Answer: Constraints
i got that question its constraints
There are 18 offensive players on the hockey team. How many ways can the coach choose a left wing, center, and right wing to start the game?
Answer:
4896 ways
Step-by-step explanation:
We have a total of 18 players, and we want to form groups of three, where the order matters, because there are different roles for each player, so this is a permutation problem.
We solve this problem calculating a permutation of 18 choose 3:
P(18,3) = 18! / (18-3)! = 18! / 15! = 18 * 17 * 16 = 4896
So the coach has 4896 ways to choose the left wing, center and right wing.
Answer: There are 4,896 possible ways
Step-by-step explanation: If there are 18 offensive players on the hockey team, and there is a need to make a selection of three players for three different positions, that means each time you choose one player there is an 18 times 17 (18 x 17) other possibilities for the remaining players. If you choose the next player, there would now be a 17 times 16 (17 x 16) other possibilities for the remaining players, hence we need a formula for the arrangement of 3 players to be chosen from a total of 18.
From the first explanation, if we were to make an arrangement to choose all 18 players the permutation would be given as;
P = 18! (18 factorial)
Which is 18 x 17 x 16 x 15 x 14 x... x 1
However the permutation for selecting just 3 out of the 18 players is given as;
P = 18! ÷ 15!
And this results in;
P = 18 x 17 x 16
P= 4896
Therefore there are 4,896 possible ways
**Note that 18! divided by 15! leaves you with the possible arrangement for 3 persons which is explained as 18 x 17 x 16**
A towns population increased from 14523 to 16489 what is the percent increase in the towns population
Answer:
the correct answer is 14% (plzzzz brainlist this answer!)
proof:
Mark and his three friends ate out at Applebee’s. Their bill totaled $104.70. If they left the server a 20% tip, how much would each person pay splitting the bill evenly?
Answer:
$31.41!
Step-by-step explanation:
can anyone please help me with this ?
Answer:Do you have a word bank???
Weight of Male
Dogs (lb.)
stems
What is the general shape of the data?
skewed
symmetric
constant
many peaks and valleys
DONE
leaves
8|1 represents 81
Answer: on edg it’s the first answer ; Skewed
Answer:
Skewed
Step-by-step explanation:
On edge 2020
A student in ms. campbells class are participating in a recycling project. after 3 days the class collected 24 cans. they collected the same number of cans each day. how many cans did the class collect in 6 days
Answer:
144
Step-by-step explanation:
multiply 24 times 6
Answer: Ms. Campbell's class collected 48 cans in 6 days. The ratio is 8 cans per day.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Days of collection of the recycling project = 3
Number of cans collected in the first 3 days = 24
Students collect the same number of cans each day
2. How many cans did Ms. Campbell's class collect in 6 days?
Let's use the Direct Rule of Three, for answering this question:
Cans Days
24 3
x 6
3x = 144
x = 144/3
x = 48
Ms. Campbell's class collected 48 cans in 6 days.
Lance bought 12 quarts of lemonade so that everyone who came to his party could have exactly 1/3 quart. How many people did Lance invite to his party?
Lance invited 36 people to his party.
Step-by-step explanation:
It is given that,
Lance bought 12 quarts of lemonade.Everyone who came to his party could have exactly 1/3 quart.We know that,
The total quarts of lemonade available for the party = 12
Each person in the party consumes = 1/3 quart.
We need to find out how many people did Lance invited to his party.
To find the number of people :
Let us consider 'x' be the number of people invited to the party.
Total lemonade = number of people × lemonade for each person.
⇒ 12 = x × 1/3
⇒ 12×3 = x
⇒ x = 36 people
Therefore, Lance invited 36 people to his party.
what is seven divided by twenty four?
Answer:
0.29166666666
Step-by-step explanation:
You divide 7/24 in a calculator and u get this anwer.
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x
is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
O
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
O
Answer:
The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
x + y = 24
3x + 5y = 100
Try elimination.
-3x - 3y = - 72
2y = 28
y = 14
Then x = 10
So, we have 10 3-point problems and 14 5-point problems.
A town has a population of 20000 and grows at 4% every year. To the nearest
year, how long will it be until the population will reach 39400?
Answer:
The population will reach 39,400 after 17 years.
Step-by-step explanation:
Given that, The population grows at a rate 4%. The population of the town is 20,000 at a certain time.
Exponential function:
[tex]y(t)=y_0(1+r)^t[/tex]
y(t) = The population after t years
[tex]y_0[/tex] = Initial population.
r = Rate of grow
t = Time.
y(t)= 39400, [tex]y_0[/tex] = 20,000, r= 4%=0.04, t=?
[tex]39400=20000(1+0.04)^t[/tex]
[tex]\Rightarrow \frac{39400}{20000}=(1.04)^t[/tex]
[tex]\Rightarrow \frac{197}{100}=(1.04)^t[/tex]
Taking ln both sides
[tex]\Rightarrow ln|\frac{197}{100}|=ln|(1.04)^t|[/tex]
[tex]\Rightarrow ln|\frac{197}{100}|=t\ ln|(1.04)|[/tex]
[tex]\Rightarrow t= \frac{ln|\frac{197}{100}|}{ln|(1.04)|}[/tex]
[tex]\Rightarrow t\approx 17[/tex]
The population will reach 39,400 after 17 years.
Final answer:
To find the time it takes for a town's population to grow from 20,000 to 39,400 at a 4% annual growth rate, the exponential growth formula is used. After rearranging the equation and taking natural logarithms, it's found that it will take approximately 18 years for the population to reach 39,400.
Explanation:
Population Growth Calculation
To calculate how long it will take for a town's population of 20,000 to grow to 39,400 with an annual growth rate of 4%, we can use the formula for exponential growth:
P(t) = P_0 × (1 + r)^t
where:
P(t) is the future population
P_0 is the initial population
r is the growth rate (expressed as a decimal)
t is the time period in years
Starting with 20,000 people and wanting to get to 39,400:
39400 = 20000 × (1 + 0.04)^t
To solve for t, we need to:
Rewrite the equation as: (1 + 0.04)^t = 39400 / 20000
Take the natural logarithm of both sides: ln((1 + 0.04)^t) = ln(39400 / 20000)
Simplify: t × ln(1 + 0.04) = ln(1.97)
Divide by ln(1 + 0.04) to isolate t: t = ln(1.97) / ln(1.04)
Use a calculator to find the numerical value for t.
When calculated, t is approximately 18 years. Therefore, it will take roughly 18 years for the town's population to grow from 20,000 to 39,400.
Help me I don’t understand
Answer:
H
Step-by-step explanation:
Answer:
G
Step-by-step explanation:
The "range" is a collection of the plotted y values
The diver's maximum height is 28ft, so the range must be less than that.
G is a better answer than F because the diver will eventually reach the water. He will not dive infinitely downward.
Can someone answer this for me?
Answer:
the answer is B
Step-by-step explanation:
5/3 to the power of 3
Write the slope-intercept form equation of the line that passes through (-2, 3) and (1,-4).
Answer:
y = -7/3 x -5/3
Step-by-step explanation:
We first need to find the slope
m = (y2-y1)/(x2-x1)
=(-4-3)/(1--2)
= (-4-3)/(1+2)
=-7/3
Slope intercept form of a line is
y=mx+b
y = -7/3x +b
Using the point (-2,3)
3 = -7/3(-2)+b
3 = 14/3 +b
Subtract 14/3 from each side
9/3 -14/3 =b
-5/3
y = -7/3 x -5/3
Answer:
[tex]\frac{-7}{3}[/tex]
Step-by-step explanation:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
plug in the factors given,
[tex]\frac{-4-3}{1--2}[/tex]
then simplify
[tex]\frac{-7}{3}[/tex]
Please helpppppp!!!!
Answer:
A. -34.5>x
Step-by-step explanation:
The area is shaded below -34.5, so we know that x has to be less
Karen will be traveling out of town for business during her travel she scheduled to have three dinner for lunch and to breakfast for employee will pay her for this meal at the following rate 20.15 for dinner 12.30 for lunch and 6 .37 for breakfast what is the total will be paid for this meals?
Answer:
$38.82
Step-by-step explanation:
just add up all the numbers :)
Let f(x) = x² + x - 6 and g(x) = 3x - 6, what are f ⋅ g and f/g. state the resulting function and it's domain.
