1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lions [1.4K]
3 years ago
9

If a certain cannon is fired from a height of 9.8 meters above the​ ground, at a certain​ angle, the height of the cannonball ab

ove the​ ground, h, in​ meters, at​ time, t, in​ seconds, is found by the function h(t) = -4.9t² + 30.5t +9.8. Find the time it takes for the cannonball to strike the ground.
Mathematics
1 answer:
ladessa [460]3 years ago
4 0

Answer:

6.53 s

Step-by-step explanation:

The height of the cannon ball is represented by a quadratic function as:

h(t) = -4.9t² + 30.5t +9.8.

At 0 s (i.e. t = 0), h(0) = -4.9(0²) + 30.5(0) + 9.8 = 9.8

That means that the cannon ball is initially at a height of 9.8 m above the ground. To calculate the time it takes the ball to touch the ground, we use:

h(t) = -4.9t² + 30.5t +9.8

It touches the ground when h(t) = 0. Hence:

0 = -4.9t² + 30.5t + 9.8

Solving the above quadratic equation gives:

t = 6.53 s and t = -0.31 s

Since the time cannot be negative, hence t = 6.53 s. Therefore it takes the ball 6.53 s to hit the ground.

You might be interested in
Elisa withdraw $20 at a time from her bank account and withdraw a total of $140. Ana withdrew $45 at a time from her bank accoun
emmainna [20.7K]
Elisa made a greater number because when you divide $140 by $20 you get 7. So that is seven Twenty dollar bills. For Ana, you divide $270 by $45 and you get 6. So for Ana you get 6 withdrawals of $45.
4 0
3 years ago
Read 2 more answers
Simplify the expression. Write your answer as a power. 5^8 x 5^5/5^4 x 5^3
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

5^5/5^4 = 5^(5-4) = 5

5^8 * 5 * 5^3 = 5^(8+1+3) = 5^12

7 0
3 years ago
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a d
anygoal [31]

Answer:

The probability of event <em>A</em> is \frac{7}{11}.

The probability of event <em>B</em> is \frac{6}{11}.

Step-by-step explanation:

The sample space of rolling a fair six-sided dice is as follows:

S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

      (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

      (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

      (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

      (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

      (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

Now consider the experiment of the computing the sum of the two rolls as follows:

X = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Number of total outcomes, <em>N</em> = 11.

The probability of an event <em>E</em> is the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

The event <em>A</em> is defined as the sum is greater than 5.

The sample space of <em>A</em> is:

A = {6, 7, 8, 9, 10, 11, 12}

n (A) = 7

Compute the probability of event <em>A</em> as follows:

P(A)=\frac{n(A)}{N}=\frac{7}{11}

Thus, the probability of event <em>A</em> is \frac{7}{11}.

The event <em>B</em> is defined as the sum is an even number.

The sample space of <em>B</em> is:

B = {2, 4, 6, 8, 10, 12}

n (B) = 6

Compute the probability of event <em>B</em> as follows:

P(B)=\frac{n(B)}{N}=\frac{6}{11}

Thus, the probability of event <em>B</em> is \frac{6}{11}.

7 0
3 years ago
96:120 simply To the least
lidiya [134]

Answer:

4:5

Step-by-step explanation:

96:120

simplified:

divide both sides of colon by 24:

4:5

7 0
3 years ago
Can l please get help ​
maria [59]

Answer:

-10x^2 +9+8x^2-5x+7=-2x^2-5x+16

4 0
3 years ago
Other questions:
  • A serving of soda is 75 ml. A two liter bottle of soda contains 26.67 servings . Since 0.67 is not a full serving , how many peo
    7·1 answer
  • Brenda can deliver 644 newspapers in 7 hours.<br> How many newspapers can Brenda deliver in 9 hours?
    13·1 answer
  • The distance between the points (-5,-4) and (1,4) is 10
    7·1 answer
  • 95, 45, 37, 82, 90, 100, 91, 78,67,84,85,85, 82, 91,
    15·1 answer
  • Tony and Sahar go to the store to buy some food. They get lemonade for $3, tomatoes for $4, bread for $6 and cheese for $5. If t
    11·1 answer
  • Madison has 142 stickers in her collection.what is 142 rounded to the nearest ten
    7·2 answers
  • Which graph shows the solution set
    10·1 answer
  • If s=17 and t=19 then r=<br>its #2 btw
    10·2 answers
  • PLEASE HELP ASAP!!!
    11·1 answer
  • (3^4/3^n)=3^6 what value of N makes equation true
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!