Answer:
Step-by-step explanation:
- The job can be completed by 7 people in 11 days
- The job is equivalent of 7*11 = 77 people*days
<u>After 3 days, job left:</u>
- (11 - 3)*7 = 56 people*days
This was completed by 7 - x people as x people left
<u>Time needed was 14 days, we have new equation:</u>
- 14(7 - x) = 56
- 7 - x = 4
- x = 7 - 4
- x = 3
As we found, 3 people left
Answer:
(√74, 54.46°)
Step-by-step explanation:
The rectangular coordinate point is given as; (5, 7)
Now, converting rectangular coordinates to polar coordinates is done by;
(r, θ)
Where, r is the magnitude while θ is the angle
r = √(5² + 7²)
r = √74
tan θ = (7/5)
θ = tan^(-1) 1.4
θ = 54.46°
Thus,polar coordinate is; (√74, 54.46°)
Nadia made a total of $825 last week in
commission sales
About 92 days are taken for 90 % of the material to <em>decay</em>.
The mass of radioisotopes (
), measured in milligrams, decreases exponentially in time (
), measured in days. The model that represents such decrease is described below:
(1)
Where:
- Initial mass, in milligrams.
- Current mass, in milligrams.
- Time constant, in days.
In addition, the time constant is defined in terms of half-life (
), in days:
(2)
If we know that 
, 
and 
, then the time required for decaying is:
About 92 days are taken for 90 % of the material to <em>decay</em>.
We kindly invite to check this question on half-life: brainly.com/question/24710827
Answer: 2.7mm
Step-by-step explanation:
The formula for the circumference of a circle is given as 2πr. In thkw case, thw circumference is 17mm.
Therefore, 2πr = 17
2 × 3.14 × r = 17
6.28r = 17
r = 17/6.28
r = 2.7mm
Therefore the radius of the circle is 2.7mm
