The height h, in feet, of a ball that is released 4 feet above the ground with an initial velocity of 80 feet per second is a function of the time t, in seconds, the ball is in the air and is given byh(t)=-16t^2+80t+4, 0 < t < 5.04

a. Find the height of the ball above the ground 2 seconds after it is released.

b. Find the height of the ball above the ground 4 seconds after it is released.

Please show work!

Answers

Answer 1
Answer:

Answer with Step-by-step explanation:

The height of the ball from the ground as a function of time is given by

h(t)=-16t^2+80t+4

The height of the ball at any instant of time can be found by putting the value of time 't' in the above relation as

Part a)

Height of ball after 2 seconds it is released is

h(2)=-16* 2^2+80* 2+4=100feet

Part b)

Height of ball after 4 seconds it is released is

h(4)=-16* 4^2+80* 4+4=68feet

Answer 2
Answer:

Answer:

Part a)

Height of ball after 2 seconds it is released is

h(2)=-16\times 2^2+80\times 2+4=100feet

Part b)

Height of ball after 4 seconds it is released is

h(4)=-16\times 4^2+80\times 4+4=68feet

Step-by-step explanation:


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Researchers are investigating the effect of pH level in water on the breeding habits of the moon jellyfish. As part of a laboratory experiment, they will randomly assign one of three treatments, low pH, medium pH, or high pH, to the water in the tanks that hold the jellyfish.Which of the following is the best reason for the random assignment of a treatment level to an experimental unit?

Answers

Answer:

A. Randomization tends to minimize the effects of uncontrolled variables, such as water temperature, so that such factors are not confounded with the treatment effects.

Step-by-step explanation:

---Researchers are investigating the effect of pH level in water on the breeding habits of the moon jellyfish. As part of a laboratory experiment, they will randomly assign one of three treatments, low pH, medium pH, or high pH, to the water in the tanks that hold the jellyfish.

Which of the following is the best reason for the random assignment of a treatment level to an experimental unit?

A. Randomization tends to minimize the effects of uncontrolled variables, such as water temperature, so that such factors are not confounded with the treatment effects.

B. Randomization will make up for improper experimental design, data collection, and analysis.

C. Randomization makes the analysis easier since the data can be entered into the computer in any order.

D. Randomization is required by statistical consultants before they will analyze the experiment.

E. Randomization means that the experiment would not need to be replicated---

Randomization is used to ensure that the results of a trial or an experiment are actually because if the treatment or hypothesis we are trying, instead of any other external factor that we can not control, or because it just always happens that way, if all of the jellyfish are affected or not in the same way, then the Ph had little to nothing to do with it, and if only one group of them is affected we can re-try the experiment to see if the difference in the Ph had anything to do with the change.

Answer:

A.Randomization tends to minimize the effects of uncontrolled variables, such as water temperature, so that such factors are not confounded with the treatment effects.

Step-by-step explanation:

Solve the equation x/4 - 7 = y for x

Answers

Answer:

x = 4y + 28

Step-by-step explanation:

x/4 - 7 = y

+7              +7

x/4 = y + 7

× 4             × 4

x = 4y + 28

Answer:

x = 4y + 28

Step-by-step explanation:

For this, you would need to simplify both sides of the equation, after isolating the variable.


If you pick a card at random from a standard 52-card deck, what is the probability that it is either red or a 7?

Answers

The probability that the card you pick from a standard 52-card deck is 7/13

Let's first solve how many cards out of the 52 are red. 
Since half the deck is red and the other half is black, 1/2 of 52 is 26 cards. 

Next, let's solve how many cards you can choose with seven on it. 
Since there are four of each kind of card in a standard deck of cards, there are four sevens. However, we already counted the two red sevens when we solved how many red cards there are. So 4-2 = 2 cards. 

26 + 2 = 28 cards
28/52 = 7/13.

Which expression shows the prime factorization of 40? 2 × 2 × 5 2 × 2 × 2 × 5 2 × 5 × 5 2 × 5 × 5 × 5

Answers

Answer:

2 × 2 × 2 × 5

Step-by-step explanation:

2 × 2 =4×2 =8×5=40

Answer:

2·2·2·5

Step-by-step explanation:

2·2=4·2=8·4=40

An angelfish was 1 1/2 inches long when it was bought. Now it is 2 1/3 inches long.a. How much has the angelfish grown?

b. An inch is 1/12 of a foot. How much has the angelfish grown in feet?

40 points!

Answers

A)

Earlier, The length of the angelfish  = 1 (1)/(2) inches

Now, the length of angelfish = 2 (1)/(3) inches

We have to determine the grown length of angelfish

=  2 (1)/(3) -  1 (1)/(2)

= (7)/(3)- (3)/(2)

LCM of '2' and '3' is '6',

= (14-9)/(6)

= (5)/(6) inch

Therefore, the angelfish has grown by (5)/(6) inch.

B)

We have to determine the increased length of angelfish in feet.

Since 1 inch = (1)/(12) foot

So, (5)/(6) inch = (5)/(6) * (1)/(12) = (5)/(72)

= 0.069 foot.

The answer for A is 5/6 inches.
2 1/3 - 1 1/2 = 2 2/6 - 1 3/6

= 2 + 6 / 6 - 1 3/6 = 8/6 - 1 3/6 = 5/6

The answer for B is 0.0694 feet.
Greetings!

Is the relationship shown in the table at the right proportional? If so, use it to complete a proportions web. If not, explain why it is not40 Points to whover answers them all

Answers

yes it would be proportional because it goes through the origin

Answer:

yes it would be proportional because it goes through the origin

Step-by-step explanation: