Answer:
75 students were surveyed!
Step-by-step explanation:
strawberry: 25
coffe: 35
vanilla: 10
fudge ripple: 5
Just add that all together



so 75
The area of the parallelogram spanned by the given vectors is equal to the magnitude of their cross product.
(i + j + k) × (-2i + 3j + k)
= -2 (i × i) - 2 (j × i) - 2 (k × i)
… + 3 (i × j) + 3 (j × j) + 3 (k × j)
… + (i × k) + (j × k) + (k × k)
= - 2 (j × i) - 2 (k × i) + 3 (i × j) + 3 (k × j) + (i × k) + (j × k)
= 2 (i × j) - 2 (k × i) + 3 (i × j) - 3 (j × k) - (k × i) + (j × k)
= 5 (i × j) - 3 (k × i) - 2 (j × k)
= 5 k - 3 j - 2 i
Then the area of the parallelogram is
||-2 i - 3 j + 5 k|| = √((-2)² + (-3)² + 5²) = √38
Answer:
(7,5) (4,1)= (3,4) might be it Im not really sure
Answer:
C. Linear
Step-by-step explanation:
Because the amount of money is increasing by a constant rate of $4.
Answer:
![27^{\frac{1}{5} }=\sqrt[5]{3^3}](https://tex.z-dn.net/?f=27%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B3%5E3%7D)
Step-by-step explanation:
we are given

we can use rule to change exponent into radical
![\sqrt[n]{a} =a^{\frac{1}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%20%7D)
so, we can write as


now, we can use rule
and we can write our term as
![27^{\frac{1}{5} }=\sqrt[5]{3^3}](https://tex.z-dn.net/?f=27%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%3D%5Csqrt%5B5%5D%7B3%5E3%7D)