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lana66690 [7]
2 years ago
7

bruce has a pet worm that fell into a well. the well is 37 feet deep. each day, the worm climbs up 7 feet, but each night, it sl

ides back down 2 feet. how many days will it take for bruce’s worm to get to the top of the well
Mathematics
2 answers:
Rudik [331]2 years ago
6 0
In 24 hours, the worm climbs 5 feet.

7-2= 5 (the worm falls 2 feet every night)


So,

5*8=40 

It will take bruce's worm about 8 days to get to the top of the well. 

I hope this helps!
~kaikers
Ann [662]2 years ago
4 0

Answer:

7 days.

Step-by-step explanation:

Given,

The depth of the well = 37 feet,

Also, each day, the worm climbs up 7 feet, but each night, it slides back down 2 feet.

Thus, the total vertical distance covered by it in a day = 7 - 2 = 5 feet,

Now, since, at the last 7 feet it will not slide back,

Thus, the distance it has to cover at the rate of 5 feet per day = 37 - 7 = 30 feet,

So, the time taken by it to cover 30 feet = \frac{30}{5} = 6 days,

Hence, the total time taken by it = the time taken by it to cover 30 feet + The time taken to climb up last 7 feet

= 6 days + 1 day

= 7 days.

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The s um is positive because 11/12 is greater than 7/8
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3 years ago
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Suppose that the functions s and t are defined for all real numbers x as follows.
PolarNik [594]

Answer:

(s-t)(-1) = -1

(s+t)(-1) = -7

Step-by-step explanation:

Given the following set of functions

s(x)=2x-2

t(x)=3x

(s-t)(x) = s(t) - t(x)

(s-t)(x) = 2x - 2 - 3x

(s-t)(x)  = -x -2

(s-t)(-1) = -(-1) - 2

(s-t)(-1) = 1-2

(s-t)(-1) = -1

(s+t)(x) = s(t) + t(x)

(s+t)(x) = 2x - 2 + 3x

(s+t)(x)  = 5x -2

(s+t)(-1) = 5(-1) - 2

(s+t)(-1) = -5-2

(s+t)(-1) = -7

8 0
3 years ago
A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the
serious [3.7K]

Answer:

The equation is A=6000e^{-0.23t}  at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation A=A_0e^{rt}. We can find the rate at which it decays by using t=3 hours and A=3000. This means A_0=6000 in this context.

A=A_0e^{rt}\\3000=6000e^{r(3)}

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After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

We know lne=1 so we were able to cancel it out and divide both sides by 3.

We solve with a calculator \frac{ln0.5}{3} =r\\-0.23=r

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The equation is A=6000e^{-0.23t}


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3 years ago
−8.5x + 0.36 = −3.04
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X= 0.4

-8.5x=-3.4
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4 0
2 years ago
15 POINTS!!!
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Answer:

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Step-by-step explanation:

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