Calculate The Constant of Proportionality (k) and Write an Equation for the line in the Graph Below:
Answers
Answer:
k = ½
Equation => [tex] y = \frac{1}{2}x [/tex]
Step-by-step explanation:
Constant of proportionality (k) = y/x
Using a point on the graph, (6, 3),
k = y/x = 3/6 = ½
k = ½
Equation of the line:
Plug in the value of k into [tex] y = kx [/tex] (slope-intercept form of equation for proportional relationship)
Thus:
[tex] y = \frac{1}{2}x [/tex]
Related Questions
A rational number is defined as a number that can be expressed in the form p/q, where p and q are integers and (a) q = 0 (b) q = 1 (c) q ≠ 1 (d) q ≠ 0
Answers
Answer:
your answer is (d) which is q is not equal to 0
What do the parts of expression 48s represent?
Answers
48 represents the price of scarf
what's ordered pairs of 2x+6y=24
Answers
Answer:
There are infinitely many ordered pairs. The coordinates of each of the infinite number of points on the straight line defined by 2x + 6y = 24 (or equivalently, 3y = -x + 12) is an ordered pair that satisfies the requirements.
Step-by-step explanation:
Write the following Arithmetic Sequence using a Recursive Formula: an = -5 + 2(n – 1)
Answers
Given:
[tex]a_n=-5+2(n-1)[/tex]
To find:
The arithmetic sequence using a Recursive Formula.
Solution:
We have,
[tex]a_n=-5+2(n-1)[/tex] ...(i)
The explicit formula of an AP is
[tex]a_n=a_1+(n-1)d[/tex] ...(ii)
where, a₁ is first term and d is common difference.
From (i) and (ii), we get
[tex]a_1=-5,d=2[/tex]
Now, the recursive formula of an AP is
[tex]a_n=a_{n-1}+d[/tex]
Putting d=2, we get
[tex]a_n=a_{n-1}+2[/tex]
Therefore, the arithmetic sequence using a Recursive Formula is defined as [tex]a_n=a_{n-1}+2[/tex], where n>2 and [tex]a_1=-5[/tex].
What is the length of the altitude of the equilateral triangle below?
Answers
Answer:
B
Step-by-step explanation:
The shortcuts for a 30 60 90 triangle is that the:
Hypotenuse is 2 times the short leg
The long leg is √3 times the short leg.
Making it 3 √3
Another way is by the Pythagorean Theorem.
a^2+b^2=c^2
3^2+b^2=6^2
9+b^2=36
Subtract 9 from both sides
b^2=27
Square root both sides
b=5.2 or the √27
√27 can be simplified more
An equation that equals to 27 that has a perfect square is 9*3
√9* √3
The perfect square of 9 equals to 3
So 3 √3
Alex counted to 2400 by 6's beginning with 6. Matthew counted to 2400 by 4's starting with 4. How many of the numbers counted by Alex were also counted by Matthew?
Answers
Answer: 200
Step-by-step explanation:
Number of numbers counted by Alex;
= 2,400 / 6
= 400
Number of numbers counted by Matthew;
= 2,400/4
= 600
Numbers that both of them counted = 600 - 400
= 200
ILL MARK AS BRAINLESS
Answers
Answer:
i think it is length hopefully that's correct
Answer:
The correct answer ie length and also distance but distance is not there so stick with length
Step-by-step explanation:
Yard is basically we are trying to figure out how wide it is which is like the length and distnace think of it as running for example if a person is jogging around a park we will say they ran 6 yards.Hope this helps!!
help pleaseeee lol !!!
Answers
30/5=6
60/10=6
90/15=6
Can someone Help me pls !!!!
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
hope this helps
HELP PLEASE WITH MY ASSIGNMENT
Answers
Michael has a substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off his debt. He constructs the expression to represent the size of his debt after months. Which number describes the value of his signing bonus?
Answers
Answer:
Solution in photo
Step-by-step explanation:
Write the following inequality in slope-intercept form.
12x - y > 17
Write your answer with y first, followed by an inequality symbol. Use integers, proper
fractions, and improper fractions in simplest form.
Answers
Answer:
y < 12x - 17
Step-by-step explanation:
The slope-intercept form is generally represented as;
y = mx + c
where m is the slope and c is the y-intercept
Thus, we have in this case ;
12x-17 > y
flipping this , we have ;
y < 12x - 17
Tabitha started working at a coffee shop making $8.75 per hour. Every 6 months, she gets a $0.40 cents raise.
a. Write a formula to represent her hourly wage after each raise.
b. Find her hourly wage at 3yrs.
