Answer:
[tex](x,y) = (17,16)[/tex]
Step-by-step explanation:
Given
[tex]T(x_1,y_1) = (4, 1)[/tex]
[tex]U(x_2,y_2) = (30, 11)[/tex]
[tex]V(x_3,y_3) = (17, 36)[/tex]
Required
Determine the coordinates of the centroid
The coordinate is calculated as:
[tex](x,y) = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3))[/tex]
Substitute values for x's and y's
[tex](x,y) = (\frac{1}{3}(4+30+17),\frac{1}{3}(1+11+36))[/tex]
[tex](x,y) = (\frac{1}{3}(51),\frac{1}{3}(48))[/tex]
[tex](x,y) = (\frac{51}{3},\frac{48}{3})[/tex]
[tex](x,y) = (17,16)[/tex]
Hence, the coordinates of the centroid is (17,16)
Which expression is equivalent to the one given? 3 ( 2 n − 4 ) + 6 n
Answer:
7n-12
Step-by-step explanation:
Answer:
Step-by-step explanation:
12 n - 12
what is 2÷ 5/12 ??? pls help me im rly stuck on this question??
Answer:
4.8
Step-by-step explanation:
please get this done quick
Answer:
its A: (-1,-1/2)
Step-by-step explanation:
Find the holes in the graph by factoring and cancelling.
To find the quotient 5/7 divided by 1/3 multiply..
Answers:
Multiply 7/5 by 1/3
Multiply 7/5 by 3
Multiply 5/7 by 3
Multiply 5/7 by 1/3
Answer:
Multiply 5/7 by 3
Step-by-step explanation:
To find the quotient (division) multiply by the reciprocal. The reciprocal of 1/3 is 3.
-7.4r - 6.31 = 3.23 - 5.6r
Answer:
r=−5.3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−7.4r−6.31=3.23−5.6r
−7.4r+−6.31=3.23+−5.6r
−7.4r−6.31=−5.6r+3.23
Step 2: Add 5.6r to both sides.
−7.4r−6.31+5.6r=−5.6r+3.23+5.6r
−1.8r−6.31=3.23
Step 3: Add 6.31 to both sides.
−1.8r−6.31+6.31=3.23+6.31
−1.8r=9.54
Step 4: Divide both sides by -1.8.
−1.8r/−1.8=9.54/−1.8
r=−5.3
The native bird population in a city is decreasing at a rate of 10% per year after 1 year the population of native birds is 14000 complete the recursive defined function to describe the situation.
The recursively defined function that describes the given situation would be f(n) = f(n-1) x 0.9, after four years, 9185 birds will be remaining.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
The native bird population in a city is decreasing at a rate of 10% per year after 1 year the population of native birds is 14000.
f(0) = 14000
f(n) = f(n-1) x 0.9
f(1) = f(0) x 0.9
= 14000 x 0.9
= 12600
f(2) = f(1) x 0.9
= 12600 x 0.9
= 11340
f(3) = f(2) x 0.9
= 11340 x 0.9
= 10206
f(4) = f(3) x 0.9
= 10206 x 0.9
= 9185.4
Therefore, after four years, 9185 birds will be remaining.
Learn more about function;
https://brainly.com/question/12431044
Answer:14000, 0.9, 10206
Step-by-step explanation:
pluto- just took the test
80% of p is 20. What is p? 75% of b is 12. What is b?
Step-by-step explanation:
80% of p = 20
=> 0.8p = 20, p = 20 / 0.8 = 25.
75% of b = 12
=> 0.75b = 12, b = 12 / 0.75 = 16.
Answer:
[tex]80\% \: of \: p = 20 \\ \frac{80}{100} p = 20 \\ \frac{4}{5} p = 20 \\ p = \frac{20 \times 5}{4} \\ \boxed{p = 25}[/tex]
25 is the right answer.[tex]75\% \: of \: b = 12 \\ \frac{75}{100} b = 12 \\ \frac{3}{4} b = 12 \\ b = \frac{12 \times 4}{3} \\ \boxed{b = 16}[/tex]
16 is the right answer.3 lbs converted into ounces
Answer:
48 ounces
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
Which graph shows the system 1 x++y=2 ? [x2 + y2 =9
Answer:
The graph of the system in the attached figure
Step-by-step explanation:
we have
isolate the variable y
----> equation A
This is the equation of a vertical parabola open down (because the leading coefficient is negative)
The vertex represent a maximum
the vertex is the point (0,2)
---> equation B
This is the equation of a circle centered at (0,0) with radius 3 units
The solution of the system of equations is the intersection points both graphs
using a graphing tool
The solutions are the points (-2.05,-2.19) and (2.05,-2.19)
see the attached figure
Answer:
It's C!
Step-by-step explanation:
Just got it right :>
the sum of x and five is the product of 3 and x increased by 13
Answer:
x = -4
Step-by-step explanation:
[tex]x + 5 = 3x + 13[/tex]
Subtract [tex]3x[/tex] from both sides of the equation. You get:
[tex]-2x + 5 = 13[/tex]
Subtract 5 from both sides:
[tex]-2x = 8[/tex]
[tex]x = -4[/tex]
Use the Distributive property to write each expression as an equivalent algebraic expression.
7(-2x + 6)
Answer:
Step-by-step explanation:
we will use distributive property to write an equivalent expression:
7(-2x)+7(6)
what is equal to 18 tens
Answer:
180
Step-by-step explanation:
so if it is addition like I assume it is, you would do this:
18 +18 +18 +18 +18 +18 +18 +18 +18 +18
that is also equal to 18x10.
so 18 ten times. a simple trick for multiplying by ten is just adding a zero, so 18x10 is 180.
I THINK THIS IS RIGHT LOL
Hey there!
18 * 10
≈ 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18 + 18
≈ 36 + 36 + 36 + 36 + 36
≈ 72 + 72 + 36
≈ 144 + 36
≈ 180
Therefore, the answer should be: 180
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Write an expression that will tell us how many calories
are in a package with m cookies and n crèmes per
cookie.
Answer:
300
Step-by-step explanation:
i have a box and cremes
Two percent of the customers of a store buy cigars. Half of the customers who buy cigars buy beer. 25 percent who buy beer buy cigars. Determine the probability that a customer neither buys beer nor buys cigars.
Answer:
0.95
Step-by-step explanation:
The computation of the probability that a customer neither buys beer nor buys cigars is given below;
Given that, the probabilities are
The customers who purchased cigars be 0.02
The customers who purchased cigars + beer 0.50
And, the customers who purchased beer + cigars be 0.25
Now the probabilities where the customer purchased both
= 0.05 × 0.02
= 0.10
The probability where the customer purchased beer is
= 0.01 ÷ 0.25
= 0.04
Now the probability where a customer neither buys beer nor buys cigars is
= 1 - 0.02 + 0.04 - 0.01
= 0.95
joe borrowed 12 books from the library four books were for himself the rest were for his little brother how can the number of books that were for his little brother be found?
a. multiply 4 times 12
b. subtract 4 from 12
c. add 4 and 12
Answer:
subtract 4 from 12
Step-by-step explanation:
Plssssssssssssssssssssssssss
Answer:
9
Step-by-step explanation:
1/9(9^2)
1/9(81)
9
someone help
thank you
Answer:
30000+200000
Step-by-step explanation:15% bc its 3 years, 15% of 200000 is 30000
Answer: 230 000
Step-by-step explanation:
2017 - 2014 = 3
if each year it goes up by 5% and it's already been 3 yrs.
then 3 x 5 = 15%
now it's at 15 %
Value :
200 000(0.15)
= 30 000
Cost of house after 3 yrs :
200 000 + 30 000
= 230 000
Find the perimeter of triangle QRS
helppp plzzz thx
Answer:
A. 36 cm
Step-by-step explanation:
Perimeter = SQ + RS + RQ
✔️Find SQ:
SN = SM = 10 cm (tangents drawn from an external point)
QL = QN = 2 cm (tangents drawn from an external point)
SQ = SN + NQ
SQ = 10 + 2 = 12 cm
✔️Find RS:
RS = RM + MS
RM = RL = 8 - 2 = 6 cm
MS = 10 cm (given)
Therefore,
RS = 6 + 10 = 16 cm
✔️RQ = 8 cm (given)
Thus:
Perimeter = SQ + RS + RQ
Perimeter = 12 + 16 + 8 = 36 cm
True or False: 4×4×4+5×5 = 43 + 52
Answer:
False
Step-by-step explanation:
4x4=16
16x4=64
5*5=25
64+25=89
Therefore the answer is false, because 89 is not equal to 95.
Answer:
false
Step-by-step explanation: you don't really need this part but all you need to know is that it is false :)
compare these amounts. use or =.
8oz ________ 8 cups
Answer:
8 cups is greater then 8 oz
Step-by-step explanation:
given f(x) = 6 (1 - x) +11 what is the value of f(8)
An electrician charges $40 to come to your house . She also charges $55 for each hour that she works .The electrican changes you a total of $190.How many hours does the electrican work at your house
Can you please tell me what yo write on my tape diagram
Answer:
about 2.72 hours
Step-by-step explanation:
set up the equation:
40 + 55h = 190
subtract 40 from both sides
55h = 150
now divide both sides by 55
h = 2.72
Can someone help me out with this?
i Think all are correct not sure tho
Answer:
See below.
Step-by-step explanation:
Note: I am considering that you are supposed to think of the graph maximum point as P(x, y) = P(0, 25).
It means that the absolute maximum at x = 0, so f(0) = 25.
What is the maximum of this graph and what does it represent?
When the ball is on the ground? No, once the maximum of this graph is 25 feet and the ground is 0 feet, the statement is false.
Where the ball ended? No, the final position is h = 0 feet, not h = 25 feet.
Where the ball started? Yes, the ball was dropped in h = 25 feet.
It represents the highest point on the graph? Yes.
25 feet? Yes.
PLESE HELP, I WILL MARK ANSWER!!!!!!
10 years ago a father was ten times older than his son. The father is now 40. How old is the son now?
Answer:
the son is 13
Step-by-step explanation:
What is the quotient of zero and one?
Translate: A number times itself
Answer:
Step-by-step explanation:
The quotient of zero and one is 0/1 = 0.
A number times itself is written as n^2, where n is the number. This is the same as n*n.
Consider Triangle ABC with vertices O (0, 0), A (a, 0), and B (b, c). Sketch a diagram and
prove that all altitudes intersect each other at one point.
Answer:
I'm truly sorry I have no idea I'm only here for points
Elijah is taking a multiple choice test with a total of 100 points available. Each
question is worth exactly 2 points. What would be Elijah's test score (out of 100) if he
got 8 questions wrong? What would be his score if he got x questions wrong?
Score with 8 questions wrong:
84
Score with x questions wrong:
Answer:
84 and then 100-2x
Step-by-step explanation:
i dont know how but i know thats right
Write a quadratic equation in the form x² + bx+c=0 that has the following
roots:
Roots: {5,1}
Answer:
x^2-6x+5
Step-by-step explanation:
To have roots at x=5 and x=1 you need to write is as follows
(x-5)(x-1)
you then need to multiply these two and get
x^2-6x+5
what is the area of 2, 1/3, 4/3 and 2/9.
Answer: 35/3 or 11 2/3
Step-by-step explanation:
