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sergiy2304
2 months ago
15

A battery with 20% percent of its full capacity is connected to a charger. Every minute that passes, an additional 5% percent of

its capacity is charged. How do you graph this

Mathematics
1 answer:
Inessa [12.5K]2 months ago
3 0

Response:

The connection between battery capacity and time is:

Y=0.05t+0.2

The associated graph is provided.

Step-by-step explanation:

We will plot the battery's charged capacity against time.

The charging rate remains steady; hence, the relationship is linear.

Initially, at time t=0, the battery's capacity measures 0.2 (or 20%).

With each passing minute, an additional 5% of its capacity is accumulated. Thus, at t=1, the capacity becomes 0.2 + 0.05 = 0.25 (or 25%).

We can derive the slope for the linear function as:

m=\dfrac{\Delta Y}{\Delta t}=\dfrac{0.05}{1}=0.05

Consequently, the correlation between battery capacity and time is:

Y=0.05t+0.2

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A company that is selling computer tablets has determined that it regularly makes a net profit of $180 for each computer tablet
PIT_PIT [12445]

Response:

Based on the anticipated number of individuals completing the form to claim the refund, the company ought to foresee its net profit decreasing to:

  • $174.6 per computer tablet.

Detailed explanation:

Initially, the profit per tablet is $180, but after initiating the rebate program, it is expected that 18% of purchasers will fill out the forms and obtain the VISA card, which will lower the profit as demonstrated below:

  • Calculation of the reduced benefit for 18% of computer tablets = original benefit - refund amount.
  • Reduced benefit for 18% of tablets = $180 - $30 = $150

From here, we find that 18% of tablets will yield a benefit of $150, while the other 82% will maintain a benefit of $180. To ascertain an overall figure for the benefit, we must compute it as follows:

  • Total benefit = Percentage of reimbursed tablets * Benefit of reimbursed tablets + Percentage of non-reimbursed tablets * Benefit of non-reimbursed tablets.
  • Overall profit = 18% * 150 + 82% * 180
  • Overall profit = $174.6

Thus, after the $30 rebate on 18% of the tablets, the total benefit amounts to $174.6.

6 0
1 month ago
What is a34 of the sequence 9,6,3,
PIT_PIT [12445]

Step-by-step explanation:

What is a34 of the sequence 9,6,3,..

r=a2-a1

r=6-9

r=-3

a34=a1+33.r

a34=9+33.(-3)

a34= 9-99

a34= -90

hope this helps!

bye!

8 0
2 months ago
Read 2 more answers
Moesha and Keyon are mailing invitations for their wedding. They have $50 to spend and each invitation costs $1.25 to mail. The
zzz [12365]

Answer:

The solution to the equation is 40

This indicates the max number of wedding invitations they can afford to send within their budget.

Step-by-step explanation:

To find the zero of the function, we set the dependent variable (here, m) to zero.

So we have;

0 = 50-1.25w

1.25w = 50

w = 50/1.25

w = 40

What implication does this have in this context?

Essentially, it means that the couple can send out invitations to a total of 40 people based on their budget.

7 0
2 months ago
Mark and robyn used base-ten blocks to show that 200 is 100 times as much as 2. Whose model makes sense whose model is nonsense?
babunello [11817]

Answer:

Robyn's model is logical, while Mark's is illogical.

Step-by-step explanation:

This question doesn't require calculations. What we need to do is analyze each model logically.

Mark's

Mark's representation indicates 20 instead of 2, which signifies that 200 is ten times greater than 20, making it nonsensical.

Robyn's

Robyn's representation displays 2, suggesting that 200 is 100 times greater than 2, which is not only accurate but also reasonable since 100 * 2 equals 200.

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2 months ago
There are 11 portable mini suites (a.k.a. cages) in a row at the Paws and Claws Holiday Pet Resort. They are neatly labeled with
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Step-by-step explanation:

a) 7!

In absence of any restrictions, the answer is 7! as it represents the permutations of all animals.

b) 4! x 3!

Considering there are 6 cats and 5 dogs, the first and last slots must be occupied by cats to ensure alternate arrangements. The only options available then are based on the arrangement of the cats among themselves and the dogs among themselves, yielding 4! permutations for the cats and 3! for the dogs, thus leading to a total of 4! x 3! arrangements.

c) 3! x 5!

Here, the arrangement of the dogs among themselves can occur in 3! ways. Considering the dogs as a singular “object,” we can arrange this unit with the 4 cats, providing 5! total arrangements possible, leading to 3! · 5! arrangement possibilities.

d) 2 x 4! x 3!

In this scenario, both cats and dogs must be grouped together, allowing positions where all cats come before the dogs or vice versa. As there are two configurations, the resultant count is 2 multiplied by both arrangements, resulting in 2 x 4! x 3!

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2 months ago
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