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.
At what point does the skater have the most kinetic energy?
Answer:
When traveling downhill.
Step-by-step explanation:
When the skater pushes forwards and starts to move downhill, he/ she will speed up creating the most amount of kinetic energy in the diagram.
answer question for 15 points
Persephone and Madison are sharing a coloring book with 48 pages in it. Persephone can color one page in 8 minutes. Madison can color one page in 6 minutes. They color every page in the book.
Answer:
[tex]Persephone = 27\frac{3}{7}[/tex]
[tex]Madison = 20\frac{4}{7}[/tex]
Step-by-step explanation:
Given
[tex]Pages = 48[/tex]
[tex]P=8\ mins[/tex] --- Persephone
[tex]M = 6\ mins[/tex] --- Madison
The question is incomplete, however a possible question could be:
To determine the number of pages colored by each of them
First, we determine the ratio of time spent by each:
[tex]P : M = 8 : 6[/tex]
The number of pages covered by Persephone is:
[tex]Persephone = \frac{P}{P + M} * Pages[/tex]
[tex]Persephone = \frac{8}{8+6} * 48[/tex]
[tex]Persephone = \frac{8}{14} * 48[/tex]
[tex]Persephone = \frac{384}{14}[/tex]
Simplify
[tex]Persephone = 27\frac{3}{7}[/tex]
This implies that Madison colors the remaining pages.
This is calculated as:
[tex]Madison = Pages - Persephone[/tex]
[tex]Madison = 48 - \frac{384}{14}[/tex]
Take LCM
[tex]Madison = \frac{48 * 14 - 384}{14}[/tex]
[tex]Madison = \frac{288}{14}[/tex]
Simplify
[tex]Madison = 20\frac{4}{7}[/tex]
Please help
Find the distance between (−9, −3) and (−6, −8). Round your answer to the nearest tenth. The distance is about ____ units.
3÷ 1/2 1÷1/4 1/2÷2 1/3=4 2÷ 1/6 1/4÷3
Answer: [45]
Step-by-step explanation:
Had this same question
Brainly Reward (mathematics)
Answer:
1: 45
2: 32
3: 35
4: 32
Step-by-step explanation:
when finding the area of a trapezium you can also just split the rectangle and triangle to have 2 different areas then combine to have the same area. but also this would be more difficult if you needed to separate the trapezium into more than 3 shapes.
so if there is like a trapezoid that you split and there is a rectangle and 2 triangles it is harder than doing the formula.
so use the formula sometimes too if it is easier.
Answer:
1 would be 45, 2 would be 32, 3 would be 35, 4 would be 32
Step-by-step explanation:
Parallelogram Properties - Angles
Answer: x=30°
Step-by-step explanation:
A parallelogram always add up to 360°.
Opposite angles like F and H are always the same, so H=150°.
150+150=300 (what angles F and H add up to)
So we can do:
360-300=60
Now we know that the angle x and E have to add up to 60 but still be the same, so x will equal 30°.
We can check this by adding up all of the sides:
150+150+30+30=360°
Hope this helped :)
Consider the equation of parabola y = 5x - 30x + 45.
Its vertex is located at
( , )
Answer:
(3, 0 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c (a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = 5x² - 30x + 45 ← is in standard form
with a = 5, b = - 30 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-30}{10}[/tex] = 3
Substitute x = 3 into the function for corresponding value of y
y = 5(3)² - 30(3) + 45 = 45 - 90 + 45 = 0
vertex = (3, 0 )
Answer:
Vertex is (3,0)
Step-by-step explanation:
Given y= 5x^2 - 30x + 45
y = 5 ( x^2 - 6x + 9)
= 5 ( x -3 )^ 2 + 0
Standard formula of parabola is y = a(x - k)^2 + k where vertex is (h,k)
Here, h = 3 and k = 0
So, Vertex is ( 3, 0)
Felipe is a software salesman. His base salary is $2200, and he makes an additional $70 for every copy of English is Fun he sells. Let P represent his total pay in dollars), and let N represent the number of copies of English is Fun he sells. Write an equation relating P to N. Then use this equation to find his total pay if he sells 26 copies of English is Fun.
Multiplying N by what he makes for each one and add to his salary:
P = 70N + 2200
Replace n with 26 and solve:
P = 70(26) + 2200
P = 1820 + 2200
P = 4020
He earns $4,020
Answer:
Multiplying N by what he makes for each one and add to his salary:
P = 70N + 2200
Replace n with 26 and solve:
P = 70(26) + 2200
P = 1820 + 2200
P = 4020
He earns $4,020
Step-by-step explanation:
Can someone answer this for me please?
x2+8 so the second one Step-by-step explanation:
Help me with these questions
Answer:
A is the correct Answer
Step-by-step explanation:
hope that helps
Answer:
igual es lo mismo
Step-by-step explanation:
hope that help
En un salón de clase, el número de mujeres equivale al 80% del total de sus asistentes, si se retiran el 20% de dichas mujeres ¿Qué porcentaje del resto son hombres?
Answer:
This is an english server
Mary had to guess at a chosen number between 1 and 10, to get to be the first in line. What’s the probability that she’ll choose the correct number?
Answer:
1 in 10, or 10% because there is a 90% chance she will choose the wrong number.
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
1-10 is 10 numbers, only one of which is the correct one.
The resulting proportion is:
[tex]\frac{1}{10}[/tex]
i need help on a equation −4a5⋅6a5
Convert the angle measures from radians to degrees
How do I find this answer?
What is the area of the circle? I need help please!
Answer:
Area is π(Pi) × Radius².
Soo, 3,14×5×5=78,54
I hope this is right
36.3 convert decimal into percent multiply it by 100.
Answer:
3,630%
Step-by-step explanation:
I multiply 36.3 by 100
Answer:
3630% hope it helps can I get brainliest
Step-by-step explanation:
Multiply 36.3 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.
36.3/1 × 100/100=3630/100
3630/100 is 3630 over 100 and means 3630 per 100. 3630 "per 100" means 3630 "percent" or 3630%
Therefore, we have shown that
36.3 = 3630%
finna tells her friend to follow the steps shown which choice best explains why each friend end up with their staring number
5k + 7 + 3k help me
Fast
Answer:
8k+7
Step-by-step explanation:
Like terms!
5k+3k=8k
please help me with this question thank you
Answer:
Shindeu NANI?!?
Step-by-step explanation:
Answer: X=0
Step-by-step explanation:
The graph of function f is shown. Function g is represented by the table. x -2 -1 0 1 2 g(x) -32 -16 -8 -4 -2 Which statement correctly compares the two functions on the interval [0, 2]? A. Function f is increasing, and function g is decreasing. B. Both functions are increasing, but function f is increasing faster. C. Both functions are increasing, but function g is increasing faster. D. Both functions are increasing at the same rate.
Answer:
Both functions are increasing, but function g is increasing faster
Step-by-step explanation:
Correct on a plato test. Have a great day!
Answer:
B. fashoooooooo
Step-by-step explanation:
Both functions are increasing, but function f is increasing faster.
I REALLY NEED HELP I WILL MARK BRAINLIEST
Im so sorry i don't know.
Which equation does not represent a linear function
Answer:
D should be the one that DOES NOT represent a linear function
Find the product of these complex numbers.
(3-4i)(1 - i) =
Answer:
Step-by-step explanation:
-1-7i
SOMEONE PLEASE HELP ME WILL GIVE BRAINLY
Answer:
Let me get my homie on here to help you.
Step-by-step explanation:
the sum of 2 consecutive odd number is 12 how?
Answer:
5 and 7
Step-by-step explanation:
Let the two numbers be x and x + 2.
According to Question ,
[tex]\implies x + x + 2 = 12 \\\\\implies 2x = 12 -2 \\\\\implies 2x = 10 \\\\\implies x =\dfrac{10}{2}\\\\\implies\boxed{ x = 5 }[/tex]
Hence the nos . are 5 and 7
The circumference of a circle is about 50 centimeters (cm). Which is closest to the length of its radius? You may use 3.14 for
Α.4 cm
B. 8 cm
C.16 cm
D.32 cm
Answer:
8 cm
Step-by-step explanation:
The formula of circumference is c= πd------(1)
where C = circumference, π = 3.14 and d = diameter
as we know that diameter is equal to d= 2r
put the diameter formula in eq(1)
we get c= π2r-------(2)
from eq (2) separate r means radius
hence, r= c/(π2)------(3)
put the values in eq(3)
and radius is equal to 8 cm.
A scatter plot with a line is shown below. (Attachment)
Which statement is most likely correct about the line?
It can be the line of best fit because it is closest to most data points.
It can be the line of best fit because it passes through all the scatter points.
It cannot be the line of best fit because it does not pass through all the points.
It cannot be the line of best fit because it does not pass through the first and last points.
Please help! Other brainy answers DO NOT help. Will mark brainliest!
Answer:
It can be the line of best fit because it is closest to most of the data points.
Find the value of z in the diagram below.
MARKED AS BRAINLIEST:))
Answer:
z=7
Step-by-step explanation:
If z represents 1/2 of 14, then z=14*1/2=14/2=7
jamal is 8 miles away from his house.he rides his bike home toward home at a speed of 12mph how far away from home is he after a half hour
Answer:
2 miles
Step-by-step explanation:
12 mph would be 6 miles in a half hour
8 - 6 = 2 miles
