Answer:
F(t) = 10 +5t
Step-by-step explanation:
Income equals the initial fee plus the hours worked times the hourly rate
We know the initial fee = 10
hours = t
hourly rate =r
F(t) = 10 + r*t
We know a 5 hour job is 35 dollars
35 = 10 + r*5
Subtract 10 from each side
35-10 = 10-10 +5r
25 = 5r
Divide by 5
25/5 = 5r/5
5 =r
The hourly rate is 5
F(t) = 10 +5t
Answer:
Not Linear
Step-by-step explanation:
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 3.
Answer:
sin-¹(10/11)
Step-by-step explanation:
The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .
- We can use ratio sine here. Let the angle of elevation be theta.
<u>In </u><u>∆</u><u> </u><u>ABC </u><u>:</u><u>-</u><u> </u>
=> sinθ = p/h
=> sinθ = 100ft / 110 ft
=> sinθ = 10/11
=> θ = sin -¹ ( 10/11) .
<h3><u>Hence </u><u>the</u><u> </u><u>angle</u><u> of</u><u> elevation</u><u> </u><u>is </u><u>sin </u><u>-</u><u>¹</u><u> </u><u>(</u><u> </u><u>1</u><u>0</u><u>/</u><u>1</u><u>1</u><u>)</u><u>. </u><u> </u></h3>
log(4)x + log(4)(x + 5) = 6
log(4)x + log(4)x + log(20) = 6
log(8)x + log(20) = 6
<u> - log(20) - log(20)</u>
<u>log(8)x</u> = <u>6 - log(20)</u>
log(8) log(8)
x ≈ 0.999