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3 years ago

In 33 hours, a car travels 120 miles. What is the speed of the car?

2 answers:

4 0

So a car's speed is measured in mph. To figure out the speed gone in an hour you would take the overall miles of 120 and divide it by time:
120/33=3.636 miles per hour

DaniilM [7]3 years ago

3 0

Speed = distance / time
Speed = 120 / 33
Speed = 3.64 miles per hour

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Several ordered pairs from a continuous exponential function are shown in the table.

Sunny_sXe [5.5K]

Answer:

The domain is {x : x ∈ R} , the range is {y : y > 0}

Step-by-step explanation:

* Lets explain how to solve the problem

- The general form of the continuous exponential function is

$y=a(e)^{kx}$ where a is the initial value and k is the growth factor

- We have some ordered pairs from the continuous exponential

function

- The ordered pairs are:

(0 , 4) , (1 , 5) , (2 , 6.25) , (3 , 7.8125)

- Lets substitute the values of x and y in the equation to find a , $e^{k}$

∵ $y=a(e)^{kx}$

∵ x = 0 and y = 4 ⇒ 1st ordered pair

- Substitute x and y in the equation

∴ $4=a(e)^{k(0)}$

∴ $4=a(e)^{0}$

- The value of $e^{0}$ = 1

∴ a = 4

- Substitute the value of a in the equation

∴ $y=4(e)^{kx}$

∵ x = 1 and y = 5 ⇒ 1st ordered pair

- Substitute x and y in the equation

∴ $5=4(e)^{k(1)}$

∴ $5=4(e)^{k}$

- Divide both sides by 4

∴ $e^{k}$ = 1.25

- Substitute the value of $e^{k}$ in the equation

∴ $y=4(1.25)^{x}$

- The domain of the function is all the values of x which make the

function defines

- The range is the values of y corresponding to x

∵ There is no value of x makes the function undefined

∴ The domain is all real numbers

∵ y never takes a negative value

∴ The range is all the real positive numbers

* The domain is {x : x ∈ R} , the range is {y : y > 0}

4 0

3 years ago

Read 2 more answers

Dana has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the ra

Sedaia [141]

Answer:

2hrs 40 minutes

Step-by-step explanation:

The formula for distance is expressed as:

$d=st, s=speed, t=time$

#The time taken to run:

$d=st\\\\t=d/s\\\\t_r=d/8$

#The time taken to walk:

$d=st\\\\t=d/s\\\\t_w=d/2$

#Since the distances are the same:

$d_r=8t_r,d_w=2t_w\\\\8t_r=2t_w\\\\t_r+t_w=4->t_w=4-t_r\\\\\therefore8t_r=2(4-t_r)\\\\8t_r=8-2t_r\\\\t_r=1\frac{1}{3} \hrs\\\\t_w=4-1\frac{1}{3}=2\frac{2}{3}\ hrs$

Hence, Dana spends 2hrs 40 minutes walking back

8 0

3 years ago

Becky needs the regular shade of purple for her artwork. Which ratio of red paint to blue paint will she use? How many ounces of

lord [1]

Answer: c

Step-by-step explanation: I think

8 0

3 years ago

Read 2 more answers

Just solve it for me no need to explain

riadik2000 [5.3K]

Answer: -5/21.

Step-by-step explanation:

$\frac{2}{5}*[\frac{-3}{7} +(\frac{-1}{6})]=\frac{2}{5} *(-\frac{3}{7} -\frac{1}{6}) =\frac{2}{5}*(-\frac{3*6+1*7)}{7*6} )=\frac{2}{5}*(-\frac{18+7}{42})=\frac{2}{5}*(-\frac{25}{42})=-\frac{5}{21} .$

Good luck an' have a nice day!

8 0

2 years ago

Read 2 more answers

Original price: $32 ;Markup: 12.5% ;what is Retail Price

Trava [24]

12.5% = .125
32 x .125 = 4
32 + 4 = $36

6 0

3 years ago

Read 2 more answers