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Taya2010 [7]
2 years ago
7

A swimmer speeds up 1.9 m/s to 3.8 m/s during the last 11.0 seconds of the race. What is the acceleration of the swimmer?

Mathematics
1 answer:
Naddika [18.5K]2 years ago
8 0

<h2>Given :-</h2>

Initial speed (v) = 1.9m/s

Final speed (u) = 3.8m/s

Time (t) = 11 s

<h2>Formula Used :-</h2>

v = u + a×t(a = acceleration)

➾ a = {\frac{u-v}{t}}

<h2>Solution:-</h2>

a = {\frac{u-v}{t}} (putting the value of v, u and t from above)

➾ a = {\frac{3.8-1.9}{11}}

➾ a = {\frac{1.9}{11}}

➾ a = 0.17 m/s (approx.)

Therefore, the acceleration rate = 0.17m/s.

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Answer:

48 km/h

Step-by-step explanation:

80/50*30=48 km/h

3 0
3 years ago
Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, highpitched, oscillating no
garik1379 [7]

Answer:

0.121

Step-by-step explanation:

From the given information:

Let X be a hypergeometric random variable. i.e X \sim h (x;:6,7,12)

To determine the mean and the standard deviation of X of a hypergeometric random variable; we have:

\mu_x = E(X)

\mu_x = 6 \times \dfrac{7}{12}

\mu_x =1 \times \dfrac{7}{2}

\mu_x =3.5

The standard deviation is :

\sigma _x = \sqrt{(\dfrac{12-6}{12-1}) \times 6 \times (\dfrac{7}{12})\times (1-\dfrac{7}{12})}

\sigma _x = \sqrt{(\dfrac{6}{11}) \times 6 \times (\dfrac{7}{12})\times (\dfrac{5}{12})}

\sigma _x = \sqrt{\dfrac{35}{44}}

\sigma _x = 0.892

However, the inequality for the event showcasing how X exceeds its mean value by more than 1 standard deviation is :

X \geq \mu_x +\sigma_x

X \geq 3.5 +0.892

X \geq 4.392

X \geq 5

∴

P(X \geq \mu_x + \sigma_x ) = P(X \geq 5)

P(X \geq \mu_x + \sigma_x ) = 0.121

7 0
3 years ago
two barrels contain equal quantities of honey from one barrel 37 gallons of Honey or drone from the other Barrel 7 gallons of Ho
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308 gallons 37 plus 7 times7
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3 years ago
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Step-by-step explanation:

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5 0
3 years ago
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Question 1(Multiple Choice Worth 4 points) (08.06) What are the factors of x2 − 64? Prime
Bond [772]

Question 2:

What are the factors of x² − 64?

let us first find square root of 64, which is 8

so writing x² − 64 as x² − 8²

Now we use the identity

a²-b² = (a+b)(a-b)

x²-8² = (x+8)(x-8)

So answer is option C. (x+8)(x-8)

Question 2:

Identify the factors of 4x² + 20x + 25.

Using AC method , we first multiply 4*25 =100

finding factors of 100 that add up to give 20 we have 10 and 10.

4x² + 10x+10x + 25

factoring by grouping we have,

(2x+5)(2x+5)

Option C is correct.

Question 3:

Determine the factors of 5x² + 29x − 6.

Using AC method, multiplying 5(-6) = -30, finding two factors of -30 that add up to give 29 are 30 and -1.

5x² + 30x-x − 6

factoring by grouping we get

(x+6)(5x-1)

option 1) is correct.

Question 4:

A polynomial function can be written as (x − 1)(x − 4)(x + 7). What are the x-intercepts of the graph of this function?

equating each product equal to zero,

(x-1) =0 , x=1

(x-4)=0, x=4

x+7=0, x=-7

so zeros are (1,0) , (4,0) and (-7,0).

Option C is correct.


8 0
3 years ago
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