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
olga_2 [115]
3 years ago
13

Due to gravity, an object falls 16t^2 feet in t seconds. You drop a backpack from a window that is 20 feet above the ground. Wil

l the backpack hit the ground in 1 second?
Mathematics
1 answer:
sukhopar [10]3 years ago
3 0

Answer:

NO

Step-by-step explanation:

Let h(t) represent the distance the pack is located above the ground at time t.  Then h(t) = 20 ft - 16t^2 ft.  Notice how h = 20 ft (the initial height) and that it decreases as t increases.

How long does it take for the pack tohit the ground?  Set h(t) = 0 and solve for t:

0 ft = 20 ft - 16t^2 ft yields 16t^2 ft = 20, or t^2 ft = 20/16, which is greater than 1.  So the question "Will the backpack hit the ground in 1 second" is answered by NO.

You might be interested in
5. Consider the diagram below. Solve for x.
mrs_skeptik [129]

Answer:

41 degrees

Step-by-step explanation:

The three angles need to add up to 180 degrees!

4 0
3 years ago
Can someone please help. It’s fine if the answer not correct at least you tried. But could anyone help because I can’t figure ou
egoroff_w [7]

WAR is given as 57 degrees.

If you draw a line from W to R, the angle WRA would also be 57 degrees.

57 + 57 = 114

The measure of AR = 180 -114 = 66 degrees.

5 0
3 years ago
Read 2 more answers
Will mark brainliest!!
melamori03 [73]
A) Garage A = 3x
Garage B = 2x + 2
b) 2x + 2 = 3x
x = 2
c) the solution, 2, means the number of hour which both garages would have the equal amount of cost. In this case, in 2 hours, they would be equal in cost.
8 0
3 years ago
Read 2 more answers
Help? I can't seem to understand arithmegic sequence.
katrin2010 [14]

A sequence \{a_n\} is arithmetic if the difference between consecutive terms is some fixed number, regardless of which pair of consecutive terms you pick out of the sequence.

For example, the following sequences are arithmetic:

1, 2, 3, 4, 5, 6, ... (difference = 1)

-25, -20, -15, -10, -5, ... (difference = 5)

2. Carla's sequence is not arithmetic, because the differences between consecutive terms are all different:

13 - 11 = 2

17 - 13 = 4

25 - 17 = 8

She can adjust the sequence by changing the last two numbers to 15 and 17, since this makes the difference fixed:

13 - 11 = 2

15 - 13 = 2

17 - 15 = 2

and so on.

3. The sequence

45, 48, 51, 54, ...

is arithmetic with difference 3 between terms. Recursively, we can write the nth term, a_n, in terms of the previous, (n-1)th term, a_{n-1}:

a_n=a_{n-1}+3

By this definition, we can just as easily write the (n-1)th term in terms of the (n-2)th term:

a_{n-1}=a_{n-2}+3

Then, substituting this into the previous equation, we have

a_n=(a_{n-2}+3)+3=a_{n-2}+2\cdot3

We can continue this process to write a_n in terms of a_1:

a_{n-2}=a_{n-3}+3\implies a_n=a_{n-3}+3\cdot3

a_{n-3}=a_{n-4}+3\implies a_n=a_{n-4}+4\cdot3

and so on. (You might notice that the subscript of the term on the right side, and the number of 3s being added, together sum to n.) The pattern continues down to

a_n=a_1+(n-1)\cdot3

The first term in this sequence is a_1=45, so we have

a. a_n=45+3(n-1)=42+3n

where n=1,2,3,\ldots.

b. You can fill in the blanks by just adding 3 to the previous term:

45, 48, 51, 54, <u>57</u>, 60, <u>63</u>, 66, 69, ...

Then, using the formula found in (a), the 15th term of the sequence is

a_{15}=42+3\cdot15=87

4 0
3 years ago
3x/5 - x = x/5 - 5/2?
laila [671]
X= 4.167 you cross multiply both the equations. so you get 30x - 50x = 10x - 125. you shift all the values of x on side and then divide it by 125 sso you get x= 4.167 
6 0
3 years ago
Other questions:
  • george collects 25 baseball cards each month. how many cards will he have at the end of one year?complete the equation to help y
    8·2 answers
  • Apply the distributive property to write an equivalent expression <br>4(2+w)​
    13·1 answer
  • The sum of y and two, all divided by five
    7·1 answer
  • Quadrilateral ABCD is located at A(-2,2), B(-2,4) and D(2,2). The quadrilateral is then transformed using the rule (x+2,y-3) to
    11·1 answer
  • Hannah buys two and a half pound of dried fruit for $1.15 how much is she paying for one pounds of dried fruit
    15·1 answer
  • Solve for x: 4 over 5 x + 4 over 3 = 2x x = __________________ Write your answer as an improper fraction in simplest form. Use t
    8·2 answers
  • Which is bigger 1/3 or 7/8
    5·2 answers
  • Can someone help me with this
    11·1 answer
  • 3/4 x 5/6 plssssssssssss help
    5·2 answers
  • Of the following situations, which is best represented by the product<br> 5x(-3)?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!