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DIA [1.3K]
3 years ago
14

the faucet leaks water at a rate of 5^-5 litre per second. how many litres of water will leak from the faucet in 1 hour

Mathematics
1 answer:
Nana76 [90]3 years ago
8 0

Answer:

1.152 litres

Step-by-step explanation:

If the faucet leaks at a rate of 5^{-5} lt per second. And you have:

1 minute ---------- 60s

60 minutes (an hour) ------------60 x 60 = 3600s

The total water that will leak from the faucet is:

3600.5^{-5} = 1.152 litres

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An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $2690 and her st
Mrac [35]

Answer:

<h2> 14.7 %</h2>

Step-by-step explanation:

let us total the amount in her portfolio

Company A was worth $2690

Company B was worth $2980.

Total = $5670

when The stock in Company A decreases by 20%  she will have

$2690 *0.8=  $2152

Company A will worth $2152

when The stock in Company B decreases by 10%  she will have

$2980 *0.9=  $2682

Company A will worth  $2682

In all after the decline in are portfolio is $2152+$2682= $4834

the difference for the original amount in her investment is = $5670-$4834

= $836

The total percentage decrease in the investor's stock account

= (836/5670)*100= 0.147*100= 14.7 %

3 0
3 years ago
Find the slope of the line that passes through the pair of points (–1.75, 14.5) and (–1, 4.4). Round to the nearest hundredth if
Feliz [49]

For this case we have that by definition, the slope of a line is given by:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Two points are needed through which the line passes:

(x_ {1}, y_ {1}): (- 1.75; 14.5)\\(x_ {2}, y_ {2}}: (- 1; 4.4)

Substituting:m = \frac {4.4-14.5} {- 1 - (- 1.75)}\\m = \frac {-10.1} {0.75}\\m = -13.46666666

Rounding:

m = -13.47

Answer:

m = -13.47

5 0
3 years ago
Read 2 more answers
A jar contains 17 orange,7 pink, and 4 black marbles. A marble is drawn at random.What is the probability that the marble is pin
Grace [21]
Sample space = 17 + 7 + 4 = 28
P(pink) = 7/28
P(orange) = 17/28
P(pink or orange) = P(pink) + P(orange)
P(pink or orange) = 7/28 + 17/28
P(pink or orange) = 24/28
P(pink or orange) = 6/7 or 0.857143 or 85.7%
5 0
3 years ago
write a step by step proof. the givens are c is the midpoint of segment AB, and point c measures 10cm. prove AC=5cm plz help wil
Sliva [168]

Answer:

Step-by-step explanation:

GIRL! You should add diagrams to these types of questions. It would really help

That 10cm does not mean point C is 10cm. It means the line AB is 10 cm in total.

And since point C is the midpoint, which means that point C cuts the line AB in half, that makes AC = 5cm

4 0
3 years ago
Read 2 more answers
Solve 90x = 81+25x^2​
qwelly [4]

Answer:

1.8

Step-by-step explanation:

Solve for x

90

x

=

81

+

25

x

2

Subtract

25

x

2

from both sides of the equation.

90

x

−

25

x

2

=

81

Subtract

81

from both sides of the equation.

90

x

−

25

x

2

−

81

=

0

Factor the left side of the equation.

Tap for more steps...

−

(

5

x

−

9

)

2

=

0

Multiply each term in

−

(

5

x

−

9

)

2

=

0

by

−

1

Tap for more steps...

(

5

x

−

9

)

2

=

0

Set the

5

x

−

9

equal to

0

.

5

x

−

9

=

0

Solve for

x

.

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x

=

9

5

The result can be shown in multiple forms.

Exact Form:

x

=

9

5

Decimal Form:

x

=

1.8

Mixed Number Form:

x

=

1

4

5

Upgrade to

6 0
3 years ago
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