The parentheses of the expression (-2+2w+4w)(-7) is removed using the distributive property and the resultant expression is -14-42w.
<h3>What is distributive property?</h3>
The distributive property says that the product of a number and sum of two numbers is equal to the addition of the product of that number with the individual number of the sum.
c×(a+b)=ac+ab
The given expression in the problem is,
(-2+2w+4w)(-7)
Now, use the distributive property to remove the parentheses as,
(-2+2w+4w)(-7)
-2×-7+2w×-7+4w×-7
-14-14w-28w
-14-42w
Hence, the parentheses of the expression (-2+2w+4w)(-7) is removed using the distributive property and the resultant expression is -14-42w.
Learn more about the distributive property here;
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The coefficient in (4x-2) is the -2
.725 , .572 , .275, .2
You look at the first decimal place to see which is the greatest. 7 is greater than 5 and 2 so it's first. Then 5 is greater than 2 so it is next. For the last two numbers since 2 is the same value you look at the next decimal place. Since 7 is greater than 0 it comes next!
Let
represent the depth of the miner and equipments elevator, respectively. We know that equipment elevator descends with a velocity of
feet per second, and the miners one descends with a velocity of
feet per second.
If we start counting time (
) when the equipment elevator begins to descend, after
seconds its depth will be

On the other hand, the miner elevator follows the same rule, but we have to use its velocity, and remember that it starts with a delay of thirty seconds:

Now, we have to wait the 30 seconds of delay, and then another 14 seconds. This means that we want to know the positions of both elevators when
. Let's plug this value into the two equations:


So, the equipment elevator is 176 feet deep, and the miner elevator is 210 feet deep, and thus this is the deeper one.