All categories

3 years ago

Gary wrote the comparison below.

Mathematics

2 answers:

scoray [572]3 years ago

5 0

Answer:

what box?

Step-by-step explanation:

Inga [223]3 years ago

4 0

If the box is between 5 and 7 then you multiply 16 by 5 which is 80. then multiply 7 by 16 which is 112. since 80 is smaller than 112, the symbol is < so the answer is: 80<112 or 16x5 < 7x16

You might be interested in

Solve the initial value problems.

slavikrds [6]

Both equations are linear, so I'll use the integrating factor method.

The first ODE

$xy' + (x+1)y = 0 \implies y' + \dfrac{x+1}x y = 0$

has integrating factor

$\exp\left(\displaystyle \int\frac{x+1}x \, dx\right) =\exp\left(x+\ln(x)\right) = xe^x$

In the original equation, multiply both sides by eˣ :

$xe^x y' + (x+1) e^x y = 0$

Observe that

d/dx [xeˣ] = eˣ + xeˣ = (x + 1) eˣ

so that the left side is the derivative of a product, namely

$\left(xe^xy\right)' = 0$

Integrate both sides with respect to x :

$\displaystyle \int \left(xe^xy\right)' \, dx = \int 0 \, dx$

$xe^xy = C$

Solve for y :

$y = \dfrac{C}{xe^x}$

Use the given initial condition to solve for C. When x = 1, y = 2, so

$2 = \dfrac{C}{1\cdot e^1} \implies C = 2e$

Then the particular solution is

$\boxed{y = \dfrac{2e}{xe^x} = \dfrac{2e^{1-x}}x}$

The second ODE

$(1+x^2)y' - 2xy = 0 \implies y' - \dfrac{2x}{1+x^2} y = 0$

has integrating factor

$\exp\left(\displaystyle \int -\frac{2x}{1+x^2} \, dx\right) = \exp\left(-\ln(1+x^2)\right) = \dfrac1{1+x^2}$

Multiply both sides of the equation by 1/(1 + x²) :

$\dfrac1{1+x^2} y' - \dfrac{2x}{(1+x^2)^2} y = 0$

and observe that

d/dx[1/(1 + x²)] = -2x/(1 + x²)²

Then

$\left(\dfrac1{1+x^2}y\right)' = 0$

$\dfrac1{1+x^2}y = C$

$y = C(1 + x^2)$

When x = 0, y = 3, so

$3 = C(1+0^2) \implies C=3$

$\implies \boxed{y = 3(1 + x^2) = 3 + 3x^2}$

7 0

2 years ago

Convert (CAB) 16 to decimal<br><br>need help asap

Mrrafil [7]

Remark

So CAB is a base 16 number? I hope that's correct. I'll treat it that way. If I am incorrect, please leave a note and I'll modify my answer accordingly.

Expand

A = 10 in decimal

B = 11 in decimal

C = 12 in decimal

B is the "units" value in decimal it is 11

A is the "tens" value or 12 place and in decimal you would get 12 * 10 = 120

C is the "hundreds" value or 12^2 place and in decimal you would get 144*12 =1728

Now you need to all all three results together. 11 + 120 + 1728 = 1850

Answer

(CAB)_16 = 1850 in decimal

6 0

4 years ago

Read 2 more answers

Work algebraically and you must show equation used and the work used to get your answers.

postnew [5]

Well, it is $\frac{-2}{25}$ . That is, the equation is $y=\frac{-2}{25}x+30$ . The run could be found when y=0, so $\frac{-2}{25}+30=0$ or $30=\frac{2}{25}x$ or $750=2x$ or $x=375$ . 375 inches. 30 feet means 360 inches, as far as I remember (in my country only metric systems are being used :) ) so it doesn't really work -- the ramp is just a bit too long.

4 0

4 years ago

Read 2 more answers

Math help! asap !! 20 + points and brainlest! ( all problems pls )

kvv77 [185]

1)
Lateral area is the surface area, minus the bases. The area of a square is base times height. The lateral area is 112 centimeters squared, and the surface area is 336 centimeters squared.
2)
The bases of prisms are the triangles. The lateral area of the prism is 695 meters squared. The area of a triangle is base times height divided by 2. The surface area of the prism is 727 meters squared.
3)
The area of a circle is pir^2. The surface area of the cylinder is 1,230 inches cubed.
4)
The area of the pyramid is 790.
5)
The answer to number 5 is 2,254.
6)
The last answer is 21.7 centimeters. but I'm not like 100% sure.

5 0

3 years ago

Solve by the addition method. (If the solution is inconsistent, enter INCONSISTENT. If the equations are dependent, give the ans

Airida [17]

Answer:

consistent and dependent: x: -4 +2y

Step-by-step explanation:

x – 2y = −4

–2x + 4y = 8

Multiply the first equation by 2

2(x – 2y = −4 )

2x -4y = -8

Add this to the second equation

2x – 4y = −8

–2x + 4y = 8

----------------------

0 = 0

This is always true

There are infinite solutions. They equations are consistent and dependent

x= -4+2y

5 0

3 years ago