Answer:
1000
Step-by-step explanation:
To find the value of a digit in a number, set all the other digits to zero.
The value of 7 in 7042 is 7000.
The value of 7 in 427 is 007 = 7.
Then the question is "how many times larger is 7000 than 7?" That result is found by dividing 7000 by 7:
7000/7 = 1000
The 7 in 7042 is 1000 times larger than the 7 in 427.
_____
<em>Another way to consider this</em>
The 7 in 7042 is in the "thousands" place. The 7 in 427 is in the "ones" place. The thousands place is 3 places to the left of the ones place. Each place moved to the left increases the value by a factor of 10, so the value of a digit in the thousands place is 10×10×10 = 1000 times that of the same digit in the ones place.
Answer:
12√2.
Step-by-step explanation:
You can do this by the Pythagoras theorem:
20^2 = x^2 + (4sqrt7)^2 where x is the distance required.
x^2 = 20^2 - (4sqrt7)^2
= 400 - 112
= 288
x = √288
= √144 *√2
= 12√2.
Answer:
0<=x<10 or [1,10)
Step-by-step explanation:
You need to solve this using logarithms. I will use natural logarithms (LN on your calculator)
15,000 is the initial price of the car because 0.88^0=1.
All we need is 0.88^x>0.1
Remember that the logarithm of a^b is b*LN(a).
x*LN(0.88)>LN(0.1)
x<LN(0.1)/LN(0.88)
The relation changes from > to < because we are dividing by LN(0.88) which is negative.
The calculator now yields
LN(0.1)/LN(0.88)=10
So, x<10 years. But you buy the car at x=0, hence the relevant domain is.
0<=x<10 or [1,10)
“FG¯¯¯¯¯” refers to segment FG, where points F
and G are the endpoints. A segment is a part of a line which consists of two
points (which are called the endpoints) and the set of all points between them.
Therefore, segment FG is described as <span>the set of all points
between points F and G, including point F and point G (which are the endpoints).</span>
