53y + 9 + 5i6 + e3 + c8

The amount of trout y (in tons) caught in a lake from 1995 to 2014 can be modeled by the equation y = -0.08x2 + 1.6x + 10, where

Lapatulllka [165]

For this case, the first thing we want to do is substitute the value of y = 15 in the equation.
We have then:
15 = -0.08x ^ 2 + 1.6x + 10
Rewriting we have:
0 = -0.08x ^ 2 + 1.6x + 10 - 15
0 = -0.08x ^ 2 + 1.6x - 5
The solutions are:
x1 = 3.876275643042054
x2 = 16.123724356957947
Nearest whole number:
x1 = 4
x2 = 16
were about 15 tons of trout caught in the lake in the years:
1995 + 4 = 1999
1995 + 16 = 2011
Answer:
The year 1999 and the year 2011

3 0

3 years ago

What is 5/7 minus 1/2 equal to in like units

WARRIOR [948]

Answer:

3/14

Step-by-step explanation:

5/7 minus 1/2 is 5/7 - 1/2

5/7 and 1/2 are both called proper fractions. 5 and 1 in each fraction are called the numerator while 7 and 2 are called denominators

5/7 - 1/2

Step one

Find the lowest common multiple (LCM) of the denominators of each fractions

Multiples of 7

7 x 1 = 7

7 x 2 = 14

7 x 3 = 21

Multiples of 2

2 x 1 = 2

2 x 2 = 4

2 x 3 = 6

2 x 4 = 8

2 x 5 = 10

2 x 6 = 12

2 x 7 = 14

The lowest common multiple of 2 and 7 is 14

Step 2

The LCM of 2 and 7 becomes the common denominator for both fractions.

14/7 = 2

14/2 = 7

5/7 - 1/2 = [2(5) - 7(1)]/14 = (10 - 7)/14

= 3/14

8 0

3 years ago

6. Find LCM (10,14,63).

Katen [24]

Answer:

630 is the LCM

Step-by-step explanation:

You have to list all the multiples of each number till you find the lowest same value one which in this case it's 630.

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620, 630, 640, 650

Multiples of 14:

14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434, 448, 462, 476, 490, 504, 518, 532, 546, 560, 574, 588, 602, 616, 630, 644, 658

Multiples of 63:

63, 126, 189, 252, 315, 378, 441, 504, 567, 630, 693, 756

3 0

3 years ago

For which data representation is the median the better measure of center

arlik [135]

Answer: The second graph

In all but the 3 graphs, the data is perfectly symmetrical. This means that the mean and the median would be the same.

However, in the second graph the data is skewed to the right. This means that the mean would also be skewed to the right due to the larger scores there. Using the median in this case would give a clearer picture of the data.

8 0

4 years ago

Read 2 more answers

The graph of f(x)=cos(x) is transformed to a new function, g(x) , by stretching it horizontally by a factor of 4 and shifting it

SpyIntel [72]

The equation of the new function is $g(x)= cos4 x+1$