Using the formulas for projectile motion, we can find the range of a projectile. Horizontal range of a projectile is (Vo^2(sin2angle))/g. For an initial velocity, Vo=42 ft/s and angle of 50 degrees, the horizontal range of the projectile is 53.95 ft. If the initial velocity is changed to Vo=84 ft/s, the horizontal range is 215.80 ft. This is 161. 85 feet farther from the first projectile.
Here's my thinking: If z<7, then z-7 is negative, and |z-7| is positive. So, with the understanding that z-7 is positive, the first part of this expression becomes:
7-z for z<7
Similarly: if z<7, then z-9 is negative and |z-9| is positive. Thus, -|z-9| is equivalent to (9-z).
<span>|z−7|−|z−9|, if z<7 becomes (7-z) - (9-z) for z<7. Simplifying this, we get:
</span>
7 - z - 9 + z = -2
Answer:
The simplified ratio is Ilya:Dan:Total = 7:5:12
The non-simplified total is 360, so the ratio would be x:y:360
12•30=360, so you must multiply the other parts of the ratio by 30 in order to find out x and y
7•30=210
5•30=150
So, the ratio is 210:150:360
Ilya had 210 hats, Dan had 150, for a total of 360.
210-150=60
Ilya had 60 more hats than Dan
<u>Scenario 1</u>
It is given that on Albert's favorite shoe website, the prices for a pair of the shoes range from $80 to $180 and the delivery fee is one-twentieth of the price of the basketball shoes.
We know that Albert has $105 to spend on new basketball shoes.
From the above pieces of information we see that the minimum that Albert will have to spend is 
dollars.
Now, we know that Albert can spend a maximum of $105 including the delivery fee. Let the upper limit of the price of the shoe Albert can buy be 
. So, the upper limit of the domain can be found as:
dollars.
Thus, in the first scenario, the domain of the total cost function, f(c) will be [86.67,96.92].
<u>Scenario 2</u>
After receiving $42 from his friend, Albert's total buying power becomes $147. Albert can now buy a costlier pair of shoes.
Thus, the maximum that Albert can buy is again given by:
Solving this we get: 
dollars
The lower limit will remain the same as the lowest price point in the website is $80. Therefore, in the second scenario the domain is:
[86.67, 135.69]
Answer:
C) -x²+9x²-27+27
<em><u>Hope</u></em><em><u> </u></em><em><u>it </u></em><em><u>helps</u></em>
:)
