Answer:
126
Step-by-step explanation:
Total number of apples = 9
Number of favourite Mathematics lecturers = 5
To find number of ways in which 9 (identical) apples can be given to your 5 favourite Mathematics lecturers, find [tex]C(9,5)[/tex]
Combination refer to selection of items such that order does not matter.
Use [tex]C(n,p)=\frac{n!}{p!(n-p)!}[/tex]
Put [tex]n=9,p=5[/tex]
[tex]C(9,5)=\frac{9!}{5!(9-5)!}\\=\frac{9!}{5!4!}\\=\frac{9(8)(7)(6)5!}{5!4!} \\=\frac{9(8)(7)(6)}{4(3)(2)(1)}\\=126[/tex]
The given figure is a regular hexagon with side length 12 and radius 10. Find its area.
Question 11 options:
A)
120
B)
96
C)
288
D)
576
Answer:
its C
Step-by-step explanation:
The area of a regular hexagon is 288 square units, which is option C.
What is a regular hexagon?A hexagon is a six-sided polygon. And a regular hexagon means, the hexagon's sides are equal.
And no interior angle has an angle measuring more than 120°.
As per the given information, we can create 6 equal size triangles.
For that find the length of the apothem,
As per Pythagoras' theorem,
Apothem = √(10)² - (6)² = √(64) = 8.
Now, the area of the regular hexagon can be described as,
S = 6 x 1/2 x 12 x 8
S = 288 square units.
Therefore, the area of the required hexagon is 288 square units.
To learn more about the hexagon;
https://brainly.com/question/16615236
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For all numbers x, f(x) = 3x + 3. What is the value of
f(3)?
Which multiplication expression is equal to 2/5÷2/3?
Answer:
2/5 × 3/2
I hope this helps!
Rewrite the expression in the form b^n
Answer:
b 15/4
Step-by-step explanation:
Find the slope of the line perpendicular to the graph of y− 1/5 x=7
Please Help!
Answer:
-5
Step-by-step explanation:
Because y = 1/5x +7
and perpendicular is negative and reciprocal
so
-5
graph 3x-2y=6 how do you graph this in algebra
Answer:
I don't have algebra but I suggest looking it up and it might show you at the very top.
Step-by-step explanation:
Hope this helps you:)
all of listen if you don't get answers if you get difficult to answer question then do one thing
1.just type question in google
2.then search it then you can see many answers were shown
3.just choose one answer from that and then write this is easy thats why
ok thx going to back my server I just came to visit
Answer:
Thank for the help
Step-by-step explanation:
Which graph shows a proportional relationship between the number of hours of renting a boat and the total amount spent to rent the boat?
Answer:
Its B
Step-by-step explanation:
The product of two numbers is 16/3 if one of the number is 48/5 what is the other one?
Answer:
The other number is 5/9.
Step-by-step explanation:
16/3 = 48/5 * x
x = 5/9
PRETTY PLEASE HELP this is my last question im stuck on
Write an equation for the line that goes through point (-1,4) and is parallel to the
line y = 2x - 9
Answer:
y = 2x + 6
slope = 2
y intercept = 6
Divide 3 divided by 2/5
7
7 1/5
7 1/2
8
Anthe answer is x times (6)7x10)-1(3)
Step-by-step explanation:
What is the equation of the line that passes through the point (4, -8) and has a
slope of -12
decimals that equals 1
Answer:
0.01
Step-by-step explanation:
PLEASE HELP ME I WILL MARK AS THE BRAINLIEST ANSWER
A unicycle wheel has a diameter of 12 inches. How many inches will the
unicycle travel in 5 revolutions?
Use u = 3.14 and round your answer to the nearest hundredth of an inch.
Answer:
226.19 inches
Step-by-step explanation:
I'm pretty sure that's the answer
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
-$6.75
-$9.00
-$12.00
-$27.00
Answer: 27.00
Step-by-step explanation:
$50 - $23 = $27
Answer:
$27.00
Step-by-step explanation:
"D"
Which equation is quadratic in form?
2(x + 5)2 + 8x + 5 + 6 = 0
x6 + 6x4 + 8 = 0
7x6 + 36x3 + 5 = 0
4x9 + 20x3 + 25 = 0
Answer:
I think it's the first one... but I'm not pretty sure.
Answer:
C
Step-by-step explanation:
edge 2020
Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.
Answer:
The expected value of this policy to the insurance company is $206.97
Step-by-step explanation:
Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290
Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710
Expected Value E(X) = ∑xp(x)
E(X) = $290*(0.999563) + (-$189,710* 0.000437)
E(X) = $289.87327 - $82.90327
E(X) = $206.97
Thus, the expected value of this policy to the insurance company is $206.97
question below please answer
Answer:
the awenser is D
Step-by-step explanation:
took the test lolz
SOLVE 4x9( 12/(5-2)^3)+9
Answer:
16x^9/9+9 should be the answer
Step-by-step explanation:
Which set of numbers includes only integers?
Answer:
the second one because an integer is a whole number and is not a fraction
PLEASE HELP!! ;)
What is the result when the number 14 is increased by 4.1%?
Answer:
14.574
Step-by-step explanation:
Answer:
Step-by-step explanation:
14.574
The LCD for
17 and 1/2
is
07
08
15
56
Answer:
its 2
Step-by-step explanation:
Rewriting input as fractions if necessary:
17/1, 1/2
For the denominators (1, 2) the least common multiple (LCM) is 2.
Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form.
(−2, −4), (2, 0)
Answer:
y = x - 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Point (-2, -4)
Point (2, 0)
Step 2: Find slope m
Substitute: [tex]m=\frac{0+4}{2+2}[/tex]Add: [tex]m=\frac{4}{4}[/tex]Divide: [tex]m=1[/tex]Step 3: Find y-intercept b
Substitute in m: y = x + bSubstitute in point: 0 = 2 + bIsolate b: -2 = bRewrite: b = -2Step 4: Write linear equation
Slope-Intercept Form: y = x - 2
And we have our final answer!
|| evaluate. ||
m/ 2 for m = 8
help asap plsplspls !! :)
Answer:
4
Step-by-step explanation:
8/2=4
What is the factored form of x3 + 216?
A.
(x − 6)(x2 + 6x + 36)
B.
(x + 6)(x2 − 6x + 36)
C.
(x + 6)(x2 − 12x + 36)
D.
(x + 6)(x2 + 12x + 36)
Answer:
now using the formula (a-b) (a2+ab+b2)=a3-b3
=>x3-63
x3-216#answer
The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36). Then the correct option is B.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The cubic polynomial is given below.
⇒ x³ + 216
Then the cubic polynomial is written as,
⇒ x³ + 6 × 6 × 6
⇒ x³ + 6³
We know that the formula of a³ + b³ is given as,
a³ + b³ = (a + b)(a² – ab + b²)
Compare the expression, we have a = x and b = 6. Then the expression will be
x³ + 6³ = (x + 6)(x² – 6x + 6²)
x³ + 6³ = (x + 6)(x² – 6x + 36)
The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36).
Then the correct option is B.
More about the factorization link is given below.
https://brainly.com/question/6810544
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Friction is a force too. how can friction help you in your daily life? how can it hurt you?
Answer:
friction is what helps you to walk
Step-by-step explanation:
your foot rubbing against the floor cause friction
Answer:
Friction helps you: Brakes us friction to stop a wheel like on cars, bikes, etc.
Friction hurts you: It can hurt you like when you fall it creates friction and can scrape yourself
-4(X + 3) s-2 - 2x
What is the solution?
1. Write an expression for 8 less than 2
times a number.
Answer:
8<2x
Step-by-step explanation:
Answer:
8<2x
Step-by-step explanation:
I hope this helped! :D
Witch variable represents the y intercept
Answer:
B
Step-by-step explanation:
Y=mx=b
m= slope
b= y- intercept
x&y are variables