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4 years ago

Please help me ! I need to pass

Mathematics

1 answer:

sweet [91]4 years ago

6 0

Step-by-step explanation:

$a_1=8\\a_2=a_1+4=8+4=12\\a_3=a_2+4=12+4=16\\a_4=a_3+4=16+4=20\\\vdots\\\\a_n=\left\{\begin{array}{ccc}a_1=8\\a_n=a_{n-1}+4\end{array}\right$

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the local state university has a ratio of 5 professors to every 86 students there are 9460 students at State University what is

Phoenix [80]

As a ratio, 5:86 represents students to teachers

We can set up the equation as 5/86=x/9460

Multiply 9460 to both sides

5x9460/86=x

47300/86=x

x=550

There are 550 professors

7 0

4 years ago

The differential equation in Example 3 of Section 2.1 is a well-known population model. Suppose the DE is changed to dP dt = P(a

LuckyWell [14K]

Answer:

Decreases

Step-by-step explanation:

We need to determine the integral of the DE;

$dP/dt=P(aP-b)$

$dP=P(aP-b)dt$

$1/(dP^2-bP)dP=dt$

We can solve this by integration by parts on the left side. We expand the fraction 1/P²:

$1/(d-b/P)\cdot{P^2} dP$

let

$u=d-b/P$

$du/dP=b/P^2$

$dP=$ $\int\limits {P^2/b} \, du$

$P=lnu/b$

Substitute u in:

$P=ln(d-b/P)/b$

Therefore the equation is:

$ln(d-b/P)/b=t$

We simplify:

$d-b/P=e^b^t$

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6 0

3 years ago

Given that r is the midpoint of qs and that the lenght of qr is 5.7, find the lenght of qs

ra1l [238]

We know that the midpoint is the a point in the center of the line (r). This means that from the midpoint to the endpoint (qr) is half the length of the overall line. This means that 5.7 (the length of qr) units is half the length of the line. Two halves make a whole so 5.7 × 2 = 11.4 units as the length of the entire line qs.
Hope this helps!

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3 years ago

What is the domain of Marcos mapping diagram?

madam [21]

I think this is right if not oh well but the domain of marcos mapping diagram is paired with exactly one element in the range.

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3 years ago

Find the dot product of v=-7i+4j and w=-6+5j

Anna35 [415]

V•w = (-7i +4j)•(-6i +5j) = (-7)×(-6) +4×5 = 42 +20
v•w = 62

6 0

4 years ago