Answer:
[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]
g(t) = 0
And
The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is linear and homogeneous
Step-by-step explanation:
Given that,
The differential equation is -
[tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex]
[tex]e^{t}y' + (9t - \frac{1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t(t^{2} + 81 ) - 1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t^{3} + 729t - 1}{t^{2} + 81 } )y = 0\\y' + [\frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) } ]y = 0[/tex]
By comparing with y′+p(t)y=g(t), we get
[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]
g(t) = 0
And
The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is linear and homogeneous.
Find the roots of the Equation 16+x^2=0
Answer:
x = 0 or x = - 16
Step-by-step explanation:
16+x^2=0
x ( x + 16 ) = 0
using the algebra rule a . b = a = 0 and b = 0
x = 0 or x = - 16
so the answer is x = 0 and x = -1 6
Mark brainliest plsssssssssss
A line, line segment, or ray that intersects a line segment at its midpoint is a segment bisector. True or fals?
Answer:
true.
Step-by-step explanation:
hope this helps, i looked it up :)
HELP PLEASEEEEEEE
Suppose x = 7 is a solution to the equation 4x – 2(x + a) = 8.
Find the value of a that makes the equation true.
-25
2
3
6
=> 4(7)–2(7+a)=8
=>28–14–2a=8=>14–2a=8=>-2a=8–14=>-2a=-6=>a=3Help, please!! I don’t have much time
Answer:
B.
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form
Please help with this, will give brainliest.
Answer:
Its A y=3
Step-by-step explanation:
Answer:
A- y=3
Step-by-step explanation:
3x+4y=30
3x+5y=33
-3x+-4y=-30
3x+5y=33
-4y=-30
5y=33
y=3
A coin is flipped 3 times. What is the probability that it lands on heads exactly 3 times? Write your answer as a reduced fraction (numerator/denominator).
Answer:
1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
three tries so your demonater is 3, 1 chance so numerator 1
ASAP
-WILL MARK BRIANIST
thank you <3
Answer:
d
Step-by-step explanation:
A card is drawn from a five-card hand. The cards are labeled A, B, C, D, F. Then a spinner with 3 sections labeled as 1, 2, 3 is spun. What is the sample space?
Answer:
The sample space is the set of all the possible outcomes of a given experiment.
Here, our experiment consists on:
Drawing a card from a five-card hand, such that the outcomes there are:
A, B, C, D, E (5 outcomes)
Followed by spinning a spinner with 3 sections labeled 1, 2 and 3 (3 outcomes).
The total number of outcomes of the combined event, is equal to the product between the numbers of outcomes for each event.
So for our experiment, the total number of outcomes is:
C = 5*3 = 15 outcomes.
And these outcomes are like:
Drawing the card A and spinning a 1 (represented with A-1)
Drawing the card C and spinning a 2 (represented with C-2)
etc.
The set of all possible outcomes are:
{A-1, A-2, A-3, B-1, B-2, B-3, C-1, C-2, C-3, D-1, D-2, D-3, F-1, F-2, F-3}
how to solve 6x - 9 - 2 (1 - x) = x + 9
[tex]x = 2.857[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]6x - 9 - 2(1 - x) = x + 9 \\ ⇢ 6x - 9 - 2 + 2x = x + 9 \\ ⇢ 8x - x = 9 + 11 \\ ⇢ 7x = 20 \\ ⇢ x = \frac{20}{7} \\ ⇢ x = 2.857[/tex]
[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]
[tex]6 \times 2.857 - 9 - 2(1 - 2.857) = 2.857 + 9 \\ ➪ \: 17.142 - 9 - 2 \times( - 1.857) = 11.857 \\➪ \: 8.142 + 3.714 = 11.857 \\➪ \: 11.856 = 11.857 \\ ➪ \: 11.86 = 11.86 \\ ➪ L.H.S.=R. H. S [/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Item 23 Find the sale price. Original price: $50 Discount: 15%
Answer:
42.50
Step-by-step explanation:
50 x.15 =7.50 discount
50 (original price)-7.50 (discount)=42.50 (sales price)
What describes a statistical sample?
Answer:
Statistical sampling is drawing a set of observations randomly from a population distribution. ... By repeating the sampling operation a large number of times, perhaps 1000, we decrease the sampling error and increase the quality of the estimates.
Answer:
Heya Buddy!Step-by-step explanation:
Statistical sampling is drawing a set of observations randomly from a population distribution. ... By repeating the sampling operation a large number of times, perhaps 1000, we decrease the sampling error and increase the quality of the estimates.
Hope that helps..
Take care..
Bye!
(NR) Natural Resources:Question 10
Which statement best describes why large aquifers of groundwater are distributed unevenly
around the earth?
Answer: D) Groundwater collects only where the soil and geological features allow water to seep down into underground chambers.
In other words, as long as there are gaps to allow water through, then that would lead to underground aquifers. Another important component is the amount of rain water that happens. Sources such as rivers, lakes and streams are also a contributing factor.
Stuff like earthquakes, volcanic activity, and continental movement doesn't really have much an effect on where or how aquifers form. It's really all about the soil type and how the landscape is formed, and of course the other factors mentioned in the previous paragraph.
PLEASE HELP ME !! I NEED TO PASS !!
Answer:
216 ft squared
Step-by-step explanation:
[tex]18*12=216ft^{2}[/tex]
Find the value of x in the figure.
570
(x+23)°
x =
Answer:
Step-by-step explanation:
Assuming you meant
570=(x+23)
570-23=x
547 = x
on Monday, there were 18 chickens and 12 sheeps in a field. there were no other animals in the field. what was the ratio of chickens to sheep i the field on monday?
