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PilotLPTM [1.2K]
3 years ago
9

N(a)=60% n(o)=70% N(ano)=400 n(auo)complenment=10 find U and a only

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

n(A∪B)=n(A)+n(B)−n(A∪B)=50+60−40=70

n(AΔB)=n(A∪B)−n(A∩B)

⇒70−40=30.

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Plz help! Number 6 please!
Pavlova-9 [17]

Answer:

The last 2 statements are true

Step-by-step explanation:

given f(x) = x² + 6x and g(x) = 2x³

f(x) × g(x) = 2x³(x² + 6x) = 2x^{5} + 12x^{4}

not 2x^{5} + 12x³

f(0) = 0 + 0 = 0 and g(2) = 2 × 2³ = 2 × 8 = 16

f(0 × g(0) = 0 × 16 = 0 ≠ 16

f(1) = 1 + 6 = 7 and g(1) = 2 × 1³ = 2

f(1) × g(1) = 7 × 2 = 14 ← True

g(x) × g(x) = 2x³ × 2x³ = 4x^{(3+3)} = 4x^{6} ← True

5 0
3 years ago
Read 2 more answers
Any help if possible Thank you ❤
Inessa [10]
4/3 * pi * r^3
4/3 * 3.14 * r^3
4/3 * 3.14 * 9.5^3
4/3 *3.14 * 857.375
314/75 * 857.375

Answer: 1076863/300 or 3589.54333
7 0
3 years ago
It takes Sue, Jeff and Todd 4 hours to paint a room together. If it takes Sue 10 hours by herself and Jeff 12 hours by himself,
diamong [38]

The number of time it would take Todd to paint the room alone is 15 hours.

  • Let the Todd's time be t.

<u>Given the following data:</u>

  • Combine time = 4 hours
  • Sue's time = 10 hours
  • Jeff's time = 12 hours

To calculate the number of time it would take Todd to paint the room alone:

How to solve a word problem:

In order to solve this exercise, we would first of all calculate their individual rate and combined rate respectively. Finally, we would add their individual rates together and equate it to the combined rate.

<u>For </u><u>Sue</u><u>:</u>

Rate = \frac{1}{10} \;work/hr

<u>For </u><u>Jeff</u><u>:</u>

Rate = \frac{1}{12} \;work/hr

<u>For </u><u>Todd</u><u>:</u>

Rate = \frac{1}{t} \;work/hr

<u>Combined rate:</u>

Rate = \frac{1}{4} \;work/hr

Adding the individual rates, we have:

\frac{1}{10} +\frac{1}{12} +\frac{1}{t} =\frac{1}{4} \\&#10;\\&#10;

Multiplying all through by 120t, we have:

12t+10t+120=30t\\&#10;\\&#10;22t+120=30t\\&#10;\\&#10;120=30t-22t\\&#10;\\&#10;120=8t\\&#10;\\&#10;t=\frac{120}{8}

t = 15 hours.

Read more on word problems here: brainly.com/question/13170908

5 0
2 years ago
Given the equation y = 3x − 4, what is the value of x when y = 5? A) 3 B) 6 C) 9 D) 12
Dmitrij [34]

Answer:

A. 3

Step-by-step explanation:

The answer would be A because 3 times 3 is 9 and 9-4=5 which is the value o f y. 3x-4=5

add 4 to both sides: 3x=5+4

simplify: 5+4=9

divide both sides by 3:  x= 9/3

simplify 9/3 to 3:

x= 3

hope this helps!!

7 0
3 years ago
Compare how you would make a model and note how to find the sum and difference of two stones weighing 2/8 pounds and 3/8 pounds
OverLord2011 [107]
You would subtract 3/8-2/8, which equals 1/8. For drawing a model draw fraction strips to help.
:)
4 0
3 years ago
Read 2 more answers
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