.6 *.6 (because each one is .4 off)= .36
.36 = 36% of the retail price
Answer:
B.The matrix is invertible because the determinant is defined.
Step-by-step explanation:
<u>Definition:</u> A matrix is invertible if the determinant is not equal to zero.
Given the matrix:

The determinant of the matrix:


Since the determinant,
, the matrix is invertible because the determinant is defined.
If a function is even, it gives the same result for positive and negative inputs such as 8 and -8.
<em>From the choices, the even functions are D and A.</em>
D because the absolute value thing makes any input positive, and A because any number raised to an even power gives a positive result.
Answer:
x = -3
Step-by-step explanation:
i used a calculator but if u really need an explanation then let me know
Answer:
13.896 kg
Step-by-step explanation:
You can find the mass of the bar by first finding the volume.
V = BH
where B = area of the base (the trapezium), and
H = height (distance trapezium between bases)
The area of a trapezium is
A = (b1 + b2)h/2
where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and
h = the altitude of the trapezium (distance between the bases of the trapezium)
V = (b1 + b2)h/2 * H
V = (12 cm + 6 cm)(5 cm)/2 * 16 cm
V = 720 cm^3
The volume of the bar is 720 cm^3.
Now we use the density and the volume to find the mass.
density = mass/volume
mass = density * volume
mass = 19.3 g/cm^3 * 720 cm^3
mass = 13,896 g
Now we convert grams into kilograms.
1 kg = 1000 g
mass = 13,896 g * (1 kg)/(1000 g)
mass = 13.896 kg
Answer: 1.3896 kg