On an island there are 7 cities each 2 of them connected by a direct road they are building a 8th city they also want it to connect with the other 7 existing cities how many roads will there be after they build the 8th city
Answer:
After the 8th city is built there will be 28 roads between the cities
Step-by-step explanation:
The given parameters are;
The number of cities initially on the island = 7 cities
The number of roads between each 2 cities = 1 road
Therefore, we have the number of roads between the 7 cities are;
7 cities taking 2 at a time = ₇C₂
[tex]_7C_2 = \dfrac{7!}{(7 - 2)!\cdot 2!} = 21[/tex]
The initial number of roads between the 7 cities = 21 roads
The number of roads, 'n' there will be after the 8th city is built is therefore;
[tex]n = _8C_2 = \dfrac{8!}{(8 - 2)!\cdot 2!} = 28[/tex]
The number of roads there will be after the 8th city is built, n = 28 roads.
helpppp helping my sister
Answer:
i wanna say scalene is the first and thrid triangle. The second one is the 5th triangle and the rest go into the last catigorrie
Step-by-step explanation:
What is the surface area of this right rectangular prism with dimensions of 6 centimeters by 6 centimeters by 15 centimeters?
432
425
445
412
Answer:
432
Step-by-step explanation:
Please help me with the answer to these. The second picture goes along with the first
A tool box has the dimensions of 10 in by 7 in by 3 in. If Deena plans to double all three dimensions to build a larger tool box, she believes she would double the volume of the tool box. Is she correct?
Answer:
She will not be correct
Step-by-step explanation:
Given data
Length=10in
Width=7in
Height=3in
The volume of the toolbox
V=10*7*3
V=210 in^3
Let us double the volume and see
2V= 210*2
=420 in^3
Let us also double the individual dimensions
Length=20
Width=14in
Height=6in
V= 20*14*6
V=1680 in^3
Hence the volume will be different, she will not be correct
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Step-by-step explanation:
hgfdcvbnmkloiuytredfxghgcfxchgjnjngjggjjjjjttttttttttttttttrrrrrtkkkkkkkkkkddddddddddddddddddddddddddddddddddujhhhhhhhhgfnmmmmmmmmmhhurtghbfnvbmgjkuttdggggggggggggggggggggggggggggggggggggggggggggggggggggf
On a tree, the trunk splits into 5 branches. Then each branch splits into 5 smaller branches, and each of those branches splits into 5 very thin branches. How many very thin branches are on the tree?
Answer:
There are 125 very thin branches.
5 branches x 5 smaller branches = 25 smaller branches25 smaller branches x 5 very thin branches = 125 very thin branches125 very thin branches in your final answer!I did my best to fit it all lol, can someone please help? <3
Answer:
8a. 0 8b. -1/3
Step-by-step explanation:
slope formula: [tex]\frac{y_{2} - y_{1}}{x_{2} - x{1}}[/tex]
8a. => (8 + 12)/(17 - 17) = 20/0 = 0
8b. (1 + 2)/(-3 - 6) = 3/-9 = - 1/3
Answer:
8a: 0 8b: -1/3
Step-by-step explanation:
slope is y2-y1/x2-x1
8a: 8+12/0=0
8b: 1+2/-3-6=3/-9=-1/3
Is "three less than a number" equivalent to "the difference of three and a number?"
Explain your answer.
what is the value of x and y?
Answer: (x,y) has the meaning of plane's point coordinates. The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi.
Step-by-step explanation:
You track the temperature from the time you you eat your lunch to the time you go to bed. you find that it drops 2 decrease each other for 10 hours. which expression that shows the change in temperature?
Answer:
-2 times 10 or
-2*10
Answer:
they both are multiplucation Which means they both increse so ether the answers are wrong or the question its self is wrong.
ILL MARK BRAINLIEST TO FIRST PERSON THAT ANSWERS CORRECTLY!
Annita baby sits at a rate of $7 per hour. Identify the type of relationship this represents. Explain your answer.
Answer: The relationship is proportional.
Step-by-step explanation: Because the baby sitters work corresponds to their hourly pay. (I think)
A scientist has collected the following data on the population of a bacteria colony over a thirty-minute period:
5 minutes: 78,000
10 minutes: 234,000
15 minutes: 657,000
20 minutes: 1,784,000
25 minutes: 5,040,000
30 minutes: 14,980,000
Which type of graph would be best to use to display the growth of the colony?
A.) a bar graph
B.) a circle graph
C.) a histogram
D.) a line graph
convert 3.34 as a fraction in its simplest form
Answer:
3 17/50
Step-by-step explanation:
12 more to go please help me
Step-by-step explanation:
Total number of people = 48 + 32 + 16
= 96
P(2 or more items) =
[tex] \frac{32}{96} \\ = \frac{1}{3} [/tex]
What is the value of tan x
Answer:
THE ANSWER HAS TO BE 6/10
Step-by-step explanation:
PLEASE HELP ME
A student bought 24 pencils for every 16 markers. The number of pencils bought is directly proportional to the number of markers.
What is the constant of proportionality that relates the number of pencils to the number of markers?
5/3
2/3
3/2
3/5
Please help ill give brainlest
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Pls help I have this homework !! bye I will mark you the best or brainliest!!
Answer:
90-54w
Step-by-step explanation:
18(5−3w)=
18*5=90 , 18*3w= 54w =
so simplified it would be = (90-54w)
Please mark me as brainliest :D
I’ll mark brainliest pleaseeee
Answer:
it is c 1440
Step-by-step explanation:
you multiply 8 times 10 get 80
then multiply 80 and 18 get 1440
AREA = 1440
Answer:
mark her as brainliest
Step-by-step explanation:
please thx
someone please help me answer this question
Answer:
10. $33.5, c=3.50r+9
11. $51
Step-by-step explanation:
What is
7.5% tax on
a $18
sweater?
19.35 or 1.35
Answer:
$1.35 will be your answer
Step-by-step explanation:
18 x 0.075 = 1.35
Answer:
[tex]1.35[/tex]
Step-by-step explanation:
7.5% of 18$ is 1.35.
It would make no sense if the tax cost more than the actual item.
Divide the polynomial in the numerator by the monomial in the denominator. Simplify your answer. 20x^5 – 6x^4 + 12x^3 + 12x^2 10x^2
Step-by-step explanation:
do u have a picture? its mixed up
Answer:
2x • (2x2 + 1) • (5x - 3)
Step-by-step explanation:
5.4 Find roots (zeroes) of : F(x) = 2x2 + 1
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 2 and the Trailing Constant is 1.
The factor(s) are:
of the Leading Coefficient : 1,2
of the Trailing Constant : 1
Final result :
2x • (2x2 + 1) • (5x - 3)
The worlds heaviest lobster weighted 44 pounds 6 ounces. What is the lobsters weight in ounces. Explain your thinking
Answer:710
Step-by-step explanation:
Which of the following is a factor of 21?
Answer:
The factors of 21 are 1, 3, 7 and 21. A factor is a number that can divide evenly into a given number. Because 21 can be divided by numbers other than itself and 1, it is called a composite number. Every number has 1 and itself as a factor. Numbers that have no other factors are called prime numbers.
Step-by-step explanation:
can someone help me
Answer:
z equals 13 yeeeeeeeeetttttttttttttt I hopppppeeeee thhhhhaaaaatttttt heeeeelllllllpppppppsssssss
Select all values of x that make the inequality −x+6≥10 true.
-3.9
4
-4.01
-4
4.01
3.9
0
-7
pleaseee helppppp !!
Answer:
1. -9xy
2. 6ab
3.-8mn
4. 17nx
Step-by-step explanation:
Topografía. La superficie de una montaña se modela mediante la ecuación ℎ(, ) = 5000 − 0.001 2 − 0.004 2 . Un montañista se encuentra en el punto (500, 300, 4390). ¿En qué dirección debe moverse para ascender con la mayor rapidez?
Respuesta:
(-1, - 2,4)
Explicación paso a paso:
Dada la función:
ℎ (x, y) = 5000 - 0,001x2 - 0,004y2
Tomando la derivada parcial con respecto a ambas direcciones (xey) se obtiene la dirección del vector de gradiente, donde es posible el movimiento más rápido
H '(x, y) = (dh / dx, dh / dy)
dh / dx = 2 (-0.001x) = - 0.002x
dh / dy = 2 (-0.004y) = - 0.008y
H '(500, 300) = (- 0,002 (500); - 0,008 (300))
H '(500, 300) = (- 1; - 2,4)
Por lo tanto, el montañista ascenderá con la mayor velocidad en el punto (-1, - 2.4)
pls help me!! will give brainliest
Answer: (0,0)
If AB is translated right 5 units and down two then both points are translated by that amount.
A currently is (-5, 2)
x=-5 and y=2
Since youre going right by five your x value will increase by 5 so the point will instead be at x=0
Since youre going down by two your y value will decrease by 2 so the point will instead be at y=0
x=0 and y=0
(0,0)
Answer: its 0,0
Step-by-step explanation: