Answer:
306
Step-by-step explanation:
18x17=306
The total number of matches played by the teams will be given by using permutation is 306.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
There are 18 football teams in a league.
Each team plays two matches against each of the other teams.
Then the total number of matches played by the teams will be given by the permutation.
[tex]^{n}P_r = \dfrac{n!}{(n-r)!}[/tex]
We have
n = 18
r = 2
Then
[tex]\rm ^{18}P_2 = \dfrac{18!}{(18-2)!}\\\\\\^{18}P_2 = \dfrac{18!}{16!}\\\\\\^{18}P_2 = \dfrac{18 *17*16!}{16!}\\\\\\^{18}P_2 = 18*17\\\\\\^{18}P_2 = 306[/tex]
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
What is the point-slope form of a line with slope -3 that contains the point
(10, -1)?
Answer:
y - (-1) = -3(x-10)
y+1= -3x+30
y= -3x+30-1
y= -3x+29
Helpppppp meeee please and thank you
Answer:
a
Step-by-step explanation:
for the figure shown below, find the value of the variable and the measure of the angles.
x is
measure angle P
measure angle Q
measure angle R
Answer:
All triangles has a total angle of 180. So x+38+2x+18+x=180
Solve for x: 4x+56=180 so 4x=124, x=31
Which will help your answer, "To what power must a student raise the number 5 to have an answer of 626"?
a. log625(5)=x
b. logx(5)=x
c. log5(x)=625
d. log5(625)=x
Answer:
D.
5^x=625
I hope it will be useful.
Answer:
The Answer us D
Step-by-step explanation:
log5(625)=x
x=4
I don’t knowwwwwwwwww helppp!!
Answer:
24 units squared
Step-by-step explanation:
the area of a parallelogram is its length times height
what is the equation of the line in point slope form that has a slope of -7/8, going through point (12,-3)
Answer:
y= (-7/8)x +7.5
Step-by-step explanation:
We know that the form for the equation of a line is
y= mx+b, with m being the slope, so our equation is
y=(-7/8)x+b. As b should be a constant, we need to find b. Plugging (12,-3) in, we have -3 = (-7/8)(12)+b = -10.5+b. Adding 10.5 to both sides, we get b= 7.5, making our equation
y= (-7/8)x +7.5
What is this? Please answer with an explanation
Florida ran 1.2 miles and Walked 4.8 laps
One spring day, Caroline noted the time of day and the temperature, in degrees
Fahrenheit. Her findings are as follows: At 6 a.m., the temperature was 52° F. For the
next 3 hours, the temperature rose 2° per hour. For the next 6 hours, it rose 1° per
hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the
temperature dropped 1° per hour. The temperature then dropped steadily until the
temperature was 60° at midnight. On the set of axes below, graph Caroline's data.
Answer:
Please see attached graph
Step-by-step explanation:
In the attached image you will find the red dots hour per hour that reflect the temperature changes described in the text. The finer red line joins the points to give continuity to the graph.
Need help please !!!!!!
Answer:
200 patients
Step-by-step explanation:
60% = 120
100% = ?
100×120 = 12000÷60= 200
The demand for tickets to an amusement park is given by p = 70 - 0.2q, where p is the price of a ticket in dollars and q is the number of people attending at that price.
a. What price generates an attendance of 3,000 people? What is the total revenue at that price? What is the total revenue if the price is $20?
b. Write the revenue function as a function of attendance, q, at the amusement park.
c. What attendance maximizes revenue?
d. What price should be charged to maximize revenue?
e. What is the maximum revenue? Can we determine the corresponding profit?
Answer:
Step-by-step explanation:
From the information given:
p = 70 - 0.02q
when:
q = 3000
p = 70 - 0.02 (3000)
p = 70 - 60
p = 10 dollars
The total revenue = price × number of people
= 10 × 3000
= 30000 dollars
If the price is $20
20 = 70 - 0.02q
0.02q = 70 - 20
0.02q = 50
q = 50/0.02
q = 2500
∴
If price is $20, The total revenue = 20 × 2500
= 50000 dollars
b)
The revenue function R = price × attendance
R = p × q
R = (70 - 0.02q)q
R = 70q - 0.02q²
c)
R(q) = 70q - 0.02q²
Taking the differential of the value on the right hand side.
R'(q) = 70 × (1) - 0.02 × (2q)
R'(q) = 70 - 0.04q
If we set R'(q) = 0
70 - 0.04q = 0
70 = 0.04q
q = 70/0.04
q = 1750 (critical point)
R"(q) = 0 - 0.04 × 1
R"(q) = -0.04
R"(1750) = -0.04 < 0
∴
R is maximum when q = 1750
d)
At q = 1750
p = 70 - 0.02(q)
p = 70 - 0.02(1750)
p = 70 - 35
p = 35 dollars
e)
R(q) = 70q - 0.02q² because R is max at q = 1750
R(1750) = 70 × 1750 - 0.02 × (1750)²
R_(max) = 122500 - 61250
R_(max) = 61250 dollars
Given that the actual price is 20 dollars when the price is changed to 35 dollars, we have a maximum revenue of:
Suppose:
p = 20 and q = 2500 (from a)
Then;
R = p × q
R = 20 × 2500
R = 50000 dollars
If R = 35, then q = 1750
R_{max} = 35 × 1750
R_{max} = 61250 dollars
∴
Profit = R_{max} - R
Profit = 61250 - 50000
Profit = 11250 dollars
Write an equation for the line parallel to the given line that contains C. C(1,4); y = 1/8x-4 (Write in slope intercept form)
Answer:
he equation of the line is parallel to the given line and passing through the point C( 1,4) is x - 8 y + 31=0
slope intercept form
[tex]y = \frac{x}{8} + \frac{31}{8}[/tex]
Step-by-step explanation:
Explanation:-
Given equation of the line
y = 1/8x-4
8 y = x - 32
x - 8 y -32=0
The equation of the line is parallel to the given line a x + b y + k=0
x - 8 y + k=0
This line is passing through the point ( 1,4)
x - 8 y + k=0
1 - 32 + k =0
k = 31
The equation of the line is parallel to the given line and passing through the point C( 1,4) is x - 8 y + 31=0
slope intercept form
8 y = x + 31
[tex]y = \frac{x}{8} + \frac{31}{8}[/tex]
what is the greatest common factor of 4x²+2x
Answer:
2x
Step-by-step explanation:
Because both terms are divisible by 2x. So, that's the greatest common factor. Whichever term is the greatest and can divide both the numbers it the GFC.
Use the following long division
A bowl weighs 11/40 lb. Express this as a decimal. The denominator is 4. I need help with this pls.
Answer: 0.275
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
You subtract 11 from 4 and get 7 and then you divide 40 by 4 and get 10 hope that helps:)
20 points!!!
y=5(x - 5)(x+3)
written in vertex form and standard form
Vertex form:
y = 5 (x - 1)^2 - 80
Standard Form:
y = 5x^2 - 10x - 75
Solve for x.
Question 2 options:
A)
5
B)
7
C)
4
D)
6
order from least to greatest 1.25, 1.52, 1.02, 1.50
Answer:
1.02 1.25 1.50 1.52.
Step-by-step explanation:
|•-•|
Answer:
1.02
1.25
1.5
1.52
Step-by-step explanation:
:)
Based on your understanding of sound waves,
Explain what happens to sound waves when you turn up the volume on your speakers and
Explain what happens to the sound waves when a singer hits the high pitched notes during the National Anthem. Be sure to use the terms amplitude and frequency in your answer.
Answer:
The frequency increases as the pitch increases, and the amplitude increases as the volume increases
Step-by-step explanation:
A bag contains 28 counters all of different colours. Colin chooses one counter and gives it to
Obi, and another counter and gives it to Zeema. In how many ways can Colin do this?
