Answer:
[See Below]
Step-by-step explanation:
✦ First split the equation in little pieces and solve them:
✧ 4 - 16 = -12
✧ 4 + 4² = 20 (4² = 16)
✦ Now divide them:
✧ -12 ÷ 20 = -0.6
So I'm guessing you're trying to simplify 4²... so it'd be 16 because none of the choices are the simplified version of the problem.
~Hope this helps Mate. If you need anything feel free to message me.
Answer: the first term is 5
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
S12 = 20475
r = 2
n = 12
Therefore,
20475 = (a × 2^(12) - 1)/2 - 1
20475 = (a × 4095)
20475 = 4095a
a = 20475/4095
a = 5
Answer:
There are 7 coins of quarters , 12 coins of dimes and 16 coins of nickels .
Step-by-step explanation:
Mukul has $3.75
1 dollar = 100 cents
3.75 dollar = 375 cents
Let he has x coins of quarters
Since we are given that he has five more dimes than quarters.
So, Dimes = x+5
Since we are given that he has nine more nickels than quarters .
So, nickels = x+9
Now 1 quarter = 25 cents
So, x quarter = 25 x cents
1 dime = 10 cents
So, (x+5) dimes = 10(x+5) cents
1 nickel = 5 cents
So, (x+9) nickels = 5(x+9) cents.
Since he had 375 cents in total .
Thus there are 7 coins of quarters
Coins of dimes = x+5=7+5=12
Coins of nickels = x+9=7+9 =16
Hence there are 7 coins of quarters , 12 coins of dimes and 16 coins of nickels .
A. 18
B.-18
C.3
D.-3
(1) The graph of f(x) is wider than the graph of g(x), and its vertex
is moved to the left 2 units and up 1 unit.
(2) The graph of f(x) is narrower than the graph of g(x), and its vertex
is moved to the right 2 units and up 1 unit.
(3) The graph of f(x) is narrower than the graph of g(x), and its vertex
is moved to the left 2 units and up 1 unit.
(4) The graph of f(x) is wider than the graph of g(x), and its vertex is
moved to the right 2 units and up 1 unit.