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Solnce55 [7]
3 years ago
14

Express the ratio as a fraction in the lowest term.500m:1km​

Mathematics
1 answer:
snow_lady [41]3 years ago
7 0

Step-by-step explanation:

500:1000

500/500:1000/500(both divided by 500-

1:2

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I need help completing this answer are you available
melomori [17]

Answer:

Step-by-step explanation:

7 0
2 years ago
Trig: Which complex number's graph is shown?
Andrei [34K]

ANSWER

2 \sqrt{2} ( \cos( \frac{7\pi}{4}   + i  \sin(  \frac{7\pi}{4} ) )

EXPLANATION

The complex number shown has coordinates (2,-2)

or

z = 2 - 2i

The modulus is

|z|  =  \sqrt{ {2}^{2}  +  {( - 2)}^{2} }

|z|  =  \sqrt{ 8} = 2 \sqrt{2}

The argument is

\theta= \tan^{ - 1} ( \frac{ - 2}{2} )

\theta= \tan^{ - 1} ( -1) =  \frac{7\pi}{4}

The polar form is

2 \sqrt{2} ( \cos( \frac{7\pi}{4}   + i  \sin(  \frac{7\pi}{4} ) )

The first option is correct.

3 0
3 years ago
How do you do this question?
Alex Ar [27]

Step-by-step explanation:

(a) dP/dt = kP (1 − P/L)

L is the carrying capacity (20 billion = 20,000 million).

Since P₀ is small compared to L, we can approximate the initial rate as:

(dP/dt)₀ ≈ kP₀

Using the maximum birth rate and death rate, the initial growth rate is 40 mil/year − 20 mil/year = 20 mil/year.

20 = k (6,100)

k = 1/305

dP/dt = 1/305 P (1 − (P/20,000))

(b) P(t) = 20,000 / (1 + Ce^(-t/305))

6,100 = 20,000 / (1 + C)

C = 2.279

P(t) = 20,000 / (1 + 2.279e^(-t/305))

P(10) = 20,000 / (1 + 2.279e^(-10/305))

P(10) = 6240 million

P(10) = 6.24 billion

This is less than the actual population of 6.9 billion.

(c) P(100) = 20,000 / (1 + 2.279e^(-100/305))

P(100) = 7570 million = 7.57 billion

P(600) = 20,000 / (1 + 2.279e^(-600/305))

P(600) = 15170 million = 15.17 billion

7 0
2 years ago
Sam buys tickets to a basketball game for $92.00 total. He must also pay 11% sales tax on the tickets. Write and simply a numeri
Flauer [41]
Sales tax 11%
11/100 x $92.00
=$10.12

Total cost = x
x= $92.00 + $ 10.12
= $102.12
7 0
3 years ago
jen and sarah go to lunch at the Green Grill.Their meals total $28.00 .The tax is 6%.What is the total cost including tax?
nordsb [41]
6%=0.06

28(0.06)
= 1.68 ---> tax

28+1.68
= 29.68

Jen and Sarah spent 29.68 dollars including tax

I hope this answer helped you and have a wonderful day!
5 0
3 years ago
Read 2 more answers
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