Answer:
Standard: 0.712
Expanded: 0.7 + 0.01 + 0.002
Step-by-step explanation:
Seven hundred twelve thousandths
.tenths,hundredths,thousandths
0.712
Every number in expanded fits in its place.
0.712
^ ^ ^
0.7 0.01 0.002
1220/1.65 = 739.39 pounds of potatoes were sold
1 pound = 0.453592 kilograms
739.39 x 0.453592 = 335.38 kilograms
Answer:
Hi there
The formula is
A=p (1+r)^t
A future value
P present value
R interest rate
T time
A) A=2,000×(1+0.04)^(3)=2,249.728
B) A=2,000×(1+0.04)^(18)=4,051.63
C) 2500=2000 (1+0.04)^t
Solve for t
T=log(2,500÷2,000)÷log(1+0.04)
T=5.7 years
D) t=log(3,000÷2,000)÷log(1+0.04)
t=10.3 years
Hope it helps
Step-by-step explanation:
Your answer is D. 16x² - 56xy + 49y².
A perfect square trinomial is the result of a squared binomial, like (a + b)². Using this example, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.
Therefore, to determine which of these is a perfect square trinomial, we have to see if it can be factorised into the form (a + b)².
I did this by first square rooting the 16x² and 49y² to get 4x and 7y as our two terms in the brackets. We automatically know the answer isn't A or B as you cannot have a negative square number.
Now that we know the brackets are (4x + 7y)², we can expand to find out what the middle term is, so:
(4x + 7y)(4x + 7y)
= 16x² + (7y × 4x) + (7y × 4x) + 49y²
= 16x² + 28xy + 28xy + 49y²
= 16x² + 56xy + 49y².
So we know that the middle number is 56xy. Now we assumed that it was (4x + 7y)², but the same 16x² and 49y² can also be formed by (4x - 7y)², and expanding this bracket turns the +56xy into -56xy, forming option D, 16x² - 56xy + 49y².
I hope this helps!
What do you mean by that?
