Answer:
z = (3/8)y - 11
Step-by-step explanation:
Undo what has been done to z, in reverse order. Here, 11 is added and the sum is multiplied by 8/3.
To undo the multiplication, multiply the equation by the inverse, 3/8:
(3/8)(8/3)(z+11) = (3/8)y
z +11 = (3/8)y . . . . . . . . . simplify
To undo the addition of 11, add the opposite of 11 to the equation.
z +11 -11 = (3/8)y -11
z = (3/8)y -11 . . . . . . . . . simplify
Answer:
b = ∛16 ≈ 2.520
Step-by-step explanation:
The area bounded by y=x^2 and y=b is given by the integral ...

For b = 4,
A(4) = (4/3)4^(3/2) = 32/3
We want to find b such that the area is half that, or ...
A(b) = (1/2)(32/3) = 16/3
So, we're solving the equation ...
16/3 = 4/3b^(3/2)
4 = b^(3/2) . . . . . . . . . . . . . . multiply by 3/4
4^(2/3) = b = ∛16 . . . . . . . . raise to the 3/2 power
Answer: 6 to 1, 6: 1 or 
Explanation:
In mathematics, the purpose of a ratio is to compare the quantity or values of two different items. For example, if in a recipe 1 spoon of sugar needs to be added for every 3 spoons of water the ratio of spoons of sugar to water is 1 to 3.
In this context, the first step is to find the values of the two items compared. In the case presented these items are the eyes in a spider vs the number of spiders. Also, it is known each spider has 6 eyes. This means the ratio of eyes to spides is 6 to 1, which means for each 6 eyes there is 1 spider. Moreover, this ratio can be written as 6 to 1, using a colon as 6: 1, or as a fraction
.
Answer:
875
Step-by-step explanation: