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irina1246 [14]
3 years ago
7

Find the second, fourth, and tenth terms of the sequence described by the rule. A(n)=2+ (n-1)(7)

Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

Answer:

a(2) = 9

a(4) = 23

a(10) = 65

Step-by-step explanation:

a(2) = 2 + (2 - 1)(7)

= 2 + 1(7)

= 2 + 7

= 9

a(4) = 2 + (4 - 1)(7)

= 2 + 3(7)

= 2 + 21

= 23

a(10) = 2 + (10 - 1)(7)

= 2 + 9(7)

= 2 + 63

= 65

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Pls help due in 30 mins
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Answer:

1-yes x5

2-yes x4

3-yes x2

Step-by-step explanation:

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3 years ago
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After 3/4 of a minute a sloth has moved just 3/8 of a foot. What is the sloths speed in feet per minute?
horsena [70]
So so what should we multiply 3/4 by to get one? we can multiply it by 4/3.  so we multiply 3/4 by 4/3 and multiply 3/8 by 4/3. so thats 12/24. which is the same as 1/2. so the sloth moves 1/2 of a foot a minute

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Use your ruler to draw a rectangle that measures 3 1/4 by 4 3/4 inches to find its area
sweet-ann [11.9K]

Answer:

Ok so use a ruler and draw out 3 1/4 length and 4 3/4 width and create it into a square.

Step-by-step explanation:

To find the area just multiply the lenght times width and you get 15.4375 or in fractions 247 /16

6 0
3 years ago
What is the value of x in the equation below?
Nutka1998 [239]

Answer:

B) x = -12

Step-by-step explanation:

[Given] -2.5(x-4) = -3x + 4

[Distibute] -2.5x + 10 = -3x + 4

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[Add 2.5x to both sides] 6 = -0.5x

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Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

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2 years ago
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A weight suspended by a spring vibrates vertically according to the function D D given by D(t)=2sin(4π(t+18)) D ( t ) = 2 sin (
STALIN [3.7K]

Answer:

21.75 cm/s

Step-by-step explanation:

1 cm above central position means D = 1, so we plug in 1 into D(t) and find the time and which this occurs.

D(t)=2Sin (4\pi(t+18))\\1=2Sin (4\pi(t+18))\\\frac{1}{2}=Sin(4\pi t +72\pi)\\4\pi t + 72 \pi = \frac{\pi}{6}\\4\pi t = \frac{\pi}{6}-72\pi\\t=\frac{\frac{\pi}{6}-72\pi}{4\pi}

This is the time at which this occurs.

To find instantaneous rate of change, we differentiate D(t) and plug in this t we found. Remembering that d/dt (Sin t) = Cos t

D(t)=2Sin (4\pi(t+18))\\D(t)=2Sin(4\pi t + 72\pi)\\D'(t)=2Cos(4\pi t + 72\pi)(4\pi)

Now putting t:

D'(t)=2Cos(4\pi t + 72\pi)(4\pi)\\D'(\frac{\frac{\pi}{6}-72\pi}{4\pi})=2Cos(4\pi (\frac{\frac{\pi}{6}-72\pi}{4\pi}) + 72\pi)(4\pi)\\=8\pi Cos(\frac{\pi}{6})\\=21.75

Thus, the instantaneous rate would be around 21.75 cm/s

8 0
3 years ago
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