Answer:
The value of x nearest to thousandths is, 74.207
Step-by-step explanation:
Solve : 
represents the logarithmic function with base e.
Using logarithmic properties:
, then 

Apply the logarithmic properties; we have

then;

or

Divide both sides by 2 we get;

Therefore, the value of x nearest to thousandths is, 74.207
The horizontal distance is given by the formula:
tan θ=opposite/adjacent
where:
θ=21
opposite=2000 ft
adjacent=a
thus calculating for a we get:
tan 21=2000/a
thus
a=2000/tan 21
a=5210.18 ft
Answer: 5210.18 ft
The given expression is:
(x/2) + 5
Let's look at each terms separately:
x/2 means that you you're getting half the value of a number
+5 means that you are adding 5
Combining both, you can conclude that you are adding 5 to half a certain given number.
Comparing this with the choices, the correct choice would be:
C. five more than half a number.
<span> Just plug in the value of b=3 in 4b^4, then you solve it, and your answer is 324</span>
Answer:
4 hours
Step-by-step explanation:
If the circumference of the circular garden =63 yards
Circumference of a Circle =2πr=πd (d=diameter)
Therefore:
πd= 63
diameter of the circular garden =63/3.14=20 yards
If he digs at a rate of 5 yards per hour, the time required to dig across the garden will be:
20 yards/5 yard per hours = 4 hours
It will take him 4 hours to dig across the circular garden.