Answer:
1
Step-by-step explanation:
add 3 to 4
(1x7)= 7
Can someone help me answer these 3 questions? I’ll reward points + brainalist
Answer: I think a ,c, and d
Step-by-step explanation:
solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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12
Solve for x.
9
X+4
2x
will give brainliest
The solution for x is x = -2 + sqrt(17) and x = -2 - sqrt(17) will give the brainliest.
What is the quadratic equation?
A quadratic equation is a type of polynomial equation of degree 2, that can be written in the form of ax^2 + bx + c = 0 where x is the variable, a,b,c are constant and a is not equal to zero.
To solve for x in the equation 9/(x+4) = 2x, we can first clear the fractions by multiplying both sides of the equation by (x+4). This gives us:
9 = 2x*(x+4)
Then we can simplify the right side of the equation:
9 = 2x^2 + 8x
Next, we can move all the x terms to one side of the equation and all the constants to the other side:
2x^2 + 8x - 9 = 0
Now we can use the quadratic formula to solve for x:
x = (-b +/- sqrt(b^2 - 4ac)) / 2a
where a = 2, b = 8, and c = -9
So we have:
x = (-8 +/- sqrt(8^2 - 42-9)) / 2*2
x = (-8 +/- sqrt(64 + 72)) / 4
x = (-8 +/- sqrt(136)) / 4
x = (-8 +/- 4*sqrt(17)) / 4
x = (-2 +/- sqrt(17))
So the solutions for x are x = -2 + sqrt(17) and x = -2 - sqrt(17)
The solution for x is x = -2 + sqrt(17) and x = -2 - sqrt(17) will give the brainliest.
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Can someone help me............................
Answer:
a), and d)
Step-by-step explanation:
\((x^{2}) * (\sqrt{x}) = (x^{2}) * x^{1/2} = x\)
Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
A number y decreased. By 10
Answer:
y-10
Step-by-step explanation:
Convert to Standard Form y-2=3/4(x+8)
Answer:
3x - 4y + 32 = 0
Step-by-step explanation:
y-2 = 3/4 x + 6
- 3/4 x + y -2 - 6 = 0
-3/4 x + y - 8 = 0
3/4 x - y + 8 = 0
(3/4 x - y + 8) * 4 = 0
3x - 4y + 32 = 0
(2)/(7):0.6x=(4)/(21):0.25
Answer:
= 1.6
Unless you meant to clarify what in the equation you needed, but that is the answer to it.
Find the product.
0.18 × 4
It took 12 men 5 hours to build an airstrip. Working at the same rate, how many additional men could have been hired in order for the job to have taken 1 hour less?
A) Two
B) Three
C) Four
D) Six
Answer:
B
Step-by-step explanation:
hello the question is if it took 12 men 5 hours to build an age is working at the same rate how many additional men could have been hired in order for the job to have taken 1 hour less ok so we have to find that how many extra may be required to complete the job for a strip 1 hour less than five hours that is 4 hours ok bye have to complete the airstrip in 4 hours and they have to find that how many experiment we have to required for that we will assume that let extra number of number of extra man bhi X show the number of men when we are finishing in it in 4 hours would be 12 + X ok
would be the number of men now and time required would be equal to 1 hour less than 5 hours that is 4 hours ok no from the given data we can say that one cares if strip x 12 men and fibres ok so all vacancy job correct so vacancy job per man are would be 1 divided by 12 in 25 this is the job or the amount of a strip that is completed when
one man works for one hour ok so this is the amount of the job that is done for men power and we have we have this number of men that are not want working and the number of hours that their working for so for one job we will need for one job would be best job per man per hour into number of men into number of hour ok and we have 1 equal to number of Doberman per Rs 1 by 2 11 25 and number of men we have already know that 12 + 6 is the number of men that we will require 12 + X number
forces were less than 5 that is 44 4312 so it would give us 12 + X / 3515 1 to 15 of this site it would give us 12 + X equal to 15 which implies X is equals to 15 - 12 and X is equals to 3 significant required 3 more men to complete the job in Porus dancer is 3 which is given is be in the question make you
evaluate the expression 5 square minus (3 square+4)
Answer:
12
Step-by-step explanation:
We have 5 squared minus (3 squared plus 4). Convert this to mathematical expression:
- "5 squared" = 5²
- "minus" = -
- "3 squared" = 3²
- "plus 4" = + 4
Put it altogether:
5² - (3² + 4)
5² = 5 * 5 = 25 and 3² = 3 * 3 = 9, so:
25 - (9 + 4) = 25 - (13) = 12
The answer is thus 12.
