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Deffense [45]
3 years ago
12

You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall is 16 feet the first secon

d, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence. How far from the cliff will the penny be at 6 seconds after it is initially dropped?
Mathematics
1 answer:
fiasKO [112]3 years ago
5 0
The penny will fall 112 feet the fourth second, 144 feet the fifth second, and 176 feet the sixth second. Therefore, the penny will be a total of 576 feet from the cliff at six seconds.
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Dishwashers are on sale for 25% off the original price (d), which can be expressed with the function p(d) = 0.75d. Local taxes a
shutvik [7]

We are given the functions:

<span>P (d) = 0.75 d                                      ---> 1</span>

<span>C (P) = 1.14 P                                      ---> 2</span>

The problem asks us to find for the final price after discount and taxes applied; therefore we have to find the composite function of the two given functions 1 and 2. To solve for composite function of the final price of the dishwasher with the discount and taxes applied, all we have to do is to plug in the value of P (d) with variable d into the equation of C (P). That is:

C (P) = 1.14 (0.75 d)

C (P) = 0.855 d

or

<span>C [P (d)] = 0.855 d</span>

8 0
3 years ago
Fernell and Dabney shared the driving
Agata [3.3K]

Answer:

15 hours

Step-by-step explanation:

Given:

Fernell's speed v_F= 50 mph

Dabney's speed v_D= 64 mph

Denote:

D_F - distance covered by Fernell

D_D - distance covered by Dabney

t_F - Fernell's time

t_D - Dabney's time

1. If Fernell drove for 3 hours longer than Dabney, then his time is 3 hours more than Dabney's time and

t_F=t_D+3

2. If Fernell covered 18 miles less than Dabney, then

D_D-D_F=18

Use formula D=t\cdot v

D_D=v_D\cdot t_D\Rightarrow D_D=64\cdot t_D\\ \\D_F=v_F\cdot t_F\Rightarrow D_F=50\cdot (t_D+3)

Subtract from the first equation the second equation and equate it to 18:

64t_D-50(t_D+3)=18\\ \\64t_D-50t_D-150=18\\ \\14t_D=168\\ \\t_D=12\ \text{hours}

t_F=t_D+3=12+3=15\ \text{hours}

5 0
3 years ago
A runner has run 1.192 kilometers of a 10-kilometer race. How much farther does he need to run to finish the race? Show your rea
lesantik [10]

Answer: 8.808 kilometers

Step-by-step explanation: have a good night :)

7 0
2 years ago
X/-10 -4 = 16 what's the compute ?
grin007 [14]

Answer:

x=-200

Step-by-step explanation:

x/-10 -4 = 16

Add 4 to each side

x/-10 -4+4 = 16+4

-x/10 = 20

Multiply each side by -10

-x/10 *-10 =-10*20

x = -200

4 0
3 years ago
A fish swam 75 feet to the bottom of the river. The fish then swam up 35 feet towards the surface of the river and stopped. How
telo118 [61]

Answer: 40

Step-by-step explanation:

75-35

5 0
3 years ago
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