The point (0, 0) lies in the shaded region and satisfies the solution for the inequality y ≥ 3x - 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the inequality y ≥ 3x - 2, since the point (0, 0) lies on the shaded region, hence:
0 ≥ 3(0) - 2
0 ≥ -2
The point (0, 0) satisfies the solution for the inequality y ≥ 3x - 2
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What is the area of this figure?
Consider a data set {7,10,20,28,35), perform hierarchical clustering using the single linkage and plot the dendogram to visualize it (note you need to do it by hand without using software package).
This gives us a dendrogram with three levels, where the first level has two clusters {{7,10},{20,28}} and {35}, the second level has two clusters {{7,10,20,28},35}, and the third level has only one cluster {{7,10,20,28,35}}.
What is a sequence?
A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).
To perform hierarchical clustering using single linkage, we start by treating each point as its own cluster, and then iteratively merge the two closest clusters until only one cluster remains. We use the single linkage method, which defines the distance between two clusters as the minimum distance between any two points in the clusters.
First, we calculate the pairwise distances between each point:
7 10 20 28 35
7 - 3 13 21 28
10 3 - 10 18 25
20 13 10 - 8 15
28 21 18 8 - 7
35 28 25 15 7 -
Next, we find the two closest points/clusters and merge them:
7,10 20 28 35
7,10 - 10 18 25
20 10 - 8 15
28 18 8 - 7
35 25 15 7 -
The closest points/clusters are 7 and 10, so we merge them to form a new cluster {7,10}.
7,10 20,28 35
7,10 - 18 25
20,28 18 - 7
35 25 7 -
The closest points/clusters are now {20,28} and 35, so we merge them to form a new cluster {{20,28},35}.
7,10 {20,28,35}
7,10 - 7
{20,28,35} 7 -
The closest points/clusters are now {7,10} and {{20,28},35}, so we merge them to form a new cluster {{{7,10},{20,28}},35}.
Hence, This gives us a dendrogram with three levels, where the first level has two clusters {{7,10},{20,28}} and {35}, the second level has two clusters {{7,10,20,28},35}, and the third level has only one cluster {{7,10,20,28,35}}.
The dendrogram can be visualized as in the attached image.
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You are trying to order 14 pound of saffron, but the ordering system wants a decimal. What should you type in?
Answer:
1.4x10^1
Step-by-step explanation:
1.4 multiplied by 10 to the power of 1 is 14
You could also just put in 14.0 because that is also a decimal
Hope this helped!
Answer:
1.4
Step-by-step explanation:
The circumference of a circle is 7.22cm and pi is 3.14, what is the diameter?
Answer:
2.30 cm
Step-by-step explanation:
Circumference of circle= πD, where D is the diameter.
Substitute all the given information into the formula:
7.22= 3.14D
Divide both sides by 3.14:
D= 7.22 ÷3.14
D= 2.30 (3 s.f.)
Thus, the diameter is 2.30 cm. (rounded off to 3 significant figures)
Arrange each set of numbers in increasing
4.56 x 10-2, 4.56 x 103, 4.56 X 102,4.56 x 10-3
Sandy works at a clothing store. She makes $8 per hour plus earns 10% commission on her sales. She worked 77 hours over the
last two weeks and had a total of $2,708 in sales before taxes.
Which of the following is closest to how much she will earn in hourly wages and commission for those two weeks?
OA. $616
OB. $271
C. $332
D. $887
Answer:
Step-by-step explanation:
Payment per hour is $8
commission is 15%
Total number of hours worked for 2 weeks is 73 hours
Total sales=$2095
commission earned for 2 weeks:
15/100×2095
=$314.25
Total amount earned in 73 hours:
73×8=$584
Total amount earned in commission and wages:
584+314.25
=$898.25
Answer:
D
Step-by-step explanation:
a folder and a paper clip cost $1.10 in total. the folder costs $1.00 more than the clip. how much does the paper clip cost?
The paper clip costs $0.05 and the folder Costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.
Let's solve this problem step by step:
Let's assume the cost of the paper clip is x dollars.
According to the information given, the folder costs $1.00 more than the paper clip, so the cost of the folder would be (x + $1.00).
The total cost of the folder and the paper clip is $1.10, so we can write the equation:
x + (x + $1.00) = $1.10
Combining like terms, we have:
2x + $1.00 = $1.10
Subtracting $1.00 from both sides of the equation, we get:
2x = $0.10
Dividing both sides by 2, we find the value of x:
x = $0.10 / 2
x = $0.05
Therefore, the paper clip costs $0.05.
In summary, the paper clip costs $0.05 and the folder costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.
