Using the permutation and the combination formula, we have that:
a) The first three finishers can be awarded medals in 504 ways.
b) They can be arranged in 252 ways.
c) In how many ways can 4 students form a team from a set of 8.
If the order is important, the permutation formula is used.If the order is not important, the combination formula is used.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Permutation formula:
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Item a:
Order is important, as the finishers are ranked, hence:
[tex]P_{(9,3)} = \frac{9!}{6!} = 504[/tex]
The first three finishers can be awarded medals in 504 ways.
Item b:
The order is not important, hence:
[tex]C_{10,5} = \frac{10!}{5!5!} = 252[/tex]
They can be arranged in 252 ways.
Item c:
Situation in which the order is not important, hence, for example, in how many ways can 4 students form a team from a set of 8.
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How many real solutions are there for the quadratic equation below?
0=2x^2-3x+7
A) 0
B) 1
C) 2
D) infinite
Answer:
2 solutions
Step-by-step explanation:
2 solutions
3/4 - i[tex]\sqrt{47}[/tex]/4
3/4 + i[tex]\sqrt{47}[/tex]/4
I giv Brainliest
Please select the best answer from the choices provided
A
B
C
D
Answer:
c
Step-by-step explanation:
Answer:
The best answer is option C.
Step-by-step explanation:
Option A is a linear function, Option D is translating the non-linear function 4 units up but nowhere right or left, and I don't know about Option B...
In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achieve the graph of g(x) = log(-2x-4) + 1.
Using translation concepts, it is found that the parent function was:
Reflected over the x-axis.Horizontally compressed by a factor of 2.Shifted right 4 units.Shifted up 1 unit.The parent function is:
[tex]f(x) = \log{x}[/tex]
The first transformation is:
[tex]\log{x} \rightarrow \log{-x}[/tex]
Which means that it was reflected over the x-axis.Then, [tex]\log{-x} \rightarrow \log{-2x}[/tex], which means that it was horizontally compressed by a factor of 2.
Then, [tex]\log{-2x} \rightarrow \log{-2x - 4}[/tex], which means that it was shifted right 4 units.
Finally, 1 was added to the function, which means that it was shifted up 1 unit.
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6m+7n+5m−3n simpified
Answer:
11m + 4n
Step-by-step explanation:
when two numbers with the same variable are added together or subtracted the result is just the numbers added or subtracted. So you can add 6m and 5m to get 11m. and you can subtract 3n from 7n to get 4n
11m + 4n
(BRAINLIEST TO THE PERSON WHO HELPS ME WITH THESE THREE QUESTIONS)
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable.
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote.
Answer:
Cheryl's posts + 7 posts =Kevin Posts
K-C=7 or C+7+K I use them because C is Cheryl and K is Kevin
Operation=subtraction or addition because it could be K-C=7 or C+7+K
Cheryl wrote K-7=C posts
Answer:
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)
The expression will be P for "of posts Kevin writes."
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)
The operation I will use is subtraction so P-7.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)
Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )
can someone pls help i need your help
Answer:
12 miles
Step-by-step explanation:
You would have to divide $26.40 by $2.20 which equals 12 so she traveled 12 miles.
Add. Use models if needed. (-3x - 7) + (4x + 7)
-3x-7+4x+7
Negative -7 and positive 7 will give you 0.
So we're left with x. Therefore, the answer is x.
The perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction.
Answer:
4.8 cmStep-by-step explanation:
Given,
Perimeter of an equilateral triangle = 14.4 cm
As we know,
Perimeter of an equilateral triangle = 3 × sides (s) = 3s
Therefore,
By the problem,
=> 3s = 14.4 cm
[On dividing both sides with 3][tex] = > \frac{3s}{3} = \frac{14.4}{3} [/tex]
[On Simplification]=> s = 4.8 cm
Hence,
The required side of the given equilateral triangle is 4.8cm(Ans)
On Saturday Keisha ran 3.218 kilometers. on Su nday she ran 2.87 kilometers. How much further did she run on Saturday than on Sunday
Answer:
0.808 you find the difference between the two numbers
Write 2^100 as a power with the following base of 32.
