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3 years ago

6

Find a synchronous solution of the form Acos(5t) + Bsin(5t) to the given forced oscillator equation using the method of insertio

n, collecting terms, and matching coefficients to solve for A and B.
y" + 4y' + 3y = 5sin5t

1 answer:

mars1129 [50]3 years ago

4 0

Answer:

<u><em>Good luck! </em></u>

<u><em></em></u>

0..

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Jenny runs a cake making business. She receives an order for 6 carrot cakes. Here are the ingredients for 1 carrot cake. How muc

kkurt [141]

Is this something you need to add to the sentence it would be the ingredients are missing.

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3 years ago

Jacques, an artisan cheese maker, collects data on every step of the cheese-making process for each batch he makes. Jacques noti

Jobisdone [24]

Answer:

c. The moming pH of the cheese tends to be higher when the daly Ngh temperature in the shop is cooler compared 10 when the duly high temperature is warmer

Daily high temperature and the pH of cheese are inversely related.When one variable increases, the other one decreases.

Step-by-step explanation:

When there is a negative correlation between two variables, it means when one variable increases, the other one decreases.A correlation of -0.64 means that the variable do not have a strong negative correlation because its less that -0.9. However, this correlation is not a weak negative correlation because the value is more that -0.1

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3 years ago

A rectangle poster covers an area of 380.16 square inches of a display board. The width of the poster is 12 inches less than its

coldgirl [10]

Let the width = x -12
the length = x
we have this area equation: x(x-12)=380.16
=>x^2-12x-380.16=0
=>(5x-132)(5x+72)=0
=>x= 132/5 and x= -72/5 (no)

=>The width of the poster is: 132/5 -12 =72/5 inches

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3 years ago

A population has a standard deviation of 80. A random sample of 400 items from this population is selected. The sample mean is d

Helga [31]

Answer:

$ME= 1.8808 * \frac{80}{\sqrt{400}} =7.5232$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma =80$ represent the population standard deviation

n=400 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

Since the Confidence is 0.94 or 94%, the value of $\alpha=0.06$ and $\alpha/2 =0.03$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.03,0,1)".And we see that $z_{\alpha/2}=1.8808$

The margin of error is given by:

$ME= 1.8808 * \frac{80}{\sqrt{400}} =7.5232$

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4 years ago

Find the missing length of the triangle.

Dafna1 [17]

There are special properties to certain right triangles.

A 3-4-5 triangle will always be a right triangle. 9 divides into 3, and 15 divides into 5, so you can use ratios to find b.

Since 9 divides into 3, we will use this to set up proportions for the missing value:

$\frac{9}{3} = \frac{b}{4}$

Cross multiply the fractions.

$3b = 36$

Divide both sides by 3.

$b = 12$

The missing value is 12.

4 0

3 years ago

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