Answer:
Two complex (imaginary) solutions.
Step-by-step explanation:
To determine the number/type of solutions for a quadratic, we can evaluate its discriminant.
The discriminant formula for a quadratic in standard form is:

We have:

Hence, a=3; b=7; and c=5.
Substitute the values into our formula and evaluate. Therefore:

Hence, the result is a negative value.
If:
- The discriminant is negative, there are two, complex (imaginary) roots.
- The discriminant is 0, there is exactly one real root.
- The discriminant is positive, there are two, real roots.
Since our discriminant is negative, this means that for our equation, there exists two complex (imaginary) solutions.
Answer:
D
Step-by-step explanation:
Answer:
a) k
= 3.6 N/m ; b) 9.43 * 10¹²; c) 1.18 * 10¹¹; d) 75.08 N/m
Step-by-step explanation:
Length of iron bar = L = 2.7m;
side length of cross section = a = 0.07cm = 0.0007m;
x = 2.7 cm = 0.027m;
m = 100kg;
ρ = 7.87gm/cm³;
da = 2.28 * 10⁻¹⁰m;
a)
Fnet = F - mg
where Fnet = 0
So,
F = mg where F=k
x
k
= mg/x = 100*9.8/0.027
k
= 3.6 N/m
b)
Nchain = Aw/Aa =a²/(da)²
= (o.ooo7)²/(2.28 * 10⁻¹⁰)²
= 9.43 * 10¹²
c)
Nbond = L/da = 2.7/2.28 * 10⁻¹⁰
= 1.18 * 10¹¹
d)
Spring stiffness of wire = ksi = (Nbondk
)/Nchain
= [(1.18* 10¹¹)(6*10⁴)]/(9.43 * 10¹²)
= 75.08 N/m
The percentage of deprecation of the car in the third year is 38.59%.
<h3>What is deprecation?</h3>
Depreciation is the decline in the value of an asset as a result of wear and tear.
Deprecation in year 1 = 15%
Deprecation in year 2 = 15% x (100 - 15%) = 12.75%
Deprecation in year 3 = 15% x (85% - 12.75) = 10.84%
Sum of deprecation = 38.59%
To learn more about depreciation, please check: brainly.com/question/25552427