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On a coordinate plane, point F is located at points 3, 7 and point G is located at points 9,7. whats the distance in units between point F and point G? Enter the answer in the box.
Answer:
6 units
Step-by-step explanation:
since the y- coordinates of both points are 7 then the horizontal distance between the points is the absolute value of the difference in the x- coordinates , that is
d = | 9 - 3 | = | 6 | = 6 units , or
d = | 3 - 9 | = | - 6 | = 6 units
What is the domain and range of y = log(-x + 3) - 1?
Answer:
The argument of the logarithmic function should be greater than zero.
Thus, for y = log(-x + 3) - 1 to be real-valued, we need:
-x + 3 > 0
or
x < 3
So, the domain of the function is all real numbers less than 3.
To find the range, let's consider the behavior of the logarithmic function.
As x approaches 3 from the left, the argument of the logarithm approaches zero from the negative side, which means the logarithm approaches negative infinity.
As x approaches negative infinity, the argument of the logarithm becomes very large and negative, which means the logarithm approaches negative infinity.
Therefore, the range of the function y = log(-x + 3) - 1 is all real numbers.
Step-by-step explanation:
please hand solve and show steps
(a) Find the dual of the LP .
(b) Find the standard form of the LP and dual.
(c)Optimal solution for the primal problem is: x ∗ 1 = 20, x∗ 2
= 60, s∗ 1 = 0, s∗
objective m constraints n decision variables Consider the following LP. Primal and Dual pair min b₁y₁+ max C₁x₁++GX+ CnXn 8/1X1 +2X2 + + ax ≤ bi ax1 + a2x2 + +anxn bi a/1X1 + a2x2 + +anxn 2
(a) Find the dual of the LP.Primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\) subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n \leq\) \(b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n \leq b_m$ and $x_1, x_2,\)..., x_n\(\geq 0$\)
Let us find the dual of the above primal problem.
Dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq\)\(C_1$...$a_{1n}y_1+a_{2n}y_2+...+a_{mn}y_m \leq C_n$\)
and\($y_1, y_2, ..., y_m \geq 0$\)
(b) Find the standard form of the LP and dual.Standard form of the primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\)subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n +s_1 = b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n +s_m = b_m$\) and\($x_1, x_2, ..., x_n, s_1, s_2, ..., s_m \geq 0$\)
Standard form of the dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq 0$...$a_{1n}y\)
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pyriamid a square base that measures 140 m on each side. the height is 91 m. what is the volume of the pyramid?
The volume of the pyramid is approximately 574,533.33 cubic meters.
To find the volume of a pyramid, you use the formula: V = (1/3) × base area × height, where B is the area of the base and h is the height of the pyramid.
Given that the side length of the square base is 140 m and the height is 91 m.
Since the base of the pyramid is a square with a side length of 140 m, we can find its area by multiplying the side lengths: B = 140m x 140m = 19,600 square meters.
By calculating this expression, you'll find the volume of the pyramid.
Now we can plug in the values for B and h into the formula: V = (1/3)(19,600 square meters)(91 meters) = 574,533.33 cubic meters.
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Clare bought a photo for 17 cents and paid with a $5 bill.
Which way of writing the numbers could Clare use to find the change she should receive? Hundreds place, tenths place, or ones place?
5 5 5
-0.17 -0.17 -0.17
Answer:
hundredths place
Step-by-step explanation:
because after the decimal it starts in tenth place and you want enough room to make it -0.17
Answer:
Step-by-step explanation:
b b
A + B + C = 12
4A - 4B + 2C = -16 -
3A + 3B - C = 4
Solve the system
Answer:
Step-by-step explanation:
Add them all together which is
ABC124A4B2C-16-3A3B-C yep
Help please!
Brainliest + 20 points
Answer:
im not sure but pls gimme brainlyist bc im a dum dum
Step-by-step explanation:
According to the general equation for conditional probability, if P(A∩B)=3/7 and P(B)=7/8 , what is P(A|B) ?
According to the general equation for conditional probability, the conditional probability of event A given event B is calculated as
P(A|B) = 24/49
Given that P(A∩B) = 3/7 and P(B) = 7/8, we can substitute these values into the equation:
P(A|B) = (3/7) / (7/8)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
P(A|B) = (3/7) * (8/7)
Simplifying the expression, we have:
P(A|B) = 24/49
Therefore, the probability of event A given event B is 24/49.
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(b) 1 litre of paint covers an area of 20 m2. Work out the volume of paint needed to cover a 15m2 wall.
We need 0.75 litres of paint to cover a 15m2 wall, assuming the paint has a coverage of 20m2 per litre.
