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Y_Kistochka [10]
3 years ago
11

Use the figure to find the measurements of the numbered angles

Mathematics
2 answers:
velikii [3]3 years ago
7 0
Number 1 is 107
Number 2 is 73
sineoko [7]3 years ago
3 0
Angle 1 would 107° since a and b are parallel. Angle 2 would be 180° - 107° = 73°.
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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
Find the inverse of the function y = x2 – 12
vivado [14]

Answer: y=\sqrt{x+12}

Step-by-step explanation:

I hope you mean y = x² - 12 and not y = 2x - 12.

You switch the y and x variables:

x = y² - 12

And solve for y:

x + 12 = y²

y=\sqrt{x+12}

7 0
3 years ago
Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip she only drove 52 mile
dem82 [27]

Veronica traveled at 85 miles for 6 days and 52 miles on the final day making the total number of days traveled 7 days

<em><u>Solution:</u></em>

Veronica traveled 562 miles to Venice, Florida

She drove 85 miles every day

Let "d" be the number of days she drove 85 miles per day

On the last day of her trip she only drove 52 miles

Therefore, we frame a equation as,

Total miles = 85 miles every day for "d" days + last day

Total miles = 85(d) + 52

Total miles = 85d + 52

562 = 85d + 52

85d = 562 - 52

85d = 510

d = 6

She traveled at 85 miles for 6 days and 52 miles on the final day making the total number of days traveled 7

8 0
3 years ago
How many pennies would be in a tower that is 10 miles<br> high?
Rufina [12.5K]
Just measure the width (or height, if you'll be stacking the pennies
a mile high) of a penny, then divide 5280 feet by whatever you find.
This is a great activity for a class, and in fact a good way to start
the project. First take one penny, and work out an answer. Then get
100 pennies, and measure them; do the same calculation to see how many
pennies it will take to make a mile. There will probably be a
difference, because you can measure 100 pennies more accurately than a
single penny. Or maybe you have a micrometer that will measure one
penny precisely. Which is better can be a good discussion starter. And
don't forget to try it in metric, too.

Just to illustrate, using a very rough estimate of a penny's width,
let's say a penny is about 3/4 inch wide. The number of pennies in a
mile will be

5280 ft 12 in 1 penny
1 mile * ------- * ----- * ------- = 5280 * 12 * 4/3 pennies
1 mi 1 ft 3/4 in

This gives about 84,480 pennies. (This method of doing calculations
with units is very helpful, and would be worth teaching.)

If we measure 100 pennies as 6 ft 1 in, we will get

5280 ft 100 pennies
1 mile * ------- * ----------- = 5280 * 100 * 12 / 73 pennies
1 mi 6 1/12 ft

This gives us 86794.5205 pennies in a mile.
5 0
3 years ago
−7x − 13 = −48 Some one pls answer this
Oksanka [162]

Answer:

-7x -13= -48 (add 13 to both sides)

-7x = -35 (divide both sides by -7)

x= 5 (is your answer)

4 0
3 years ago
Read 2 more answers
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