How do I solve this problem?<br><br> x-35

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $8 and eac

matrenka [14]

I think I know it just give me a sec

7 0

4 years ago

Read 2 more answers

The sum of two consecutive odd numbers is 76.Find the numbers.

devlian [24]

Answer:

The 2 numbers are 37 and 39

Step-by-step explanation:

Let the first number be x

The next number that is odd is 2 away from it ( 1 is odd, 3 is the next number that is odd )

x, x+2 are the two numbers

Add them together to get 76

x + x+2 = 76

Combine like terms

2x+2 = 76

Subtract 2 from each side

2x+2-2 = 76-2

2x = 74

Divide by 2

2x/2 = 74/2

x= 37

x+2 = 39

5 0

3 years ago

Set up but do not solve for the appropriate particular solution yp for the differential equation y′′+4y=5xcos(2x) using the Meth

taurus [48]

Answer:

So, solution of the differential equation is

$y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

Step-by-step explanation:

We have the given differential equation: y′′+4y=5xcos(2x)

We use the Method of Undetermined Coefficients.

We first solve the homogeneous differential equation y′′+4y=0.

$y''+4y=0\\\\r^2+4=0\\\\r=\pm2i\\\\$

It is a homogeneous solution:

$y_h(t)=c_1e^{-2i t}+c_2e^{2i t}$

Now, we finding a particular solution.

$y_p(t)=A5x\cos 2x\\\\y'_p(t)=A5\cos 2x-A10x\sin 2x\\\\y''_p(t)=-A20\sin 2x-A20x\cos 2x\\\\\\\implies y''+4y=5x\cos 2x\\\\-A20\sin 2x-A20x\cos 2x+4\cdot A5x\cos 2x=5x\cos 2x\\\\-A20\sin 2x=5x\cos 2x\\\\A=-\frac{x}{4} \cot 2x\\$

we get

$y_p(t)=A5\cos 2x\\\\y_p(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x\\\\\\y(t)=y_p(t)+y_h(t)\\\\y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

So, solution of the differential equation is

$y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

7 0

3 years ago

Find the correct classisication irratinal number rational number whole number intergers

elena-s [515]

Step-by-step explanation:

Real numbers include:

Rational numbers include

Fractions, Integers

Integers include

Negative Integers, Whole numbers

Whole numbers include

Zero, Natural number

Irrational numbers

6 0

3 years ago

Instead of building the enclosure of maximum area, the company wishes to build only a 20,000 square foot enclosure still using u

nignag [31]

Answer:

x = 80000/L f

Step-by-step explanation:

When using only three sides for fencing a rectangular area, sides will be

"x " and "y " x = 2*y x is the largest side of the rectangular area

we only fence one y side ( the other side is a river

So the perimeter is L = x + 2*y or L = 4*y

On the other hand if now the area will be 20000 f²

A = x*y = 20000 ⇒ y = 20000/ x

As the fence material is the same as that of the maximum area

L = 4*y L = 4* 20000 / x

L*x = 80000

Then x = 80000/L

Where L is the quantity of fencing material

5 0

3 years ago

How do I solve this problem? x-35 > 15 =