Answer:
The fifth term is the middle term of nine, with coefficient given by all the ways of choosing 4 items out of 8 , namely the ways of choosing 4 a 's out of 8 binomial factors.
Step-by-step explanation:
The third term of the expansion is 56a⁵b³
How to determine the third term?The expression is given as:
(a + b)^8
The above expression is a binomial expression, and the nth term of the expression is:
(a + b)^n = nCr * a^(n - k) * (b)^k
Where k = 0, 1, 2.....
So,we have:
(a + b)⁸ = ⁸C₃ * a⁸⁻³ * b³
Evaluate the combination expression
(a + b)⁸ = 56a⁵b³
Hence, the third term of the expansion is 56a⁵b³
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the diagram shows a parallelogram. work out the value of x
Answer:
x = 39
Step-by-step explanation:
The opposite angles of a parallelogram are congruent, so
3x - 15 = 2x + 24 ( subtract 2x from both sides )
x - 15 = 24 ( add 15 to both sides )
x = 39
The value of x from the parallelogram is given by the equation x = 39°
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
Now , the total internal angle of a parallelogram is 360°
Now , the equation will be
∠A + ∠B + ∠C + ∠D = 360°
Substituting the values in the equation , we get
3x - 15 + 2x + 2x + 2x + 24 = 360° be equation (1)
On simplifying the equation , we get
9x + 9 = 360
Subtracting 9 on both sides of the equation , we get
9x = 351
Divide by 9 on both sides of the equation , we get
x = 39°
Therefore , the value of x is 39°
Hence , the equation is x = 39°
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What is 35% of 500?
Help please
Answer:
175
Step-by-step explanation:
500 times 35/100
simplify
Answer:
175
Step-by-step explanation:
Identify the domain and range of each function. y = 4^x-5 + 3
Answer:
(- infinity, infinity), (x | x € R)
(-2, infinity), {y | y > -2)
Step-by-step explanation:
I think that's right not sure though
Solve for p.
2p + 1=1
5p + 6=7
Answer:
-1/9
Step-by-step explanation:
We need to solve out and find out the value of p . The given equations is.
=> 2p + 1/ 5p + 6 = 1/7
=> 7 ( 2p + 1) = 5p + 6
=> 14p + 7 = 5p + 6
=> 14p - 5p = 6-7
=> 9p = -1
=> p = -1/9
• Hence the value of p is -1/9
If ABCD is dilated by a factor of 2, the
coordinate of B' would be:
B' ([?],[?])
PLEASE HELP I WILL MARK BRAINLIEST!!
Answer:
I believe its (- 2, 2 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply the coordinates of B by the scale factor 2, that is
B(- 1, 1 ) → B'(2(- 1), 2(1) ) → B'(- 2, 2 )
Set up the equation and solve.
5) 700 reduced by 4 times Mia's age is 500. How old is Mia?
Answer:
50
Step-by-step explanation:
the equation is 700-4x=500
i need an answer...............................
Answer:
8 i think
Step-by-step explanation:
find the area and circumference of each figure below. use 3.14 for pi. if needed, round your answer's to the nearest 100ths place.
Answer:
[tex]a \\ area = 10 \times 10 \times 3.14 = 314 \\ circumference = 2 \times 10 \times 3.14 = 62.8 \\ \\ b \\ \: area = 6 \times 6 \times 3.14 = 113.04\\ circumference = 2 \times \times 6 \times 3.14 = 37.68[/tex]
A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform. How long is the zip line? help grifjin
Answer:
Solution given:
perpendicular distance =height [p]=40m
base or horizontal distance [b]=198m
Hypotenuse or zip line [h]=?
Now
By using Pythagoras law
h²=p²+b²
h²=40²+198²
h=√40804
h=202m
So the Zip line is 202m long.
Renita's school is 2 miles from her house. She plans to leave 30 minutes before school and hopes to make it on time. How long will it take Renita to ride to school?
Answering is 20:
Step-by-step explanation:
Because it takes her 5 min for a half of mile so add it up and you get 20
Pls help i know this should be easy but pls help i only have 1 point left after posting this
Answer:
I think it will be
1. integer
2. whole
3. rational
4. rational
I'm not sure but I think this is correct
Step-by-step explanation:
What is the value of x if 4x - 2 < 26?
Answer:
4x<28
x<7
x;(-infinite,7)
Write the equivalent expression for 3a + 12 using the greatest common factor (for example: for expression 4a + 16, the equivalent expression using the greatest common factor would be 4(a + 4) ).
Answer:
3(a+4)
Step-by-step explanation:
HELP ME HELP ME HELP KE HELP ME PLEASEEEEEE I NEED HELP PLZ PLZ PLZ
Answer:
1/3
Step-by-step explanation:
solve for x in the equation
Answer:
x = 12
Step-by-step explanation:
This is a supplementary angle so the right side is equal to 90°. This means the other side must also equal 90°
So subtract 20° from 90° and you get 70°
Next you can just (6(12)-2) or continuously substitute until you get the right answer.
find the value of x. round your answer to the nearest tenth.
