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3 years ago

Would really appreciate it... will mark brainliest

Mathematics

2 answers:

d1i1m1o1n [39]3 years ago

5 0

Exponential growth would include, A = 20,000(1.08)^t, A=40(30), P=1700(1.07).

Decay would include, A=80(1/2)^t, A= 1600(.8), P=1700(.93)

Hope this helps.

Greeley [361]3 years ago

4 0

<h2>Answer:</h2>

Exponential growth function--

$A=20,000(1.08)^t$

( Since, 1.08>1)

$A=40(3)^t$

( Since, 3>1)

$P=1700(1.07)^t$

( Since, 1.07>1)

Exponential decay function--

$A=80(\dfrac{1}{2})^t$

( Since, 1/2=0.5<1)

$A=1600(0.8)^t$

( Since, 0.8<1)

$P=1700(0.93)^t$

( Since, 0.93<1)

<h2>Step-by-step explanation:</h2>

We know that the general exponential function is given by:

$y=ab^x$

where a is the initial amount.

and if b>1 then the function represents a exponential growth function.

and 0<b<1 then the function represents a exponential decay function.

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Write a polynomial function with rational coefficients so that P(x) = 0 has the given roots. 4, 16, and 1 + 9i

bulgar [2K]

I remember dis, yey

so if a polynomial has roots $r_1$ , $r_2$ , $r_3$ , it can be factored into
$f(x)=a(x-r_1)^b(x-r_2)^c(x-r_3)^d$ where a,b,c,d are constants

also, if a polynomial has rational coefients and a+bi is a root, then a-bi must also be a root

so our roots we need are
4,16, 1+9i and 1-9i

so assuming multiplity 1 (that means we have something like [/tex]f(x)=a(x-r_1)^1(x-r_2)^1(x-r_3)^1[/tex])

we get that your function is
$P(x)=(x-4)(x-16)(x-(1+9i))(x-(1-9i))$ which simplifies to
$P(x)=(x-4)(x-16)(x-1-9i)(x-1+9i)$ which expands to
$P(x)=x^4-22x^3+186x^2-1768x+5248$

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3 years ago

A square steel bar has a length of 5.1 ft and a 2.7 in by 2.7 in cross section and is subjected to axial tension. The final leng

Andrej [43]

Answer:

The Poisson's ratio for the material is 0.0134.

Step-by-step explanation:

The Poisson's ratio ( $\nu$ ), no unit, is the ratio of transversal strain ( $\epsilon_{t}$ ), in inches, to axial strain ( $\epsilon_{a}$ ), in inches:

$\nu = -\frac{\epsilon_{t}}{\epsilon_{a}}$ (1)

$\epsilon_{a} = l_{a,f}-l_{a,o}$ (2)

$\epsilon_{t} = l_{t,f}-l_{t,o}$ (3)

Where:

$l_{a,o}$ - Initial axial length, in inches.

$l_{a,f}$ - Final axial length, in inches.

$l_{t,o}$ - Initial transversal length, in inches.

$l_{t,f}$ - Final transversal length, in inches.

If we know that $l_{a,o} = 61.2\,in$ , $l_{a,f} = 61.235\,in$ , $l_{t,o} = 2.7\,in$ and $l_{t,f} = 2.69953\,in$ , then the Poisson's ratio is:

$\epsilon_{a} = 61.235\,in - 61.2\,in$

$\epsilon_{a} = 0.035\,in$

$\epsilon_{t} = 2.69953\,in - 2.7\,in$

$\epsilon_{t} = -4.7\times 10^{-4}\,in$

$\nu = - \frac{(-4.7\times 10^{-4}\,in)}{0.035\,in}$

$\nu = 0.0134$

The Poisson's ratio for the material is 0.0134.

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xxTIMURxx [149]

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3 years ago

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stich3 [128]

Answer:

Here:

Step-by-step explanation:

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3 years ago