Answer:
your answer is 30
Step-by-step explanation:
I have completed the test
Which expression has a sum of 1 2/21
A. 3/7 + 2/3
B. 4/7 + 1/3
C. 5/7 + 2/3
D. 6/7 + 1/3
Answer:
A. is the answer
Step-by-step explanation:
the LCM of 7 and 3 is 21.
When added it would be 9+14 =23
23/21= 1 2/21
All the numbers round to 7 except
6.61
7.89
6.58
7.37
If tanx = 0.75, what is the value of cosx + sinx ?
Answer:
theta is eq to 36.86 value is. 0.5998+0.8=1.399
a total materials variance is analyzed in terms of
Some nuts cost $22/kg. How much would 150 g cost?
Answer:
$3.30
Step-by-step explanation:
1 kg = 1000 g
therefore, 150 g = 0.15 kg
multiply the cost by the amount
22 x 0.15 = 3.3, or $3.30
anybody help please hm
Can someone please help?
Answer:
Well a midpoint makes the cutter segment or Line in exactly in half. So the two lines cutted are equal. In this case t is the midpoint. PT and TQ are equal. So you have two expressions, make then equal to each other since they are congruent.
6x+4=8x-8
12=2x
x=6
Now PT is 6x+4
So we subsitute x for 6 since x=6
6*6+4
40
PT is 40
Assigned seating forever! Ms. Clore has 28 desks in
her classroom. She numbers the desks from 1 to 28.
On the first day of class, Ms. Clore places identical
slips of paper numbered 1 to 28 in a hat. Each of the
28 students in her statistics class draws a slip from the
hat upon entering the classroom to determine his or
her assigned seat. How many possible seating assign-
ments are there?
Using the arrangement formula, it is found that there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.
The number of possible arrangements of n elements is given by the arrangement formula, as follows:
[tex]A_n = n![/tex]
It is used when n elements are arranged in n positions.In this problem, 28 students are arranged on 28 desks, hence [tex]n = 28[/tex], and:
[tex]A_{28} = 28! = 3.05 \times 10^{29}[/tex]
Hence, there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.
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Is 1 a real or an imaginary number?
у
42) Which equation best represents the line of best fit for this
scatter plot?
A. y = 4x - 4
B.y= 4x-2
C. y = x-4
D. y=x-2
the heights of two cylinders are in the ratio of 5:3 and their volume are in the ratio 20:27. then the ratio of their radius is...... ?
plz its urgent
Answer:
The ratio of their radius is [tex]2:3[/tex]
Step-by-step explanation:
Volume of cylinder is [tex]\pi r^2h[/tex], where r is radius and h is height
We have
The heights of two cylinders are in the ratio of [tex]5:3[/tex]
[tex]\frac{h_1}{h_2} =\frac{5}{3}[/tex]
The volume are in the ratio [tex]20:27[/tex]
[tex]\frac{V_1}{V_2} =\frac{20}{27}\\\\\frac{\pi r_1^2h_1}{\pi r_2^2h_2} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2}\times \frac{3}{5} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2} =\frac{4}{9}\\\\\frac{ r_1}{ r_2} =\frac{2}{3}[/tex]
The ratio of their radius is [tex]2:3[/tex]
Answer:
2 : 3
Step-by-step explanation:
Let,
Radius of cylinder 1 = R
Radius of cylinder 2 = r
Now,
We know that
Volume of cylinder = πr²h
=> πR²h/πr²h' = 20/27
=> R² × 5/r² × 3 = 20/27
=> R²/r² = 20/27 × 3/5
=> R²/r² = 4/9
=> R/r = √(4/9)
=> R/r = 2/3
=> R : r = 2 : 3
15 POINTS HELP PLZ
Which expression is equal to f(x) - g(x)?
