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Rzqust [24]
3 years ago
9

The following list gives the number of pets for each of 9 students.

Mathematics
1 answer:
german3 years ago
7 0

Answer:

2,2,2

Step-by-step explanation:

mode in my study is termed as highest occurrence

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Should it be facing left or right ?
riadik2000 [5.3K]

Answer:

Facing Right

Step-by-step explanation:

Given inequalities are:

4-x≤-1

Subtracting 4 from both sides

4-x-4≤-1-4

-x≤-5

Multiplying both sides with -1. Multiplying with a negative number changes the sign of the inequality

So,

x≥5

Second Inequality:

2+3x≥17

Subtracting 2 from both sides

2+3x-2≥17-2

3x≥15

Dividing both sides by 3

x≥5

Union of both solutions:

x≥5 ∩ x≥5

=> x≥5

Hence the solution will be facing right on the number line towards all numbers greater than or equals to 5 ..

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In the half-angle formula for sine and cosine, notice that a plus/minus sign appears in front of each radical (square root). Whether your answer is positive or negative depends on which quadrant the new angle (the half angle) is in

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Find the solution of the given initial value problem. ty' + 2y = sin t, y π 2 = 9, t > 0 y(t) =
Helen [10]

For the ODE

ty'+2y=\sin t

multiply both sides by <em>t</em> so that the left side can be condensed into the derivative of a product:

t^2y'+2ty=t\sin t

\implies(t^2y)'=t\sin t

Integrate both sides with respect to <em>t</em> :

t^2y=\displaystyle\int t\sin t\,\mathrm dt=\sin t-t\cos t+C

Divide both sides by t^2 to solve for <em>y</em> :

y(t)=\dfrac{\sin t}{t^2}-\dfrac{\cos t}t+\dfrac C{t^2}

Now use the initial condition to solve for <em>C</em> :

y\left(\dfrac\pi2\right)=9\implies9=\dfrac{\sin\frac\pi2}{\frac{\pi^2}4}-\dfrac{\cos\frac\pi2}{\frac\pi2}+\dfrac C{\frac{\pi^2}4}

\implies9=\dfrac4{\pi^2}(1+C)

\implies C=\dfrac{9\pi^2}4-1

So the particular solution to the IVP is

y(t)=\dfrac{\sin t}{t^2}-\dfrac{\cos t}t+\dfrac{\frac{9\pi^2}4-1}{t^2}

or

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