Answer:
a = 
Step-by-step explanation:
Given
ai + bj and 5i - 2j are perpendicular and b = 3, that is
ai + 3j and 5i - 2j are perpendicular, then
The scalar product = 0 , that is
5a - 6 = 0 ( add 6 to both sides )
5a = 6 ( divide both sides by 5 )
a = 
Answer:
7 is in the ten-thousands place.
Step-by-step explanation:
: Let y = f(x) = x^1/3
Then dy = 1/3*x^(−2/3) dx
Since f(64) = 4.
We take x = 64 and dx = ∆x = 1
This gives dy = 1/3*(64)^(−2/3)* (1) = 1/48
∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021 <span>
</span>
Answer:
17.5
Step-by-step explanation:
Given that:
20% apple juice drink is mixed with a 100% apple juice drink.

represents the concentration of apple juice in the drink when
gallons of 20% drink are added to 2 gallons of pure juice.
Also, given that 6 gallons of 20% drink are added to the 2 gallons of pure juice.
To find:
The concentration of apple juice in the drink = ?
Solution:
Given the function:

and


In percentage, the concentration 17.5.
.32 multiplied by 300 is 96