9514 1404 393
Answer:
70
Step-by-step explanation:
If we consider the terms to have decreasing powers of x, then the middle term is the one with x^4y^4 as its variables. The full value of that term is ...
(8C4)(2x)^4(3y)^4 = 70(6xy)^4
Substituting for x and y, this is ...
70(6(1/3)(1/2))^4 = 70(1^4) = 70
The middle term is 70 when (x, y) = (1/3, 1/2).
_____
The value of nCk is n!/(k!(n-k)!). Then 8C4 is 8!/(4!)^2 = (8·7·6·5)/(4·3·2·1) = 70.
(25x3) + (10x3) is my question i dont know the answer
Answer:
75+30=105....................
Solve if x measure of AOC = 7x-2 measure of AOB = 2x+8 measure of BOC = 3x+14.
Answer:
x=3[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
im assuming this a triangle if so all angles add up to 180 so combine all equations and make it so it equals 180
7x-2+2x+8+3x+14=180
Combine Like Terms: 12x+20=180
12x+20-20=180-20
12x=160
12x/12=160/12
x=13[tex]\frac{1}{3}[/tex]
An x measure of AOC = 7x-2 measure of AOB = 2x+8 measure of BOC = 3x+14 value of x is 28.33.
A three angles, AOC, AOB, and BOC, and you're given their measures in terms of x. The problem is likely asking you to find the value of x. Since these angles are in a circle, they must add up to 360 degrees.
The sum of the measures of the angles around a point is 360 degrees:
Angle AOC + Angle AOB + Angle BOC = 360
Substitute the given expressions for the angle measures:
(7x - 2) + (2x + 8) + (3x + 14) = 360
Combine like terms:
12x + 20 = 360
Now, subtract 20 from both sides:
12x = 340
Finally, divide by 12:
x = 340 / 12
x = 28.33
To know more about value here
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Which fraction is equivalent to -7/8
1. 8/-7
2. -7/-8
3. 8/7
4. 7/-8
Answer:
Your answer is answer no 4 = 7/-8
Answer:
4.
Step-by-step explanation:
7/-8
-7/8 is between -1 and 0.
So, we can eliminate 1 and 3.
We can also get rid of 2 because -7/-8 = 7/8, which is positive.
We are left with 4.
Akilometer is approximately 1094 yards . Toby runs a 6 km race. About how many yards does he run?
Find the distance between the points. Give an exact answer and an approximation to three decimal places.
(-7,9) and (-2,4)
(b) In the figure alongside, AB I BC and a - b= 10° then find the values of a and b.
Same side interiors(vertical) have sum 180°
a+b=180--(2)From both equations
2a=190a=95And
a-b=10b=95-10b=85I need help question:how many questions would you need to get correct on a test that has 30 questions to get at least 70% correct?
Answer:
25
Step-by-step explanation:
Answer:
21 answers.
Step-by-step explanation:
First, change the percentage into a decimal point. Move the decimal point to the left two place values and drop the percentage sign:
70% = 70/100 = 0.70
Next, multiply 0.70 with the total amount of questions (30):
30 x 0.70 = 21
21 answers must be correct.
Check:
Divide 21 with 30:
21/30 = 0.70 = 70%
~
Write the range of the function given in the graph in interval notation.
9514 1404 393
Answer:
(-4, 8]
Step-by-step explanation:
The vertical extent of the graph is ...
-4 < y ≤ 8
In interval notation, the range is (-4, 8].
__
Additional comment
There is a horizontal break (in the domain) at y=3, but no vertical break there. Hence the range is continuous through that region.
Is 3.6 a natural/counting
Number
Answer:
It’s a rational number
Step-by-step explanation:
Find the final amount of money in an account if $1,700 is deposited at 5.5 % interest compounded
quarterly (every 3 months) and the money is left for 8 years.
The final amount is $
Round answer to 2 decimal places
Answer:
74800 is the amount of $1700 at the rate of 5.5 for 8 yrs
There are 35 boys in band and 49 girls in band Ryan says the boys to girls is 5 to 7 is he correct or incorrect show how he is correct or incorrect
Answer:
He is correct.
