<em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>☝</em><em>☝</em><em>✌</em><em>✌</em><em>✌</em>
Answer:
a d and e
Step-by-step explanation:
none
Answer:
Step-by-step explanation:
26% is (26-20)/(50-20) = 6/30 = 1/5 of the way between 20% and 50%. That means 1/5 of the solution is 50% acid.
50% acid: 1/5 · 100 mL = 20 mL
20% acid: 100 mL -20 mL = 80 mL
Delbert must mix 80 mL of 20% acid and 20 mL of 50% acid.
_____
Maybe you'd like to see an equation. Let x represent the amount of 50% acid required. Then 100-x is the amount of 20% acid needed. The amount of acid in the mix is ...
0.50(x) +0.20(100 -x) = 0.26(100)
(0.50 -0.20)x = (0.26 -0.20)100 . . . . subtract 0.20(100)
x = (0.26 -0.20)/(0.50 -0.20)×100 = 20
This last expression should look a lot like the one we started with in this answer. It shows you how you can almost write down the answer to mixture problems without a lot of work.
Split up the interval [0, 3] into 6 subintervals,
[0, 1/2], [1/2, 1], [1, 3/2], [3/2, 2], [2, 5/2], [5/2, 3]
The right endpoints are given by the arithmetic sequence,
with 
.
We approximate the integral of 
on the interval [0, 3] by the Riemann sum,
Recall the formulas,
Then the value of the integral is approximately
Compare to the exact value of the integral, -9.
Answer:
-4
Step-by-step explanation:
y=mx+b
mx= slope
b= y-intercept
