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12345 [234]
3 years ago
9

Determine the intercepts of the line?

Mathematics
1 answer:
jeka943 years ago
5 0

Answer:

x-intercept: (-7.5 , 0)   y-intercept: (0 , 5.5)

Step-by-step explanation:

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Find the cost of 20cm at 75 per m
zheka24 [161]

Answer:

20cm = 0.2 m

The cost

= 0.2 x 75

= $15

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Find the equation of the line passing through the following point.​
Valentin [98]

y+0=1*(x+0) or y=x

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You’re planning to buy a boat , a motor , and some miscellaneous boating equipment. The boat costs $325 , the motor cost $225 ,
stealth61 [152]
I am not sure what the question is.
You’re planning to buy a boat , a motor , and some miscellaneous boating equipment. The boat costs $325 , the motor cost $225 , and the equipment cost $ 79 if you’ve saved $438 toward these purchases , how much more do you need to save ? 325+225+79=629       629-438= 191
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3 years ago
A spring is oscillating so that its length is a sinusoidal function of time. Its length varies from a minimum of 10 cm to a maxi
Hoochie [10]
Let the x(t) represent the motion of the spring as a function of time, t.

The length of the oscillating spring varies from a minimum of 10 cm to a maximum of 14 cm.
Therefore its amplitude is A = (14 - 10)/2 = 2.

When t = 0 s, x = 12 cm.
Therefore the function is of the form
x(t) = 2 sin(bt) + 12

At t=0, x(t) is decreasing, and it reaches its minimum value when t = 1.2 s.
Therefore, a quarter of the period is 1.2 s.
The period is given by
T/4 = 1.2
T = 4.8 s

That is,
b = (2π)/T = (2π)/4.8 = π/2.4 = 1.309

The function is
x(t) = 2 sin(1.309t) + 12
A plot of x(t) is shown below.

When x(t) = 13.5, obtain
2 sin(1.309t) + 12 = 13.5
sin(1.309t) = (13.5 - 12)/2 = 0.75
1.309t = sin⁻¹ 0.75 = 0.8481 or π - 0.8481
t = 0.8481/1.309 or t = (π - 0.8481)/1.309
  = 0.649 or 1.751
The difference in t is 1.751 - 0.649 = 1.1026.

This difference occurs twice between t=0 and t=8 s.
Therefore the spring length is greater than 13.5 cm for 2*1.1026 = 2.205 s.

Answer:
Between t=0 and t=8, the spring is longer than 13.5 cm for 2.205 s.

8 0
3 years ago
Write a related multiplication sentence that could help you find the quotient of 6 divided by 1/4
Alex73 [517]

6 1/4 =24

1/4 x 6 = 1.5

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