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julsineya [31]
2 years ago
14

A,b,c or d please help i don’t understand this

Mathematics
1 answer:
alexira [117]2 years ago
7 0

uhm the answer is D. sorry if am wrong

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An object falls freely in a straight line and experiences air resistance proportional to its? speed; this means its acceleration
KiRa [710]

Answer:

t = 1.068 s

Step-by-step explanation:

given,

a(t) =- k v(t)

speed of the object decreases from 800 ft/s to 700 ft/s

distance = 1400 ft

time for deceleration = ?

a(t) =- k v(t)

\dfrac{dv}{dt}= - kv

\dfrac{dv}{v}= - kdt

integrating both side

\int_{800}^{700}\dfrac{dv}{v}= - k\int dt

ln(\dfrac{7}{8})=-kt

t = -\dfrac{1}{k}ln(\dfrac{7}{8})..........(1)

since,

v = v_1e^{-kt}

\dfrac{ds}{dt} = 800e^{-kt}

\int ds= 800\int_0^t e^{-kt}dt

1400= -\dfrac{800}{k}[e^{-kt}-e^0]

from equation 1

k= -\dfrac{8}{14}[\dfrac{7}{8}-1]

k= \dfrac{1}{8}

putting value of k in equation (1)

t = -8ln(\dfrac{7}{8})

t = 1.068 s

5 0
3 years ago
Write the sentence as an equation,<br><br> Four times the difference of -10 and 3 amounts to -52.
mars1129 [50]

Answer:

4*(-10-(-3))=-52

Step-by-step explanation:

just step by step

4 0
2 years ago
The quantity demanded x for a product is inversely proportional to the cube of the price p for
Harrizon [31]
X = k/p^3
125 = k/10^3 = k/1000
1000 x 125 = k
k = 125000

x = 125000/p^3

The profit is given by G = px - (125 + 2x) = p(125000/p^3) - 125 - 2(125000/p^3) = 125000/p^2 - 250000/p^3 - 125
For maximum profit:
dG/dp = 0
dG/dp = -250000/p^3 + 750000/p^4 = 0
750000 - 250000p = 0
p = 750000/250000 = 3

Therefore the price that will yeaild maximum profit is $3.
6 0
3 years ago
6 times the difference of d and 5?​
densk [106]

Answer:

6d-30

Step-by-step explanation:

6(d-5)

6d-30             distributive property

4 0
2 years ago
The scatterplot shows the relationship between the number of calories and the number of grams of fat in food items at a fast-foo
docker41 [41]

Answer: 550 calories

6 0
2 years ago
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