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Bezzdna [24]
3 years ago
6

When Sanchez left his house this morning, his cell phone was 30% charged and it then started to lose 3% charge for each hour the

reafter. Write an equation for the function B(t), representing the charge remaining in Sanchez's battery, as a percentage, t hours after he left his house.
Mathematics
1 answer:
Radda [10]3 years ago
3 0

Answer:

The equation that represents the battery charge in Sanchez's phone as a percentage t hours after he left his house is B(t) = 30 - 3*t.

Step-by-step explanation:

The initial state of the battery on Sanchez's phone is 30% so in time t equals zero the battery should be at that value and as time progresses the battery should lose battery charge at a rate of 3% for each hour. We can write this in an equation form by taking the initial state and subtract it by the rate multiplied by the value of time. We have:

B(t) = 30 - 3*t

The equation that represents the battery charge in Sanchez's phone as a percentage t hours after he left his house is B(t) = 30 - 3*t.

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a model car is one tenth of the size of the real car the models measures 42cm longs what the length of length of the real car
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3 years ago
Suppose that 7 female and 5 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at ra
katen-ka-za [31]

Answer:

(a) 350

(b) 175

(c) 21

(d) 196

Step-by-step explanation:

Number of females = 7

Number of males = 5

Total ways of selecting r items from n items is

^nC_r=\dfrac{n!}{r!(n-r)!}

(a)

Total ways of selecting 3 females and 2 males.

\text{Total ways}=^7C_3\times ^5C_2

\text{Total ways}=\dfrac{7!}{3!(7-3)!}\times \dfrac{5!}{2!(5-2)!}

\text{Total ways}=35\times 10

\text{Total ways}=350

(b)

Total ways of selecting 4 females and 1 male.

\text{Total ways}=^7C_4\times ^5C_1

\text{Total ways}=32\times 5

\text{Total ways}=175

(c)

Total ways of selecting 5 females.

\text{Total ways}=^7C_5\times ^5C_0

\text{Total ways}=21\times 1

\text{Total ways}=21

(d)

Total ways of selecting at least 4 females.

Total ways = 4 females + 5 females

\text{Total ways}=175+21

\text{Total ways}=196

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4 years ago
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Answer:

88 cm²

Step-by-step explanation:

Each square is 1 cm². Count the squares of each face and add them.

Front face (purple): 14 cm²

Back face (hidden): 14 cm²

Right lower face (orange): 6 cm²

Right upper face (orange): 6 cm²

Left face (hidden): 12 cm²

Upper top face (blue): 3 cm²

Lower top face (blue): 15 cm²

Bottom face (hidden): 18 cm²

Add all areas above:

88 cm²

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Letter B and Letter C would be correct
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