Answer:
A : 35 + 5n ≥ 90, so n ≥ 11
Step-by-step explanation:
Just took the assesment!
Use binomial expansion to solve each exercise. (a) Find the coefficient of xy19 in (3x − 2y) 20.(b) Give a formula for the coefficient of x k in (x+1/ x) n .
9514 1404 393
Answer:
(a) -29,884,416
(b) C(n,(n -k)/2) . . . where C(n,k) = n!/(k!(n-k)!) and k ∈ ℕ
Step-by-step explanation:
(a) The coefficient of the k-th term of the expansion is ...
C(20,k)(3x)^(20-k)(-2y)^k
For k=19, this is ...
19(3x)(-2y)^19 = -29,884,416xy^19
The coefficient of the term is -29,884,416.
__
(b) The p-th term of the expansion of (x +1/x)^n is ...
C(n,p)(x^(n-p)(1/x)^p = C(n,p)(x^(n-2p))
For some exponent k of x, the value of p will be ...
k = n -2p
p = (n -k)/2
Then the coefficient of x^k will be C(n, (n-k)/2), where C(n, x) = n!/(x!(n-x)!).
You will notice that there will only be a term x^k for k having the same parity as n.
A company makes a very durable product. The company sells 20,000 products in the first year but will be diminishing sales due to the product's durability, so each year it can expect to sell only 75% of the quantity it will have sold the year before. How many products can the company expect to eventually sell?
a. 26,667 products
b. 40,000 products
c. 80,000 products
d. 35,000 products
Answer:
c. 80,000 products
Step-by-step explanation:
Year 1 = 20000
20000 * 0.75 = 15000
Year 2 = 15000
15000 * 0.75 = 11250
Year 3 = 11250
11250 * 0.75 = 8437.5
Etc.
20000 + 15000+ 11250 + 8437.5 = 54687.5
If you continue this, you'll eventually reach 80000
80000 products can the company expect to eventually sell.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
Given,
The company sells 20,000 products in the first year
a=20000
each year it can expect to sell only 75% of the quantity it will have sold the year before
r=75/100=0.75
Sum of Geometric sequence S=a/1-r
S=20000/1-0.75
S=20000/0.25
S=80000
Hence, 80000 products can the company expect to eventually sell.
To learn more on Sequence click:
https://brainly.com/question/21961097
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i ready algebra help
Answer:
It is the first one
Step-by-step explanation:
Solve
44 - 3 (30 - 22) + 1/2 (66 - 88)
Answer:
59 1/2
Step-by-step explanation:
(3 X 10^2) (3 X 10^3)
Answer pls
Answer:
900000
Step-by-step explanation:
= (3 x 10 ^ 2) (3 x 10 ^ 3)
= (3 x 100) (3 x 1000)
= (300) (3000)
= 900000
HOPE THIS HELPS
PLZ MARK BRAINLIEST
show work and ill give credit
9514 1404 393
Answer:
5
Step-by-step explanation:
To solve the inequality, we can do the following.
4.55g + 8.50 ≤ 35 . . . given
4.55g ≤ 26.50 . . . . . . subtract 8.50 from both sides
g ≤ 5.82... . . . . . . . . . . divide both sides by 4.55
The number of games must be an integer value, so the maximum number of games they can bowl is 5.
An electronics store has a current inventory of 50 stereo systems. The lowest priced stereo system in the store sells for $800, The lowest priced stereo system in the store sells for 800 dollars, and the highest priced stereo system sells for $3000. and the highest priced stereo system sells for 3000 dollars. Which of the following is the maximum amount of $3000 systems on hand Which of the following is the maximum amount of 3000 dollar systems on hand if the current inventory totals $111,000?
The answer is 32, I need an explanation how to find the answer.
1. Vocabulary Define opposites.
Answer:
Opposite means: im going to do something but in "reverse" like opposite day.
Step-by-step explanation:
Branliest to right answer
Answer:
the second one
Step-by-step explanation:
Plz help it would mean a lot
Answer:
proportional/equal
Step-by-step explanation:
doesnt need
13. Find the slope of any PLZ HELP!!!! 13. Find the slope of any line parallel to the line passing through (1,5) and (-1,0).
a. 5/2
b. 2/5
c. -5/2
d. -5/2
Answer:
a
Step-by-step explanation:
5- 0 = 5
1- -1 = 2
5/2
determine the size of triangle v show all your steps and give reasons for your statement
Answer:
95°
Step-by-step explanation:
since sum of interior angles add upto 180°
2x+3x+5+25°=180°
substituting you get
5x+30°=180°
5x=180-30
5x=150°
therefore divide
you will get x=30°
angle at v =30×3+5
=95°
need help on number 12 and 13 please!
Answer:3/4
4/3
Step-by-step explanation:
it i this
hmmmmmmmmmmmm please help uwu
Answer:
10.50 per hour
Step-by-step explanation:
I divided 26.25 by 2.5 and got 10.5. Hope this helps!
