The value of m = - 1.
<u>Explanation:</u>
An expression which contains two or more algebraic terms is called the polynomial. It is made up of two terms namely Poly and Nominal meaning many terms.
P(x) = 2x^3 - 3x^2 - mx - 6
x - 2 is one of the factor of the polynomial.
So x - 2 = 0
x = 2
Substituting the value of x,
P(2) = 2(2)^3 - 3(2)^2 - m(2) - 6
2(8) - 3(4) - m(2) - 6 = 0
16 - 12 - 2m - 6 = 0
- 2 - 2m = 0
- 2m = 2
m = - 1
Use the
following formula to find the time meteorites take for a footprint to be
erased:
T = [(Impact
needed of a footprint)(4πr^2)]/[(impact rate)(Area of a footprint)].
Use
the following formula to find the area of a foot:
Area of
a foot = length of foot x width of foot
Substitute
the given values in the above equation to get area of a foot:
Area of
a foot = 25 cm x 10 cm = 250 cm^2
Convert
the radius of moon in kilometers to centimeters.
R =
1738 km = 1738 km (10^5 cm / km) = 1.738 x 10^8 cm
The
time meteorites take for a footprint to be erased:
T = (20)(4
π (1.738 x 10^8)^2) / (25 million / day) (250 cm^2) = 758.78 x 10^16 / 6250 x
10^6 /day = 1.21 x 10^9 days
Therefore,
the time meteorites take for a footprint to be erased is 1.21 x 10^9 days
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Answer:
<em>d) Microwave ovens emit in the same frequency band as some wireless Internet devices.</em>
<em></em>
Explanation:
Microwave are radio waves of short wavelength, from about 10 centimetres to one millimetre, in the Super High Frequency and the Extremely High Frequency bands. Microwaves can penetrate into materials and deposit their energy below the surface which is why is is used in microwave heating found in microwave oven. Transmission of data sometimes involves the use of microwaves to send and receive information over a long distance. Microwaves are the mainly used in radar, used for satellite communication, and wireless networking technologies such as Wi-Fi.
The electric field generated by a point charge is given by:
where
is the Coulomb's constant
Q is the charge
r is the distance from the charge
We want to know the net electric field at the midpoint between the two charges, so at a distance of r=5.0 cm=0.05 m from each of them.
Let's calculate first the electric field generated by the positive charge at that point:
where the positive sign means its direction is away from the charge.
while the electric field generated by the negative charge is:
where the negative sign means its direction is toward the charge.
If we assume that the positive charge is on the left and the negative charge is on the right, we see that E1 is directed to the right, and E2 is directed to the right as well. This means that the net electric field at the midpoint between the two charges is just the sum of the two fields:
Gravitational potential energy stored in cat= mgh ( m= mass of cat, h = height of cat from ground) = 7x9.8x3 = 205.8 J