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3 years ago

Ricky Major

Mathematics

1 answer:

Assoli18 [71]3 years ago

5 0

Answer:

Step-by-step explanation:

The diameter of each curved path is 200 feet. Since the two curved semi circular paths are equal, they would form a circle. It means that the distance around the two semi circular paths would be the circumference of the circle. Formula for determining the circumference of the circle is π × diameter. It becomes

200 × 3.14 = 628 feet

Total distance around the track would be

300 + 300 + 628 = 1228 feet

5280 feet = 1 mile

1228 feet = 1228/5280 = 0.23 mile

If he runs around the track exactly 15 times, it means that the number of miles covered is

0.23 × 15 = 3.45 miles

Since he will collect $4.50 for every mile he runs, the amount of money that he collected is

4.5 × 3.45 = $15.5

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On most state highways, the fine for speeding depends on the speed of the car. In a certain state, suppose the fine as a functio

Georgia [21]

Graphs can be used to model real world situations.

The coordinates of the graph is gotten by adding 5 to the y-values of the function (see attachment for graph)

The function of the graph is represented as (n, f(n)); where

$n \to$ speed

$f(n) \to$ fine for over speed

When the fine increases by $5 for every speed limit.'

The new function becomes:

$g(n) = f(n) +5$

The points on the graph are represented as:

$f(5) = 25$

$f(10) = 50$

$f(15) = 75$

$f(20) = 110$

$f(25) = 150$

$f(30) = 200$

$f(35) = 270$

So, the new points would be calculated as follows:

$g(n) = f(n) +5$

$g(5) = 25 + 5 = 30$

$g(10) = 50 + 5 = 55$

$g(15) = 75 + 5 = 80$

$g(20) = 110 + 5 = 115$

$g(25) = 150 + 5 = 155$

$g(30) = 200 + 5 = 205$

$g(35) = 270 + 5 = 275$

See attachment for the new graph

Read more about graphs and functions at:

brainly.com/question/18806107

4 0

3 years ago

Written Response! Please help!

sertanlavr [38]

Answer:

Hey there! The answer to your question is 30%

Step-by-step explanation:

Work:

50%+20%=70

Than you do 100-70 and the answer would be 30%

so picking a purple marble Is likely to occur.

= 30%

Hope that helps!

By: xBrainly

3 0

3 years ago

Find the minimum value of P=5x+6y subject to the following constraints. Please help me!!

Rashid [163]

Answer:

The maximum value of P is 34 and the minimum value of P is 0

Step-by-step explanation:

we have the following constraints

$x+y \leq 6$ ----> constraint A

$2x+3y \leq 16$ ----> constraint B

$x\geq 0$ ----> constraint C

$y\geq 0$ ----> constraint D

Solve the feasible region by graphing

Using a graphing tool

The vertices of the feasible region are

(0,0),(0,5.33),(2,4),(6,0)

see the attached figure

To find out the maximum and minimum value of the objective function P, substitute the value of x and the value of y for each of the vertices in the objective function P, and then compare the results

we have

$P=5x+6y$