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1 year ago

Express this number in scientific notation: 0.0002077

Mathematics

2 answers:

RSB [31]1 year ago

7 0

Given the number:

0.0002077

Let's express in scientific notation.

To express the number in scientific notation, move the decimal point so that there is only one non-zero number to the left of the decimal point.

Then, the number of decimal places you move will be the exponent on 10.

If the decimal point is moved to the right, the exponent will be negative.

If the decimal pointt is moved to the left, the exponent will be positive.

In this case the decimal point will be moved to the right.

Using this description, we have the scientific notation below:

$undefined$

Troyanec [42]1 year ago

6 0

Answer:

2.077 x $10^{-4}$

Step-by-step explanation:

First, move the decimal place until we have a single digit between 1 and 10 to the left of the decimal point. In this problem, if we keep moving the decimal point to the right in 0.0002077 we will get 2.077.

Next, count how many places we moved the decimal point. If we have to move the decimal place to the right, the exponent will be negative. If we had moved the decimal place to the left, the exponent would be positive. In this case we had to move it 4 places to the right to change 0002077 to 2.077. We show that we moved it 4 places to the right by noting that the number should be multiplied by $10^{-4}$ .

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3 years ago

Read 2 more answers

Given the demand equation 6x+p-50=0 and the supply equation 6x-p+14=0 where p is the unit price in dollars and x represents the

Katarina [22]

Answer:

The equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.

Step-by-step explanation:

Market equilibrium occurs in those markets in which the quantity demanded by consumers equals the quantity supplied by firms. In this state, the equilibrium point has its corresponding equilibrium quantity and price. That is, the equilibrium point is that point where, for a given price, the quantity supplied is equal to the quantity demanded.

The supply and demand curves represent the quantities that consumers are willing to buy and producers are willing to sell at that price respectively.

Being:

demand equation: 6x+p-50=0 ⇒ 6x= 50 - p ⇒ $x=\frac{50 - p}{6}$

the supply equation 6x-p+14=0 ⇒ 6x= p - 14 ⇒ $x=\frac{p-14}{6}$

Since when the market reaches equilibrium, the quantity demanded equals the quantity supplied and x representing the quantity demanded in units of thousand, then:

$\frac{50 - p}{6}=\frac{p-14}{6}$

Solving, you get:

$6*\frac{50 - p}{6}=p-14$

50 - p= p -14

50 - p +14 = p

50 +14= p + p

64= 2*p

$p=\frac{64}{2}$

P=32 dollars

This value is the equilibrium price. Replacing this value in the demand and supply equation, the equilibrium quantity is obtained, which should be the same for both cases:

demand equation: $x=\frac{50 - 32}{6}$ ⇒ x= 3 Thousand units

the supply equation $x=\frac{32-14}{6}$ ⇒ x=3 Thousand units

So, the equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.

In its graphical representation, the equilibrium point can be seen as that point where the supply and demand curves intersect. You can see this in the attached image, where the blue line represents the supply and the red line the demand.