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Harman [31]
2 years ago
15

During a bike challenge, riders have to collect various colored ribbons. Each 1/2 mile they collect a red ribbon, each 1/8 mile

they collect a green ribbon, and 1/4 mile they collect a blue ribbon. Which color of ribbons will be collected at the 3/4 mile marker?
Mathematics
1 answer:
Oliga [24]2 years ago
3 0
One red ribbon, 6 green ribbons and 3 blue ribbons total together would be 10 ribbons
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Well 200 beats per second is 12,000 beats a minute times 3 for 3 minutes is 36,000 beats every three minutes

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What is the y-intercept of the polynomial f(x)f(x) f(x) defined below? Write the y-value only. f(x)=−4x2+x5+10x3+5x+8x4f(x)=-4x^
zhannawk [14.2K]

Answer:

y = 0

Step-by-step explanation:

Given

f(x) = 4x² +x⁵ +10x³ +5x+8x⁴

Required

Determine the y intercept

The y intercept of a function is a point where x = 0

So, we have to substitute 0 for x in the above function

f(x) = 4x² +x⁵ +10x³ +5x+8x⁴ becomes

f(0) = 4(0)² +(0)⁵ +10(0)³ +5(0)+8(0)⁴

f(0) = 4 * 0 + 0 + 10 * 0 + 5 * 0 + 8 * 0

f(0) = 0 + 0 + 0 + 0 + 0

f(0) = 0

Substitute y for f(0)

y = 0

Hence, the y intercept is 0

4 0
2 years ago
A ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s. The radius of the ride is 9.0 meters. Which of th
lana [24]

Answer with explanation:

It is given that , ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s.

a=\frac{dv}{dt}=6 m/s

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Acceleration is rate of change of velocity,which will be perpendicular to radius vector.

Also, in terms of mathematics, line from center that is radius , to point of contact that is tangent line ,which is on the circle are perpendicular to each another.

→r(radius vector) ⊥  a(Acceleration vector).

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Answer: 22 kph

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DOWNSTREAM: d = 3 k,  r = *x + y,   y = 2 kph,   t = t

*x is the speed in still water and y is the current of the water.

Upstream equation:       5 = 2t(x - 2)   -->    \dfrac{5}{2(x-2)}=t

Downstream equation:  3 = t(x + 2)     -->    \dfrac{3}{x+2}=t

Set the equations equal to each other to solve for x:

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