To completely enclose the rectangular patio with an area of 4454 square feet and a length of 7 feet, Ms. McCulloh will need approximately 19 pieces of fencing, each measuring 5 feet in length.
To determine the number of 5-foot pieces of fencing needed to enclose the rectangular patio, we first need to find the width of the patio. We can calculate the width by dividing the area of the patio by its length: 4454 square feet / 7 feet = 636.2857 feet. However, since the width is typically a whole number, we round it to the nearest whole number, which is 636 feet.
The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the perimeter of the patio is given by the formula: 2(length + width) = 2(7 feet + 636 feet) = 2(643 feet) = 1286 feet. To find the number of 5-foot pieces of fencing needed, we divide the perimeter of the patio by the length of each piece of fencing: 1286 feet / 5 feet = 257.2. However, since the number of pieces of fencing must be a whole number, we round up to the nearest whole number. Therefore, Ms. McCulloh will need approximately 258 pieces of fencing to completely enclose her patio.
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4. If you are moving a 25 N weight, over a distance of 2.5 meters, how much work is being
done?
Answer:
62.5 J
Step-by-step explanation:
Formula
Work = Force x Distance (Displacement)Given :
Force = 25 NDistance = 2.5 mSolving
Work = 25 x 2.5Work = 62.5 JThe work done with the given force and distance is 62.5 Newton meter.
What is time and work?The basic concept of Time and Work is similar to that across all Arithmetic topics, i.e. the concept of Proportionality. Efficiency is inversely proportional to the Time taken when the amount of work done is constant.
Given that, force = 25 N weight and distance = 2.5 meters
We know that, work = Force×Distance
Here, work = 25×2.5
= 62.5 Newton meter
Therefore, the work done is 62.5 Newton meter.
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PLEASE HELP List all subsets of the following set: {-2,2}
A {2};{-2};{-2,2}
B { };{-2}:{2};{-2,2};{2,-2}
C { };{-2};{2};{-2,2}
D { };{2};{-2};{2,2};{-2,-2}
This is about understanding sets.
Option A is correct.
Let us start with an example set of {a, b, c}According to subsets in mathematics, the number of subsets here will include any of the items in the primary set alone. or a combination of any of them.Thus, the subsets would be;
{a}, {b}, {c}, {a,b}, {a, b, c}, {a, c}, {b,c}
We are given the set; {-2,2}Applying the same principle used in the example above, we can write the subsets as;
{2};{-2};{-2,2}
Thus, option A is the correct answer.
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Answer:
a
Step-by-step explanation:
Using the side splitter theorem, which segment length would complete the proportion?
As per the side splitter theorem, the segment length would complete the proportion is GJ
In math, the side splitter theorem states that "if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally".
Here we have to find the segment length that would complete the proportion by using the side splitter theorem.
According to this theorem and by using the following diagram, we can elaborate the following proportion
=> GH/HE = GJ/JF
Here we have identifies that the segment that completes the proportion is GJ, because it must be used according to the theorem.
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The mean age of 5 people in a room is 39 years.
A person enters the room.
The mean age is now 40.
What is the age of the person who entered the room?
Answer: Answer:the person entering the room is 10 years oldStep-by-step explanation:x / 5 = 40x = 40 * 5x = 200so the total of all the ages of 5 people
Step-by-step explanation:
67.5% of the 540 km road between the two cities is paved, while the rest is unpaved. the average speed of the car on paved roads was 25 km/h higher than on unpaved roads. find the speed of the car on a paved road if it took 10 hours to cover the entire road
The speed of the car on a paved road if it took 10 hours to cover the entire roadis 36.5 km/h.
What is Average Speed?Average speed is the total distance traveled divided by the total time taken to travel that distance.
The speed of the car on a paved road can be calculated by using the following formula:
Total Distance / Total Time = Average Speed
Total Distance = 67.5% of 540 km
= 365 km
Total Time = 10 hours
Average Speed = 365 km ÷ 10 hours
= 36.5 km/h
Therefore, the speed of the car on a paved road is 36.5 km/h.
This is because, since 67.5% of the total 540 km road is paved, the car would be travelling faster on the paved roads than on the unpaved roads, hence resulting in an average speed of 36.5 km/h on the paved roads.
Since the unpaved roads have a lower speed, the total time taken to cover the entire road would be more than 10 hours if the car was travelling only on the unpaved roads.
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$14.45=1.
8.) Your mother has a $1200 budget to buy you and your brother
Christmas presents. The average cost of a present for you is $30. Your
mother decides to spend $870 on your brother's Christmas presents.
