(a+b)⁴ binomial expansion
Answers
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Method Used :-[tex]Using \: (a+b) {}^{2} (a+b) {}^{2} and (a+b+c) {}^{2} [/tex]
Expansion :-[tex](a + b) {}^{4} \\ = [(a+b) {}^{2} ] {}^{2} \\ = (a {}^{2} +2ab+b {}^{2} ) {}^{2} \\ = (a {}^{2} ) {}^{2} +(2ab) {}^{2} +(b {}^{2} ) {}^{2} +2(a {}^{2} )(2ab) +2(2ab) \\ (b {}^{2} )+2(b {}^{2} )(a {}^{2} ) \\ = a {}^{4} +b {}^{4} +4a {}^{3} b+6a {}^{2} b {}^{2} +4ab {}^{3} [/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Related Questions
One pot has a water height of 8cm. Calculate the water pressure at the bottom of the pot. They give g = 10N / kg p = 1000kg / m3
Answers
We are given:
Depth of water column = 8 cm
g = 10 N/kg and ρ (density) = 1000 kg / m³
Finding the pressure at the bottom:
We know that the formula for pressure at the bottom of a fluid is:
P = P₀ + hρg [where P₀ is the atmospheric pressure]
P = P₀ + (0.08 m) (1000 kg / m³) (10 m / s²)
P = P₀ + 800 N/m²
we know that the atmospheric pressure, in N/m² is approximately 10⁵
P = (10⁵ + 800) N/m² [N/m² is also commonly called 'Pascals']
which means that at the bottom of the water column, the pressure is 800 Pascals more than what it normally is
What is the length of this rectangle?
Answers
Answer and Step-by-step explanation:
The answer is:
[tex]x^3 - 3[/tex]
When we multiply this length by the height ([tex]8x^{2}[/tex]), we get the area.
When a power/exponent (attached to a base/number) is having its' base being multiplied to another base with an exponent (and the bases are the same), the exponents will add together.
#teamtrees #PAW (Plant And Water)
54,372,000,000,000 in scientific notation
Answers
Answer:
5.4372 x 10 to the 5th power
Step-by-step explanation:
Answer:
[tex]5.4372*10^{13}[/tex]
Step-by-step explanation:
please help!!!! i really need to get this done
Answers
Answer:
142°
Step-by-step explanation:
express Rs 1.50 as a percentage of 200 cents
Answers
1 $ = 100 cents
1.5 $ = 150 cents
1.50 $ a percentage of 200 cents = (150/200)100= 75%
Evaluate (2.4 x 10^4) (4.5 x 10^3)
Plss help!
Answers
Answer:
Step-by-step explanation:
2.4*10^4*10^3*4.5
=10.8*10^4+3
=10.8*10^8
=10.8*100000000
=1080000000
Sharon started driving on the highway in the morning. The equation m=60h represents the number of miles, m, that Sharon has driven on the highway in h hours. Four other cars are on the same highway. click on all the graphs that represent cars moving faster than Sharon's car.
Answers
Answer: car 1, and car 4
Step-by-step explanation: if you look at the graphs you would have to look at where 1 hour would hit 60. If it’s past 60, the car is moving faster than sharon. Hope this helps!
One day, the hours without daylight in a particular city was 17 3/4 hours. What was the number of hours of daylight? PLS help me ASAP!
Answers
Answer:
6 ¼ hours of Daylight
Step-by-step explanation:
a day = 24 hoursyou know that there was 17 ¾ hours of no day light 17 ¾ = 17.7524 - 17.75 = Daylight hoursdaylight hours = 6.25what is 713.49 written in standard form
Answers
Seven hundred thirteen point forty - nine
Si a los lados de un cuadrado se le aumenta en 3 y 5 m respectivamente la superficie del nuevo rectangulo es 440m .Encontrar el lado del cuadrado inicial
Answers
Answer:
El lado del cuadrado inicial es 17 m.
Step-by-step explanation:
El área de un rectángulo se calcula a partir de los dos lados diferentes. Siendo a y b el valor de ambos lados, el área de la figura es el producto de los dos lados contiguos del rectángulo.
