Answer: -8.93
Step-by-step explanation:
Given the function:
N(X) = 90(0.86)^x+ 69
X in the interval [0, 6]
For X = 0
N(0) = 90(0.86)^0 + 69
90 + 69 = 159
For X = 6
N(6) = 90(0.86)^6 + 69
90(0.404567235136) + 69
= 105.41105116224
Therefore, average change of change in temperature ;
(temp 2 - temp 1) / ( time 2 - time)
(105.41105116224 - 159) / (6 - 0)
= - 53.58894883776 / 6
= - 8.93149147296
= - 8.93
Answer:
10 seconds
Step-by-step explanation:
Find the zeros by equating f(x) to zero, that is
- 5x² + 50x = 0 ← factor out - 5x from each term
- 5x(x - 10) = 0
Equate each factor to zero and solve for x
- 5x = 0 ⇒ x = 0
x - 10 = 0 ⇒ x = 10
x = 0 denotes the time when the ball is struck and x = 10 when the ball returns to the ground.
Time in air = 10 - 0 = 10 seconds
Nick : 12, 24, 36,48,60,72,..... 180
Victoria: 20, 40, 60,80....180
Boris: 18,36,54,.....180
they will be together on day 180
good luck
To start the day, Jeff had $46.18
he gave half to his brother so
46.18/2 = 23.09
he has $23.09 left
he bought two donuts for $0.75 each
2 * 0.75 = $1.50
23.09 - 1.50 = 21.59
he now has $21.59
now he bought a coffee for $2.99
21.59-2.99= 18.60
Jeff has $18.60 left
Answer:
54 liters
Step-by-step explanation:
the right term to describe the capacity is volume
volume = height × length × width
(depth and height have the same meaning)
volume = 30 × 30 × 60
volume = 54000 cm³
1 liter = 1 dm³
54000 cm³ = 54000÷ 1000
(why divided by 1000 not 10? because its cm³ which means cm × cm × cm => 10 × 10 × 10)
54000 cm³ = 54 dm³
then
54 dm³ = 54 liters