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2 years ago

In how many ways can 5 students sit around a table?

Mathematics

1 answer:

Elodia [21]2 years ago

4 0

Answer:

24 different ways

Step-by-step explanation:

I looked it up to figure this out and that is how I got that answer.

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6x+1/2y=3 into slope intercept form

12345 [234]

Y=-12x+6. I used the slope intercept form y=mx+b to solve.

5 0

2 years ago

Which of the following are trinomials

Goryan [66]

Answer:

B and F

Step-by-step explanation:

Trinomials are polynomials with 3 terms

A has only one term → monomial

B has 3 terms → trinomial

C has 2 terms → binomial

D has one term → monomial

E has 2 terms → binomial

F has 3 terms → trinomial

8 0

2 years ago

The largest ferry in the Puget Sound fleet can carry 2,500 passengers every hour.

tia_tia [17]

Answer:

a: $60.45

b: 20

Step-by-step explanation:

I did this on a test!

8 0

2 years ago

Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees

a_sh-v [17]

Answer:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

Step-by-step explanation:

Rewrite the equation as:

$\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)$

Isolating $\frac{dy}{dx}$

$\frac{dy}{dx} =tan(x)+tan(x)*y^{2}$

Factor:

$\frac{dy}{dx} =tan(x)*(1+y^{2} )$

Dividing both sides by $(1+y^{2} )$ and multiplying them by $dx$

$\frac{dy}{1+y^{2} } =tan(x)dx$

Integrate both sides:

$\int\ \frac{dy}{1+y^{2} } = \int\ tan(x) dx$

Evaluate the integrals:

$arctan(y)=-log(cos(x))+C_1$

Solving for y:

$y(x)=tan(-log(cos(x))+C_1)$

Evaluating the initial condition:

$y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)$

$\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1$

Converting 60 degrees to radians:

$60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}$

Replacing $C_1$ in the diferential equation solution:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

3 0

2 years ago

Choose the equation in slope-intercept form of a line with the following qualities:

earnstyle [38]

Answer:

C. y=-4x-10

Step-by-step explanation:

The equation for a line in slope-intercept form is:

y=mx + b

m: slope

b: y-intercept

x,y: x and y coordinate pair

So the answer would be...

y=-4x-10

5 0

1 year ago

Read 2 more answers