(3x-5)/4 is less than or equal to -1

How to solve for x?

Both functions are the solution to the given Laplace solution.

Given Laplace's equation: [tex]u_{x x}+u_{y y}=0[/tex]

(1) [tex]u=e^{-x} \cos y-e^{-y} \cos x[/tex]

Differentiate with respect to x as follows:

[tex]u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x[/tex]

Differentiate with respect to y as follows:

[tex]u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x[/tex]

Supplement the values in the given Laplace equation.

[tex]e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0[/tex]

The given function in this case is the solution to the given Laplace equation.

(2) [tex]u=\sin x \cosh y+\cos x \sinh y[/tex]

Differentiate with respect to x as follows:

[tex]u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y[/tex]

Differentiate with respect to y as follows:

[tex]u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y[/tex]

Substitute the values to obtain:

[tex]-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0[/tex]
The given function in this case is the solution to the given Laplace equation.

Therefore, both functions are the solution to the given Laplace solution.

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The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)

Answer:

you should use words that can help some people can,t under stand so this is what

a) the formula for r is r = (a/p - 1)/r

b) The interest rate for the principal is $1000, the time is 2 years and simple inters $1080 is 0.04

c) The formula for p is p = a/1+rt

Simple Interest:

Simple interest is the process of multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

the amount a of money in an account after simple interest has been earned is given by the formula

=> a = p + prt

where

p is the principal,

r is the annual interest rate in decimal form, and

t is the time in years.

Here we need to find the following:

a. solve the formula for r

b. the amount of money in an account after interest has been earned is $1080, the principal is $1000, and the time is 2 years. what is the annual interest rate?

c. solve the formula for p.

a) The formula for r is calculated by moving the other elements and hold on r.

Then, the given formula,

=> a = p + prt

=> a = p (1 + rt)

=> a/p = 1 + rt

=> a/p - 1 = rt

=> r = (a/p - 1)/r

b) The given values are

p = $1000

t = 2

a = $1080

Now apply the values on the formula r to find the value of it,

=> r = ([1080/1000] - 1)/2

=> r = (1.08 - 1) /2

=> r = 0.08/2

=> r = 0.04

c) The formula for p can be derived as follows:

=> a = p + prt

=> a = p(1+rt)

=> p = a/1+rt

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The measure of Angle ∠A is 93

The given parameters are

Angle ∠A = 2x + 19

Angle ∠B = 3x - 18

The angles are vertical angles

So, we have

Angle ∠A = Angle ∠B

This gives

3x - 18 =2x + 19

Collect the like terms

3x - 2x = 18 + 19

Evaluate the like terms

x= 37

Substitute x= 37 in Angle ∠A = 2x + 19

Angle ∠A = 2 x 37 + 19

Evaluate

Angle ∠A = 93

Hence, the measure of Angle ∠A is 93

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Answer:

1/2

Step-by-step explanation:

Answer:

48000

Step-by-step explanation:

260000*5%=13000

35000+13000=48000

The possible widths of the play area is  mathematically given as

This is further explained below.

Generally, the equation for perimeter  is  mathematically given as

P =2(l+w)

180 =2(l+w)

2(l+w) =180

[tex]l+w = \frac{180}{2}[/tex]

l+w =90

A =l \times w

1800 &=l *w

l *w =1800

l *w =1800

Substitute Eq. 3 in the Eq. 2:

l *w=1800

(90-w) *w=1800

90w-ww=1800

90w-w^2=1800

w^2-90 w+1800=0

Therefore

w^2-90 w+1800 =0

[tex]\left(w^2-30 w\right)+(-60 w+1800) =0[/tex]

w(w-30)-60(w-30) =0

(w-30)(w-60) =0

Thereofre

w =30

w=60

In conclusion, Because of this, the width of the rectangular play space is either thirty or sixty feet.

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Answer:

I think 1,000??

Answer:

your your question is wrong please make sure

The Absolute error of the engineer's estimate is 14 pounds and the percent error is 4.89 % .

