Jason and Mark have volunteered to fill water into the two dunk tanks for their scout field days. The amount of water in Jason's dunk tank is represented by the equation below, where W represents the amount of water, in gallons, x minutes after he began to fill.

The answer is below

Step-by-step explanation:

Jason and Mark have volunteered to fill water into the two dunk tanks for their scout field days. The amount of water in Jason's dunk tank is represented by the equation below, where W represents the amount of water, in gallons, x minutes after he began to fill.

w=2^x+1

The amount of water in Mark's dunk tank is represented by the equation below, where W represents the amount of water, in gallons, x minutes after he began to fill.

w=10x+5  

Using graphing technology, complete the statements.

After Blank minutes, the total amount of water in both dunk tanks will be the same.The total amount of water at that minute will be Blank gallons.

Solution:

We are to solve the above problem using a graphing calculator.

The problem was solved using an online graphing calculator. y represents the amount of water, in gallons, x minutes after he began to fill.

The point of intersection is at A(6, 65) and B(-0.31,1.8). But since we cant have a negative time, hence the only valid point of intersection is A(6, 65).

Therefore, After 6 minutes, the total amount of water in both dunk tanks will be the same .The total amount of water at that minute will be 65 gallons.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2