Answer:
0.082 = 8.2× 10^-2
Step-by-step explanation:
Given the decimal number 0.082, the expanded form using the power of 10 can be gotten by writing the decimal number in standard format(writing as a multiple of 10).
To do that we will shift the decimal point to the front up to the front of digit 8. This shows that the decimal point will be shifted 2times to the front. Since of is shifted 2times to the front, our power of 10 will be -2.
0.082 = 8.2× 10^-2
This gives the required answer.
Note that, the power of 10 is positive when decimals are shifted to the back and negative when shifted to the front(in this case).
Answer:
B: The retiree has a pension savings of $51,000
Step-by-step explanation:
For points (x1,y1) and (x2,y2)
the slope is (y2-y1)/(x2-x1)
(3,4) and (6,6), slope is (6-4)/(6-3)=2/3
(4,-4) and (2,-7), slope is (-7-(-4))/(2-4)=(-7+4)/(-2)=-3/-2=3/2
for ax+by=c
slope=-a/b
3x+4y=12
slope=-3/4
a)
Answer: 0.91 m
Explanation:
We know that,
P.E. = m g h
Where,
P.E = Potential energy
m = Mass of the object
g = acceleration due to gravity (9.8 m/s²)
It is given that, m = 1.5 kg
P.E. = 13.44 J
⇒ 13.44 = 1.5 kg × 9.8 m/s² × h
⇒ h = 0.91 m
Hence, apple sits om 0.91 m tall counter.
b)
Answer: 216 J
Explanation:
P.E. = m g h
Weight, mg = 120 N ( given)
height, h = 1.8 m ( given)
The energy possessed by the suitcase is due to virtue of its position (gravitational potential energy)
P.E. = 120 N × 1.8 m = 216 J
Hence, the energy possessed by the suitcase sitting on the counter is 216 J.
Answer:
A and B
Step-by-step explanation:
Let's convert 5 feet into inches and yards. We will use the conversions:
1 ft = 12 in
1 yd = 3 ft
So, 5 feet = 5 * 12 = 60 inches. Looking at the answer choices, A says 56 inches, which is less than 60, so that can work.
5 feet = 3 feet + 2 feet = 1 yd + 2 ft. Looking at the answer choices, B works because it says 1 yd, which is clearly less than 1 yd + 2 ft. However, C doesn't work because 1 yd 2 ft is equal to 5 ft.
Thus, the answers are A and B. (Note that as you didn't provide choice D, I will assume it is not an answer)
Hope this helps!
