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PtichkaEL [24]
3 years ago
9

A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute

walk? Write an equation in function notation for the situation, and then use it to solve the problem. Determine if the given statement is True or False.
The dependent variable is the number of hours.
A True B False
The function for the walker's fee is f(h) = 30h + 6.
A True B False
The dog walker charges $22.50 for a 45 minute walk.
A True B False
Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

- False

- True

- false

Step-by-step explanation:

- The variable that changes is the price

- 30 is the slope and 6 is the y-int

- 30(.75) + 6 = 28.5

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Integral Calculation
Tatiana [17]

Answer:

\frac{4}{3(e^2+1)}

Step-by-step explanation:

We want to evaluate:

\int\limits^1_{-1} {\frac{x^2+1}{e^2+1} } \, dx

This is the same as:

\frac{2}{e^2+1} \int\limits^1_{0} {x^2+1} \, dx

We integrate to obtain:

\frac{2}{e^2+1} (\frac{x^3}{3}+x)|_0^1

We evaluate to obtain:

\frac{2}{e^2+1} (\frac{1^3}{3}+1)=\frac{4}{3(e^2+1)}

8 0
3 years ago
Recent study of alcohol drinking practices among college students found that the average number of drinks per week consumed was
VashaNatasha [74]

Answer:

A

Step-by-step explanation:

Here as we can see that minimum drink a person can drink is 0 and is

(3.5-0)/2 =1.75 std deviation away from mean

which reflects that distribution;s right tail is more extended

therefore option A is correct: Distribution is right skewed

4 0
3 years ago
2. Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 1
Yuki888 [10]

The area of the walkway is 168 square feet if Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 12ft.

<h3>What is the area of the rectangle?</h3>

It is defined as the space occupied by the rectangle, which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The dimensions of the garden = 10 ft by 12 ft

Area = 10×12 = 120 square feet

The width of the walkway = 3 feet

If we create a walkway around the garden, it will be a rectangle around the garden.

So the dimensions for the bigger rectangle = (3+10+3) ft by (3+12+3) ft

Area of the bigger rectangle = 16×18 = 288 square feet

So the area of the walkway = 288 - 120 = 168 square feet

Thus, the area of the walkway is 168 square feet if Ms. Rich is creating a walkway around her rectangular garden. If the walkway will be 3 feet wide, and the garden is 10ft by 12ft.

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ1

4 0
2 years ago
64 times -7/8 minus 1/2
Vesna [10]
64 \times (- \dfrac{7}{8}) -  \dfrac{1}{2}

=-56 -  \dfrac{1}{2}

=-56\dfrac{1}{2}
3 0
3 years ago
A car with a cost price of $5200 is<br> sold at a profit of 15%. Calculate the<br> selling price
andriy [413]

Answer:

We are given the initial price of a car and we are also told that the car sold for a 15% profit which means that the price that the car was sold for is 15% more than it's initial price.  This is just a simple multiplication problem which we multiply the initial price by the total percentage plus 0.15

Sold\ Price = Initial\ Price *(Total\ Percentage+Profit\ Percentage)

Sold\ Price = \$5200*(1+0.15)

Sold\ Price = \$5200*(1.15)

Sold\ Price = \$5980

Therefore, our final answer is that the selling price was $5980

<u><em>Hope this helps! </em></u>

5 0
2 years ago
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