Answer:
11.33 cups
Step-by-step explanation:
240 grams of carbohydrates: x
40 x + 4 x + 26 x = 240
X = 240/70
X = 3 3/7 cups
332 grams of fats = y
0y + 13y + 70y = 332
Y = 332/83
Y = 4 cups
207 grams of proteins = z
5z + 21z + 27z = 207
Z = 207/53
Z = 3 48/53 cups
3 3/7 + 4 + 3 48/53 = 11.33 cups
Answer:
If p is the smallest of n consecutive integers of the same sign than we have p , p+1 , p+2 , … , p+(n−1) ,
So the sum is
∑k=0n−1(p+k)=∑k=0n−1p+∑k=0n−1k=np+n2−n2
Here n=4
So we have 4p+6
And checking
p+(p+1)+(p+2)+(p+3)=4p+6
Note if p=−v
Than you have the same thing as if p=v−n+1 just negative for example 3 consecutive integers the smallest is −5 so the sum is −5+(−4)+(−3)=3×−5+32−32=−15+3=−12
On the other hand:
−(3+4+5)=−(3×3+32−32)=−(9+3)=−12
If p=−v the sum of next v+1 integers is −(∑k=0vk)=−(v2+v2)
Than needs an other v integers to bring it up to 0 again. From there it is
∑k=0hk=h2+h2
Where h=n−(2v+1) .
So recap if p is the smallest of n consecutive integers their sum is
p+(p+1)+(p+2)+…+(p+(n−1))=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪np+n2+n2−(n|p|+n2+n2)((n−|p|)2+(n−|p|)2)−(|p|p+|p|2+|p|2)((n−|p|)2+(n−|p|)2)n≥0p<0∧n<|p|+1p<0∧|p|<n<2|p|+1p<0∧n>2|p|+1
Step-by-step explanation:
Answer:
3.5 HOURS
if he is 40 mph he goes 40 miles in 1 hour so it will take 3 1/2 hours to go 190 miles
Answer:
B.
![{ \tt{f(x) = \sqrt[3]{x + 11} }}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bf%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20%2B%2011%7D%20%7D%7D)
let the inverse of f(x) be m:
![{ \tt{m = \sqrt[3]{x + 11} }} \\ { \tt{ {m}^{3} = x + 11}} \\ { \tt{ {m}^{3} - 11 = x}} \\ { \tt{ {f}^{ - 1}(x) = {m}^{3} - 11 }}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bm%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20%2B%2011%7D%20%7D%7D%20%5C%5C%20%7B%20%5Ctt%7B%20%7Bm%7D%5E%7B3%7D%20%20%3D%20x%20%2B%2011%7D%7D%20%5C%5C%20%7B%20%5Ctt%7B%20%7Bm%7D%5E%7B3%7D%20%20-%2011%20%3D%20x%7D%7D%20%5C%5C%20%7B%20%5Ctt%7B%20%7Bf%7D%5E%7B%20-%201%7D%28x%29%20%3D%20%20%7Bm%7D%5E%7B3%7D%20%20-%2011%20%7D%7D)
substitute for x in place of m:
Answer:
6 i think
Step-by-step explanation:
vertices are the points and there are 6 points
