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tekilochka [14]

3 years ago

15

How to factorise

TexFormula1" title=" {8x}^{2} - xy - {7y}^{2} " alt=" {8x}^{2} - xy - {7y}^{2} " align="absmiddle" class="latex-formula">

1 answer:

kenny6666 [7]3 years ago

4 0

(8x+7y)(x-y) is the answer.

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In a sewage treatment plant, a large concrete tank initially contains 440,000 liters of liquid and 10,000 kg of fine suspended s

viva [34]

Answer:

$Concentration = 8.26kg/m^3$

Step-by-step explanation:

Given

$V = 440000L$ --- volume of tank

$m = 10,000 kg$ --- solid mass

$r = 40000L/hr$ --- outflow rate

Required

Determine the concentration at the end of 4 hours

First, calculate the amount of liquid that has been replaced at the end of the 4 hours.

$Amount = r * Time$

$Amount = 40000L/hr * 4hr$

$Amount = 40000L * 4$

$Amount = 160000L$

This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced

Calculate the ratio of the liquid replaced.

$Ratio = \frac{Amount}{Volume}$

$Ratio = \frac{160000L}{440000L}$

$Ratio = \frac{16}{44}$

$Ratio = \frac{4}{11}$

Next, calculate the amount of solid left.

$Amount (Solid)= Ratio * m$

$Amount (Solid)= \frac{4}{11} * 10000kg$

$Amount (Solid)= \frac{40000}{11}kg$

$Amount (Solid)= 3636kg$

Lastly, the concentration is calculated as:

$Concentration = \frac{Amount (Solid)}{Volume}$

$Concentration = \frac{3636kg}{440000L}$

Convert L to cubic meters

$Concentration = \frac{3636kg}{440000* 0.001m^3}$

$Concentration = \frac{3636kg}{440m^3}$

$Concentration = 8.26kg/m^3$

3 0

2 years ago

if 1/3 of a can of frosting covers 1/6 of the top of the birthday cake how much frosting is needed to cover the entire top of th

ra1l [238]

2 cans
Hope it Helped!!!

6 0

3 years ago

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Solve x^2-8x+14=2x+7

LuckyWell [14K]

Answer:

Step-by-step explanation:

x²-8x+ 14 =2x+7

x² - 8x +14 - 2x - 7 = 0

x² - 10x + 7 = 0

5 0

3 years ago

In 2020, there were about 260 million gas powered cars on the road. This number isexpected to decrease at a rate of 1.1% per yea

Amanda [17]

This is an equation of exponential decay

y(t) = a b^ t where a is the initial amount

b is the decay factor

t is the time in years

b is found by taking 1 and subtracting the percent it decreases in decimal form

Letting t =4

y(t) = 260 million * ( 1- .011) ^ 4

=248.7473796 million

=24874737.96

Rounding to a whole number

= 24874738

6 0

1 year ago

What is the sum of the 9th square number and the 3rd cube number?

Lesechka [4]

The sum of the 9th square number and 3rd cube number is 108

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2 years ago

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