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3 years ago

Write interval notation of the given number line. -3 -2 -1 0 1 2 3 4 5

Mathematics

1 answer:

liq [111]3 years ago

7 0

Answer:

(0,3]

Step-by-step explanation:

You put ( when the number is included and ] when the number isn't included. So 0 is included and 3 isn't.

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X- 12 = 5x2 in standard form

Rudik [331]

Answer:

It is: -5x^2 + x - 12 = 0

Step-by-step explanation:

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3 years ago

QUICKKKKKKKKKKKKKKKKKKK PLEASE! I MIN ONLY!

My name is Ann [436]

Answer:

1) Sunny

2) Rainy

Step-by-step explanation:

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4 years ago

Lyla took a total of 16 quizzes over the course of 4 weeks. After attending 8 weeks of school this quarter, how many quizzes wil

just olya [345]

32 quizzes. If you make a proportion of quiz/weeks it would be 16/4 = x/8. Multiply by 2.

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3 years ago

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a red card

joja [24]

Answer: $\dfrac{3}{51}$

Step-by-step explanation:

Given : The total number of cards in a deck = 52

Number of red cards = 26

There are two types of red cards : diamond and heart.

Number of diamond cards = 13

The probability that the first card is a diamond :-

$\dfrac{13}{52}=\dfrac{1}{4}$

Since diamond is also a red card.

Now, the total cards left = 51

The number of red cards left = 12

The probability that the second card is a red card (without repetition) is given by :-

$\dfrac{12}{51}$

Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-

$\dfrac{1}{4}\times\dfrac{12}{51}=\dfrac{3}{51}$

7 0

4 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y =

Tema [17]

Answer:

Volume = π [ 2/3 - 12/2].

Step-by-step explanation:

So, in this question we are asked to find or Calculate for or determine the value of volume v of the solid obtained by rotating the region bonded by the given curves about the specified lines = ? (Unknown). In addition, we are given that y = x, y = x , so, about x = 3.

Volume = π ∫ [ (3 - y)^2 - (3 - y)^2 ] dy.

(Taking 0 and 1 as the lower and upper limit).

Volume = π ∫ 9 - 6y + y^2 - 9 - 6y + y^2 dy.

(Taking 0 and 1 as the lower and upper limit).

Volume = π ∫ 2y^2 - 12y dy.

(Taking 0 and 1 as the lower and upper limit).

(Solving the quadratic equation above, we have; Roots: -6, 0

Root Pair: -3 ± 3

Factored: f(x) = 2(x + 6)x)

Also,

Volume = π [ 2y^3 / 3 - 12y2/2]

Volume = π [ 2/3 - 12/2] cubic units.

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3 years ago