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3 years ago

How many terms are in the arithmetic sequence 9, 2, −5, . . . , −187?

Mathematics

1 answer:

8090 [49]3 years ago

4 0

A(n) = 9 - 7(n-1)

The sequence decreases by -7 each time.

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Steven earns extra money babysitting. he charges $20.25 for 3 hours and $40.50 for 6 hours.

il63 [147K]

Y=6.75x
He charges $6.75 per hour

6 0

2 years ago

devin began running a month ago to get back in shape.the first day he ran .5 miles. each day after that he ran 10% more than the

SpyIntel [72]

The formula for the sum of the a finite geometric series is this:
Sn = a((1-r^n) / (1-r))

The given values are:
n = 30
a = 0.5 mi
r = 1.10 (10% more each day)

S30 = 0.5 ((1-1.10^30) / (1-1.10))
S30 = 82.25 mi

After 30 days, he will have traveled 82.25 miles.

3 0

3 years ago

For the system below identify the parameters as growth rates, carrying capacities, and measure of interactions between species.

babunello [35]

Answer:

2 and 3 are the the growth rates parameter for x and y respectively
16 and 20 are the carrying capacities for x and y respectively
2 and 7 measures the benefit to x and y of the interaction of the two species.

The species compete each other.

Step-by-step explanation:

When we have a population model for two species as we have here, the differential equations looks like this:

$\frac{dx}{dt}=a*x+b\frac{x^{2}}{N}+c*xy$

$\frac{dy}{dt}=d*x+e\frac{y^{2}}{M}+f*xy)$

Here:

a and d are the the growth rates parameter for x and y respectively

N and M are the carrying capacities for x and y respectively

c and f measures the benefit to x and y of the interaction of the two species.

So in our case we have:

$\frac{dx}{dt}=2*x+\frac{x^{2}}{16}+2*xy$

$\frac{dy}{dt}=3*x-\frac{x^{2}}{20}-7*xy$

Therefore:

2 and 3 are the the growth rates parameter for x and y respectively
16 and 20 are the carrying capacities for x and y respectively
2 and 7 measures the benefit to x and y of the interaction of the two species.

The term xy determine the if the species are cooperating of competing, so in this case have negative xy term in the second equation, it means the presence of either species decreases the rate of change of the other, so the species compete each other.

I hope it helps you!

3 0

3 years ago

What number is equal to 12 thousand 4 tens 7 ones?

lianna [129]

12047 my dude...... ;)

8 0

3 years ago

Read 2 more answers

How do you know if f is continuous on a closed interval?

Sophie [7]

The easiest way to remember is you can draw the graph without picking up your pencil.

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3 years ago