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2 years ago

987 mm = _____cm I need the answer

Mathematics

2 answers:

Rzqust [24]2 years ago

8 0

Answer:

98.7 cm

Step-by-step explanation:

The length in centimeters will always be 1/10 of the length in millimeters.

ra1l [238]2 years ago

4 0

Answer:

98.7 Centimeters

Explanation:

1 Millimeter = 0.1 Centimeters

987 · 0.1 = 98.7

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Find the solution r(t)r(t) of the differential equation with the given initial condition: r′(t)=⟨sin9t,sin6t,9t⟩,r(0)=⟨4,6,3⟩

klemol [59]

$\mathbf r'(t)=\langle\sin9t,\sin6t,9t\rangle$

$\mathbf r(t)=\displaystyle\int\mathbf r'(t)\,\mathrm dt$

$\mathbf r(t)=\left\langle\displaystyle\int\sin9t\,\mathrm dt,\int\sin6t\,\mathrm dt,\int9t\,\mathrm dt\right\rangle$

$\displaystyle\int\sin9t\,\mathrm dt=\frac19\cos9t+C_1$

$\displaystyle\int\sin6t\,\mathrm dt=\frac16\cos6t+C_2$

$\displaystyle\int9t\,\mathrm dt=\frac92t^2+C_3$

With the initial condition $\mathbf r(0)=\langle4,6,3\rangle$ , we find

$\dfrac19\cos0+C_1=4\implies C_1=\dfrac{35}9$

$\dfrac16\cos0+C_2=6\implies C_2=\dfrac{35}6$

$\dfrac92\cdot0^2+C_3=3\implies C_3=3$

So the particular solution to the IVP is

$\mathbf r(t)=\left\langle\dfrac19\cos9t+\dfrac{35}9,\dfrac16\cos6t+\dfrac{35}6,\dfrac92t^2+3\right\rangle$

4 0

3 years ago

The sample data below shows the number of hours spent by five students over the weekend to prepare for Monday's Business Statist

Levart [38]

Answer:

8.5 hrs

Step-by-step explanation:

-A 75th percentile mathematically means that 75% of the time data points are below that value and 25% of the time are above that value.

-We plot the given our data {3 12 2 3 5} to determine the 75th percentile

#We can use $alcula.com$ to plot our boxplot.

-From the plot, we find our 75th percentile to be 8.5 hrs

Hence, 75% of the time the number of hours spent to prepare was less than 8.5hrs.

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Ccolor%7Bred%7D%7B%5Ctt%20%7BIn%20%5C%3A%20%20%CE%94%20%5C%3A%20%20ABC%2C%20%E2%88%A0B%3D90%

makkiz [27]

Use Pythagoras theorem

Hypotenuse²=Base²+ Height ²

H²=(8)²+(6)²

H²=64+36

H²= 910

H²=10√91 cm Solution

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2 years ago

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Let x △ y be defined by x △ y=x−5y. What is the value of 3 △ (−4)

TEA [102]

$x\Delta y=x-5y\\\\3\Delta(-4)\qquad\text{put the values x = 3 and y = -4 to the expression x - 5y}:\\\\3\Delta(-4)=3-5(-4)=3+20=23$

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3 years ago

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DedPeter [7]

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2 years ago