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miv72 [106K]
3 years ago
7

Just two Algebra questions. Thank you :)

Mathematics
1 answer:
tekilochka [14]3 years ago
8 0
4m^6 - 16m^{10}

= (2m^3)^2 - (4p^5)^2

= (2m^3 -4p^5)(2m^3 + 4p^5)

================================
This expression is the difference of 2 squares :

\bf 9n^4 - 49n^6

= (3n^2)^2 - (7n^4)^2

= (3n^2 + 7n^4) (3n^2 - 7n^4)

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6 QUESTIONS!! Simplify, thankyou!!
dezoksy [38]

Answer: Check explanation

Step-by-step explanation: -g-6, 9d+3, -12y+20, 14n-29, -2c, x+21/2

3 0
2 years ago
Read 2 more answers
Water pours into a tank at the rate of 2000 cm3/min. The tank is cylindrical with radius 2 meters. How fast is the height of wat
Gennadij [26K]

Volume of water in the tank:

V=\pi (2\,\mathrm m)^2h=\pi(200\,\mathrm{cm})^2h

Differentiate both sides with respect to time <em>t</em> :

\dfrac{\mathrm dV}{\mathrm dt}=\pi(200\,\mathrm{cm})^2\dfrac{\mathrm dh}{\mathrm dt}

<em>V</em> changes at a rate of 2000 cc/min (cubic cm per minute); use this to solve for d<em>h</em>/d<em>t</em> :

2000\dfrac{\mathrm{cm}^3}{\rm min}=\pi(40,000\,\mathrm{cm}^2)\dfrac{\mathrm dh}{\mathrm dt}

\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{2000}{40,000\pi}\dfrac{\rm cm}{\rm min}=\dfrac1{20\pi}\dfrac{\rm cm}{\rm min}

(The question asks how the height changes at the exact moment the height is 50 cm, but this info is a red herring because the rate of change is constant.)

7 0
3 years ago
Please, someone, help with this question. This is my last question.
Leya [2.2K]

Answer:

4.43 inches

Step-by-step explanation:

The volume of the hot tub is

V = l*w*h

We are given the volume in gallons which we need to convert to cubic inches

1 gallon = 231  in^3

350 gallons *231 in ^3/1 gallon = 80850 in ^3

Substituting in what we know, we can find the height of the tub

80850 = 76*60 *h

17.76026316 is the height of the tub

If the tub is 1/4 full

We take 1/4 of the height

1/4 * 17.76 = 4.432565789

The approximate height of the water is 4.43 inches

3 0
3 years ago
7. Jorge wants to ride his bicycle 31 miles this week. He has already ridden 13 miles. If he rides for
Irina18 [472]

Answer:

he has to ride 6 miles 1 once day

3 0
3 years ago
Anya’s team won 4 games out of every 9 games this season. If the team played 45 games, how many games did they win?
tiny-mole [99]

Answer:20

Step-by-step explanation:4:9

9x5=45

4x5=20

20:45

8 0
2 years ago
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