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bazaltina [42]
2 years ago
7

There is a lock with 5 buttons numbered from 1 to 5. The combination that opens this lock can be set to any sequence of buttons

with the length between 1 and √43, inclusive. The order in which the buttons are pressed does not matter. How many ways can the lock combination be set?
Mathematics
1 answer:
Fittoniya [83]2 years ago
7 0

Answer:

Answer Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis explanation the given figure has vertices p(1,2),q(2,1),r(3,2),s(3,3)recall that for counterclockwise rotation about the origin, (x,y)\rightarrow (-x,-y)when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)

Step-by-step explanation:

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The table below shows the preferences of high school and college students:
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B. looks like the way to go.

5 0
3 years ago
if buyer purchases 25% of a lot in the spring and then purchases 50% more in the fall what percentage of the lot is still availa
brilliants [131]

Answer:

25%

Step-by-step explanation:

Total purchase = 25%+50%

Total purchase = 75%

Percentage left = 100% - 75%

Percentage left = 25%

8 0
2 years ago
What is the sum of the geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 2) (negative 3) Sup
belka [17]

Answer:

Step-by-step explanation:

∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹

This is a finite geometric series with n = 4, a₁ = -144, and r = ½.

S = a₁ (1 − rⁿ) / (1 − r)

S = -144 (1 − (½)⁴) / (1 − ½)

S = -270

If you wanted to find the infinite sum (n = ∞):

S = a₁ / (1 − r)

S = -144 / (1 − ½)

S = -288

Read more on Brainly.com - brainly.com/question/14504382#readmore

8 0
3 years ago
Read 2 more answers
George drew a picture of a helmet, as shown below.
gulaghasi [49]

answer

c

Step-by-step explanation:

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8 0
3 years ago
Ms.Wooldridge walks laps around her pool for exercise each day. She walks at a constant rate of 30 seconds per lap. It takes her
nasty-shy [4]

Answer: it will take her 58 minutes to walk one mile.

Step-by-step explanation:

She walks at a constant rate of 30 seconds per lap and it takes her 46 steps to walk one full lap. It means that she walks 46 steps in 30 seconds.

If each step is approximately 1 foot, it means that the number of feet that she walks in 30 seconds is 46 feet.

1 foot = 0.000189 miles

Therefore, 46 feet would be

46 × 0.00189 = 0.008694 miles

Therefore, if she she walks 0.008694 miles in 30 seconds,

The time it will take her to walk 1 mile would be

30/0.008694 = 3450.66 seconds

Converting to minutes, it becomes

3450.66/60 = 58 minutes

7 0
2 years ago
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