answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex_Xolod [135]
2 years ago
10

The map below shows the location of 3 houses where you had to do lawn work today. Your truck gets 8 miles per gallon of gasoline

, so you chose the shortest route from your house to the jobs and then back home, as shown below. If gas costs $1.52 per gallon, what was the total cost of the gas that you used today?
Mathematics
1 answer:
ryzh [129]2 years ago
7 0

Answer:

4.18 dollars to drive 20 miles

Step-by-step explanation:

You might be interested in
Thirty-two percent of fish in a large lake are bass. Imagine scooping out a simple random sample of 15 fish from the lake and ob
klio [65]

Answer:

Thirty-two percent of fish in a large lake are bass. Imagine scooping out a simple random sample of 15 fish from the lake and observing the sample proportion of bass. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.

A.  The standard deviation is 0.8795. The 10% condition is met because it is very likely there are more than 150 bass in the lake.

B. The standard deviation is 0.8795. The 10% condition is not met because there are less than 150 bass in the lake.

C. The standard deviation is 0.1204. The 10% condition is met because it is very likely there are more than 150 bass in the lake.

D. The standard deviation is 0.1204. The 10% condition is not met because there are less than 150 bass in the lake.

E. We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 150 bass in the lake

The answer is E.

6 0
2 years ago
A sled is being held at rest on a slope that makes an angle theta with the horizontal. After the sled is released, it slides a d
Alenkasestr [34]

Answer:

μ =  Sin θ * d₁ / (d₂ - Cos θ*d₁)

d₂ = (d₁*Sin θ) / μ

Step-by-step explanation:

a) We apply The work-energy theorem

W = ΔE

W = - Ff*d

Ff = μ*N = μ*m*g

<em>Distance 1:</em>

- Ff*d₁ = Ef - Ei

⇒  - (μ*m*g*Cos θ)*d₁ = (Kf+Uf) - (Ki+Ui) = (Kf+0) - (0+Ui) = Kf - Ui

Kf = 0.5*m*vf² = 0.5*m*v²

Ui = m*g*h = m*g*d₁*Sin θ

then

- (μ*m*g*Cos θ)*d₁ = 0.5*m*v² - m*g*d₁*Sin θ  

⇒   - μ*g*Cos θ*d₁ = 0.5*v² - g*d₁*Sin θ   <em>(I)</em>

 

<em>Distance 2:</em>

<em />

- Ff*d₂ = Ef - Ei

⇒  - (μ*m*g)*d₂ = (0+0) - (Ki+0) = - Ki

Ki = 0.5*m*vi² = 0.5*m*v²

then

- (μ*m*g)*d₂ = - 0.5*m*v²

⇒   μ*g*d₂ = 0.5*v²     <em>(II)</em>

<em />

<em>If we apply (I) + (II)</em>

- μ*g*Cos θ*d₁ = 0.5*v² - g*d₁*Sin θ

μ*g*d₂ = 0.5*v²

 ⇒ μ*g (d₂ - Cos θ*d₁) = v² - g*d₁*Sin θ   <em>  (III)</em>

Applying the equation (for the distance 1) we get v:

vf² = vi² + 2*a*d = 0² + 2*(g*Sin θ)*d₁   ⇒   vf² = 2*g*Sin θ*d₁ = v²

then (from the equation <em>III</em>) we get

μ*g (d₂ - Cos θ*d₁) = 2*g*Sin θ*d₁ - g*d₁*Sin θ

⇒  μ (d₂ - Cos θ*d₁) = Sin θ * d₁

⇒   μ =  Sin θ * d₁ / (d₂ - Cos θ*d₁)

b)

If μ is a known value

d₂ = ?

We apply The work-energy theorem again

W = ΔK   ⇒   - Ff*d₂ = Kf - Ki

Ff = μ*m*g

Kf = 0

Ki = 0.5*m*v² = 0.5*m*2*g*Sin θ*d₁ = m*g*Sin θ*d₁

Finally

- μ*m*g*d₂ = 0 - m*g*Sin θ*d₁   ⇒   d₂ = Sin θ*d₁ / μ

3 0
2 years ago
On Friday there were 8 snowboarders for every 3 skiers at Slovak ski resort. On Saturday the ratio of the number of snowboarders
atroni [7]

Answer:

There are 46 more skiers than snowboarder

Step-by-step explanation:

Given

Ratio of Snowboarders to Skiers

On Friday:

Ratio = 8 : 3

On Saturday:

Ratio = 4 : 7

Population = 168

Required

Determine the difference in the number of skiers and snowboarders on Saturday

On Saturday, we have

Ratio = 4 : 7

Calculate Total

Total = 4 + 7

Total = 11

Calculate the number of skiers

Skiers = \frac{7}{11} * 168

Skiers = \frac{1176}{11}

Skiers = 107 (Approximated)

Calculate the number of snowboarders

Snowboarders = \frac{4}{11} * 168

Snowboarders = \frac{672}{11}

Snowboarders = 61 (Approximated)

Calculate the difference

Difference = 107 - 61

Difference = 46

<em>Hence, there are 46 more skiers than snowboarder</em>

6 0
2 years ago
An acute angle θ is in a right triangle with sin θ = six sevenths. What is the value of cot θ?
inysia [295]
\sin \theta =\dfrac{6}{7}\\&#10;\cot \theta=\dfrac{x}{6}\\&#10;x^2+6^2=7^2\\&#10;x^2=49-36\\&#10;x^2=13\\&#10;x=\sqrt{13}\\&#10;\boxed{\cot \theta =\dfrac{\sqrt{13}}{6}}
4 0
2 years ago
Read 2 more answers
If 6 workers paint 6 meters of a fence in 6 hours, how long will it take for 12 workers to paint 12 meters of the fence?
Kazeer [188]

Answer:

2 days & 3 hours

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni
    8·2 answers
  • A cooler has 12 apple juices and 15 grape juices. 9 of the apple juices are sugar free and 5 of the grape juices are sugar free.
    10·2 answers
  • Find the terminal point determined by t= 10pi/3.
    14·2 answers
  • Brenda’s scores on the first three of four 100-point science tests were 95, 92, and 89. What score does she need on her fourth s
    10·2 answers
  • In a recreation park a children's slide is 27 feet long and makes an able of 39 degrees with the ground. Its top is reached by a
    9·1 answer
  • Toner cartridges for the laser printer in your office cost $90 each, including tax. You receive an $8 refund for each empty cart
    9·1 answer
  • You work for a real estate development company that is trying to determine the perimeter of a lake. The company is planning to s
    13·1 answer
  • The heights of 82 roller coasters have a mean of 285.2 feet and a population standard deviation of 59.3 feet. Find the standardi
    6·1 answer
  • Raleigh went to gaming arcade for his birthday. His parents gave him $55 to spend. He purchased $14.25 in food and drinks, and p
    15·2 answers
  • We are told that the two players, taken together, scored a total of 49 points. What is the probability that player A scored firs
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!