Answer:
The prime factors that 27 and 36 share is 3x3.
Step-by-step explanation:
The prime factorization of 27 is: 3 x 3 x 3. The prime factorization of 36 is: 2 x 2 x 3 x 3. The prime factors and multiplicities 27 and 36 have in common are: 3 x 3. 3 x 3 is the gcf of 27 and 36.
Question:
Sam is delivering two refrigerators that each weigh 105 kilograms. There is an
elevator with a weight limit of 1,000 pounds. Can he take both refrigerators on the
elevator in one trip? (1 kilogram 2.2 pounds)
Answer: yes he can
Step-by-step explanation:
Yes he can.
He can if the total weight of the 2 refrigerator didn't exceed the weight limit of the elevator.
Therefore:
Since 1 refrigerator weigh 105kg
2 refrigerator = 2 x 105kg = 210kg
The weight limit of the elevator 1000pounds convert to kg.
Since
2.2 pounds = 1kg
1000 pounds = 1000/2.2 kg
=454.55kg
Weight limit of the elevator = 454.55kg.
Since Weight of the 2 refrigerator is less than
weight limit of the elevator, he can take both refrigerators on the elevator in one trip
1.] The boundary between two air masses of different density<span>. When it does not move, it's called "stationary"; "warm" when warmer </span>air<span> replaces cooler </span>air<span>; "cold" when cooler </span>air<span> replaces warmer </span>air<span>. Front: The transition zone </span>between two air masses<span> of... Cold front: </span><span>The boundary between two air masses.
2. </span><span>Continental polar (cP) or continental arctic (cA) </span>air masses<span> are cold, dry, and stable. ... Maritime tropical (mT) </span>air masses<span> are warm, moist, and </span>usually<span> unstable. Some maritime tropical </span>air masses<span> originate in the subtropical Pacific Ocean, where it is warm and </span>air<span> must </span>travel<span> a long distance over water.
3.] </span> <span>When a weather front passes over an area, it is marked by changes in temperature, wind speed and direction, atmospheric pressure, and often a change in the precipitation pattern...
</span>
Correct question is ;
Given the equation of the parabola x² = -36y
The focus of the parabola is:
Answer:
Option C - Focus = (0,-9)
Step-by-step explanation:
The equation of the parabola is:
x² = -36y
Thus, y = - x²/36
Using the vertex form,
y = a(x − h)² + k, to determine the values of a, h, and k.
We will have;
y = (-1/36)(x − 0)² + 0
Thus,
a = - 1/36
h = 0
k = 0
The distance (p) from the vertex to a focus of the parabola is gotten by using the following formula.
p = 1/4a
So, p = 1/(4*(-1/36))
p = - 1/(1/9)
p = -9
Now, The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.
Focus is (h, k+p)
Plugging in the relevant values, we have;
Focus = (0, (0 + (-9))
Focus = (0,-9)
