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fgiga
8 days ago
11

What does the number 160 represent in the rational function that models the situation?

Mathematics
You might be interested in
Nik needs to estimate how many books will fit in a bin. Each book is 1 ft tall, 0.5 ft wide, and 0.1 ft thick. The bin is 5 feet
lawyer [12517]

Answer:

600 books

Step-by-step explanation:

The dimensions of the bin are

5 by 2 by 3

The volume of the bin is found by multiplying these three dimensions.

Volume of Bin = 5 * 2 * 3 = 30 cubic feet

To find the volume of each book, we use the same method. The dimensions of one book are:

1 by 0.5 by 0.1

Volume of 1 book = 1 * 0.5 * 0.1 = 0.05 cubic feet

The total number of books fitting into the bin is calculated by:

30/0.05 = 600 books

6 0
4 months ago
Before the last school year began, it was estimated that the average discretionary personal expenses each school year for a stud
tester [12383]

Answer:

M=2,179.29

The average exceeds the estimate

Her expenses would need to be $1,625.00

Step-by-step explanation:

1.) What is the mean of her friends' personal expenses?

The mean is defined as the average expense value, calculated as follows:

M=\frac{2,800+1,990+2,005+2,400+1,860+2,200+2,000}{7}\\M=2,179.29

2.) Is the average higher or lower than the estimate?

Given the estimate of $2,110, the average is indeed higher than this estimate.

3.)What amount of personal expenses would Ashley need to maintain a combined average of $2,110 with her friends' amounts for that school year?

M= 2,110=\frac{7*2,179.29+x}{8} \\x=2,110*8 - 15,255\\x=1,625

Her needed amount of expenses would be $1,625.00.

4 0
2 months ago
Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)
Zina [12379]

The y-intercept is the location where any graph meets the y-axis.

Conversely, the x-intercept is where a graph intersects the x-axis.

This indicates that the coordinates at the intercept will always have the x-value as 0. Therefore, points of the format (0, y) represent y-intercepts, while points in the format (x, 0) indicate x-intercepts.

The provided points are:

(0,-6): y-intercept

(-2,0): x-intercept

(-6,0): x-intercept

(0,-2): y-intercept

3 0
3 months ago
Read 2 more answers
During batting practice, two pop flies are hit from the same location, 2 s apart. The paths are modeled by the equations h = -16
Inessa [12570]

Answer:

2.5 seconds after the initial ball was struck.

Step-by-step explanation:

The height equations are:

  • h = -16t² + 56t
  • h = -16t² + 156t - 248

At the point where the balls intersect, both heights are alike, therefore:

-16t² + 56t = -16t² + 156t - 248

-16t² + 56t + 16t² - 156t + 248 = 0

- 100t + 248 = 0

248 = 100t

t = 248/100

t = 2.48 ≈ 2.5

4 0
3 months ago
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