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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 delivery company has 18 vehicles in its fleet.
Ilia_Sergeevich [38]

Answer: £1517.04

Step-by-step explanation:

The fuel expenses for the vans will be calculated as:

Vans:

Since the average distance travelled per day is 198km and the average distance travelled per litre is 9km, the van would use:

= 198/9

= 22 litres

Since there are 8 vans, they'll use:

= 22 × 8 = 176 liters

Trucks:

Since the average distance travelled per day is 620km and the average distance travelled per litre is 6.2km, the truck would use:

= 620/6.2

= 100

Since there are 10 trucks, they'll use:

= 100 × 10 = 1000 liters

The amount of liters for both the van and the truck will be:

= 176 liters + 1000 liters

= 1176 liters

The fuel cost will then be:

= 1176 × 1£1.29

= £1517.04

6 0
2 years ago
What is 12.345 rounded to the nearest tenth
noname [10]
Rounding to the nearest tenth means rounding to the decimal place directly to the right of the decimal. 

The rules of rounding are fairly simple. If the number to the right of the number you are rounding is greater than or equal to 5, you round up. If the number to the right is less than 5, you round down.

Let's take a look at the number 12.345.
First, round to the hundredths place. The number right before the 4 is 5, so we round up. This gives us the number 12.35.
Next, we have to round to the tenths place. The number to the right of the 3 is 5, so we round up as well. This gives us the number 12.4.

Answer: 12.4
7 0
3 years ago
Read 2 more answers
Margie threw a ball upwards while standing on a platform 65ft above the ground. The trajectory follows the​ equation:h(t)=-1.5t^
EastWind [94]

Answer:

  • 14 seconds

Step-by-step explanation:

Given equation is representing the graph of parabola which opens down and its pick is its vertex

<u>The vertex is calculated by vertex formula:</u>

  • x = -b/2a for the equation y = ax² + bx + c

<u>In our case t is the vertex and its value is:</u>

  • t = -42/(-1.5*2) = 42/3 = 14 seconds

7 0
2 years ago
The sides of △FGH are FG = 6 x+ 7, GH = 8x - 5, and FH = 10x - 11. If the perimeter of △FGH is 87, list the angles in order from
irga5000 [103]

Answer:

From largest to smallest: FG, FH, GH

Step-by-step explanation:

Given

FG = 6x + 7

GH = 8x - 5

FH = 10x - 11

Perimeter = 87

Required

Order the sides in descending order

First, we need to solve for x.

Perimeter of FGH is calculated as thus:

Perimeter = FG + GH + FH

Substitute values for FG, GH, FH and Perimeter

87 = 6x + 7 + 8x - 5 + 10x - 11

Collect Like Terms

87 - 7 + 5 + 11= 6x + 8x + 10x

96= 24x

Reorder

24x = 96

Divide through by 24

x = 96/24

x = 4

Substitute 4 for x in FG, GH and FH

FG = 6x + 7

FG = 6 * 4 + 7

FG = 24 + 7

FG =31

GH = 8x - 5

GH = 8 * 4 - 5

GH = 32 - 5

GH = 27

FH = 10x - 11

FH = 10*4 - 11

FH = 40 - 11

FH = 29

In order of arrangement in descending order, we have:

FG =31    FH = 29     GH = 27

4 0
2 years ago
[URGENT] (25 points) Ryan randomly drew a marble out of a bag of marbles, then put it back. He did
Alenkasestr [34]

Answer:

Unpredictable

Step-by-step explanation:

Cuz if u look at it it is also random and u cant predict a random thing, so its quite simply unpredictable

4 0
2 years ago
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