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3 years ago

Susan ran 5 laps that are each 8/10 mile. How many miles did she run in all?

Mathematics

2 answers:

Levart [38]3 years ago

5 0

8/10 = 0.8
0.8 x 5 =4
4 miles

jeka57 [31]3 years ago

4 0

Answer:

5/1·8/10=4 miles

Step-by-step explanation:

5 laps each 8/10 miles. 5 times 8/10, you turn the 5 into 5/1. 5/1 times 8/10 equals 40/10 which reduced equals 4.

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Define f(0,0) in a way that extends f to be continuous at the origin. f(x, y) = ln ( 19x^2 - x^2y^2 + 19 y^2/ x^2 + y^2) Let f (

kirill115 [55]

Answer:

f(0,0)=ln19

Step-by-step explanation:

$f(x,y)=ln(\frac{19x^2-x^2y^2+19y^2}{x^2+y^2})$ is given as continuous function, so there exist $lim_{(x,y)\rightarrow(0,0)}f(x,y)$ and it is equal to f(0,0).

Put x=rcosA annd y=rsinA

$f(r,A)=ln(\frac{19r^2cos^2A-r^2cos^2A*r^2sin^2A+19r^2sin^2A}{r^cos^2A+r^2sin^2A})=ln(\frac{19r^2(cos^2A+sin^2A)-r^4cos^2Asin^a}{r^2(cos^2A+sin^2A)})$

we know that $cos^2A+sin^2A=1$ , so we have that

$f(r,A))=ln(\frac{19r^2-r^4cos^2Asin^a}{r^2})=ln(19-r^2cos^2Asin^2A)$

$lim_{(x,y)\rightarrow(0,0)}f(x,y)=lim_{r\rightarrow0}f(r,A)=ln19$

So f(0,0)=ln19.

8 0

3 years ago

Need help got 40mins left almost done with class if you can help with algebra 2 class let me know so I can personal message you

marissa [1.9K]

Answer:

Quadratic because the y values go up and then down. None of the other options can do that.

5 0

3 years ago

Read 2 more answers

David is making patterns using these rules. Rule for Pattern A: start with 20 and subtract 2 Rule for Pattern B: start with 10 a

pochemuha

Answer:

20,18,16,14,12,10,8,6,4,2

10,9,8,7,6,5,4,3,2,1

Step-by-step explanation:

Pattern A:

Rule : start with 20 and subtract 2

Pattern B:

Rule : Start with 10 and subtract 1

Pattern 1:

20 - 2 = 18

18 - 2 = 16

16 - 2 = 14

14 - 2 = 12

12 - 2 = 10

10 - 2 = 8

8 - 2 = 6

6 - 2 = 4

4 - 2 = 2

20,18,16,14,12,10,8,6,4,2

Pattern 2:

10 - 1 = 9

9 - 1 = 8

8 - 1 = 7

7 - 1 = 6

6 - 1 = 5

5 - 1 = 4

4 - 1 = 3

3 - 1 = 2

2 - 1 = 1

10,9,8,7,6,5,4,3,2,1

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2 years ago

What is 5.207 as a fraction?

Bess [88]

5 207/1000 is the answer

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3 years ago

Read 2 more answers

Find NP from the rectangle

serious [3.7K]

The diagonals of a rectangle are equal and bisect each other.

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Using Pythagoras theoram,

PQ²+NP²=NQ²

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NP²= 84

NP =√84

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2 years ago