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fenix001 [56]
3 years ago
10

Which of the following statements best describes an angle that is in standard​ position? A. An angle is in standard position if

the vertex is at the origin of a rectangular coordinate system and the initial side lies along the negative ​ x-axis. B. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the positive​ y-axis. C. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the negative​ y-axis. D. An angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the positive​ x-axis.
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
8 0

Answer: D. an angle is in standard position if the vertex is at the origin of a rectangular coordinate system and the initial side lies along the positive x-axis.




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Marina86 [1]
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Hope this helped! :)
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The population of a certain city was 112,000 in 1998, and the observed relative growth rate is 4% per year. (a) Find a function
Zanzabum

Answer:

See Explanation

Step-by-step explanation:

Now;

From;

P=Poe^kt

Where;

P = population at time=t

Po = population initially present

k = growth rate

t = time taken

a) The function is;

P= 112,000e^0.04t

b) In the year 2004, the population will be

P= 112,000e^0.04(6)

P= 142380

c) 200,000 =112,000 e^0.04t

200,000/112,000 =  e^0.04t

1.786 = e^0.04t

ln 1.786 = ln e^0.04t

ln 1.786= 0.04t

t = ln 1.786/0.04

t = 14.5 years

6 0
2 years ago
Twelve more then the product of 5 and a number x? x is 2
yaroslaw [1]

Answer:

22

Step-by-step explanation:

5x

5 * 2 = 10

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=22

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3 years ago
Probability of numbers divisible by 9 from numbers 1-100?
quester [9]
11
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Those numbers divisible by 9 are the multiple of 9; thus need to know how many multiples of 9 there are between 1 and 100:

100 ÷ 9 = 11 r 1 ÷ last multiple of 9 is 11 × 9 (= 99)
→ There are 11 - 1 + 1 = 11 numbers between 1 and 100 which are divisible by 9.

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Substituting into point-slope form,

y-3=-4(x-2)\\\\y-3=-4x+8\\\\\boxed{y=-4x+11}

7 0
2 years ago
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