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ivann1987 [24]
3 years ago
6

Nicole is 56 inches tall and has an 84 inch shadow. Julie is standing next to Nicole and has a 96 inch shadow. How tall is Julie

?
Mathematics
1 answer:
ki77a [65]3 years ago
5 0
I believe it’s 68 Inches
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The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
Oksana_A [137]

Answer:

<h2>A.</h2>

Step-by-step explanation:

The given table is

Days     Bees

  0        10,000

 10        7,500

 20       5,600

 30       4,200

 40       3,200

 50       2,400

Where x represents days and y represents bees.

The exponential function that models this problem must be like

y=a(1-r)^{x}, which represenst an exponential decary, because in this case, the number of bees decays.

We nned to use one points, to find the rate of decay. We know that a=10,000, because it starts with 10,000 bees.

Let's use the points (10, 7500)

y=a(1-r)^{x}\\7500=10000(1-r)^{10}

Solving for r, we have

\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75

Using logarithms, we have

ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97

Replacing all values in the model, we have

y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}

Therefore, the right answer is the first choice, that's the best approximation to this situation.

6 0
2 years ago
Read 2 more answers
Can you please help me with this?
Dimas [21]
Just substitute the coordinates
4 0
3 years ago
A cylinder has a height of 1.2 cm and the following base. 5 mm
koban [17]

Step-by-step explanation:

this picture will help

you

3 0
3 years ago
17 1/3 + (-50 1/3) -5 1/2
vovangra [49]
<span>17 1/3 + (-50 1/3) -5 1/2 
= -33  - 5 1/2 
= (</span>-33 ) + ( - 5 1/2)
<span>= -38 1/2

</span>
8 0
3 years ago
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What is the sum of 4.2 × 10^5 and 5.3 × 10^5?
mojhsa [17]
C  is the correct answer using scientific notation Hope this helps! :D
6 0
3 years ago
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