Answer:
[tex]y = -\frac{1}{5}x + 5[/tex]
Step-by-step explanation:
Given
[tex]5\ minutes = 4\ miles[/tex]
[tex]15\ minutes = 2\ miles[/tex]
Required
Determine the equation
y represents distance
x represents time
So, the given parameters can be modeled (x,y) as:
[tex](x_1,y_1) = (5,4)[/tex]
[tex](x_2,y_2) = (15,2)[/tex]
First, we need to determine the slope of the function.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2 - 4}{15 - 5}[/tex]
[tex]m = \frac{-2}{10}[/tex]
[tex]m = -\frac{1}{5}[/tex]
The equation can be determined using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = -\frac{1}{5}[/tex]
[tex](x_1,y_1) = (5,4)[/tex]
[tex]y - y_1 = m(x - x_1)[/tex]
becomes
[tex]y - 4 = \frac{-1}{5}(x - 5)[/tex]
Open bracket
[tex]y - 4 = -\frac{1}{5}x + 1[/tex]
Solve for y
[tex]y = -\frac{1}{5}x + 1 + 4[/tex]
[tex]y = -\frac{1}{5}x + 5[/tex]
Use Triangle ABC to find the trigonometric ratio.
tan B =
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[tex] \tan(B) = \frac{ \sin(B) }{ \cos(B) } = \frac{ \frac{8}{17} }{ \frac{15}{17} } = \frac{8}{15} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of Tan(B) will be equal to 8/15.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
The value of Tan(B) will be the ratio of the sides AC and BC. Therefore, the value of Tan(B) can be written as,
Tan(B) = AC / BC
Tan(B) = 8/15
Hence, the value of Tan(B) will be equal to 8/15.
Learn more about Tangent (Tanθ):
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HELPPPPPP!!! I NEED HELP PLEASEEEE
Answer:
A
Step-by-step explanation:
im a 100% sure it is A
tttttttt
Answer:
yes it is a
Step-by-step explanation:
hahahah i dont know how to explain this i just guessed lol
I really need help with this !!
Diragio Lawn Care cuts 42 lawns every week. Each lawn uses 316 of a tank of gas when it is cut (on average).
Part A:
If the lawnmower had no gas at the start of the week, how many times would it have to be completely filled during the week? Show your work.
Part B:
The cost for a full tank of gas in the lawnmower is $20. How much does it cost (in lawnmower fuel only) to mow one average lawn? Show
Answer:
dez nuts ha gotem
Step-by-step explanation:
boi u thought
Pls i need help is due soon
Answer:
step1
Step-by-step explanation:
Madison wants to bake 5 cakes for the church
festival. She needs 1 3/4 cups of flour and 2
1/2 cups of sugar for each cake. How much
sugar will she need for the 5 cakes?
Answer:She will need 12 and 1/2 cups of sugar
Step-by-step explanation:
Just set up a table and multiply 2 1/2 by 5 and you get 12 1/2
Solve the proportion for x.
StartFraction two-thirds over 5 EndFraction = StartFraction x over 15 EndFraction
x = 2
x = 3
x = 5
x = 10
Answer:
2
Step-by-step explanation:
had that answer on eg
Answer:
x=2
Step-by-step explanation:
What is the slope of the graph?
slope = -3
slope = -1/3
slope = 1/3
slope = 3
Answer:
the Slope is 1/3
(correct me if I'm mistaken)
Answer:
-3
Step-by-step explanation:
You go up 3 and to the left 1
What is the domain of the given relation?
{(1, 3), (0, 4), (2, 1)}
Answer:
1, 0, and 2
Step-by-step explanation:
the domain is the first number in each ordered pair.
Answer:
1, 0, 2 are the domain.
Step-by-step explanation:
All x-values are the domain and all the y-values are the range.
Hope that helps and have a great day!
Which statement is true about the ordered pair (3 , 4)?
Answer:
Move three units left on the x axis and 4 units up on the y axis from the origin
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
That is because ordered pairs are written as (x,y) and for the ordered pair (3,4), 3 is x and 4 is y. The x-axis is the horizontal (left and right) line, the y-axis is the vertical line (up and down). The numbers are positive, so you go 3 units right and 4 units up.
