Answer:
Hence, three equivalent ratios of 8: 6 are 16: 12, 24: 18, and 32: 24.
Step-by-step explanation:
Please give the brainliest, really appreciate it.
The general solution of the given non homogeneous
equation is
y(t)=c₁[tex]e^{-t}[/tex] +c₂[tex]e^{t}[/tex] - t
A non-homogeneous system of equations is a system in which the vector of constants on the right-hand side of the equal sign is non-zero.
Given:-General solution for the equation: [tex]y^{"} - y^{'} = t[/tex], [tex]y_{p} (t) = - t[/tex]
Explanation:-Consider the equation [tex]y^{"} - y^{'} = t[/tex] . The corresponding homogeneous equation has the associated auxiliary equation [tex]r^{2} -1 =0[/tex] which has [tex]r^{} =-1[/tex] and [tex]r^{} =1[/tex] as solutions.
The solution of an n-order differential equation depends on an algebraic equation of degree n called the characteristic equation (or auxiliary equation) in mathematics.
Hence the general solution for a homogeneous equation is
y(t) = [tex]-t[/tex]+[tex]c[/tex]₁[tex]e^{t}[/tex]+[tex]c[/tex]₂[tex]e^{-t}[/tex]
Combining the general solution [tex]y(t)=c[/tex]₁[tex]e^{t}+c[/tex]₂ [tex]e^{t}[/tex] with the particular solution of [tex]y_{p} (t) =-t[/tex] of [tex]y'-y"=t[/tex], we find that the general solution to[tex]y"-y'=t[/tex] is [tex]y(t)=c[/tex]₁[tex]e^{-t}+c[/tex]₂[tex]e^{t}[/tex]
The general solution of the given non homogeneous equation is
y(t)=c₁[tex]e^{-t}[/tex] +c₂[tex]e^{t}[/tex] - t
To learn more about non homogeneous equation visit:
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PLSS HELP ME I AM GOING TO CRY IF I DONT GET THIS ANSWER PLSS HELP ME What is the slope-intercept equation of the line below?
Answer:
y = -3x + 4
Step-by-step explanation:
Hey!
==================================================================
Slope-Intercept Form: y - mx + b, where m is the slope and b is the y-intercept (point where x =0).
Since we know that the slope is -3, we substitute that in for m.
⇒y = -3x + b
Now, we know the y-intercept is 4, so we substitute that in for b:
⇒y = -3x + 4
==================================================================
Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
-Aadi x
Mangi surveyed students about their favorite types of music. Find the ratio of students who chose dance to the total number of students surveyed. Favorite Music Pop 7 Country 5 Dance 4
Answer:
1 : 4
Step-by-step explanation:
Given:
Favorite Music :
Pop _____ 7
Country __ 5
Dance ___ 4
Total number of students surveyed :
(pop + country + dance). = (7 + 5 + 4) = 16
Number who chose dance = 4
Ratio of dance to total number surveyed
4 : 16 = 1 : 4
1 :4 (lowest term)
PLEASE HELP. no links.
Answer:
45 i think
Step-by-step explanation:
Which grab does not show a liner function
Answer:
Top left
Step-by-step explanation:
4-
2-
р
911) =
-1 – 3+ 4
0
-4
- 2
2
4
-2-
On which interval are both functions increasing?
O
1-2
3
4
0
-
c)
Answer:
Step-by-step explanation:
To get the correct answer, you can count the total number of shaded tenths and the total number of shaded hundredths and then regroup.
There are 9 shaded tenths and 18 shaded hundredths. Regroup 10 hundredths into 1 tenth to get 10 tenths and 8 hundredths. Then regroup the 10 tenths in one whole, giving you 1 whole and 8 hundredths. The product is 1.08.
Another way to get the answer is to count the total number of shaded hundredths. There are 108 hundredths. Regroup 100 of them as one whole, giving you 1 whole and 8 hundredths.
Find the area of an equilateral triangle with perimeter 18.
Answer:
15.59 un²
Step-by-step explanation:
18 ÷ 3 = 6
15.59 un²
Which option below best describes the maximums of these two functions? Function g has the greater maximum of 2. Functions g and h have the same maximum of -2. Functions g and h have the same maximum of 2. Function h has the greater maximum of -2.
Answer:
salak
Step-by-step explanation:
Can you solve the inequalities 9.50(70+x)≥1000
Answer: x_>(70+x_>)1000
Step-by-step explanation:
Answer:
35.26315789
Step-by-step explanation:
Question: 9.5(70+x)≥1000
70+x≥1000/9.5
(divide by 9.5 into both sides)
70+x≥105.2631579
x≥105.2631579-70
(minus 70 into both sides)
x≥670/19
x≥35.26315789
Marcello sells coupon books to his neighbors. 4 neighbors each buy 2 coupon books. There are 8 coupons in each book. What is the total number of coupons that all of his neighbors will get? Enter your answer in the box.
