The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)
<h3>How to interpret Cycle Graphs?</h3>
From the diagram attached, we can say that;
Period = 2π/k
where;
k = 2π/2.25
k = 8π/9
Thus;
h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)
h(t) = -24cos (8π/9)t + 24.5
Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;
41 = -24cos (8π/9)t + 24.5
41 - 24.5 = -24cos (8π/9)t
16.5 = -24cos (8π/9)t
-0.6875 = cos (8π/9)t
cos⁻¹0.6875 = (8π/9)t
t = 0.834 min
Thus, time interval is between;
0.834 < t < (2.25 - 0.834)
⇒ 0.834 < t < 1.416 and
(2.25 + 0.834) < t < (2.25 + 1.416)
⇒ (3.084, 3.666)
Read more about Cycle Graphs at; brainly.com/question/24461724
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Unit rate is used to compare quantities in which the second quantity is one. Common examples of unit rate would include, miles per hour earnings per hour cost per gallon.
Answer:
(-3 ,-4)
I have made it in above picture
hope it helps
Answer:
10.5 is the answer
Step-by-step explanation:
4(5y−8−2)=185−15
(4)(5y)+(4)(−8)+(4)(−2)=185+−15(Distribute)
20y+−32+−8=185+−15
(20y)+(−32+−8)=(185+−15)(Combine Like Terms)
20y+−40=170
20y−40=170
20y−40+40=170+40
20y=210
20y/20=210/20
y=21/2
y=10.5
<h2><u>Answers and Explanation</u></h2>
<u>(a) Betty’s expression:</u>
Cost of guest = 10 × x + 10 × x + 10 × x
= 10x + 10x + 10x
cost of the venue = 80
Total cost =<em> 10x + 10x + 10x + 80</em>
<u>(b) Dawnie’s expression:</u>
Cost of the location = $80
Number of guests = x + x + x
Cost of all guests = $10(x + x + x)
Total cost = <em> 10(x + x + x) + 80</em>
<u>(c) Joan’s expression:</u>
Cost of the location = 80
Cost of guest = 10 × x + 10 × x + 10 × x
= 10x + 10x + 10x
= x(10 + 10 + 10) ⇒ After factoring out x.
Total cost =<em> x(10 + 10 + 10) + 80</em>
