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Bond [772]
3 years ago
12

Which of the following can be modeled with an exponential function? Select all that apply.

Mathematics
2 answers:
UkoKoshka [18]3 years ago
5 0

Answer:

The answer is number 2,3, and 5.

Step-by-step explanation:

bogdanovich [222]3 years ago
3 0

Answer: The answers are

(ii) The cost to attend Universal Studios increases by 1% each year,

(iii) An endangered species population is decreasing by 12% each year,

(iv) The population of a town that is growing by 5% each year.

Step-by-step explanation:  We are given five functions and we are to select those which can be modelled with an exponential function.

(i) Here, height is varying with respect to time, so it will be a linear function.

(ii) Here, the cost to attend Universal Studios is increasing by 1% every year, so this will be an exponential function.

(iii) Here, an endangered species population is decreasing by 12% each year.

So, this will also be an exponential function.

(iv) Since we are considering the distance travelled by the bicycle at a constant speed of 25 mph, so this will be a linear function.

(v) Here also the population is growing by 5% each year. So, the function will be exponential.

Thus, the correct answer is second, third and fifth.

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10 i believe

Step-by-step explanation:

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0.16 would be the answer
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A motorboat maintained a constant speed of 12 miles per hour relative to the water in going 45 miles upstream and then returning
Serggg [28]

Answer: Speed of the current is 3 miles per hour.

Step-by-step explanation:

Since we have given that

Speed of motor boat = 12 miles per hour

Distance traveled upstream = 45 miles

Let the speed of the current be x

Total time taken by upstream and downstream = 8 hours

Relative speed for downstream is given by

12+x

Relative speed for upstream is given by

12-x

According to question, we have

\frac{45}{12+x}+\frac{45}{12-x}=8\\\\\frac{45(12-x)+45(12+x)}{(12-x)(12+x)}=8\\\\\frac{45(12-x+12+x)}{144-x^2}=8\\\\\frac{24}{144-x^2}=\frac{8}{45}\\\\45\times 24=8(144-x^2)\\\\45\times 3=144-x^2\\\\135=144-x^2\\\\135-144=-x^2\\\\-9=-x^2\\\\x=\sqrt{9}=\pm3\\\\\text{But x=-3 will be igonored as speed cant be in negative}\\\\x=3\ mile\ per\ hour

Hence, Speed of the current is 3 miles per hour.

7 0
3 years ago
My question is <br><br> −5×7+9× 5<br> -------<br> 5
n200080 [17]

Answer:

2

Step-by-step:

Using PEMDAS:

(-5x7+9x5)/5

(-35+45)/5

10/5

2

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Three tennis balls are stored in a cylindrical can with
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Answer:

<u>87.9 in³</u>

Step-by-step explanation:

<u>Volume of the can</u>

  • V = πr²h [volume of a cylinder]
  • V = 3.14 x 2 x 2 x 8
  • V = 3.14 x 32
  • V = 100.48 in³

<u>Volume of 3 tennis balls</u>

  • V = 4/3πr³ [volume of one sphere]
  • V = 3 x 4/3 x 3.14 x 1³ [for 3 tennis balls]
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<u>Remaining space</u>

  • Volume of can - Volume occupied by 3 tennis balls
  • 100.48 - 12.56
  • 87.92 in³ ⇒ <u>87.9 in³</u>
3 0
2 years ago
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