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Katarina [22]
3 years ago
12

Anyone help with these 2 question?

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0

Step-by-step explanation:

1.√2×(-2√9)×(-√2)

= -2×(-2×3)

=12 option a

2. √5×√15×√75

= √5×(√3√5)×(5√3)

= 5×3×5

=75 option b

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2 A marathon race is 42 195 m in length. The world record in 2016 was
Verizon [17]

Answer:

A. 7377 s

B. 5.72 m/s

C. 5.86 m/s

Step-by-step explanation:

A. Determination of the time in second.

Time (t) = 2 hours, 2 minutes and 57 seconds

We'll begin by converting 2 hours to seconds. This can be obtained as follow:

1 hour = 3600 s

Therefore,

2 hour = 2 hours × 3600 s / 1 hour

2 hours = 7200 s

Next, we shall convert 2 mins to seconds. This can be obtained as follow:

1 min = 60 s

Therefore,

2 mins = 2 mins × 60 s / 1 min

2 mins = 120 s

Finally, we shall determine the total time in second. This can be obtained as follow:

2 hours, 2 minutes and 57 seconds = 7200 s + 120 s + 57 s

= 7377 s

Therefore, the total time in second is 7377 s

B. Determination of the average speed.

Total distance = 42195 m

Total time = 7377 s

Average speed =?

Average speed = Total distance / total time

Average speed = 42195 / 7377

Average speed = 5.72 m/s

Therefore, the average speed is 5.72 m/s

C. Determination of the average speed.

We'll begin by converting 2 hours to seconds. This can be obtained as follow:

1 hour = 3600 s

Therefore,

2 hour = 2 hours × 3600 s / 1 hour

2 hours = 7200 s

Finally, we shall determine the average speed. This can be obtained as follow:

Total distance = 42195 m

Total time = 7200 s

Average speed =?

Average speed = Total distance / total time

Average speed = 42195 / 7200

Average speed = 5.86 m/s

Therefore, the average speed is 5.86 m/s.

7 0
3 years ago
John says the transformation rule (x, y) es002-1.jpg (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to
PtichkaEL [24]
John didn't check his work.

The appropriate transformation rule is (x -4, y-7).

_____
John's signs were in error.
3 0
3 years ago
Read 2 more answers
Suppose a shipment of 120 electronic components contains 3 defective components. to determine whether the shipment should be​ ac
Likurg_2 [28]

For this problem, the most accurate is to use combinations


Because the order in which it was selected in the components does not matter to us, we use combinations

Then the combinations are nC_r = \frac{ n! }{r! (n-r)!}

n represents the amount of things you can choose and choose r from them


You need the probability that the 3 selected components at least one are defective.

That is the same as:

(1 - probability that no component of the selection is defective).

The probability that none of the 3 selected components are defective is:

P = \frac{_{117}C_3}{_{120}C_3}


Where _{117}C_3 is the number of ways to select 3 non-defective components from 117 non-defective components and _{120}C_3 is the number of ways to select 3 components from 120.

_{117}C_3 = 260130

_{120}C_3 = 280840


So:

P = \frac{260130}{280840} = 0.927


Finally, the probability that at least one of the selected components is defective is:


P = 1-0.927 = 0.0737

  P = 7.4%

3 0
4 years ago
Lateral surface area of this gift box
azamat
I think it’s letter C
7 0
3 years ago
Please help answer this question
jasenka [17]

Answer:

9ms

Step-by-step explanation:

4 0
2 years ago
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