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
Tems11 [23]
3 years ago
9

From the top of a vertical tower 248 m high , a stone is projected vertically downwards with a speed of 8 ms . After x seconds a

nother stone is projected vertically upwards from the level of the base of the tower with a speed 25 ms . Given that two stones are at same height moving in the same direction 6 seconds after projection of the first stone , calculate :
1) value of x
2) the velocity of the second stone at this instant
Mathematics
1 answer:
Valentin [98]3 years ago
4 0
It is 2 that what i got and i think i got it write if not delete 

You might be interested in
The growth of a city is described by the population functionwhereis the initial population of the city, t is the time in years,
mamaluj [8]

Complete question:

The growth of a city is described by the population function p(t) = P0e^kt where P0 is the initial population of the city, t is the time in years, and k is a constant. If the population of the city atis 19,000 and the population of the city atis 23,000, which is the nearest approximation to the population of the city at

Answer:

27,800

Step-by-step explanation:

We need to obtain the initial population(P0) and constant value (k)

Population function : p(t) = P0e^kt

At t = 0, population = 19,000

19,000 = P0e^(k*0)

19,000 = P0 * e^0

19000 = P0 * 1

19000 = P0

Hence, initial population = 19,000

At t = 3; population = 23,000

23,000 = 19000e^(k*3)

23000 = 19000 * e^3k

e^3k = 23000/ 19000

e^3k = 1.2105263

Take the ln

3k = ln(1.2105263)

k = 0.1910552 / 3

k = 0.0636850

At t = 6

p(t) = P0e^kt

p(6) = 19000 * e^(0.0636850 * 6)

P(6) = 19000 * e^0.3821104

P(6) = 19000 * 1.4653739

P(6) = 27842.104

27,800 ( nearest whole number)

3 0
3 years ago
Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

  2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

  .0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

  .0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

  s = 65000 -2c . . . . . . . expression we can substitute for s

  0.0725c +0.104(65000 -2c) = 5405

  -0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

  c = 1355/.1355 = 10,000

  s = 65000 -2×10000 = 45,000

  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

6 0
3 years ago
I need help plsssssssss
Allushta [10]
I think the answer is maybe A?
8 0
3 years ago
Each of the c children at a park will receive at least 3 balloons. If 150 balloons are given out in all, what is the maximum num
Marizza181 [45]

Answer:

50

Step-by-step explanation:

150 divided by 3 = 50

3 0
2 years ago
Read 2 more answers
21/√7-5√7/2 solve it
umka21 [38]

Answer:

√72

Decimal Form:

1.32287565…

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

5 0
1 year ago
Other questions:
  • Find the exact solution to the equation. 320 (1/4 )^ x/4 = 5
    15·1 answer
  • How many yards are in 150 feet?
    5·2 answers
  • I need to find all roots of x^4 - 64x
    15·1 answer
  • Estimate 24% of 33.<br><br> a) 17<br><br> b) 12<br><br> c) 2<br><br> d) 8
    12·1 answer
  • Help please with this question
    15·1 answer
  • 3. Multiply the polynomials (a^2 + 3a – 4) and (2a^2 – a + 5). Simplify the answer. Show your work.
    6·1 answer
  • Please help fasttt!!
    9·1 answer
  • Which of the following amounts is greater than 6 feet? Select all that apply. A) 2 yards, 3 inches B) 5 feet, 8 inches C) 96 inc
    13·1 answer
  • Sarah jogged 4.8 miles each day for 22 days last month. How many miles did Sarah jog in total?
    11·1 answer
  • Find the solution of the system of equations.<br> 4x – y = -32<br> 16x – 3y = -124
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!