Answer:
64
Step-by-step explanation:
Marcello sells coupon books to his neighbors
4 neighbors each buy 2 coupon books
Each book have 8 coupons
Therefore the total number of coupons that all neighbors will get can be calculated as follows
Each neighbor will get 16 coupon
Hence the whole neighbors will get
16×4
= 64 coupons
Which value is included in the solution set for the inequality graphed on the number line?
0
1
2
3
4
3
Answer:
2
Step-by-step explanation:
8) The volume of a cuboid 12cm long 9 sm broad and 6 cm high is
a) 648 cm b) 648 m3
c) 648 cm3 d) 648 m
[tex] \color{magenta} \huge{ \tt{{Answer}}}[/tex]
8.) The volume of a cuboid 12cm long 9 sm broad and 6 cm high is?
A.) 648 cmNote: My answer is base on my understanding to your question.
Hopefully Help:)
#CarryOnLearning_MafiaQueen4
very easy and you get 10 points
Answer and Step-by-step explanation:
The answer to this question is 21.
We can easily find the height of the triangle by going to the bottom point of the triangle and counting up each line.
The height is equal to 6.
When we create this line for the height, it sections off two triangle, one with a side of 4 and the other with a side of 3.
To find the area of a triangle, we must Multiply the side lengths together, then Divide by 2.
Triangle 1
4 × 6 = 24
24 ÷ 2 = 12
Triangle 2
3 × 6 = 18
18 ÷ 2 = 9
Now, we add together the areas to get the area of the full triangle.
12 + 9 = 21.
The area of the triangle is 21 [tex]cm^2[/tex].
#teamtrees #PAW (Plant And Water)
Which event is most likely to occur?
A. flipping a fair coin, with sides labeled heads and tails, and the coin landing on tails
B. choosing a marble out of a bag, with nine blue marbles and one red marble, and the marble is red
C. rolling a fair number cube, with faces labeled one to six, and the cube landing on a number less than six
D. spinning the arrow on a spinner, with four equal sectors labeled one to four, and the arrow landing on a number greater than one
a firefighter is placing a 15-foot ladder against a house. he places the ladder 10 feet away from the house. how high up the house will he be able to reach? round to the nearest foot
Donna borrowed $10, 500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether?
Donna borrowed $10,500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether ?
Answer:-Given:-[tex] \bullet [/tex] Principal (P) = $10,500
[tex] \bullet [/tex] Rate of interest (r) = 4%
[tex] \bullet [/tex] Time (t) = 3 years
To Find:-Interest of Donna and amount of car altogether.
Solution:-We know,
[tex] { \boxed{\rm \red {I \: = \frac{Prt}{100}}}} [/tex]
[tex] \therefore [/tex] I = [tex] \frac{10,500 \: × \: 4 \: × \: 3}{100} [/tex]
I = [tex] \frac{126,000}{100} [/tex]
I = $1260
Now,
Amount of the car = $ (10,500 + 1260)
= $ 11,760
$1260 interest would Donna pay and $11,760 is the car altogether. [Answer]Step-by-step explanation:
We know that Interest = Principal×Rate×Time/100
So,
10,500×4×3/100
= 10,500×3/25 (by cancelling 100 by 4)
=31500/25
= 1260
Therefore,
$1260 Answer
hope it helps.....
which digit in 123.45 is in the tenths place
Answer:
4. But if u meant like rounding it would be 123.5
Step-by-step explanation:
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For the following set of temperatures recorded during 7 days in Hartford, find the mean.
51º, 530, 640, 499, 64º, 540, 50°
The mean is
Answer:
means is 339.142 degrees
Step-by-step explanation:
mean= sum of all values /number of values
mean=2374/7
mean=339.142
solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth
Answer:
i thought i had the answer but then i got it wrong im sorry
Step-by-step explanation:
Answer:
Step-by-step explanation:
Remark
The side opposite (the side not connected to the angle) and the hypotenuse relate the sine
Equation
Sin(y) = opposite / hypotenuse
Solution
y = 41 degrees
hypotenuse = 12
x = ?
Sin(41) = x / 12 Multiply both sides by 12
12 Sin(41) = x
Sin(41) = 0.6561
12 * 0.6561 = x
x = 7.8727
-3x=6.3
what is x value
Answer:
-2.1 so you divide 6.3 and -3 and then boom that your answer
Answer:
[tex]x=-2.1[/tex]
Step-by-step explanation:
1. Solve the equation using division
[tex]\frac{-3}{-3} x=\frac{6.3}{-3}[/tex]
2. Solve equation
[tex]x=-2.1[/tex]
3. Check answer
[tex]-3(-2.1)=6.3\\6.3=6.3[/tex]
En Cartagena de cada 10 personas 4 tienen una enfermedad, a este ritmo ¿cuántas personas se contagiarán si son 400 personas?
porfa para ya
ayudaaaaaaa
Answer:
Se contagiarian 160 personas.
Step-by-step explanation:
Para este problema debenos usar la siguiente regla de tres:
[tex]\frac{10(personas)}{4(enfermas)}=\frac{400(personas)}{x(enfermas)}[/tex]
Ahora, debemos despejar x de la ecuacion de arriba.
[tex]x=\frac{400(personas)*4(enfermas)}{10(personas)}[/tex]
[tex]x=160(enfermas)[/tex]
Por lo tanto, se contagiarian 160 personas.
Espero te haya sido de ayuda!
Someone help if right will mark brainiest
Answer:
D, 3/5
Step-by-step explanation:
Sin equals opposite over hypotenuse.
The side opposite of Z is 30, the hypotenuse is 50
30/50 simplifies to 3/5
pls help!! this is due in like 5 mins :/. (i’ll give u brainiest if u don’t provide a link just pls help me!)
Answer:
3 is first
4 is second
1 is third
2 is fourth
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
it helps keep the insulation in so their feet get cold
195.43 rounded to the nearest 10th
Answer is
195
or if you actually mean a tenth it would be
100
The work of a student to solve the equation 2(4x - 4) = 8 + 4x + 4 is shown
below:
Step 1. 2(4x - 4) = 8 + 4x + 4
Step 2. 6x - 6 = 12 + 4x
Step 3. 6x - 4x = 12 + 6
Step 4.2x = 18
Step 5. x = 9
In which step did the student first make an error and what is the correct step?
(1 point)
Step 2, 8x - 6 = 2(6 + 2x + 2)
Step 2, 8x - 8 = 12 + 4x
Step 3, 6x - 4x = 12 - 6
Step 3, 6x + 4x = 12 + 6
O
81
5
Step-by-step explanation:
Step1=8x-6=2(6+2x+2)
Step2=8x-6=12+4x+4
Step3=8x-6=16+4x
Step4=4x=20
Step5=x=20÷4
Step6=x=5//Ans
Please help and explain how you got the answer I am also being timed so please answer quickly thank you for your time
Answer:
I got you!
The correct answer is B Fitteen is less than r
To translate that into a numerical inaquiltiy, that is 15<r but the answer to the question is B.
Hope this helps!
Brainliest would be nice!
Answer:
B
Step-by-step explanation:
Hello There!
An inequality must include < or > which means greater than or less than
This meaning that the inequality when shown by using words must include the is less than or more (sometimes greater) than
The answer would be B because it uses the expression is less than which can be represented by the inequality sign <
15 is less than r
exchange the inequality sign with is less than
15 < r
they still have the same meaning and it is written as an inequality
Reasons why its not the other answer choices
For A:
Four times 0.45 plus x
written as an expression:
4(0.45+x)
the expression does not include < or > therefore the statement "Four times 0.45 plus x " cannot be written as an inequality
For C:
Half the product of 4 and s
written as an expression:
[tex]\frac{4s}{2}[/tex]
once again the expression does not include an inequality sign therefore C is not the answer.
For D:
eight times p is 20
written as an expression
8p = 20
Like the other answer choices the expression does not include an inequality sign therefore D is not the correct answer choice
A laptop carry bag cost $30. The total cost will include an 8% sales tax. Which expression can be used in calculating the total cost with tax?
Answer:
30+8%=C
Step-by-step explanation:
place the cost of the bag first then add the precent and make it equal to C wich is cost
#1. Use substitution to solve the system of equations
y = 6x
2x + 3y = -20
Solution: (
Answer:
I hope this would help you:)
HELP, thanks, If a triangle has a side length of 8 inches, and another side length of 5 inches, which of the
following choices for the third side length will make a triangle?
a. 7 inches
b. 2 inches
c. 13 inches
d. 15 inches
Answer:
a. 7
Step-by-step explanation:
So a triangle a two sides that will always sum up to be greater than the third side.
Meaning:
a + b > c
a + c > b
b + c > a
So here, we're given a and b:
8 + 5 > c
8 + c > 5
5 + c > 8
Plug in the values:
13 > 7
15 > 5
12 > 8
These are all true, so it's probably 7.
13 > 2
10 > 5
7 > 8 This one is not true, so not 2.
13 > 13 This is not true, so not 13.
If not 13, we can't go any higher and so it can't be 15.
Solve the problem below by finding a common denominator 1/3 - 1/5
Answer:
2/15
Step-by-step explanation:
1/3-1/5
5/15-3/15
= 2/15
Answer:
hi
Step-by-step explanation:
[tex] \frac{1}{3} - \frac{1}{5} = \frac{5}{15} - \frac{3}{15} = \frac{2}{15} [/tex]
have a nice day