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Mr Hughes is competing in the Mr. Legs campaign to raise money for the coral shores high school scholarship fund. On the first d

lakkis [162]

<span>The number of dollars collected can be modelled by both a linear model and an exponential model. To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8) The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3 y - 2 = 3(x - 1) = 3x - 3 y = 3x - 3 + 2 = 3x - 1 Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17 To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2. 8 = 2r^(3 - 1) = 2r^2 r^2 = 8/2 = 4 r = sqrt(4) = 2 Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>

4 0

3 years ago

Read 2 more answers

Which of the following sets could be the sides of a right triangle?

Genrish500 [490]

Answer:

None of the above

Step-by-step explanation:

None of the answer choices are even triangles, let alone right triangles. The sum of the two smaller sides isn't larger than the bigger side on any of the triangles, which means that they cannot be closed.

3 0

3 years ago

You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 115 km south and 112 km east. Mt. Rainier is locat

Mars2501 [29]

Answer:

5 minutes 4.8 seconds

Step-by-step explanation:

We can work this problem several ways. One is to determine the component of the distance from JBLM to the mountain that is in the direction the plane is flying. We can do that by finding the dot product of the vector to the mountain with the normalized direction vector of the airplane:

JA = JR•(JP/|JP|) . . . . . . where JR = (56, -40) and JP = (112, -115)

= (56, -40)•(112, -115)/√(112² +115²)

JA = 10872/√25769 ≈ 67.7268 . . . . km

__

At a speed of 800 km/h, this distance will be covered in ...

time = distance/speed

time = (67.7268 km)/(800 km/h) = 0.0846585 h

That's about 5 minutes, 4.8 seconds.

_____

In the attached diagram, J represents JBLM, R represents Mt. Rainier, A represents the point of closest approach, and P would represent the location of the airplane after 1 hour of flying time, (112, -115). In the above, we have used the names of these line segments/vectors.

6 0

3 years ago

Identify the vertex of the quadratic function in standard form y=2x^2 -16x+31

lapo4ka [179]

Answer:

(4,1)

Step-by-step explanation:

The vertex of the quadratic can be found using -b/2a. The vertex is the point (-b/2a, f(-b/2a)).

To find the x coordinate of the quadratic, define its a,b, and c. The quadratic has a = 2, b=-16, and c=31. Then -b/2a is -(-16)/2(2) = 16/4 = 4.

To find the y-coordinate, input the x=4 and solve for y.

$y=2(4)^2-16(4)+31\\y=2(16)-64+31\\y=32-64+31\\y=1$

The vertex is (4,1).

8 0

3 years ago

If x=4 then what's the value of x to the power 4 + 1 by x to the power 4

Bumek [7]

Answer:

257/256

Step-by-step explanation:

x=4

x^4+1/x^4

4^4+1/4^4

256+1/256

257/256

7 0

3 years ago