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WINSTONCH [101]
1 year ago
14

Tanya is training a turtle for a turtle race. For every 1/3 of an hour that the turtle is crawling, he can travel 2/23 of a mile

. At what unit rate is the turtle crawling?
Mathematics
1 answer:
Oxana [17]1 year ago
8 0

The unit rate with the turtle crawling is 6/23 mile per hour.

According to the statement

we have given that the every 1/3 of an hour that the turtle is crawling, he can travel 2/23 of a mile. and

we have to find the unit rate with the turtle crawling

So, For this purpose,

we know that the

The unit rate of speed in miles per hour the number of miles in one hour.

So, to find the unit rate:

Divide distance in miles with the time which is in hours.

So,

unit rate of speed = distance / time

unit rate of speed = (2/23) / (1/3)

unit rate of speed = 6/23 mile per hour.

So, The unit rate with the turtle crawling is 6/23 mile per hour.

Learn more about unit rate here

brainly.com/question/4895463

#SPJ1

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Let y′′′−9y′′+20y′=0. find all values of r such that y=erx satisfies the differential equation. if there is more than one correc
DerKrebs [107]

we are given

differential equation as

y'''-9y''+20y'=0

we are given

y=e^{rx}

Firstly, we will find y' , y'' and y'''

those are first , second and third derivative

First derivative is

y'=re^{rx}

Second derivative is

y''=r*re^{rx}

y''=r^2e^{rx}

Third derivative is

y'''=r^2*re^{rx}

y'''=r^3e^{rx}

now, we can plug these values into differential equation

and we get

r^3 e^{rx}-9r^2 e^{rx}+20re^{rx}=0

now, we can factor out common terms

e^{rx}(r^3 -9r^2 +20r)=0

we can move that term on right side

(r^3 -9r^2 +20r)=0

now, we can factor out

r(r^2 -9r +20)=0

r(r-5)(r-4)=0

now, we can set them equal

r=0

r-5=0

r=5

r-4=0

r=4

so, we will get

r=0,4,5...............Answer

4 0
4 years ago
The measurement, y, varies directly with regard to another value, x. If y = 9 and x = 24, find x for y = 25. 9.4 50 66.7
ale4655 [162]

Answer:

<u>The correct answer is C. 66.7</u>

Step-by-step explanation:

1. y varies directly with regard to x

y = 9 and x = 24

If y = 25, what is the value of x?

2. For finding that value of x, first of all, we should understand what happened to y.

If y moves from 9 to 25 it means that y has been multiplied by 2.77, using this simple division

25/9 = 2.777

3. And we should use that same number or value to calculate the new value of x

If x was 24, now the new value of x is 24 * 2.777

24 * 2.777 = 66. 67 or 66.7 (rounding to just one decimal)

<u>The correct answer is C. 66.7</u>

4 0
3 years ago
Find the surface area of the rectangular prism.<br> 2 cm <br> 6 cm<br> 3 cm <br> 3 cm
Nookie1986 [14]

Answer:

72. If the second 3cm has some relevance, leave a note and I'll come back and modify my answer.

Step-by-step explanation:

Givens

L = 6 cm

W = 3 cm

H = 2 cm

I don't know what the extra 3 cm is for.

Formula

SA = 2*L*W + 2*L*H + 2*H*W

SA = 2*6*3 + 2*6*2 + 2*2*3

SA = 36 + 24 + 12

SA = 72

7 0
3 years ago
What is the following product?<br> 3 square root of 5 • square root of 2
evablogger [386]

The answer is 6√200, or on edge.

5 0
3 years ago
Can some one please help cause I don't understand it
lilavasa [31]

The answer is the (It’s the last two.)

Enjoy :)

8 0
3 years ago
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