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3 years ago

A ball is thrown from first base to second base and then from second base to home plate. How many feet has the ball been thrown?

Mathematics

1 answer:

RSB [31]3 years ago

8 0

Answer:

B. 90 + 90 √2

Step-by-step explanation:

From first base to the second base, it will travel 90 feet.

From the second base to the home plate, it will travel a longer distance. How much? Well, if you look at the layout of the field, you'll see that if you draw a line from second base to the home plate, you'll form two rectangular triangles, one with the 1st base, another one with the 3rd base.

The line from the 2nd base to home plate is the hypotenuse, which we can easily find by:

h²=90² + 90²

h = √(2 * 90²)

h = 90 √2

So, from second base to home plate, the ball has traveled 90 √2

Overall: 90 + 90 √2

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Question 17

Rufina [12.5K]

Answer:

698 fishes

Step-by-step explanation:

Generally, we can represent an exponential growth function as;

y = a•(1 + r)^t

originally, there were 3 fishes

The original value in this case means a = 3

After 6 weeks, there were 31

31 in this case is y

r is the increase percentage or rate

t is the time

So, we have it that;

31 = 3•(1 + r)^6

31/3 = (1 + r)^6

10.33 = (1 + r)^6

ln 10.33 = 6 ln (1 + r)

ln 10.33/6 = ln (1 + r)

e^0.3892 = (1 + r)

1 + r = 1.476

r = 1.476-1

r = 0.476 or 47.6%

So the growth percentage or rate is 47.6%

For 14 weeks, we simply have the value of t as 14;

So ;

y = 3•(1 + 0.476)^14

y = 3(1.476)^14

y = 698 fishes

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3 years ago

Un motor de 90 kW se utiliza para elevar una carga de 1 200 kg. ¿Cuál es la velocidad media durante el ascenso?

Llana [10]

Sheesh this lookin hard

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2 years ago

Question 7 of 18

Delicious77 [7]

The more appropriate measures of center and spread are:

A. Better measure of spread: the interquartile range (IQR)
B. Better measure of center: the median

<h3>Which measures are best for the given data?</h3>

The better measure of the middle would be the median because mean is affected by low and high values which are present in the given data set.

As mean is not being used, standard deviation should not be used for the same reason. This leaves us with the interquartile range which is best because it does not take outliers into account.

Find out more on the Interquartile Range at brainly.com/question/12568713.

#SPJ1

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2 years ago

Q3. Consider two identical pack of cards A and B. When one card from A is taken and shuffled with the card B, the first top card

vivado [14]

Answer:

0.02

Step-by-step explanation:

Pack A and B both consisted of 52 cards. When shuffled, 51 cards in A and 53 cards in deck B. It appears that the Top card of A left with only 51 possible cards to be taken from A (since we know the Queen hadn't moved).

The two possible cases are: probability of not taking King of Hearts (from A to B), and the other were we did.

Let K= the event of taking the King of Hearts from A to B and be $B_{K}$ the occasion being the top card of B.