Answers
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Tabitha started working at a coffee shop making $8.75 per hour and that every 6 months, she gets a $0.40 cents raise.
a. The formula to represent her hourly wage after each raise would be:
= $8.75 + 0.40m
where m = period of 6 months
b. Find her hourly wage at 3yrs.
First we should note that 3 years = 3 × 12 = 36 months. Therefore, we would have 6 periods in 36 months since there's an increase every 6 months.
Therefore, using the formula
= $8.75 + 0.40m
where m = 6
= $8.75 + 0.40(6)
= $8.75 + $2.40
= $11.15
What is the equation of the line parallel to y = 9x - 5 passing through (1, 5)
Answers
Y = 9x + b
5 = 9 + b, b = -4
Equation: y = 9x - 4
Answer:
y=9x+50
Step-by-step explanation:
tell me if im wrong
......................
Answers
Answer:
C i think
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and
determine the common difference / ratio in simplest form.
16, 8, 4, ...
Answers
geometric: multiplication; uses common ratio
Given that: this sequence uses multiplication and the numbers are multiplied by 1/2
Solution: Geometric; common ratio: 1/2
20. A bathtub, in the shape of a rectangular
prism, measures 8 feet long by 3 feet wide by
2 feet deep. If the tub fills at a rate of 5 cubic
feet per minute, then how many minutes will it
take to fill the bathtub?
Answers
Answer:
V = lwh
V = 3*8*2
V = 48
48/5 = 9.6
9.6 mins to fill the tub
Step-by-step explanation:
The temperature is 8° Fahrenheit. If the weatherman predicts the
temperature will drop 12° within the next eight hours, what will the
temperature be?
Answers
Answer:
-4 degrees Farenheit
Step-by-step explanation:
8-12=-4
What biotic factors do the organisms in Movile Cave rely on?
Answers
Answer:
Step-by-step explanation:
Trees or grasses may be growing around the entrance of the cave, and there might possibly be rocks around the side as well.
The most common plants in caves usually grow in the most moist parts and they are:
- Mosses (small flowerless plants that usually grow in dense green clumps or mats, in damp or shady locations)
- Ferns (flowerless plant that has feathery or leafy fronds and reproduces by spores released from the undersides of the fronds. Ferns have a vascular system for the transport of water and nutrients.)
- Liverworts (small flowerless green plant with leaf like stems or lobed leaves, occurring in moist habitats. Liverworts lack true roots and reproduce by means of spores released from capsules.)
These species can live at the entrance zone or in the twilight zone.
If you go into the twilight zone, cyanobacteria (a bacteria that has chlorophyll) causes all the rocks facing the entrance to be a shade of green.
All cave animals and organisms fit into three categories. Placement into these categories depends on how much time the organisms actually spends in the cave.
The first type are known as Trogloxenes. You can think of trogloxenes as cave vistors. They come and go at will, but use the cave for specific parts of their life cycle (hibernation, giving birth, etc.) Although it spends specific parts of their life in the cave, it will never spend a complete life cycle in the cave. Examples of animals that are trogloxenes are:
-Bats
-Bears
-Skunks
-Raccoon
-Moths (sometimes)
Troglophiles are the next level. These are organisms that survive outside the cave, but may prefer to live outside of it. They leave the cave only in search for food. A troglophiles can chose to live its entire life either inside or outside of a cave. Some examples of trogphiles are:
-Beetles
-Worms
-Frogs
-Salamanders
-Crickets
-Spiders
-Crayfish (sometimes)
Troglobites are animals that live in the cave but do not come out. They often have physical adaptions to the cave life like no vision, or loss pigment because light does not reach this part of the cave. Examples would be
-Snails that have thin white shells and small eyes
-Blind cave fish which has no eyes and no color
-Kauai Cave Wolf Spider which also has no eyes.
Bats are not true troglobites because they only use the cave for sleep, hiding and reproduction. There is about 50 000 troglobites in the world.
A bats habitat and niche would be inside of a cave, in the Twilight zone. The twilight zone is located in the middle of the cave, where some sunlight reaches. Because the bats aren’t so far back in the cave they would be able to leave the cave easy at night, in order to catch their prey, but aren’t so close to the front that they can’t sleep during the day because of the sunlight.
