Answer:
1) x=0.465
2) option A.
Step-by-step explanation:
1) The given equation is:
We rewrite this as logarithm to get:
The change of base formula is:
We apply the change of base formula on the RHS to get:
Group similar terms:
2)
From the graph, the logarithmic function approaches negative infinity as x approaches -6.
Therefore the vertical asymptote is x=-6
The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.
The correct answer is A.
In this problem, we have to find the factor which will
make (1 / 10) equal to (2 / 5). Therefore we can write it as:
x (1 / 10) = 2 / 5
where x is the number of people who ate the blueberries
x = (2 / 5) / (1 / 10)
x = 4
<span>Therefore 4 people ate the blueberries.</span>
Answer:
1 1/2 miles
Step-by-step explanation:
3 3/4 - 2 1/4..
3/4 - 1/4 = 2/4=1/2
3-2= 1
1+1/2=1 1/2 miles
Area of square = 24cm²
⇒ Length = √24
Find the diagonal of half the square:
a² + b² = c²
c² = (0.5√24)² + (√24)²
c² = 6 + 24
c² = 30
c = √30
The diagonal of half of the square is the radius of the circle.
⇒ radius = √30
Area of the semicircle = 1/2πr² = 1/2π(√30)² =15π
Answer: 15π²
