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2 years ago

There are 50 marbles in a bag. Students picked a marble, recorded its color, and put it back in.

Mathematics

1 answer:

VLD [36.1K]2 years ago

5 0

Answer:

It would be 1/4 or 25%

Step-by-step explanation:

done this before

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4 friends share 3 oranges equally

skad [1K]

Each will get 1.33 orange.

4 0

3 years ago

Read 2 more answers

Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.) (tan(x) −

never [62]

Answer:

$f(x,y)=ln secx+cosx siny+C$

Step-by-step explanation:

We are given that DE

$(tanx-sinx siny)dx+cosxcosydy=0$

We have to determine given DE is exact or not.

Compare it with Mdx+Ndy=0

$M=tanx-sinx siny$

$N=cosxcosy$

$\frac{\partial M}{\partial y}=$ $M_y=-sinxcosy$

$\frac{\partial N}{\partial x}=N_x=-sinxcosy$

Therefore, $M_y=N_x$

If DE is exact then $M_y=N_x$

Hence,it is exact.

$M=\frac{\partial f}{\partial x}=tanx-sinxsiny$

Integrate w.r.t x on both sides

$f(x,y)=\int(tanx-sinxsiny)dx$

$f(x,y)=lnsecx+cosxsiny+\phi(y)$ ...(1)

By using the formula

$\int tanxdx=lnsecx+C,\int sinxdx=-cosx+C$

Differentiate partially equation (1) w.r.t y

$\frac{\partial f}{\partial y}=cosxcosy+\phi'(y)$

By using the formula:

$\frac{d(sinx)}{dx}=cosx$

$N=\frac{\partial f}{\partial y}=cosxcosy=cosxcosy+\phi'(y)$

$\phi'(y)=cosxcosy-cosxcosy=0$

$\phi'(y)=0$

Integrate w.r.t y

$\phi(y)=C$

Substitute the value

$f(x,y)=ln secx+cosx siny+C$

7 0

3 years ago

peter buys 8.5 square feet of carpet. the carpet costs 10.20 per square foot. how much does peter pay for the carpet

sergejj [24]

To get the answer you multiply 8.5 times 10.20 which equals to 86.7

4 0

3 years ago

Fill in the blanks to complete the equation that describes the diagram.

IRISSAK [1]

Answer:

-4 + -6 = -10

Step-by-step explanation:

you just have to start at the negative four and count up to the number negative ten, then you think “how many spaces are there between four and ten? SIX. so you just take six and turn it negative, boom.

8 0

3 years ago

Read 2 more answers

4. Find the equation of the line that has a slope of 3 and goes through the point (3,4).

atroni [7]

equation= y-y¹=m(x-x¹)

= y-4= 3(x-3)

y-4= 3x-9

y= 3x-9+4

y=3x-5

7 0

3 years ago