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ExtremeBDS [4]
3 years ago
11

Please show the steps for this question Divide z4 by z-3

Mathematics
1 answer:
dsp733 years ago
8 0
Z^4 / z^-3 = z^7  - when you divide numbers written in exponential form, you keep the base and subtract the exponents.  z^4 divided by z^-3 = z^ (4- (-3)) = z^7.
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A package of 2 fancy plastic hats costs $8. What is the unit price of a hat?
snow_tiger [21]
Each hat price cost $4
7 0
3 years ago
Read 2 more answers
1.
kicyunya [14]

Answer:

D. p = 6.25h

Step-by-step explanation:

6.25 (2) = p 12.50

6.25 (4) = p 25.00

6.25 (6) = p 37.50

6.25 (8) = p 50.00

7 0
3 years ago
Can some one please do this? thank you !
jenyasd209 [6]

Answer:

Step-by-step explanation:

6)a)

5\sqrt{27}=5\sqrt{3*3*3}\\\\ =5*3\sqrt{3}\\\\ =15\sqrt{3}

7a) y² - 5y - 14 =  y² -7y +2y - 2*7

                       = y*(y - 7) + 2*(y - 7)

                        =(y - 7)(y + 2)

b) Use FOIL method

(2\sqrt{5}+1)(3\sqrt{5}-1)=(2\sqrt{5}*3\sqrt{5})-((2\sqrt{5}*1)+1*3\sqrt{5})-1*1\\\\ =6*5-2\sqrt{5}+3\sqrt{5}-1\\\\  =30+(-2+3)\sqrt{5}-1\\ \\=29+\sqrt{5}

c) Rationalize the denominator by multiplying the denominator and numerator by √12

\frac{6}{\sqrt{12}}=\frac{6*\sqrt{12}}{\sqrt{12}*\sqrt{12}}\\\\=\frac{6\sqrt{2*2*3}}{12}\\\\=\frac{6*2\sqrt{3}}{12}\\\\=\frac{12\sqrt{3}}{12}\\\\=\sqrt{3}

8 0
3 years ago
Write in algebraic expression 15 less than the product of 2 and r
STALIN [3.7K]

Answer:

2r - 15

Step-by-step explanation:

product of 2 and r is 2r and then minus by 15. im sorry if this is wrong haha

3 0
3 years ago
Tyler is building a fish tank in the shape of a sphere that has a diameter of 20 inches. Based on Tyler's research, it is recomm
nikklg [1K]

Answer: 6 fishes

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a sphere = 4/3 x π x (diameter/2)^3

Replacing with the values given:

V = 4/3 x π x (20/2)^3

v = 4/3 x π x (10)^3 = 4,188.79 in3

Finally, we have to divide the volume of the fish tank by the volume that each goldfish needs.

4,188-79 / 693 = 6.04 = 6 fishes

Feel free to ask for more if needed or if you did not understand something.

3 0
4 years ago
Read 2 more answers
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