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2 years ago

8

Clifton is buying punch for his party . He has 12 people coming . Each person will drink 1.5 cups of punch . How many quarts of

juice does he need to purchase

1 answer:

Llana [10]2 years ago

3 0

Answer:

4.5 quarts

Step-by-step explanation:

12*1.5=18

There are 4 cups in a quart so 18/4= 4.5

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Feliz [49]

the answer is m=17

https://photomath.net/s/argDe9 shows how to get there

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2 years ago

Vladimir [108]

<em>There is no specific requirement in the question, but I'm assuming you need to compute the time needed for Alexis reach 1,000,000 Instagram followers</em>

Answer:

$t= 462.82\ days$

Step-by-step explanation:

<u>Exponential Growth </u>

When the number of observed elements grows as the previous value multiplied by a constant ratio, we have exponential growth. The formula to model such situations is

$\displaystyle f(x) = f_o(1 + r)^t$

Where $f_o$ is the initial value of f, 1 + r is the constant ratio, and t is the time expressed in half days (12 hours)

The initial value is 100 Instant followers, thus:

$\displaystyle f(x) = 100(1.01)^t$

We need to know when the number of followers will reach 1,000,000. Setting up the equation

$\displaystyle 100(1.01)^t=1,000,000$

Simplifying by 100

$\displaystyle (1.01)^t=10,000$

Taking logarithms

$\displaystyle t\ log(1.01)=log\ 10,000$

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Solving for t

$\displaystyle t=\frac{4}{log(1.01)}=925.63$ periods of 12 hrs

$t= 462.82\ days$

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3 years ago

Given m = 3/2 and the point (0, -6), which of the following is the point-slope form of the equation?

Aleks04 [339]

Answer:

Step-by-step explanation:

The equation of a line in

point-slope form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

−

y

1

=

m

(

x

−

x

1

)

2

2

∣

∣

∣

−−−−−−−−−−−−−−−−−−−−−−

where m represents the slope and

(

x

1

,

y

1

)

a point on the line

here

m

=

−

2

and

(

x

1

,

y

1

)

=

(

3

,

0

)

⇒

y

−

0

=

−

2

(

x

−

3

)

⇒

y

=

−

2

(

x

−

3

)

←

in point-slope form

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Step-by-step explanation:

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