Answer:
1 and 4 are correct. 2 and 3 are not.
Step-by-step explanation:
1.
When x = 0 where does the horse start?
y = 1.5*sin(0 + 0.5)*2*pi + 1.5
y = 1.5*sin(0.5*2pi) + 1.5
y = 1.5*sin(pi) + 1.5 But sin pi = 0
y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.
2.
This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.
3.
You can figure this one out by letting x = 0.01 When it does then the value of the function is
y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5
y = 1.5*sin(0.51*2*pi) + 1.5
y = 1.5*sin(3.204424) + 1.5
y = 1.5*(- .0623) + 1.5
y = -0.9418 + 1.5
y = 1.4058 so it is going downward The value is getting smaller.
4.
The horse starts out in the middle of the pole. What does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)
That happens when x = 0.5 which is 1/2 a minute. If it takes 1/2 a minute to execute 1 complete cycle, then in 5 minutes the cycle will be executed 10 times. This one is correct.
Answer:
Step-by-step explanation:
Unit rate = $32/(5 pounds) = $6.40/pound
[You can convert that to smaller units:
$6.40/pound × (1 pound)/(16 ounces) = $0.40/ounce]
:::::
Cost = (number of pounds) × $6.40/pound
:::::
12 pounds × $6.40/pound = $76.80
Answer:
y < 25x , or y = kx { where k < 25 } , or choosing a time saving worker {as fee is in terms of hours}
Step-by-step explanation:
Services cost : y = 25x , where y is the total fee and x is the number of hours worked.
If customer is looking to choose the less expensive cleaning service ; he / she has following options -
- Choosing fee structure where y < 25x
- Choosing y = k x , where k per hour fee is lesser
- Choosing time efficient worker, as fee is in regards hours utilised.
Answer:
2x^7
Step-by-step explanation:
Multiply
x
^4 by x
^3 by adding the exponents.
Answer:
From the chapter Playing with numbers
we can define derek has 2×10^2 + 7 × 10^1 + 7× +0^0
as If ABC a number then ABC can be written as 10^2A+10^1B+10^0C
Hope it helps