Which expression is equivalent to x^-5/3?
Answer:
The one you selected is true <3
Step-by-step explanation:
Answer:
The one you selected is true I agree! :D
Step-by-step explanation:
Write the coordinates of point H' after the following translation:
1) translation: 6 units left and 4 units up
Answer:
I= (-4, 2)
G= (-1,-1)
H= (-1,3)
Step-by-step explanation:
Translation of the object= 6 units left and 4 units up.
Pete bought a 16-ounce box of cereal for $3.58. What was the cost per ounce?
Answer:
Around 0.22 dollars or 22 cents
Step-by-step explanation:
We know that per 16 ounces it costs 3.58. We want the ounces to equal zero. To do that, we divide 16 by 0, but to keep it equal we need to divide 3.58 by 16. So...
16/16 = 1
3.58/16 = 0.22375
This means that every ounce of cereal, it costs 0.22375 dollars, but money can't go in the thousandths place, so we must round it to the hundredths place, which becomes 0.22 dollars, or 22 cents. I hope this helps and I hope it's not wrong but I don't think it is.
Randi shovels and salts her neighbors' driveways and walkways to earn money during the winter months in her town near the Pocono Mountains. She charges $25 dollars per hour because the amount of time she spends shoveling and salting depends on the size of the driveway and walkway.
Randi has to pay for the salt that she uses, which costs her $3.00 per job on average. She also saves $2.00 per job to cover the costs of replacement shovels as needed.
Randi's profit is the total amount of money that she collects from a snow shoveling and salting job that takes t hours minus her costs.
Randi earned a profit of $60.00 on her last snow shoveling and salting job. Write an equation that can be solved to find how many hours Randi spent shoveling and salting to earn a profit of $60.00.Write your answer in the form of an algebraic equation using the math editor. You do not have to solve the equation, but you will need to use your equation to complete the next test question.
Answer:
25t = 65
Step-by-step explanation:
Given that :
Profit earned = $60
Charge per hour = $25
Randy's cost or expenses = $(2 + 3) = $5 per job
Profit = (charge per hour * t) - cost
Where t = time
$60 = ($25 * t) - $5
$60 = $25t - $5
$25t = $65
Angela lives 0.6 mile from the park. It takes her hour to walk her dog to the park. How quickly are Angela and her dog walking in miles per hour?
Answer:
0.6 miles an hour
Step-by-step explanation:
since it takes her 0.6 miles to walk an hour and an hour to walk 0.6 miles.
0.6 = 3/5
Answer: 0.1 miles per hour
Since an hour has 6 10-minute segments, divide by 6.
0.6 ÷ 6 = 0.1
Your answer should be 0.1 miles per hour.
So, Angela and her dog are walking at 0.1 miles per hour.
Hope this helps!
1/2x + 1/2x = x + 1 Plzzz help
Answer:
this is the right answer you have.
Step-by-step explanation:
n - 4 = 3n + 6
what number does n represent?
Answer:
n = -5
Step-by-step explanation:
n - 4 = 3n + 6
n = 3n + 10
-2n = 10
n = -5
Answer:
-5
Step-by-step explanation:
Lets start by combining some common terms. -4 can be brought over to the right as +4 and 3n can be brought to the left as -3n to make the statement -3n +n = 6+4
Simplifying that, we get -2n = 10
Dividing 10 by -2, we get n = -5
Please help this fairly quick
Answer:
A) true
B) false
c) true
d) true
Step-by-step explanation:
A) angles 7 and 6 are vertical angles, which means they're equal.
so, A is True.
