The degree of a vertex is defined as the number of edges that touch the vertex. The (i, j)-th entry of the adjacency matrix tells you whether vertex i touches vertex j (1 if yes, 0 if no). Then the degree of vertex i is equal to the sum of the i-th row in the adjacency matrix.
• vertex 1 : degree = 0 + 1 + 0 + 0 + 1 = 2
• vertex 2 : degree = 1 + 0 + 1 + 1 + 1 = 4
• vertex 3 : degree = 0 + 1 + 0 + 1 + 0 = 2
• vertex 4 : degree = 0 + 1 + 1 + 0 + 1 = 3
• vertex 5 : degree = 1 + 1 + 0 + 1 + 0 = 3
So, the correct answer is A. 2.
When the expression
10x^2/2x^6
is simpified what is the value left in the denominator?
Which location is in the region for plants receiving the
maximum amount of water?
O (-3,-1)
O (-7,1)
O (1,-5)
O (2, 1)
The location which is in the region for plants receiving the maximum amount of water is "(-3,-1)". The Option A is correct.
What determines maximum amount of water reaching a plant?Water flows into the open pore spaces in the soil by gravity, and the size and spacing of the soil particles determine how much water can flow in. Because coarse soils have larger pore spacing at the soil surface, they have a higher infiltration rate than fine soils.
Based on the graph, we observed that the point of location in which is in the region for plants receiving the maximum amount of water is the point (-3,-1). Therefore, we agree that Option A is correct.
Read more about maximum amount
brainly.com/question/82347
#SPJ1
What is the following sum?
5 (RootIndex 3 StartRoot x EndRoot) + 9 (RootIndex 3 StartRoot x EndRoot)
14 (RootIndex 6 StartRoot x EndRoot)
14 (RootIndex 6 StartRoot x squared EndRoot)
14 RootIndex 3 StartRoot x EndRoot)
14 (RootIndex 3 StartRoot x squared EndRoot)
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
On June 22nd, 2010, the S&P 500 was down 17.89 points to close at 1095.31.
3.
What was the value of the S&P
500 before the open on June
22nd, 2010?
4.
By how many percent change points was the S&P 500 down on June 22, 2010
round the answer to the nearest hundredth of a percent?
The value of the S & P 500 before the open on June 22nd, 2010 is 1,113.20 points.
The percent change points is -1.61%/
What is the percent change?The value of the S & P 500 before the open would be higher than the value at the close of June 22nd, 2010. This was because the index declined over the day.
Value before the open of June 22nd, 2010 = value at the close + change
17.89 + 1095.31 = 1,113.20 points
Percentage change = (change in points / points before open) x 100
(-17.89 /1,113.20) x 100 = -1.61%
To learn more about percentages, please check: https://brainly.com/question/25764815
#SPJ1
A certain type of kickboard scooter comes in silver, red, 2
or purple with wheel sizes of 125 millimeters or 180
millimeters. Determine the total number of color-wheel size combinations.
(This is probability and I’m having such a hell of a time figuring it out pls help)
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.
Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:
Total combinations = Number of color options × Number of wheel size options
Total combinations = 4 colors × 2 wheel sizes
Total combinations = 8
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
For more such questions on combinations
https://brainly.com/question/28065038
#SPJ8
find 3 consecutive integers if three times the first integer is two times the third.
Answer:
4, 5, and 6
Step-by-step explanation:
Three Consecutive integers are x, x+1, x+2
We are given 3 times the first integer is 2 times the third
So
3x = 2(x+2)
Solve for x
3x = 2x+4
x = 4 (first integer)
so the 3 integers are 4, 5, and 6
Look at the tape diagram below for the number of boys and the number of girls in a school. Find total number of students in the school.
1) If the 10 kg sugar is Rs. 880 . Find the cost of 15 sugar
2) 50 students in a hostel have provisions for 21 days . How long would it last for 75 students?
1) If the 10 kg sugar is Rs. 880 . Find the cost of 15 kg sugar.....
