*0.35
Now multiplying;
=0.1225
To convert in percentage multiply and divide by 100.
We get
=12.25%
Hence, the probability that the first republican you find is the 4th voter in line is 12.25%.
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8+ (-3) + (-8)
NEED HELP
Answer:
\(-3\)
Step-by-step:
\(8+ (-3) + (-8)\)
1 ) Combine like terms...
\(=5 - 8\)
2 ) Solve...
\(= - 3\)
Hope this helps! :)
HELP PLEASE ASAP!!! I NEED HELP
HELP ME PLEASE IF YOU SEE THIS PLEASE HELP I ONLY NEED THE ANSWER YOU DONT EVEN HAVE TO EXPLAIN IT
Answer:
653
Step-by-step explanation:
The surface area of the larger cube is
2(10 x 7) + 2(12x7) + 2(10x12) = 140 + 168 + 240 = 548
The surface area of the smaller cube (minus the surface that is covered by the other figure)
4(8x3) + 1(3x3) = 96 + 9 = 105
105 + 548 = 653
Answer:
It is 653 cm
Step-by-step explanation:
John tossed a coin 50 times, and it lands on head 27 times and it lands on tails 23 times. What is the relative frequency of landing on heads?
A. 27%
B. 46%
C. 50%
D. 54%
Answer:
D. 54%
Step-by-step explanation:
Find the relative frequency of it landing on heads by dividing 27 by 50, then multiplying it by 100
27/50
= 0.54
0.54(100)
= 54
So, the relative frequency is 54%
The correct answer is D. 54%
Consider a variant of the hamburger and figs example from class. Rachel has $50 in income, the price per hamburger is $3 and the price per bag of figs is $2. a) Write out an expression for Rachel's budget line. Sketch a graph, with hamburgers on the x axis. b) Suppose the price of figs increases to $3. Write out the new budget line equation and illustrate in your graph. c) Suppose income is $50, the price per hamburger is $3 and the price per bag of figs is $3. Rachel also receives $10 in cash from a friend. Write out a new budget line equation and illustrate in a graph. d) Suppose income is $50, the price per hamburger is $3 and the price per bag of figs is $3. Instead of cash, Rachel's friend gives her a gift basket containing 3 free bags of figs. Sketch Rachel's new budget line? Has the slope of the budget line changed? Can you write out a new budget line equation?
a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.
a) Rachel's budget line equation can be written as follows:
Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)
Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:
Budget = 3x + 2y
Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.
b) If the price of figs increases to $3, the new budget line equation becomes:
Budget = 3x + 3y
The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.
c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:
Budget = (3x + 3y) + 10
The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.
d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:
Budget = (3x + 3y) + 10
However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.
In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.
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One of two or more numbers that multiply together to form a specific product ; a number that divides into another number with no remainder.
A. prime
B. remainder
C. factor
Answer:
Step-by-step explanation:
C. Factor
A factor is a number that divides another number, leaving no remainder. Meaning that if you multiply two whole numbers that gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.
(Hope this makes sense, if not I'm sorry)
help D: David has 53 coins, some nickels and some dimes. If the coins have a value of $3.60,
how many of each kind are there?
Answer:
19 dimes and 34 nickels
Step-by-step explanation:
dimes: 19
nickels 34
19 dimes x 10 = 190
34 nickels x 15 = 170
190 + 170 = 360 turn that to money value = 3.60
and 19 + 34 = 53
hope this helps
7(+5)=21
can you please help with math problem
The mean marrow dose from diagnostic x-ray examinations averaged over the entire population of the United States is about:
The mean marrow dose from diagnostic X-ray examinations averages over the entire population of the United States is about: 100 mrad/yr.
What is the mean marrow dose?The mean marrow dose refers to the average amount of radiation that the blood-producing cells of the bones are exposed to.
It is important to calculate the amount of radiation the bone marrow is exposed to because an inordinate amount of exposure can lead to diseases like cancer and bone deformation. In the United States, the average amount of exposure is 100 mrad per year.
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ssssssssoooollllvvveee
Answer:
25/2
Step-by-step explanation:
k=y/x =50/4=25/2
In a group of 45 students, 5 study both Art and Biology.
8 study Biology but not Art.
9 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
5/45 because there are 9 art students but only 5 students do art and biology.
hi i need ur help again plz
Answer:
-3
Step-by-step explanation:
If -2f = 6 then f =-3
With this, you will divide both sides by -2 to find the value of x and you realise that 6 can be successful divided evenly by 2, 3 times.
I plan to run a central composite design in 5 variables, and I want to
save experimental effort. I am considering running a 2^5-1 for the
factorial part of the design, instead of a full factorial. What is your
advice for me about this? That is, does it make sense to you or not?
Assume that I plan to fit a full quadratic model with all main effects, all
two-factor interactions, and all quadratic terms. Justify your answer.
Running a 2⁵-1 central composite design instead of a full factorial design can be a reasonable approach to save experimental effort while still obtaining valuable information.
However, it is important to consider the specific requirements and goals of your study, as well as the potential limitations of the reduced design. The decision should be based on a trade-off between the resources available, the complexity of the system being studied, and the desired level of precision in estimating the quadratic model.
