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3 years ago

How much water will be needed to completely fill a rectangular tank that has a length of 3 meters a width of 3 meters

Mathematics

1 answer:

IgorC [24]3 years ago

8 0

Answer:

Step-by-step explanation:

because when you multiply 3x3 (the base) times 18(the height) you get= 162

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I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

3 years ago

99 is 72% of what number?

icang [17]

I’m not really sure but I think the answer is 137.50.

8 0

3 years ago

Read 2 more answers

A coin is flipped twice. What is the probability that the coin will land on tails on the first flip and will land on tails again

bixtya [17]

Answer:

1/4=0.25=25%

Step-by-step explanation:

A coin has two sides, heads and tails, and if you take 100% divided by two you get 50, you want to know what is the probability it will land on tails TWICE so divide 50 by two and you get 25.

1/2=50

1/4=25

0.25 x 100= 25%

hope that helps

5 0

3 years ago

Read 2 more answers

7.5t = ? kg what is t here and also the answer of it

Nataliya [291]

Answer:

7500 kg

Step-by-step explanation:

t = tonnes

$\because \: 1 \: t = 1000 \: kg \\ \therefore \: 7.5 \: t = 7.5 \times 1000 = 7500 \: kg$

5 0

4 years ago

Read 2 more answers

Write y = 2x + 3 using function notation

Darya [45]

F(x) = 2x + 3 i think would be the best way to write it

8 0

4 years ago