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3 years ago

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1. Mr. Hudson bought some shirts for the new members of his band. The cost for the number of shirts, including $3.99 shipping, w

as $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. Write an equation to represent the scenario. Use x as your variable. 2 Mr. Hudson bought some shirts for the new members of his band. The cost for the number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. How many shirts were purchased?

1 answer:

nignag [31]3 years ago

7 0

Answer:

6x + 4 - 1/100 = 77.5

Step-by-step explanation:

Inc shipping all shirts 77.49

Shirt individual cost = 12.25

We find the division first = 77.49-3.99 = 73.5 = 73 1/2

Then we divide 73.5 / 12.25 = 6

Then we have our equation

6x + 4 - 1/100 = 77.5

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Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.

Bas_tet [7]

Answer:

The function touches the damping factor

at x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

The x-intercept of f(x) is

at x= $n\pi$

Step-by-step explanation:

Given function is f(x)= $e^{-3x} sin(x)$ and damping factor as y= $e^{-3x}$ and y= $(-1)e^{-3x}$

To find when function touches the damping factor:

For f(x)= $e^{-3x} sin(x)$ and y= $e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=e^{-3x}$

$sin(x)=1$

x= $\frac{(4n-3)\pi}{2}$

For f(x)= $e^{-3x} sin(x)$ and y= $(-1)e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=(-1)e^{-3x}$

$sin(x)=(-1)$

x= $\frac{(4n-1)\pi}{2}$

Therefore, The function touches the damping factor x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

To find x-intercept of f(x):

For x-intercept, y=0

f(x)= $e^{-3x} sin(x)$

y= $e^{-3x} sin(x)$

$e^{-3x} sin(x)=0$

Hence, $e^{-3x}$ is always greater than zero.

Therefore, $sin(x)=0$

x= $n\pi$

Thus,

The x-intercept of f(x) is at x= $n\pi$

7 0

4 years ago

On a typical day flights at a local airport arrive at a rate of 10 every 15 minutes. At this rate how many flights would you exp

Arturiano [62]

There are 4 sets of 15 minutes in a hour so you would take the 10 airplanes and multiply it by 4 and get 40 as your answer
In 1 hour 40 planes with arrive at the airport

5 0

3 years ago

duke and donna each have 10 coins. all coins are either dimes or quarters. duke has 5 quarters. donna has 60 c more than duke.ho

zepelin [54]

If duke has 5 quarters that means he has 5 dimes making a total of $1.75
if donna has 60 cents more than him she has a total of $2.35
to figure out the number of quarters she has just dived $2.35 by .25 cents
she has 9 quarters and 1 dime.

5 0

3 years ago

Three - tenths of x is 15

Studentka2010 [4]

Answer:

50

Step-by-step explanation:

50 / 10 = 5

5 x 3 = 15

8 0

3 years ago

What is the z-score of a newborn who weighs 4,000 g?.

vagabundo [1.1K]

The z-score of the considered newborn having 4,000 g weight is $\dfrac{4000 - \mu}{\sigma}$

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

$X \sim N(\mu, \sigma)$

(X is following normal distribution with mean $\mu$ and standard deviation $\sigma$ )

then it can be converted to standard normal distribution as

$Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)$

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

$P(Z \leq z) = P(Z < z) )$

Also, know that if we look for Z = z in z tables, the p value we get is

$P(Z \leq z) = \rm p \: value$

For the considered case, the statement in the problem is missing the mean weight of the newborn and standard deviation of the data set of weights of newborn.

Thus, for them, we can consider variables in place of their actual values.

Let we have:

X = weights of newborns for some considered system (in grams)
$\mu$ = mean weight of newborns (in grams)
$\sigma$ = standard deviation of the data set of weights of newborns

Then, the z-score for X = 4000 is

$z = \dfrac{x - \mu}{\sigma} = \dfrac{4000 - \mu}{\sigma}$

Thus, the z-score of the considered newborn having 4,000 g weight is $\dfrac{4000 - \mu}{\sigma}$

Learn more about z-scores here:

brainly.com/question/13299273

3 0

2 years ago