Answer:
192 cubes
Step-by-step explanation:
So all we need to do is:
1) Find the area of 1 cube.
2) Divide the large prism volume with this.
SO 1)
the volume of cube = Length * width * height = (1/4)^3 = 1/64
SO 2)
the volume of prism / the volume of cube = 3/(1/64) = 192
Answer: 192 cubes
Answer: $14
Step-by-step explanation:
Hi, to answer this question we have to multiply the amount of the cash advance (700) by the APR for cash advances in decimal form (divided by 100):
700 x (24/100) = $168 (a year)
To obtain the monthly charges, we have to divide the result by the number of months in a year (12):
168 /12 = $14
Feel free to ask for more if needed or if you did not understand something.
Answer:
Dimensions of the product matrix = (3 × 3)
Step-by-step explanation:
If matrix P having dimensions (m × n) and matrix Q having dimensions (n × r) are multiplied,
Dimensions of the product matrix PQ will have the dimensions as (m × r).
That means product of the two matrices are defined when columns of first matrix P is equal to the rows of the second matrix Q.
Following this rule,
Dimensions of matrix A = (2 × 3)
[ Rows × Columns]
Dimensions of matrix B = (3 × 3) [Rows of B = 3, columns of B = 3]
Dimensions of matrix C = (3 × 2) [Rows of C = 3, columns of C = 2]
Since columns of C and rows of A are equal.
Therefore, product of C and A is defined.
Product of the matrices C & A will have the dimensions as (3 × 3).
Answer:
(D) f(x+1)=2f(x)
Step-by-step explanation:
The sequence is:
Now,
On continuous calculation, we would discover that the next term is gotten from the preceding term by multiplying it by 2.
Therefore for term f(x), the next term f(x+1) is:
f(x+1)=2f(x)
A set of vectors {v1,v2,...,vk} is linearly independent if the vector equation x1v1 + x2v2 + .......... + xkvk = 0 has only the trivial solution
x1 = x2 = .... = xk =0. Then the set {v1,v2,...,vk} is linearly dependent otherwise.
So putting in the formula we get
x1u1 + x2u2 + x3u3 = 0
x1u1 + x2u2 = -x3u3
au1 + bu2 = u3 ∵ (-x1/x3 = a & -x2/x3 = b)
On putting in the values
a(3,-1) + b(4,5) = (-4,7)
(3a+4b,-a+5b) = (-4,7)
On comparing we get
3a + 4b = -4 -(1)
-a + 5b = 7 -(2)
on solving these equations we get
b = 17/19 and a= -48/19
which is non trivial.
Thus the following form linearly dependent sets of vectors.
Learn more about linear dependence of vectors here :
brainly.com/question/13776214
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