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9 days ago

A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t second

s after it is hit is given by the quadratic function h left parenthesis t right parenthesis equals negative 4.9t squared plus 14.7t plus 1h(t)=−4.9t2+14.7t+1.
How long does it take for the baseball to reach its maximum height? What is the maximum height obtained by the baseball?

Mathematics

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A 2.2 GB game is being downloaded onto your laptop. When you have downloaded half a gigabyte, you notice that your computer has

zzz [12365]

Answer:

$0.01m +\frac{1}{2} \geq 2.2$

Step-by-step explanation:

Let m denote the number of minutes required to download the entire game.

The computer downloads at a speed of 0.01 GB per minute, and since half a gigabyte has already been downloaded, we can express this as 0.01*m + 0.5 equaling 2.2, as the game's total size is 2.2 GB.

We will determine the minimum number of minutes necessary to completely download the game.

$0.01m +\frac{1}{2} \geq 2.2$

$0.01m +0.5\geq 2.2$

$0.01m \geq 2.2-0.5$

$0.01m \geq 1.7$

$m\geq \frac{1.5}{0.01}$

Thus, $0.01m +\frac{1}{2} \geq 2.2$ represents our sought inequality.

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2 months ago

Find the third degree polynomial function that has an output of 1,025 when x=5, and has zeros −20 and −4i.

Zina [12379]

Response:

I am uncertain.

Step-by-step clarification:

8 0

2 months ago

Read 2 more answers

Gus has a fish tank that holds 471047104710 inches^3 3 cubed of water. He is using a cylinder shaped bucket with a radius of 555

tester [12383]

Answer:

Gus must fill the cylindrical bucket three times to get it filled for the tank

Step-by-step explanation:

Extracting essential details from the query:-

*** A fish tank has a volume of 4710 inches^3

*** The tank owner utilizes a cylindrical bucket for filling the tank

*** The bucket has a radius of 5 inches and a height of 20 inches

*** We need to compute how many times Gus has to fill the bucket to fully fill the fish tank.

Since the container used for filling the tank is cylindrical, we will apply the formula for finding a cylinder's volume to derive the bucket's volume used for filling the tank.

Volume of a cylinder = π × r^2 × h. The radius of the cylindrical bucket is stated as 5 inches while the height is mentioned as 20 inches.

The bucket's volume is therefore calculated as 3.14 × 5^2 × 20 = 1570 inches^3

Next, it is given that the fish tank’s capacity is 4710 inches^3. To find out how many times the bucket can fill the tank, we must divide the tank's volume by the bucket's volume:

4710/1570 = 3 full buckets.

Thus, Gus has to fill the bucket three times for filling the fish tank completely without spillage.

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2 months ago

The probability of drawing two aces from a standard deck is 0.0059. We know this probability, but we don't know if the first car

Inessa [12570]

Answer:Option C is correct.

C. The events are independent because the first ace was replaced before drawing the second ace.

Step-by-step explanation:

It is given that the probability of drawing two aces from a standard deck is 0.0059

If the first card is drawn and replaced, it alters the probability. Performing draws with replacement makes each event independent of one another

The chance of getting an ace on the first draw is 4/52, and with the replacement, the probability remains 4/52 for the second draw

Therefore, if we consider the first and second draws as event A and event B respectively, these events are independent

C. The events are independent because the first ace was replaced before drawing the second ace.

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1 month ago