98 PTS! Can someone please help?

Mathematics

2 answers:

padilas [110]3 years ago

5 0

Answer: -22

Step-by-step explanation:

In the first question, we can simplify 2√8 to 4√2, making it :

(√10 + 4√2)(√10 - 4√2)

When you FOIL, √10(√10) = 10, and 4√2 * -4√2 = -32. The others cancel each other out. So -32 + 10 = -22.

Xelga [282]3 years ago

5 0

Answer:

1. -22

Step-by-step explanation:

1. There is a special property that we can use. It's a^2-b^2=(a+b)(a-b).

In this case, your a value is sqrt(10) and your b value is 2 sqrt(8).

Thus, (sqrt10 + 2sqrt(8))(sqrt10 - 2sqrt(8)) = sqrt10^2 - 2sqrt(8)^2 = 10 - 32 = -22.

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Suppose that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water

Setler79 [48]

Answer:

Step-by-step explanation:

Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.

Let Q(t) be the quantity of salt at time t.

Q(0) = 70 pounds

Inflow of water = outflow = 4 gal/min

So resulting volume of tank at time t = 400 gallons

Rate of change of salt = inflow - outflow

= 0 - $\frac{Q(t)}{400}$