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disa [49]
3 years ago
8

Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day.

If the original amount of room freshener in the bottle was 40 grams, which of the following graphs best represents the amount of room freshener f(x) that would remain in the bottle after x days?
graph of function f of x equals 30 multiplied by 0.88 to the power of x


graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis


graph of function f of x equals 50 multiplied by 0.82 to the power of x


graph of exponential function going down from left to right in quadrant 1 through the point 0, 4 and approaching the x axis
Mathematics
1 answer:
Serggg [28]3 years ago
7 0
For this case we have a function of the form:
 y = A * (b) ^ x

 Where,
 A: initial amount
 b: decrease rate
 x: time in days
 Substituting values we have:
 y = 40 * (0.85) ^ x

 Therefore, the graph of the function is a decreasing exponential function in the first quadrant and that has an initial value of 40.
 Answer:
 
graph of exponential function going from left to right in quadrant 1 through the point 0, 40 and approaching the x axis
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Can someone help me solve this please?
Brilliant_brown [7]

Answer:

Step-by-step explanation:

1 = 1/16 (one chance on 16

2 = 7/16 (the non shaded parts are 7, while the total parts are 16)

3 = 11/16 ( 11 is unshaded + even)

4 = 4/16 = 1/4 (the favourable possibilities are: 13, 14, 15, 16)

4 0
2 years ago
Evaluate the expression.<br><br> StartFraction 9 factorial Over 3 factorial EndFraction
Verizon [17]

Answer:

The answer you should get is 9:3

Step-by-step explanation:

5 0
3 years ago
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-4x + 2(5x - 6)= -3x - 39 solve for x
Veseljchak [2.6K]

Answer:

x = -3

Step-by-step explanation:

-4x + 2(5x - 6) = -3x - 39

-<u>4x</u> + <u>10x</u> - 12 = -3x - 39

-4x + 10x = 6x

6x - 12 = -3x - 39

<u>+3x</u><u>      _ </u><u>+3x        </u>

9x - 12 = -39

<u>     </u><u>+ 12</u><u>   </u><u>+12</u>

<u></u>

\frac{9x}{9} = \frac{-27}{9}

x = -3

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3 0
3 years ago
Isaak is writing an explicit formula to represent the sequence.
denis-greek [22]

Answer:

1.75

Step-by-step explanation:

A geometric progression or sequence is a series of numbers with a special property where the ratio between each consecutive number is the same. This number is called the common ratio.

We can test whether the sequence is geometric by dividing consecutive numbers as follows:

\frac{112}{64} = 1.75

\frac{196}{112} = 1.75

\frac{343}{196} = 1.75

So we can see that the common ratio is 1.75.

3 0
3 years ago
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Jenna is making bracelets and necklaces to sell to raise money for the field trip her class is taking next month. If she raises
RUDIKE [14]

The inequality for this situation is given as b + n ≥ 16 and 6b + 9n > 108

<h3>What is an inequality?</h3>

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let b represent the number of bracelets she sells, and let n represent the number of necklaces she sells.

Hence:

b + n ≥ 16  (1)

and:

6b + 9n > 108   (2)

The inequality for this situation is given as b + n ≥ 16 and 6b + 9n > 108

Find out more on inequality at: brainly.com/question/24372553

7 0
2 years ago
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