Answer:
After solving the compound inequality 
we get 
Option B is correct.
Step-by-step explanation:
We are given compound inequality:
We will first solve the inequalities to find the value of x, then will draw the graph.
So, after solving the compound inequality we get
Now, the number line will be as shown in figure.
The description as given in options is:
A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.
so, Option B is correct.
Answer:
derivative of the vector function given = ( -16-22t, 14-36t, -2-16t )
Step-by-step explanation:
given data:
vector function : r(t) = ta*(b+tc)
a = ( 2,-3.4) . b = (-4,5,-1). c = ( -2,-1,5)
to find the derivative of the vector function we will differentiate with respect to x attached below is the detailed solution
The answer is: 
The explanation is shown below:
1. Cynthia rounds the number, which is identified as 
, to one decimal place and the result is 6.3.
2. Based on this, we know that could have been between 6.25 and 6.35. Therefore, the error interval for is given by:
Where 
indicates that the value 6.25 is included and 
indicates that the value 6.35 is not included (Because if had been exactly 6.35, Cynthia would round up to 6.4).
The formula is Interest = principle times rate times time in years.
I=prt
p=1000
r= 0.025
t=x
To find the amount of interest that is earned in a specific time frame, subtract the final amount of money by the principal. 1500-1000=500.
500 = 1000(0.025)x
500 = 25x
x= 20 years
