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kotegsom [21]
3 years ago
14

Let a function y represent the water level in a harbor measured in meters, and let x represent the number of hours

Mathematics
1 answer:
svp [43]3 years ago
6 0

Answer:

2.2 hours

Step-by-step explanation:

The equation to graph is

4.5cos(4pi/25 x)+15

Find amplitude by subtracting min from max and dividing it by two. a=4.5

Find vertical shift k by finding the midline. Either add 4.5 to 10.5 or subtract 4.5 from 19.5. k = 15

The period is given to be 12.5. Use formula 2pi/b = period to find b. b = 4pi/25

Put the equation into graphing calculator and find what x equals when the graph is 17 (for the first time)

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A pile of newspaper was 17 3/4 inches high. Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inc
Murljashka [212]

Answer: the height in inches, of the pile after 3 weeks is 34 11/12 inches

Step-by-step explanation:

Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inches. Converting 8 7/12 inches to improper fraction, it becomes 103/12 inches. The height is increasing in an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 17 3/4= 71/4 inches

d = 103/12 inches

n = 3 weeks

the height in inches, of the pile after 3 weeks, T3. Therefore,

T3 = 71/4 + (3 - 1)103/12

T3 = 71/4 + 2 × 103/12 = 71/4 + 103/6

T3 = 419/12 inches = 34 11/12 inches

7 0
3 years ago
The graph shows the solution to which system of inequalities?
Misha Larkins [42]

Answer:

The orange one is the answer

Step-by-step explanation:

The easiest way to find the solution is to plug in one of the coordinates that is located in the shaded area into each equation. If the equations make sense, as they do in the orange option, you have your answer.

Hope this helps you!

7 0
3 years ago
Read 2 more answers
1<br> Determine the number of solutions for the equation.<br> - 3(42x +46) = -15(-22-9x)
kkurt [141]

Answer:

x=-52/29

Step-by-step explanation:

-3(42x+46)=-15(-22-9x)

-126x-138=330+135x

-126x-135x-138=330

-261x-138=330

-261x=330+138

-261x=468

x=468/-261

x=-52/29

6 0
3 years ago
What is 49% of $201.13
Nookie1986 [14]

Answer:

98.5537

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
What’s the answer please help
yaroslaw [1]

90 1 m/s2 189087536

vghfvkycfcccccccccccccccccccccccccccccc

4 0
3 years ago
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