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asambeis [7]
2 years ago
9

You are responsible to provide tennis balls for a tournament. You know that a ball bounces like new when it is dropped and it bo

unces 82% of the previous height. Because of budget restriction for the tournament you need to test some used balls to make sure they bounce like new tennis balls. You drop a ball and it bounces multiple times; each bounce reaches 82% the height of the previous height. a. Is this sequence geometric or arithmetic
Mathematics
1 answer:
nalin [4]2 years ago
3 0

Answer:

arithmetic

Step-by-step explanation:

because it bounced double

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From a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper. T
levacccp [35]

Answer:

Max vol = 2 cubic metres

Step-by-step explanation:

Given that from a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper.

Side of the square = 3m

If squares are to be cut from the corners of the cardboard we have the dimensions of the box as

3-2x, 3-2x and x.

Hence x can never be greater than or equal to 1.5

V(x) = Volume = V(x) = x(3-2x)^2\\= 9x+4x^3-12x^2

We use derivative test to find the maxima

V'(x) = 9+12x^2-24x\\V"(x) = 24x-24\\

Equate I derivative to 0

9+12x^2-24x=0\\x=1/2,3/2

If x= 3/2 box will have 0 volume

So this is ignored

V"(1/2) <0

So maximum when x =1/2

Maximum volume

=9(1/2)+4(1/2)^3-12(1/2)^2\\=2 cubic metres

6 0
3 years ago
Can someone help me please I’ve been trying the last hour to figure this out
Irina-Kira [14]

Answer:

It is the third one down.

Step-by-step explanation:

The two smaller angles would be the same measurement because the angle bisector cuts the big angle down the middle.    So, if the big angle was 90°, the two smaller angels would be 45°.  

8 0
1 year ago
Read 2 more answers
What’s the answer I need to do it
Anastasy [175]

Answer:

m = -1/2

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

8 0
3 years ago
A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s average speed in miles per hour? Show your work.
alexdok [17]

Answer:

about 70.0 mph

Step-by-step explanation:

speed = distance/time

(300 ft)/(2.92 s)·(1 mi)/(5280 ft)·(3600 s)/(1 h) = (300·3600/(2.92·5280)) mi/h

≈ 70.0498 mi/h

8 0
3 years ago
14 friends go out for dinner and the bill for food and drink comes to £130. The friends decided to add a 5% tip on the top of th
Hitman42 [59]

The amount each friend does pay is £9.75

<h3>How to calculate the pay of each friend using fractions and arithmetic operations?</h3>

We are going to find 5% of the total amount paid and divide it by the numbers of all the friends to determine the amount paid by each one of them.

From the given information:

  • The 5% of 130 = £6.5
  • Total amount paid = £130 + £6.5 = £136.5

Therefore, the cost of each friend is = \dfrac{136.5}{14}

The cost of each friend = £9.75


Learn more about fractions here:

brainly.com/question/78672

#SPJ1

4 0
2 years ago
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