What is the solution to the equation? a+5 2/3=9
1. a+5 2/3=9
a+5 2/3+5 2/3=9-5 2/3
a=3 1/3
2. a+5 2/3=9
a+5 2/3+5 2/3+=9+5 2/3
a=14 2/3
3. a+5 2/3=9
a+5 2/3-5 2/3=9+5 2/3
a=14 2/3
4. a+5 2/3=9
a+5 2/3-5 2/3=9-5 2/3
a=3 1/3
Answer: 1-a=31/3
Step-by-step
Step-by-step explanation:
I asked my math teacher, we did the problem together, and I belive this other guy is also right.
There are 2 yellow marbles and 11 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a yellow marble? Write your answer as a fraction in simplest form. The probability of choosing a yellow marble is
You have a jar of 20 jellybeans, and 4 are red. Which fraction represents the probability that you will pick a red jellybean out of the jar?
A) 4/20
B) 16/20
C) 20/4
D) 20/16
Answer:
A
Step-by-step explanation:
A probability as a fraction has a value between 0 and 1. That lets out C and D.
B is the answer to a probability of not red, so B is not correct.
The answer is A
Judy and 2 friends won $145.00 at a fundraising raffle! They agreed to share the winnings equally. They received one $100 bill, four $10 bills, and five $1 bills
Answer:
There are 3 friends (Judy + 2 friends) who won $145.00
They want to share the winnings equally, but they got:
one $100 bill
four $10 bills
five $1 bills.
Assuming that they can share only those bills, the only way to share the winnings equally is:
Each friend gets one $10 bill
Each friend gets one $1 bill
Then each one gets $11.
And there is a surplus of:
one $100 bill (that can't be divided)
one $10 bill (that can't be divided)
two $1 bill (that can't be divided)
Then:
There is a common pool of $100 + $10 + 2*$1 = $112
And each one of the 3 friends gets $10 + $1 = $11
In the case where they can change the bills, each friend will get:
$145/3 = $48.33
SUPER EASY BUT I NEED HELP PLEASSEEEEE
Answer:
9 x 5 x 2 = 9 x 10
Step-by-step explanation:
Since 5 x 2 is 10, 9 x 10 is the same thing as 9 x 5 x 2.
Answer: 10
Step-by-step explanation: 9 times 5 times 2 is 90, and 90 divided by 9 is ten.
Two similar flagpoles are on either side of a park. The taller of the two flagpoles is 40 feet tall and casts a 32 foot shadow. If the
smaller of the two flagpoles casts a 20 foot shadow, how tall is it
Answer:
28 feet tall
Step-by-step explanation:
another easy math no scam links
Answer:
Step-by-step explanation:
x = 8
Select the correct answer from each drop-down menu.
The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.
Answer:
Graph A ,appears to decrease less
Step-by-step explanation:
In the word problem it asked us which graph seem to have "Slight Decrease"means if obeserve the graph it shows graph A.
Alex should use Graph A for the presentation as it shows the number of faulty products as a decrease on the graph
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let graph A shows the product quality with number of faulty products over the period of months
And , let graph B shows the product quality with number of faulty products over the period of months
Now , the line is decreasing in a steady manner in graph A as the number of faulty products is decreasing at a nominal rate
Hence , graph A is best for presentation
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broccoil cost 3.14$ a pound at the market if mary bought 2.5 pounds what was the cost
please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
90 degrees
Step-by-step explanation:
HELLLPPPPPPPPP PLEASEEEEEEE PLEASEEEE SOMEONE HELPPPPP
A) x = 15
steps:
90 = 5x + 15
-15 -15
75 = 5x
÷5 ÷5
15 = x
explanation:
< P is 90°
so you have the equation of < P equal 90 to find the x
B) < RQP = 33
steps:
2x + 3
2(15) + 3
30 + 3
33
explanation:
now that you know what x equals you just plug in 15 for the x and solve

“Find the trig function and simplify if you can”
Answer:
[tex]\sqrt{10}[/tex]/10
Step-by-step explanation:
cos is adjacent side/hypotenuse
you need to find the hypotenuse
Let h = length of hypotenuse
[tex]6^{2} + 18^{2} = h^{2}[/tex]
[tex]h^{2}[/tex] = 36 + 324 = 360
h = [tex]\sqrt{360}[/tex] = 6[tex]\sqrt{10}[/tex]
cos (theta) = 6/6[tex]\sqrt{10}[/tex] = 1/[tex]\sqrt{10}[/tex] = [tex]\sqrt{10}[/tex]/10
Write an equation to express the amount of time in minutes, x, it would take to travel 1800 feet, if you are traveling 352 feet per minute.
Answer: 352(x)=1800
Step-by-step explanation:
Help me please i will mark brainliest
Answer:
The answer is 1/5
Step-by-step explanation:
The answer is 1/5