~ an aesthetics lover
Answer:
12
Step-by-step explanation:
Math
Janet gets paid $24 per hour . She heard that this is 3/4 of what Adam is paid. How much is Adam paid per hour
Answer:
$32
Step-by-step explanation:
24/3= 8
8x4= 32
Adam gets paid $32 per hour
The amount Adam paid per hour is $32.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Janet:
Paid per hour = $24
Adam:
Paid per hour = $32
This means,
3/4 = $24
Multiply 4/3 on both sides.
1 = 4/3 x 24
1 = $32
Thus,
Adam paid $32 per hour.
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2) If 3/5 of students carry an iPhone, what fraction of students is this using 75 as the denominator
Answer: 45/75
Step-by-step explanation:
To get from 5 to 75, multiply by 15
So, now the numerator, 3x15 = 45
Therefore the answer is 45/75
The graph of the exponential function f(x)=3^x+3 is given with three points. Determine the following for the graph of f^-1(x).1. Graph f^-1(x)2. Find the domain of f^-1(x)3. Find the range of f^-1(x)4. Does f^-1(x) increase or decrease on its domain?5. The equation of the vertical asymptote for f^-1(x) is?
Let's begin by listing out the given information:
\(\begin{gathered} f\mleft(x\mright)=3^x+3\Rightarrow y=3^x+3 \\ Switch\text{ }the\text{ }variables\text{ x \& y in the equation, we have:} \\ x=3^y+3\Rightarrow x-3=3^y \\ x-3=3^y\Rightarrow3^y=x-3 \\ \text{Take the }ln\text{ }o\text{f both }sides\text{, we have:} \\ y=\frac{\ln{\left(x - 3 \right)}}{\ln{\left(3 \right)}} \\ y=f^{-1}\mleft(x\mright) \\ f^{-1}\mleft(x\mright)=\frac{\ln{(x-3)}}{\ln{(3)}} \\ \end{gathered}\)2.
The domain of a function is the set of input or argument values for which the function is real and defined. This is given by:
\(\begin{gathered} x-3;x>3 \\ \therefore x>3 \end{gathered}\)3.
The range of a function is the set of output values for which the function is defined. This is given by:
\(\begin{gathered} 3^x+3\colon-\infty\: 4.The range of f(x) is the domain of f^-1(x) since they are inverse of one another.
\(\begin{gathered} f\mleft(x\mright)=3^x+3 \\ x=0 \\ f(0)=3^0+3=1+3=4 \\ x=1 \\ f(1)=3^1+3=3+3=6 \\ x=2 \\ f(2)=3^2+3=9+3=12 \\ \end{gathered}\)Therefore, the domain of f^-1(x) increases
5.
The asymptote of a curve is a line such that the distance between the curve and the line approaches zero
\(\begin{gathered} \: \frac{\ln\left(x-3\right)}{\ln\left(3\right)}\colon\quad \mathrm{Vertical}\colon\: x=3 \\ \therefore x=3 \end{gathered}\)Determine the following ratio
Using relations in a right triangle, the secant of angle θ is given by:
D. 5/4.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:
h² = 9² + 12²
h = sqrt(9² + 12²)
h = 15.
The secant of an angle is 1 divided by the cosine, hence:
cos(θ) = 12/15 = 4/5.sec(θ) = 5/4.Which means that option D is correct.
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Find the surface area of the rectangular prism using the net
Answer:
170 in²
Step-by-step explanation:
Surface Area
⇒ (2 x Length x Height) + (2 x Width x Height) + (2 x Length x Width)
⇒ (2 x 6 x 5) + (2 x 5 x 5) + (2 x 6 x 5)
⇒ 60 + 50 + 60
⇒ 170 in²
TSA:-
2(LB+BH+LH)2(6×5+5×5+5×6)2(30+25+30)2(85)170in^2A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 90% salt. She wants to obtain 150 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?
The amount of solution A and B required are 60 and 90 ounces respectively.
Creating simultaneous equations for the problem:
Mass of solution A = a
Mass of solution B = b
a + b = 150 _____(1)
0.65a + 0.90b = 150×0.80
0.65a + 0.90b = 120 __(2)
From (1)
a = 150-b ____(3)
substitute (3) into (2)
0.65(150-b) + 0.90b = 120
97.5 - 0.65b + 0.90b = 120
0.25b = 120-97.5
0.25b = 22.5
b = 22.5/0.25
b = 90
a = 150 - b
a = 150 - 90
a = 60
Therefore , 60 ounces of solution A and 90 ounces of solution B is required.
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Latoya is building a fence around her garden. For every 3 feet of fencing, the cost is $21.
Complete the table below showing the length of the fence and the cost.
Length of fencing (feet)
1. Simplify 6.92º. (4 points) Od O 1 O 6.92
1
Simplifying:
\(6.92^0\text{ =1}\)Any number raised to the power of zero is equal to 1.
