The athlete drink 16 ounces of water every two hours starting at 7:30 AM and continuing for the next 14 hours. A) how many quart

Refer to the diagram illustrated below.

The specified constraints are
(a) y ≥ 24 ft
(b) x ≤ 10 ft
(c) y ≥ 3x
(d) y ≤ 33 ft
The shaded area represents the permissible region.

A (0, 33) meets all criteria
B (4, 36) does not satisfy condition (d)
C (4.8, 30.5) meets all criteria
D (9, 26) does not meet condition (c)
E (2, 22) does not satisfy condition (a)

Response:
The valid points are A and C.

Answer:

A total of 200 students were present at the basketball game

Step-by-step explanation:

Refer to the full question shown in the attached figure

Let

x be the total number of fourth graders

y represent the total attendees at the game

It is known that

The number of game attendees is four times the number of fourth graders

Thus

The linear expression is

-----> equation A

-----> equation B

Replace equation B into equation A and solve for y

Therefore

200 students were present at the basketball event

Answer:

After five years beyond the initial 20-year stretch, the population of this small community will be 4268.

Step-by-step explanation:

t | 0 | 5 | 10 | 15 | 20

p | 100 | 200 | 450 | 950 | 2000

The representation of the exponential function is:

p = aeᵏᵗ

where a and k represent constants.

Taking the natural logarithm on both sides:

In p = In aeᵏᵗ

In p = In a + In eᵏᵗ

In p = In a + kt

In p = kt + In a.

We can apply linear regression to model the relationship between In p and t, thereby determining the values of k and In a.

t | 0 | 5 | 10 | 15 | 20

p | 100 | 200 | 450 | 950 | 2000

In p | 4.605 | 5.298 | 6.109 | 6.856 | 7.601

In p = kt + In a.

y = mx + b

Here m corresponds to k and b is In a

By conducting a linear regression on the transformed linear relationship among In p and t and creating a graph of the variables, we derive the regression equation:

y = 0.151x + 4.584

The first image illustrates the equations needed for estimating the parameters of linear regression.

The second image displays the regression calculations alongside the graph of In p versus t.

By comparing

y = 0.151x + 4.584

to

In p = kt + In a.

y = In p

k = 0.151

x = t

In a = 4.584

a = 97.905

Thus, the exponential relationship between p and t is formulated as:

p = 97.905 e⁰•¹⁵¹ᵗ

In order to forecast the population for 5 years ahead from the 20-year mark, we need to find p at t=25 years.

0.151 × 25 = 3.775

p(t=25) = 97.905 e³•⁷⁷⁵ = 4268.41, which rounds down to 4268.

Hope this assists!!!

The Answer is A. Step-by-step explanation: I just completed the quiz on edgenuity.

By expressing the equation in its standard format, we have: ax^2 + bx + c = 0. First, we expand (x + 15)(x) = 100 to get x^2 + 15x - 100 = 0. Next, from (x + 20)(x - 5) = 0, we find the solutions to be x = -20 and x = 5. Hence, the accurate choice is option B. We discard x = -20 since it is not a valid solution.