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Dmitriy789 [7]
3 years ago
8

Write the slope intercept form of the equation of the line through the given point with the given slope through (-2,5),slope-3/2

Mathematics
1 answer:
hjlf3 years ago
6 0
Answer: y= -3/2x + 2
y= -3/2 + b
5 = -3/2 * -2 + b
5 = 3 + b
2 = b
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Elio makes candles that are 14 cm tall. Each candle burns 8 hours before going out. He is wondering how many hours a 21 cm tall
MAXImum [283]
Elio is right in assuming the relationship between the height and the hours it burns is proportional.

Find the unit rate

14 ÷ 8 = 1.75 cm/h

Divide

21 ÷ 1.75 = 12

You can set this up as an algebraic equation to check the answer.

If the candle is 21 cm tall, it will burn for 12 hours.

Hope this helped you! :)
8 0
3 years ago
Write the standard equation of the circle shown.
zysi [14]

Answer:

b

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ← r is the radius

The circle shown is centred at the origin and has a radius of 5, thus

x² + y² = 5² ⇒ x² + y² = 25 → b

4 0
3 years ago
A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience i
s344n2d4d5 [400]

Answer:

5.3%

Step-by-step explanation:

The final probability is calculated by means of the quotient of the specific combinations and the total of total combinations

Let's start with the specific ones,

First the number of combinations of 4 of the 30 students getting a spot, i.e .:

A combinations are equal to:

nCx = n! / x! * (n-x)!

Replacing:

30C4 = 30! / (4! * 26!) = 27405

Segundo the number of combinations of the other audience members filling the other 4 (8-4) spots n = 110, 140 - 30

110C4 = 110! / (4! * 106!) = 5773185

Now the total combinations of possible 8 contestants from the audience

140C8 = 140! / (8! * 132!) = 2.98 * 10 ^ 12

Finally, the probability is equal to:

P = (30C4 * 110C4) / 140C8

replacing:

P = 27405 * 5773185 / 2.98 * 10 ^ 12

P = 0.053

Therefore the probability is 5.3%

4 0
3 years ago
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Greeley [361]

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the slope is the ratio of "y coordinate difference / x coordinate difference".

so, let's find 2 good points (I mean by that with integer coordinates). I see e.g.

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x changes by +1 (from -1 to 0).

y changes by -6 (from -1 to -7).

so, the slope is -6/1 = -6.

D is the right answer.

8 0
2 years ago
What is the length of a dresser
NeX [460]
The answer is 35 inches.
8 0
3 years ago
Read 2 more answers
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