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myrzilka [38]
3 years ago
12

While playing games on a particular smart phone, 1% of the battery is drained every five minutes of game play. The battery start

s off at 80% full . This can be represented by b(m)=80-m/5. What does B(75) represent?
Mathematics
1 answer:
Nostrana [21]3 years ago
8 0

Answer:

B(75) represents the percent of battery full after 75 minutes of game play

Step-by-step explanation:

Let m represent the number of minutes of game play. If  1% of the battery is drained every five minutes of game play, then after m minutes of game play \dfrac{m}{5}\% was drained.

The battery starts off at 80% full. After m minutes the battery will have

B(m)=80-\dfrac{m}{5}

percent full.

When m=75 minutes, then

B(75)=80-\dfrac{75}{5}=80-15=65\%.

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Farmer Ed has 8,000 meters of fencing & wants to enclose a rectangular plot that borders a river. If farmer Ed does not fenc
attashe74 [19]

Answer:

largest area that can be enclosed = 8,000,000 m²

Step-by-step explanation:

Since it is a rectangle plot, the area is expressed as; A = xy, where x is length and y is width.

Because it is next to the river, he only needs to fence three sides, so amount of fencing; F = x + 2y.

Since we know the amount of fencing available is 8000m, we get:

8000 = x + 2y

solving for x, we have;

x = 8000 - 2y

substitute 8000 - 2y for x into the area equation to give;

A = (8000 - 2y)y distribute

A = -2y² + 8000y

Now, due to the negative sign next to 2, this will be a parabola which opens down, meaning that the point of maximum area will be at the vertex,

Thus; y = -b/2a = -8000/[2(-2)] = 2000

x = 8000 - 2(2000) = 4000

A = 4000(2000) = 8,000,000 m²

8 0
3 years ago
2. Mrs. Siebenaller bought a “bus” for $25,000 with a 7% interest rate. Mrs. S. gets a loan to pay off in 5 years. How much inte
PSYCHO15rus [73]

Answer: the correct option is A

Step-by-step explanation:

Cost of the bus is $25000. She took a loan of $25000 to be paid of in 5 years at an interest rate of 7%.

The formula for simple interest is expressed as

I = PRT/100

Where

I = interest

P = principal or initial amount borrowed

T = time in years

R = interest rate in percentage

From the information given,

P = 25000

R = 7%

T = 5 years

Therefore

I = (25000 × 7 × 5)/100 = 875000/100

I = $8750

3 0
3 years ago
Read 2 more answers
A plant produces 500 units/hour of an item with dimensions of 4” x 6” x 2”. The manager wants to store two weeks of supply in co
mart [117]

Answer:

  564 ft²

Step-by-step explanation:

To account for the extra space between units, we can add 2" to every unit dimension and every box dimension to figure the number of units per box.

Doing that, we find the storage box dimensions (for calculating contents) to be ...

  3 ft 2 in × 4 ft 2 in × 2 ft 2 in = 38 in × 50 in × 26 in

and the unit dimensions to be ...

  (4+2)" = 6" × (6+2)" = 8" × (2+2)" = 4"

A spreadsheet can help with the arithmetic to figure how many units will fit in the box in the different ways they can be arranged. (See attached)

When we say the "packing" is "462", we mean the 4" (first) dimension of the unit is aligned with the 3' (first) dimension of the storage box; the 6" (second) dimension of the unit is aligned with the 4' (second) dimension of the storage box; and the 2" (third) dimension of the unit is aligned with the 2' (third) dimension of the storage box. The "packing" numbers identify the unit dimensions, and their order identifies the corresponding dimension of the storage box.

We can see that three of the four allowed packings result in 216 units being stored in a storage box.

If storage boxes are stacked 4 deep in a 9' space, the 2' dimension must be the vertical dimension, and the floor area of each stack of 4 boxes is 3' × 4' = 12 ft². There are 216×4 = 864 units stored in each 12 ft² area.

If we assume that 2 weeks of production are 80 hours of production, then we need to store 80×500 = 40,000 units. At 864 units per 12 ft² of floor space, we need ceiling(40,000/864) = 47 spaces on the floor for storage boxes. That is ...

  47 × 12 ft² = 564 ft²

of warehouse floor space required for storage.

_____

The second attachment shows the top view and side view of units packed in a storage box.

4 0
3 years ago
The table shows information about some children.
Sindrei [870]

Answer:

P(Age\ 12) = \frac{2}{3}

Step-by-step explanation:

Given

        Age 11    Age 12    Total  

Girls   3             5              8

Boys   1             3             4

Required

P(Age\ 12)

The number of aged 12 children is:

Age\ 12 = 5 + 3

Age\ 12 = 8

The total number of children is:

Total=8+4

Total = 12

So, we have:

P(Age\ 12) = \frac{Age\ 12}{Total}

P(Age\ 12) = \frac{8}{12}

Simplify

P(Age\ 12) = \frac{2}{3}

3 0
3 years ago
What is the perimeter of the figure below?
Drupady [299]

Answer:

Step-by-step explanation:

To find the perimeter, you would have to add all the expressions together, so you would get 2x+x+x+y+y+1+y+y

combine like terms and you will get 4x+4y+1

7 0
3 years ago
Read 2 more answers
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