How many presents will she be able to buy you?
Answer:the answer is 330 with that makes 11 presents
Step-by-step explanation:
because she spent 1200-870 on your brother subtract the 1200-870 it makes 330 so you can subtract 330-30 each will give 11 presents
brainliest to best answer , good luck and thanks for all the help ! ❤️
Hello. :)
So, in order to order numbers, you need to have them all in the same format. For example, in your case, half are fractions and half are decimals. If you want to order them, they all need to be either fractions or decimals.
Let's just convert them to decimals.
In order to do that, all you have to do is divide the numerator by the denominator. Do this to all of the fractions.
-3/10 = -0.3
1/2 = 0.5
Okay, so now all of our terms are in decimal form:
-0.3, 0.5, 0.3, -0.8
So let's start the Ordering process.
Begin with the negative numbers, since they are going to be the smallest.
We have -0.3 and -0.8. If they were positive, 0.8 would be larger. But, in terms of negatives, -0.8 is less than -0.3
So, we have -0.8, -0.3.
Now the positives:
0.5 and 0.3. Just looking at the decimals, you can see that 0.5 is greater than 0.3
So, from least to greatest your answer is:
-0.8, -3/10, 0.3, and 1/2
I hope this helped. :) Feel free to reply with any questions x
Find the difference in the volume and total area of a cylinder with both a radius and height of 1. R = 1, h = 1 The number of sq units of the total area exceeds the number of cu. Units in the volume by 3 2.
Answer:
The difference in the volume of cylinder and total surface area of cylinder =.
The number of sq units of total area exceeds the number of cu.units in the volume .
Step-by-step explanation:
Given radius of cylinder =1 unit
Height of cylinder= 1 unit
We know that formula of volume of cylinder =
Where r= Radius of the cylinder
h= Height of the cylinder
By using this formula we can find the volume of cylinder
volume of cylinder = =
By using this formula we can find total surface area of cylinder
Total surface area of cylinder = sq units .
Difference between volume of cylinder and total surface area of cylinde= =
Total surface area of cylinder - volume of cylinder=
Total surface area of cylinder = + volume of cylinder
Hence, the number of sq units of total surface area exceed the number of cu.units in the volume by .
convert 4.5 into second step by step please
Answer:
convert 4.5 what though?
Answer:
16200 seconds
Step-by-step explanation:
4.5 hours =
16200 seconds
4.5
16200
Formula
multiply the time value by 3600
An ocicat eats $\frac 35$ of a pound of food daily. How many ocicats can a $19\frac 12$-pound bag of food feed for one week?
Answer:
First, we need to determine how many pounds of food the ocicat eats in a week. There are 7 days in a week, so the ocicat eats $\frac 35$ pounds/day * 7 days/week = $\frac{7}{5}$ pounds/week.
Next, we need to divide the total amount of food in the bag by the amount of food that the ocicat eats in a week to determine how many weeks the bag of food will last. The bag of food weighs 19 1/2 pounds, so it will last for a total of 19 $1/2 pounds / $7/5 pounds/week = $33/7 weeks.
Finally, we need to divide the total number of weeks that the bag of food will last by the number of ocicats that the food will feed to determine how many ocicats the bag of food will feed for one week. The bag of food will feed $33/7 weeks / 1 week/ocicat = $33/7 ocicats.
Therefore, the 19 $1/2-pound bag of food will feed $33/7 ocicats for one week.
Step-by-step explanation:
The local newspaper has letters to the editor from 10 people. If this number represents 5% of all the newspaper's readers, how many readers does the newspaper have?
The newspaper has ___ readers.
Answer:
200 readers
Step-by-step explanation:
question is: 5% of what number is 10
is = percent
of 100
is = 10
of = unknown (call is 'n')
5% = 5/100
10 = 5
x 100
now, cross-multiply: 5x = 1000
divide each side by 5
x = 200
If we were to use Gaussian elimination with partial pivoting to solve this system using exact arithmetic, at what point would the process fail?
Gaussian elimination with partial pivoting can fail due to rounding errors or when a pivot element is very close to zero.
Without knowing the specific system of equations, it is not possible to determine at what point the Gaussian elimination process with partial pivoting would fail using exact arithmetic.
In the latter case, the algorithm can fail to find a suitable pivot and the elimination process can become unstable. This is known as a singularity or numerical instability.
To prevent this, in practice, pivoting strategies are used to avoid dividing by small or zero pivot elements. Additionally, high-precision arithmetic can be used to reduce the impact of rounding errors.