Answer:
[tex](f.g)(x) = 3x^3-3x^2-24x+36[/tex]
Domain of (f.g)(x) = All real numbers
[tex](\frac{f}{g})(x) = \frac{x+3}{3}[/tex]
Domain of (f/g)(x) = All Real Numbers
Step-by-step explanation:
Given functions are:
[tex]f(x) = x^2+x-6\\g(x) = 3x-6[/tex]
We have to calculate f.g and f/g
In order to find f.g we have to multiply both functions
[tex](f.g)(x) = (x^2+x-6)(3x-6)\\= 3x(x^2+x-6) - 6(x^2+x-6)\\= 3x^3+3x^2-18x-6x^2-6x+36\\= 3x^3+3x^2-6x^2-18x-6x+36\\=3x^3-3x^2-24x+36[/tex]
The domain of (f.g)(x) is all real numbers
Now
[tex](\frac{f}{g})(x) = \frac{f(x)}{g(x)}\\= \frac{x^2+x-6}{3x-6}\\=\frac{x^2+3x-2x-6}{3x-6}\\=\frac{x(x+3)-2(x+3)}{3(x-2)}\\=\frac{(x+3)(x-2)}{3(x-2)}\\=\frac{x+3}{3}[/tex]
The domain of (f/g)(x) is all real numbers.
Hence,
[tex](f.g)(x) = 3x^3-3x^2-24x+36[/tex]
Domain of (f.g)(x) = All real numbers
[tex](\frac{f}{g})(x) = \frac{x+3}{3}[/tex]
Domain of (f/g)(x) = All Real Numbers
Out of 2,000 students in a high school, 800 of them were randomly selected and asked if they want the school’s mascot to change. Out of those surveyed, 250 want it to change.
With a desired confidence level of 99% and a corresponding z*-score of 2.58, what is the margin of error for this sample survey?
Answer:800
0.31
0.69
4.2
Step-by-step explanation:
Answer:
800
0.31
0.69 (nice)
4.2
Step-by-step explanation:
edgu 2020
help please help 20 points
Answer:
B is the awnswer
Step-by-step explanation:
because it is right the spinner has five sections so 1 out of five but then 4 out of 15 times it was spun it landed on q
Six friends go to a movie theater. In how many different ways can they sit together in a row of six empty seats?
Answer:
720
I think..i hope it helps
The number of ways that 6 friends can sit together in a row of six empty seats is 720.
What is Permutation?Permutation is defined as the calculation of a set such that it defines the number of ways that something can be arranged.
Given that,
Six friends go to a movie theater.
They have to be arranged in 6 different positions.
6 friends can be arranged in 6 different positions as 8P₈ ways.
Number of ways = 8P₈
= 8! / (8 - 8)!
= 8! / 0!
= 8!
= 720
Hence the number of ways that 6 friends can be arranged is 720 ways.
Learn more about Permutation here :
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Find the smallest zero of f(x + 5). x =
|| I
Answer:
.
Step-by-step explanation:
(X-2)^2 is subtracted from 3x^2-4x
Answer:
-2x^2-8x+4
Step-by-step explanation:
What is the measure of ∠3 if c∥d ?
Answer:
72°
Step-by-step explanation:
Since c||d, ∠3 would be the same as ∠1
Since those two are supplementary angles, subtract 180 with 108 to get the measure of ∠1 which is 72°.
Since ∠1 and ∠3 are corresponding angles, they'll be congruent meaning ∠3 is also 72°.
a building measure 8.4m wide by 9.3 the rest is in picture
Answer:
26.309932 MN if gravity was normal gravity force and on basis salt water was 1030 kg/m3
Step-by-step explanation:
The rule below is something I just found.
To calculate the force of gravity of an object, use the formula: force of gravity = mg, where m is the mass of the object and g is the acceleration of the object due to gravity. Since g is always 9.8 m/s^2, just multiply the object's mass by 9.8 and you'll get its force of gravity
Suppose y varies directly with x. Write an equation if y=75when x=25
Answer:
y = 3x
Step-by-step explanation:
The standard format of a directly proportional equation goes by the format of y = k × x. The question asks us to write an equation if y = 75 when x = 25 and y varies directly with x.