To cover a 15m2 wall with a paint that has a coverage of 20m2 per litre, we need 0.75 litres of paint.
We can find this by dividing the area to be covered (15m2) by the coverage of the paint per litre (20m2/litre):
15m2 ÷ 20m2/litre = 0.75 litres
Therefore, we need 0.75 litres of paint to cover a 15m2 wall, assuming the paint has a coverage of 20m2 per litre.
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Una chica tiene 15 años y su padre 45. Hallar la razón entre la edad de la hija y la edad del padre
During study hall, Kenji finished 2 out of 8 problems from his math homework. Bill did 1 out of 3 problems from his math homework. Who did a greater percentage of his math problems?
Kenji or Bill
Bill has a greater percentage of his math problems than kenji.
What is percentage ?
Percentage can be defined as the product of ratio of given value, total value and hundred.
Given ,
During study hall, Kenji finished 2 out of 8 problems from his math homework. Bill did 1 out of 3 problems from his math homework.
SO,
Kenji percentage = 2 / 8 * 100
= 1/4 * 100
= 25
Bill percentage = 1/3 * 100
= 33.33
so, the percentage of bill is more than Kenji.
Therefore, Bill has a greater percentage of his math problems than kenji.
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The quotient of w and 2 increased by a number t
Answer:
w/2 + t
Step-by-step explanation:
The quotient of is the result of dividing two terms then you just simply add t since it's increasing.
calculate the mean and median number of hours rashawn listened to music for the 6 days. round your answers to the nearest tenth.
The mean and median number of hours Rashawn spend in listening to music is 5.7 hours and 6 hours, under the condition that there were 6 days in which Rashawn listened to music.
Now to evaluate the mean number of hours Rashawn listened to music for the 6 days, we have to sum up all the hours and divide by the number of days.
Then, total number of hours Rashawn heard music for 6 days is
= 6 + 5 + 5 + 6 + 5 + 7
= 34 hours
Mean = Total number of hours / Number of days
= 34 / 6
= 5.7 hours
Now,
For evaluating the median number of hours Rashawn heard music in the interval of 6 days
We have to set the number in the order of smallest to largest
The numbers in order are 5, 5, 5, 6, 6, 7
The median is the middle value which is 6
The mean and median number of hours Rashawn spend in listening to music is 5.7 hours and 6 hours, under the condition that there were 6 days in which Rashawn listened to music.
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The complete question is
Rashawn kept a record of how many hours he spent listening to music for 6 days during school vacation and displayed his results in the table
Day -
Monday
Number of hours - 6
Tuesday
Number of hours - 5
Wednesday
Number of hours - 5
Thursday
Number of hours - 6
Friday
Number of hours - 5
Saturday
Number of hours - 7
calculate the mean and median number of hours Rashawn listened to music for the 6 days. Round your answers to the nearest tenth.
evaluate the expression 2(4y+5y)if x=2 and y=1
plsss answer
\(\large \mathfrak{Solution : }\)
let's solve for y :
\(2(4y + 5y)\)\(2(9y)\)\(18y\)\(18 \times 1 \: \: \: \: \: (since, \: \: y = 1)\)\(18\)therefore, the value of above expression is 18 .
Find the area of the region shaded in green. Use 3.14 to approximate pi.
Answer:
254 cm² (to 3 s.f.)
Step-by-step explanation:
Area of shaded region
= area of large circle -area of smaller circle
\(\boxed{area \: of \: circle = \pi {r}^{2} }\)
Radius of large circle= 15cm
Radius of smaller circle= 12cm
Area of shaded region
= π(15²) -π(12²)
= 225π -144π
= 81π
= 81(3.14)
= 254.34
= 254 cm² (3 s.f.)
Need Help ASAP!!!!!!!
A line is defined by the equation y=2/3x-8. The line passes through a point whose y- coordinate is 0. What is the x-coordinates of this point?
The LCM is the product of1. factors on the left side.2. factors on the right side.3. all of the factors.
The least common multiple refers to the common multiple for the give numbers.
