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Nastasia [14]
3 years ago
8

A particle travels along the x-axis such that its position at time t is given by the function x(t)= 2t^2+t. What is the average

speed of this particle over the interval 2 is less than or equal to t which is less than or equal to 10
A-4

B-200

C-32

D-25
Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0

Answer:

4: A

Step-by-step explanation:

Mathematically, the average speed over a particular range will be;

f’(b)-f’(a)/(a-b)

In this case; a = 2 and b = 10

So we have the following;

f’(x) = 4t + 1

f’(10) = 4(10) + 1 = 41

f’(2) = 4(2) + 1 = 9

So we have the average speed change as;

(41-9)/(10-2)

= 32/8 = 4

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Kobotan [32]

Answer: x=  -1

               y= -2

Step-by-step explanation:

-4x+3y= -2

y=x-1

-------------------

-4x+3(x-1)= -2

-4x+3x-3= -2

-x=1

x= -1

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6 0
3 years ago
Read 2 more answers
The vertices of square RSTV have coordinates R(-1,5), S(-3,1), T(-7,3), and V(-5,7). What is the perimeter of RSTV?
kompoz [17]

The perimeter of square RSTV is: 17.88 units

Further explanation:

As the given figure is a square, all of its sides will be equal. So we have to find one side to find the perimeter.

Given

R(-1,5), S(-3,1), T(-7,3), and V(-5,7)

The distance formula will be used to find the side

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^@}

Let x be one side of square

RS=x=\sqrt{(-3-(-1))^2+(1-5)^2}\\=\sqrt{-3+1)^2+(-4)^2}\\=\sqrt(-2)^2+(-4)^2}\\=\sqrt{4+16}\\=\sqrt{20}\\=4.47

Let P be the perimeter of square

P= 4x

P=4*4.47

=17.88 units

The perimeter of square RSTV is: 17.88 units

Keywords: Perimeter, Distance Formula

Learn more about perimeter at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

6 0
3 years ago
If w=10, x=5, and y=6, what is the surface are of the figure?
Olin [163]

Answer:

hello!!!!

the answer is 280

im not really sure... read the description.... since i dont see a picture attached i dont know the figure shape which makes it difficult to guarantee the correct answer for you....

please read the explanation.. it always helps...

Step-by-step explanation:

okay im going to guess that the figure is a rectangular prism... if not please correct me

if so.... then...

2(10*5 + 10*6 + 5*6)= 280

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2 years ago
10-3v-1)=5(9-v) solve for v please show work
Aleksandr [31]

Answer:

v=18

Step-by-step explanation:

10-3v-1=5(9-v)

first open the bracket

10-3v-1=45-5v

5v-3v=45-9

2v=36

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