Answer:
B) x^3-x^2-8x-2
Step-by-step explanation:
Expand the equation of g(x) to standard form
f(x) = x^3-4x+2
g(x) = x^2-4x+4
Subtract like terms in the equation and solve for the answer.
f(x) - g(x) = x^3-x^2-4x-4x+2-4
x^3-x^2-8x-2
15)
Solve for X
X\42=6
A)
7
B)
252
C)
260
D)
332
Answer:
b)252 is the answer
Step-by-step explanation:
x\42=6
x=6*42
x=252
someone please help me
Answer:
m = 5
Step-by-step explanation:
Since the triangles are similar in the way shown, then
6/10 = 3/m
6m = 10 × 3
m = 5
Please help! I need answers
Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours
Represent the time the Hill family and the Moore family use the sprinkler with H and M.
So, the total time is:
[tex]H + M = 60[/tex]
And the rate is:
[tex]25H + 20M = 1325[/tex]
Make H the subject in [tex]H + M = 60[/tex]
[tex]H= 60 - M[/tex]
Substitute 60 - M for H in [tex]25H + 20M = 1325[/tex]
[tex]25(60 - M) + 20M = 1325[/tex]
Open brackets
[tex]1500 - 25M + 20M = 1325[/tex]
Collect like terms
[tex]- 25M + 20M = 1325 - 1500[/tex]
[tex]- 5M = -175[/tex]
Divide both sides by -5
[tex]M = 35[/tex]
Recall that:
[tex]H= 60 - M[/tex]
So, we have:
[tex]H = 60 - 35[/tex]
[tex]H = 25[/tex]
Hence, Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours
Read more about system of equations at:
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Edin has £300 in his savings account. His bank offers him a fixed 5% simple interest rate per annum, for a period of 3 years.
4/9 + 9/18. Please help me as soon as possible, it's due today.
Answer:
[tex]\frac{17}{18}[/tex]
Step-by-step explanation:
To solve 4/9 + 9/18 just find the common denominator which is 18.
to get 4/9 to get the denominator of 18 you multiply the denominator by 2:
9 x 2 = 18, what you do to the bottom you do to the top (Multiply the numerator by 2 also) so, 4 x 2 = 8.
Now, add the numerator and keep the denominator the same. 8 + 9 = 17.
8/18 + 9/18 = 17/18
1
D
Question 1
Adding the complex numbers 7 - 6i and —3 + 8i is equivalent to the operation
(7 – 6) + (-3+8) i.
10 0breros construyen un complejo 336 días, ¿cuantos días les tomaría hacer el mismo complejo a 15 obreros?
Usando proporciones, se encuentra que 15 obreros hacerían el mismo complejo en 24 días.
Esta pregunta se resuelve por proporciones, usando una regla de tres. Cuanto mayor lo número de obreros, menor el tiempo, o sea, las medidas son inversamente proporcionales, lo que implica que la multiplicación es en línea.10 obreros toman 336 dias. ¿Cual el tiempo necessário para 15 obreros?La regla de três es:
10 obreros - 336 días
15 obreros - x días
Aplicando multiplicación en línea:
[tex]15x = 336(10)[/tex]
[tex]x = \frac{336(10)}{15}[/tex]
[tex]x = 24[/tex]
15 obreros hacerían el mismo complejo en 24 días.
Para obtener más información sobre las proporciones, puedes visitar a https://brainly.com/question/24615636
A 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees. What was the temperature at 6pm
Answer:
-9 degrees
Step-by-step explanation:
-14 + 8 = -6
-6 + 2 = -4
-4 - 5 = -9
The temperature at 6pm dropped down to 5°.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that at 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees
We can write -
T{6 AM} = - 14°
T{12 PM} = 8°
T{3 PM} = (8 + 2)° = 10°
T{6 PM} = 10° - 5° = 5°
Therefore, the temperature at 6pm dropped down to 5°.
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