Among the answer choice, number 3 makes more sense. All the product of the common factors is the LCM.
please help its due today
The measure of the angles are: K, L, C, N, O G = -3/4, 65, 8 40.4, 89 and 44 respectively
How to find the measure of the angles?To determine K
9x + 2 = 23 + 5x -1
9x -5x = -1 +2
4x = -3Making x the subject we have
x= -3/4
To find the value of L
Let angle L be x
x + 65 = 130
x=130-65
That is x = 65
To find the m<C
4x + 7 = 3x + 15
Collecting like terms
4x - 3x = 15-7
Making x the subject of the relation we have
x=8
To find the m<N
7x + 6x - 1 = 90
13x = 89
x=89/13
x= 6.9
Substitute x = 6.9 in 6x -1
6(6.9) -1
m<L = 40.4
To find the m<O
5x - 11 = 4x +9
5x-4x = 9 +11
x=20
By substitution in 4x +9 we have
4(20) +9
80+9
m<S = 89
To find the value of the angle G
6x - 4 = 5x +4
6x - 5x = 4+4
x = 8
Therefore the m<G is
5x +4
5(8) +4
40+4 = 44 digress
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What are the measures of angles b and d? ∠b = 55°; ∠d = 55° ∠b = 55°; ∠d = 125° ∠b = 97°; ∠d = 97° ∠b = 83°; ∠d = 97°
In parallelogram ABCD, ∠b = 55°; ∠d = 55. So, the correct answer is (a).
We know that opposite angles of a parallelogram are congruent. In another words, opposite angles of parallelogram are equal. Therefore, we equate the angle B and angle D to each other and solve.
angle B = angle D
2n + 15 = 3n - 15
n = 30
The value of n is 30.
Now we can find the measures of angles B and D:
angle B = 2n + 15 = 2(30) + 15 = 75 degrees
angle D = 3n - 15 = 3(30) - 15 = 75 degrees
Therefore, the answer is (a) ∠b = 55°; ∠d = 55
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____The given question is incomplete, the complete question is given below:
In parallelogram ABCD measure of angle b is 2n+15 and angle d is 3n - 15. What are the measures of angles b and d? a)∠b = 55°; ∠d = 55° b) ∠b = 55°; ∠d = 125° c) ∠b = 97°; ∠d = 97° d)∠b = 83°; ∠d = 97°
Answer:
The Answer is A
Step-by-step explanation:
I just took the test! 2023Edg
A cone has a base radius of length rr, and an perpendicular height length hh. If the height remains the same, and the radius is multiplied by 3, then the volume is multiplied by:
If the radius is multiplied by three and the height is unchanged, then the volume of the cone is multiplied by 9.
V = volume of original cone = (1/3)πr2h
The volume of a cone with radius 3r and height h is: (1/3)π(3r)2h = 9[(1/3)πr2h] = 9V
If the radius is multiplied by three and the height is unchanged, then the volume of the cone is multiplied by 9.
Problem-solving is the act of defining a problem; determining the purpose of the problem; identifying, prioritizing, and selecting alternatives for an answer; and imposing a solution. The Problem-solving process. hassle fixing assets.
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Mr stokes placed 5 marbles in a bag. I’m looking for A,B,C,D,E
Answer:
B,C,D,E,A
Step-by-step explanation:
Btw, Mr. Stokes from RTMS?
a. Use Taylor's formula with n = 2 to find the quadratic approximation of f(x) = (1 + x)^k:x= 0 (k a constant). b. If k = 4, for approximately what values of x in the interval [0,1] will the error in the quadratic approximation be less than 1/100? a. What is the quadratic approximation of f(x)= (1 + x)^k at x =:0? Q(x) =
. The quadratic approximation of the function f(x) = (1 + x)^k at x = 0 using Taylor's formula with n = 2 is Q(x) = 1 + kx + (k(k-1)/2)\(x^{2}\)
To find the quadratic approximation, we need to use Taylor's formula with n = 2. The formula for the quadratic approximation Q(x) is given by:
Q(x) = f(0) + f'(0)x + (1/2)f''(0)\(x^{2}\)
Since f(x) =\((1 + x)^{k}\), we first find the derivatives of f(x) up to the second order. Taking the derivatives, we have:
f'(x) = k\((1 + x)^{k-1}\)
f''(x) = k(k-1)\((1 + x)^{k-2}\)
Now, we substitute these derivatives into the quadratic approximation formula:
Q(x) = f(0) + f'(0)x + (1/2)f''(0)\(x^{2}\)
At x = 0, we have:
Q(0) = f(0) + f'(0)(0) + (1/2)×0
= f(0)
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Why is 3/4 greater then 11/16
Answer:
3/4 is greater
Step-by-step explanation:
If you change them both into decimals. You can see that 3/4 is larger
3/4 = .75
11/16 = .6875
Put in your calculator 3÷4 and 11÷16
Answer:
3/4 is larger because
\(\frac{3}{4}\)*\(\frac{4}{4}\)=\(\frac{12}{16}\) \(\frac{12}{16}\) > \(\frac{11}{16}\)
Step-by-step explanation:
When making the denominators equal it is clear to see that 3/4 which is equal to 12/16 is greater than 11/16.