Answer:
3/40
Step-by-step explanation:
Therefore, the answer is 3/40!
Answer: I don’t know what options you have but I graphed it in the picture linked below
Wording is everything. Here, there are some issues. "... at the rate of 1/2 per month" can be interpreted to mean that at the end of the first month, there are 649 1/2 items in Marie's closet (decreased by 1/2 from 650).
"The number of items Dustin adds" could mean 5 items, the number he adds each month. The wording should specify the time period or whether we're talking about the total number Dustin has added.
We assume your description means that the number of items in Marie's closet at the end of each month is 1/2 what it was at the beginning. (As opposed to decreasing by 1/2 item each month.) We assume we're interested in the total number of items of Dustin's that are in the closet.
Marie's quantity can be modeled by ...
... m = 650·(1/2)^t . . . . . t = time in months
Dustin's quantity can be modeled by ...
... d = 5t
There will be one solution for d=m, at about t = 4.8. At that point, Dustin will have added about 24 items, which will be the number Marie is down to.
There is a viable solution for d=m at about t = 4.8.
Answer:
The resultant of two forces of 7N and 3N acting at a right angle to one another is √58 N.
Step-by-step explanation:
Let the magnitude of the force of 7N be denoted as “F₁” on the x-axis and the magnitude of the force of 3N be denoted as “F₂” on the y-axis.
We are given that the two forces make an angle of 90° to one another as shown in the figure attached below.
Also, in the figure, we can see that the resultant force is denoted as “F”.
Now,
The magnitude of the resultant force can be calculated by using the Pythagoras theorem,
∴ F = √[F₁² + F₂²]
⇒ F = √[7² + 3²]
⇒ F = √[49 + 9]
⇒ F = √[58] N