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kipiarov [429]
3 years ago
9

Rewrite

2-9" align="absmiddle" class="latex-formula"> in standard form
Quick pls
Mathematics
1 answer:
horrorfan [7]3 years ago
8 0

Answer: f(x)=x^(2)+14x+40

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Determine whether the statement is true or false, and explain why.
Sedbober [7]

Answer:

True

Step-by-step explanation:

The integral

\int\limits^1_0 {xe^{10x}} \, dx

in the integral we have a product of a monomial: x

and an exponential function: e^{10x}

In general case, when we have a combination of these two things you can use the integration by parts, where x will be u and e^{10x} will be dv.

The statement is true

3 0
3 years ago
The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu
Kazeer [188]

Answer:

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that \frac{dP}{dt} = 400 when P = 200. With this, we can find r, that is, the growth rate,

So

\frac{dP}{dt} = rP(1 - \frac{P}{K})

400 = 200r(1 - \frac{200}{1200})

166.67r = 400

r = 2.4

So the differential equation is:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

3 0
3 years ago
Change the following number to Scientific Notation.<br> 0.0080098
AlladinOne [14]
Simple

scientific notation
8.009 × 10-3
4 0
3 years ago
Find the largest side of △STU, given that m∠T=98°, m∠S=30°, and m∠U=52°.<br><br> geometry work
Sav [38]
<h3>Answer: SU</h3>

=======================================================

Explanation

Rule:  The longest side of any triangle is always opposite the largest angle.

Angle T = 98 is the largest angle, so the longest side is SU since it is opposite angle T.

Refer to the diagram below.

4 0
3 years ago
The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm. What are the
Usimov [2.4K]

Answer:

A(8)=32cm

B(9)=36cm

C(10)=40cm

Step-by-step explanation:

let 8:9:10=A:B:C

∑ratios=8+9+10=27

Have a great day!

Step-by-step explanation:

5 0
3 years ago
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