Answer:
See Explanation
Explanation:
Solving (4): 0.84554 as a fraction
The above number is to 5 decimal places, so the fraction equivalent is:
Divide numerator and denominator by 2
Solving (5):
The midpoint, M is calculated as follows:
Where
The distance, D is calculated using:
Solving (1): The expression for f(x) is not clear. So, I'll make use of:
Substitute each value of the domain in
The range is:
Solving (2):
Shape: Open Cylinder
The surface area is calculated as:
Solving (3):
The value of a is not clear. So, I'll assume that a is a
Given that
Find
Substitute 3a for b
Absolute value of 4a is 4a. So,
Solving (9):
Given
--- Principal
--- Rate
--- Time in years
The amount (A) is calculated as follows:
Hence, the amount at the end of 2 years is:
Answer:
54,450,000,000 Joules
Explanation:
Kinetic Energy =
x x = 54,450,000,000 Joules
Answer:
Explanation:
from snells law
sin(i)/sin(r) = refractive index
r = 90°
sin(i) = sin90°x 1.6
sin(i) = 1 x 1.6
angle of incidence = arcsin(1.6)
since sin90° = 1
hence,
angle of incidence = 36.86°
Answer:
A. 1.71 m
B. 2.66 m
Explanation:
A. Determination of the height of the pier.
We'll begin by calculating the time taken for the ball to get to the water
This can be obtained as follow:
Horizontal velocity (u) = 1.27 m/s,
Horizontal distance (s) = 0.75 m
Time (t) =?
s = ut
0.75 = 1.27 × t
Divide both side by 1.27
t = 0.75 / 1.27
t = 0.59 s
Finally, we shall determine the height of the pier as follow:
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) = 0.59 s
Height of pier (h) =?
h = ½gt²
h = ½ × 9.8 × 0.59²
h = 4.9 × 0.3481
h = 1.71 m
Thus, the height of the pier is 1.71 m
B. Determination of the horizontal distance.
Horizontal velocity (u) = 4.50 m/s
Time (t) = 0.59 s
Horizontal distance (s) =?
s = ut
s = 4.5 × 0.59
s = 2.66 m
Thus, if the ball moved at a velocity of 4.50 m/s off the pier, it will land at a distance of 2.66 m from the end of the pier.
Answer: Spina bifida
Explanation:
Spina bifida is a developmental defect in which a portion of the spinal cord protrudes outside the vertebrae.
Spina bifida is a birth defect that occurs when there is improper formation of the spine and spinal cord. It's a type of neural tube defect. The structure in a developing embryo that eventually becomes the baby's brain, spinal cord and the tissues that enclose them is the neutral tube.