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Determine whether each function is an example of exponential growth or decay. Then find the y-intercept. $y = 3 e^{x}$

Lewis Harvey 2021-01-22

We need to calculate the simplified form of the expression,
$\frac{c^{2} + 13 c + 18}{c^{2} - 9} + \frac{c + 1}{c + 3} - \frac{c + 8}{c - 3}$

Alyce Wilkinson 2021-01-22

Find the rationalize the denominator of $\frac{- 4}{\sqrt[3]{5 x}}$

nicekikah 2021-01-22

The article “Modeling of Urban Area Stop-andGo Traffic Noise” presents measurements of traffic noise, in dBA, from 10 locations in Bangkok, Thailand. Measurements, presented in the following table, were made at each location, in both the acceleration and deceleration lanes.
$\begin{array}{|c|c|}\hline \text{Location} & \text{Acceleration} & \text{Decelaration} \\ \hline 1 & 78.1 & 78.6 \\ \hline 2 & 78.1 & 80.0 \\ \hline 3 & 79.6 & 79.3 \\ \hline 4 & 81.0 & 79.1 \\ \hline 5 & 78.7 & 78.2 \\ \hline 6 & 78.1 & 78.0 \\ \hline 7 & 78.6 & 78.6 \\ \hline 8 & 78.5 & 78.8 \\ \hline 9 & 78.4 & 78.0 \\ \hline 10 & 79.6 & 78.4 \\ \hline \end{array}$
Can you conclude that there is a difference in the mean noise levels between acceleration and deceleration lanes?

Tazmin Horton 2021-01-22

Does the equation $x^{2} \equiv x \cdot x \equiv 2 x \cdot 4 x mod 7$ show that factorization of polynomials mod 7 is not unique? Why or why not?

nitraiddQ 2021-01-22

Whether the temperature $(T_{p})$ on the surface of the planet will be suitable for liquid water to exist mean surface temperature of the star $(T_{s})$ is $7700^{\circ} C,$ mean radius of the star r is $1.26 \times 10^{6} k m,$ the distance between the star and the planet d is $4.3 \times 10^{8} k m$ and the model formula is
$T_{p} = 0.7 (T_{s} + 273) {(\frac{r}{d})}^{^{1} ∠ 2} - 273$

Brittney Lord 2021-01-22

To calculate:
To evaluate the expression
$x^{^{5} ∠ 3} \cdot x^{^{\frac{- 3}{4}}}$

Suman Cole 2021-01-19

Solve the following system of linear equations in two variables by Substitution method.
${\begin{cases} x = - 2 y - 2 \\ 2 x + 5 y = - 7 \end{cases}$

Globokim8 2021-01-19

Andreas buys a new ailboat fo $15,540. He estimates that the boat will depreciate by 5% each year. Which exponential function models this situation?

glamrockqueen7 2021-01-19

Solve by completing the square $x^{2} - x - 7 = 0$

alesterp 2021-01-19

The annual sales S (in millions of dollars) for the Perrigo Company from 2004 through 2010 are shown in the table. $\begin{array}{cc} Year & 2004 & 2005 & 2006 & 2007 & 2008 & 2009 & 2010 \\ Sales, S & 898.2 & 1024.1 & 1366.8 & 1447.4 & 1822.1 & 2006.9 & 2268.9 \end{array}$

a) Use a graphing utility to create a scatter plot of the data. Let t represent the year, with t=4 corresponding to 2004. b) Use the regression feature of the graphing utility to find an exponential model for the data. Use the Inverse Property $b = e^{\ln b}$ to rewrite the model as an exponential model in base e. c) Use the regression feature of the graphing utility to find a logarithmic model for the data. d) Use the exponential model in base e and the logarithmic model to predict sales in 2011. It is projected that sales in 2011 will be $2740 million. Do the predictions from the two models agree with this projection? Explain.

Lennie Carroll 2021-01-19

Solve the given information Let $f (x) = \sin x .$ Use the following values and five-digit rounding arithmetic to construct the Hermite interpolating polynomial to approximate $f (0.34) = \sin 0.34 .$
$\begin{array}{cc} x & f (x) & f^{'} (x) \\ 0.30 & 0.29552 & 0.95534 \\ 0.32 & 0.31457 & 0.94924 \\ 0.35 & 0.34290 & 0.93937 \end{array}$

jernplate8 2021-01-19

The sum of given arithmetic sequence:
$\sum n = 1 80 2 n - 5 = 6080$

glasskerfu 2021-01-19

Perform the indicated divisions.
$\frac{x^{2} - 7 x - 78}{x + 6}$

vestirme4 2021-01-19

Suppose A = QR is a QR factorization of an $m \times n$ matrix A (with linearly independent columns). Partition A as $[A_{1} A_{2}], w h e r e A_{1}$ has p columns. Show how to obtain a QR factorization of $A_{1}$ , and explain why your factorization has the appropriate properties.

Alyce Wilkinson 2021-01-19

Use Gaussian elimination to find the complete solution to the system of given equations, or show that none exists.
${\begin{matrix} 2 x - 4 y + z = 3 \\ x - 3 y + z = 5 \\ 3 x - 7 y + 2 z = 12 \end{matrix}$

emancipezN 2021-01-19

-In the system of equations in x and y, 2x+3y=12, 4x+ay=16, where a is an integer, what would a have to be for the equations to be inconsistent?
-In the system of equations in x and y, 2x+3y=12, 4x+ay=b, where a is the answer to question 2, what would b be if the equations are dependent?

CheemnCatelvew 2021-01-19

Determine the algebraic modeling The personnel costs in the city of Greenberg were $9,500,000 in 2009. In the recent past the personnel costs have increased at the rate of $4.2 %$ annually.
To model this, the city manager uses the function $C (t) = 9.5 {(1042)}^{t} where C (t)$ is the annual personnel costs,in millions of dollars, t years past 2009
1) Write the equation that can be solved to find in what year the personnel costs will be double the 2009 personnel costs.
2) Then solve the equation numerically (use the Table feature of your calculator) or graphically and determine the year.

ediculeN 2021-01-19

The population of a culture of bacteria is modeled by the logistic equation $P (t) = \frac{14, 250}{1 + 29 e - 0.62 t}$ To the nearest tenth, how many days will it take the culture to reach 75% of it’s carrying capacity? What is the carrying capacity? What are the virtues of logistic model?

floymdiT 2021-01-19

Define Logarithms? How Logarithms play an important role in modeling nonlinear regression functions?

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