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I'm sorry but the imagine does not load

Is my answer correct?

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:D

No, it was a challenge problem (week  6)

Yup! I agree

[a·cis(A)] · [b·cis(B)  =  a·b·cis(A + B)

Multiplying  3sqrt(2) · 2sqrt(5)  =  6sqrt(10)

Adding  pi/12 + 4pi/3  =  17pi/12

Answer:  6sqrt(10)cis(17pi/12)

Area = 65.45 m^2

What is the area of the parallelogram?

Thank you for the help

We know that the Hooke's law states that the force 'F' needed to stretch or compress a spring by some distance 'a' is proportional to that distance. , where c is the spring constant. Given: A spring has spring constant 0.3 m/newton. Hence, the force is necessary to stretch the spring by 1.5 meters = 5 Newton. 

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Oh ok that's cool, lol I assumed that (Google translate is very useful)

Convert both of them as a power of 10 representations:

Googol! =10^(10^101.9981097754820)

Googolplex =10^(10^100)

As you can see, Googol! is much, much bigger number than Googolplex.

I agree (it is very important to learn and understand the Pythagorean theorem in order to solve and enjoy complex problems.)

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I only posted one question...

Here, we'd want x as the hypotenuse (as that is the longest part of a right triangle). So, 6 cm and 9 cm would be the legs.

Using the Pythagorean theorem, we can find the value of x:

6² + 9² = x²

36 + 81 = x²

117 = x²

x = √117, so I'd think that would fall under E) Other. :D

The answer is 7 

The fossil record, anatomical and embryological homologies, and genetic similarities between a species can be used to support the theory of evolution (if that's what you mean by common ancestry) :D

In order to answer this question use the Pythagorean Theorem, a^2 + b^2 = c^2.

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Nah, it's Portuguese. I don't speak it though, Google Translate :D

Oops, I must've done something wrong. Was this an alcumus problem?

Do you speak Spanish?

𝐈 𝐭𝐡𝐢𝐧𝐤: 𝟒, 𝟐, 𝟏, 𝟑 =(𝟒*𝟐) + (𝟐*𝟏) + (𝟏*𝟑) + (𝟑*𝟒) = 𝟐𝟓

(Eu tive que traduzir minha resposta do inglês para o português, mas espero que seja entendido!)

Portanto, a temperatura inicial é de -7 graus Celsius. Agora, subtraímos 18 deste número.

-7 - 18 = - (7 + 18), que é -25. Você pode solicitar a ajuda de uma linha numérica para ver como isso funciona.

Então, a temperatura de Moscou após a queda repentina de temperatura foi de -25 graus Celsius! :D

P (two orange in a row without replacement ) =  2/13 * 1/12 =   2 / 156   =   1 / 78

Hmmm I think Googleplex would be larger (I don't have proof though)

:D

Nice, you're getting into set theory! I am not the best at this stuff, but I'll try :D

For teh first one:

Whenever we see an apostrophe next to the set, it means to take the complement of that set. This means, it includes all the things that ARE NOT n that set. For this one, it says X', which means everything that is not in X. So it would be C :D

For teh second one:

a)

(i) So you see that "U" symbol? That "U" stands for Union: Everything that is in A or B. This also includes everything in A and B, so basically just A + B. Here, it would be everything in the circles - 8, 14, 17, 16, 9 and 12.

(ii) This "n" symbol is kind of the opposite, but not really - it stands for an Intersection. This one is fairly obvious to understand - it is everything which is in the intersection of A and B :)

Here, it would be 14 and 17 :D

b) I'm not sure what that "/" symbol is on top of the A, but I'm assuming the question-makers tried to make an apostrophe (a complement). I trust that you can now solve this one on your own! :D