Answer:
They are 24, 692 feet aprart
Step-by-step explanation:
Let us assume at the instance we are measuring their position, that Pluto is at the highest point in the air, which is = 24,568 feet, and Goofy is at the lowest point of the sea (that he can go) = 124 feet.
Before we can proceed with the addition, we need to establish a datum, which will serve as the reference point from which the two distances are measured. This definitely is the sea level, because altitude and depth are usually measured above and below sea level.
Pluto's location to the sea level = 24,568 feet
Goofy's Location to the sea level = 124 feet
their distance apart = 24,568 feet + 124 feet =24, 692 feet apart
Answer:
P(A) = 0.49
Step-by-step explanation:
Given:
A and B are mutually exclusive events.
P(B) = 0.03
P(A or B) = 0.52
If two events A and B are mutually exclusive events, then there are no elements common in both the events. So, the probability of their intersection is 0.
Now, as per probability addition theorem:
P(A or B) = P(A) + P(B) + P(A and B)
For mutually exclusive events, P(A and B) = 0. So,
P(A or B) = P(A) + P(B) + 0
P(A or B) = P(A) + P(B)
Plug in the given values and solve for P(A). This gives,
0.52 = P(A) + 0.03
P(A) = 0.52 - 0.03
P(A) = 0.49
Therefore, the probability of occurrence of event A is P(A) = 0.49.
Answer:
X will be -2
Step-by-step explanation:
Divide each side by factors that don't contain the variable
Answer:
a) y=5ˣ-3
b) y=5ˣ⁻²
c) y=5^(x+1/2)
d) y=5^(x+2.5)+1
Step-by-step explanation:

b: vertical stretch or compression and reflection across x-axis
a: horizontal stretch or compression and reflection across y-axis
h: horizontal shift (left and right)
k: vertical shift (up and down)
a) y=5ˣ-3
b) y=5ˣ⁻²
c) y=5^(x+1/2)
d) y=5^(x+2.5)+1
Cosine = adjacent/ hypotenuse
cos(53) = x/7
7 * cos(53) = x
x = 4.2
Sine = opposite / hypotenuse
sin(53) = y/7
7 * sin(53) = y
y = 3.2