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what is –9 – (–13) and how do i solve
Answer:
4
Step-by-step explanation:
-9-(-13)
-9+13 <---- (-)*(-) = (+)
13-9
4
Solve the problem. 2) To find the distance AB across a river, a distance BC = 646 m is laid off on one side of the river. It is found that B = 111.0° and C = 18.6°. Find AB rounded to the nea
According to the law of sines, the ratio of a side length to the sine of its opposite angle is constant for all sides of a triangle. In this case, we have BC/sin(B) = AB/sin(C). We have 646/sin(111.0°) = AB/sin(18.6°). Solving this equation, we find that AB is 1907.7 m when rounded to the nearest meter.
To explain further, the law of sines relates the ratios of the lengths of the sides of a triangle to the sines of their opposite angles. In our case, BC is the side opposite angle B, and AB is the side opposite angle C. By rearranging the formula BC/sin(B) = AB/sin(C), we can solve for AB. We substitute the given values and use a calculator to find the approximate value of AB. Rounding to the nearest meter gives us the final answer of 1907.7 m.
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Find the area of each parallelogram below. 4 cm 5 cm 6 cm
Answer:
24 cm²
when finding area, multiply base by height
\(4 * 6 = 24\)
Answer:
A = 24 cm^2
Step-by-step explanation:
The formula for the area of a parallelogram is
A = bh where b is the base and h is the height
A = 6 * 4
A = 24 cm^2
if u and v are in r n , how are u t v and v t u related? how are uv t and vu t related?
They are related as u^T transposes of each other. v and v^T u are scalar values that represent the dot product of u and v. uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.
If u and v are vectors in R^n, then:
u^T v and v^T u are related as transposes of each other. Specifically, if
u = [u_1, u_2, ..., u_n]^T
and v = [v_1, v_2, ..., v_n]^T
then:
u^T v = v^T u
= u_1 * v_1 + u_2 * v_2 + ... + u_n * v_n
So, u^T v and v^T u are scalar values that represent the dot product of u and v.
uv^T and vu^T are related as transposes of each other. Specifically, if u = [u_1, u_2, ..., u_n]^T and v = [v_1, v_2, ..., v_n]^T
then:
uv^T = [u_1 * v_1, u_1 * v_2, ..., u_1 * v_n;
u_2 * v_1, u_2 * v_2, ..., u_2 * v_n;
...;
u_n * v_1, u_n * v_2, ..., u_n * v_n]
vu^T = [v_1 * u_1, v_2 * u_1, ..., v_n * u_1;
v_1 * u_2, v_2 * u_2, ..., v_n * u_2;
...;
v_1 * u_n, v_2 * u_n, ..., v_n * u_n]
So, uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.
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please help me on this will give you brainliest!!
Answer: 2n - 64
Step-by-step explanation:
If the vairiable n describes the unknown number, and there is twice the number, then we can use the term 2n.
We also have 64 less then that number, and less means to subtract. Therefore, the equation is 2n - 64.
Answer:
2n-64
Step-by-step explanation:
I believe this is the correct answer (Not exactly sure to be honest)
Twice a number means to multiply by 2, so you use the variable (n) and multiply it by 2. For subtracting 64, I believe you usually put it after the (2n) portion of the equation. You may have to flip it though, equation order is important and it's been a while since I've done these so apologies if it's wrong! Good Luck!
5(t+3)= -3.5 what is T?
Answer:
t= -3.7
it is correct
Step-by-step explanation:
Marks me as brainliest
You can thank me in the comment
The perimeter of a child’s rectangular sandbox is 18 feet . if the length of the sandbox is one foot longer than the width , what equation can be used to find the length and width of the sandbox
Answer:
2(b+1+b)= 18
Step-by-step explanation:
Perimeter of a rectangle= 2(l+b)
18 feet= 2(l+b)
length: l, breadth: b
Because the length of the sandbox is 1 foot longer, it will be:
b+1 = l
Substitute l with b+1
2(b+1+b)= 18
The graph of function f is shown. An exponential function with vertex at (1, 3) and passes through (minus 2, 10), (8, 2) also intercepts the y-axis at 4 units. Function g is represented by the equation. g ( x ) = 4 ( 1 4 ) x + 2 Which statement correctly compares the two functions? A. They have the same y-intercept but different end behavior. B. They have different y-intercepts and different end behavior. C. They have the same y-intercept and the same end behavior. D. They have different y-intercepts but the same end behavior.
