The solution of the partial differential equation 7.7.2 is given by
u(x,t) = t^2 sin(2πx) + c,u(0.3,1.5) = 1.96 + c, where c is an arbitrary constant.
Partial differential equations are mathematical equations used to describe how a function changes as its inputs change. The equation 7.7.2 is a linear second order partial differential equation in two independent variables. It has the form of a generalized wave equation, in which a wave propagates through a medium with varying physical properties.
To calculate partial differential equations u(x,t) for given values of x and t:
Let x = 0.3 and t = 1.5
Substituting these values into the equation, we get:
u(0.3,1.5) = (1.5)^2 sin(2π(0.3)) + c
= 2.25 sin(0.6π) + c
= 2.25(0.87) + c
= 1.96 + c
Therefore, u(0.3,1.5) = 1.96 + c, where c is an arbitrary constant.
Learn more about partial differential equations here:
https://brainly.com/question/14620493
#SPJ4
Karl wants to rent a bike for at most $55. He can rent a bike for $7 per hour plus a $9.50 flat fee. Any portion of an hour is charged as a full hour. What is the maximum number of hours Karl can rent the bike?
234 students in 9 different classrooms. What is the ratio of students to classrooms?
Answer:
26 students per classroom
Step-by-step explanation:
To solve this, the ratio 234 students:9 classrooms must be converted to:
s students:1 classroom
To convert the ratio, 9 was divided by 9 to get 1, and so you must also divide 234 by 9 to maintain the same ratio, which gives us the answer:
26 students: 1 classroom
Which inequality is equivalent to -m ≥ 15?
A. m ≥ 15
B. m ≥ -15
C. m ≤ -15
D. m ≤ 15
Answer:
b I think
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
To solve this equation, since m is negative you need to get rid of that negative by dividing each side by -1. this will leave m and make 15, -15. so the equation will be c, m is less than or equal to -15.
1. Carlos tiene un terreno de 30.000 m2, él
vende 3/5 del total del terreno y recibe por
la venta $27.000.000.000; en 1/3 del
terreno restante va a construir una piscina
que tiene de profundidad desde 1,2 metros
hasta 1,8 m en forma descendente; en el
resto del terreno va a construir una casa.
De la información, se puede decir que Carlos
vendió cada m2 por un valor de
A. $1.500.000
B. $1.800.000
C. $2.100.000
D. $2.400.000
PROCEDIMIENTO:
Answer:
d)şıtkı abi nasıl bilemesin
La opción correcta es A. Carlos vendió cada m2 a $1.500.000.
Dado que Carlos tiene un terreno de 30.000 m2, y vendió 3/5 del total del terreno y recibió por la venta $27.000.000.000; para determinar el valor en que Carlos vendió cada m2 se debe realizar el siguiente cálculo:
27.000.000.000 / (30.000 x 3/5) = X27.000.000.000 / 18.000 = X1.500.000 = XPor lo tanto, Carlos vendió cada m2 a $1.500.000.
Aprende más en https://brainly.com/question/9283173
In a supermarket, bottles of lemonade are on a buy one get one half price offer.
The normal price of lemonade is 76p.
How much would it cost to get exactly three bottles of lemonade using this offer?
Answer:
114p
Step-by-step explanation:
I did the math, I really hope it's correct
The cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .
What is expression ?Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
Normal price of bottle [tex]=76p[/tex]
And,
Offer is buy one get one half price.
So,
According to the question,
Normal price of one bottle [tex]=76p[/tex]
Half price of one bottle [tex]=\frac{76p}{2}=38p[/tex]
So,
Price of three bottles [tex]=76*2+38[/tex]
[tex]=190p[/tex]
So, Price of three bottles is [tex]190p[/tex] .
Hence, we can say that the cost to get exactly three bottles of lemonade using the offer will be [tex]190p[/tex] .
To know more about Expressions click here
https://brainly.com/question/14083225
#SPJ3
Which of the following angles is corresponding with <5
2
7
8
4
Answer:
<7
Step-by-step explanation:
<5 and <7 are cut by the same transversal, so that should be the answer!
Hope that helps!
Please help me !!!!!
Answer:
just don't answer that
Step-by-step explanation:
cause I don't know what is the answer
5x +1=4x +7
What is x
Answer:
Step-by-step explanation:
Find the measure of this angle in the triangle.
Answer:
the angle measures 85 degrees
3)
Find the area of a rhombus with diagonals of 10 inches and 7 inches.
1)
A)
35 in 2
B)
40 in 2
C)
45 in 2
D)
70 in 2
Answer:
35 in 2
Step-by-step explanation:
A, search it up. :)
the question is in the picture. it’s math.
Answer:
Step-by-step explanation:
1). (8x - 49)° = (5x + 23)°
8x - 49 = 5x + 23
3x = 72
x = 24
2). m∠VST + m∠SVU = 180°
(5(24) + 23)° + m∠SVU = 180°
m∠SVU = 180° - 143°
m∠SVU = 37°
m∠SVT = 37° - 20° = 17°
factor completely6x2+8x+2. Fill in the blanks using the correct sign: 2(3x+ )(x+ )
Answer:
2(3x+1)(x+1)
Step-by-step explanation:
First, we factor out the common term, which is 2.
2(3x²+4x+1)
Then, we factor the polynomial inside the parenthesis.
2(3x+1)(x+1)
Answer:
2(3x + 1)(x + 1)
Step-by-step explanation:
Given
6x² + 8x + 2 ← factor out 2 from each term
= 2(3x² + 4x + 1) ← factor the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × 1 = 3 and sum = 4
The factors are + 3 and + 1
Use these factors to split the x- term
3x² + 3x + x + 1 ( factor the first/second and third/fourth terms )
= 3x(x + 1) + 1(x + 1) ← factor out (x + 1) from each term
= (3x + 1)(x + 1) , then
3x² + 4x + 1 = (3x + 1)(x + 1)
and
6x² + 8x + 2 = 2(3x + 1)(x + 1) ← in factored form
PLEASE HELP Find the product of( -3-2i ) and it’s conjugate.
can you guys help me again lol-
Answer:
$93 per hour ?
125-405 = 280
280÷3= 93 per hour
i need help urgently lease :D
Answer:
y=4
-2y=8
y=8/2
xndnndndnd
HELPPPPPP
Keisha is working to complete her summer reading in one week so she can relax for the remainder of the summer. She read (2x2 + 5x – 3) pages on Monday, (5x – 3) pages on Tuesday, and (6x2+ 2) pages on Wednesday. How many pages did she read in three days?
Answer:
(8x² + 10x -4) pages
Step-by-step explanation:
2x² + 5x – 3 + 5x – 3 + 6x²+ 2
2x² +6x² +5x +5x -3-3+2
8x² + 10x -4
The graph below is the graph of a function.
True or False??
Answer:
mmmmmmmm I wanna say it's false. like almost positive
Plz Solve Will Mark Brainliest and No Stealing Points Or Will Report
Part 2
Answer:
Before we graph [tex]y = -\frac{1}{2}x,[/tex] we know that the slope, mx, could be read as [tex]\frac{rise}{run}[/tex]. To graph the the equation of the line, we begin at the point (0,0). From that point, because our rise is negative (-1), instead of moving upwards or vertically, we will move downards. Therefore, from point 0, we will vertically move downwards one time. Now, our point is on point -1 on the y-axis. Now, we have 2 as our run. From point -1, we move to the right two times. We land on point (2,-1). Because we need various points to graph this equation, we must continue on. In the end, the graph will look like the first graph given.
For the equation y = 2, the line will be plainly horizontal. Why? Because x has no value in the equation. The variable [tex]x[/tex] does not exist in this linear equation. Therefore, it will look like the second graph below. We graph this by plotting the point, (0,2), on the y-axis.
I need help with this question
Answer:
R=34
Step-by-step explanation:
As, pythoreon therom states = a2 + b2= c2
a= 16, 16^2 = 256
b= 30, 30^2 = 900
c2= 900+256
c2 = 1,156
c= 34
So, 16^2 + 30^2 = 34^2
The resale value of a certain car when purchased new is $20,000. The car is expected to lose 10% of its value each year.
Which graph shows the predicted value of the car over time?
HELPPPP I’M GIVING 18 points ASAP
The graph that shows the predicted value of the car over time is the
a. Red graph, 1
b. Blue graph, g
c. Green graph, h
d. Orange graph, k
This makes sense because it’s y-intercept is at
a. 10,000
b. 20,000
And it
a. Increases
b. Decreases
Answer:
The red graph. y intercept is at 20k and is decreasing
Question 4 20 pts The measure of an interior angle of a regular polygon is 120°. Find the number of sides.
Answer:
6
Step-by-step explanation:
180(n-2) / n = 120
180n - 360 / n = 120
180n - 120n = 360
60n = 360
n = 6
I NEED HELP WITH THIS ASAP!!!!
Lillian is in the business of manufacturing phones.
She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor.
Let CC represent the total cost, in dollars, of producing pp phones in a given day.
The table below has select values showing the linear relationship between pp and C.C.
Determine the fixed cost for rent and equipment.
P C
2 1200
4 1600
6 2000
Answer:
it's 4,1600
Step-by-step explanation:
I hope my answer can help you
Theo wants to use a cookie recipe
that makes 36 cookies, but he wants
to increase the number of cookies to
54. If the recipe calls for 2 cups
of sugar, how much sugar should
he use?
Answer:
1
1
3
cups
Explanation:
This is a ratio question. If we are comparing the ratios, we could say
24
36
=
x
2
where x = the amount of sugar to make 24 cookies.
We can multiply both sides by 2 to cancel the 2 on the right, making
24
(
2
)
36
=
x
.
Simplify this and we get
48
36
and eventually
4
3
or
1
1
3
.
Step-by-step explanation:
Juan cuts a piece of rope that is 16 meter long into 2 equal pieces.
What is the length of each shorter piece of rope?
Enter your answer as a fraction in simplest form by filling in the boxes
divide the product of d and 6 by 4
Answer:
d/24
Step-by-step explanation:
Donte ordered the plans shown to build a skateboard ramp. Each unit represents one foot. He wants to keep the same slope of the ramp and extend the base of the triangle three feet. How tall will the ramp be
Answer:
3 feet
Step-by-step explanation:
The slope of line shows the steepness of that line. It is the ratio of the change in vertical distance to the change in horizontal distance.
The slope of a line passing through points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is:
[tex]slope=\frac{change\ in\ y}{change\ in\ x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the diagram of the ramp, we can see that:
The ramp passes through the point (0,0) and (6, 2). Therefore the slope is:
[tex]slope=\frac{2-0}{6-0}=\frac{1}{3}[/tex]
The base is at 6 ft tall, if we extend the base by 3 units, the base would be 9 ft (6 + 3). The new height would be:
height = slope * base = (1/3) * 9 = 3 feet
If the base is extended by 3 feet, the tall would be 3 feet tall.
Solve for z.
2
39z+ 17z = 0
Answer:
Z = 0
Step-by-step explanation:
Z is 0 because there’s no other possible solutions
Find the value of each trigonometric ratio. Write your answer as a fraction in simplest form. (Example: If the answer is one-half, type 1/2.)
The value of each Trigonometric ratio in a right angle triangle given are; sin X = 4/5 and cos C = 40/41
How to express Trigonometric Ratios?From the attached image, we can see the triangles to find the trigonometric ratios.
Now, the formula for sin and cos in a right angle triangle is;
sin = opposite/hypotenuse
cos = adjacent/hypotenuse.
Thus;
1) sin X = 32/40 = 4/5
2) cos C = 40/41
Read more about Trigonometric Ratios at; https://brainly.com/question/13276558
#SPJ1
PLS HEL P ASAP NOT THAT HARD!! CONVERT TO ENTIRE RADICAL FORM
ven a chuparme el huevo
Four times a number is greater than 48
Answer:
12
Step-by-step explanation:
Answer:
4x>48
x>12ans.this is the correct answer