14. Veronica is choosing between two health clubs.
After how many months will the total cost for
each health club be the same?
Yoga Studio
Yoga Studio A
Membership 522.00
Monthly Fee $24.50
Membership 547.00
Monthly Fee $18.25
Answer:
The total cost for each health club would be the same after 4 months.
Step-by-step explanation:
Answer:
The total cost for each health club will be the same after 4 months.
Step-by-step explanation:
For studio A:
Membership fee = $22.00
Monthly Fee = $24.50
The equation for studio A:
A = 22 + 24.5xFor studio B:
Membership fee = $47.00
Monthly Fee = $18.25
The equation for studio B:
B = 47 + 18.25xLet 'x' be the month of membership
We must have to find the value of month or 'x' for which the total cost at each health studio is the same.
i.e. when A = B
Hence, the expression will be
A = B
22 + 24.5x = 47 + 18.25x
Please note that if we put x=4, the L.H.S and R.H.S of the equations become the same
i.e.
22 + 24.5(4) = 47 + 18.25(4)
22 + 98 = 47 + 73
120 = 120
so, at x=4 the equations become the same.
Therefore, the total cost for each health club would be the same after 4 months.
A scuba diver is swimming at an elevation of 52 feet below sea level. She sees it'school of fish and rises 16 feet to watch the fish. What is her elevation now?
-46
52-16=negative 46 because shes still below sea level
Answer:
36 feet below sea level.
Step-by-step explanation:
if you subtract 52 by 16 you'd get 36. See for yourself.
Hi there~
Divide:
4 1/3 ÷ 1 2/9
7925 divided by 25 can you help
Answer:
317
Step-by-step explanation:
hope this helped:))))))
8x+16-3x+2 how do you get simplifies
Answer:
5x + 18
Step-by-step explanation:
simplify : 8x - 3x + 16 + 2 = ?
5x + 18 = ?
wait do you want to solve it or just simplify? If it is just simplify, can you mark me brainliest? =)
Write 2/3 as a decimal and round to 3 significant figures
Answer:
0,66
Step-by-step explanation:
You can put it into a calculator, that might be just as helpful and less time-consuming, because 2/3 is the same as 2÷3
Answer:
0.667
Step-by-step explanation:
[tex]\frac{2}{3} =0.6666666666666666[/tex]
Appropriate Inverse Operation
Which would be used to solve this equation? Check all that apply.
=12
3
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
*
Intro
four ninths minus four tenths
Answer:
2/45
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answer:
2/45
Step-by-step explanation:
4/9 - 2/5
multiply 4 by 5 and 2 by 9
(20-18)/45
2/45
Angle W measures 68 degrees more than angle F. Angles Wand
Fare supplementary. What is the measure of angle W?
Answer: The measure of angle W is 124°.
Step-by-step explanation:
Given: Angles W and F are supplementary.
We know that the sum of two supplementary angles is 180 degrees.
So, ∠W + ∠F = 180° (i)
As per given,
∠W = ∠F + 68° (ii)
Put value of ∠W from (ii) in (i)
∠F + 68°+∠F = 180°
⇒ 2 ∠F = 180°- 68°
⇒ 2 ∠F = 112°
⇒ ∠F = 56°
From (ii),
∠W = 56° + 68°
⇒ 124°
Hence, the measure of angle W is 124°.
C= 5/9(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:is yummy
Step-by-step explanation:1 eat a lot of food. Then you go to the potty. Then you poop and then wipe yourThen you flush the toilet and wash your hands.
Use the power property to rewrite log3x9.
Answer:
[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]
Step-by-step explanation:
Given the expression
[tex]\log _3\:x^9[/tex]
now rewriting the expression
[tex]\log _3\:x^9[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]
[tex]=9\log _3\left(x\right)[/tex]
Therefore,
[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]
Answer:
B
Step-by-step explanation:
edge
Please help I need these quickly. Please answer sensibly! I will give brainliest to the correct answer.
Answer:
n+n= 2n
[tex](3n) ^{2} = 9n ^{2} [/tex]
5(n+2)=5n+10
2(n+1)=2n+1
[tex]n \div 4 = \frac{n}{4} [/tex]
[tex]n(n - 2 = n{2} - 2n[/tex]
Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function
Answer: Its a function
Step-by-step explanation:
The measure of angel B is (3x - 4)º and the measure of angel D is (2x - 6)°. What are the measures of angles B and D?
Answer:
b=110 d=70
Step-by-step explanation:
Answer:
110 70
Step-by-step explanation:
Scenarios can be translated into
Answer:
can you please describe it more
Step-by-step explanation:
Any hypothesis that an analyst has accepted to be true and which forms the basis of an assessment is a: ______
Answer:
The correct answer is the alternate hypothesis.
Step-by-step explanation:
A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.
It is a hypothesis of no difference.
It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.
For instance, H₀: µ = µ₀, where µ₀ is some null value or some claimed value.
Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.
The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.
It is also known as the research hypothesis and is denoted by Hₐ.
Thus, the correct answer is the alternate hypothesis.