Because this comes as the result of one power's property, for instance taking any number and raising to the same power and then dividing it:
\(\begin{gathered} \frac{2^2}{2^2}=1=2^0 \\ \\ \frac{a^3}{a^3}=a^0=1 \end{gathered}\)Calling by "a" any number, we have that any number raised to the 0 as its exponent is the same as dividing 6.92 raised to any exponent over itself.
PLEASE ANSWER
Which equation has an a-value of 1, a b-value of - 3 , and a c-value of -5?
Answer:
Step-by-step explanation:
The standard form of a quadratic is
\(ax^2+bx+c\), so filling in those values we have
\(1x^2-3x-5\) or just
\(x^2-3x-5\) which is the first choice, just written out of standard form.
Identify the graph of the inequality 2(2x-1)+7< 13 or -2x+5-10.
From the resulting solution, the correct linear inequality graph is Graph C.
Solving inequality expressionGiven the inequality equation below:
2(2x-1)+7< 13 or -2x+5 ≤ -10.
Simplify the expression
2(2x-1)+7< 13
Expand
4x - 2 + 7 < 13
4x + 5 < 13
4x < 13 - 5
4x < 8
x < 2
For the inequality -2x+5 ≤ -10.
-2x+5 ≤ -10
-2x ≤ -15
x ≥ 7.5
Hence the solution to the given system of inequalities are x < 2 and x ≥ 7.5
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On a place-value chart, you use exactly 12 counters to represent one decimal number and exactly 15 counters to represent another decimal number.
When you add the two numbers, you get a number you can represent with only 9 counters.
When you subtract the two numbers, you need more than 9 counters for the result.
• What could your numbers be For adding it be
• Explain how you came up with your numbers and why they work.
The possible number represented by the 9 counter is 27
How to determine the possible number?The counters are given as:
12 counters and 15 counters
When added, we get a number that can be represented by 9 counters.
This means that:
12 + 15 = 9x
Evaluate the sum
27 = 9x
Divide by 9
x = 3
When subtracted, you need more than 9 counters.
This means that:
x = 15 - 12 = 3
So, we conclude that the number is a multiple of 3 and 9
In other words, the decimal number is a multiple of 9 (i.e. 27)
Hence, the possible number is 27
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(p^2n^1/2)^0
√ p^5n^4 equivalent to p^18n^6 √p?
The two expressions are not equivalent.
To simplify the expression (p^2n^1/2)^0 √ p^5n^4, we first need to understand the properties of exponents and radicals.
Recall that any number raised to the power of zero is equal to 1, so (p^2n^1/2)^0 = 1.
Next, we can simplify the radical term by multiplying the exponents inside and outside the radical:
√ p^5n^4 =
(p^5n^4)^(1/2)
= p^(5/2)n^(4/2)
= p^(5/2)n^2
Combining this result with the previous step, we have:
(p^2n^1/2)^0 √ p^5n^4
= 1 * p^(5/2)n^2
= p^(5/2)n^2
This is not equivalent to p^18n^6 √p. In fact, p^(5/2)n^2 cannot be simplified any further without additional information about the expression. ,
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Help please question in picture
Answer:
220
Step-by-step explanation:
Area of square=8*20=160
Area of triangle=(6*20)/2=60
160+60
Answer:
220 units²
I'm sure this is the answer!
Perform the indicated operation:
(4 + 2i) (1 + 5i)
-6 +22i
6-221
-14 + 18i
6+22i
Answer:
-235+84i
Step-by-step explanation:
I hope this is what you were looking for.
HELP DUE IN 10 MIN DONT SPAM OR YOU WILL BE REPORTED Gina needs to cut a board to use for a project. The board is 10 feet long. She first has to cut off board. She then cuts the remaining section of board into 3 equal pieces. 1 /1 2 feet from one end of the Whirh
Answer: The answer to this problem is:
3x + 1 1/2 = 10
Step-by-step explanation:
Answer:
3x + 1 1/2 = 10
Step-by-step explanation:
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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What does 6 inches represent?
Answer:
6 inches is 152.39999999999998 millimeters
Step-by-step explanation:
Select all of the solutions to this equation:
(x – 7)(x + 1)(x – 9) = 0
where should the graph of the line y=2x - 2 intersect the y axis
The graph of the line y = 2x - 2 intersects the y-axis at the point (0, -2).
Calculating where the graph intersects the y-axisGiven that we have the following equation
y = 2x - 2
The equation of a straight line in the standard form is y = mx + c, where m is the slope of the line, and c is the y-intercept. The y-intercept is the point at which the line intersects the y-axis.
The equation of the line is y = 2x - 2. To find where the line intersects the y-axis, we need to set x = 0 and solve for y.
So, when x = 0, we get:
y = 2(0) - 2
y = -2
Therefore, the line intersects the y-axis at the point (0, -2).
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