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Keith_Richards [23]

2 years ago

5

James is given the diagram below and asked to prove that d is congruent to f. What would be the missing step of the proof? I onl

y need the answer; no explanation needed!

2 answers:

choli [55]2 years ago

7 0

Maybe it's b. i'm not sure

klemol [59]2 years ago

3 0

The correct answer is B

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Use a table of numerical values of f(x,y) for (x,y) near the origin to make a conjecture about the value of the limit of f(x,y)

grigory [225]

Seems to be that the limit to compute is

$\displaystyle\lim_{(x,y)\to(0,0)}\frac{xy}{x^2+2y^2}$

Consider an arbitrary line through the origin $y=mx$ , so that we rewrite the above as

$\displaystyle\lim_{x\to0}\frac{mx^2}{x^2+2m^2x^2}=\lim_{x\to0}\frac m{1+2m^2}=\frac m{1+2m^2}$

The value of the limit then depends on the slope $m$ of the line chosen, which means the limit is path-dependent and thus does not exist.

8 0

2 years ago

Read 2 more answers

Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions

irakobra [83]

Answer:

24.5 points

8 points

Step-by-step explanation:

khan academy

7 0

2 years ago

Sofia is working two summer jobs, making $12 per hour babysitting and making $8 per hour clearing tables. In a given week, she c

Mamont248 [21]

The possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2, 3 hours

<em><u>Solution:</u></em>

Amount earned in babysitting = $ 12 per hour

Amount earned in clearing tables = $ 8 per hour

In a given week, she can work a maximum of 17 total hours and must earn a minimum of $180

Sofia worked 14 hours babysitting

Therefore,

Amount earned at babysitting = 14 x 12 = 168

Thus, Sofia earned $ 168 at babysitting

Sofia must earn a minimum of $ 180

Remaining amount to be earned = 180 - 168 = 12

Thus, Sofia must earn $ 12 from clearing tables

Amount earned in clearing tables = $ 8 per hour

So, she must work for atleast 1.5 hours to get $ 12 from clearing tables

She can work a maximum of 17 total hours and Sofia worked 14 hours babysitting

Remaining is 17 - 14 = 3 hours

Thus possible values for the number of whole hours clearing tables that she must work to meet her requirements is 2 hours or 3 hours

3 0

2 years ago

Reconsider the system defect situation described in Exercise 26 (Section 2.2). a. Given that the system has a type 1 defect, wha

nexus9112 [7]

Answer:

hello exercise 26 is missing attached below is exercise 26

answer: a) 0.5 (b) 0.833 (c) 0.357 (d) 0.833

Step-by-step explanation:

A1... A3 = represents defects in system 1 to 3

A' 1 ---- A'3 = represents no defects in systems 1 to 3

P( A1 ∩ A2 ) = 0.06 ( as calculated )

P ( A1 ∩ A3 ) = 0.03 ( as calculated )

P ( A2 ∩ A3 ) = 0.02 ( as calculated )

a) Probability of having a type 2 defect

The probability of A given system having both Type 2 defect given that it has a type 1 defect is considered conditional probability

= p ( A2 | A 1 ) = $\frac{P(A1 n A2)}{P(A1)}$

= $\frac{0.06}{0.12}$ = 0.5

B) Probability of having all three defects given that it has type 1 defect

= P ( A1 ∩ A2 ∩ A3 | A1 ) = $\frac{P( A1 n A2 n A3 )}{P(A1)}$

= $\frac{0.01}{0.12}$ = 0.0833 ≈ 0.8

C) probability of having exactly one type of defect given that it has atleast one type of defect

= P ( exactly one Ai | at least one Ai ) = 0.357

attached below is the detailed solution

D) probability of not having the third defect given that it has the first two types of defects

= P ( A'3 | A1 ∩ A2 ) = 0.833

attached below is the detailed solution

8 0

2 years ago

9. Ms. Ortiz sells tomatoes wholesale. The function p(x)=–80x2 + 320x – 10, graphed below,

labwork [276]

Answer:

<u>The correct answer is B. $310 at $2 per kilogram</u>

Step-by-step explanation:

1. Let's find out the maximum profit Ms. Ortiz can make with a loaf of tomatoes:

function p(x)=–80x² + 320x – 10

For x = 1, price per kilogram of tomatoes would be: 4 - x = 3

–80x² + 320x – 10, replacing with x = 1

-80 * 1² + 320 * 1 - 10 = -80 + 320 - 10 = 230

For x = 2 price per kilogram of tomatoes would be: 4 - x = 2

–80x² + 320x – 10, replacing with x = 2

-80 * 2² + 320 * 2 - 10 = -320 + 640 - 10 = 310

For x = 3, price per kilogram of tomatoes would be: 4 - x = 1

–80x² + 320x – 10, replacing with x = 3

-80 * 3² + 320 * 3 - 10 = -720 + 960 - 10 = 230

<u>The correct answer is B. $310 at $2 per kilogram</u>

7 0

2 years ago