Replace t with the months given as choices to see which one gives a positive value as an answer.
P(1) = 1^4-9(1)^3 + 24(1)^2-20(1) = -4
P(2) = 2^4-9(2)^3+24(2)^2-20(2) = 0
P(3) = 3^4 -9(3)^3+24(3)^2-20(3) = -6
P(5) = 5^4-9(5)^3+24(5)^2-20(5) = 0
P(6) = 6^4-9(6)^3+24(6)^2-20(6) = 96
It shows a profit in month 6 so it would start showing a profit in month 5.
The answer is 5 months
Problem 11
Six friends who enjoy tennis decide to play a game of singles and a game
of doubles every day of the 7-week school holidays.
(a) Show that at least four of the games of singles will be between friends
playing each other for the fourth time.
(b) Show that at least four of the games of doubles will be between pairs
playing the same opposing pair for the second time.
Number combination can be used to find the number of selecting n items from m items
The known parameters are;
Number of days the six friends play a game of tennis = Every day = 7 days
Number of weeks the six friends the friends play for = 7 weeks
Therefore the total number of days = 7 × 7 days = 49 days
Required:
(a) The number of ways the friends can play with each other once is given as follows;
[tex]The \ number \ of \ 2 \ combinations \ in \ 6 \ options, C_6^2 = \dfrac{6!}{2!\times (6-2)!} = 15[/tex]
The number of ways the six friends can play with each other once is 15 ways
Therefore, minimum number of singles games that will be between the same friends playing each other is given as follows;
[tex]\mathbf{Number \ of \ games = \dfrac{7 \times 7}{C_6^2} }=3.2\overline 6[/tex]
Therefore, more than 3 of the games or four games will be between pairs playing the game more than four times together, and when at least four of the games of singles are counted it will be between friends playing each other for the fourth time
(b) The number of ways the friends can play game of doubles is given as follows;
[tex]C_6^4 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]
The number of pairs = ₆C₂ = 15
The number of games of doubles = 49
In 49 games, we have;
The number of times the same opposing will play a game of doubles where a member of the pair can be on either side of the court will given as follows;
[tex]\mathbf{Number \ of \ games \ of \ doubles \ between \ same \ pair} = \dfrac{7 \times 7}{15 } =3.2\overline 6[/tex]
Therefore, at least four of the of the games of doubles will be between the same set of four friends playing for the 4th time, which gives; at least four games of doubles between the same set of four friends, two of which are playing (as a pair) the same opposing pair for the 4/2 = second time
Learn more about combination here:
https://brainly.com/question/22692807
Explain how confounding might be an issue with this study
Answer:
perhaps because math is a subject that builds on itself. so if you miss or dont know one key formula then it is difficult to understand the others.
math is also a subject that has many different ways to solve one thing
Use Distributive property to write the expression without parentheses !
Hi :)
-3(3a + 2) + 3
-9a -6 + 3
-9a -3
This is for a mastery
Answer:b
Step-by-step explanation:
solve the proportion:
40/24 =20/x
Answer:
12
Step-by-step explanation:
40/24 = 20/x
40x = 20 × 24
40x = 480
x = 480/40
x = 12
9/10 divided by 3/5
Answer:
1 1/2
Step-by-step explanation:
9/10 ÷ 3/5
Copy dot flip
9/10 * 5/3
Rewriting
9/3 * 5/10
3 * 1/2
3/2
1 1/2
Answer:
3/2
Step-by-step explanation:
9/10 ÷ 3/5
~Use copy dot flip
9/10 * 5/3
~Multiply
45/30
~Simplify
3/2
Best of Luck!
How do I do these questions please explain everything to know
(3²)⁵
Answer:
3^10
Step-by-step explanation:
(3²)⁵
We know that a^b^c = a^(b*c)
(3²)⁵ = 3^(2*5)
= 3^10
Answer:
59,049
Step-by-step explanation:
(3^2)^5
~Use power rule
3^10
~Simplify
59,049
Best of Luck!
is 1/2 √9 *√4 rational or irrational
Answer:
1/2 and 9 is rational but 4 is not
Step-by-step explanation:
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.
Hope this helps <3 Wanna get ranked faster? Comment "rankup"
64 is the product of vidya's height and 4
Answer:
16
Step-by-step explanation:
64 ÷ 4 = 16
The expression 2500(1.15)t represents the value of a $2500 investment that earns 15% interest per year, compounded annually for t years. What is the value of a $2500 investment at the end of 5 years?