Absolute Error is defined as the difference between The Actual value and the estimated value .

Percent Error is defined as the difference between The Actual value and the estimated value in comparison to actual value expressed in percent .

[tex]Percent Error=\frac{|Estimated Value-Actual value|}{Actual Value} *100[/tex]

Given that the Estimated value =300 pounds

Actual Value=286 pounds

Absolute Error=300-286=14 pounds

Percent Error=[tex]\frac{|300-286|}{286} *100[/tex]

=[tex]\frac{14}{286} *100=4.89[/tex]%

Therefore , The Absolute error of the engineer's estimate is 14 pounds and the percent error is 4.89 % .

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Answer:

53.7 degrees.

Step-by-step explanation:

Answer:  He can make 9 hamburgers.

Step-by-step explanation:

one  hamburger can be made by 1/3 of beef,

so according to ratio and proportions ,

1 beef can make 3  hamburgers,

hence 3 pound of beef can be used to make

=3*3

=9  hamburgers

hence,

He can make 9 hamburgers.

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Answer:1

Step-by-step explanation: firstly , divide 3 by 1\3  then 3÷1\3=1

Answer: x=-10

Step-by-step explanation:

LMN=LMF+FMN

125=x+48+x+97

125=2x+48+97

125=2x+145

2x=-20

x=-10

f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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Answer:

Step-by-step explanation:

According to the information, first pick with returning make the question easy, it means that fist pick and second pick are independent events, we want to calculate the probability of same number or same color so 'or' means the addition method in statistics, from above second card has same number or same color decide the probability, not the first picked card,

P = P(same number) + P(same color) = 1/3 + 1/3 = 2/3

Or you can draw a tree diagram

So S.P of the product is 10.4% .

We have been given C.P of a product is E950 and loss percentage is 6%,.

So the starting price is the the price for which something actually sells.

And the cost price represents the specific value that represents unit price purchased. This value is used as a key factor in determining profitability, and in some stock market theories it is used in establishing the value of stock holding.

A saving account has a rate of interest of 10 denoted by our which we can write equal to 0.1 in decimal form and we have to calculate the effective annual yield yield if the interest is calculated quarterly, that means we have the number of compounds per year denoted by M equal to four. The effective yield denoted by capital Y is given by the formula one plus are divided by M. Hold raised to the Power M -1. After putting in the values of R and M we get one plus 0.1 divided by four. Hold raised to the Power 4 -1, equal to one plus 0.25 raised to the power four minus one which is equal to 1.025 raised to the Power 4 -1. On simplifying this further, we get the value equal to 0.1038. Now this value is in the decimal form to convert it into percentage. We will multiply this value by 100. That means we have like 0.1038 multiplied by 100 Which gives us 10.38. And after rounding it off to one decimal place, we get the value 10.4%.

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The required image of kite QRST after a reflection over the line y= -x has shown in the attached graph.

point Q (3,10)

point R (-1,9)

point S (3,7)

point T (7,9)

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Reflection over the y = −x is defined as reflecting a point across they = −x,  the x-coordinate and y-coordinate change places, and t the line y = x is the coordinates (y, x). the line y = -x is the coordinates (-y, -x).

Here point Q (−7,5) reflected across the line y = -x will become (3,10).

Similarly

point R (-1,9)

point S (3,7)

point T (7,9)

Therefore, the required image of kite QRST after a reflection over the line y= -x has shown in the attached graph.

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We're given:

This means that the consecutive odd integers will be m + 2 and m + 4.

If we add all their ages, it will look like this:

[tex]m+(m+2)+(m+4)\\= m+m+2+m+4\\= 3m+2+4\\= 3m+6[/tex]

[tex]3m+6[/tex]

The slope-intercept form will be easier to write the equation of the line.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The equation of the line for the slope and intercept form is y = mx + c. Where m is the slope of the line and c is the y-intercept of the line.

Therefore, the slope-intercept form will be easier to write the equation of the line.

