The equivalent expression is 5^(4) * 3^(-10)
<h3>How to determine the equivalent expression?</h3>
The statement is given as:
five raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power
Rewrite properly as:
(5^-2 * 3^5)^-2
Expand the expression by multiplying the exponents
So, we have:
5^(-2 -2) * 3^(5 *-2)
Evaluate the products
5^(4) * 3^(-10)
Hence, the equivalent expression is 5^(4) * 3^(-10)
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D. None. Say the obtuse angle is 100 degrees. Since the sum of all angles in a triangle cannot be bigger than 180, it's not possible because 195 (100+95) is greater than 180 degrees. Hope this helps.
Answer:
the price of good x in 1999 dollars is 370.89 dollars
Step-by-step explanation:
Given that good x sold for $40 in 1945. the Cpi in 1945 was 18.0 and the cpi in 1999 was 166.6.
We have cpi and sale price have direct variation
In other words S = kC where C = CPi and S = sales price
In 1945, 40 = 18k or K = 20/9
Using this we can say
Sales price in 1999 would be k (166.6)
=
the price of good x in 1999 dollars is 370.89 dollars
Mixture problem.
Ratio of 20% : 50% acids
=50-39 : 39-20
=11:19
total volume
=400L
vol. of 20% acid=400*(11/(11+19)=400*(11/30)=146.667 L
vol. of 50% acid=400*(19/(11+19)=253.333 L
Alternatively, use c=volume of 20%, d=vol of 50%
then
0.2c+0.5d=400*0.39
Since c+d=400, we have
0.2c+0.5(400-c)=400*0.39=156
solve for c:
0.3c=44
c=146.667 and d=400-c=253.333 as before.