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stiks02 [169]
2 years ago
13

At noon (12:00), Annette rented a bicycle to travel around Stanley Park. She returned the bicycle at 4:00 pm (16:00) the same da

y after travelling 48 km. It cost $22 to rent the bicycle.
a. Determine Annette’s average speed in km/hr.


b. Determine the rental rate in dollars per hour. Round your answer to 2 decimal places.


c. Determine the rental rate in dollars per km. Round your answer to 2 decimal places.
Mathematics
1 answer:
Doss [256]2 years ago
6 0

Answer:

a. average speed is 12km/hr

b. $5.50 dollars per hour

c. $0.46 per km

Step-by-step explanation:

a. 48km/4hrs = 12km/hr

b. $22/4hrs = $5.50/hr

c. $22/48km = $0.45833/km rounded to $0.46/km

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must a function that is decreasing over a given interval always be negative over that same interval explain
kolbaska11 [484]

check the picture below.


notice, a function that is decreasing, namely  have a negative slope, doesn't have to be negative.

8 0
2 years ago
Read 2 more answers
If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal
Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that 2x^2+y^2=17

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

4x+2yy'=0

2x+yy'=0

yy'=-2x

y'=-\frac{2x}{y}

Again differentiate w.r.t.x

Then , we get

2+(y')^2+yy''=0 (u\cdot v)'=u'v+v'u)

2+(y')^2+yy''=0

Using value of y'

yy''=-2-(-\frac{2x}{y})^2

y''=-\frac{2+(-\frac{2x}{y})^2}{y}

Substitute x=2 and y=3

Then, we get y''=-\frac{2+(\frac{4}{3})^2}{3}

y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}

Hence,y''=-1.26

6 0
2 years ago
Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. The results in the screen disp
e-lub [12.9K]

Answer:

D. is the correct answer, hope this helps!


4 0
2 years ago
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A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can
kozerog [31]

Answer: Our required model is n=1250000(1.15)^t

Step-by-step explanation:

Since we have given that

Number of toys = 1,250,00

Every year is expected to increase by about 150% pr year.

So, initial value = 1250,000

Rate of change = 150%

Let the number of time = t years.

So, we will use "Compound interest":

n=P(1+\dfrac{r}{100})^t\\\\n=1250000(1+\dfrac{150}{100})^t\\\\n=1250000(1+1.50)^t\\\\n=1250000(1.15)^t

Hence, our required model is n=1250000(1.15)^t

6 0
2 years ago
Read 2 more answers
Felipe planted some seeds for a science project. One of his plants grew 6 2/7 inches in the first week, and then it grew 5 11/14
MatroZZZ [7]

Answer:

<em>The plant grew </em>12\frac{1}{14}<em> inches</em>

Step-by-step explanation:

<u>Operations with Fractions</u>

Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.

We are required to find the total growth during the two weeks. We have to find the sum of:

6\frac{2}{7}+5\frac{11}{14}

Let's convert both fractions to improper form:

6\frac{2}{7}+5\frac{11}{14}=6+\frac{2}{7}+5+\frac{11}{14}

Adding the integers:

6\frac{2}{7}+5\frac{11}{14}=11+\frac{2}{7}+\frac{11}{14}

Now we find the LCM of 7 and 14 is 14, thus:

6\frac{2}{7}+5\frac{11}{14}=11+\frac{4}{14}+\frac{11}{14}

6\frac{2}{7}+5\frac{11}{14}=11+\frac{15}{14}=11+\frac{14+1}{14}

6\frac{2}{7}+5\frac{11}{14}=11+1+\frac{1}{14}

6\frac{2}{7}+5\frac{11}{14}=12+\frac{1}{14}

Rewriting as a mixed number:

The plant grew 12\frac{1}{14} inches

8 0
2 years ago
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