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EleoNora [17]
3 years ago
12

13xy-8

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0
<span> A negative power means the quantity is in the denominator of a fraction.

(2) to the -1 power means 1/2

6 to the -3 power means 1/(6 to the 3 power).

13xy to the -8 power means 1 / (13xy to the 8 power)</span>

That's something like  1 / [ (13 to the 8 power) (x to the 8 power) (y to the 8 power) ]
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Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank contains 19140 L at 4:47 PM and 809
Sladkaya [172]

Answer:

The liters that the tank will contain at 5:11 PM that day are:

  • <u>4416 Liters</u>.

Step-by-step explanation:

Firstly, you must identify the outlet flow of the water pumped from the tank, for this, you must subtract the last volume given from the first volume:

  • 19,140 L - 8,097 L = 11,043 L

And the minutes that passed from the first volume until the last volume given (18 minutes from 4:47 PM to 5:05 PM), so, you must divide that two values to obtain the outlet flow:

  • Outlet flow = \frac{Volume}{Time}
  • Outlet flow = \frac{11,043 L}{18 min}
  • Outlet flow = 613.5 \frac{L}{min}

Now, you must see the next hour given (5:11 PM), if you see, from 5:05 PM to 5:11 PM has passed 6 minutes, taking into account this, you replace the equation of outlet flow to clear the volume:

  • Outlet flow = \frac{Volume}{Time}
  • Volume = Outlet flow * time

And replace the values to obtain the new volume pumped:

  • Volume = 613.5 \frac{L}{min} * 6 min
  • Volume = 3681 L.

At last, you must subtract these liters from the last volume identified in the tank:

  • New Volume in the tank = 8097 L - 3681 L
  • New Volume in the tank = 4416 L

The volume in the tank at 5:11 PM is <u>4416 Liters</u>.

5 0
3 years ago
Calculate the total surface area of 20cm long 10 cm wide and 5 cm high box
stiv31 [10]

Answer:

Given

Edge of a cube = 10cm

Length, l = 12.5 cm

Breadth, b = 10cm

Height, h = 8 cm

Find out

We have to find

i) Which box has the greater lateral surface area and by how much?

ii) Which box has the smaller total surface area and by how much?

Solution

(i)

Lateral surface area of a cube = 4 * (edge)2

= 4 * 102 cm2

= 400 cm2

Lateral surface area of a cuboid = 2 (lh + bh)

= 2 (12.5 * 8 + 10 * 8) cm2

= 2 (100 + 80) cm2

= 360 cm2

So, the lateral surface area of the cubical box is greater than cuboidal box by (400 cm2 – 360 cm2) which is 40 cm2.

(ii)

Total surface area of a cube = 6 * (edge)2

= 6 * 102 cm2

= 600 cm2

Total surface area of cuboid = 2 (lb + bh + lh)

= 2 (12.5 * 10 + 10 * 8 + 12.5 * 8) cm2

= 2 (125 + 80 + 100) cm2

= 610 cm2

Therefore, the total surface area of the cuboidal box is greater than the cubical box by (610 cm2 – 600 cm2) which is 10 cm2.

8 0
3 years ago
Read 2 more answers
A basketball team averaged 105 points per game how many points did the team score in 6 games
Jobisdone [24]
6 * 105 = 630

the team scored approximately 630 points in 6 games.
8 0
3 years ago
Can someone help me with this?
Rainbow [258]
The better deal would be customer A’s 8% discount. Because they get 6 dollars off their original $75 transit.

The difference in dollar amounts is $6-$4.25= $1.75
8 0
3 years ago
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The amount of gasoline remaining in the tank decreases with mileage driven. Identify the independent and dependent quantity in t
Alinara [238K]
I think the independent quantity would be the mileage driven and the dependent variable, the <span>amount of gasoline remaining
</span>
5 0
3 years ago
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