Step-by-step explanation:
3×10^10 is the scientific notation of 30000000000
Hillary spent a total of 275 minutes studying for his Final.
What is unit conversion ?
When a unit conversion is performed, the same property is expressed in a different unit of measurement.
Here it is given that :
Hillary spent a total of 4 hours and 35 minutes studying for her Final
We known that :
1 hours equals 60 minutes
then,
4 hours and 35 minutes will be equals to = 4x60 + 35
= 240 + 35
= 275 minutes
Therefore, Hillary spent a total of 275 minutes studying for his Final.
Learn more on conversion of units here;
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13 because 1/4 times 4 is 4/4 with makes is a 1
And 3 times 4 is 12
1+12=13.
Answer:



Step-by-step explanation:

They wanted to complete the square so they took the thing in front of x and divided by 2 then squared. Whatever you add in, you must take out.

Now we are read to write that one part (the first three terms together) as a square:

I don't see this but what happens if we find a common denominator for those 2 terms after the square. (b/2a)^2=b^2/4a^2 so we need to multiply that one fraction by 4a/4a.

They put it in ( )

I'm going to go ahead and combine those fractions now:

I'm going to factor out a -1 in the second term ( the one in the second ( ) ):

Now I'm going to add (b^2-4ac)/(4a^2) on both sides:

I'm going to square root both sides to rid of the square on the x+b/(2a) part:


Now subtract b/(2a) on both sides:

Combine the fractions (they have the same denominator):

Answer:
Microscopes cost $44 and Dissection Kits cost $11
Step-by-step explanation:
Using the information given, we can make the system of equations:
30x+48y=1848
x represents the price of microscopes and y represents the price of dissection kits.
We also know that microscopes will be 4x the price of dissection kits. Therefor:
x=4y
We can plug these two equations together to find the answer.
30(4y)+48y=1848
120y+48y=1848
168y=1848
y=11
Using the y-value, can find the x-value.
x=4(11)
x=44