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Ludmilka [50]
4 years ago
8

A set of numbers is shown:

Mathematics
1 answer:
Nady [450]4 years ago
8 0

The correct answers are 5, 10, and 15. I'm doing the same subject and I got a 100 on a question similar. Good luck!

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Suppose that a particle following the given path c(t) flies off on a tangent at t = t0. Compute the position of the particle at
Svetach [21]

Answer:

(30,35,0)

Step-by-step explanation:

We are given that

C(t)=(2t^2,t^3-4t,0)

t_0=3,t_1=4

The velocity of particle,v(t)=c'(t)=(4t,3t^2-4,0)

Substitute t_0=3

C(3)=(2(3)^2,(3)^3-4(3),0))=(18,15,0)

v(3)=(4(3),3(3)^2-4,0)=(12,23,0)

The tangent line at t=3 is given by

l(t)=c(2)+(t-3)v(3)=(18,15,0)+(t-3)(12,23,0)

Now, substitute t=4

l(4)=(18,15,0)+(4-3)+(12,23,0)=(18,12,0)+(12,23,0)

l(4)=(30,35,0)

Hence, the position of particle  at t_1=4=(30,35,0)

4 0
3 years ago
The length of a room is 2 1/2 feet more than its width. If the perimeter of the room is 80 feet, find its width and length?​
horsena [70]

Answer:

The width is 20.625 and the length is 19.375

Step-by-step explanation:

Let 2 1/2 + w = length

Let w = width

Equation:

2 1/2 + w + w = 80                     Combine liked terms

2 1/2 + 2w = 80                    

-2 1/2         -2 1/2                        Subtract 2 1/2 from both sides

2w  =   77.5

÷ 2     ÷ 2                                    Divide 2 from both sides

w = 41.25

Length:

2 1/2 + 41.25 = 165/4 or 38.75

Width:

41.25

41.25/2 = 20.625

38.75/2 = 19.375

4 0
3 years ago
1. George's gross pay was $565. If he has to pay 1.45% to Medicare tax, how much will the Medicare tax deduction be?
larisa86 [58]

Answer: $8.19

Step-by-step explanation: Times 565 by 1.45% and that's what you get.

6 0
3 years ago
Read 2 more answers
How to find slope using a graph. <br>​
Pani-rosa [81]

Answer:

See below.

Step-by-step explanation:

Find two points on the graph that are easy to read.

Start at one point. You must now go to the other point, but you can only move vertically (up and down) and horizontally (right and left.)

Move vertically toward the other point. Count the number of units you moved. Up is positive, and down is negative. This is the rise.

Now move horizontally to the second point and count the units. Right is positive and left is negative. This is the run.

slope = rise/run

4 0
3 years ago
PLEASE HELP URGENT 25 POINTS
LekaFEV [45]

Answer:

What do you need help with there is nothing here??

Step-by-step explanation:

4 0
3 years ago
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