Answer:
I(7) = 22.96 W/m²
Step-by-step explanation:
Let intensity of light, be I(d) where d is distance. There must be a proportionality factor K such as
I(d) = K /d²
Now for d = 5 m I(d) = K* 1/d²
then 45 * 25 = K
K = 1125
To find the intensity when the distance from the light bulb is 7 m away
I(7) = K / 49
I(7) = 1125/49 W/m²
I(7) = 22.96 W/m²
Answer:
= -42a⁶
Step-by-step explanation:
-7a⁵. 6a = -7a⁵ × 6a
Therefore;
We multiply; -7 × 6 = -42
then; a⁵ × a = a⁶
Thus; we have -42 a⁶
Hence; <u>-7a⁵ × 6a = -42 a⁶</u>
Answer:
The volume of the cylinder is 25.12
Step-by-step explanation:
The width is the diameter in the circle of the base
radius = half of diameter
r = 2/2 = 1
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 8
π = 3.14
r = radius = 1
v = (π * r²) * h
we replace the unknowns with the values we know
v = (3.14 * (1)²) * 8
v = (3.14 * 1) * 8
v =3.14 * 8
v = 25.12
The volume of the cylinder is 25.12
Answer:
D) √0.302
Step-by-step explanation:
1. The inequality 4/8 < x < 65% means that that the value of x is more than 0.5 but less than 0.65. Let's go through each answer choice.
A)
- A) can't be the answer because 2/5 (or 0.4) is less than 0.5
B)
- B) can't be the answer because 0.017 is less than 0.5
C)
- C) can't be the answer because 1.062 is more than 0.65
D)
≈
- D) is the answer because the square root of 0.302 (or approximately 0.55) is more than 0.5 but less than 0.65.