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3 years ago

ANSWER ASAP GIVING BRAINLIEST!

Mathematics

1 answer:

horrorfan [7]3 years ago

6 0

Answer:

The chemical reaction is due to chemical change in the chemicals within the light stick so it shows off color.

Step-by-step explanation:

The chemicals in the light stick interact with each other. This cause them to come together and give off a color of light.

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A cooler has a temperature of 32 degrees Fahrenheit. A bottled drink is placed in the cooler with an initial temperature of

FinnZ [79.3K]

Answer:

$k \approx 0.44$

Step-by-step explanation:

Given function:

$f(t) = (ce)^{-kt}+32$

As per question statement:

Initial temperature of bottle is 70 $^\circ F$ .

i.e. when time = 0 minutes, f(t) = 70 $^\circ F$

$70 = ce^{-k\times 0}+32\\\Rightarrow 38 = ce^{0}\\\Rightarrow c = 38$

After t = 3, f(t) = 42 $^\circ F$

$42 = 38 \times e^{-k\times 3}+32\\\Rightarrow 42-32 = 38 \times e^{-3k} \\\Rightarrow 10 = 38 \times e^{-3k} \\\Rightarrow e^{3k} = \dfrac{38}{10}\\\Rightarrow e^{3k} = 3.8\\\\\text{Taking } log_e \text{both the sides:}\\\\\Rightarrow log_e {e^3k} = log_e {3.8}\\\Rightarrow 3k \times log_ee=log_e {3.8} (\because log_pq^r=r \times log_pq)\\\Rightarrow 3k \times 1=log_e {3.8}\\\Rightarrow 3k = 1.34\\\Rightarrow k = \dfrac{1.34}{3}\\\Rightarrow k \approx 0.44$

Hence, the value is:

$k \approx 0.44$

8 0

4 years ago

On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).

Valentin [98]

9514 1404 393

Answer:

(b) x +2y = 8

Step-by-step explanation:

The only offered line that includes the given point is ...

x +2y = 8

We can check the other choices:

x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)

2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice

_____

<em>Getting there from scratch</em>

The standard form equation for a line can be written from ...

(y2 -y1)x -(x2 -x1)y = constant

(-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)

-4x -8y = constant

For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.

x +2y = constant

The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...

x +2y = (2) +2(3) = constant = 8

The desired line has the equation ...

x +2y = 8

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3 years ago

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Mice21 [21]

Pythagorean theorem you times 40 by 2 then 9 by 2 then square root

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7300 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest tenth of a year, how long will it tak

ryzh [129]

It will take 55 years for the account value to reach 38200 dollars.

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3 years ago

The graph of g(x)=ax^2 opens downward and is narrower than the graph of f(x)=x^2. Which of the

Masteriza [31]

You’re answer is

b

you’re welcome :)

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3 years ago

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