One way for food to get into the cave is through natural weather events such as a flood. Excess rainwater washes leaves, twigs, plants, etc. into a cave. This brings in food for insects and other animals. Another way food enters a cave is simply through animals, they bring it in. If times get hard in the cave, the organisms living in it can feed on each other. An example would be listed below which is how some centipedes grow large enough to feed on bats. Another source of food is guano.
A bakery has been selling out of their most popular type of cookie. For that cookie, the bakers decide to bake their usual 300 cookies plus 120 extra. Each pan they bake holds 18 cookies.
Which equation can we use to find p, the number of pans of cookies, the bakers will need to bake?
Answers
Answer:
300+120=420divied by 18=?
Step-by-step explanation:
Answer: 23 R 6
Step-by-step explanation:
So 300 + 120 = 420 then divide by 18 which is 23 R 6
What type of linear association does the graph show?
Answers
Answer:
I think strong positive
Step-by-step explanation:
.......
9x²+12xy+4y²???PLEASE HURRY 15 POINTS~
Answers
Answer:
(3x+2y)²
Step-by-step explanation:
sorry for typing tyy i thought it said free points :/
Answer:
I need points100 POINTS! (50 split ug a balance. You get these three measurements:
Trial 1: 167.0 g
Trial 2: 166.9 g
Trial 3: 167.2 g
You know that the true mass of the apple is 172 g. Describe your results in terms of precision and accuracy. Explain your answer in a paragraph for the best grade.
Step-by-step explanation:n
Which polynomial represents the area of the rectangle?
a. 3x2+2x−5
b. 3x2−5
c. 3x2−2x−5
d. 3x2−8x−5
Answers
This is the correct answer according to k12
Answer:
the person above me is right
Step-by-step explanation:
Write 2x + y = 17 in slope-intercept form.
Answers
y = -2x + 17
Step-by-step explanation:
Slope / gradient of a line is obtained by making an equation in the form of:
y=mx+c
where ' m ' gives the slope/gradient of the line and ' c ' gives y-intercept.
2x+y=17
y = −2x+17
Here comparing this with y=mx+c gives:
m = -2 (slope/gradient) and
c = 17 (y-intercept)
So slope / gradient of line :
m=−2
Architectural Designers is creating a schematic for a bridge over the Columbia River whose arch is in the shape of a parabola. The road, 40 feet above the river surface, represents the directrix of the parabolic arch. The focus of the parabolic arch is located 20 feet above the river surface. In the schematic, the river surface will be positioned along the x-axis and the axis of symmetry for the downward opening parabolic arch will be positioned along the y-axis. Which equation best models the parabolic arch in the schematic?
Answers
Answer:c
Step-by-step explanation:
A and D are incorrect just by the fact that they dont open downward(arch) B. Is also incorrect because the y intercept 10 doesn’t include the focus point 20 also u can use this calculator called parabola calculator to pin point focus and directive just in case u want to check my answer. C is most correct because it has intercept 30 including focus point 20...(SHOUT OUT TO ILT)
quick easy one to do!! 15pts
Answers
Answer:
34
Step-by-step explanation:
90-56=34
Answer:
Step-by-step explanation:
K=34
Hope it helps
And I’m only in 6th grade
And i smart ÙwÚ
If i spen 4/5 of an hour on homework. I spend 1/2 of that time on science homework. How many minutes do i spend on science
Answers
Answer:
24 minutes
Step-by-step explanation:
4/5 of an hour is 48 minutes so 48 minutes divided by 2 is 24 minutes
Answer 24 min b c if you have 4/5 of an hour it would be 48 min then half of 48 is 24 minutes
Step-by-step explanation:
can i please have brainliest
What is x, the distance between points A and A'? 2.4 units 4.8 units 13.6 units 14.4 units
Answers
Answer: the answer is 13.6 units
Step-by-step explanation:
Answer:
C. 13.6 units
Step-by-step explanation:
i took the quiz on edge
URGENT PLS HELP: Lines m and n are perpendicular. Which of the following statements are true regarding lines m and n? select two that apply.
Answers
Answer:
1 and 2
Step-by-step explanation:
the annual rent of a house is RS. 9600 Find the property text due in the owner at the rate of 15 percent per annum