B) angles 7 and 5 are supplementary angles, which means they add up to 180. 135 + 55 is 190. so B is False
C) angle 7 is equal to angle 3, which is supplementary to angle 1.
so, 55 + angle 1 = 180
55 + angle1 = 180
subtract 55 from both sides of the equation
angle1 = 180 - 55
angle 1 = 125.
angles a and 4 are vertical angles, so they are equal. if you add them together that would be 125 + 125
125 + 125 = 250
so, C is True
D) angles 1 and 6 are supplementary, and angles 2 and 7. since they both add together to make 180, D is True
Ron was asked to determine whether f( x) = 1/x is even, odd, or neither
Answer:
odd
Step-by-step explanation:
PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST)
ou are traveling to Japan and need Japanese Yen (JPY). How much JPY could you get for $100 USD if the exchange rate is USD/JPY 0.9333 ?
¥99.07
¥93.33
¥100.93
Answer:
93.33
Step-by-step explanation:
You just multiply the $100 by the change rate to get the new currency
Answer:
107.15 :)
Step-by-step explanation:
You are traveling to Japan and need Japanese Yen (JPY)
We need to convert $100 USD to JPY
If conversion rate is $1USD = 0.9333JPY
The value of $1 USD is 0.9333 JPY
Let in $100 USD get x JPY
100/.9333
=107.15
What is the slope of the line that passes through the points (9,8) and -15,-16)? Write your answer in simplest form.
Answer:
m=1
Step-by-step explanation:
See the attached above.
Good luck :')
The diagram shows a cone. Given that the volume of the cone is 21 m’and the height of the cone is
12 cm. Form a quadratic equation based on the given information.
Please help me..
Answer:
I don't know really sorry friend I am so sorry I was just wondering for answers
Brad is going on a vacation with his family. He will be going through six states on his trip, but traveling only 900 miles. The vacation will last 23 days. While brad is pleased to be missing school, his teacher has asked him to write in his journal half of a page each day of his trip. How many pages would he have written by the time he gets back home
The number of pages that he would have written by the time he gets back home is 46 pages.
How to calculate the value?From the information given, the expression was illustrated that the vacation will last 23 days. While brad is pleased to be missing school, and his teacher has asked him to write in his journal half of a page each day of his trip.
The appropriate equation to represent this will be:
p = 23 / 1/2
where p = number of pages
p = 23 ÷ 1/2
p = 23 × 2
p = 46
The number of pages is 46
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A factory used 72 kg of tomatoes to make 8 batches of pasta sauce. What quantity of tomatoes did the factory put in each batch?
Answer:
9 kg in each patch
Step-by-step explanation:
because total quantity of tomatoes is 72kg and factory going to make only 8 batches of pasta sauce.therefore 72÷8=9
Evaluate 1/6 + 2/3.
3/18
5/6
1/5
1 1/6
Answer:
5/6
Step-by-step explanation:
What is the area of the trapezoid shown below
Answer:
78 units squared
Step-by-step explanation:
I think 78
What is the value of x
Answer:
x = 32 :)
Step-by-step explanation:
20+4x+x=180
5x=160
160/5=32
brainliest pls if correcto
Which statement best explains the value of 16 − (−3)?
The additive inverse of −3 is −3, so 16 − (−3) = 19.
The additive inverse of −3 is −3, so 16 − (−3) = 13.
The additive inverse of −3 is +3, so 16 − (−3) = 19.
The additive inverse of −3 is +3, so 16 − (−3) = 13.
Answer:
The additive inverse of −3 is +3, so 16 − (−3) = 19
negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units
Because it is 3 units to the left of 2 on a horizontal number line
Step-by-step explanation:
The answers are the explanation.
Comment on the second question
Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.
Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.
Comment on choosing 'word' answers
In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.
For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.
have a good day hope this helped!
Help!! An object is moving at a speed of 3 yards per month. Express this speed in
centimeters per day. Round your answer to the nearest tenth.
uhh I need help, yes ik I’m dumb
Answer:
[tex]1\frac{7}{9}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{3}[/tex] is the same as 4/3 so you'd be multiplying 4/3 x 4/3 so you multiply straight across to get 16/9 when you simplify you are left with 1 7/9
Hope that helps and have a great day!
Hi, I really need help ASAP!!!
look at the images below:
(there is 2 images per question)
Answer: C
Step-by-step explanation:
Triangle C is translated 8 units to the right of the original triangle.