So we substitute the values y = 75 and x = 25 in the equation y = k × x
K = constant, we have to work this out
75 = k × 25
75 ÷ 25 = k
k = 75 ÷ 25
k = 3
k = 3 So then we put this back into the original y = k × x to find our final equation which is y = 3x
A machine makes rolls of paper. The rolls can be as wide as 33 feet or as narrow as 12 feet.
Which inequality describes the possible widths (w) of a roll of paper?
A. 12 2 w > 33
B. 12 SW <33
C 12 <w <33
D. 33 < W<12
E. 12 =w=33
i like tacos:) thats the answer lol
The inequality for width(w) is 12[tex]\leq[/tex]w [tex]\leq[/tex] 33
What is inequality?An inequality statement in algebra uses the inequality symbol to show the relationship between two expressions. On either side of an inequality sign, the expressions are not the same. It implies that the articulation on the left-hand side ought to be more noteworthy than or not exactly the articulation on the right-hand side or the other way around.
Given that a machine can roll a paper wide as 33feet and narrow as 12 feet
here we can say that 33 feet is the maximum limit of machine and 12 feet is minimum .
so the equation of width(w) should lie between 12 and 33 , so width can be greater or equal to 12 and less and equal to 33.
Hence the possible inequality is 12[tex]\leq[/tex]w [tex]\leq[/tex] 33
Learn more about inequality
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The Sum of The Angles in a Triangle
Answer:
A=20Step-by-step explanation:
180-110=70
90+70=160
180-160=20
Answer:
20°
Step-by-step explanation:
We know that the exterior angle of a triangle is equal to the sum of interior opposite angles.
<B + <A = <C
90° + <A = 110°
<A = 110° - 90°
<A = 20°
In the right triangle shown, \angle B = 60^\circ∠B=60
∘
angle, B, equals, 60, degrees and AB = 12AB=12A, B, equals, 12.
How long is ACACA, C?
Answer exactly, using a radical if needed.
The length of the side AC for the right triangle is 12√3 and the measure of angle C is equal to 30°.
The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering angle 60 for the right triangle with side AC opposite it we get;
tan 60 = AC/12 {opposite side/adjacent side}
√3 = AC/12
AC = 12 × √3 {cross multiplication}
AC = 12√3
angle C = 180 - (60 + 90) {sum of interior angles of a triangle}
angle C = 180 - 150
angle C = 30°.
Therefore, using the tangent of angles 60 we have the side length AC to be 12√3 and the measure of angle C is 30°.
Question:
In the right triangle shown below, angle B = 60° and side length AB = 12. How long is the side AC, and what is the size of angle C?
Answer exactly, using a radical if needed.
19
:Cual es la solucion en notación decimal
de la ecuacion 4/3y-5=-6
Anota tu respuesta en el espacio provisto.
For this case we must solve the following equation:
[tex]\frac {4} {3} y-5 = -6[/tex]
Adding 5 to both sides of the equation we have:
[tex]\frac {4} {3} y = -6 + 5[/tex]
Different signs are subtracted and the major sign is placed.
[tex]\frac {4} {3} y = -1[/tex]
We multiply by 3 both sides of the equation:
[tex]4y = -3[/tex]
We divide by 4 on both sides of the equation:
[tex]y = - \frac {3} {4}\\y = -0.75[/tex]
Thus, the solution of the equation is [tex]y = -0.75[/tex]
Answer:
[tex]y = -0.75[/tex]
Choose which one that doesn't belong.
1/20, 20/25, 2/3, 5/4
Explain why you chose the answer above.
Th fraction that does not belong is 5/4.
This is because it is an improper fraction while the others are proper fractions.
A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number belowan example of a fraction = [tex]\frac{2}{9}[/tex]
2 is the numerator while 9 is the denominator A proper fraction is a fraction is which the numerator is smaller in value than the denominator.An example is [tex]\frac{1}{20}[/tex]An improper fraction is a fraction in which the numerator is greater in value than the denominator An example is [tex]\frac{5}{4}[/tex]To learn more about improper fractions, please check : https://brainly.com/question/14549871?referrer=searchResults