Solution,
let the required cost be Rs x
Here , the quantities of sugar and their cost are direct proportion
So, 10 : 15 = 8: x
\( \: \frac{10}{15} = \frac{880}{x} \\ x = \frac{880 \times 15}{10} \\ x = Rs1320\)
Hence , the cost of sugar is Rs.1320
-----------------------------------------------------------------
-----------------------------------------------------------------
2) 50 students in a hostel have provisions for 21 days . How long would it last for 75 students?
Solution,
Let the required number of a day = x
Here , the number of student and the number of days are in inverse proportion.
•°• 50 : 75. = x : 21
\( \frac{50}{75} = \frac{x}{21} \\ x = \frac{50 \times 21}{75} \\ x = 14 \: days \\ \)
Hence, the provisions last for 14 days for75 students
~nightmare 5474~
1) The cost of 15 kg sugar is; Rs. 1320
2) The number of days that it would take the provisions to last for 75 students is; 14 days
Proportion1) Cost of 10 kg = Rs. 880
Thus, by proportion the cost of 15 kg sugar will be;
(15 × 880)/10
>> 13200/10
>> Rs. 1320
2) We are told that;
50 students = provisions for 21 days
Thus for 75 students the number of days the provisions would last them is gotten by proportion;
(50 × 21)/75
>> 1050/75
>> 14 days
Read more about proportions at; https://brainly.com/question/1781657
To solve 1/3÷9, James thinks of dividing a loaf of bread into 3 equal parts, dividing one of those parts into 9 equal slices, and then eating one of those slices.
What fraction of the loaf of bread is James thinking about eating?
(Answer as a fraction)
Solitary Savings received an initial deposit of $2000. It kept a percentage of this money in reserve based on the reserve rate and loaned out the rest. The amount it loaned out was eventually all deposited back into the bank. if this cycle continued indefinitely and eventually the $2000 turned into $40,000, what was the reserve rate?
The value of reserve rate is 5%
Given that;
Solitary savings bank received initially amount of $2000.
Now, Let x% percent be kept as reserve then (100-x)% will be loaned out which would be deposited in other bank.
The other bank would keep x% of (100 - x) and again loan the remaining amount.
Thus the total deposits of this cycle would be a geometric series as
⇒ 2000[1 + (100 - x)% + (100 - x)²%+(100-x)² +...]
Here common ratio is,
(100 - x) / 100 = 1 - 0.01x <
for all possible x
This series is infinite and sum of this would be
= sum of geometric series
= 2000 (1/ (x/100)
= 200000/x
This is given as, 40000
Hence, equate and simplify to get;
⇒ x = 5%
So, The value of reserve rate is 5%
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ1
Solve the equation below:
2+2 = x
At Fred's Supermarket cans of artichoke hearts are stacked in a triangular formation for display. Each new row has 5 cans fewer than the row beneath it. ln the display there are 13 rows and the top row contains 1 can. Find the total numbers of cans in the display?
show steps
The total number of cans in the display is 611.
What is the total number of cans in display?Let's denote the number of cans in the first row as x.
According to the problem statement, each subsequent row has 5 fewer cans than the row beneath it.
Therefore, the number of cans in the second row will be x - 5, the number of cans in the third row will be x - 10, and so on.
We are given that there are 13 rows in total, and the top row has 1 can. Therefore, we can write the following equation:
x + (x - 5) + (x - 10) + ... + (x - 60) + (x - 65) = 1 + 2 + 3 + ... + 12 + 13
Simplifying the left-hand side, we can combine like terms:
13x - (5 + 10 + 15 + ... + 60 + 65) = 91
Using the formula for the sum of an arithmetic series, we can evaluate the sum of the numbers in parentheses:
5 + 10 + 15 + ... + 60 + 65 = (13/2)(5 + 65) = 455
Substituting this value into the equation, we get:
13x - 455 = 91
Solving for x, we find that:
x = 46
Therefore, the number of cans in each row is:
46, 41, 36, ..., 1
To find the total number of cans, we can use the formula for the sum of an arithmetic series:
n/2(a + l)
where;
n is the number of terms, a is the first term, and l is the last term.In this case, n = 13, a = 46, and l = 1. Plugging in these values, we get:
13/2 x (46 + 1) = 13/2 x 47 = 611.5
Since we can't have a fraction of a can, the total number of cans in the display is 611.
Learn more about arithmetic series here: https://brainly.com/question/6561461
#SPJ1
5.
Find the length of the unknown side of the right triangle if c is the hypotenuse.
a = √√28, b=6, c = ?
O 6+√28
64
none of the answer choices
O 6√28
O √8
Answer:
none of the answer choices
Step-by-step explanation:
a² + b² = c²
(√28)² + 6² = c²
28 + 36 = c²
c² = 64
√(c²) = √64
c = 8
Answer: none of the answer choices
18 - 5z + 6z > 3 + 6
The given expression is
\(18-5z+6z>3+6\)First, we reduce like terms.
\(18+z>9\)Then, we subtract 18 on each side.
\(\begin{gathered} 18+z-18>9-18 \\ z>-9 \end{gathered}\)Therefore, the solution is all real numbers greater than -9.
what is the answer pss help mw | -4 | _____ -4
Find the area of a circle with a radius of 6.7 m to the nearest square unit.
a.
45 m2
b.
141 m2
c.
564 m2
d.
42 m2
Please select the best answer from the choices provided
A
B
C
D
B is the answer
hope that helped:')
Sofia has a bag containing 8 blue beads and 7 red beads only.
She takes one bead out of the bag at random and replaces it.
She does this 90 times.
Find the number of times she expects to take a red bead.
Answer:
The answer is 42 times.
Step-by-step explanation:
The probability of taking out the red bead from the bag every time is
P = 7 ÷ (7 + 8) = 7/15
So, The number of times she expects to take a red bead is 'n'
Therefore,
n = 90 × 7/15
n = 6 × 7 = 42
Thus, The number of times she expects to take a red bead is 42.
Find the average value of the following numbers: -7,-4.2,-1,0,2,6,10,12
Answer:2.225
Step-by-step explanation:
If you add all the numbers and then divide by the number of numbers given you get the average.
In △ABC, AB=5, BC=4, and AC=3. The triangle is translated left 2 units and up 6 units to △A′B′C′. What is the length of segment A′C′?
A′C′=6
cap A prime cap c prime is equal to 6
A′C′=3
cap A prime cap c prime is equal to 3
A′C′=4
cap A prime cap c prime is equal to 4
A′C′=2
Answer:
3
Step-by-step explanation:
The entire triangle shifts 2 to the left and up 6, the lengths of the sides remain the same, therefore:
AC = A'C' = 3
The point A(-7, 3) is translated onto A' by the vector =(5, -4).
The coordinates of A' are
O (-12,7)
0 (2, -7)
o (5, -4)
o(-2, -1)
Answer:
o(-2,-1)
Step-by-step explanation:
Let point A be initial point and A' be terminal point.
A(-7,3), A'(x,y) and V=(5,-4)
V=(Xf-Xi,Yf-Yi)
(5,-4)=(x-(-7),y-3)
(5,-4)=(x+7,y-3)
5=x+7. -4=y-3
5-7=x. -4+3=y
x=-2. y=-1
A'=(-2,-1)
The coordinates of A'(-2, -1).
What is Translation?Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
Given:
point A(-7, 3)
and vector, V =(5, -4).
So, V=(\(X_f-X_i,Y_f-Y_i\))
Where X(final) = ?, Y(Final)= ?
So, (5,-4)=(x-(-7),y-3)
(5,-4)=(x+7,y-3)
On comparing the coordinates
5=x+7 and -4=y-3
x= 2 and y = -1
Hence, the coordinates of A'(-2, -1)
Learn more about translation here:
https://brainly.com/question/12463306
#SPJ5
figures that formed by intersecting two inverted cones and a plane.
