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pantera1 [17]
3 years ago
11

For the equation below, determine its order. Name the independent variable, the dependent variable, and any parameters in the eq

uation. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) mx'' + bx' + kx = 8t6, assuming x is a function of t
Mathematics
1 answer:
PIT_PIT [208]3 years ago
3 0

Answer:

The equation is an differential equation of second order.

The dependent variable is x, while t is the independent variable.

Step-by-step explanation:

The order of the equation depends on the greatest grade of the derivative, in this case it's the second derivative (x'')

Since x is a function of t, we would have that t is the independent variable while x is the dependent variable.

You might be interested in
A data analyst has spreadsheets numbered
algol [13]

Answer:

\frac{2}{9}

Step-by-step explanation:

{\textrm}{Total number of objects here} = 9

(2 spreadsheets, 3 databases and 4 presentations,

{\textrm}({Total} = 2+3+4 = 9)

{\textrm}{No. of databases with an odd number} = 2 {\textrm}{(databases with number 1 and 3})

As  not mentioned other wise equal chances of all the outcomes is assumed so, by the classical definition of probability,

P(The chosen item is a odd numbered database)

=\frac{2}{9}

8 0
2 years ago
Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin. Each mold can be divided into
Ipatiy [6.2K]

if in total Kasey has 8 packaged of gelatin and it takes 1 1/3 for each mold which equals 6 servings than you could work it out as

8 divided by 1 1/3=6.015 since its not a whole number than you'd want to go down to just 6 resulting in Kasey creating 6 molds

6 molds times 6 servings= 36 servings

6 0
3 years ago
If there are 7 bolts in a widget and 6 widgets in an appliance, how many bolts are in 20 appliances?
sweet [91]
A single appliance has 6 widgets, and a widget has 7 bolts. Therefore, you need to multiply 6 by 7 to find the number of bolts in a single appliance.

6 x 7 = 42

Now that you know the number of bolts in an appliance, you can find the number of bolts in 20 appliances by multiplying 42 by 20.

42 x 20 = 840

Hence, there are 840 bolts in 20 appliances.

5 0
3 years ago
Compute the multifactor productivity measure for each of the weeks shown for production of chocolate bars. What do the productiv
liq [111]

Answer:

Week 1 =3.03

Week 2 =2.99

Week 3=2.9

Week 4=2.83

Step-by-step explanation:

Computation for the multifactor productivity measure for each of the weeks shown for production of chocolate bars.

Using this formula

Week Multifactor productivity measure = (Output / Total Cost)

Where:

Output represent Quantity produced

Total cost represent Labor cost + Material cost + Overhead

Let plug in the formula

Week 1= 30,000/(40*12*6)+[(40*12*6)1.5]+(450*6)

Week 1 =30,000/(2,880)+(2,880*1.5)+2,700

Week 1 =30,000/(2,880+4,320+2,700)

Week 1=30,000/9,900

Week 1 =3.03

Week 2= 33,600/(40*12*7)+[(40*12*7)1.5]+(470*6)

Week 2 =33,600/(3,360)+(3,360*1.5)+2,820

Week 2=33,600/(3,360+5,040+2,820)

Week 2=33,600/11,220

Week 2 =2.99

Week 3= 32,200/(40*12*7)+[(40*12*7)1.5]+(460*6)

Week 3 =32,200/(3,360)+(3,360*1.5)+2,760

Week 3=32,200/(3,360+5,040+2,760)

Week 3=32,200/11,160

Week 3=2.9

Week 4= 35,400/(40*12*8)+[(40*12*8)1.5]+(480*6)

Week 4 =35,400/(3,840)+(3,840*1.5)+2,880

Week 4=35,400/(3,840+5,760+2,880)

Week 4=35,400/12,480

Week 4=2.83

Therefore the multifactor productivity measure for each of the weeks shown for production of chocolate bars is :

Week 1 =3.03

Week 2 =2.99

Week 3=2.9

Week 4=2.83

4 0
2 years ago
Find all solutions in the interval [0,2pi).<br><br> cos 2x + sqrt(2) sinx=1
kykrilka [37]
<span>cos 2x + sqrt(2) sinx=1
</span><span>
Note that: cos 2x = cos^2x - sin^2x = (1-sin^2x) - sin^2x = 1 - 2sin^2x.
So, when alternatively written, you have the following equation:

</span>- 2sin^2x + sqrt(2)sinx + 1 = 1
- 2sin^2x + sqrt(2)sinx = 0

Then, let z=sin(x). So you get,

- 2z^2 + sqrt(2)z = 0
z(- 2z + sqrt(2)) = 0

Either z=0, or - 2z + sqrt(2) = 0 --->  z=sqrt(2)/2.
Then, since z=0 or z=sqrt(2)/2, therefore sin(x)=0, or sin(x)=sqrt(2)/2.

Then, for you remains just to list the angles. (Let me know if this is not fair or if you got questions.)
6 0
3 years ago
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