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Here is my second question on the complex numbers assignment. How do I prove the following below?

#sin^2A+sin^2(AB)+2sinAcosBsin(BA)=# ?

A 6N falling object encounters 6 N of air resistance. What is the magnitude of the net force on the object?

How do you verify #csc^2 θ + sec^2 θ = csc^2 θsec^2 θ#?

Find all solutions if 0° ≤ θ < 360°. Verify your answer graphically. (Enter your answers as a commaseparated list.)? #sin 2θ = −1/2#

How do you identify the conic of ##r = 3/(1  sinx)?

Find all degree solutions in the interval 0° ≤ θ < 360°. If rounding is necessary, round to the nearest tenth of a degree. (Enter your answers as a commaseparated list.)? #3 sin^2 θ − 10 cos 2theta = 0#

Balance the following redox reaction in acidic solution?

What is the 15th term of the arithmetic sequence 17, 24, 31, … ?

Work done is zero if an object moves with constant velocity? right?

Show the simplification from #(8.31 "LKPa")/("molK"# to #(8.31 "J")/("molK")#?

State the units for intensity using only fundamental units? (Hint: work from #W/(m^2)#)

1kg m^2 s^2 is equal to? a)10^2gm cm^2 s^2 b) 10^5gm cm^2 s^2. c) 10^7gm cm^2 s^2. D)10^9gm cm^2 s^2

A photon of wavelength 100mm acts as a mass of? My text book gives the answer 2.21×10^41. but a photon can't have mass because when an object travels with speed of light it's mass becomes infinite.

How do you convert #y=5# to polar form?

Find a confunction with the same value as tan pi*/8 ?

Bicarbonate Ion: Acid or Base?

An electric toy car with a mass of #8 kg# is powered by a motor with a voltage of #5 V# and a current supply of #4 A#. How long will it take for the toy car to accelerate from rest to #8/3 m/s#?

When 0. 24g of magnesium is reacted with excess HCL what volume of gas is l
When 0. 24g of magnesium is reacted with excess HCL what volume of gas is liberated at RTP?

Question 7(Multiple Choice Worth 2 points)
What type of organic compound contains the functional group below?
Nitrogen atom bonded to one, two, or three carbon atoms.
Ketone
Ether
Ester
Amine

A car is driven east for a distance of 40km the north for 30km and then in a direction 30° east of north got 25km. Determine the magnitude and the angle of the total displacement from its starting point.?

Sn=77,an=20,an=26,a1=?

Is "now" a conjunction? Can I say that a series of successive sentences beginning with "now" are examples of polysyndeton?

How do i Use Greatest Common Factor and Distributive
form 6j+42k?

What is the equivalent radical expression for the exponential expression below?
18^1/2

Equations and Graphs of Trigonometric Functions. Determine the solutions to the equation 4sin2(x+45)=3 over the interval 0<x<360 Algebreically?

How do you simplify #4sqrt32*sqrt2#?

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #x + y = 3#; #x + y = –1#?

The common ratio in a geometric sequence is 3/2, and the fifth term is 1 ,find the first third terms?

The First Term of a geometric sequence is 3,and The Third term is 4/3 find the fifth term?

In what tone are Cassius and Brutus speaking?
A. they are loud and confident
B. they are whispering conspiratorially
C. they are excited and enthusiastic
D. they are saddened and shocked

The volume of air in a model car is #40cm^3# . A scale of 1:50 was used to create the model. What is the volume of air in the actual car?

Diffrentiate between an electron and neutron?

A conical tank with a radius of 4 ft and a height of 12 ft is filled with liquid. How much liquid has poured from the tip of the cone if the water level is 9 ft from the tip?

What is the error in the proof? (more in details)

#(1)^{10} + (1)^{9} + (1)^{8} + \cdots + (1)^9 + (1)^{10}# (The dots #\cdots# mean that there are 21 numbers being added, one for each integer from #10# to 10.) ?

Is heat being added or taken away when water boils?

What is the difference between a longitudinal wave and a transverse wave?

If a heater with power 1000 W gives #3.6*10^6# heat energy in 1 hour. What will be the temperature raised in 50kg of water with temperature #30^@#C by that heat?

What are the two components of velocity?

The sum of 2 consecutive odd integers is always a multiple of 4. Providing proof, is the statement true or false?

You hold a 65°C cup of cocoa. Your hand is 37°C and the outside air is 6°C. What is the ﬂow of thermal energy?

Solve for θ on the interval [90°,180°]:2tanθ +19 = 0?

How do you simplify #zr \cdot 2z ^ {  4} r ^ {  3}#?

How do you find the angle of the sum and difference identities to simplify sin15?

How do you simplify the square root of s to the eighth power + the square root of 25 times s to the eighth power + 2 the square root of s to the eighth power − the square root of s to the fourth power?

Are these sentences grammatically correct?

Are they grammatically correct sentences?

The edge of a ruler that Paula used to measure the radius of a circle is divided into tenths of a centimeter. She measured the radius as 3.75 centimeters. With this level of precision, which choice is the best way to report that area of the circle?

