Answer: 2
Step-by-step explanation:
Consider the differential equationy′′+3y′−10y=0.(a) Find the general solution to this differential equation.(b) Now solve the initial-value problem corresponding to y(0)=2 and y′(0)=10.
Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)
How do I solve this?
2^5 - 4^2 / 2^2
Answer:
28
Step-by-step explanation:
4 squared is equal to 16
2 squared is equal to 4
16÷4=4
2 to the fifth is 32 (2x2x2x2x2)
32-4=28
Hope this helps :-)
Sketch and shade the region in the xy-plane defined by the equation or inequalities. |x| < 7 and |y| < 2
Answer:
Here we have:
IxI < 7
This also can be written as:
-7 < x < 7
and:
IyI < 2.
As above, we can write this as:
-2 < y < 2.
Then the graph of this region will be a rectangular area, where the perimeter is a dashed line (because here we use the strictly smaller or strictly larger symbols)
Such that the vertical component goes from -2 to 2, and the horizontal component goes from -7 to 7.
The area would be the area inside that rectangle, where i did not shade it so it is easier to read.
16. The price of an item will increase by RM4 every month. If the current price
is RM258, find its price in ten months' time.
Answer:
Sol:
The current price of item = RM258
The price that increases every month = RM4
Now,
It's price in ten month's line= Current price + 10 X increased price per month
= RM 258 + 10X RM4
=RM 258+ RM 40
= RM 298
Therefore, it's price in ten month's line will be RM 298
PLEASE HELP WITH PART 2! :)
Answer:
• The equation is a contradiction
• The solution set is Ø
Step-by-step explanation:
The simplest approach to this problem is solving for the value of y, and then identifying what type of equation it is. Remember that conditional equations have a defined value, contradiction equations have no solutions, and identity type equations have infinite solutions. Let's solve for y,
[tex]\mathrm{Given:5y\:+\:5\:-\:11y\:=\:-\:2y\:-\:7\:-\:4y},\\\\\mathrm{Add\:similar\:elements:}\\\\=> -6y+5=-2y-7-4y\\=> -6y+6y=-6y-12+6y\\=>0=-12[/tex]
Both sides are not equal, and hence we have no solutions. Our equation is contradiction, and the solution set is Ø.
Steps to solve:
~Combine like terms
-6y + 5 = -6y - 7
~Subtract 5 to both sides
-6y = -6y - 12
~Add 6 to both sides
0 = -12
There are no solutions.
Best of Luck!
PLS HELP WILL MARK BRAINLIEST!
Regarding a regression model, which of the following description is wrong? Say x is predictor and y is the outcome.a. Without the regression model, the best prediction of y is the mean of y.b. The amount of variability in y that can be explainedc. The regression line does not always pass through the point (X, Y)d. The regression models can have more than three predictors at the same time.
Answer:
D)
Step-by-step explanation:
The regression model can have one or more predictor (x dependent variable) at the same time.
What number should be placed in the box to help complete the division calculation? Long division setup showing an incomplete calculation. 12 is in the divisor, 6839 is in the dividend, and 5 hundreds and 6 tens is written in the quotient. 6000 is subtracted from 6839 to give 839. An unknown value represented by a box is being subtracted from 839. Numerical Answers Expected! Answer for Blank 1: Look at the pic
Answer: The answer is 720
Step-by-step explanation: I started off by guessing a random number, i picked 10. So i multiplied 12x10 and i got 120. I added 120 with 120 until i got something close enough (720.) I got it right on the test as well- :)
if a company sells about 3 of product A for every 2 of product B, how many of each would they sell if a total of 7500 were sold?
(Ticket sales) tickets for a community theater costs $10 for each main floor seat and $8 for each balcony seat. There are 400 seats on the main floor, and these seats were sold out for the evening performance. The total revenue from ticket sales was $5200. How many balcony seats were song?
Answer:
150
Step-by-step explanation:
400*10=4000
5200-4000=1200
1200 divided by 8 =150
Answer:
150 seats were sold.
Step-by-step explanation:
first do 10x400= 4000
then 5200-4000= 1200
divide that by how much balcony tickets cost, so 1200÷8= 150 seats
the positive square root of 28?
Answer:
is 4 i think
Step-by-step explanation:
WHAT IS 100 TIMES GREATER THAN 20
Answer:
2000
Step-by-step explanation:
20 x 100 = 2000
Hope this helps
y = 7x - 15
y = 4x - 12
Answer:
Step-by-step explanation:
7x - 15 = 4x - 12
3x - 15 = -12
3x = 3
x = 1
y = 7(1) - 15
y = 7 - 15
y = -8
(1, -8)
Write an equation in slope intercept form for the line described. slope -1/2, passes through (0,5)
Answer:
y=-1/2x+5
Step-by-step explanation:
WILL MARK BRAINLIEST EASY MATH PROBLEM!!! + FREE VBUCKSSS
Answer:
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Find the difference. (-ab+5a-8)-(4ab-5)
Answer:
-5ab + 5a - 3
Step-by-step explanation:
(-ab + 5a - 8) - (4ab - 5) =- ab + 5a - 8 - 4ab + 5 = (-1 - 4)ab + 5a - 3 =-5ab + 5a - 3Mr. Edwards bought a 50-pound bag of flour for his bakery. It was equally divided among 6 days. How much flour was used per day?
Answer:
8 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
50 ÷ 6 = 8.3333333333... Which simplify's (as a fraction) into 8 [tex]\frac{1}{3}[/tex].
Each day 8.33 pounds of flour is used.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Mr. Edwards bought a 50-pound bag of flour for his bakery.
It was equally divided among 6 days.
So, According per day the flour will be used
= 50/6
= 25/3
= 8.33 pound
Hence, 8.33 pounds used per day.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
If you have 1,478 squares, can you make a stair-like structure using all of the squares?
Find the perimeter of the triangle to the nearest whole unit.
18.
16.
14.
12.
Answer:
14
Step-by-step explanation:
Perimeter of the ∆ = sum of the length of the 3 sides.
The length of the 3 sides can be calculated by using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between the vertices of the ∆.
The coordinates of the 3 vertices are:
(-1, 3), (2, 2), (-2, -2)
Distance between (-1, 3) and (2, 2):
Let,
[tex] (-1, 3) = (x_1, y_1) [/tex]
[tex] (2, 2) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(2 -(-1))^2 + (2 - 3)^2} [/tex]
[tex] d = \sqrt{(3)^2 + (-1)^2} [/tex]
[tex] d = \sqrt{9 + 1} = \sqrt{10} = 3.2 units [/tex]
Distance between (2, 2) and (-2, -2)
Let,
[tex] (2, 2) = (x_1, y_1) [/tex]
[tex] (-2, -2) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(-2 - 2)^2 + (-2 - 2)^2} [/tex]
[tex] d = \sqrt{(-4)^2 + (-4)^2} [/tex]
[tex] d = \sqrt{16 + 16} = \sqrt{32} = 5.7 units [/tex]
Distance between (-2, -2) and (-1, 3)
Let,
[tex] (-2, -2) = (x_1, y_1) [/tex]
[tex] (-1, 3) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(-1 -(-2))^2 + (3 -(-2))^2} [/tex]
[tex] d = \sqrt{(1)^2 + (5)^2} [/tex]
[tex] d = \sqrt{1 + 25} = \sqrt{26} = 5.1 units [/tex]
Perimeter of triangle = 3.2 + 5.7 + 5.1 = 14.0 units
Rewrite 6(10 + 2) using the Distributive Property. Then simplify.
Answer:
72 simplified
Step-by-step explanation:
6 x 10 + 6 x 2
60 + 12 = 72
Answer:
[tex]\huge\boxed{\boxed{72}}[/tex]
Step-by-step explanation:
Hello.
This problem can be solved without using the Distributive Property; all we have to do is use... mental maths. :)
First, add 10 plus 2:
12
Now, multiply 12 times 6:
72
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
I had $3.00.
My Mom gave me $10.00.
My Dad Gave me $30.00.
My Aunt & Uncle gave me $100.00.
I had another $7.00.
How much did I have?
Respuesta:
200.00.
Exli con i
esunsua ma
Here, I required to determine how much I have.
According to the data in the question;
I had $3.00.Then, My Mom gave me $10.00.Then, My Dad gave me $30.00.My Aunt & Uncle gave me $100.00.I had another $7.00.Therefore, the algebraic sum of all my money results in the amount I have now.
The amount I have now is:
$3.00 + $10.00 + $30.00 + $100.00 + $7.00= $150.
The amount I have now is: $150
6+4m-1=21
I think this is the last question so please be quick and help!
Step-by-step explanation:
5+4m=21
4m=21-5
4m=16
m=16/4
m=4
Answer:
m=6
Step-by-step explanation:
(6)+4m(-1)=21<subtract 6-1
(-5)+4m=(21)<subtract 5 to both sides
(4m)=(26)<divide
#16 What are the coordinates of S?
It's possible to build a triangle with side lengths of 4, 4, and 16
Answer:
Yes it's possible to make a triangle with 4, 4 and 16.
But if it also has 2 equal angles along with the equal sides (4 and 4), you can call it isosceles triangle.
find how many natural numbers are there between 80 and 120
Answer:
40
Step-by-step explanation:
Natural numbers are numbers that occur commonly in nature and are whole non-negative numbers. Therefore, there are 40 natural numbers between 80 and 120.
What is the multiplication 12×4
Answer: 48
12+12=24
24+12=36
36+12=48
12x4= 48
Arrange the numbers one on top of the other and line up the place values in columns.
Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top number.
Write the answer below the equals line.
:)
Suppose that, in 1995, Germany produced 4.719 million computers. The total world production that year totaled 80 million computers. What percent of the world's total production of computers is contributed by Germany? Round your answer to the nearest tenth.
Answer:
To the nearest tenth
Percentage= 5.9%
Step-by-step explanation:
In 1995, Germany produced 4.719 million computers.
In that same year, the total computer production of the whole world was 80 million.
The percentage of the world production contributed by Germany
=Number produced by Germany/Number produced by the whole world * 100
The percentage of the world production contributed by Germany
=( 4.719/80)*100
The percentage of the world production contributed by Germany
=5.89875%
To the nearest tenth
= 5.9%
A bag of peanuts weights 8 1/3 pounds. One serving
Is 1/3 pound. How many servings are in the bag?
Answer:
There are three servings in 1 pound so there are 8*3 servings in one pound which is 24. Plus an extra serving for the extra 1/3 pound makes for a final answer of 25 servings.
PLZ HELP I"LL GIVE BRAINLIEST TO THE BEST ANSWER AND 5 STARS AND A THANKS. PLZ ITS IN THE PICTURE!!!
Answer:
The constant of proportionality is 1/3.
Step-by-step explanation:
You can find this answer by taking two coordinates shown and put them into a fraction form.
Example:
The second coordinate is (2, 6)--> 2/6, which reduced is 1/3.
To test that 1/3 is correct, you can do another coordinate: (4, 12)-->4/12, which reduced is also 1/3.
So 1/ 3 is correct.
Or take a look at the graph...
the red lines are always two units across, and the blue lines are always six units in height. So 2/6, (length, height), which can be reduced to 1/3, the constant of proportionality.
One of the specialties at Dixie’s Cafe is vegetable stew, which simmers over a low flame all day. Since the cooking time is so long, Dixie must decide in the morning how many servings of the stew to cook for that night’s dinner service. Moreover, the stew cooked on a given day cannot be served the next day; it must be thrown away. Vegetable stew is the highest-profit item on the menu at Dixie's Cafe. It earns Dixie a profit of $8. Demand for in-flight meals Cumulative d Probability f(d) Probability F(d) 40 0.01 0.01 41 0.03 0.04 42 0.04 0.0843 0.05 0.1344 0.08 0.2145 0.09 0.346 0.12 0.42 47 0.13 0.55 48 0.17 0.7249 0.12 0.8450 0.08 0.9251 0.03 0.95 52 0.02 0.9753 0.02 0.01 54 0.99 1 serving, whereas all the other items earn a profit of $4. Customers who want stew but find it out of stock will order one of these other items. The ingredients for one serving of stew cost the Cafe $2.50. A) First suppose that the demand for stew on a given evening is normally distributed with a mean of 18 and a variance of 16. How many servings of stew should Dixie prepare in the morning? (Fractional servings are OK). What is the expected cost (ingredients and lost profit) of the optimal solution? B) Now suppose that the demand is distributed as an exponential random variable with mean 18. How many servings should Dixie prepare?
Answer:
what the hell i cant under stand u need to press enter more
Step-by-step explanation: