Answer:
Here is what i got x^2+6x^5+15x^4+6x+1
Step-by-step explanation:
^ that mark is for exponents btw. For anyone that is new to this
The Binomial Expansion of [tex](x+ 1)^6[/tex] is [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex].
What is Binomial Expansion?An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.
Given:
We have to expand [tex](x+ 1)^6[/tex]
We know the general form of Binomial Expansion
(x + y[tex])^n[/tex] = C(n, 0) [tex]x^ny^0[/tex] + C(n, 1) [tex]x^{n-1}y^1[/tex] +.........+ C(n, n) [tex]x^0y^n[/tex]
Here n= 6
So, the expansion of [tex](x+ 1)^6[/tex] is
= C(6, 0) [tex]x^6y^0[/tex] + C(6, 1)[tex]x^5y^1[/tex] + C(6, 2) [tex]x^4y^2[/tex] + C(6, 3) x³y³ + C(6, 4) x²[tex]y^4[/tex] +
C(6, 5) x[tex]y^6[/tex] + C(6, 6) [tex]x^0y^6[/tex]
= [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex]
Learn more about Binomial Expansion here:
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On the Celsius scale, what does O represent?
a. the theoretical coldest possible temperature
b. an arbitrary number based on its inventor's freezer
c. the freezing point of water
d. the natural temperature of brine
Answer:
The answer is C.
Step-by-step explanation:
I just took the test on edg.
Answer:
c. freezing point of water
Step-by-step explanation:
did on edge 2021
The expression 52,260 + 2Sh represents the annual salary for a graphic artist. This includes the base salary and $25 per hour for work on special projects, where h = number of hours. If the artist spends 160 hours on special projects throughout the year, how much in total will the artist earn? $55,260 548, 260 $8,365,000 $56, 260
Answer:
56,260
Step-by-step explanation:
plug in h = 160 into the equation:
52,260 + 25h --> 52,260 + 25 * 160 = 52,260 + 4000 = 56,260.
The artist will earn in total $56, 260.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
The given expression that represents the annual salary for a graphic artist is,
52,260 + 25h
where, h = number of hours
Now If the artist spends 160 hours on special projects throughout the year, put h = 160 in the given expression,
52,260 + 25h = 52,260 + 25*160
or, 52,260 + 25h = 52,260 + 4000
or, 52,260 + 25h = 56,260
which is the required amount an artist will earn in an year.
Thus, the artist will earn in total $56, 260.
The correct expression in the question is,
52,260 + 25h
To learn more about expression:
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What’s the net?
A-cylinder
B-cone
Answer:
A-Cylinder
Step-by-step explanation:
Because when folded back to its original state the circles at the top and bottom act as bottoms of a Cylinder.
Answer:
cylinder which means it's A
What is a unique fraction whose decimal form repeats? ( give a fraction that decimal repeats)
round the repeating decimal to the ten thousandths place
Answer:
1/9 0.1111
Step-by-step explanation:
1/9 = 0.11111111111....
needdddd help pls ill mark brainlist
Step-by-step explanation:
correct answer 2) y> 3x+2
Scott takes a walk around the block. How far did he walk?
240 m
200 m
100 m
120 m
Which expression is equivalent to LaTeX: \left(7x^3\right)^2\left(x^8\right)^{^{\frac{1}{2}}}\:( 7 x 3 ) 2 ( x 8 ) 1 2?
A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 7 red marbles, 2 green marbles and 11 blue marbles. Predict how many green marbles are in the bag.
Answer:
80
Step-by-step explanation:
If the bag has 100 marbles and 7+2+11=20 then you subtract what you got adding the quantities you already know from the total, and you have your answer :D
need help on geometry question
Step-by-step explanation:
sin 65=p/h
0.906=4/x
0.906x=4
x=4/0.906
x=4.41
hope it helps.
Answer:
x=9.46
Step-by-step explanation:
a = b·sin(A)/sin(B) = 9.46481
11 times the sum of 8 and 14, divided by 5
Answer:
See below, please!
Step-by-step explanation:
[tex]\frac{11(8+14)}{5}[/tex]. Use PEMDAS. Sum of 8 and 14 is 22, multiply that by 11, and then divide by 5. Your answer is 48.4.
Hope this helped!
There is an ice cream cake in the freezer. On Monday, the family eats 1/2 of
the cake. On Wednesday, they eat 1/4 of the cake. How much did the family
eat altogether?
Answer: 2/4
Step-by-step explanation: Easy 2 + 2 = 4
Suppose that the relation H is defined as follows.
H={(-5,0), (4,3), (-8,3)}
Give the domain and range of H.
Write your answers using set notation.
domain
=
range =
I
?
Answer:
[tex]Domain:= \{-5,4,-8\}[/tex]
[tex]Range:=\{0,3\}[/tex]
Step-by-step explanation:
Given
[tex]H = \{(-5,0),(4,3),(-8,3)\}[/tex]
Required
The domain and the range
A function represented as:
[tex]Function = \{(x_1,y_1),(x_2,y_2)......(x_n,y_n)\}[/tex]
Where:
[tex]Domain=x_1,x_2,....,x_n[/tex]
[tex]Range=y_1,y_2,....,y_n[/tex]
So:
[tex]H = \{(-5,0),(4,3),(-8,3)\}[/tex]
[tex]Domain:= \{-5,4,-8\}[/tex]
[tex]Range:=\{0,3\}[/tex]
A factory wants to redesign a box that will hold twice as many unit cubes add a box that measures 2 by 3 by 4 unit cubes.What are the dimensions of the redesigned box?
finding the volume of cube is equal to 2 × 3 × 4
so
v of cubes is 24
now
twice of it is 2 ×24
48
find the value of x
thanks!
Answer:
x=90
Step-by-step explanation:
a triangle that is made inside of a triangle makes a right angle. The angle that is opposite of the hypotenuse is the one that is a right angle
What is the correct answer?
Answer:
The point moves 3 units down and 3 units to the right
Step-by-step explanation:
I need help fast! The measures of the angles of a triangle are shown in the figure below. Solve for x.
Triangle Inequalities help please
Answer:
No, you can't
Step-by-step explanation:
Given
[tex]Side\ 1 =4[/tex]
[tex]Side\ 2 =9[/tex]
Required
Is a perimeter of 26 possible?
First, calculate the possible side 3
[tex]Side\ 3 = Perimeter - Side\ 1 - Side\ 2[/tex]
[tex]Side\ 3 = 26 - 4 - 9[/tex]
[tex]Side\ 3 = 13[/tex]
Triangle inequalities states that:
Sum of two sides > the third side
So:
[tex]4 + 9 > 13[/tex] --- False
[tex]13 + 9 > 4[/tex] --- True
[tex]4 + 13>9[/tex] ---- True
Since one of the inequalities is false, then a perimeter of 16 is not possible
Help now ____________[_
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a rough bead? Write the probability as a fraction in simplest form.
Answer:
i
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
26/52 simplifies to 1/2
A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test. Assume that the researcher’s claim is true. Suppose a driving test is given to a random sample of 90 high school seniors and a separate random sample of 85 high school freshmen. Let and be the sample proportions of seniors and freshmen, respectively, who pass the test. What are the shape and mean of the sampling distribution of ? skewed left with mean –0.35 skewed right with mean 0.625 exactly Normal with mean 0.35 approximately Normal with mean 0.35 approximately Normal with mean 0.625
Answer:
approximately Normal with mean 0.35
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test.
This means that [tex]p_1 = 0.8, p_2 = 0.45[/tex]
Subtraction of Variable 1 by Variable 2:
By the Central Limit Theorem, the shape will be approximately normal.
The mean is the subtraction of the means of each proportion. So
[tex]p = p_1 - p_2 = 0.8 - 0.45 = 0.35[/tex]
So the correct answer is given by:
approximately Normal with mean 0.35
Can someone help me? I’ll reward points + brainalist
Answer:
Step-by-step explanation:
[tex]C=\pi d\\ \\ \text{Since the diameter of II is 12 and diameter of I is 10, circle II has the greater circumference. B is the answer.}[/tex]
Point P is (1,2)
Point Q is (7,6)
Which of the following best represents the length of segment PQ?
David can type a 50-page paper in 8 hours. Last month, David and Andy together typed a
50-page paper in 6 hours. How long would Andy take to type a 50-page paper by himself?
Answer:
12.5pages
Step-by-step explanation:
50pages ×6hours=300 and then we divide by 8 to get 37.5(the number of pages printed by david in 6 hours)
subtract 37.5 from 50 to find the number of pages printed by andy
PLEASE HURRY! I WILL MARK BRAINLIEST!
The total profit function, P(x), for a company producing x thousand units is given by P(x)=−2x²+38x−120. Find the values of x for which the company makes a profit. [Hint: The company makes a profit when P(x)>0.] Explain and justify your answer.
Answer:
4 < x < 15.
Step-by-step explanation:
Solve -2x^2 + 38x -120 = 0 This gives x = 4 and x = 15. So the company makes a profit when the range of x is greater than 4 and less than 15. The graph of function is a flipped U which pass through x axis at 4 and x = 15. Above the x-axis is the area of profit.
hi please help!!! i’ll give you a brainless answer (question in picture)
Answer:
Oh easy here is the answer m=21
Answer for x.
1. 3x - 10 = -21
2. -22 - 4x = 12
Answer:
3x - 10 = -21
add 10 on both side
3x-10+10=-21+10
3x=-11
divide both side by 3
3x/3=-11/3
x=-11/3
Step-by-step explanation:
2. -22 - 4x = 12
add 22 on both side
-22+22-4x=12+22
-4x=36
divide both side by -4
-4x/-4=36/-4
c=-9 is your answer
Using the same triangle as above, provide a value for the measure of angle A. Use this value, along with the values you have provided in question 3, to calculate the length of side c and the measure of angle B. The value of A should be between 20 and 70 and cannot be the same as angle C.
Answer:
Step-by-step explanation:
Since the triangle is a right triangle, we know angle B is 90
Then, we know A and C have to make 90 to
so if A has to be between 20 and 70, we can pick 21
as long as A and C make 90, if A is 21, then C is 69
since 21 + 69 = 90
Since it's a right triangle, we can use pythagoran theorem to find c
a² + b² = c²
c = [tex]\sqrt{a^{2} + b^{2} }[/tex]
then you put in the numbers from question 3 (you didn't say what numbers those have to be) and you can find out whats c
Enter an
algebraic expression that represents the sum of fifty-seven and x cubed.
The answer is x³+57 or (x³+57)
Can you help me image is here which 2 Should I drag
Answer:
3 = 9
4 = 10
Step-by-step explanation:
Answer:
3,9
4,10
Step-by-step explanation:
Hey There
The equation is saying that f goes up by 1 when y s goes up by 1
so when s = 3 f = 9
when s = 4 f = 10
What is x, if f(x) = 3x - 4 and f(x)=19?
Answer: X=5
Step-by-step explanation:
Answer:
i dont know
Step-by-step explanation:
i dont know
