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pishuonlain [190]
3 years ago
12

Dory lives 2.5 miles from school. Jim lives 3.2 kilometers from school. Ely lives 2300 meters from school, and Chris lives 3000

yards from school. Which lists the students from closest to farthest from school? (1 mi = 1.61 km; 1 m = 1.09 yd; 1 km = 1000 m) *
Mathematics
1 answer:
Naddik [55]3 years ago
4 0

Step-by-step explanation:

olum herşey ingilizce normal mi bu ağaağagagâ

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Evaluate the integral. 3 2 t3i t t − 2 j t sin(πt)k dt
sveta [45]

∫(t = 2 to 3) t^3 dt

= (1/4)t^4 {for t = 2 to 3}

= 65/4.

----

∫(t = 2 to 3) t √(t - 2) dt

= ∫(u = 0 to 1) (u + 2) √u du, letting u = t - 2

= ∫(u = 0 to 1) (u^(3/2) + 2u^(1/2)) du

= [(2/5) u^(5/2) + (4/3) u^(3/2)] {for u = 0 to 1}

= 26/15.

----

For the k-entry, use integration by parts with

u = t, dv = sin(πt) dt

du = 1 dt, v = (-1/π) cos(πt).


So, ∫(t = 2 to 3) t sin(πt) dt

= (-1/π) t cos(πt) {for t = 2 to 3} - ∫(t = 2 to 3) (-1/π) cos(πt) dt

= (-1/π) (3 * -1 - 2 * 1) + [(1/π^2) sin(πt) {for t = 2 to 3}]

= 5/π + 0

= 5/π.

Therefore,

∫(t = 2 to 3) <t^3, t√(t - 2), t sin(πt)> dt = <65/4, 26/15, 5/π>.

3 0
3 years ago
A ship at position (1, 0) on a nautical chart (with north in the positive y direction) sights a rock at position (6, 5). What is
OLga [1]

Answer:

The vector joining the ship to the rock is t= 7 i + 5 j

The direction is 0.9505 radians east of north.

Step-by-step explanation:

The position vector of the ship:

r= 1 i + 0 j

The position vector of the ship:

s= 6 i + 5 j

The vector joining the ship to the rock is:

t = r + s

t = (1 i + 0 j) + (6 i + 5 j)

t = 7 i + 5 j

The bearing of the rock to the ship is:

Θ= \frac{ \pi}{2} - arctan (\frac{5}{7})= 0.9505 radians

4 0
3 years ago
Please please please help asap
antoniya [11.8K]

Answer:

1,3,5

Step-by-step explanation:

81 is a perfect square so it can be written as an integer

11.8 is rational because it can be written as a fraction (107/9)

sqrt(6) isn't a perfect square so it is irrational

3/7 is a fraction so it is rational

8.57 is a terminating decimal so it is rational

7 0
2 years ago
Suppose the correlation between height and weight for adults is 0.80. What proportion (or percent) of the variability in weight
gulaghasi [49]

Answer: 64% of the variability in weight can be explained by the relationship with height.

Step-by-step explanation:

  • In statistics, Correlation coefficient is denoted by 'r' is a measure of the strength of the relationship between two variables.
  • Coefficient of determination, r^2, is a measure of variability in one variable can be explained variation in the other.

Here, r= 0.80

\Rightarrow\ r^2= (0.80)^2=0.64

That means 64% of the variability in weight can be explained by the relationship with height.

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3 years ago
2/3 divided by 5 I Need answers
Aleonysh [2.5K]

Answer:

Step-by-step explanation:

7.5

4 0
3 years ago
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