Answer:
756 ways
Step-by-step explanation:
Given
[tex]Counters = 28[/tex]
[tex]Selection = 2[/tex]
Required
Determine the number of ways
The first counter can be selected in 28 ways
The second can be selected in (28 - 1) ways
The number of selection is:
[tex]Selection = 28 * (28 -1)[/tex]
[tex]Selection = 28 * 27[/tex]
[tex]Selection = 756[/tex]
Hence, number of possible selection is 756
9. Consider the function, f(x) = x4 – 5x2 + 4. Select the statements that are true. In the box provided,
explain the choices you selected.
a. The degree of the polynomial is 5.
b. When graphed, this polynomial will look like a "W"
C. The zeros of this polynomial are (-2, 0), (-1,0), (1, 0) and (2,0).
d. The zeros of this polynomial are (-2, 0), (1, 0) and (3, 0)
Explanation of choices:
Answer:
the degree of the polynomial is 5
$1.50 is what fraction of $7.00?
21.4285714286%
or
4.66666667 i think
1. Kilometers and inches are some units used to measure length. What are some other
units used to measure length?
2. Tablespoons and liters are some units used to measure volume. What are some
other units used to measure volume?
100 point please helppp
Answer:
length- inches, meters, millameters
Volume- gallon, quart, cups, teaspoons
Step-by-step explanation:
Answer:
ength- inches, meters, millameters
Volume- gallon, quart, cups, teaspoons
Step-by-step explanation:
Find the equation of the line that passes through(-2,-5) and (1,7).
Answer:
Where is the pic?
Step-by-step explanation:
Solve for .
2.
(100+30x)
30.rº
Answer:
x = 1[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
As you can see, the two angles are supplementary as they lie on the same straight line so they should add up to 180°.
100 + 30x + 30x = 180
Evaluate like terms.
60x + 100 = 180
Isolate 60x.
60x = 180 - 100
= 80
Find x.
x = 80 ÷ 60
x = 1[tex]\frac{1}{3}[/tex]
The scatter plot shows a number of CD's (in millions) that were sold from 1999 to 2005. If the trend continued,about how many CDs were sold in 2006?
A. 900
B.850
C.750
D.650
There 650 million CDs were sold in 2006 if there were 800 million CDs sold in 2002, and there were 700 million CDs in 2005 option (D) is correct.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
From the graph:
(2002, 800) and (2005, 700)
We can draw a line for the best fit as follows:
[tex]\rm (y-800) = \frac{700-800}{2005-2002}(x-2002)[/tex]
[tex]\rm (y-800) = 33.33(x-2002)[/tex]
When x = 2006
[tex]\rm (y-800) = -33.33(2006-2002)\\[/tex]
y = 666.68
Which is near 650 million
Thus, there 650 million CDs were sold in 2006 if there were 800 million CDs sold in 2002, and there were 700 million CDs in 2005 option (D) is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Express the ratio below in its simplest form.
3 and 1 half :4.5
Answer:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 101 (10)
. Next, add the whole number to the left of the decimal.
4 5/10
Reduce the fractional part of the mixed number.
4 1/2
Reduce the fraction.
9/2
Step-by-step explanation:
please answer asap no trolls!
Answer:
pqe?
Step-by-step explanation:15446556
What is the measure of z G?
Zg is a measure of weight
Hey there!
Your lines EF and FG has the measure of 6 ✅
One of the triangle(s) has both sides equivalent lengths which is the isosceles triangle
Since pretty much every is most likely “equivalent” it’ll be an isosceles triangle
∠E ≅ ∠ G
∠E = 28° so that means ∠G = 28°
Answer: ∠G = 28° (Option D.)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
pls help asap no trolls!
Answer:
b = 6
c = 9
Step-by-step explanation:
if triangles PQR and JHI are congruent, then (b + 48) must equal 9b
9b = b + 48
8b = 48
b = 6
if triangles PQR and JHI are congruent, then (c + 9) must equal 2c:
2c = c + 9
c = 9