Step-by-step explanation:
[tex]\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}[/tex]
The binomial theorem states that for some a,b∈R and some k ∈Z+ ,
(a+b)k=∑n=0k(kn)ak−nbn.
The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:
(1+x)k=∑n=0∞(kn)xn .
Note that the binomial theorem produces a finite sum and the binomial series produces an infinite sum.
The binomial series enables us to apply the binomial theorem when k is not a positive integer.
What is the binomial theorem?The binomial theorem (or binomial expansion) in elementary algebra describes the algebraic expansion of binomial powers.
The binomial theorem states that for some a,b∈R and some k ∈Z+ ,
(a+b)k=∑n=0k(kn)ak−nbn.
The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:
(1+x)k=∑n=0∞(kn)xn.
Hence, when k is not a positive integer, we can use the binomial series to apply the binomial theorem.
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Solve the following system of equations by elimination. What is the value of y?
Answer:
y=3
Step-by-step explanation:
Simplify and Factorise a(a + b - c) - bc
Step-by-step explanation:
[tex] = a(a + ab - c) - bc[/tex]
[tex] = {a}^{2} + {a}^{2} + ab - ac - bc[/tex]
[tex] = {2a}^{2} + ab - ac - bc[/tex]
(he was flunking school to get out of school plus he worked at kfc and loved his job, during the 11th grade btw)
summerize this:
I didn’t know what I was doing or what I believed in, except the United States of America and the Cleveland Browns. Sometimes, to break my addiction to the tube[1], I spent the night in a derelict shed with mushrooms growing from the rafter boards. Back-yard rehab. I used to read in there, or, anyway, swing my eyes over the pages of library books: “Out of Africa” (the girl I was in love with loved the move); Donal Trump’s autobiography; Kierkegaard; “Leaves of Grass”; a book about how to make a robot from an eight-track player. As long as nobody had assigned the book, I could stick with it. I didn’t know what I was reading. I didn’t really know how to read. Reading messed with my brain in an unaccountable way. It made me happy; or something. I copied out the first paragraph of Annie Dillard’s “An American Childhood” on my bedroom’s dormer wall. The book was a present from an ace teacher, a literary evangelist in classy shoes, who also flunked me, of course, with good reason. Even to myself I was a lost cause.
solve for v, if u=15, a=8, and t=2 v=utat
[tex]\bold{Hey\ there!}[/tex]
[tex]\bold{v=u+at}[/tex]
[tex]\bold{u=15}}[/tex]
[tex]\bold{a=8}[/tex]
[tex]\bold{t=2}[/tex]
[tex]\bold{New\ equation: v =15+8(2)}[/tex]
[tex]\bold{15+8(2)}\\ \bold{8(2)=16}\\\bold{15+16=31}[/tex]
[tex]\boxed{\boxed{\bold{{Answer:v= 31}}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
i thought of a number, increased it by nine, and then multiplied by 6. the resulting number was 282. what was my number
Answer:
n+9)6=282
n+9=47
n=38
Step-by-step explanation:
Answer:
38
Step-by-step explanation:
282/6=47
47-9=38
PLEASE HELP ME WITH THIS!!!!!!
Answer:
[tex]\boxed{\pink{\bf Yes \ \angle L = \angle O . }}[/tex]
Step-by-step explanation:A figure is given to us in which ML = MO . And we have to Prove ∆ MLN [tex]\cong[/tex] ∆ MON .
Hence here , in ∆ MLN & ∆ MON ,
ML = MO ( given ) ∠LMN = ∠MON ( Given ) MN = MN ( Common)Hence by SAS congruence condition
[tex]\boxed{\red{\bf \triangle MLN \cong \triangle MON}}[/tex]
____________________________________
(ii) Yes ∠ L = ∠ O will be equal to each other .( by cpctc )
Extra Information :-The congruence conditions for two ∆s are :-
1) SAS ( Side Angle Side )
→ Two triangles are said to be congruent by SAS if two respective sides of the two triangles and the included angle between two sides are equal.
2) AAS ( Angle Angle Side )
→ Two triangles are said to be congruent by AAS if two angles and one side of triangle is congruent to other two angles and one side of the triangle .
3) SSS ( Side Side Side )
→ Two triangles are said to be congruent by SAS if all the three sides of one triangle is equal to three sides of the other triangle.
4) RHS ( Right Hypotenuse Side )
→ In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent.
Choose the answer that shows 5–15 rewritten using a positive exponent.
Answer:
The required answer is [tex]\dfrac{1}{5^{15}}[/tex].
Step-by-step explanation:
Consider the provided exponent.
The given exponent is [tex]5^{-15}[/tex].
We need to write it using a positive exponent.
So, use the property: [tex]a^{-m}=\dfrac{1}{a^m}[/tex]
By using the above property we can rewrite the given exponent as:
[tex]5^{-15}=\dfrac{1}{5^{15}}[/tex]
Hence, the required answer is [tex]\dfrac{1}{5^{15}}[/tex].
8416 + 0.28 + 1.489
What’s the answer?
Answer:
8,417.769
8416 + 0.28 is just adding 28 at the end so 8416.28
now 8416.28 + 1.489 is 8,417.769
the awnser is 8,417.769
Step-by-step explanation:
Answer:
The answer is 8417.769
can someone pls help!!
i need this in in 5 minutes!
Answer:
48x²
Step-by-step explanation:
Area of rectangle=(a×b)
=8x×6x
=48x²
11. Solve the linear inequality.
- 17x + 2 < - 10x - 19
a. x > - 3
b. x < - 3
c. x > - 1
d. x < 3
e. x > 3
Answer:
Your answer is E
Step-by-step explanation:
Here you go mate
Step 1
-17x+2<-10x-19 Equation/Question
Step 2
-17x+2<-10x-19 Simplify
-7x<-21
Step 3
−7x<−21 Use 7 to divide
answer
So therefore x>3
Select the equation that is true.
6,714 ÷ 103 = 6.714
6,714 ÷ 103 = 67.14
6,714 ÷ 103 = 671.4
6,714 ÷ 103 = 6,714
Answer: None of the choices is correct.
6,714÷103 is about 65.184
Step-by-step explanation:
The closest answer is the second choice. But there must be a typo in the question.
6,714÷100 = 67.14
I hope this helps. You might be able to ask your teacher about the mistake in the question.
x/10 = 150
what is x
Answer:
[tex]x = 1500[/tex]
Step-by-step explanation:
[tex] \frac{x}{10} = 150[/tex]
Move 10 to multiply 150.
[tex]x = 150 \times 10 \\ x = 1500[/tex]
Answer Check
Substitute x = 1500 in the equation.
[tex] \frac{1500}{10} = 150 \\ 150 = 150[/tex]
The equation is true for x = 1500.
Therefore, the answer is x = 1500
What is the equation of the line? Identify the values of A, B, and C in the standard form of the equation.
Answer:
Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Which object has volume?
a bottle of orange paint
a soccer pitch
a playing card
a stop sign
Answer:
All of them but the biggest is soccer pitch
Step-by-step explanation:
Volume is how much something takes up of space.
In a class of 22 students, 5 have a brother and 13 have a sister. There are 2 students
who have a brother and a sister. What is the probability that a student who has a
brother also has a sister?
Answer:2
Step-by-step explanation:
Answer:
2/5 or 0.4
Step-by-step explanation:
"in the table below, Identify the figure,find it's perimeter, and find it's area.". <- that's the question
Answer:
✔️Quarter circle
✔️Area = 38.5 cm² (nearest tenth)
✔️Perimeter = 25.0 cm (nearest tenth)
Step-by-step explanation:
✔️The figure given is a ¼ circle
Radius is given as = 7 cm
✔️Area = ¼(πr²)
Plug in the value of r
Area = ¼(π*7²)
Area = ¼(π*49)
Area = 38.5 cm² (nearest tenth)
✔️Perimeter = ¼(2πr) + 2r
Plug in the value of r
Perimeter = ¼(2*π*7) + 2(7)
Perimeter = ¼(14π) + 14
Perimeter = 25.0 cm (nearest tenth)
help me plz i need to do this
Raelynn and Kiara are both getting their nails done today. Raelynn gets her nails done every 9 days. Kiara gets her nails done every 12 days. In how many days will they be at the nail salon on the same day again?
Answer: The answer is 4 /3 .
You need to make the numbers 12 and 9 into a fraction like this 12 /9 and go to a calculator on a website that is not blocked and enter 12 /9 . the calculator on the website will show the answer of the problem . If you working this problem , the answer is 4 /3 . you need put the fraction first before will answer appears . thank you for asking for question .
The ratio of boys to girls in Ms. Reedus's classroom is 2 to 3. There are 18 girls in the classroom. What is the total number of students in Ms. Reedus's class?
Answer: The final answer is 30.
Step-by-step explanation: The question says the ratio is 2 boys : 3 girls. There are 18 girls. Well, how did you get from 3 to 18? You multiply by 6. But whatever you do to the denominator you have to do with the numerator. So, multiply 2 and 6. That gives you 12 boys and 18 girls. Adding 12 and 18 gives you 30. Therefore, there are 30 students in the whole class.
The heights of a group of boys and girls at a local middle school are shown on the dot plots below.
2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60.
When comparing the shapes of the two sets of data, what conclusion can someone draw?
The shortest boy is taller than the shortest girl.
The range for the girls is greater than the range for the boys.
There is an outlier in the data for the boys, but not for the girls.
The girls are generally taller than the boys.
PLEASE HELP ME 30 POINTS
Answer:
There is an outliner in the data for the boys, but no the for the girls
Step-by-step explanation:
Answer:
the answer is ''the girls are generally taller than the boys''
Step-by-step explanation:
HELP! I will mark BRAINLIEST please!
Answer: A
Step-by-step explanation:
In this equation, the largest exponent is odd, so the two ends are going in different directions. Since the leading coefficient is positive, the left side is going down, while the right side is going up.
As y approaches negative infinity (goes down), x approaches negative infinity (goes left).
