Answer:
b. both functions have a negative slope
Step-by-step explanation:
The given function is

This function is of the form
, where
is the slope and
is the y-intercept.
We can also determine the slope of the function in the table using any two points, say
.
The slope formula is given by,
.
If
, then,

.
We can see that both functions have a negative slope.
The correct answer is B.
Step-by-step explanation:
4.
⇒ 
⇒ 
⇒ 
⇒ 
5.
⇒ 
⇒ 
As we know the radius and slant height, we can use Pythagoras' Theorem to find the perpendicular height.
⇒ 
⇒ 
⇒ 
⇒ 
Now substitute this into the volume formula.
⇒ 
⇒ 
⇒ 
6.
⇒ 
⇒ 
⇒ 
7.
⇒ 
⇒ 
⇒ 
<span> x = 5/6 = 0.833.................</span>
Diagram:
M------------O-------------N
................. ^ midpoint
Obviously if O is the *mid*point, then it is exactly halfway between M and N. That also means it has bisected the segment into two equal parts.
On one side you have MO (or OM, if you like)
On the other side you have ON.
In order for O to be the midpoint:
ON = OM
Answer: 1. 3801
Step-by-step explanation:
Log 24 = Log(8x3)
From the laws of Logarithm
Log ( a xb) = Log a + Log b
so, Log (8x3) = Log8 + Log 3
Also Log 8 can be written as Log
since
is still 8 , so the expression becomes
Log
+ Log 3
⇒ 3 Log 2 + Log 3
since the value of Log 2 and Log 3 has been given , substitute into the expression , we have
3 (0.3010) + 0.4771
= 0.903 + 0.4771
= 1.3801