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3 years ago

What is the distance between points P(7, -2) and Q(-5, -1)?

Mathematics

1 answer:

amid [387]3 years ago

7 0

$distance= \sqrt{(7-(-5))^2+(-2-(-1))^2}= \\ \\ = \sqrt{12^2+(-1)^2}= \sqrt{145} \approx12.04$

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Express 0.106 as a fraction

Sav [38]

Express 0.106 as a fraction.

➜ 0.106 = 106/1000

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3 years ago

1 quart is equal to 4 cups given a fact what is 8 quarts equivalent to in cups

rewona [7]

Answer:

32 cups I think

Step-by-step explanation:

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4 years ago

Read 2 more answers

Find the number of elements in A 1 ∪ A 2 ∪ A 3 if there are 200 elements in A 1 , 1000 in A 2 , and 5, 000 in A 3 if (a) A 1 ⊆ A

lina2011 [118]

Answer:

a. 4600

b. 6200

c. 6193

Step-by-step explanation:

Let $n(A)$ the number of elements in A.

Remember, the number of elements in $A_1 \cup A_2 \cup A_3$ satisfies

$n(A_1 \cup A_2 \cup A_3)=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)$

Then,

a) If $A_1\subseteq A_2, n(A_1 \cap A_2)=n(A_1)=200$ , and if $A_2\subseteq A_3, n(A_2\cap A_3)=n(A_2)=1000$

Since $A_1\subseteq A_2\; and \; A_2\subseteq A_3, \; then \; A_1\cap A_2 \cap A_3= A_1$

$n(A_1 \cup A_2 \cup A_3)=\\=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\=200+1000+5000-200-200-1000-200=4600$

b) Since the sets are pairwise disjoint

$n(A_1 \cup A_2 \cup A_3)=\\n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\200+1000+5000-0-0-0-0=6200$

c) Since there are two elements in common to each pair of sets and one element in all three sets, then

$n(A_1 \cup A_2 \cup A_3)=\\=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\=200+1000+5000-2-2-2-1=6193$

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3 years ago

Solve the problem using 6.2%, up to $128,400 for Social Security tax and using 1.45%, no wage limit, for Medicare tax.

maksim [4K]

Based on the social security tax rate and the Medicare tax, the monthly Social security is $109.12 and the Medicare tax is $25.52.

<h3>What is monthly social security act?</h3>

Graham, C. has not reached the $128,400 threshold for social security so the Social Security tax withholding for the month will be:

= Monthly salary x Social security rate

= 1,760 x 6.2%

= $109.12

The Medicare has no limit and so will be:

= 1,760 x 1.45%

= $25.52

Find out more on Social Security and Medicare at brainly.com/question/27677508.

#SPJ1

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1 year ago

What is the distance between points P begin ordered triple (-2,1,3) end ordered triple and Q begin ordered triple -(1,4,-2) end

Gnom [1K]

Because its a function

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3 years ago