Answer:
y = Ae^2xcos√3 x + Be^2xsin√3 x
Step-by-step explanation:
Given the differential equation
y''-4y' +7y =0
Let my = y' and m²y =y''
The auxiliary equation is expressed as;
m²y - 4my +7y = 0
(m²-4m+7)y =0
Divide through by y;
m²-4m+7= 0
Factorize the auxiliary equation
m = 4±√16-4(7)/2
m = 4±√-12/2
m = 4±2√3 i/2
m = 2+√3i
From the complex number a = 2(real part)
b = √3 (imaginary part)
Substitute into the general solution
y = Ae^axcosbx + Be^axsinbx
y = Ae^2xcos√3 x + Be^2xsin√3 x
Find the area of the Compound shape
The answer is 45 m^2
I just need the steps....
Answer:
45 cm^2
Step-by-step explanation:
Dividing the shape into the two separate components of a square and a triangle makes it easier.
The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.
Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.
Which would be 1/2*6*3=9cm^2.
Adding the two, 9+36= 45cm^2.
Fomular for finding perimeter area and circumference of a circle
Answer:
perimeter of a circle=2πR
The perimeter of a circle is the circumference of the circle.
CIRCUMFERENCE
There are two formulas:
1. C = πd (use if the problem gives you the diameter only)
2. C = 2πr (use if the problem gives you the radius only)
AREA
There are several area formulas for a circle but I think for you at your level of math, A = πr^2 is all you need to know.
Imagine that James has been bowling for over 10 years and never gets any better or any worse. The probability that he will bowl a strike on any attempt of rolling a bowling ball stays at a constant 55%. During a particular bowling game, what is the probability that James will not bowl a strike until his fourth attempt?
Answer:
5.01%
Step-by-step explanation:
In order to calculate a sequence of events you need to multiply the probability of each event happening with one another in decimal form. In this scenario, the probability of James bowling a strike is 55% meaning that the probability of James NOT bowling a strike is 45%. We want to know the probability of James NOT bowling a strike for 3 attempts and then bowling a strike on his fourth attempt. We first turn these probabilities into decimal form by dividing them by 100. And then multiply...
55 / 100 = 0.55
45 / 100 = 0.45
0.45 * 0.45 * 0.45 * 0.55 = 0.05011875
Multiply by 100 to get percentage.
0.05011875 * 100 = 5.01%
the zoo has 30 animals all of them are lions or monkeys. There is a ratio of 3 lions to 7 monkeys. How many monkeys are there?
Answer:
21 monkeys
Work:
The ratio is 3:7 so 3*3=9 lions 7*3=21 monkeys
9+21=30
Please answer all of these
Round 258,177 to the nearest hundred thousand.
Answer:
It's 300,000
Step-by-step explanation:
if you round (25)0,000 off you get 300000, so you don't have to worry about the other digits too much
So answer this ok WHO HATES JIJI on ST MATH
Answer:
me
Step-by-step explanation:
Answer:
st math
Step-by-step explanation:
Richard and Teo have a combined age of 36. Richard is 12 years older than twice Teo's age. How old are Richard and Teo?
Answer:
teo is 8 and richard is 28
Step-by-step explanation:
12. According to the label, the package of crackers contains 6 grams of fat, which is 8% of the recommended daily value.
How many total daily grams of fat are recommended in a day?
8minus 2n +3p has how many terms
Answer:
It has two terms.
Step-by-step explanation:
Please help me with math.
Answer:
Step-by-step explanation:
1. Zero point six.
2. In 0.6 the 6 is in tenths place, so place 6 over 10 to create the equivalent fraction 6/10, and 0.60 is 60/100.
3. We can use the same diagram to represent 0.6 and 0.60 because they are equivalent, 0.6 is 60 percent cause the 6 is in the tenths place, 0.60 is also 60 percenr take the zero away and keep the decimal point which is .60 the 6 is still in tenths place.
It cost 21 dollars to sent 3 packages. how much does it cost to send 1 package?
Answer:
7
Step-by-step explanation:
21/3=7
Answer:
7 dollars/$7
Step-by-step explanation:
21 divided by 3 = 7
$7 to send 1 package.
solve 7(x-3)+x+22=17 for x.
Answer:
x=-13/4
Step-by-step explanation:
hope this helps :)
Answer:
x = 1
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(x-3)+x+22-(17)=0
Step by step solution :
STEP 1:
Pulling out like terms
1.1 Pull out like factors :
2x + 2 = 2 • (x + 1)
Equation at the end of step 1:
STEP 2:
Equations which are never true:
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x+1 = 0
Subtract 1 from both sides of the equation :
x = 1
One Solution Was Made :
x = 1
HOPE THIS HELPS!
PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN!
Find the area of a compound shape
Can you please explain
Answer: right there
Step-by-step explanation:
Find area of semi circle, and then rectangle.(rectangle is 20x14). 20xdiameter.
evaluate 8.3s + 7.5t when s=3 and t=4
plz help
The sum of three numbers is 110. The third number is 4 times the second. The first number is 10 less than the second. What are the numbers?
Answer:
This is a bit confusing for me but here we go.
1x110
10x11 and
i don't really know the third
Step-by-step explanation:
Clinton had his sister sell some of their toys at a garage sale. Clinton makes $12.94 at the sale, and his sister makes $20.18.How much less did Clinton make at the garage sale than his sister
Answer:
$7.24
Step-by-step explanation:
it just is
See the picture below please help me and thank you.
Answer: -1.13
Step-by-step explanation:
If 4.6 plus 1.9 times a number equals the sum of the number and 94.6, what is the number? Express your answer as a simplified fraction or a decimal rounded to two places.
Answer:
The number is:
x=99.67Step-by-step explanation:
Let 'x' be the number
4.6 plus 1.9 times a number 'x' = 4.6 + 1.9xSum of number 'x' and 94.6 = x+94.6Given that 4.6 plus 1.9 times a number equals the sum of the number and 94.6.
so the equation becomes
[tex]4.9+1.9x=x+94.6[/tex]
[tex]1.9x-x=94.6-4.9[/tex]
[tex]0.9x=89.7[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]0.9x\cdot \:10=89.7\cdot \:10[/tex]
[tex]9x=897[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}9[/tex]
[tex]\frac{9x}{9}=\frac{897}{9}[/tex]
[tex]x=\frac{299}{3}[/tex]
[tex]x=99.67[/tex]
Therefore, the number is:
x=99.67I need help in number 2 ASAP please
Answer:
Step-by-step explanation:
angle A + angle B + angle C = 180° [Sum of all angles of a triangle is 180°]
=> 2x+1 + x+15 + x = 180°
=> 4x + 16 = 180°
=> 4x = 180° - 16°
=> 4x = 164°
=> x = ([tex]\frac{164}{4}[/tex])°
=> x = 41°
[tex]\\[/tex]
angle A = 2x+1 = 2×41 +1 = 82 + 1
=> 83°
angle B = x+15 = 41+15
=> 56°
angle C = x
=> 41°
[tex]\\\\\\[/tex]
HOPE IT HELPS
PLEASE MARK ME BRAINLIEST ✿(◕ᴗ◕)✿
A storage company must design a large rectangular container with a square base. The volume is 6750ft3. The material for the top costs $12 per square foot, the material for the sides costs $5 per square foot, and the material for the bottom costs $8 per square foot. Find the dimensions of the container that will minimize the total cost of material.
Please help me it’s due today at 3:00pm will mark brainiest please help me please
Answer: 83
Step-by-step explanation:
(88+92+87+x)/4 = 90
(277+x)/4 = 90
x+ 277 = 360
x = 83
88+92+87+93 = 360 / 4 = 90
You'll probably need to get 93 on your fourth grade
A video game has 26 levels. You can score 5,337 points on each level. How many
hurry plzz
Answer:
Rounded: 205
Orignal:205.269230769...
Step-by-step explanation:
Divide 5337 by 26
Answer: at the end of the game u have 138762 points
Step-by-step explanation: new high score
Which graph represents points on the polar curve r = 2 + 5sin(θ)?
Answer:
Graph 2
Step-by-step explanation:
See image attached. Hope this helps.
The second graph shown the polar curve at r = 7.
Given ,
Equation of polar curve = r = 2 + 5sin(θ)
We have to find ,
Which of following graph show polar curve ,
At r = 2 + 5sin(θ)
The area between two curves in the polar coordinate system, first find the points of intersection, then subtract the corresponding areas.
First graph ; r = 2 + 5sin(θ)
Where ,
[tex]\theta = 0[/tex]
r = 2 + 5sin0
r = 2 + 5 (0)
r = 2
Second graph : r = 2 + 5sin(θ)
Where
[tex]\theta = \frac{\pi }{2}[/tex]
Then,
r = 2 + sin[tex]\frac{\pi }{2}[/tex]
r = 2 +5 ( 1 )
r = 2+5
r = 7
Third graph ; r = 2 + 5sin(θ)
where
[tex]\theta = \pi[/tex]
Then,
r = 2 + 5sin[tex]\pi[/tex]
r = 2 + 5(0)
r = 2
Fourth graph ; r = 2 + 5sin(θ)
Where
r = 2 + 5sin[tex]\frac{3\pi }{2}[/tex]
r = 2 + 5 (-1)
r = -3
Fifth graph ; r = 2 + 5sin(θ)
Where
[tex]\theta = 2\pi[/tex]
r = 2 + 5sin(2π)
r = 2+ 5 (0)
r = 2
Comparing all the value of the graph ,the second graph shown the polar curve at r = 7.
Hence, The second graph shown the polar curve at r = 7.
For more information about Polar curves click the link given below.
https://brainly.com/question/1094340
Find the median of 64,65,67,75,80,85,90,90
Answer:
75
Step-by-step explanation:
Median means the middle number in a sequence.
What is the simplified value of the expression below?
12.4 x (negative 6.3)
Answers are below this
–78.12
–1.97
1.97
78.12
Answer:
-78.12
Step-by-step explanation:
a 12.4x-6.3= -78.12
mark as brainlyliest
Answer:
-78.12
Step-by-step explanation:
Marcy needs to bake 80 cupcakes for a party. She has already baked 1/4 of the cupcakes needed. How many more cupcakes has she has to bake?
Answer:
60 cupcakes
Step-by-step explanation:
1/4 of 80 is 20
20+20+20+20=80
Reggie is deciding when to go bowling with his friends. Friday night is glow-bowling night, with 5 glow-bowling games for $22.50. But the early-bird special on Saturday morning offers 8 games for $30. How much more does glow-bowling cost per game?
TELL ME HOW U DO IT !
I WANT A WHOLE NUMBER OR A DEMSEL..
PLEASE AND THANK U !
Answer:
$ 0.75 per game
Step-by-step explanation:
Answer:
MAKE BRAINLIEST:
$0.75
Step-by-step explanation:
4 pts
Question 1
(04.01 MC)
The supervisor at an office randomly selected 45 employees and observed their work habits. She recorded the
number of items sold as well as the total time the employees spent at their desk. Classify the random variables
from the survey. (4 points)
Number of items sold, discrete; time spent at desk, discrete
Number of items sold, continuous; time spent at desk, continuous
Number of items sold, continuous; time spent at desk, discrete
Number of items sold, discrete; time spent at desk, continuous
O Unable to determine from information given
Answer:
Number of items sold, discrete; time spent at desk, continuous
Step-by-step explanation:
The random variables from the survey is number of items sold, discrete; time spent at desk, continuous
What is random selection ?A selection that is chosen randomly (purely by chance, with no predictability). Every member of the population being studied should have an equal chance of being selected.
According to the question
The supervisor at an office randomly selected 45 employees and observed their work habits.
She recorded
i > number of items sold
ii > total time the employees spent at their desk
As per observation
Number of items sold = discrete
as it is not possible to sell items in a continuous manner
But
time spent at desk = continuous
as every employee spend time at there desk
Hence, the random variables from the survey is number of items sold, discrete; time spent at desk, continuous
To know more about random selection here:
https://brainly.com/question/14728233
#SPJ2
The sequence below follows the Fibonacci rule.
Calculate the next term.
8, 13, 21, 34, 55 *
Answer:
89
Step-by-step explanation:
8, 13,
8+13= 21
13+21 =34
21+34=55
34+55=89