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s2008m [1.1K]
3 years ago
6

When Lawrence filled his pool, the water line was 4 in. from the edge of the pool. For the next 5 days, Lawrence noticed that th

e distance between the water line and the edge of the pool increased by 0.5 in./day. What is the slope of the line that models this situation? A. 0.1 B. 0.5 C. 3.5 D. 4
Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0
The slope of the line that best models the situation is the rate of change in the level of the pool. From the given problem, the rate of change is 0.5 / day. Thus, the slope is 0.5. The answer to this item is letter B. 
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Where does the square root of 40 go on a 1-10 number line?​
kaheart [24]

Answer:

Step-by-step explanation:

36 < 40 < 49\\\\6 < \sqrt{40}  < 7\\

Here is the exact construction of √40 using Pythagorean 's theorem

8 0
2 years ago
A small company can produce up to 200 handmade sandals a month. The monthly cost, C, of producing x sandals is C(x) = 1000 + 5x.
wariber [46]
<span>I will assume the more likely selection of $10 per sandal as opposed to $0.05 per sandal. So with the formulas c = 1000 + 5x r = 75x - 0.4x^2 Sandals Cost Revenue Profit or Loss 0 $1,000.00 $0.00 -$1,000.00 1 $1,005.00 $74.60 -$930.40 2 $1,010.00 $148.40 -$861.60 3 $1,015.00 $221.40 -$793.60 4 $1,020.00 $293.60 -$726.40 5 $1,025.00 $365.00 -$660.00 6 $1,030.00 $435.60 -$594.40 7 $1,035.00 $505.40 -$529.60 8 $1,040.00 $574.40 -$465.60 9 $1,045.00 $642.60 -$402.40 10 $1,050.00 $710.00 -$340.00 11 $1,055.00 $776.60 -$278.40 12 $1,060.00 $842.40 -$217.60 13 $1,065.00 $907.40 -$157.60 14 $1,070.00 $971.60 -$98.40 15 $1,075.00 $1,035.00 -$40.00 16 $1,080.00 $1,097.60 $17.60 17 $1,085.00 $1,159.40 $74.40 18 $1,090.00 $1,220.40 $130.40 19 $1,095.00 $1,280.60 $185.60 20 $1,100.00 $1,340.00 $240.00 As you can see 16 sandals and up is profitable. At what production levels will the company lose money? a. between 0 and 10 or between 150 and 190 pairs, inclusive 150 and 190 c. between 10 and 20 or between 50 and 100, inclusive If you add up the profit between 10 and 20 you will get $-484 so 50 and 100 b. between 0 and 15 or between 160 and 200 pairs, inclusive 160 and 200 d. between 15 and 35 or between 75 and 125, inclusive Neither 15 and 35 or 75 and 125 will lose money.</span>
3 0
3 years ago
Please explain I really need help
velikii [3]

Answer:

1. 1343 years

2. 9 hours

3. 39 years

Step-by-step explanation:

1. Given, half-life of carbon = 5730 years.

∴ λ = 0.693/half-life of carbon = 0.693/5730 = 0.000121

If N₀ = 100 then N = 85

Formula:- N = N₀*e^(-λt)

∴ 85 = 100 * e^(-0.000121t)

∴㏑(-0.85)=-0.000121t

∴ t = 1343 years

2. Given half-life of aspirin = 12 hours

λ = 0.693/12 = 0.5775

Also N₀ = 100 then 70 will disintegrate and N = 30 will remain disintegrated.

∴ 70 = 100 *e^(-0.05775t)

0.70 = e^(-0.05775t)

㏑(0.70) = -0.05775t

∴ t = 9 hours

3.  The population of the birds as as A=A₀*e^(kt)

Given that the population of birds fell from 1400 from 1000, We are asked how much time it will take for the population to drop below 100, let that be x years.

The population is 1400 when f = 0, And it is 1000 when f = 5

We can write the following equation :

1400 = 1000e^(5t).

∴1400/1000 = e^(5k)

∴ k = ㏑(1.4)/5

We need to find x such that 1400/100 = e^(xk)

14 = e^(xk)

∴ x = 39 years

5 0
3 years ago
Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7Bx%5E2%
lisabon 2012 [21]

Answer:

One possible answer is:

f(x) = (2/x) + 3 and g(x) = x².

Step-by-step explanation:

Explanation:

We are to write this equation as y = f(g(x)).  This means we want it to be a composite of functions; in f(x), we take the value of g(x) and use in place of x.

If we let g(x) = x², this means everywhere we see an x in f(x), we will replace it with x².  To make our equation y = 2/x² + 3, working backward we would substitute x for x²; this would give us f(x) = 2/x + 3.

6 0
3 years ago
Can you plz help me i need it
Snowcat [4.5K]

Answer:

v= -2

Step-by-step explanation:

2v + 7 = 3

(-7 both sides)

2v = -4

(divide bu 2 on both sides)

v = -2

hope this helps!!!!!  :)

3 0
3 years ago
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