Answer:
[tex]^{15} C_{5} = 3,003 \\[/tex]
Step-by-step explanation:
here , we want to evaluate the value of 15 combination 5
Mathematically, we have the general combination formula as follows;
[tex]{n} C^{r} =\frac{n!}{(n-r)!r!}[/tex]
In this case , n is 15 and r is 5
Thus , we have it that;
[tex]^{15} C_{5} = \frac{15!}{(15-5)!5!} \\= \frac{15!}{10!5!} =\frac{15x14x13x12x11x10!}{10!5!} \\=\frac{15x14x13x12x11}{5!} \\\frac{15x14x13x12x11}{5x4x3x2xx1}=3,003\\[/tex]
PLEASE MARK ME AS BRAINLIEST
After evaluating, we get [tex]^{15} C_{5}=3003[/tex]
Combination :The combination of selecting r object from n object is given as,
[tex]^{n} C_{r}=\frac{n!}{r!(n-r)!}[/tex]
We have to find [tex]^{15} C_{5}[/tex].
[tex]^{15} C_{5}=\frac{15!}{5!*10!} \\\\^{15} C_{5}=\frac{15*14*13*12*11*10!}{(5*4*3*2*1)*(10!)} \\\\^{15} C_{5}==\frac{360360}{120} \\\\^{15} C_{5}=3003[/tex]
Learn more about the Permutation and combination here:
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Let ƒ(x) = x − 1 and g(x) = 1 − x. What is ƒ • g?
Answer:
–2x2 + 13
Step-by-step explanation:
8
Skate World offers birthday parties for a fee of $180 plus $2 per person. If you can spend no more than $210 on
your party, what is the maximum number of people who can attend?
Answer: 105
Step-by-step explanation: Skate World offers birthday parties for a fee of $180 plus $2 per person. If you can spend no more than $210 on
your party, what is the maximum number of people who (can) attend?
The keyword "can" is telling us to basically tell us to find how much people (can) attend. Not how much will attend.
210/2=105
please i’m so confused please helpp
Answer:
∠5=∠7=∠6=∠8=143°
∠4=∠2=∠1=37°
Step-by-step explanation:
∠4=180-∠6=180-143=37°
what is 1 2/5 × x = 7
Answer:
x=5
Step-by-step explanation:
The surface of an office desk has an area of 18 square feet. Its perimeter is 18 feet. What are the dimensions of the desk?
Answer:
the dimensions are 3 and 6 feet
Step-by-step explanation:
xy=18
x+y=9
x=9-y
y(9-y)=18
-y^2+9y -18=0
y^2-9y+18=0
(y-6)(y-3)=0
if y=6, x=3
if y=3, x=6
A custodian plans to repaint some classroom bookcases. She has 6 1/4 gallons of paint. All of the bookcases are the same size and each requires 2/3 gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?
Answer:
9 bookcases
Step-by-step explanation:
(6 1/4) divide by 2/3 convert the first one to a mixed fraction, 6*4 =24 +1 = 25/4
and then common denominator 2/3 = 8/12 and 25/4 = 75/12 and then 75 / 8 = 9.----- but you can only paint 9.
PLEASE HELP!!! 20 POINTS! FAKE RESPONSES REPORTED
<NPQ = <NMQ i believe, making it so that <NPQ is 62 degrease
Answer:
118 degrees
Step-by-step explanation:
quadrilaterals add up to 360
NMQ is 62 degrees so MPQ must be too
62 x 2=124 360-124=236
236/2=118
A homeowner wishes to put a fence around a space in her yard to create a dog pen. The space that she wants to fence in is shown below where each unit on the
graph represents one foot,
6
How many feet of fencing will the homeowner need to build the dog pen?
38 + 4V2
54
52
38 + 1072
Answer: the answer is C 52
Step-by-step explanation:
The length of the fencing needed is given by the lengths of the lines
that goes around the space she wants to fence shown in the graph.
Correct response:
The amount of fencing the homeowner needs is; 38 + 10·√2Methods used to find the length of fencing neededThe coordinates of the vertices of the fenced area are presented as
follows;
A(-7, 7), B(4, 7), C(6, -7), and D(-7, -7)
Therefore, by finding the distance between the given points, we have;
Length of AB = 4 - (-7) = 11
Length of AD = 7 - (-7) = 14
Length of CD = 6 - (-7) = 13
Length of BC = √((6 - 4)² + (-7 - 7)²) = [tex]\sqrt{200}[/tex] = 10·√2
Length of fencing needed, L = AB + AD + CD + BC
Which gives;
L = 11 + 14 + 13 + 10·√2 = 38 + 10·√2
The length of fencing needed, L = 38 + 10·√2Learn more about the distance between points given the coordinates here:
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A map has a scale of 1 inch : 3 miles.
How far are two airports apart if they are 6 inches apart on the map?
Determine the slope (m) and y-intercept (b) of the line:
y = 1/2 x + 1
Answer:
m=1/2, b=1
Step-by-step explanation:
y=1/2x+1
y=mx+b
y is the y coordinate
m is the slope
x is the x coordinate
b is the y-intercept
You would identify that 1/2 is substituted into the equation as m aka the slope and 1 substituted for the b value aka y-intercept
Can anybody solve this? Will give out 20 POINTS if you are SMART!
Answer:
⬇️
⬇️
⬇️
⬇️
⬇️
⬇️
⬇️
Answer:
11x^2- 16x- 4
Step-by-step explanation:
Which expression represents
the area of a rectangle with
sides measuring 7x4y2z units and
2xy5z14?
______________________________
1.) To solve this you must first know the formula for area of a rectangle:Area [tex]=\sf{H}[/tex] × [tex]\sf{W}[/tex]Area [tex]=7x^4y^2z[/tex] × [tex]2xy^5z^{14}[/tex]Note:
- It doesn't matter which measurement fills the height or width part in the formula.
Equation at the end of Step 1:
[tex]7x^4y^2z[/tex] × [tex]2xy^5z^{14}[/tex][tex]2xy^5z^{14}[/tex] × [tex]7x^4y^2z[/tex]2.) Add 4 and 1, (x powers:)[tex]x^4+x=x^5[/tex]Note:
- To multiply powers of the same base, you can add their exponents. So you just do [tex]4+1=5[/tex].
- When you have a plain variable like [tex]x[/tex], you can assume [tex]x=1[/tex].
Equation at the end of Step 2:
[tex]7x^5y^2z[/tex] × [tex]2y^5z^{14}[/tex]3.) Add 2 and 5, (y powers:)[tex]y^2+y^5=y^7[/tex]Note:
- To multiply powers of the same base, you can add their exponents. So you just do [tex]2+5=7[/tex].
Equation at the end of Step 3:
[tex]7x^5y^7z[/tex] × [tex]2z^{14}[/tex]4.) Add 1 and 14, (z powers:)[tex]z+z^{14}=z^{15}[/tex]Note:
- To multiply powers of the same base, you can add their exponents. So you just do [tex]1+14=15[/tex].
- When you have a plain variable like [tex]z[/tex], you can assume [tex]z=1[/tex].
Equation at the end of Step 4:
[tex]7x^5y^7z^{15}[/tex] × [tex]2[/tex]5.) Multiply 7 and 2:[tex]7[/tex] × [tex]2=14[/tex]Note:
- Since we combine all the powers and multiplied the bases, all you have to do is put it all together in 1 form like we were doing after we added powers in the earlier steps.
Equation at the end of All Steps:
[tex]14x^5y^7z^{15}[/tex]______________________________
4x^3 -5x^2-23x+6 what is the distance to the nearest hundredth of a unit , between the two zeros that are closest to each other
Answer:
-4x+7<3 (2+x)
Step-by-step explanation:
-4x+7<3 (2+x)-4x+7<3 (2+x)
construct a triangle ABC such that AB = 3.5 , BC = 6 cm and AC = 6.5 measure the three angles
Answer:
180 degrees!
Step-by-step explanation:
Hope this helps, Have a good day!
An amusment park ticket costs $40. You have a 5%
off coupon. How much is the price of the ticket?
Answer:
38
Step-by-step explanation:
If Lauren can jog 2 miles in 2/5 hours, she can jog _____ miles in 1 hour.
Answer:
1/5 miles
Step-by-step explanation:
2/5 divided by 2 = 1/5
Kristen and her brothers had a pizza divided into 10 slices. She and her two
brothers ate a total of 5 slices. What fraction of the pizza did they eat?
Answer:
1/2
Step-by-step explanation:
1. A circular running track is 1/4 mile long. Elena runs on this track, completing each lap in 1/20 of an hour. What is Elena's running speed, in miles per hour?
Answer: Elena's running speed = 5 miles per hour.
Step-by-step explanation:
Length of track = [tex]\dfrac14 \text{ mile}[/tex]
Time taken to complete one lap = [tex]\dfrac{1}{20}[/tex] of an hour.
Elena's running speed = [tex]\dfrac{Distance}{Time}[/tex]
[tex]=\dfrac{\dfrac14}{\dfrac1{20}}\text{ miles per hour}\\\\=\dfrac{20}{4}\text{ miles per hour}\\\\=5\text{ miles per hour}[/tex]
Hence, Elena's running speed = 5 miles per hour.
Which expression is equivalent to the following complex fraction?
2-
V
3+
1
3y + 1
2y-1
h
on
cs
(2x-1)(3+1)
le
ole
(-1*81
2y-1)(3y + 1)
2y-1
3y + 1
Mark this and return
Save and Exit
Nexi
Submit
Answer:
pls rewrite the question
Step-by-step explanation:
pls rewrite
I need help who can help me ??
