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3 years ago

Does that look right

Mathematics

2 answers:

Tju [1.3M]3 years ago

7 0

looks right to me! :)

Vlad [161]3 years ago

4 0

Yup! looks correct!! hope you have a nice day/night

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A cafe menu has 3 entree’s, 5 main courses and 2 deserts. If choosing three-course meal consisting of an entree, a main course a

klasskru [66]

Answer: can choose 1 of 3 entrees, 1 of 5 main courses and 1 of 2 desserts.

Step-by-step explanation:

She can choose entrees in 3 ways, the main course in 5 ways and dessert in 2 ways.

Now we just need to multiply these numbers so that we get all the possible combinations.

# of ways = 3 x 5 x 2 = 30

She can choose a three-course meal in 30 ways

I hope you found my Answer helpful

5 0

3 years ago

Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y

koban [17]

$\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}$

Substituting this into the other ODE gives

$-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0$

Since $x(t)=-\dfrac14y'(t)$ , it follows that $x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16$ . The ODE in $y$ has characteristic equation

$r^2-16=0$

with roots $r=\pm4$ , admitting the characteristic solution

$y_c=C_1e^{4t}+C_2e^{-4t}$

From the initial conditions we get

$y(0)=5\implies 5=C_1+C_2$

$y'(0)=16\implies-16=4C_1-4C_2$

$\implies C_1=\dfrac12,C_2=\dfrac92$

So we have

$\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}$

Take the derivative and multiply it by -1/4 to get the solution for $x(t)$ :

$-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}$

7 0

4 years ago

Calculate the area of each parallelogram in square centimeters I’m in a question it’s a shape where your supposed to count to 5

kow [346]

Answer:

5 1/2

Step-by-step explanation:

8 0

3 years ago

True or false? ( help me please and thank you)

Dmitriy789 [7]

Answer:

False

Step-by-step explanation:

Well it's True in a way, but they didn't simplify all the way. Correct simplification would be 1/3

4 0

3 years ago

Read 2 more answers

Each of the 4 family members uses 175 or fewer minutes of their combined family cell phone plan. At the end of the month, the fa

miskamm [114]

Answer:

The family might share maximum of 700 mins each month.

Step-by-step explanation:

Given:

Total number of minutes used by each member = 175

Number of members in family = 4

We need to find the number of minute family will share each month.

Solution:

Let the number of minute family will share each month be 'x'.

So we know that;

Total number of minute family will share each month should be less than or equal to Total number of minutes used by each member multiplied by Number of members in family

framing in equation form we get;

$x\leq 175\times4\\\\x\leq 700 \ mins$

Hence The family might share maximum of 700 mins each month.

5 0

4 years ago