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shepuryov [24]
3 years ago
5

Rounded to the thousands place :) thank you!! 5e^3x – 4 = 31

Mathematics
1 answer:
Lerok [7]3 years ago
7 0

Step-by-step explanation:

Add 4 to both sides: 5e^3x = 35, or

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A cubed-shaped box has its side lengths decreased by 3 cm, when this happens, the volume decreases by 1385cm^3. What is the side
mixer [17]

Answer:

Step-by-step explanation:

let side of cube=x cm

volume=x³ cm³

again side=(x-3) cm

volume=(x-3)³ cm³

x³-(x-3)³=1385

(a³-b³)=(a-b)(a²+ab+b²)

(x-x+3){x²+x(x-3)+(x-3)²}=1385

3(x^2+x²-3x+x²-6x+9)=1385

3(3x²-9x+9)=1385

9x²-27x+27=1385

9x²-27x+27-1385=0

9x²-27x-1358=0

x=\frac{27\pm\sqrt{(-27)^2-4*9*(-1358)} }{2*9} \\x=\frac{27\pm\sqrt{729+48888} }{18} \\or~x=\frac{27\pm\sqrt{49617} }{18} \\or~x=\frac{27\pm 222.749}{18} \\taking positive side only as negative sign gives negative length.\\or~x=\frac{27+222.749}{18} \\or~x\approx13.87

3 0
3 years ago
a hose fills a hot tub at a rate of 4.97 gallons per minute. How many hours will it take to fill a 336-gallon hot tub?​
Eddi Din [679]

Answer:

1.12675hours approximately

Step-by-step explanation:

If the tub was 4.97 gallons it would take 1 minute Right?

To find the the time required to fill the tub divide volume of tub by the rate of hose. We have 336/4.97=67.605minutes

Divide by 60` 67.605/60=1.12675hours approximately

6 0
3 years ago
patrick had 144 coins in his collection of nickels and quarters. If the coins have a total value of $20, how many are nickels an
yuradex [85]

Answer:

30

Step-by-step explanation:

4 0
2 years ago
WHOEVER GETS IT RIGHT AND ANSWERS FIRST GETS BRAINLIEST!
JulsSmile [24]

Answer:

2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Show work plz
Mazyrski [523]
So first we need to get rid of that naughty sales tax so we need to divide 30.45 by 1.05 since 30.45 is 105% of the pre-tax price. We get the answer of 29 and subtract 12 from 29 since the long fleece socks cost 12 bucks and we get 17 dollars. Since there are 2 pairs of regular songs we divide 17 by 2 and get 8.5

So the regular socks cost $8.50

Checking work 8.5*2=17
12+17=29
1.05*29=30.45

If u need more help feel free to ask me
3 0
3 years ago
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