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
Alik [6]
3 years ago
10

A ball is thrown from an initial height of 2 meters with an initial upward velocity of 15/ms . The ball's height h (in meters) a

fter t seconds is given by the following. =h+2−15t5t2 Find all values of t for which the ball's height is 7 meters. Round your answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.)

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0
The height that a ball reaches at a certain time t is given by the equation,
           h = 2 - 15t + 5t²
We are asked to compute for the values of t that would allow the ball to reach a height of 7 meters. 

Substitute the 7 to the equation,
         7 = 2 - 15t + 5t²
Transposing,
               5t² - 15t - 7 + 2 = 0
Simplifying,
               5t² - 15t - 5 = 0
Divide the equation by 5,
               t² - 3t - 1 = 0

The values of t can be calculated through the quadratic formula,
             t = (-b +/- sqrt(b² - 4ac))/2a

Substituting, 
             t = (3 +/-sqrt (9 - 4(-1)) / 2(1)
              t = 3.3 or t = -0.30

Since, we cannot have t as a negative number hence, our final answer is:
      <em> t = 3.3 s</em>
You might be interested in
A roller coaster travels at a constant rate. If the roller coaster travels a total of 2,070 meters in 30 seconds, how many meter
worty [1.4K]

Answer:

I am pretty sure it is 69 meters per 1 second

Step-by-step explanation:

Because you divide 2070 with 30 and you get 69.

6 0
3 years ago
Read 2 more answers
What term best describes angles 1 and 2 in the figure above?
photoshop1234 [79]
These are only adjacent. 
6 0
3 years ago
Read 2 more answers
Negative nine times the sum of a number and eighteen
bekas [8.4K]
-9(n+18) is the answer
5 0
3 years ago
A store asked 250 of its customers whether or not they were satisfied with the service. The responses were also classified accor
anyanavicka [17]

Answer:

Correct option: e) a two-way table.

Step-by-step explanation:

In this case the store wants to see whether there is a relationship between the satisfaction level of the customer and their gender.

In statistics when there is a need to analyze or derive a relation between two categorical variables one should use a two-way table.

Categorical variables are qualitative variables that take on specific values that are usually labels. For example, grades obtained in an exam, gender, etc.

In this case the two categorical variables are: Gender and Satisfaction level.

To study the relation between the gender of a customer and their satisfaction level use a two-way table.

 

3 0
3 years ago
Ln 2 - ln (3x + 2) =1
Westkost [7]
When you add 2 logs together, you get the log of the product.
When you subtract 2 logs, you get the log of the quotient.

Like this:

     Ln(2) - Ln(3x+2) is the Ln(2/3x+2) .

So now you have          Ln(2/3x+2)  =  1

Raise 'e' to the power of
each side of the equation:        (2/3x+2)  =  e¹

Multiply each side by (3x+2):      2 = (e) (3x+2)

Divide each side by 'e':                2/e = 3x + 2

Subtract  2  from each side:      (2/e) - 2  =  3x

Divide each side by 3:                  x = [ (2/e) - 2 ] / 3

                                                         = approx.  -0.421...  (rounded)

I checked this by writing it into the original equation in place of 'x'.
That took my about 5 tries, but it finally checked OK.

Please.  DON't use my answer unless you understand
where it came from.
7 0
3 years ago
Other questions:
  • Martin is making a candy that contains 90% milk chocolate and the rest caramels. The candy has 3 pounds of caramels. Part A: Wri
    9·1 answer
  • To decrease an amount by 7%, what single multiplier would you use?
    10·1 answer
  • Please quickly answer!
    6·1 answer
  • The equation x2 + 4y2 = 36 represents which conic section?
    11·1 answer
  • 3. In the following equation, what is the y-intercept?<br> y = -3x + 7
    8·1 answer
  • Suppose that prices of recently sold homes in one neighborhood have a mean of $215,000 with a standard deviation of $8900. Using
    10·1 answer
  • What is the difference between 6204 and 5735​
    11·2 answers
  • The Fosters vowed on their wedding day to
    15·1 answer
  • You anyone want points 2+2
    5·1 answer
  • express 121,200 in exponential (powers of 10) notation. express the earth sun distance in kilometers in powers of 10 notation.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!