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3 years ago

Simplify the expression to a single numerical value. 3x2^3 x 2x3^2.

Mathematics

1 answer:

matrenka [14]3 years ago

4 0

It’s wants 20 characters lol but the answer is b

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Bill must take an 8-question true/false quiz and has to guess on each problem. How many

MrMuchimi

Answer:40320

Step-by-step explanation:

8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320 and there are 8 questions total

6 0

3 years ago

A bike shop rents each of its mountain bikes for a one time $4.00 insurance charge plus $2.50 per hour create an equation that r

egoroff_w [7]

Answer:

$y=2.50x+4.00$

Step-by-step explanation:

Let

x -----> the number of hours

y ----> the total cost to rent a bike in dollars

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the unit rate of the linear equation

b is the y-intercept or the initial value

In this problem we have

The unit rate or slope is equal to

$m=\$2.50\ per\ hour$

The y-intercept (value of y when the value of x is equal to zero) is equal to

$b=\$4.00$ ----> (fee charge)

substitute the values

$y=2.50x+4.00$

5 0

3 years ago

Find a homogeneous linear differential equation with constant coefficients whose general solution is given by

frez [133]

Answer:

$y" + 2y' + 2y = 0$

Step-by-step explanation:

Given

$y=c_1e^{-x}cosx+c_2e^{-x}sinx$

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

$y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)$

Where

$\alpha = -1$ and $\beta = 1$

For a homogeneous linear differential equation, the repeated value m is given as:

$m = \alpha \± \beta i$

Substitute values for $\alpha$ and $\beta$

$m = -1 \± 1*i$

$m = -1 \± i$

Add 1 to both sides

$m +1= 1 -1 \± i$

$m +1= \± i$

Square both sides

$(m +1)^2= (\± i)^2$

$m^2 + m + m + 1 = i^2$

$m^2 + 2m + 1 = i^2$

In complex numbers:

$i^2 = -1$

So, the expression becomes:

$m^2 + 2m + 1 = -1$

Add 1 to both sides

$m^2 + 2m + 1 +1= -1+1$

$m^2 + 2m + 2= 0$

This corresponds to the homogeneous linear differential equation

$y" + 2y' + 2y = 0$

6 0

3 years ago

Find the value of x in similar polygons below

muminat

Answer:

Choice A

Step-by-step explanation:

When you have two shapes that are similar their sides are always proportional. So all we have to do is set up a proportion.

$\frac{18}{4.5}=\frac{x}{1.5}$

Now we cross multiply and solve

$27=4.5x\\x=6$

And that's it x equals 6 feet.

4 0

2 years ago

A salesperson earns a 10% commission on the selling price of each vehicle after a $2,000 dealership fee is deducted from that pr

Ipatiy [6.2K]

Answer:

Salesprice =$25000

Step-by-step explanation:

comission=$ 2300;10

salespreice=x:100

x=2300*100/10=$23000

dealership fee= $2000

salesprice= $25000

5 0

3 years ago