A los lados de un cuadrado se le aumenta en 3 y 5 m respectivamente la superficie del nuevo rectángulo es 440 m². Siendo x el lado del cuadrado inicial, entonces el área del rectángulo se puede expresar como:
(x+3)*(x+5)= 440 m²
Resolviendo:
x*x + 5*x + 3*X + 3*5= 440
x² + 8*x + 15=440
x² + 8*x + 15 -440= 0
x² + 8*x -425= 0
Una función cuadrática de la forma a*x² + b*x + c= 0 se puede resolver mediante la expresión:
[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]
En este caso, a=1, b=8 y c=425. Reemplazando:
[tex]\frac{-8+-\sqrt{8^{2}-4*1*(-425) } }{2*1}[/tex]
Resolviendo:
[tex]\frac{-8+\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8+\sqrt{64+1700} }{2*1}= \frac{-8+\sqrt{1764 } }{2}= \frac{-8+42 }{2}= \frac{34}{2} = 17[/tex]
y
[tex]\frac{-8-\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8-\sqrt{64+1700} }{2*1}= \frac{-8-\sqrt{1764 } }{2}= \frac{-8-42 }{2}= \frac{-50}{2} = -25[/tex]
Como las longitudes no pueden ser negativas, el lado del cuadrado inicial es 17 m.
I’ll mark as brainliest.
Answers
Answer:
7 + 7 = 14(given lengths)
34(total length) - 14(given length) = 20
20 divided by 2(2 missing slots) = 10
Answer:
10 in
Step-by-step explanation:
formula for perimeter:2 (l + b)
perimeter=34 in
2 ( l + 7 ) = 34
2l + 14 = 34
2l = 34 - 14
l = 20 ÷ 2
l = 10 in
List the members of the domain and range in the relation {(2, 8),(3, 27), (4, 64)}. *
Answers
Answer:
Step-by-step explanation:
Domain is indicative of the x values,while range is the y values. For our relation, the domain will be
D = {2, 3, 4} and the range will be
R = {8, 27, 64}
Which expressions are equivalent to -3. + 6y + 70 - 14?
Select all correct answers
A-10.x - 14
B. 2(2x + 3y - 7)
C. 4. - 6y + 14
D. 4. + 6y - 14
E 10x + 6y - 14
Answers
Answer:
I am guessing C
Step-by-step explanation:
The perimeter fence of a certain lot for Ipil-Ipil seedlings is 60 meters with the length of 10 meters. What is the area of the lot?
Answers
Answer: 200 m²
Step-by-step explanation:
The perimeter is calculated by the formula:
= (2 * length) + (2 * width)
We have the perimeter so we can find the width:
60 = (2 * 10) + (2 * w)
60 = 20 + 2w
2w = 60 - 20
w = 40 / 2
w = 20 meters
Area of a rectangle can be used because this fits the characteristics of a rectangle:
= Length * Width
= 10 * 20
= 200 m²
help me please (3) 20 points
Answers
Answer:
Step-by-step explanation:
surface are of cuboid=2(lb+bh+hl)
=2(14*12+12*6+6*14)
=2(168+72+84)
=2*324
=648 in.^2
Answer:
648 inches
Step-by-step explanation:
First, you do 14 times 12 times 2 and get 336.
Next, you do 14 times 6 times 2 and get 168.
Then you do 6 times 12 times 2 and get 144.
Now add 336, 168, and 144 together to get 648.
1.) A butterfly can fly 82 feet in four seconds and a dragonfly can fly 50 feet in two seconds. Which can fly faster and by how much? *
1 point
The dragonfly is 4.5 feet per second faster.
The butterfly is 4.5 feet per second faster.
The dragonfly is 20.5 feet per second faster.
The butterfly is 32 feet per second faster.
Answers
Answer:
The dragonfly is 20.5 feet per second faster
Step-by-step explanation:
Answer:
A. The dragonfly is 4.5 feet per second faster.Step-by-step explanation:
Speed of butterfly:
82/4 = 20.5 ft/secSpeed of dragonfly:
50/2 = 25 ft/secThe difference:
25 - 20.5 = 4.5 ft/secCorrect choice is A
x^2+3x−10=0 (solve for x)
Answers
Answer:
x1=2 x2=-5
Step-by-step explanation:
4. At what temperature will the average speed of oxygen molecule be sufficient so as to escape from the earth? [escape velocity from the earth is 11.2km/s and mass of one oxygen molecules is 5.34×10-26 gm/molecule and Kg = 1.38 x 10-23J/K]
Answers
Factor 48q + 6 :Example of form: Factor 15a + 10 Answer. 5(3a + 2)
Answers
Answer:
=6 times 8q+6
=6(8q+1)
Step-by-step explanation:
Between 06 00 and 10 00,the same day, the volume of water in a reservoir decreased from 24 000 L to 18 000 L. What was the average rate of decrease in volume of water, giving your answer in L/h ?
