Answer:
see explanation
Step-by-step explanation:
Given that z² is directly proportional to w then the equation relating them is
z² = kw ← k is the constant of proportion
To find k use the condition z = 4 when w = 8, thus
4² = 8k
16 = 8k ( divide both sides by 8 )
2 = k
(i)
z² = 2w ← equation of proportion
(ii)
When w = 18, then
z² = 2 × 18 = 36 ( take the square root of both sides )
z = 
= 6
(iii)
When z = 5 , then
5² = 2w
25 = 2w ( divide both sides by 2 )
w = 12.5
Answer:
74.4°F?
Step-by-step explanation:
It started at 65°F and they recorded the change. So 65 + 2.5 = 67.5 - 1.7 = 65.8 + 5.5 = 71.3 + 3.1 + 74.4? I think that is how it is solved. I could be wrong... it's been a while haha
^^That is finding the full temp. overall. If you are looking for the change, it is 9.4
<span> we know the length of the cable is 9m.
That means the magnitude of </span><span><span>r<span><span><span>AB</span></span><span></span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span><span>AB</span></span><span></span></span></span><span> divided by the magnitude.
</span>u=<span>(<span><span>x/9</span><span></span></span>i−<span>y/9<span></span></span>j−<span>z/9<span></span></span>k<span>)
</span></span><span>We can also figure out the unit vector of F.
</span>u=(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.
Therefore
</span>(x/9i−y/9j−z/9k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m
The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
Answer:
She would want to leave a 20% tip on the original $100. This means that the amount that she would leave as tip is
20/100 × 100 = 0.2 × 100 = $20.
Therefore, the total cost of Dakota's meal including the tax and the tip would be
100 + 13 + 20 = $133
Step-by-step explanation:
There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. (p [ ] 835
> < ≤ ≥
P≥835
