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Vlad [161]
3 years ago
6

A pool 8ft wide and 25ft long was being filled with water.At 10:00 a.M the depth of the water was 2ft, at 3:00 p.M it was 5ft, h

ow full will it be at 10:00 a.M

Mathematics
1 answer:
spin [16.1K]3 years ago
5 0

Answer:

  2 ft   or   16.4 ft

Step-by-step explanation:

The problem statement tells you the pool is 2 ft deep at 10:00 am.

__

The depth changes 3 ft in the 5 hours between 10 am and 3 pm, so is changing at the rate of 3/5 ft/hour. In 24 hours, it will change (3/5)(24) = 14.4 ft. Added to the 2 feet of depth at 10 am, the depth at the next instance of 10 am will be 16.4 ft.

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Use the grouping method to factor the polynomial below completely 3x^3+9x^2+5x+15​
Tomtit [17]

Answer:

(x+3)( 3x^2 +5)

Step-by-step explanation:

3x^3+9x^2+5x+15​

Split into two groups

3x^3+9x^2     +5x+15​

Factor 3x^2 out of the  first group and 5 out of the second group

3x^2 ( x+3)  + 5(x+3)

Factor out x+3

(x+3)( 3x^2 +5)

6 0
3 years ago
Nancy's morning routine involves getting dressed, eating breakfast, making her bed, and driving to work. Nancy spends ⅓ of the t
devlian [24]

Answer: 26 minutes

Step-by-step explanation:

Assume that the total time spent in the morning which includes getting dressed, eating breakfast, making her bed, and driving to work is x.

Time getting dressed = ¹/₃x

Eating breakfast = 10 mins

Making bed = 5 mins

¹/₃x + 10 + 5 = 35 ½

¹/₃x + 15 = 35 ½

¹/₃x = 35 ½ - 15

¹/₃x = 20 ½

x = 20 ½ / ¹/₃

= 61.5 minutes

Total morning routine is is 61.5 mins

Time taken to drive to work is;

= 61.5 - 35 ½

= 26 minutes

8 0
3 years ago
Could you explain why the answer 125 was supposed to be negative while my answer 81 was correct?
hichkok12 [17]

Answer:

Step-by-step explanation:

Realize what (-5)^3 means

(-5)(-5)(-5)

25(-5)

-125

meanwhile

(-9)^2 is

(-9)(-9)

81

Basically a negative times a negative is always positive, but when a negative number is cubed (or raised to any odd exponent for that matter) the product will be negative.

5 0
3 years ago
What is 6,345 rounded to the nearest thousand?
dalvyx [7]
If it's to the thousands it's 6,000
8 0
3 years ago
Read 2 more answers
You are filling up a cylindrical tank with a radius of 5m with water at a rate of 3 cm^3/min. Unbeknownst to you the tank has a
Umnica [9.8K]

Answer:

dh/dt = 3/25π m/min

Step-by-step explanation:

Radius = 5m

Rate (dV/dt) = 3 cm^3 / min

Leaking rate = 1 cm^3 / min

Volume = πr^2h

Volume = π(5)^2h

V= 25πh

Differentiate volume implicitly with respect to time

dV/dt = 3 cm^3/min

3 = 25π(dh/dt)

dh/dt = 3 m^3/min /25πm^2

dh/dt = 3/25πm/min

8 0
3 years ago
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