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2 years ago

What is the x and y intercepts Of “ -2y=3x-6 “ ?

Mathematics

1 answer:

vesna_86 [32]2 years ago

5 0

$-2y=3x-6\ \ \ \ |:(-2)\\\\y=-1.5x+3$

It's a slope-intercept form where a slope = -1.5 and y-intercept = 3.

x - intercept: y = 0

Therefore we have the equation:

-1.5x + 3 = 0 |-3

-1.5x = -3 |:(-1.5)

x = 2

Answer: x-intercept = 2, y-intercept = 3

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marta [7]

What does this even mean

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2 years ago

One of the loudest sounds in recent history was that made by the explosion of Krakatoa on August 26-27, 1883. According to barom

liraira [26]

Answer:

150.51 dB

Step-by-step explanation:

Data provided in the question:

decibel level of sound at 161 km distance = 180 dB

d₁ = 161 km

d₂ = 4800 km

I₁ = 180 db

The formula for intensity of sound is given as:

I = $10\log(\frac{I_2}{I_1})$

and the relation between intensity and distance is given as:

I ∝ $\frac{1}{d^2}$

Id² = constant

thus,

I₁d₁² = I₂d₂²

$\frac{I_2}{I_1}=\frac{d_1}{d_2}$

therefore,

I = $10\log(\frac{d_1}{d_2})^2$

I = $10\times2\times\log(\frac{161}{4,800})$

I = 20 × (-1.474)

I = -29.49

Therefore,

the decibel level on Rodriguez Island, 4,800 km away

= 180 - 29.49

= 150.51 dB

8 0

2 years ago

Add. 6 1/3 + 4 ¾ + 3 7/12 =

vodka [1.7K]

14 2/3 This is the answer! I know you will get this right buddy!

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2 years ago

Read 2 more answers

Annabella time for a race was 24.2 seconds. Another runnee's time was 6.43 seconds faster write and evaluate an equation with to

liberstina [14]

Answer:

Step-by-step explanation:

Given Annabella time for a race is 24.2 seconds, if another runnee's time was 6.43 seconds faster, then the time taken for another runnee's time will be 24.2 - 6.43 = 17.77secs.

Let a variable X be the difference between annabelle's time and the other runners time.

X = annabelle's time - other runners time.

X = 24.2 - (24.2 - 6.43)

X = 24.2-24.2+6.43

X = 6.43seconds

Hence the expression between annabelle's time and the other runners time is X = 24.2 - (24.2 - 6.43)

<em>The difference between annabelle's time and the other runners time is 6.43seconds</em>

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3 years ago

Cards are dealt, one at a time, from a standard 52-card deck. a if the first 2 cards are both spades, what is the probability th

ratelena [41]

So we already drew two cards and both of them are spades. So that means there are 50 cards and 11 spades left.

Then third card being spades would be 11 / 50

Now there are 10 spades and 49 cards left.
So the probability for fourth card would be 10 / 49

Fifth card would be 9 / 48.

So the probability of next three cards being spades would be
$\dfrac{11}{50}\cdot\dfrac{10}{49}\cdot\dfrac9{48}=\dfrac{33}{3920}\approx\boxed{0.00842}$

Hope this helps.

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3 years ago