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alexdok [17]
3 years ago
8

There is a line whose slope is 7 and whose y-intercept is 9. What is its equation in slope-intercept form?

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

Y=7x+9

Step-by-step explanation:

Y=mx + b

b= y-intercept

m=slope

Substitute:

Y=7x+9

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Correct option C) 0.98%

<u>Step-by-step explanation:</u>

We know that  , there are 2 black ace cards out of 52 cards in a deck & 13 hearts out of 52 cards . Here we have to tell What is the probability of drawing a black ace followed by a heart out  of a deck when the cards aren't replaced . Let's find out:

Firstly , a black ace is drawn , so probability :

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Now , A heart is drawn out of 51 cards ( as one black ace is already drawn !):

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So , Probability of occurring both events is :

⇒ P(Black)(P(Heart))

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⇒ 0.0098

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Therefore , Correct option C) 0.98%

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3 years ago
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Mr. Schordine wants to fill up enough helium balloons to allow him to fly through the skies. He weighs 84 kilograms. He knows th
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Answer:

There is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.

Step-by-step explanation:

First, we need to calculate the volume of each balloon by considering the balloons as a sphere:    

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Where:

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V = \frac{4}{3}\pi r^{3} = \frac{4}{3}\pi (0.4 m)^{3} = 0.27 m^{3}

Knowing that 1 m³ of helium is able to lift about 1 kg, that Mr. Schordine weights 84 kg, and that each ballon has 0.27 m³ of helium, the number of balloons needed are:

N = \frac{1 m^{3}}{1 kg}*84 kg*\frac{1 balloon}{0.27 m^{3}} = 311.1 \: balloon              

Therefore, there is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.      

 

I hope it helps you!

6 0
3 years ago
The volume of a cube with side length x is V(x)=x^3. The volume of a cylinder with radius x and height 0.5x is shown in the grap
abruzzese [7]

Answer:

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