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alexandr402 [8]
3 years ago
5

A pump empties the pool at the rate

Mathematics
1 answer:
katovenus [111]3 years ago
4 0

Answer:

80 hours.

Step-by-step explanation:

20,000  / 1,000  = 20

4  x 20 = 80

Hope this helps.

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MARKED AS BRAINLIEST:)
tangare [24]

Answer:

49/5

Step-by-step explanation:

x+x+x+x+x+30=79

5x+30=79

5x=49

x=49/5

5 0
3 years ago
The temperature is -2C. If the temperature rises by 15C, what is the new temperature
almond37 [142]

it the temperature is -2 and rises by 15 you do -2+ 15 to get 13

5 0
3 years ago
Express the product of z1 and z2 in standard form given that <img src="https://tex.z-dn.net/?f=z_%7B1%7D%20%3D%20-3%5Bcos%28%5Cf
Marta_Voda [28]

Answer:

Solution : 6 + 6i

Step-by-step explanation:

-3\left[\cos \left(\frac{-\pi }{4})\right+i\sin \left(\frac{-\pi }{4}\right)\right]\cdot \:2\sqrt{2}\left[\cos \left(\frac{-\pi }{2}\right)+i\sin \left(\frac{-\pi }{2}\right)\right]

This is the expression we have to solve for. Now normally we could directly apply trivial identities and convert this into standard complex form, but as the expression is too large, it would be easier to convert into trigonometric form first ----- ( 1 )

( Multiply both expressions )

-6\sqrt{2}\left[\cos \left(\frac{-\pi }{4}+\frac{-\pi \:\:\:}{2}\right)+i\sin \left(\frac{-\pi \:}{4}+\frac{-\pi \:\:}{2}\right)\right]

( Simplify \left(\frac{-\pi }{4}+\frac{-\pi }{2}\right) for both \cos \left(\frac{-\pi }{4}+\frac{-\pi }{2}\right) and i\sin \left(\frac{-\pi }{4}+\frac{-\pi }{2}\right) )

\left(\frac{-\pi }{4}+\frac{-\pi }{2}\right) = \left(-\frac{3\pi }{4}\right)

( Substitute )

-6\sqrt{2}\left(\cos \left(-\frac{3\pi }{4}\right)+i\sin \left(-\frac{3\pi }{4}\right)\right)

Now that we have this in trigonometric form, let's convert into standard form by applying the following identities ----- ( 2 )

sin(π / 4) = √2 / 2 = cos(π / 4)

( Substitute )

-6\sqrt{2}\left(-\sqrt{2} / 2 -i\sqrt{2} / 2 )

= -6\sqrt{2}\left(-\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right) = -\frac{\left(-\sqrt{2}-\sqrt{2}i\right)\cdot \:6\sqrt{2}}{2}

= -3\sqrt{2}\left(-\sqrt{2}-\sqrt{2}i\right) = -3\sqrt{2}\left(-\sqrt{2}\right)-\left(-3\sqrt{2}\right)\sqrt{2}i

= 3\sqrt{2}\sqrt{2}+3\sqrt{2}\sqrt{2}i:\quad 6+6i - Therefore our solution is option a.

4 0
4 years ago
Pls help write a rule to represent the sequence then b find a to 9th -8, -16, -32, ...
erastovalidia [21]

Answer:

x2

Step-by-step explanation:

This sequence starts with -8, and is being multiplied by 2 every term

4 0
3 years ago
a rectangle has a length that is 6 inches longer than its width. if w represents, the width, write an expression, in terms of w,
wel
W x (w + 6) is the expression
7 0
4 years ago
Read 2 more answers
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