Simplified: as the y value decreases, the x value decreases.
As y approaches infinity (goes up), x approaches infinity (goes right).
Simplified: as the y value increases, the x value increases.
plz plz plz plz help
Answer:
1 milimeter
Step-by-step explanation:
the rest you can see easily by naked eye
Answer:
D
Step-by-step explanation:
1 millimeter cuz its a microscope u use it to see deep into stuff.
Give brainliest
Just look at the picture
Answer:
(-4)^2= 16 -4^2= -16
Step-by-step explanation:
Which equation represents a proportional relationship?
1. Y=x+3
2. Y=x-9
3. Y=7x
4. Y=4x+1
FRQ 2
At a particular coffee shop, 92% of customers order a beverage, 3% of customers order food alone (order food and not a beverage), and 12% of customers order food and a beverage. Suppose we randomly select a customer. Let B = the customer orders a beverage and F = the customer orders food.
a) What is P(F)? Interpret this value in context.
b) What is the probability that the customer orders food given that they order a beverage? Write this event in symbolic form and find the probability.
c) If 180 customers are randomly selected, how many of them can we expect to order neither food nor a beverage? Justify your response.
Answer:
a) P(F) = 0.15
b) P(F/B) = 0.13
c) 5% customers order neither food not beverage.
Further explanation is in the explanation section
Step-by-step explanation:
Solution:
Data given:
B = The customer orders a beverage
F = The customer orders food.
F + B = The customers order food and a beverage.
Percentage share:
F = 3%
B = 92%
F + B = 12%
a)
So, the Probability of B, the customer orders a beverage will be:
P(B) = 92% = 0.92
Probability of (F+B), the customers orders food and beverage will be:
P(F ∩ B) = 12% = 0.12
And we know that, 3% customers order food alone so,
P(F) - P(F ∩ B) = 3% = 0.03
So,
P(F) = (P(F) - P(F ∩ B)) + P(F ∩ B)
P(F) = 0.03 + 0.12
P(F) = 0.15
It means that 15% customer order food only.
b) Probability that the customer orders food given that they order a beverage.
P(F/B) = (Probability that the customer orders food given that they order a beverage.)
P(F/B) = P(F∩B)/P(B)
P(F/B) = 0.12/0.92 = 0.13
P(F/B) = 0.13
Symbolic form of the required probability is = P(F/B)
c) If 180 customers are randomly selected, how many of them can we expect to order neither food nor a beverage?
Probability of ordering food and beverage will be:
P(F U B)
So,
Probability of ordering neither food nor beverage will be = 1 - P(F U B)
And,
P(F U B) = P(F) + P(B) - P(F ∩B)
P(FUB) = 0.15 + 0.92 - 0.12
P(FUB) = 0.95
Probability of ordering neither food nor beverage will be = 1 - P(F U B)
Probability of ordering neither food nor beverage will be = 1 - 0.95
Probability of ordering neither food nor beverage will be = 0.05
Hence, 5% customers order neither food not beverage.
So, we have selected 180 random people so, 5% of 180 =
number of people order neither food nor beverage = 5/100 x 180
number of people order neither food nor beverage = 9 people
It means we can expect out of 180 people, 9 people will not order food or beverage.
What is the Estimate of 469.4 ÷ 62?
The value of the given division 469.4 ÷ 62 will be 7.57.
What is the arithmetic operation?In mathematics, the arithmetic operation has four main operators such as addition, subtraction, multiplication, and division.
The symbol of + represents addition.
The symbol of - represents subtraction
The symbol of × represents multiplication
The symbol of ÷ represents division.
Given the division,
469.4 ÷ 62
⇒ 7.570967742
Rounded to the nearest tenth decimal place
⇒7.57
Hence "The resultant of the 469.4 ÷ 62 is 7.57 ".
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(10 POINTS) Given the following formula, Solve for a.
S= a+b+c/2
A. A= s- b+c/2
B. A= 2s - b + c
C. A= 2s - b - c
D. A = s - b-c/2
Answer:
C. a = 2s - b - c
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
[tex]\displaystyle s = \frac{a + b + c}{2}[/tex]
Step 2: Solve for a
Multiply 2 on both sides: [tex]\displaystyle 2s = a + b + c[/tex]Subtract b on both sides: [tex]\displaystyle 2s - b= a + c[/tex]Subtract c on both sides: [tex]\displaystyle 2s - b - c = a[/tex]Rewrite: [tex]\displaystyle a = 2s - b - c[/tex]need help please please
Answer:
Insert the equations into desmos and then it will show you the lines.
Step-by-step explanation:
If not then use this as help:
y=-1 is a horizontal line passing through y coordinate -1x= 6 is a vertical line passing through x coordinate 6x=-3 is a vertical line passing through x coordinate -3y=4 is a horizontal line passing through y coordinate 4What is the largest number that is a factor of both 12 and 20?
Write these fractions in their simplest forms:
a)
15
20
8
b)
12
Answer:
a) 3/4
b)4/6 = 2/3
hope this helps u
pls mark me as brainiest :)