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fredd [130]
3 years ago
6

(4, 14.8), (8, 29.6), (12, 44.4) find the rate of change

Mathematics
1 answer:
galina1969 [7]3 years ago
4 0

Answer:

The rate of change is 3.7

Step-by-step explanation:

To find the rate of change, we can use the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (44.4 - 14.8)/(12 - 4)

m  = 29.6/8

m = 3.7

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A 180 pound person is hanging onto a 15-foot rope. Assuming the rope is uniform and that it weighs 2 pound per foot, set up (but
aleksklad [387]

Answer:

The answer is "g= 32 FPS"

Step-by-step explanation:

Given value:

mass = 180\\\\length= 15 \\\\\lambda = \frac{ mass}{ length} = 2 \ \text{pound per foot} \\\\\bold{Formula}\\\\ \to w \int_{a}^{b} F \cdot d \ dx = \int_{0}^{15} (2x+180) \ g \ dx

by solving the value we get the value of g that is equal to 32.

4 0
2 years ago
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babunello [35]

Answer:

c

Step-by-step explanation:

because they are in large sizes but small amount of time

5 0
2 years ago
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Bus A and Bus B leave the bus depot at 8 am.
LenaWriter [7]

Answer: 10:55

Step-by-step explanation:

Taking statement at face value and the simplest scenario that commencing from 08:00am the buses take a route from depot that returns bus A to depot at 25min intervals while Bus B returns at 35min intervals.

The time the buses will be back at the depot simultaneously will be when:

N(a) * 25mins = N(b) * 35mins

Therefore, when N(b) * 35 is divisible by 25 where N(a) and N(b) are integers.

Multiples of 25 (Bus A) = 25, 50, 75, 100, 125, 150, 175, 200 etc

Multiples of 35 (Bus B) = 35, 70, 105, 140, 175, 210, 245 etc

This shows that after 7 circuits by BUS A and 5 circuits by Bus B, there will be an equal number which is 175 minutes.

So both buses are next at Depot together after 175minutes (2hr 55min) on the clock that is

at 08:00 + 2:55 = 10:55

6 0
3 years ago
What is 7x-4x=27,solve for x?
Elena L [17]

Answer:

x=9

Step-by-step explanation:

8 0
3 years ago
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If sin ⁡x=725, and 0 ∠ x ∠ pi/2, what is the tan (x - pi/4)
krok68 [10]

Tan(x-\frac{\pi }{4}) = \frac{-17}{31}

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

Here we have ,  sin ⁡x=7/25( given sin x = 725 which is not possible ) , 0 . Let's find tan (x - pi/4):

⇒ Tanx = \frac{sinx}{cosx}

⇒ Tanx = \frac{sinx}{\sqrt{1-(sinx)^{2}}}

⇒ Tanx = \frac{\frac{7}{25}}{\sqrt{1-(\frac{7}{25})^{2}}}

⇒ Tanx = {\frac{7}{25}}{\sqrt{(\frac{625}{625-49})^{}}}

⇒ Tanx = {\frac{7}{25}}(\frac{25}{24} )

⇒ Tanx = {\frac{7}{24}}

Now , Tan(x-\frac{\pi }{4}) = \frac{Tanx - Tan(\frac{\pi }{4} )}{1+ Tanx(Tan(\frac{\pi }{4} )}

⇒ Tan(x-\frac{\pi }{4}) = \frac{Tanx -1}{1+ Tanx(1)}

⇒ Tan(x-\frac{\pi }{4}) = \frac{\frac{7}{24}  -1}{1+\frac{7}{24} }

⇒ Tan(x-\frac{\pi }{4}) = \frac{\frac{7-24}{24} }{\frac{7+24}{24} }

⇒ Tan(x-\frac{\pi }{4}) = \frac{-17}{24} (\frac{24}{31} )

⇒ Tan(x-\frac{\pi }{4}) = \frac{-17}{31}

7 0
3 years ago
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