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2 years ago

what base could be written in the blank to make the exponential function model 15% decay ? y= (___) ^t\12

Mathematics

1 answer:

MAVERICK [17]2 years ago

8 0

The base of the exponential function model in order to get 15% decay should be 0.85

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation.

The first step would be figuring out the function's base.

The function's form should be, $y=a*b^{t}$

Here,

'a' denotes the starting value.

'b' denotes the decrease rate.

't' denotes time.

According to the question, the exponential function model is,

$y=b^{\frac{t}{12} }$

In order to get a 15% decay,

The base of the function should be (100-15)/100 = 0.85

Thus, Base of function(b) = 0.85

The exponential function model is written as:

$y=0.85^{t/12}$

Learn more about functions here:

brainly.com/question/25638609

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Zolol [24]

Answer: $27000\text{ cubic inches}$

Step-by-step explanation:

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Then , the volume of Starks sculpture 30 cubed will be :

$\text{Volume}=(30)^3\text{ cubic inches}$

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3 years ago

Find the derivative of the function at P 0 in the direction of A. f(x,y,z) = 3 e^x cos(yz), P0 (0, 0, 0), A = - i + 2 j + 3k

Alik [6]

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$\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}$

We have

$f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k$

and

$\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}$

Then the derivative at $p_0$ in the direction of $\vec a$ is

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4 years ago

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Amanda [17]

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4 years ago

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o-na [289]

You can use the root test here. The series will converge if

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You have

$L=\displaystyle\lim_{n\to\infty}\sqrt[n]{\frac{(4-x)^n}{4^n+9^n}}=|4-x|\lim_{n\to\infty}\frac1{\sqrt[n]{4^n+9^n}}$

Notice that

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4 years ago

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Likurg_2 [28]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers