9514 1404 393
Answer:
2a(a^3 +a^3 b^2 +a b^2 +b^3)/(a^2 +b^2)
Step-by-step explanation:
Division is the same as multiplication by the inverse. Multiplication and division proceed left-to-right. So, we can rewrite the expression as ...
[tex]\dfrac{a^3+a^3b^2+ab^2+b^3}{2a(a-b)^2}\times\dfrac{a^2-b^2}{a+2b}\times\dfrac{a^2+ab-2b^2}{a+b}\times\dfrac{4a^2}{a^2+b^2}\\\\=\dfrac{(a^3+a^3b^2+ab^2+b^3)(a-b)(a+b)(a+2b)(a-b)(4a^2)}{2a(a-b)^2(a+2b)(a+b)(a^2+b^2)}\\\\=\dfrac{4a^2}{2a}\cdot\dfrac{(a-b)^2}{(a-b)^2}\cdot\dfrac{a+2b}{a+2b}\cdot\dfrac{a^3+a^3b^2+ab^2+b^3}{a^2+b^2}\\\\=\boxed{\dfrac{2a(a^3+a^3b^2+ab^2+b^3)}{a^2+b^2}}[/tex]
Suppose a normal distribution has a mean of 48 abd a standard deviation of 5. What is the probability that a data value is between 48 and 52?
Answer:
P(48<x<52) = 0.2881
Step-by-step explanation:
P(48<x<52) = normalcdf(lower,upper,µ,σ) = normalcdf(48,52,48,5) ≈ 0.2881
Therefore, the probability that a data value is between 48 and 52 is 0.2881, or about a 28.81% chance of occurrence.
A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey. Based on these data in the table, which statement is true? A. There were 2,451 boys surveyed and about 29% of them play video games. B. There were 2,996 girls surveyed, and about 45% of them play video games. C. There were 5,447 students surveyed, and about 54% of them do not play video games. D. There were 2,493 students surveyed, and about 34% of them are girl who do not play video games.
Answer:
c
Step-by-step explanation:
Evaluate the value of x to 1 d.p
Thank you
Answer:
value of x = 2.8
Step-by-step explanation:
By law of cosines,
[tex] {a}^{2} = {b}^{2} + {c}^{2} - 2 \times b \times c \times cos(100) \\ {x}^{2} = {13}^{2} + {10}^{2} - (2 \times 13 \times 10 \times cos100) \\ = 169 + 100 - 260 \times 0.862 \\ = 269 - 260 \times 0.862 \\ = 7.758 \\x = \sqrt{7.758 } \\ = 2.785 \\ = approx \: 2.8[/tex]
please help!! i have no clue what to do and this packet is due tonight.
Answer:
[D] ∞
General Formulas and Concepts:
Calculus
Limits
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{n \to \infty} s(n)[/tex]
[tex]\displaystyle s(n) = (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]
Step 2: Evaluate
Substitute in function [Limit]: [tex]\displaystyle \lim_{n \to \infty} (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]Multiply: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4}[/tex]Power Method: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4} = \infty[/tex]Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
find the ratio of the perimeter of two similar trapezoids with area 49cm^2 and 9cm^2
Answer:
3260 is the ratio of two similar trapizoids
Answer:
7:3
Step-by-step explanation:
(Ratio of perimeter)^2 = ratio of area.
Therefore
ratio of perimeter = sqrt(ratio of area) = sqrt(49/9) = 7/3
Estimate 16.26+4.169 by first rounding each number to the nearest tenth.
Answer:
16.3 + 4.2 = 20.5 (20.5 has not been rounded)
Step-by-step explanation:
I just rounded both numbers to the nearest tenth, it should be accurate. I hope I helped :)
What is the sum of the pink and green area?
Answer:
I think the answer is 11x
Answer:
11x
Step-by-step explanation:
Pink area = 6x
Green area = 5x
Total (sum) = 6x+5x =11x
Solve the trigonometric equation for all values 0 ≤ x < 2π.
2sin^2 x-1 = 0
IF YOU ANSWER CORRECTLY ILL GIVE BRAINLIEST
The coordinate grid shows points A through K. What point is a solution to the system of inequalities?
ys-2x + 10
1x-2
2
y>
1
OK
6 7 8 9 10
answer?? please help
Answer
where is the ?
Step-by-step explanation:
The first three members of a sequence are shown.
How many dots are in the full fourth member of the
sequence?
Please help! solve using picture. will mark as brainliest !
Answer:
As a result, seen in the picture the answer will be 14 which is letter b.
Step-by-step explanation:
1 + 5 + 9 =14.
Hopes this help.
Good luck.
Solve kx + 12 = 3 kx for x
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{x = \frac{6}{k}}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}}\\\\kx+12=3kx\\------------\\\rightarrow kx+12 - 12 = 3kx-12\\\\\rightarrow kx = 3kx - 12\\\\\rightarrow kx - 3kx = 3kx - 3kx - 12\\\\\rightarrow -2kx = -12\\\\\rightarrow \frac{-2kx = -12}{-2k}\\\\\rightarrow \boxed{x=\frac{6}{k}; k\neq 0}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x = 6/k
Step-by-step explanation:
kx + 12 = 3*kx
to make like terms on same side shift kx to right hand side . when u shift positive kx to other side it becomes negative
12 = 3kx - kx
12 = 2kx
shift 2 to left hand side when u shift multilication changes to division.
12/2 = kx
6 = kx
to find x u must shift k to other side . here also same since k and x are multilied when k shifts to others side it becomes divisor.
6/k = x
A hot metal plate at 150°C has been placed in air at room temperature. Which event would most likely take place over the next few minutes?
- Molecules in both the metal and the surrounding air will start moving at lower speeds.
- Molecules in both the metal and the surrounding air will start moving at higher speeds.
- The air molecules that are surrounding the metal will slow down, and the molecules in the metal will speed up.
- The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down.
Answer:
the last option, effectively cooling the hot plate down and heating the surrounding up
The inverse of the function f(x) = one-half x plus 10 is shown. h(x) = 2x- What is the missing value? 1 5 10 20
Answer:
20
h(x) = 2x - 20
Step-by-step explanation:
f(x) = ¹/₂ x + 10
First, isolate x, like so:
f(x) - 10 = ¹/₂ x
x = 2(f(x) - 10)
x = 2f(x) - 20
Now, simply switch f(x) with x and x with h(x), like so:
h(x) = 2x - 20
Answer:
the answer is 20
Step-by-step explanation:
took the test on edge
Write an equation for this graph
Answer:
y = -x - 2
Step-by-step explanation:
The slope is -1 and the y-intercept is (0, -2).
Which exponential function is represented by the graph
Answer:
the answer is "B" the second one...
(1/2)(2)^x
at
0 = (1/2)(1) = 1/2
2= (1/2)(4) = 2
Step-by-step explanation:
What is 3 the cube root of
Hurry!
Solve for X, Round to the nearest tenth, if necessary
Answer:
Step-by-step explanation:
take 43 degree as reference angle
using tan rule
tan 43 = opposite / adjacent
0.93 = x / 56
x = 56/0.93
x = 60.21
x = 60.2
x(x+2) + y (x + 2) - 5(x + 2)
factor
Answer:
x² + xy - 3x + 2y - 10
Step-by-step explanation:
x(x + 2) + y(x + 2) - 5(x + 2)
x² + 2x + y(x + 2) - 5(x + 2)
x² + 2x + xy + 2y - 5(x + 2)
x² + 2x + xy + 2y - 5x - 10
x² - 3x + xy + 2y - 10
x² + xy - 3x + 2y - 10
Johanna buys two poster frames that have the same area, but different shapes. One is a rectangular frame with a width of 40 inches and a length of 30 inches. The other frame is square. What a poster with dimensions of 36 inches X 36 inches fit in the square frame?
Answer:
No, the poster would not fit in the frame
Step-by-step explanation:
A rectangle is a quadrilateral (has 4 sides and 4 angles) with two pair of opposite and equal sides.
A square is a quadrilateral in which all sides are equal.
Given that the rectangular frame has a width of 40 inches and a length of 30 inches. The area of the rectangular frame is:
Area of rectangular frame = length * breadth = 40 inches * 30 inches = 1200 in²
Since the square frame has the same area as the rectangular frame, hence:
Area of square frame = length * length
length² = 1200
length = √1200 = 34.64
Therefore the dimensions of the square frame is 34.64 inches by 34.64 inches.
Hence a poster with dimensions of 36 inches X 36 inches cannot fit in the square frame.
Find the slope of the line through the pair of points.
L(–9, 6), M(–1, –9)
Answer:
slope = y2 -y1/x2 -x1
= -9 - 6/-1 - (-9)
= -15/8
= -1.875
can someone help me plz
Answer:
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. A copy machine can duplicate 2400 copies in one hour. How many copies can it make per minute?
Indira buys 1250 square metres of land to build a hotel. Each square metre of land costs $12. Calculate the cost of the land. Answer(a) $ [1] (b) The cost of the land is 3% of the cost of the hotel. Calculate the cost of the hotel
Answer:
500000
Step-by-step explanation:
yeah boi
Find many ways of arranging 24 counters in equal rows as you can. Write a multiplication sentence for each way
Answer:
6×4
2×12
8×3
Step-by-step explanation:
I know!
Yo help a nixxa out please the struggle is real
Option C: Three sides measuring 5 in, 12 in, and 14 in.
Of every 5 CDs produced in a
factory, 2 are scratched. If
2,200 CDs were produced,
how many were scratched?
Answer:
880
Step-by-step explanation:
2/5 times 2200
Answer:
880 scratched CD's
Step-by-step explanation:
2/5 = x/2,200
5x = 4,400
/5 = /5
x = 880
-20=-8(a+4)-5(1-5a)
What is a
Answer:
a=1
Step-by-step explanation:
-20=-8(a+4)-5(1-5a)
Distribute
-20 = -8a -32 -5 +25a
Combine like terms
-20 =17a -37
Add 37 to each side
-20+37 = 17a-37+37
17 = 17a
Divide by 17
17/17 = 17a/17
1= a
can someone plzz help . Write and solve an the equation to find the value of x and the missing angle measures
Answer:
x=9
Angles = 50
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal
4x+14 = 6x-4
Subtract 4x from each side
4x+14-4x = 6x-4-4x
14 = 2x-4
Add 4 to each side
14+4 = 2x-4+4
18 =2x
Divide by 2
18/2 =2x/2
9 =x
The angles are equal
4x+14 = 6x-4 = 4(9)+14 = 36+14 = 50
What is the Tenth term of 3n+2
