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
Gekata [30.6K]
3 years ago
11

Use reasoning algebra to write the unknown factor

Mathematics
1 answer:
NARA [144]3 years ago
7 0
I dont get it... lol
You might be interested in
Kesha threw her baton up in the air from the marching band platform during practice. The equation h(t) = −16t² + 54t + 40 gives
lapo4ka [179]

Answer:

a) 40 feet

b) 54 ft/min

c) 4 mins

Step-by-step explanation:

Solution:-

- Kesha models the height ( h ) of the baton from the ground level but thrown from a platform of height hi.

- The function h ( t ) is modeled to follow a quadratic - parabolic path mathematically expressed as:

                           h ( t ) = −16t² + 54t + 40

Which gives the height of the baton from ground at time t mins.

- The initial point is of the height of the platform which is at a height of ( hi ) from the ground level.

- So the initial condition is expressed by time = 0 mins, the height of the baton h ( t ) would be:

                         h ( 0 ) = hi = -16*(0)^2 + 54*0 + 40

                         h ( 0 ) = hi = 0 + 0 + 40 = 40 feet

Answer: The height of the platform hi is 40 feet.

- The speed ( v ) during the parabolic path of the baton also varies with time t.

- The function of speed ( v ) with respect to time ( t ) can be determined by taking the derivative of displacement of baton from ground with respect to time t mins.

                        v ( t ) = dh / dt

                        v ( t )= d ( −16t² + 54t + 40 ) / dt

                        v ( t )= -2*(16)*t + 54

                        v ( t )= -32t + 54

- The velocity with which Kesha threw the baton is represented by tim t = 0 mins.

Hence,

                        v ( 0 ) = vi = -32*( 0 ) + 54

                        v ( 0 ) = vi = 54 ft / min

Answer: Kesha threw te baton with an initial speed of vo = 54 ft/min

- The baton reaches is maximum height h_max and comes down when all the kinetic energy is converted to potential energy. The baton starts to come down and cross the platform height hi = 40 feet and hits the ground.

- The height of the ball at ground is zero. Hence,

                     h ( t ) = 0

                     0 = −16t² + 54t + 40

                     0 = -8t^2 + 27t + 20

- Use the quadratic formula to solve the quadratic equation:

                     

                    t = \frac{27+/-\sqrt{27^2 - 4*8*(-20)} }{2*8}\\\\t = \frac{27+/-\sqrt{1369} }{16}\\\\t = \frac{27+/-37 }{16}\\\\t =  \frac{27 + 37}{16} \\\\t = 4

Answer: The time taken for the baton to hit the ground is t = 4 mins

3 0
3 years ago
Graph the system &amp; write its solution <br> 2x+y=-4<br> Y=-1/2x-1
xz_007 [3.2K]

Answer:

The solution of system of equation is (-2,0)

Step-by-step explanation:

Given system of equation are

Equation 1 :      2x+y=(-4)

Equation 2 :      y+\frac{1}{2}x=(-1)

To plot the equation of line, we need at least two points

For Equation 1 : 2x+y=(-4)

Let x=0

2x+y=(-4)

2(0)+y=(-4)

y=(-4)

Let x=1

2x+y=(-4)

2(1)+y=(-4)

y=(-6)

Therefore,

The required points for equation is (0,-4) and (1,-6)

For Equation 2 : y+\frac{1}{2}x=(-1)

Let x=0

y+\frac{1}{2}x=(-1)

y+\frac{1}{2}(0)=(-1)

y=(-1)

Let x=2

y+\frac{1}{2}x=(-1)

y+\frac{1}{2}(2)=(-1)

y=(-2)

The required points for equation is (0,-1) and (2,-2)

Now, plot the graph using this points

From the graph,

The red line is equation 1 and blue line is equation 2

Since. The point of intersection is solution of system of equations

The solution of system of equation is (-2,0)

6 0
3 years ago
la base de un rectángulo es es de 6 centímetros de largo y el area del rectángulo es de 91 centímetros cual es el perímetro​
HACTEHA [7]
Explanacio'n perdiccio'n
y control
7 0
3 years ago
Please I don't Know Fractions
V125BC [204]

Answer:

11%

Step-by-step explanation:

1/3 (twix)

1/3 (snicker)

1/3 x 1/3 = 1/9

1/9 = .11

.11 = 11%

5 0
3 years ago
I NEED HELP! with these 5, &amp; 7?
pochemuha

Answer:

5 is -20

7 is -5

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is a perfect square? <br> A 169 <br> B 279 <br> C 154 <br> D 115
    6·2 answers
  • A golf ball is hit from the ground with an initial velocity of 208 ft./s. assume the starting height of the ball is 0 feet. how
    7·1 answer
  • What is the value of x?
    10·1 answer
  • Translate this sentence into an algebraic equation.
    8·2 answers
  • 1.) With which kind of triangles can you always use the Pythagorean<br> Theorem?
    6·2 answers
  • A 12-sided solid has equal-sized faces numbered 1-12
    7·1 answer
  • Good morning! I am trying to get my sister her favourite game! However I am 4.78 short! I am willing to trade my 10$ Sephora gif
    15·1 answer
  • How are the step by step math problem suppose to be for this math problem (-2-8)^2?
    8·1 answer
  • A 642.5 acre piece of land is being divided into 5-acre parcels.
    7·1 answer
  • Solve For X, using the given triangle.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!