from question d = 16t^2 = 56-4t
=》 16t^2 -56 + 4t =0
=》 4t^2 - 14 + t = 0
=》 (4t-7)(t+2) =0
=》 t = 1.75 seconds
Answer:
His total calorie consumption for the day is:
Option C. 1.820 kcal
Step-by-step explanation:
Protein and carbohydrates both contain 4 calories per gram, while fat provides 9 calories per gram, then:
1.) 160 grams of carbohydrates contain:
160 grams * (4 cal/gram)=640 cal
2.) 100 grams of fat contain:
100 grams * (9 cal/gram)=900 cal
3.) 70 grams of protein contain:
70 grams * (4 cal/gram)=280 cal
Then, his total calorie consumption for the day is:
T=640 cal + 900 cal +280 cal
T=1,820 cal
T=1,820 cal (1 kcal / 1,000 cal)
T=1.820 kcal
Not an expertise on infinite sums but the most straightforward explanation is that infinity isn't a number.
Let's see if there are anything we missed:
∞
Σ 2^n=1+2+4+8+16+...
n=0
We multiply (2-1) on both sides:
∞
(2-1) Σ 2^n=(2-1)1+2+4+8+16+...
n=0
And we expand;
∞
Σ 2^n=(2+4+8+16+32+...)-(1+2+4+8+16+...)
n=0
But now, imagine that the expression 1+2+4+8+16+... have the last term of 2^n, where n is infinity, then the expression of 2+4+8+16+32+... must have the last term of 2(2^n), then if we cancel out the term, we are still missing one more term to write:
∞
Σ 2^n=-1+2(2^n)
n=0
If n is infinity, then 2^n must also be infinity. So technically, this goes back to infinity.
Although we set a finite term for both expressions, the further we list the terms, they will sooner or later approach infinity.
Yep, this shows how weird the infinity sign is.
I think that it’s A, Perpendicular (correct me if I’m wrong)
Answer:
5.3
Step-by-step explanation:
(x − 6)(x + 0.7) = 0
using the zero product property
x-6=0 x+.7 =0
x-6+6 = 0+6 x+.7 -.7 = 0-.7
x = 6 x= -.7
sum of the solutions
6+-.7 = 5.3
