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Kaylis [27]
3 years ago
9

A restaurant is open from 2 pm to 2 am on a certain day, and a maximum of 200 clients can fit inside. If f(t) is the number of c

lients in the restaurant t hours after 2 pm that day.What is the reasonable domain for f? * 0 ≤ t ≤ 2 0 ≤ t ≤ 24 0 ≤ t ≤ 12
Mathematics
1 answer:
deff fn [24]3 years ago
8 0

Answer:

2

Step-by-step explanation:

It would have to be the same as the hours but also modified by 0.5

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Hello math olzzzzzzz
galben [10]

Answer:

<u>Checkmark:</u>

✓ The sequence is geometric

✓ The recursive formula for the sequence is An = A_{n-1}(-3); A_{1} =-2

✓ The explicit formula for the sequence is t_{n} = (-2) (-3)^{n-1}

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by -3 gives the next term.

r = -3

t_{n} = t_{1} r^{n-1}

t_{1} = -2

Substitute the values in the equation:

t_{n} = (-2) (-3)^{n-1}

This is a explicit formula since the next value depends on the position of n (1, 2, 3 .etc)

The recursive formula would be:

An = A_{n-1}(-3)

Checkmark:

✓ The sequence is geometric

✓ The recursive formula for the sequence is An = A_{n-1}(-3); A_{1} =-2

✓ The explicit formula for the sequence is t_{n} = (-2) (-3)^{n-1}

6 0
3 years ago
A 7-pack of DVDs costs $31.71. What is the unit price?
Alekssandra [29.7K]
Answer: $4.53

Explanation:
7 dvds cost 31.71 so divide 31.71 by 7
31.71/7 = 4.53
6 0
2 years ago
Read 2 more answers
Find the x &amp; the other length. Round answer to the nearest tenth. Please. Someone. Asap
DochEvi [55]

To find x:

use the formula: tan° = opposite/adjacent

tan 61° = x/10

answer: 18.0

other length:

use the formula: cos° = adjacent/hypo

cos 61° = 10/y

answer: 20.6

6 0
4 years ago
1. According to a recent survey, 13 out of the 33 students in a class take the bus to school. What is the ratio of students who
AlexFokin [52]

Answer: (1) 13/20    (2) 8    (3) Yes. They are proportional

<u>Step-by-step explanation:</u>

(1) 13 students take the bus.

   33 - 13 = 20 students do not take the bus

    \dfrac{\text{take the bus}}{\text{do not take the bus}}:\dfrac{13}{20}

(2)

\dfrac{2\ red}{3\ green}=\dfrac{x}{12\ green}\\\\\\\underline{\text{cross multiply}:}\\2(12)=3(x)\\24=3x\\8=x

(3)

\dfrac{6}{10}\div \dfrac{2}{2}\quad =\dfrac{3}{5}\\\\\\\dfrac{9}{15}\div \dfrac{3}{3}\quad =\dfrac{3}{5}\\\\\\\dfrac{15}{25}\div \dfrac{5}{5}\quad =\dfrac{3}{5}

All of the fractions simplify to the same number so they ARE proportional.

4 0
3 years ago
4. For which of the following probability assignments are events A and B independent?
Aleksandr [31]

Answer:

A

Step-by-step explanation:

formatting is so bad lol

but yeah its the first one because for independent events, the probably of a and b is the product of both probabilities, just like how 0.3*0.4=0.12

3 0
3 years ago
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