Answer:

Step-by-step explanation:
Given

Required
Determine the roots
To get the root of the function, then f(b) must be 0;
i.e. f(b) = 0
So, the expression becomes

Add 75 to both sides


Take square roots of both sides


Reorder

Expand 75 as a product of 25 and 3

Split the expression




The options are not clear enough; however the roots of the equation are 
Answer:
5/18 or about 0.28
Step-by-step explanation:
5 + 2 + 6 + 5 = 18
5/18 or about 0.28
Answer:
2.04 seconds
Step-by-step explanation:
Falling objects near the surface of the earth have an acceleration of -9.81 m/s².
Acceleration is the change in velocity over change in time:
a = (v − v₀) / t
-9.81 = (-30.0 − (-10.0)) / t
-9.81 = -20.0 / t
t = 2.04
It takes 2.04 seconds.
Answer:

Step-by-step explanation:
We are given the temperature inside the machine from startup until 10 seconds later, the formula is:

We want to know at what time t the temperature inside the machine will be equal to 128 °C.
So we set:


Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side

and we simplify:


now it's easy to solve for t:

And thus we arrive to the solution.
Answer:

Step-by-step explanation:
Given that,
Vector n = 4i-j
Vector m = 3i+3j
We need to find the value of m+2n.
Put all the values,
m+2n = (3i+3j)+2(4i-j)
= (3i+3j)+8i-2j
=11i+j
Magnitude of vector,

So the correct option is (c).