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2 years ago

I'm rounding number to the nearest hundredth like 6.271 is 6.371 right

1 answer:

7 0

No it will be 6.27 as the hundredth column is the second after the decimal place. To work out what to round it to look at the number after the hundredth column and if it is between 1 and 4, round down by just taking the number off like this, or if it is 5 to 9 round up the hundredth column by adding one to the number e.g. 5.578 would round up to 5.58.

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The water level of a certain body of water is changing at a rate of W(t)=3/4cos(4-t/2) inches per hour, where t represents hours

Leni [432]

Answer:

The answer is below

Step-by-step explanation:

a) The integral $\int\limits^{10}_{1 } {W(t)} \, dt$ means the total change in level of water in inches from 1 am to 10 am. That is the water level change measured in inches between 1 am and 10 am

b) 7 pm is represented as t = 19 hours, while midnight is represented as t = 24 hours, hence the water level change between 7 pm and midnight is:

$\int\limits^{24}_{19 } {W(t)} \, dt\\\\$

c) Using casio calculator to evaluate the integral gives:

$\int\limits^{24}_{19 } {W(t)} \, dt\\\\$ = 2.54 inches

D) The total daily change in water level = $\int\limits^{24}_{0 } {W(t)} \, dt\\\\$ = 0.35 inches

8 0

1 year ago

What kinetic energy has a 4kg shootput thrown with a velocity of 12m/s

Tamiku [17]

Answer:

288J

Step-by-step explanation:

recall the formula for kinetic energy

KE = (1/2) mv²

where m is the mass (= 4kg) and v is the velocity(=12 m/s)

hence

KE = (1/2) (4)(12)² = 288J

7 0

2 years ago

Read 2 more answers

2y + 12 = -3x solve pls i have more

frutty [35]

I believe that y=-1.5x-6 is the answer.

6 0

3 years ago

Read 2 more answers

How many 5-member chess teams can be chosen from 15 interested players? Consider only the members selected, not their board posi

ryzh [129]

Answer:

3003 number of 5-member chess teams can be chosen from 15 interested players.

Step-by-step explanation:

Given:

Number of the interested players = 15

To Find:

Number of 5-member chess teams that can be chosen = ?

Solution:

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the formula $nCr = \frac{n!}{r!(n - r)!}$

where

n represents the total number of items,

r represents the number of items being chosen at a time.

Now we have n = 15 and r = 5

Substituting the values,

$15C_5 = \frac{15!}{5!(15- 5)!}$

$15C_5 = \frac{15!}{5!(10)!}$

$15C_5 = \frac{15\times \times 14 \times 13 \times 12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 }{5 \times 4 \times 3 \times 2 \times 1(10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1)}$