Answer:
Without being able to see the graph, it is not possible for me to accurately compare the two functions. Is it possible for you to provide more information about the functions or the graph?
Answer:
Step-by-step explanation:
graph please
Jump to level 1 What are the values for y when x is 3, 4, and 5? y = 4x +9 X 3 Ex: 90 4 Ex: 99 5 Ex: 99 C
The values of y when x is 3, 4, and 5 are 21, 25, and 29, respectively.
To find the values of y when x is 3, 4, and 5 using the equation y = 4x + 9, we substitute the respective values of x into the equation and solve for y.
For x = 3:
y = 4(3) + 9
y = 12 + 9
y = 21
For x = 4:
y = 4(4) + 9
y = 16 + 9
y = 25
For x = 5:
y = 4(5) + 9
y = 20 + 9
y = 29
So, the values of y when x is 3, 4, and 5 are 21, 25, and 29, respectively.
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Answers anyone please?
HELP ASAP PLEASE
Find the area of each figure.
Answer: top triangle = 10 x 4 = 40cm^2 / 2 = 20cm^2
Rectangle = 10 x 6 = 60cm^2
Right hand triangle = 6 x 4 = 24cm^2 / 2 = 12cm^2
Step-by-step explanation:
For top triangle we do 10 - 6 to get shortest side
Rectangle - ignore 14 and use top 10 cm
Finally triangle on right hand - do 14cm - 10 to get base side. Base side is 4cm.
Formula for area of triangle = b x h / 2
Note: ^2 is just to the power of 2 or squared
I hope u found this answer beneficial.
Have a nice day and Christmas holidays m8 :-)
please explain thoroughly
2. (20pts) Consider the following unconstrained minimization problem \[ \min _{x} f\left(x_{1}, x_{2}\right)=x_{1}^{2}+2 x_{2}^{2}+4 x_{1}+4 x_{2} \] (a) Apply stecpest descent method by exact line se
The Steepest descent method is an optimization method that makes use of the gradient vector to determine the direction of the steepest descent for an unconstrained function.
The steps for applying the method to an exact line search are explained below:
Step 1: InitializationSelect an initial point x0 and set the iteration counter k=0.
Step 2: Compute the search directionThe search direction at the k-th iteration can be calculated as the negative of the gradient vector at xk.
Step 3: Find the step sizeThe step size in the direction of the search direction can be found by minimizing the function along the search direction.
In other words, the step size is given byαk=argmin α≥0 f(xk+αpk)This can be done by setting the derivative of the function f(xk+αpk) with respect to α to zero, and solving for α. The resulting value of α is the optimal step size.
Step 4: Update the iteration counterSet k=k+1.
Step 5: Update the current pointUpdate the current point as xk+1=xk+αkpk.
Step 6: Check for convergenceIf the convergence criterion is not satisfied, go to step 2. Otherwise, stop.The convergence criterion can be a specific value of the gradient norm, or a maximum number of iterations can be set as the stopping criterion. In this case, the function f(x) is given as:f(x1,x2)=x12+2x22+4x1+4x2
Therefore, we need to find the minimum value of f(x) by applying the steepest descent method by exact line search. The search direction can be calculated as follows:∇f(xk)= [2x1+4, 4x2+4]pk=−∇f(xk)=[−2x1−4,−4x2−4]
The step size can be obtained by solving the following equation:αk=argmin α≥0 f(xk+αpk)=argmin α≥0 (x1+αpk1)2+2(x2+αpk2)2+4(x1+αpk1)+4(x2+αpk2)
Expanding the equation and simplifying, we get:αk=4/(2(pk12+2pk22+4pk1+4pk2))=2/(pk12+2pk22+4pk1+4pk2)
The current point can be updated as:xk+1=xk+αkpk=(x1+2x1+4/(2(pk12+2pk22+4pk1+4pk2)), x2+2x2+4/(2(pk12+2pk22+4pk1+4pk2)))
Therefore, the steepest descent method by exact line search can be applied iteratively until the convergence criterion is met, or until a maximum number of iterations is reached. Each iteration requires the computation of the search direction, the step size, and the current point.
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PLEASE HELP ASAP
I PUT A PHOTO
Answer:
7/8
Step-by-step explanation:
Five decreased by twice a number
Answer:
5-2x
Step-by-step explanation:
Lines a , b , d , and e are shown in the given figure.
Which of the following statements would be sufficient information to prove that lines a and b must be parallel?
A: Angles 1 and 3 are supplementary.
B: Angles 1 and 6 are supplementary.
C: Angles 1 and 9 are congruent.
D: Angles 1 and 13 are congruent.
This is the Solution, that angle 1 is supplementary to angle 2
i.e. ∠1 + ∠2=180° ,
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
We have drawn the figure for you as well as represented different angles as 1,2,3,4.
You have written that Lines a and b are parallel.
There are many reasons for that.
∠1+∠2=180°[ co-interior angles]
∠3 +∠4=180°[co-interior angles]
∠1 =∠3[alternate angles]
∠2 = ∠4[alternate angles]
∠1 = ∠7[corresponding angles]
∠4 =∠8[corresponding angles]
∠2 = ∠5[corresponding angles]
∠3 = ∠6[corresponding angles]
Out of many possibilities you have given
If angle 1 is supplementary to angle 2 i.e
∠1 + ∠2=180° , This is the Solution,
As Depicted in the diagram,(∠1,∠4),(∠5,∠6),(∠2,∠3),(∠7,∠8),(∠1,∠5),(∠4,∠6),(∠2,∠7)(∠3,∠8) these angles form linear pair.
Because the sum of each pair of angles is 180°.
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Andre went to a sporting goods store that was having a different sale. He bought a baseball glove and 2 packages of socks. What percentage of the total regular price (before tax) was his savings?
Answer:
I believe the answer would be 5%
Step-by-step explanation:
Firstly, the fact that the sales tax was added may be misleading, it doesn't have significance in the equation as it is calculating before tax. The socks are the only thing Andre saves any money on and that's $2.00
The glove is $34 and the socks normally cost $6.00 meaning the normal total before taxes would be $40.00
The socks, being $2.00 less would mean the total with the discount would be $38.00
the $2.00 difference is what we'd need to look at. we'd decide the difference by the original price which is $40.00 and get 0.05 or.. 5%
Suppose that a certain college class contains 49 students. Of these, 30 are freshmen,22 are psychology majors, and 6 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a freshman and a psychology major? (b) Given that the student selected is a psychology major, what is the probability that she is also a freshman? Write your responses as fractions.
The probability that she is also a freshman is 660/2401 and responses as fractions is 30/39.
Given:
Number of students n =49
P(Freshmen) = 30/49
P(psychology majors) = 22/49
P(Neither)=6/49
(a) Probability that a student selected at random is both a freshman and a psychology major.
P(Freshman and Psychology) = 30/49*22/49= 660/2401
(b) Probability of selecting a freshman student given the student is from a psychology majors.
\(P(freshman/psychology)= P\frac{P(freshman\cap pshychology)}{P(pshychology)}\)
\(= \frac{680}{2401} /\frac{22}{49}\)
\(=\frac{30}{39}\)
Therefore, the probability that she is also a freshman is 660/2401.
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Let's assume that there are many points in 3-D space. Each point has its coordinate as (x, y, z). All x, y, z are floating point value. Anyway, can you sort these 3-D point by an sorting order string "xyz"? That's means x coordinate is primary, y is secondary, z is last priority? The order string can be of any combination of "xyz", "xzy", "yxz", "yzx", "zxy", "zyx" Hint: using lambda expression and Python sorted function Sample Inputs: [(2, 1, 2), (2, 1, 3), (1, 2, 3), (1, 2, 2), (3, 1, 2), (3, 3, 1), (2,3,1), (1, 3, 3), (2, 4, 1)]
The given task is to sort a list of 3-D points based on a given sorting order string using Python's lambda function and sorted function. The sorting order is specified as a string of any combination of 'x', 'y', and 'z', where 'x' represents the primary sorting key, 'y' represents the secondary sorting key, and 'z' represents the last priority.
In Python, we can use a lambda function to define a custom key for sorting using the `sorted()` function. We can create a tuple of the `x`, `y`, and `z` coordinates of each point and pass it as the key to the `sorted()` function. We can use the `index()` method to get the index of the corresponding letter in the sorting order string.Here's an example of the two-line solution to sort the given list of points based on the sorting order string:
```python
sorted_points = sorted(points, key=lambda p: (p[order.index('x')], p[order.index('y')], p[order.index('z')]))
print(sorted_points)
```This will print the sorted list of 3-D points based on the given sorting order string.
In summary, we can use Python's lambda function and sorted function to sort a list of 3-D points based on a given sorting order string. The lambda function creates a tuple of the `x`, `y`, and `z` coordinates for each point based on the sorting order string, and the sorted function sorts the list based on this tuple. The `index()` method is used to get the index of the corresponding letter in the sorting order string.
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