Answers
Answer:
Step-by-step explanation:
Given,
Time taken (t) = 10 - 6 = 4hrs
Water decreased (V) = 24000l - 18000l = 6000l
Now,
average rate of decrase (Avg) = V/t = 6000l/4 =1500 L/h
Pls do it for me thank you so much
Answers
Answer:
(a) Attached to this response.
(b)
(i) 0 cups = 0.275
(ii) 4 cups = 0.125
(iii) 8 cups = 0.025
Step-by-step explanation:
(a) The frequency and relative frequency table has been attached to this response.
i. The first column, labelled x, is the number of cups of coffee consumed per day.
ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.
For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.
iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).
For example, the relative frequency of 2 cups of coffee is given by:
r = 7 ÷ 40 = 0.175
Also, the relative frequency of 4 cups of coffee is given by;
r = 5 ÷ 40 = 0.125
(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;
Pₓ = frequency of x ÷ total frequency
This is also the relative frequency of x
Therefore,
(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;
the relative frequency of 0 = 0.275
(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;
the relative frequency of 4 = 0.125
(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;
the relative frequency of 8 = 0.025
Perform the indicated operation.
g(t) =t+2, f (t) = −3t^3– 1
Find: (g o f)(-4)
Answers
Hi there!
[tex]\large\boxed{g(f(t))(-4) = 193}[/tex]
Find g(f(t))(-4) by substituting in f(t) for t into g(t):
g(f(t))(t) = (-3t³ - 1) + 2
Simplify:
g(f(t))(t) = -3t³ + 1
Substitute in -4 for t:
g(f(t))(-4) = -3(-4)³ + 1 = 193
What can you conclude about these triangles? Check
all that apply.
0 Angle E corresponds to angle L.
O All corresponding angles are proportional.
The measure of angle E is 29º.
0 The two triangles are similar.
The two triangles are congruent.
Answers
Answer:
Angle E corresponds to angle LThe two triangles are similarStep-by-step explanation:
Angle E corresponds to angle L because the two triangles are similar (and we know this becuase corresponding sides are proportional.
Turn this percent into a decimal: 0.04%
Answers
Answer:
0.04
Step-by-step explanation:
what is the answer of this question
Answers
Answer:
[tex]\frac{7^2 * 7^{3} * z^5}{z^3 * 10}\\\\= \frac{7^5 * z^2}{10}\\\\= \frac{16805z^2}{10}[/tex]
I'm not sure if it's correct
find the zeros of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
[tex]4x ^{2} + 8x[/tex]
Answers
Answer:
Zeros would be x= 0, -2
Step-by-step explanation:
hope this helps :)
Hikers set up camp at 5,200 feet on
Guadalupe Peak. They plan to reach
the summit at 8,750 feet by hiking
equal distances cach day for the
next 5 days. Which number line
represents the distance, in feet, they
must hike each day to reach the
summit?
Answers
Answer:
710 ft
Step-by-step explanation:
8750 - 5200 = 3550
3550 / 5 = 710
1) A searchlight is mounted on the front of a search and rescue helicopter. The pilot is
flying the helicopter 150 m above the ground and the centre of the searchlight is angled
down at an angle of 70 degrees from the horizontal. The beam spreads out by 2.5
degrees to either side of the centre of the beam. How wide an area does the beam
illuminate on the ground?
I
I need it today please
Answers
if please help !!!!!!!!
Answers
Answer:
ok question?
Step-by-step explanation:
From the top of a cliff 8 metres high,two boats are seen in a direction due West. Find the distance between the boats if their angles of depression from the top of a cliff are 45 degrees and 30 degrees. Find also the actual distance the further boat from the top of the cliff.
Answers
Answer:
Distance of first boat = 8 meter
Distance of second boat = 13.87 meter (Approx.)
Step-by-step explanation:
Given:
Height of cliff = 8 meter
Angle of depression respectively = 45° and 30°
Find:
Distance of boats
Computation:
Tanθ = Perpendicular / Base
Tan45 = 8 / Distance of first boat
1 = 8 / Distance of first boat
Distance of first boat = 8 meter
Tan30 = 8 / Distance of second boat
0.577 = 8 / Distance of second boat
Distance of second boat = 8 / 0.577
Distance of second boat = 13.8648
Distance of second boat = 13.87 meter (Approx.)