Answer:
a=9.641, b=11.49
Vector will be 9.641 i + 11.49 j
Step-by-step explanation:
We have given that vector V has the magnitude of 15
And it makes an angle of 50
with positive x axis
Now let the x component of vector V is a and y component of vector V is b
So 
In vector form 9.641 i+11.49 j
Given function is
now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into
so RHD= 
Now set both equal
k=-0.47
<u>Hence final answer is -0.47.</u>
Answer:
330=40x+50
Step-by-step explanation:
then you would -50 from both sides
280=40x
then you would divide both sides by 40 to isolate x
7=x
so that means it would take 7 weeks
Answer:
First member-> 1 -> "1 one"
Second member-> 11 -> "2 ones"
Third member-> 21 -> "1 two, 1 one"
Fourth member -> 1211 -> "1ones, 1 two, 2 ones"
Fifth member-> 111221 -> "3 ones, 2 twos, 1 ones"
Sixth member-> 312211 -> "1three, 1 one, 2 twos, 2 ones"
Seventh member-> 13112221 ->" 1 one, 1 three, 2 ones, 3 twos, 1 one"
Step-by-step explanation:
200,000 = 158,000(1.06)^x
Divide both sides by 158,000
1.2658 = 1.06^x
Take the log of both sides and use the power rule to bring down the exponent (x) to the front.
log 1.2658 = x log 1.06
Divide both sides by log 1.06
log (1.2658)/log(1.06) = x
x = 4 years
CHECK
y = 158,000(1.06)^4
y = 199,471.36