Step-by-step explanation:
[tex]\frac{35}{49} =\frac{5}{7}[/tex]
how to complete this question?
Answer:
f(x) = [tex]-2^{x+1}-1[/tex]
Step-by-step explanation:
I. If you see (0, -3) point on the green line
II. Perform x = 0, if y = -3 means the statement is true
= [tex]-2^{0+1} - 1[/tex]
= [tex]-2^{1}[/tex] - 1
= -2 - 1
y = -3
Got more question or somethin to discuss? Leave comment below
4 2/3 - (1 4/5). PLEASE HELP MEEEEE
Answer: 2 13/ 15
Step-by-step explanation:
Simplify show step by step 30 POINTS!
Step-by-step explanation:
hopefully it makes sense and is visible
:)
When I triple my number and add three and then subtract double my number and add one I get nine what is my number
Answer:
i belive if not mistaken 6
Step-by-step explanatio
Answer and Step-by-step explanation:
I will replicate what you said into an algebraic equation.
Your number will be represented as x.
(3x + 3) - (2x + 1) = 9
Distribute the negative.
3x + 3 - 2x - 1 = 9
Combine like terms.
x + 2 = 9
Subtract both sides of the equation by 2.
x = 7
Your number is 7.
Checking my answer:
(3(7) + 3) - (2(7) + 3) = 9
(21 + 3) - (14 + 3) = 9
24 - 17 = 9
9 = 9 ✓
So, your number is 7.
#teamtrees #PAW (Plant And Water)
I hope this helps!
I have to calculate the lengths of all the triangles sides using pythagoras theorem
Answer:
√62 = 8
y = 8
√225 = 15
z = 15
Pythagoras theorem
a^2 + b^2 = c^2
in this case...
y^2 + z^2 = x^2
8^2 + 15^2 = √289
8^2 + 15^2 = 17
x= 17
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 540 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be?
10 inches
9 inches
6 inches
3 inches
Answer:
C
Step-by-step explanation:
The volume of a box (rectangular prism) is given by:
[tex]\displaystyle V = \ell wh[/tex]
We are given that the desired volume is 540 cubic inches. The width is three inches longer than the length and the height is four inches longer than the length. Substitute:
[tex]\displaystyle (540) = \ell(\ell + 3)(\ell + 4)[/tex]
Solve for the length. Expand:
[tex]\displaystyle \begin{aligned} 540 &= \ell (\ell^2 + 7\ell +12) \\ 540&= \ell ^3 + 7\ell^2 +12\ell \\ \ell^3 + 7\ell ^2 +12\ell -540 &= 0\end{aligned}[/tex]
We cannot solve by grouping, so we can consider using the Rational Root Theorem. Our possible roots are:
±1, ±2, ±3, ±4, ±5, ±6, ±9, ±10, ±12, ±15, ±18, ±20, ±27, ±30, ±36, ±45, ±54, ±60, ±90, ±108, ±135, ±180, ±270, and/or ±540.
(If you are allowed a graphing calculator, this is not necessary.)
Testing values, we see that:
[tex]\displaystyle (6)^3 +7(6)^2 + 12(6) -540 \stackrel{\checkmark}{=} 0[/tex]
Hence, one factor is (x - 6).
By synthetic division (shown below), we can see that:
[tex]\displaystyle \ell^3 + 7\ell^2 +12\ell -540 =(\ell -6)(\ell ^2 + 13\ell +90)[/tex]
The second factor has no real solutions. Hence, our only solution is that l = 6.
In conclusion, our answer is C.
Answer:
6 inches
Step-by-step explanation:
I just took the test
what is 13 x 12 feet converted is how many inches?
What element in the domain has image 7 in the function f(x) = x²– 2?
a. 3 b) 9 c) -1 d) 4
Answer:
[tex]f(x) = 7 \\ f(x) = {x}^{2} - 2 \\ {x}^{2} - 2 = 7 \\ {x}^{2} = 2 + 7 \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ \boxed{x = 3}[/tex]
Therefore, 3 is the element in the domain which has the image 7 in function f(x)=x²-2
A. 3 is the right answer.age at BBM 2019 Question Group 'A Brief answer questions; 1. Integrate the following: S(ax? + 2bx + c)3/2(2xa + 2b) dx 2.
If the integral is
[tex]\displaystyle \int (ax^2+2bx+c)^{3/2}(2ax+2b)\,\mathrm dx[/tex]
substitute [tex]u = ax^2+2bx+c[/tex] and [tex]\mathrm du=(2ax+2b)\,\mathrm dx[/tex]. Then you end up with
[tex]\displaystyle \int u^{3/2}\,\mathrm du = \frac25u^{5/2} + C[/tex]
which in terms of x is
[tex]\boxed{\dfrac25(ax^2+2bx+c)^{5/2} + C}[/tex]
What is the sum of two comsecutive integers
Answer:
The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.
If f(x) = x and g(x) = 2, what is (fºg)(x)?
Step-by-step explanation:
(fog)(x) = f[g(x)]
f(g(x))
f(x-2)
since f(x) = 1 / x
answer: 1/x-2
1/x-2 looks like 1/x but the asymptotes(dips in the graphs) will be at x = 2 since is undefined
Is (6,0) a solution of 5x-y=9?
Answer:
No
Step-by-step explanation:
5(6)-(0)≠95(6)-(0)=30Select the correct answer.
Based on these segment lengths, which group of segments cannot form a triangle?
OA 12,7,8
OB. 8, 7, 13
OC. 1,2,3
OD. 80,140, 70
Reset
Next
2021 EdimentumAll rights
Answer:
C
Step-by-step explanation:
If you add up the length of two sides, the sum must be greater than the third side of the triangle.
If you add 1 and 2, it equals 3
But that means it will be equal to the length of the third side, 3
It will be impossible to make a triangle with those lengths of sides no matter how the sides or angles are set.
It's sort of difficult to explain this without any visual
You can look up "triangle inequality" to find out more about this
What Is a constant or the product of a constant and one or more variables
Answer:
A constant or the product of a constant and one or more variables is called a coefficient.
Hope it helps you.This year Amanda watched 80 movies. She thought that 56 of them were very good. Of the movies she watched, what percentage did she rate as very good?
Find the value of x for which ABCD must be a parallelogram.
Answer:
ans is 7
Step-by-step explanation:
as we know that angle B and C are equal cause it is an alternative angle so
3x-17=25-3x
so 3x+3x=25+17
6x=42
x=7
Answer:
7
Step-by-step explanation:
The value of x only makes the figure a llgm because the question says so. It needs one more fact to be a llgm.
That said, you are 1/3 the way there. Those angles marked must be equal.
3x - 17 = 25 - 3x Add 3x to both side
3x + 3x - 17 = 25 Combine
6x - 17 = 25 Add 17 to both sides
6x = 25 + 17 Combine
6x = 42 Divide by 6
6x /6 = 42/6
x = 7
Find the sum of the even numbers from 1 to 300
a) 14,280
b) 22,650
c) 16,100
d) 15,460
Answer:
The answer is 22,650
So, option b for you
Step-by-step explanation:
To find the sum of even numbers from 2 to 300, the formula we use is,
N ( N + 1 )
Where N is given by,
N = [( first number + last number)/2] - 1
So here, N = [ (2 + 300 ) / 2 ] - 1 = 150
And hence Sum = 150 * 151 = 22650
1. Which is an example of an algebraic expression?
Answer:
3-a
Step-by-step explanation:
it involves variables like x, y, z
in this case a
What value of x makes the equation 3(x-6) – 8x = -2 + 5(2x + 1) true? Show your work.
9514 1404 393
Answer:
x = -1.4
Step-by-step explanation:
3(x-6) -8x = -2 + 5(2x + 1)
3x -18 -8x = -2 +10x +5 . . . . . . . eliminate parentheses
-21 = 15x . . . . . . . . . . . . . . add 5x -3 and collect terms
x = -21/15 = -7/5
x = -1.4
__
Check
3(-1.4 -6) -8(-1.4) = -2 +5(2(-1.4) +1) . . . substitute for x
3(-7.4) +11.2 = -2 +5(-2.8 +1)
-22.2 +11.2 = -2 +5(-1.8)
-11 = -2 -9 . . . . . true