Answer: d= radical 128
h= 3.46
Step-by-step explanation:
d: pythagorean theorem (8^2+8^2=c^2)
h: tan30= x/6
The probability that a child with a speaking part is chosen randomly would be 2:5.
I think it’s A Idk tho ♀️ use photomath or google
Answer:
$ 3199.0
Step-by-step explanation:
Let the number of shares of ABC = x
and XYZ = y
writing each as a linear equation
32 x + 23 y = 10100 equation 1
1.2 x + 1.4 y = 540
1.4 y = 540 - 1.2 x
y = ( 540 - 1.2 x) / 1.4
substitute for y in equation 1
32 x + 23( 540 - 1.2 x) / 1.4 = 10100
32 x + 8871.43 - 19.71 x = 10100
collect the like terms
32 x - 19.71 x = 10100 - 8871.43
12.29 x = 1228.57
x = 1228.57 / 12.29 = 99.97
the amount of money to be invested in ABC shares = 99.97 × $ 32 = $ 3199.0
9514 1404 393
Answer:
a[n] = n^2 -3n -6
Step-by-step explanation:
First differences are ...
-8 -(-8) = 0
-6 -(-8) = 2
-2 -(-6) = 4
Second differences are ...
2 -0 = 2
4 -2 = 2
Constant second differences indicate a degree 2 (quadratic) sequence.
The general formulation can be written as ...
an = a1 +(n -1)(d1 +(n -2)/2(d2)) . . . . where a1 is the first term; d1 is the first first difference; d2 is the second difference
= -8 +(n -1)(0 +(n -2)/2(2)) = -8 +(n -1)(n -2)
an = n^2 -3n -6 . . . . . formula for the n-th term