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Answer: -.5 OR -.1, -.2, -.3, -.4, -.5, -.6,-.7,-.8,-.9

Step-by-step explanation: The simple answer is -.5, it is right in the middle of 0 and -1. The answer number is everything in between.

hi

area of  circle is  π* radius²  

as radius is half diameter, and as diameter is  22 , so radius is  22 /2 = 11 cm

so area is  11²π    and  11² = 121 then   area is  121π

as it is say to use  3.14 for pi , then 121*3.14 =  379.94

but 379.94 is the area of the whole circle , and we only have half.  

so  :  379.94 / 2 = 189.97

area of  semi circle is  189.97

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

2 ( [tex]\frac{1}{3^2}[/tex] )

= 2 ( [tex]\frac{1}{9}[/tex] )

= 2 × [tex]\frac{1}{9}[/tex]

= [tex]\frac{2}{9}[/tex]

Coordinates of the point that partitions the line into the given ratio is; (1, 5)

If the ratio dividing a line segment represents a:b, then the formula to divide  the line segment is;

Coordinates = {(bx₁ + ax₂)/(a + b), (by₁ + ay₂)/(a + b)}

From our question, we have the ratio as;

1:2. Thus; a = 1 and b = 2

Our coordinate of CD is; C(-1,7) and D(5, 1)

Thus;

x₁ = -1

x₂ = 5

y₁ = 7

y₂ = 1

Coordinates of the point that partitions the line into the given ratio is;

Coordinate = {(2*-1 + 1*5)/(1 + 2), (2*7 + 1*1)/(1 + 2)}

Coordinate = (3/3, 15/3) = (1, 5)

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Answer:200

Step-by-step explanation:1,090

Answer:

=============================

Given AP:

We observe that:

Let the three terms be aₙ, aₙ₊₁, aₙ₊₂.

Use nth term formula:

The following two terms are:

Their sum is 111, set an equation and solve for n:

The three terms are 9th, 10th and 11th terms and they are:

Answer:

Step-by-step explanation:

Lets see here, this question is a bit confusing to understand, But Ill work at it for you ^^

So at that first line that says ones, you are going to want the middle lint horizontal on that vertical line to be labeled 5.

Slightly above that, more near to the top you are going to want to write 85.

On the second Line drawn you are going to want to label the middle horizontal line 4

Above that, near the top write 854

The rounded number of 8.546 Would Be 9, Because since the tens place is a 5, you round up a number.

for question 3. a

the answer would be   18.4 if you round to the tenths, or 18.39

This is because the number in the thousands place is a 6, and thats 5 or above so you round the hundreths up 1 to become 9, and 9 is 5 or above so the 3 would become a 4(only if rounding to the tenths!!)

For question 3. b

1 meter = 100 centimeters, so we would multiply 18.386 by 100

That would shift the decimal point to the right 2 places (if you don't want to have to do the multiplying, rule of thumb is one 0 shifts one place to the right, you shift however many places as there are zeroes)

This would give us 1838.6 centimeters.

And I cant read question 4(sorry)

Hope this helps!!

El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.

Tenemos un terreno rectangular con dimensiones y costo total conocido. El área de un rectángulo (A), en metros cuadrados, es igual al producto de su largura (l), en metros, y su anchura (a), en metros, cuya fórmula se presenta a continuación:

A = a · l

El precio del metro cuadrado se obtiene dividiendo el precio del terreno por su área:

A = (17.50 m) · (15.60 m)

A = 273 m²

c = C / A

c = 8736 / 273

c = $ 32 / m²

El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.

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Answer: 13.6 or 9.2

Step-by-step explanation:

Answer:

x=2/7

Step-by-step explanation:

The most important thing to note is that angle A and angle B are vertical angles. Vertical angles are always equal. So, you can set 4x+2=11x and solve.

To get x by itself, subtract 4x from both sides to get 2=7x. Then divide 7 from both sides which gets x equal to 2/7.

Answer:

5/6

Step-by-step explanation: