Answer:
Step-by-step explanation:
1680 mile road trip....they completed 3/8 of it...
so we need to figure 3/8 of 1680
" of " in math language means multiply
3/8 * 1680 = 5040/8 = 630 miles <===
Answer: 31 mint plants
Step-by-step explanation:
We will have mint plants over total plants:
29/29+29 = 29/58 = 1/2
Now, we will multiply 62 by 1/2 to guess how many mint plants will be stocked.
62* 1/2 = 31
We should expect about 31 plants of the total plants to be mint plants.
Answer:
Equation of tangent plane to given parametric equation is:
Step-by-step explanation:
Given equation
---(1)
Normal vector tangent to plane is:
Normal vector tangent to plane is given by:
![r_{u} \times r_{v} =det\left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\cos(v)&sin(v)&0\\-usin(v)&ucos(v)&1\end{array}\right]](https://tex.z-dn.net/?f=r_%7Bu%7D%20%5Ctimes%20r_%7Bv%7D%20%3Ddet%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Chat%7Bi%7D%26%5Chat%7Bj%7D%26%5Chat%7Bk%7D%5C%5Ccos%28v%29%26sin%28v%29%260%5C%5C-usin%28v%29%26ucos%28v%29%261%5Cend%7Barray%7D%5Cright%5D)
Expanding with first row
at u=5, v =π/3
---(2)
at u=5, v =π/3 (1) becomes,
From above eq coordinates of r₀ can be found as:
From (2) coordinates of normal vector can be found as
Equation of tangent line can be found as:
Answer:
$0.66 per cup
Step-by-step explanation:
There are 8 cups in 2 quarts, so 5.28/8 is $0.66 per cup.
Answer:
A piece of Jewelry costs $4.5 and a hair accessory costs $1.5.
Step-by-step explanation:
Let the price of a piece of jewelry is $x and that of a piece of hair accessories is $y.
So, from the given conditions we can write two different equations as
5x + 8y = 34.5 ............ (1) and
2x + 16y = 33 ............... (2)
Now, solving the equations (1) and (2) we get
2x + 2(34.5 - 5x) = 33
⇒ 8x = 36
⇒ x = $4.5
Again, from the equation (2) we can write
2(4.5) + 16y = 33
⇒ 16y = 24
⇒ y = $1.5
Therefore, a piece of Jewelry costs $4.5 and a hair accessory costs $1.5. (Answer)