Answer:
Step-by-step explanation:
10
please answer asap
What degree measure is equivalent to 5π?
900°
450°
36°
90°
Answer:
900
Step-by-step explanation:
The equivalent degree measure of 5π ard is 900°.
What are the measure of reference angles according to quadrats?We have I, II, III, IV quadrants.
In quadrant I the referece angle Ф is Ф.
In quadrant II the referece angle Ф is (π - Ф).
In quadrant III the referece angle Ф is (π + Ф).
In quadrant IV the referece angle Ф is (2π - Ф).
We know π is equal to 180°.
The conversion of radian to degrees is we multiply the radian value by 180°/π.
Given, The radian measure is 5π.
Therefore, the equivalent degree measure is,
= (5π)×(180/π).
= (5×180)°.
= 900°.
The equivalent conversion of radian to degrees.
learn more about radian here :
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3. Kathy earns a 6% commission on every house she sells. How much
commission would Kathy make on the sale of a $650,000 house
A. $3.900
B. $39.000
C. $390,000
D. $3.900.000
Please please help
Answer:
The correct answer is Option B: $39000
Step-by-step explanation:
Given that
Price of House = P = $650000
Rate of commission = r= 6%
In order to calculate the commission amount of Kathy, we only have to calculate 6% of $650000 or by simply multiplying the price by 0.06
So,
[tex]Commission = 6\%\ of\ 650000\\=0.06*650000\\=39000[/tex]
The commission is: $39000
Hence,
The correct answer is Option B: $39000
what’s the area of the figure for a brianlist !?!
Answer:
12a^3b^4
Step-by-step explanation:
area of triangle = bh/2
area = 3ab^3 * 8a^2b / 2
area = 24a^3b^4/2
area = 12a^3b^4
Solve the inequality (one-step):
10 < b - 8
Answer:
B>18
Step-by-step explanation:
I like to rewrite it like this:
b-8>10
Now solve:
b>18
Answer: b >18
Step-by-step explanation: add 8 to both sides .( 8+10 < b - 8+8) now you get 18 < b .But variable must go first so you put b and then flip the inequality sign to > and put 18.So now you have b >18 as your inequality.
Hope it helps :)
What are the solutions to the equation
2-4x^2= -110?
will give brainliest
20 POINTS!!!!!
w + 4 = - 6
Answer: w= -10
Step-by-step explanation: move all terms not containing w to the right side of the equation
evaluate 4y when y = 15
Answer:
60
Step-by-step explanation:
it would be 4(15).
Answer:
60
Step-by-step explanation:
4(15) replace y with 15
Multiply 4 times 15 and you'll get 60
simplify 2x4 a_3 =16a÷8 1_a
Answer:
(a+2) (a-18)
Step-by-step explanation:
Factoring a2-16a-36
The first term is, a2 its coefficient is 1 .
The middle term is, -16a its coefficient is -16 .
The last term, "the constant", is -36
Step-1 : Multiply the coefficient of the first term by the constant 1 • -36 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -16 .
-36 + 1 = -35
-18 + 2 = -16 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 2
a2 - 18a + 2a - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
a • (a-18)
Add up the last 2 terms, pulling out common factors :
2 • (a-18)
Step-5 : Add up the four terms of step 4 :
(a+2) • (a-18)
Which is the desired factorization
Al wants to put tile in his kitchen that measures 13 feet long and 7 feet wide. How much tile will he need?
Answer:
Al will need 91 feet of tile to go into his kitchen.
Step-by-step explanation:
A=L x W
A = 13 x 7
A = 91 ft.
Can anyone please help me?
Answer:
You multiply 5 by 1/5 to get 1. So with 2x, you multiply by 1/(2x) to get 1. That's about all you know, since we only know that x is positive.
Step-by-step explanation:
Hope it helps
Answer:
[tex]\frac{25}{10x-1}[/tex]
Step-by-step explanation:
The multiplicative inverse of "a" is " [tex]\frac{1}{a}[/tex] "
a × [tex]\frac{1}{a}[/tex] = 1
~~~~~~~~~~~
[tex]\frac{1}{5}[/tex] ( 2x - [tex]\frac{1}{5}[/tex] ) = [tex]\frac{2}{5}[/tex] x - [tex]\frac{1}{25}[/tex]
1 ÷ ( [tex]\frac{2}{5}[/tex] x - [tex]\frac{1}{25}[/tex] ) = 1 ÷ ( [tex]\frac{10x}{25}[/tex] - [tex]\frac{1}{25}[/tex] ) = 1 ÷ ( [tex]\frac{10x - 1}{25}[/tex] ) = [tex]\frac{25}{10x-1}[/tex]
The multiplicative inverse of the product is [tex]\frac{25}{10x-1}[/tex]