The weight of an object is the product of its mass and the acceleration of gravity.
If g[e] is the acceleration of gravity on earth, and g[M] the same for Mars and g[m] the same for the moon,
then m[M]=m[e]g[M]/g[e] and m[m]=m[e]g[m]/g[e] where m[ ] denotes mass. Note that weight=mg (measured in newtons) while mass is in kilograms.
If g[M]=g[e]/3 and g[m]=g[e]/6 approximately. Then the weight of an object on Mars will be about a third of what it is on earth, while on the moon it would be about a sixth of what it is on earth.
For this case we must simplify the following expression:
We rewrite:
So:
By definition of properties of powers and roots we have:
So:
Answer:
Option B
Answer:
(D) There are probably more blue marbles than red marbles in the bag.
Step-by-step explanation:
There are a total of 100 marbles in the bag.
In the experiment of 50 trials, Sam had the following outcome:
Blue=35
Red=15
Relative Frequency of Blue Marbles =35/50=0.7
Relative Frequency of Red Marbles =15/50=0.3
Since the relative frequency of blue marbles is greater than the relative frequency of red marbles, <u>there are probably more blue marbles than red marbles in the bag.</u>
The correct option is D.
Answer:
see beleow
Step-by-step explanation:
Let's solve your equation step-by-step.
5.1+2.3x=23.5
Step 1: Simplify both sides of the equation.
2.3x+5.1=23.5
Step 2: Subtract 5.1 from both sides.
2.3x+5.1−5.1=23.5−5.1
2.3x=18.4
Step 3: Divide both sides by 2.3.
2.3x
2.3
=
18.4
2.3
x=8
Answer:
x=8
Answer:
#3
Step-by-step explanation: