Let's use Newton's Law of Universal Gravitation, which is expressed as<span>F=G<span><span><span>(m1</span><span>m2)/</span></span><span>r2</span></span></span>We can find the force of attraction between them. Then, to find the acceleration from<span>F=<span>m1</span><span>a1</span> <span>and</span> F=<span>m2</span><span>a2</span></span>I'll take it you know the equations of motion for constant acceleration. <span>y=<span>1/2</span>a<span>t^2</span></span>
Obviously, as they accelerate towards each other, the radius between
them decreases, meaning the force of gravitation between them increases,
meaning they accelerate faster.
Answer:
154 sq. meters
Step-by-step explanation:
the area of the whole thing is 180 then you find the area of the blank space which is 16 and subtract it out
Answer: the probability that the number x of correct answers is fewer than 4 is 0.61
Step-by-step explanation:
Let x be a random variable representing the answers to the SAT questions. This is a binomial distribution since the outcomes are two ways. It is either the answer is correct or incorrect. Also, the probability of success or failure is constant for each trial. The probability of success, p = 0.35
The probability of failure, q would be 1 - p = 1 - 0.35 = 0.65
We want to determine P(x < 4)
n = number of trial = 9
x = 4
From the binomial distribution calculator,
P(x < 4) = 0.61
Answer:
<h2>x = 6, y = 24</h2>
Step-by-step explanation:
We have the vertical angles and supplementary angles.
Vertical angles are congruent. Therefore we have the equation:
Supplementary angles add up to 180°. Therefore we have the equation:
Solve (2):
Put the value of x to (1) and sole:
It took 50 hours to produce 3 oz of honey.
<u>Step-by-step explanation:</u>
Rate of production= 1.5% per hour
Initial amount of honey = 4 oz
Final amount of honey = 7 oz
Honey produced = 3 oz
Amount produced = (initial amount x rate x time) /100
3 = (4 x 1.5 x t) /100
300 = 6t
t = 300/6
t = 50 hours
It took 50 hours for the bees to produce 3 oz of honey.