Answer:
$5028.4
Step-by-step explanation:
The expression for that investment will be 2500*(1.15)^t where t is in years, the value of the investment will be 2500*(1.15)^5=5028.4
a+b in terms of a and evaluated these expressions when a = 3
Answer:
If a equals 3 then the answer should be 3b
Step-by-step explanation:
Answer:
a+b=a
or,3+b=3(a=3)
or,b=3-3
or,b=0
b=0 Ans
In a machine, a particular gear completes a rotation in 6 seconds. Another gear completes a rotation in 9 seconds. At a certain instant, both gears complete their rotations at exactly the same time. How many seconds will elapse before the two gears complete their rotations at exactly the same time again?
The gradient of the line joining (4, q) to (6, 5) is twice the gradient
of the line joining (0, 0) to (4, q). Find q.
Answer:
q is 4
Step-by-step explanation:
[tex]gradient = \frac{y_{2} - y_{1} }{x _{2} - x _{1} } \\ [/tex]
let gradient of the line joining (4, q) to (6, 5) be x
let gradient of the line joining (0, 0) to (4, q) be y
[tex]y = 2x[/tex]
therefore:
[tex]( \frac{q - 0}{4 - 0} ) = 2( \frac{5 - q}{6 - 4} ) \\ \\ \frac{q}{4} = \frac{2(5 - q)}{2} \\ \\ \frac{q}{4} = 5 - q \\ \\ q = 4(5 - q) \\ q = 20 - 4q[/tex]
collect like terms:
[tex]q + 4q = 20 \\ 5q = 20 \\ q = \frac{20}{5} \\ \\ q = 4[/tex]
Let,
The gradient of line joining (4, q) to (6, 5) be "x".The gradient of line joining (0, 0) to (4, q) be "y".As we know,
[tex]Gradient = \frac{y_2-y_1}{x_2-x_1}[/tex][tex]y = 2x[/tex]then,
→ [tex]\frac{q-0}{4-0} = 2(\frac{5-q}{6-4} )[/tex]
[tex]\frac{q}{4} = \frac{2(5-q)}{2}[/tex]
[tex]\frac{q}{4} = 5-q[/tex]
By applying cross-multiplication, we get
[tex]q = 4(5-q)[/tex]
[tex]q = 20-4q[/tex]
By adding "4q" both sides, we get
[tex]q+4q= 20-4q+4q[/tex]
[tex]5q = 20[/tex]
[tex]q = \frac{20}{5}[/tex]
[tex]q = 4[/tex]
Thus the above value is correct.
Learn more about gradient here:
https://brainly.com/question/25292773
If BD=1,DC=2,AB=2,what must AC equal for the line segment AD to be an angle bisector?
(Show the correct, neat and understandable calculation steps to get the answer to this question)
Answer:
AC = 4
Step-by-step explanation:
For AD to be an angle bisector then it divides the opposite side into segments that are proportional to the other two sides, that is
[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BD}{DC}[/tex] , substitute values
[tex]\frac{2}{AC}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
AC = 4
simplify 1/2+1/3-1/4
Answer:
7/12
Explanation:
Here are the steps to follow:
Write down the factors for the numerator and the denominator.
Determine the largest factor that is common between the two.
Divide the numerator and denominator by the greatest common factor.
Write down the reduced fraction.
Answer:
7/12
Step-by-step explanation:
[tex] \frac{1}{3} + \frac{1}{2} = \frac{2 + 3}{6} = \frac{5}{6} - \frac{1}{4} = \frac{20 - 6}{24} = \frac{7}{12} [/tex]
complete the steps of the calculation to find the value of x
Answer:
99 + x = 4x
99 = 3x
x =33
.....
I need help mhm yeah need help I can’t stop cussing ( not so much tho ) so my mum got mad at me and she keeps comparing me to my cousin and saying that she’s way better than me *sigh* it just gives me no self-esteem and brings me down, makes me thinking that I’m not worth it and everything else i don’t know what to do anymore any advice? ( sorry if this is not educati)
Answer:
just a random Teenage who's been through the same thing
Step-by-step explanation:
if you really care about what your mom think I'd suggest changing some thing's about you . maybe study more or something . if you don't usually try then go ahead try harder.
but if youre doing everything right but your cousin just seem to be better then you can't do much but try to explain to her that you're trying your best
stay safe and don't do anything you'd regret
Your question is not educational, but I'll be happy to give you some advice.
From a person who has dealt with a parent comparing me to others, I completely understand how you feel. Parents do sometimes get mad at their children for misbehaving but it not acceptable whatsoever to bring them down like that. I hope you understand that no one but YOU is allowed to dictate your worth. If you can, I suggest bringing this matter up with your mother and tell her how her remarks make you feel. If you cannot do that, I suggest speaking with a school counselor, friend, relative, or teacher about this. Sometimes expressing your feelings with others is the best medicine.
Have a great day!
Rewrite as a simplified fraction.
3.541
41 is repeating
If x = 3.5414141…, then 10x = 35.414141… and 1000x = 3541.414141…. Then
1000x - 10x = 3541.414141… - 35.414141…
990x = 3506
x = 3506/990 = 1753/495
PLSSSS HELLLPPPPPPP How much would it cost to buy 3.4 pounds of Bartlett pears and 2.1 pounds of Concorde pears? Concorde pears $3 per pound Osband pears $3 per pound green Anjou pears $4 per pound Bartlett pears $2 per pound red Anjou pears $5 per pound
Answer:
$13.10
Step-by-step explanation:
Concard $3.00 2.1 $6.30
Osband $3.00
Green Anjou $4.00
Bartlett $2.00 3.4 $6.80
Red Anjou $5.00
TOTAL = $13.10
ANSWER THIS ASAP PLEASE
Answer: 12 and -12
Step-by-step explanation:
Absolute value is the distance to zero (0)
Equation 1:
|(12) - 2| = 10
= 12-2
=10
Equation 2:
|(-12) - 2| = 10
= 12 - 2
= 10
Factorize: p^2+2pq+q^2-1
Answer:
have a great day
god bless you
Plz help me answer this question
Answer:
Line A
Step-by-step explanation:
What is the slope of the line that
passes through these two points?
(1, -2)
(3, 4)
Remember, given two points,
(x1, yı)
(x2;Y2)
Slope
=
rise (y2-yı)
run(x2-x1)
Simplify your answer completely.
Enter
Answer:
5/2
Step-by-step explanation:
Answer:
3
Brainliest, please!
Step-by-step explanation:
(1, -2)(3, 4)
y: +6
x: +2
y/x = 6/2 = 3
Hi
What is coefficient of Polynomial?
id .783 844 3157
pa s.12345
z
o
o
m
a multiplicative factor in some term of
Alex had $29 in a bank account. He withdrew $13 for pizza and then $18 for a movie. How much money does Alex have left in his account?
Answer:
-12
Step-by-step explanation:
18 plus 13 is 41 29 subtracted from 41 is -12
Answer:
- $2
Step-by-step explanation:
Alex withdrew money twice, or he subtracted those amounts from the total that he had.
In this case, he withdrew $13 first, and then $18, or:
13 + 18 = 31
$31 dollars in all.
Alex had $29. Subtract the total that he withdrew from the amount he had:
29 - 31 = -2
Alex has - $2, or he owes the bank $2 with interest.
~
2. Write in statement forms : a) p+4=15 b) 3/5= 6
Answer:
a) The sum of numbers p and 4 is 15.
Step-by-step explanation:
I'm not sure but hope it helps.
35 344 minus 17 943 is 17 401 but to show the sum in how to get 17 401 is hard. In calculating I keep getting 22 601. please help me show how to get 17 401
Solve 1/2=x+7/2-1 1/3
Answer:x 2/3
Step-by-step explanation:
WILL MARK BRAINLIEST IF CORRECT
1) alyssa has 4 less than 7 times the number of dimes (j) than jessica has which expression shows the number of dimes alyssa has.
A) 4 - 7j
B) 4J - 7
C) 7 - 4J
D: 7J - 4
Triangle ABC with coordinates A (3,-2), B (5,5), and C (-4, 2) is reflected across
the x-axis. State the coordinates of the resulting triangle, A'B'C.
Step-by-step explanation:
the formula of coordinates (x, y) that reflected across the x-axis : (x, y) => (x, -y)
so,
A(3, -2) => A'(3, 2)
B(5, 5) => B'(5, -5)
C(-4, 2) => C'(-4, -2)
Coordinates of ∆ABC
A(3,-2)B(5,5)C(-4,2)Now co-ordibates of ∆A'B'C'
[tex]\\ \rm\longmapsto A'=(3,2)[/tex]
[tex]\\ \rm\longmapsto B'=(5,-5)[/tex]
[tex]\\ \rm\longmapsto C'=(-4,-2)[/tex]