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defon
3 years ago
7

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Mathematics
2 answers:
Art [367]3 years ago
8 0
A constant function is characterized by having the same value for f(x) in all it's domain. This means every value of x will have the same value in the axis y. You can see that in the graphic as a horizontal line.

The answer is: (2,6)
docker41 [41]3 years ago
6 0

Answer: A. (2, 6)

<u>Step-by-step explanation:</u>

The y-value is constant <em>(remains the same)</em> between x = 2 and x = 6.

So, the interval when y is constant is: (2, 6)

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15,000 invested at a rate of 4.8% compounded monthly. Write a compound interest function to model the situation . Then find the
Soloha48 [4]

Answer 565

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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
Kylas class packs lunches for the local shelter they make the same number of sandwiches each minute in 5 minutes the class makes
SpyIntel [72]

Answer:

640

Step-by-step explanation:

3 0
3 years ago
Josie has 47$ left on her checking account if she writes a check for 55$ what will josies balance be
HACTEHA [7]
She will have negative eight dollars. Thats all I can say

7 0
3 years ago
Write each number in scientific notation
Sophie [7]

1. 6x10^6

2. 5.4x10^-6

3. 6x10^-1

4. 9x10^3

5. 6.7x10^1

6.  2x10^6

7. 2x10^1

8. 71,000

9. 4.89x10^4

10. 9x10^7

11. 63

11. 3.3

12. 3

13. 2.16x10^4

14. 4.2x10^3

15. 015

16. 4.8x 10^0


hope it helps!

8 0
3 years ago
Read 2 more answers
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