Answer:
Step-by-step explanation:
In choices a and b, the bases are positive numbers greater than 1, and so these are growth functions. In c and d, the bases are between 0 and 1, and thus these are decay functions.
In the second problem we have 3ln(x + 1). Rewrite this as ln(x + 1)^3.
We also have 9ln(x - 4). Rewrite this as ln(x - 4)^9.
Because of the + sign connecting ln(x + 1)^3 and ln(x - 4)^9, these two logs combine to form
ln [ (x + 1)^3 ] * (x - 4)^9 (the log of a product).
Now we have:
ln [ (x + 1)^3 ] * (x - 4)^9 - 4ln(x + 7), or:
[ (x + 1)^3 ] * (x - 4)^9
ln ------------------------------------
(x + 7)^9
Answer:
EG = 16 and FH =22
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other
so 2a = 3b+2
and 2a+3 = 6b-1
We know have a system of equations to solve
2a = 3b+2
2a+3 = 6b-1
Subtract 3 from each side
2a+3-3 = 6b-1-3
2a = 6b -4
Now we can set the 2 equations equal ( 2a = 3b+2 and 2a = 6b -4)
3b+2 = 6b-4
Subtract 3b from each side
3b-3b+2 = 6b-3b-4
2 = 3b-4
Add 4 to each side
2+4 = 3b-4+4
6 = 3b
Divide by 3
6/3 = 3b/3
2 =b
We want to find a
2a = 3b+2
Substitute in b=2
2a = 3(2) + 2
2a = 6+2
2a =8
Divide by 2
2a/2 =8/2
a = 4
Now that we know a and b
EG = 2a + 3b+2
= 2(4) + 3(2)+2
= 8+6+2
= 16
FH = 2a+3 + 6b-1
= 2(4) +3 +6(2)-1
= 8+3+12-1
= 23-1
= 22
Answer:
x=π/2 ,3π/2
Step-by-step explanation:
cot x(csc x+1)=0
either cot x=0
tanx=∞=tan (π/2)
x=π/2
or csc x=-1
or sin x=-1=-sin (π/2)=sin (π+π/2)=sin (3π/2)
x=3π/2
Answer:
Step-by-step explanation:
The radius of a circle is always half the radius.
Thus, in this case, the radius is (1/2)(34 in) = 17 in.
The "how far" question is answerable by finding the circumference of the wheel. The circumference, C, is found by calculating C = πd, where d is the diameter of the circle in question.
Here, C = (34 in)π, which comes out to 106.81 inches. The bike will move 106.81 inches forward if the wheel turns once.
If the wheel turns 5 times, the total distance traveled is 5 times the circumference, or 5(106.81 in) = 534.07 in.
Answer:
£23
Explanation:
6x10=60
2x1.5=3
3.14x2^2=12.566
60-3-12.566=44.433
44.43/10=4.43
5 bags
5x4.60=23
=£23