Answer:
hyperbola is formed by intersecting two inverted cones and a plane.
Solve the compound inequality.
4x-5<-2 or x+1>3
The solution of the compound inequality is x < 3/4 or x >2.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
A compound inequality:
4x - 5 < -2 or x + 1 > 3.
Solving inequality,
4x < -2 + 5 or x > 2
4x < 3 or x > 2.
x < 3/4 or x >2.
Therefore, the solution is x < 3/4 or x >2.
To learn more about inequality;
brainly.com/question/28823603
#SPJ1
I WILL GIVE THE BRAINIEST
A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch
However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an
Now let a be the number of students who went on the trip and s9 be the original number of students who had planned to go on the trip
What equation can be written to determine the number of students that went on this trip?
An equation can be written to determine the number of students that went on this trip is: C. \(\frac{1259}{s} + 12=\frac{1259}{s+9}\)
How to write an equation to determine the number of students that went on this trip?In order to write an equation to determine the number of students that went on this trip, we would have to assign a variable and an expression to the number of students who went on the trip and the original number of students who had planned to go on the trip as follows;
Let the variable s represent the number of students who went on the trip.Let the expression s + 9 represent the original number of students who had planned to go on the trip.Since a total of $1259 was collected from all of the students with 9 students dropping out and their portion of the money collected given back to them while the students that are all still going must contribute an additional $12, an equation to determine the number of students that went on this trip is given by;
\(\frac{1259}{s} + 12=\frac{1259}{s+9}\)
Read more on solution and equation here: brainly.com/question/25858757
#SPJ1
Complete Question:
A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch.
However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an additional $12 each to cover all of the cost.
Now let s be the number of students who went on the trip and s + 9 be the original number of students who had planned to go on the trip
What equation can be written to determine the number of students that went on this trip?
In the figure below, AB is a diameter of circle P.
What is the arc measure of minor arc AC in degrees?
Answer:
111degrees
Step-by-step explanation:
ArcAC + arcBC = 180
Given theat arcBC = 69degrees
arcAC + 69 = 180
arcAC = 180 - 69
arcAC = 111
Hence the length of minpr arc AC is 111degrees
The fraction of PKR 1 is 50 paisas
The fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
What is a fraction?A fraction is a numerical representation of the division of the two terms x and y, as follows:
Fraction = x/y.
As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
More can be learned about fractions at brainly.com/question/1622425
#SPJ1
Gianna and Victor both think they are the fastest texter! Gianna types 168 words in
4 minutes. Victor types 246 words in 6 minutes. Who is the REAL "fastest texter?"
Please help me
Answer:
Gianna is the faster texter. She types 42 wpm, while Victor types 41 wpm.
Step-by-step explanation:
Calculate the unit rates. Time is usually on the bottom. For example, to calculate how many words Gianna types in a minute, use the expression 168/4.
Answer:
Gianna is the faster texter
Step-by-step explanation:
168/4 = 42 wpm for Gianna
246/6 = 41 wpm for Victor
170 What is the mZBAC?
Answer:
m<BAC = 85°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of its intercepted arc.
m<BAC = 170°/2
m<BAC = 85°
What is the volume of a cube with an edge length of 7.3 cm?
Enter your answer in the box
Answer:
389.017 cm³
Step-by-step explanation:
Given:
Side length of cube = 7.3 cmThe volume of a cube is the cube of the side length.
V = (side length)³Substitute the side length of the cube to determine the volume of the cube.
⇒ V = (s)³
⇒ V = (7.3)³
⇒ V = (7.3)(7.3)(7.3) = 389.017 cm³
Answer: 389.017
Step-by-step explanation: I just took the test.
help asap no rocky please
50 points! Mhanifa please help on it I just posted it and there are already 2 answers please hurry! Thanks!
Answer:
The third one.
Step-by-step explanation: