Answer:
coordinates for the centroid is at (-3, -4)
Step-by-step explanation:
The centroid of a triangle is simply defined as the center point which is equidistant from the three vertices.
Let's denote the centroid as O. Thus, the coordinates of O will be: (O_x, O_y).
Now, the formula to calculate the centroid of a triangle with coordinates (O_x, O_y) is given by;
For x - coordinate;
O_x = (A_x + B_x + C_x)/3
For y - coordinate;
O_y = (A_y + B_y + C_y)/3
From the question,
A_x = 1
B_x = -10
C_x = 0
A_y = 0
B_y = -6
C_y = -6
Thus;
O_x = (1 - 10 + 0)/3
O_x = -9/3
O_x = -3
Also,
O_y = (0 - 6 - 6)/3
O_y = - 12/3
O_y = - 4
Thus, coordinates for the centroid is at (-3, -4)
a bucket full of milk is 80cl,how many litres are in 15 of such
Answer:
1.2 liters
Step-by-step explanation:
1 bucket has a volume of 80 cL.
15 buckets have a volume of 15 * 80 cL = 120 cL
1 L = 100 cL
120 cL * (1 L)/(100 cL) = 1.2 L
what is 2(4 – 16) – (–30)
Convert 1 million seconds into years (round to 3 decimal places)
Answer:
that would be 0.032 because 1 million secs is 11 days 13 hours 46 minutes and 40 secs
Answer:
0.032 years.
Step-by-step explanation:
1 year = 365 * 24 * 60 * 60 = 31,536,000 seconds.
= 1000000 / 31,536,000
= 0.03170979
Please help what is the area?
Answer: 70 square units
please i need help!! Translate these words into symbols: The sum of fifteen and a number q equals the product of six and a number q
Answer:
15 + q = 6q
Step-by-step explanation:
Find the circumference of a circle with radius of 18 in. Leave your answer in terms of pi.
A. 18 pi in.
B. 324 pi in.
C. 54 pi in.
D. 36 pi in.
Answer:
36pi. in. answer is D
Step-by-step explanation:
C = 2(18)pi= 36pi in
The following boxplot is of the birth weights (in ounces) of 160 infants born in a local hospital The following boxplot is of the birth weights (in ounces) of 160 infants born in a local hospital
About 40 of the birth weights were below?
A) 92 ounces B) 102 ounces C) 112 ounces D) 122 ounces
This question is Incomplete because it lacks the diagram of the box plot. Please find attached the diagram of the box plot
Answer:
B) 102 ounces
Step-by-step explanation:
Looking at the attached diagram, we can see the box plot it divided into different segment
The median weight of the babies = 110 ounces
The maximum weight of the babies is between = 140 and 130, approximately let's say 135 ounces
The minimum weight is 80 ounces
Then the box in the middle is divided into 3
It has the First Quartile
Median
And third Quartile
Since we have 160 infants born in the local hospital, about 40 of the birthweights we fall into
= 40/160 = 1/4
1/4 represents the first Quartile
Looking at the box plot, 40 of the birthweights were below 102 ounces.
Solve and check the solution 5/8 = 1/2(a + 2) please help me
Answer:
[tex]a=-\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{5}{8}=\frac{1}{2}\left(a+2\right)\\\\Switch\: sides\\\frac{1}{2}\left(a+2\right)=\frac{5}{8}\\\\\mathrm{Multiply\:both\:sides\:by\:}2\\2\times\frac{1}{2}\left(a+2\right)=\frac{5\times\:2}{8}\\\\Simplify\\a+2=\frac{5}{4}\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\a+2-2=\frac{5}{4}-2\\\\Simplify\\a=-\frac{3}{4}[/tex]
Check[tex]\frac{5}{8} = \frac{1}{2}\left(-\frac{3}{4}+2\right) \\\\\mathrm{Multiply\:fractions}:\\\\\quad \:a\times\frac{b}{c}=\frac{a\:\times \:b}{c}\\\\\frac{5}{8}=\frac{1\times \left(-\frac{3}{4}+2\right)}{2}\\\\\frac{5}{8}=\frac{1\times\left(-\frac{3}{4}+2\right)}{2}\\\frac{5}{8}=\frac{-\frac{3}{4}+2}{2}\\\\\mathrm{Join}\:-\frac{3}{4}+2:\quad \frac{5}{4}\\\frac{5}{8}=\frac{\frac{5}{4}}{2}\\\\\frac{5}{8}=\frac{5}{4\times\:2}\\\\\frac{5}{8}=\frac{5}{8}[/tex]FIll in the blank to make the equation true: (−8−4)÷[]=−6
Answer:
2
Step-by-step explanation:
-8-4/x= -6
multiply x to both sides of the equation.
-8-4= -6x
solve -8-4. (-12)
-12= -6x
divide both sides by -6.
2=x
Between which two integers is the positive value of the square root of 55?
I believe its between the integers of 7 and 8.
Answer:
7 and 8
Step-by-step explanation:
√55 is in between 49 and 64. Get 49 and 64 squared and you will get 7 and 8.
Suppose a change of coordinates T:R2→R2 from the uv-plane to the xy-plane is given by x=e−2ucos(5v), y=e−2usin(5v). Find the absolute value of the determinant of the Jacobian for this change of coordinates.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The solution is [tex]\frac{\delta (x,y)}{\delta (u, v)} | = 10e^{-4u}[/tex]
Step-by-step explanation:
From the question we are told that
[tex]x = e^{-2a} cos (5v)[/tex]
and [tex]y = e^{-2a} sin(5v)[/tex]
Generally the absolute value of the determinant of the Jacobian for this change of coordinates is mathematically evaluated as
[tex]| \frac{\delta (x,y)}{\delta (u, v)} | = | \ det \left[\begin{array}{ccc}{\frac{\delta x}{\delta u} }&{\frac{\delta x}{\delta v} }\\\frac{\delta y}{\delta u}&\frac{\delta y}{\delta v}\end{array}\right] |[/tex]
[tex]= |\ det\ \left[\begin{array}{ccc}{-2e^{-2u} cos(5v)}&{-5e^{-2u} sin(5v)}\\{-2e^{-2u} sin(5v)}&{-2e^{-2u} cos(5v)}\end{array}\right] |[/tex]
[tex]Let \ a = -2e^{-2u} cos(5v), \\ b=-2e^{-2u} sin(5v),\\c =-2e^{-2u} sin(5v),\\d=-2e^{-2u} cos(5v)[/tex]
So
[tex]\frac{\delta (x,y)}{\delta (u, v)} | = |det \left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] |[/tex]
=> [tex]\frac{\delta (x,y)}{\delta (u, v)} | = | a * b - c* d |[/tex]
substituting for a, b, c,d
=> [tex]\frac{\delta (x,y)}{\delta (u, v)} | = | -10 (e^{-2u})^2 cos^2 (5v) - 10 e^{-4u} sin^2(5v)|[/tex]
=> [tex]\frac{\delta (x,y)}{\delta (u, v)} | = | -10 e^{-4u} (cos^2 (5v) + sin^2 (5v))|[/tex]
=> [tex]\frac{\delta (x,y)}{\delta (u, v)} | = 10e^{-4u}[/tex]
13.845 - 10.87-
What is this
Answer:
2.975
Step-by-step explanation:
yeah i don't have an explanation I used a calculator
Answer:
2.975
Step-by-step explanation:
Yosef is trying to determine whether or not he drinks enough water each day. Today, on average, he drank Two-fifths of a glass of water every hour for 10 hours. To determine how much water he had, he set up the equation, Two-fifths times 10 ?. What is the total amount of water Yosef drank?
Step-by-step explanation:
the answer would be 4 glasses of water
To solve n+7=15 you should first
Answer:
Collect like terms and simplifySubtract 7 from both sidesStep-by-step explanation:
METHOD 1
[tex]n+7=15\\n =15-7\\n = 8[/tex]
METHOD 2
[tex]n+7-7=15-7\\n =8[/tex]
Answer:
Subtract 7 from both sides.
Step-by-step explanation:
Step 1:
n = 15 - 7
Answer:
n = 8
Hope This Helps :)
BC=6x+4, AC=52, and AB=4x+8 find BC
Answer:
i'm not sure if it is the right answer or not
Step-by-step explanation:
Let's assume AC is a straight line and B is one the line, between A and C
AC-AB=BC
52-4x-8=6x+4
10x=40
x=4
--> BC=6x+4=6.4+4=28
Which of the following statements best describes adjacent angles
Answer:
The correct answer to this would be D, adjacent angles share a side.
Step-by-step explanation:
Adjacent angles share a common side as well as a common vertex.
I hope this helps :)
The statement that best describes adjacent angles is that adjacent angles share a side.
What is a vertex ?A vertex is where two non parallel lines meet.For example a triangle has 3 vertex.We can also say that vertex is a point where two non parallel lines meet to form an angle.
According to the given question the best description of adjacent angle is that they share a side.
We can say that adjacent angles are those angles which are placed next to each other.
Adjacent angle also share a common vertex but they do not overlap each other.
learn more about vertex here :
https://brainly.com/question/12563262
#SPJ2
How do I factor 4x^2-12x^3?
f(x) = 2x2 + 5x + 20
Find f(-9)
Answer: f(-9)=137
Step-by-step explanation:
To find f(-9), you plug in -9 into x.
f(-9)=2(-9)²+5(-9)+20 [solve parenthesis]
f(-9)=2(81)-45+20 [multiply]
f(-9)=162-45+20 [subtract]
f(-9)=117+20 [add]
f(-9)=137
(2x)4 written without exponents
Answer:
(2x)(2x)(2x)(2x)
Step-by-step explanation:
I assume the 4 is an exponent.
(2x)^4 = (2x)(2x)(2x)(2x)
What information can you obtain about the scores in a regular frequency distribution table that is not available from a grouped table.
A. The number and width of the class intervals
B. The exact frequency for each category on the scale of measurement
C. The overall frequency for each class interval
Answer: B. The exact frequency for each category on the scale of measurement
Step-by-step explanation: The main difference between a grouped table and regular frequency distribution exists in the fact that ; grouped table takes in a defined range of (X) values, that is takes more than one individual value per group and takes the frequency of all scores or values in the group, hence giving the frequency of the scores in the interval rather than the frequency of each individual score. On the other hand, the regular frequency distribution treats values or scores individually and then takes the frequency of each score. This way a regular frequency distribution enables us to know the exact number or distribution of each individual score.
The information in a regular frequency distribution table that is not available from a grouped table is (b) the exact frequency for each category on the scale of measurement
There are several similarities between a regular frequency table, and a grouped frequency table.
However, both frequency tables have a major difference.
This difference is in the frequency of the data they represent
While a regular frequency table shows the exact frequency of each data element, a grouped frequency table cannot show the exact frequency of each data element.
Hence, the true option is (b)
Read more about frequency distribution table at:
https://brainly.com/question/1094036
Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5+2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 612 + x) = 2(3x + 8)
Answer:
[tex]4(x + 3) + 2x = 6(x + 2)[/tex][tex]5 + 2(3 + 2x) = x + 3(x + 1)[/tex]Step-by-step explanation:
[tex]5(x + 3) + x = 4(x + 3) + 3 \\ 5x + 15 + x = 4x + 12 + 3 \\ 5x + x - 4x = 12 + 3 - 15 \\ 2x = 0[/tex]
Divide both sides of the equation by 2
2x/2 = 0/2
x = 0
(4+612+x)=2(3x+8)
4+612+x=6x+16
4+612-16=6x-x
600=5x
Divide both sides of the equation by 5
600/5 = 5x
120 = x
Answer:
Its B. 5+2(3 + 2x) = x + 3(x + 1)
Step-by-step explanation:
I just took the test on edge
The length of Tom’s rectangular classroom floor is 8 feet longer than 2 times the
width. The perimeter of his classroom floor is 124 feet. Write and solve an
equation to find the length of his classroom.
Answer:
Length= 44 feet
Width= 18 feet
Step-by-step explanation:
Let the length= x
Let the width = y
Length is 8 feet longer than 2 times the
width.
X= 8+2y
The perimeter of his classroom floor is 124 feet
Perimeter= 2(x+y)
124= 2x+2y
But x= 8+2y
124= 2x+2y
124= 2(8+2y) +2y
124= 16 +4y +2y
124-16= 6y
108= 6y
18 = y
Width= 18 feet
X= 8+2y
X= 8 +2(18)
X= 8+36
X= 44
Length= 44 feet
....................
Answer:
what's the Question???
Step-by-step explanation:
Is 8.73 a rational number
Answer:
Yes
Step-by-step explanation:
8 73/ 100=8.73
5/8x3/5
help please
Answer:
3/8
Step-by-step explanation:
reduce the numbers with the greates componentes factor. 5 and then calculate the product
A cafeteria worker knows that it takes 3 bottles of juice to serve a table of 18 students. How many bottles of juice are needed for 24 students? How many bottles of juice are needed for 42 students?
Answer:7
Step-by-step explanation:
quik math
A political action committee is interested in the proportion of all registered voters who will vote "Yes" on a measure to expand the use of solar energy. Match the vocabulary word with its corresponding example.
Answer:
f= The proportion of registered voters who will vote Yes on the measure. a= The 1000 registered voters who participated in the study. b= The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure. e= Yes or No for each registered voter. f= All registered voters in the US. d= The list of Yes and No answers that were given by the 1000 participants in the study.Step-by-step explanation:
See attached. Continuation of the question:
__________The proportion of registered voters who will vote Yes on the measure. __________The 1000 registered voters who participated in the study. __________The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure. _________Yes or No for each registered voter All registered voters in the US _________The list of Yes and No answers that were given by the 1000 participants in the study a. Sample b. Statistic c. Parameter d. Data e. Variable f. PopulationSolutionComparing definitions of the vocabulary words on the bottom of the question, we can match the examples as follows:
Parameter = The proportion of registered voters who will vote Yes on the measureSample = The 1000 registered voters who participated in the studyStatistic = The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measureVariable = Yes or No for each registered voterPopulation = All registered voters in the USData = The list of Yes and No answers that were given by the 1000 participants in the studyLast year, Dana grew 1/2 of an inch and her brother grew 1/8 of an inch. How much more did Dana grow than her brother?
Answer:
3/8 inch
Step-by-step explanation:
1/2 of an inch is equal to 4/8
4/8-1/8=3/8
Hope this helps :-)
3/2•3/2•3/2•3/2 rewrite product in exponential form
Answer:
1.5^4
Step-by-step explanation:
The product for this expression is 1.5 multiplied by itself 4 times. This means you raise it to the fourth power, thus giving you 3/2^4 or 1.5^4.
A company says their cough syrup, called Cough-Up, is real effective and that 7 out of 10 doctors prefer it over any competitors. Using the given ratio, answer the following questions If there are 40 doctors, how many prefer Cough-Up? Your answer
Answer:
40÷10=4
7×4=28
18 doctors