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Natalka [10]
3 years ago
5

In 25 minutes Li can run 10 laps around the track find the constant of proportionality

Mathematics
1 answer:
nevsk [136]3 years ago
5 0
10/25 = 2/5

Divide by 5 to get simplest form
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6 faces of a rectangular prism
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3 years ago
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A type of plant is introduced into an ecosystem and quickly begins to take over. A scientist counts the number of plants after m
Artyom0805 [142]

With no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

<h3>What is an exponential function?</h3>

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

A type of plant is introduced into an ecosystem and quickly begins to take over.

A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,

p(m)=19.3(1089)^m

Most recently, the scientist counted 138 plants.

138=19.3(1089)^m\\(1089)^m=7.15

Taking log both sides of the equation,

\log(1.089)^m=\log7.15\\m\log(1.089)=\log(7.15)\\m=\dfrac{\log7.15}{\log(1.089)}\\m\approx23.1

Thus, with no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Learn more about the exponential function here;

brainly.com/question/15602982

5 0
2 years ago
How can we find the measure of an exterior angle if we know the measurement of an interior angle
Alik [6]

Step-by-step explanation:

Put the interior angle equal to 180.


It would look something like this:

x+45=180

-45     -45

180-45= 135 so the exterior angle would be 135!

3 0
3 years ago
Please help me in this question.
snow_lady [41]

Answer:

Step-by-step explanation:

(i) Area of ABCD = (base1+base2)*height/2

                           = (6+12)*4/2 = 36 cm2

(ii) Volume = Area of ABCD * length = 36 * 25 = 900 cm3

(iii) Total SA = Area of ABCD *2 + 25*5*2 + 6*25 + 12*25

                    = 72                         + 250      + 150   + 300

                    = 772cm2

3 0
3 years ago
What value of x makes this equation true? x/3 −6=10
Setler [38]

Answer:

48

Step-by-step explanation:

x/3 - 6 = 10

      +6   +6

x/3=16

16*3=48

5 0
3 years ago
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