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Gnoma [55]
3 years ago
12

Please helplpppppp!!

Mathematics
2 answers:
serg [7]3 years ago
4 0
The Answer is going to be D
Margarita [4]3 years ago
3 0

Answer:

D

Step-by-step explanation:

"x" represents the hours.

so 8 is the fee for <em>the hours</em>, rather than insurance.

6 is the insurance fee.

if the cost per hours is doubled, it'll now be 16.

the answer is "6 + 16x" (D)

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Fundamental theorem of calculus<br> <img src="https://tex.z-dn.net/?f=g%28s%29%3D%5Cint%5Climits%5Es_6%20%7B%28t-t%5E4%29%5E6%7D
mr_godi [17]

Answer:

\displaystyle g'(s) = (s-s^4)^6

Step-by-step explanation:

The Fundamental Theorem of Calculus states that:
\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt  \right] = f(x)

Where <em>a</em> is some constant.

We can let:
\displaystyle g(t) = (t-t^4)^6

By substitution:

\displaystyle g(s) = \int_6^s g(t)\, dt

Taking the derivative of both sides results in:
\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]

Hence, by the Fundamental Theorem:

\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\  & = (s-s^4)^6\end{aligned}

3 0
2 years ago
What percent of 1 3/5 is 0.2 and what percent of 2 is 0.2?
natulia [17]

Answer:

1 3/5 = 8

2 = 10

Step-by-step explanation:

1 3/5 is 1.60 in decimal form so divide 1.6/0.2

2 is 2 so divide that by 0.2

6 0
3 years ago
Factor 12xy - 36xz<br> a. 12(xy - 3xz)<br> b. 12x(y - 3z)<br> c. -24xyz<br> d. 12(y - 3z)
weqwewe [10]

Answer:

B is the correct answer.

Step-by-step explanation:

12xy - 36xz

12 and x are common factors.

12x(y - 3z)

Hope it helps.

6 0
3 years ago
Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species
kotegsom [21]

Answer:

P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}

Step-by-step explanation:

The logistic equation is the following one:

P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.

In this problem, we have that:

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that P(0) = 80, K = 2000.

The number of fish tripled in the first year. This means that P(1) = 3P(0) = 3(80) = 240.

Using the equation for P(1), that is, P(t) when t = 1, we find the value of r.

P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}

240 = \frac{2000*80e^{r}}{2000 + 80(e^{r} - 1)}

280*(2000 + 80(e^{r} - 1)) = 160000e^{r}

280*(2000 + 80e^{r} - 80) = 160000e^{r}

280*(1920 + 80e^{r}) = 160000e^{r}

537600 + 22400e^{r} = 160000e^{r}

137600e^{r} = 537600

e^{r} = \frac{537600}{137600}

e^{r} = 3.91

Applying ln to both sides.

\ln{e^{r}} = \ln{3.91}

r = 1.36

This means that the expression for the size of the population after t years is:

P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}

4 0
3 years ago
The circumference of a circular pond in the park is 120 meters. Find the area.
Tpy6a [65]

Answer:

1) 38

2) 19

3) 1134

Step-by-step explanation:

7 0
3 years ago
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