Answer:
7^x = 8
Step-by-step explanation:
log7 (8) =x
We know that loga (b) =c can be written as a^c =b
log7(8) =x becomes 7^x = 8
Step-by-step explanation:
1. if the number of pages in the 1st day is 'x', then the 2d day - 'x+10', the 3d day - 'x+20', the 4th day - 'x+30', the 5th day - 'x+40' and the last day - 'x+50' pages;
2. if the sum of all the pages is 300, then it is possible to make up the equation:
x+x+10+x+20+x+30+x+40+x+50=300;
3. x=25, it means:
1st day - 25;
2d day - 35;
3d day - 45;
4th day - 55;
5th day - 65;
6th day - 75 pages.
Answer:
Zero
Step-by-step explanation:
The distance AB is ...
... √((5-1)²+(5-2)²) = √(16+9) = 5
The largest right triangle that can be constructed with AB as the hypotenuse is one with an altitude of 5/2 = 2.5 units. Its area will be ...
... (1/2)·5·2.5 = 6.25 . . . . square units
It is not possible to construct the triangle ABC described.
_____
In order to achieve the given area, ∠C would need to be 87.75° or smaller. It could not be 90°.
Answer:
An old bone contains 80% of its original carbon-14 in 1844.6479 years
Step-by-step explanation:
We know that
half life time of C-14 is 5730 years
so, h=5730
now, we can use formula
we can plug back h
and we get
An old bone contains 80% of its original carbon-14
so,
P(t)=0.80Po
we can plug it and then we solve for t
So,
An old bone contains 80% of its original carbon-14 in 1844.6479 years
5. I thinks it’s mistake there and teacher meant 6y-5=59
6y=59+5
6y=64
y= 32/3
6.
7y=35-7
7y=28
y=4