Derive the frequency for a third harmonic in a closed pipe from #f=v/lamda# ?

How do I solve this Grade 9 Ratio question?

Can someone help with this grade 9 math question?

The equation is x²y²+6x+2y=10. What is the center,vertices,foci length of Latus Rectum, asymptotes and the graph of hyperbola?

A destroyer sends out a sonar pulse that returns from a submarine in 1.68s. If the speed of sound in seawater is 1531 m/s, how far away is the submarine?

The second and ninth terms of an arithmetic sequence are 2 and 30, respectively. What is the fiftieth term?

Can energy be absorbed when matter changes?

How do you solve #x^210x=24# by graphing?

Is the relationship between temperature and volume directly or inversely proportional?

Sandra saves 12% of her salary for retirement. This year her was $3,000 more than in the previous year, and she saved $4.20. What was her salary in the previous year?

How do you simplify #(1+cos x) (1cos x)#?

Algebra problem?

How do you solve #e^ { 6x  7}  5= 28,602#?

How do you solve #(32 + sqrt 80) / 4#?

Why is energy not completely recycled?

How do you simplify # 125v^2 = t#?

How much would a 2000 N car weigh on the Moon?

Gary is catering a picnic. There will be 118 guests at the picnic, and he wants each guest to have a 12ounce serving of salad. How much salad should he make?

How do you find the inner product and state whether the vectors are perpendicular given #<4,8>*<6,3>#?

Based on the data, which company most likely has the longest average commute time per employee?

Convert to meters: 8750 kilometers?
Thanks 😊

Three candidates are selected from a certain number of interviewees.If the order is not taken into account, then number of ways the candidates can be chosen is 35.How many ways are there if the order is taken into account?

(1/1sinx)(sinx/1+sinx);tanx
Rewrite?

Drink in a cylindrical can with height h and radius r,
A) If the volume of the can is 87.5pi, state h in terms of r?
B) Obtain the total surface area of the can in terms of r?
C) Calculate the radius of the cylinder if the total surface area is minimum?

How do you simplify the expression #cot^2x+1#?

Mylo wishes to buy a cellphone worth Php8,000 six weeks from now. He starts saving Php100 the first week, Php200 the second week, Php400 the third week and so on. Will he be able to buy the cellphone after 6 weeks? Justify your answer.

When do we use
she have had done……?

In canned fruit, the major function of syrup is?
1. Conduction of heat
2. Provide taste
3. Preserve fruit
4. Kill microorganisms
An explanation for the correct alternative would be helpful

She was doing her homework
She had been doing her homework
Which is correct?

How do you multiply square root of x times 4th root of x times 9th root of x?

Blaine County, Idaho, has a population of more than 20,000 people. What is the order of magnitude for the number of people living in this county?

How do you simplify #((2*b*c^2)^5) * ((3*b^6*a^5)^5)#?

How do you find the roots, real and imaginary, of # h=16t^2+6t 4 # using the quadratic formula?

Abet…She was unwilling to abet him in the swindle he had planned.
Why not it can be in the swindle he planned? Why we added "had" and without it sentence would be correct or not?

If the sum of an arithmetic sequence sequence is 220 and the first term is 10, find the common difference if the last term is 30.
?

An architect designs a theater with 15 seats in the first row, 18 in the second, 21 in the third, and so on. If the theater is to have a seating capacity of 870, how many rows must the architect use in his design?

Insert enough arithmetic means between 1 and 50 so that the sum of the resulting arithmeticn series will be 459.
?

The first term of a geometric sequence is 8, and the second term is 4. Find the fifth term.
?

A drivein theater has spaces for 20 cars in the first parking row, 22 in the second, 24 in the third, and so on. If there are 21 rows in the theater, find the number of cars that can be parked.
?

Which term of the geometric sequence 2, 6, 18, ... is 118098?

The number of bacteria in a certain culture doubles every 3 hours. If there are N bacteria to start with, find the number in 24 hours.
?

The second and fifth terms of a geometric sequence are 10 and 1250, respectively. Is 31,250 a term of this sequence? If so, which term is it?

In sample of gas 50.og of oxygen gas o2 take up 40l of volum.keeping the pressure constants, the amount of gas is changed the volume is 72l.how many grams of gas are now in the container?

The 1st term of a geometric progression exceeds the second term by 1 and the sum of the first three terms is #13/5#.If there are positive as well as negative terms in the geometric progression, find the sum of the first five terms. ?

Write the number given in polar form in the form of a + ib
a. #z= 5(cos(7pi/6) +isin(7pi/6)#
b. #z= 6(cos (pi/8) +isin(pi/8))# ?

The time to do a piece of work is inversely proportional to the number of men employed. If it takes 4 men to do a piece of work in 5days,how long will it take 25 men?

How do you solve #cos^2x=3/4#? Which solution is correct?

How to prove ?

Using DeMoivre;s theorem compute the complex number #z= ( ( i 3)/(2+i))^7# ?

What are two consecutive odd numbers whose sum is 40?

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