By definition we have to:
V = I * R
Where,
V: Voltage.
I: Current.
R: Resistance.
The current, I amps, produced by a battery is inversely proportional to the resistance, R ohms. Clearing I have:
I = V / R
rewriting:
I = V * (1 / R)
answer:
The equation that models the statement is:
I = V * (1 / R)
Answer:
(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm
Step-by-step explanation:
(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²
The area of the square of x sides removed from its center is x².
The area A of the each face of the coin is thus A = 9π - x²
Since the area of each face of the coin A = 7π cm²,
then
7π = 9π - x²
9π - 7π - x² = 0
2π - x² = 0
(2) Solve the equation 2π - x² = 0
2π - x² = 0
x² = 2π
x = ±√(2π)
x = ± 2.51 cm
Since x cannot be negative, we take the positive answer.
So, x = 2.51 cm
≅ 2.5 cm
(3) Find the perimeter of the square
The perimeter of the square, p is given by p = 4x
p = 4 × 2.51 cm
= 10.04 cm
≅ 10 cm
It is asking what 7/8 of 2/3 is. The "of" means you need to multiply. 7/13 is the answer.
Answer:
The account statement had an ending balance of $153
Step-by-step explanation:
Check register actual balance= $256
Less; Written check= -$312
The account is short; $256-$312= -$56
Add the new deposit =-$56+$250= $194
Therefore , new account balance= $194
Subtract fees($8 & $33) from the balance= $194- $8- $33=$153
The account statement had an ending balance of $153
Let X be the number of households.
so they sent the promotional material to 21% which means 0.21X number of households get the material.
out of the 0.21x households only 0.14 respond which is
0.14(0.21x) = 0.0294x or 2.94%
2.94% is the probability that a household receives and responds.
