Answer:
h(t) = -5t + 500
Step-by-step explanation:
At time zero, the elevator is at 500 ft.
At time 5 seconds, the elevator is at 475 ft.
The difference in height is -25 ft.
The elevator traveled -25 ft (25 ft down) in 5 seconds, so it travels at a speed of 5 ft per second. Since it is traveling down, its speed is -5 ft/sec.
For each second of travel, it loses 5 ft of height.
h(t) = -5t + 500
Answer:
= (3t+2)(3t-2)(3t-4)
Step-by-step explanation:
Given the expression 27t^3 - 36t^2 - 12t + 16
On factoring:
(27t^3 - 36t^2) - (12t + 16)
= 9t²(3t-4)-4(3t-4)
= (9t²-4)(3t-4)
factoring 9t²-4
9t²-4 = (3t)² - 2²
From different of two square, a²-b² = (a+b)(a-b)
Hence (3t)² - 2² = (3t+2)(3t-2)
= (9t²-4)(3t-4)
= (3t+2)(3t-2)(3t-4)
Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)
Answer:
let the past stay in the past
Step-by-step explanation:
Answer:
he age of girl 3 
years ago is 8.5 years .
Step-by-step explanation:
Given as :
The present age of seventh grader girl = 12 years
Let The age of her 3 years ago = x years
So The age of girl 
years ago = x years
<u>Now, According to question</u>
The age of girl 3.5 years ago = 12 - 3.5
Or, The age of girl 3.5 years ago = 8.5 years
Hence The age of girl 3 years ago is 8.5 years . Answer
Answer:
They will finish in time for Jamal to catch the bus.
Step-by-step explanation:
Jamal agreed to bring four dozen i.e. 48 cupcakes in for sale.
He started icing cupcakes at 7:40 a.m. at a rate of 3 cupcakes per minute up to 7:50 a.m. that is the time when he needs to be out of his house to catch his bus.
So, with in this 10 minutes (7:40 a.m. to 7:50 a.m.) he would be able to make (10 × 3) = 30 cupcakes.
Now, at 7:44 his older sister started icing cupcakes too. she iced them at a rate of 4 cupcakes per minute.
So, in this 6 minutes (7:44 a.m. to 7:50 a.m.) she will be able to make (4 × 6) = 24 cupcakes.
Therefore, in total Jamal will be able to made (30 + 24) = 54 cupcakes.
Since, 54 > 48 so, they will finish in time for Jamal to catch the bus. (Answer)