A central composite design is a type of experimental design that combines factorial points with additional center points to estimate a quadratic model with main effects, two-factor interactions, and quadratic terms.
In a full factorial design for 5 variables, there would be 2⁵ = 32 factorial points.
However, if you run a 2⁵-1 design, you would exclude one factorial point, reducing the number of experimental runs to 31.
By doing this, you can save some experimental effort while still obtaining a reasonable estimate of the quadratic model.
The decision to use a reduced design should be based on several factors. Firstly, consider the resources available, including time, cost, and available sample size.
Running a full factorial design may require a larger sample size and more resources, which may not be feasible or necessary in some cases. Secondly, evaluate the complexity of the system being studied.
If the system has many factors and interactions, a full factorial design might be more appropriate to capture the complexity accurately. However, if the system is relatively simple, a reduced design can still provide useful information about the quadratic model.
It is important to note that a reduced design will result in some loss of information compared to a full factorial design. The excluded factorial point represents a specific combination of factor levels that will not be investigated, potentially leading to some uncertainty in estimating the quadratic model parameters.
However, if the design is well-planned and carefully executed, the reduced design can still provide valuable insights and estimates of the quadratic model, especially if the excluded point is not expected to have a significant impact on the response variables of interest.
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What is the midpoint of the horizontal line segment graphed below?10(-6,3)(10,3)10A. (2,6)В. (4, 6)ОООC. (2, 3)D. (4, 3)
Therefore,
(-6, 3)(10, 3)
\(\begin{gathered} (x_m,y_m)=(\frac{-6+10}{2},\frac{3+3}{2}) \\ (x_m,y_m)=(\frac{4}{2},\frac{6}{2}) \\ (x_m,y_m)=(2,3) \end{gathered}\)AABC has vertices A(2, 1) B(4, 4) and C(4,1) . ADEF has corresponding vertices D(7, 3)
E(9, 6) and F(9, 3) Which of the following describes a translation that would produce ADEF from the pre-image of triangle ABC ?
To the right five units, and up two units To the left five units, and down two units
To the left five units, and up two units
To the right five units, and down two units
A statement which describes a translation that would produce ΔDEF from the pre-image of triangle ΔABC include the following: A. To the right five units, and up two units.
What is a translation?
In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.
Next, we would determine the translation rule as follows;
ΔABC → ΔDEF = (2 + 5, 1 + 2) = D (7, 3)
ΔABC → ΔDEF = (4 + 5, 4 + 2) = E (9, 6)
ΔABC → ΔDEF = (4 + 5, 1 + 2) = F (9, 3)
Therefore, the translation rule is given by this mathematical expression ΔABC → ΔDEF = (x + 5, y + 2). This ultimately implies that, triangle ABC (ΔABC) was translated by five units to the right and up two units in order to produce triangle DEF (ΔDEF).
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Gina Wilson homework unit 10 homework 8
The equation of the circles is:
\((x-2)^2 + (y-8)^2 = 9\\(x-5)^2 + (y+13)^2 = 121\\(x+9)^2 + (y+7)^2 = 1156\\(x+8)^2 + y^2 = 25\\x^2 + (y+16)^2 = 15\\(x-12)^2 + (y+1)^2 = 209\\\)
We have,
The equation of a circle with center (a, b) and radius r is:
\((x - a)^2 + (y - b)^2 = r^2\)
Now,
Center = (2, 8) and radius = 3
Substituting the given values in the equation of a circle, we get:
(x - 2)² + (y - 8)² = 3²
Simplifying, we get:
(x - 2)² + (y - 8)² = 9
Centre = (5, -13) and radius = 11
Substituting the given values in the equation of a circle, we get:
(x - 5)² + (y + 13)² = 11²
Simplifying, we get:
(x - 5)² + (y + 13)² = 121
Centre = (-9, -7) and radius = 34
Substituting the given values in the equation of a circle, we get:
(x + 9)² + (y + 7)² = 34²
Simplifying, we get:
(x + 9)² + (y + 7)² = 1156
Centre = (-8, 0) and radius = 5
Substituting the given values in the equation of a circle, we get:
(x + 8)² + y² = 5²
Simplifying, we get:
(x + 8)² + y² = 25
Centre = (0, -16) and radius = √15
Substituting the given values in the equation of a circle, we get:
x² + (y + 16)² = (√15)²
Simplifying, we get:
x² + (y + 16)² = 15
Centre = (12, -1) and radius = √209
Substituting the given values in the equation of a circle, we get:
(x - 12)² + (y + 1)² = (√209)²
Simplifying, we get:
(x - 12)² + (y + 1)² = 209
Thus,
The equation of the circles is:
\((x-2)^2 + (y-8)^2 = 9\\(x-5)^2 + (y+13)^2 = 121\\(x+9)^2 + (y+7)^2 = 1156\\(x+8)^2 + y^2 = 25\\x^2 + (y+16)^2 = 15\\(x-12)^2 + (y+1)^2 = 209\\\)
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