Answer:
18:12
Step-by-step explanation:
The ratio of chickens to sheep in the field on monday is 2 : 3.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
Given, On Monday, there were 18 chickens and 12 sheeps in a field.
Therefore, For every 18 chickens there is 12 sheeps in the feild.
So, Monday's chickens to sheep ratio in the field is,
Chicken : Sheep = 12 : 18.
Chicken : Sheep = 4 : 6.
Chicken : Sheep = 2 : 3.
learn more about proportion here :
https://brainly.com/question/7096655
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if x+y=12 and xy=27 . find x^3+y^3
pls help with steps
Answer:
Step-by-step explanation:
use formula
x^3+y^3=(x+y)^3-3*x*y(x+y)
=12^3-3*27(12)
=1728-972
=756
Answer:
x^3 + y^3 = 756
Step-by-step explanation:
Given that, x+y=12 and xy=27
We know that,
[tex]( x + y )^3 = x^3 + y^3 + 3xy(x + y)[/tex]
∴ [tex]12^3 = x^3 + y^3 + 3 * 27 * 12[/tex]
[tex]=> 1728 = x^3 + y^3 + 972[/tex]
[tex]x^3 + y^3 = 1728 - 972[/tex]
[tex]==> x^3 + y^3 = 756[/tex]
Luis compra 126 celulares a $268 por cada uno. Cada celular fue vendido a $325 ¿Cuánto dinero gano Luis?
Answer:
Ganancia total= $7.182
Step-by-step explanation:
Dada la siguiente información:
Luis compra 126 celulares a $268 por cada uno. Cada celular fue vendido a $325.
Primero debemos calcular cuanto gana con cada celular:
Ganancia unitaria= 325 - 268
Ganancia unitaria= $57
Ahora, la ganancia total:
Gnanacia total= 57*126
Ganancia total= $7.182
which expression is equivalent to 4+x+x+2x+5+3+x?
A.17x
B.5x+14
C.4x+14
D.2x+15x
[tex]\boxed{B.\:5x\:+\:12}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]4 + x + x + 2x + 5 + 3 + x \\ = (x + x + 2x + x) + 12 \\ since \: they \: are \: like \: terms, \: we \: can \: add \: them \\ = 5x + 12[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
HIE
YA
HHHHHHHH111111111111
Use the calculator to fill
in the table & graph for
the equation y=3x - 2.
6
5
у
3
2
1
1 2 3 4 5 6
0
-6-5-4-3-2-1
-11
-2-
-3
1
2
-5
-6
3
Students, draw anywhere on this slide!
Answer:
y = 3x-2
Step-by-step explanation:
Round 1.3185 to 1 decimal place
Answer:
1
Step-by-step explanation:
Because 1.38185 is below 1.5 so it rounds to 1
Aircraft A has 126 more seats than aircraft B. If their total number of seats is 440 , find the number of seats for each aircraft.
Answer:
Aircraft A = 283 seats
Aircraft B = 157 seats
Step-by-step explanation:
Aircraft A = B + 126
Aircraft B
A + B= 440
B + 126 + B= 440
Collect the like terms
B+B+126= 440
2B+126= 440
2B= 440-126
2B= 314
B= 157
Substitute 157 for B in equation 1
A= B+126
A= 157+126
A= 283
Hence Aircraft A has 283 seats and Aircraft B has 157 seats
I need help with these too if you help me and graph and tell it how did you get the answer I will give you 20 points.
Answer:
I only know number 11 sorry :(
11. (Image attached)
Step-by-step explanation:
First, I would find the y intercept, which is 4. Next I found the slope of -3 by finding the rise of -3 (3 to left), then the run (1 up).
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Have a good day :)
please please help!! i don’t know how to do this
Answer:
What is your question I will not see and understand
Mhanifa please help! If I don’t get this done I will fail this class :(
Answer:
#1
x/9 = tan 60°x = 9 tan 60° x = 15.6 m#2
cos θ = 15.1/16.5cos θ = 0.915θ = arccos (0.915)θ = 23.8°#3
10/x = tan 42°x = 10 / tan 42°x = 11.1 mRepresent root 2 on the number line
Look at the both picture.
The net below represents a container.
What solid figure is represented by the net?
Answer:
Triangular prism
Step-by-step explanation:
Triangle baces and Rectangle sides make a Triangular prism.
Which question is a statistical question? A Which U.S. States have mountains?Which U.S. States have mountains? B Which mountain range do U.S. Citizens most enjoy visiting?Which mountain range do U.S. Citizens most enjoy visiting? C How many mountain ranges are in the U.S.?How many mountain ranges are in the U.S.? D How tall is the tallest mountain in the U.S.?
Answer: C. How many mountain ranges are in the U.S.
Step-by-step explanation:
A statistical question first of all has to have a quantitative response i.e., answers should be in numbers.
The only two questions here that would yield a numeric answer are options C and D.
Furthermore, a statistical question has variability in it which means that the answer is based on multiple observations not just one. The observations in option C are mountain ranges and as the question requires finding out details about multiple mountain ranges, this is a statistical question.
This is opposed to option D which addresses issues surrounding just one mountain.
PLEASE HELP!!! MATH 14.1 The law of sines
Answer:
[tex]\huge\boxed{Law \ Of \ Sines \hookleftarrow}[/tex]
[tex]\huge\bold{\frac{a}{ \sin (A)} = \frac{b}{ \sin \: (B) } = \frac{c}{ \sin \:( C) }} [/tex]
➟ In a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C.
# ꧁❣ RainbowSalt2²2² ࿐
evaluate2x
X= 5 -3
-4 2
Answer :
Evaluate
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 2 i √ 5 , − 2 i √ 5
Step-by-step explanation: