Answer:
B. Yes, the constant of proportionality is 2.
Step-by-step explanation:
Given:
A linear relationship is shown in the table.
Time (hours) 2 4 6 8
Distance (miles) 4 8 12 16
Is the linear relationship also proportional? Explain.
A. No, the constant of proportionality is 2.
B. Yes, the constant of proportionality is 2.
C. No, there is no constant of proportionality.
D. Yes, there is no constant of proportionality.
Solve:
To know if a linear relationship is proportional, all we have to find out is if after we divide distance by time and if all equal the same. Ex: 4/4=1,3/3=1. As we can see all are equal to 1.
Let's see the table:
Time (hours) Distance (miles)
2 4
4 8
6 12
8 16
The formula for it is 'k=y/x'
where;
k: constant of proportionality
y and x are two quantities that are directly proportional to each other.
Also means;
y = Distance
x = Time(Hours)
Time (hours) Distance (miles)
2 4 4/2=2
4 8 8/4=2
6 12 12/6=2
8 16 16/8=2
As you see all equal to 2. It a constant. Also means that;
Yes, the linear relationship is proportional and the constant of proportionality is 2.
Answer: B. Yes, the constant of proportionality is 2.
RevyBreeze
3 1/3 + (-2 1/4) + 1 5/6 = ?
Answer: 2 11/12
Step-by-step explanation: 3 1/3+−2 1/4+1 5/6
10/3−2 1/4+1 5/6
10/3−9/4+1 5/6
13/12+1 5/6
13/12+11/6
35/12
2 11/12
Answer:
Here is the answer. hope this helps you
What is the solution?
Answer:
C that is the answer hope I helped you guys
PLEASE HELP ME, ILL BRAINLIEST YOU ill give u 30 points if you help
Answer:
[tex]x = 58[/tex]
[tex]y = 90[/tex]
Step-by-step explanation:
This is a rhombus becuase it a quadralterial and it has four right triangles, and it diagonals bisect each others so it cant be a trapezoid, and paralleolgram. and it doesnt have four right corner angles so it cant be a square or rectangle or kite.A rhombus inner angle measure is 90 degrees.
So
[tex]y = 90[/tex]
This means the upper left angle of the top triangle measure is 58 becuase triangle interior theorem.
Since a rhombus bisects angles, angle x measure 58.
PLEASEEEEE CAN SOMEONE HELP MEEE??? (iI have TWO questions PLSPLSPLSPSLPLSPLSPLSP)
3.) What happened to Patroclus at the end of yesterday's reading?
He won the battle.
He went to Mt. Olympus to talk to Zeus.
He died.
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4.Who was Agamemnon trying to persuade to come fight with him again?
Patroclus
Achilles
Odysseus
Hector
Quesuon Help
An exponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0<x<4 to the average rate for the
interval 4<x<8. What do you think will happen to the rate of change for intervals beyond x = 8? Explain.
For 0<x<4, the average rate of change will be
(Round to the nearest integer as needed. )
The slope of the straight line connecting the break's ends to the function's diagram.
For 0 < x < 4 will be -60
For 4 < x < 8 will be -31
What is meant by exponential function?The mathematical formula f (x) = [tex]$$a^{x[/tex] denotes an exponential function. a constant known as the function's base and a variable called x are present. The transcendental number e, roughly equivalent to 2.71828, is the most frequent exponential-function base.
When a positive constant other than 1 is raised to a variable exponent, the function is said to be exponential. Solving at a certain input value yields the evaluation of a function. If you know the growth rate and the starting point, you can find an exponential model.
We have to use the knowledge of functions to describe the average rates of each one of them, so:
For 0 < x < 4 will be -60
For 4 < x < 8 will be -31
It is a measurement of how much the function changed for one person on average throughout that interval. It results from the slope of the straight line connecting the break's ends to the function's diagram.
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Find the equation of the straight line with the
slope m= 1/2 and the y intercept is -1
Answer:
y = [tex]\frac{1}{2}[/tex] x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{1}{2}[/tex] and c = - 1 , then
y = [tex]\frac{1}{2}[/tex] x - 1 ← equation of line
HELP PLEASE DONT IGNORE Benny says you can write 0.000000215 as
[tex]2.15 \times {10}^{7} [/tex]
In scientific notation. Do you agree with him? Explain why or why not?
please no links and don't answer unless your gonna help
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 83 m long and 62 m wide.
Find the area of the training field. Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answe
16.67
Step-by-step explanation:
simplify.
x⁴y²/x²y*6
Answer:
x^2y^-4
Step-by-step explanation:
Answer:
i think the answer is x²y/6
please please help soon
solve for x (in an integer or two integers or simplest radical form):
-42=8-2x^3
The value of x in its simplest radical form is (25)^1/3
What are integers or radicals?When a given number is in the form of a whole number, it is said to be an integer. Thus it can not be in the form of a fraction or does not have a decimal part. Examples include: 20, 345, 10, etc.
Radical form is a type of number which is expressed with a square root. This it could give a whole number or a number with a decimal part as the final answer.
To solve for x in either as an integer or in its simplest radical form;
-42 = 8 - 2x^3
-42 - 8 = -2x^3
- 50 = -2x^3
divide through by -2 to have;
x^3 = 25
find the cube root of both sides,
x = 25^1/3
Therefore in it simplest radical form, the value of x is 25^1/3
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Yaritza is going to see a movie and is taking her 4 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $4.50 each. How much total money would Yaritza have to pay for her family if she were to buy 7 snacks for everybody to share? How much would Yaritza have to pay if she bought xx snacks for everybody to share?
Answer:
Yaritza will have to pay $83.50 dollars to go to the movies.
It will cost $31.50 for 7 snacks for her family to share.
Step-by-step explanation:
How the Earth rotates around the sun and moon?
The Earth orbits the Sun and rotates around its own axis. The Moon orbits the Earth and is held in place by the Earth’s gravity. This is why the length of a day is gradually increasing over time.
The Moon’s gravitational pull causes the tides, which is why the ocean’s water level rises and falls. The gravitational pull of the Moon also affects the Earth’s rotation by slowing it down slightly. This is why the length of a day is gradually increasing over time.
The Earth orbits the Sun and rotates around its own axis, while the Moon orbits the Earth and is held in place by the Earth’s gravity. The Moon’s gravitational pull causes the tides and affects the Earth’s rotation by slowing it down slightly, resulting in a gradual increase in the length of a day.
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The population of a city in 2010 is 50,000, and it grows by 5% each year after.
a. Write a function of f which models the population of the city' years after 2010.
b. What is the population of the city in 2017?
c. What will the population of the city be in 2020? What about in 2030?
d. By what factor does the population grow between 2010 and 2020? What about between 2020 and 2030?
a. A function that models the population of the city's years after 2010 is:
f(x) = 50,000 * (1 + 0.05)^(x-2010)
where x is the number of years after 2010.
b. The population of the city in 2017 (7 years after 2010) is:
f(2017) = 50,000 * (1 + 0.05)^7
= 65,128
c. The population of the city in 2020 (10 years after 2010) is:
f(2020) = 50,000 * (1 + 0.05)^10
= 76,923.1
The population of the city in 2030 (20 years after 2010) is:
f(2030) = 50,000 * (1 + 0.05)^20
= 129,382
d. The population in 2020 is 76,923.1, and the population in 2010 is 50,000, so the population grows by:
= 76,923.1 / 50,000
= 1.53846
The population in 2030 is 129,382, and the population in 2020 is 76,923.1, so the population grows by:
= 129,382 / 76,923.1
= 1.6859
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What is the monthly payment What is the total payment? Find the finance charge,for a $8,000 4-year loan with an APR of 3%?
Answer:
8,960.66
Step-by-step explanation:
In general, the length of the billing cycle is at least 15 days and no longer than 90 days.
The finance charge for a billing cycle is 960.66.
The new opening balance in the following billing cycle is 8,960.66.
Solve for y
A) 6
B) 6 sqrt 3
C) 4
D) 4 sqrt 3
Answer:
A) 6
Step-by-step explanation:
in a 30-60-90° Δ the ratio of side lengths is 1 : [tex]\sqrt{3}[/tex] : 2
so we can set up this proportion and cross-multiply:
[tex]\sqrt{3}[/tex] / 1 = y / 2[tex]\sqrt{3}[/tex]
y = 2[tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex] which is 2x3 or 6
Need help with school please
Answer:
x = 6
Step-by-step explanation:
The 2 angles are vertical angles and are congruent , so
11x - 14 = 7x + 10 ( subtract 7x from both sides )
4x - 14 = 10 ( add 14 to both sides )
4x = 24 ( divide both sides by 4 )
x = 6
David owns a food truck that sells tacos and burritos. He only has enough ingredients to make 87 tacos or burritos.Write an inequality that could represent the possible values for the number of tacos sold, tt, and the number of burritos sold, bb, that would satisfy the constraint.
Gracie's grandmother gave her 40 stamps.
Then, each month Gracie adds 30 stamps to her collection.
How many stamps does Gracie have after 3 months?
Enter your answer in the box.
Please answer this !!! I will give u points justttt please answer I really need help
Answer:
130
Step-by-step explanation:
If you start out with 40 stamps thanks to Garcie's grandma, than are given 30 for every month in the span of 3 months, 30 x 3 is 90, plus 40 is 130.
Answer:
i think its 130
Step-by-step explanation:
30×3 is 90 then add the 40 that the grandmother gave
3. A sample of 10 networking sites for a specific month has a mean number of visits of 26.1 and a sample standard deviation of 4.2. Find a 99% confidence interval of the population mean.
The confidence interval is (22.68,29.52).
In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts. Therefore, it can be concluded that there is a 95% probability that the true value falls within that range if a point estimate of 10.00 is produced using a statistical model with a 95% confidence interval of 9.50 - 10.50.
n = 10
x = 26.1
s = 4.2
Two-sided confidence interval :
CI = [tex](x-\frac{z*s}{\sqrt{n}},x+\frac{z*s}{\sqrt{n} } )[/tex]
= [tex](26.1-\frac{2.576*4.2}{\sqrt{10}},26.1+\frac{2.576*4.2}{\sqrt{10}} )[/tex]
= (26.1−3.42,26.1+3.42)
= (22.68,29.52)
Hence, the confidence interval is (22.68,29.52).
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What is an equation of the line that passes through the points (2, –6) and (1, -1)?
Answer:
x axis
Step-by-step explanation:
Answer:
y=-5x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-(-6))/(1-2)
m=(-1+6)/-1
m=5/-1
m=-5
y-y1=m(x-x1)
y-(-6)=-5(x-2)
y+6=-5(x-2)
y=-5x+10-6
y=-5x+4
Solve the equation for all values of x.
(8x+9)(49x^2-100)=0
Answer:
[tex]x = \frac{-9}{8} , \frac{-10}{7} , \frac{10}{7}[/tex]
Step-by-step explanation:
8x+9=0
8x=-9
[tex]x = \frac{-9}{8}[/tex]
or
[tex]49x^{2}-100 = 0[/tex]
[tex](7x)^{2} -10^{2} =0[/tex],
[tex](7x+10)(7x-10)=0[/tex]
[tex]7x+10=0, 7x-10=0[/tex]
[tex]7x=-10, 7x=10[/tex]
[tex]x=-\frac{-10}{7}[/tex], [tex]x = \frac{10}{7}[/tex]
What function f(x) has the property where f'(x) is equal to 2f(x)?
Answer:
u not get the answer
Step-by-step explanation:
Get the standard form and slope-intercept form
1. y -2 = 2/3 (x - 1)
2. y + 4 = - 4/5 (x+3)
Answer:
1. y-2=2/3(x-1) slope: y=2/3x+4/3 standard: 2x-3y=-4
Step-by-step explanation:
Select ALL the correct answers.
Consider the graph of function g below.
Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g.
-reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit
- shift down 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift right 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift left 2 units, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3
-reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit
The sequences of transformations could be applied is
reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unitshift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
From the picture we have, g(x) = -3x - 1
Parent function: f(x) = x
1) Reflect over the y-axis gives g(x) = -x
Vertically stretch by a factor of 3 gives g(x) = -3x
Shift down 1 unit gives g(x) = -3x - 1
2) Shift left 2 units: g(x) = x+2
Reflect over x-axis: g(x) = -x-2
Vertically stretch by a factor of 3 gives g(x) = -3x -6
3) Shift right 1 unit: g(x) = x-1
Reflect over the y-axis: g(x) = -x-1
Vertically stretch by a factor of 3: g(x) = -3x -3
4) Shift right 1 unit: g(x) = x-1
Reflect over the x-axis: g(x) = -x+1
Vertically stretch by a factor of 3: g(x) = -3x +3
5) Reflect over the x-axis: g(x) = -x
Vertically stretch by a factor of 3: g(x) = -3x
Shift down 1 unit: g(x) = -3x - 1
6) Shift down 1 unit: g(x) = x - 1
Reflect over the x-axis: g(x) = -x + 1
Vertically stretch by a factor of 3: g(x) = -3x + 3
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please help it's for a test Which is an x-intercept of the graph of the function y=tan(x-5 pie/6)?
Answer:
5pie/6,0
Step-by-step explanation:
i graphed it
find the value of x. No Links or scams please. Thanks!
Answer:
X=8
use sin 30 and cross multiply
Answer:
C) x=8
Step-by-step explanation:
For a 30-60-90 triangle, the hypotenuse is equal to double the length of the short side, and the longer leg is equal to the short side times the square root of 3. Therefore, x=2(4)=8
Help plis and thank you
Find the value of x in the triangle shown below
Answer:
61.31
Step-by-step explanation:
By using sinus rule
Find the median of data 1/3 3/2 1/6 1/4 2/3
Answer:
median= 1/3
Step-by-step explanation:
I need help with six and seven
Answer: Perimeters Are Shown Below
Step-by-step explanation:
6. 2 Hexagons; 1+1+1+1+1+1+1+1+1+1 OR 1 x 10
6. 3 Hexagons; 1+1+1+1+1+1+1+1+1+1+1+1+1+1 OR 1 x 14
7. 2 Pentagons; 1+1+1+1+1+1+1+1 OR 1 x 8
7. 3 Pentagons; 1+1+1+1+1+1+1+1+1+1+1 OR 1 x 11
I don't know how to do this please help me! NO LINKS!
Find the measure of an angle between 0 degrees and 360 degrees coterminal with an angle of -244 degrees in a standard position.
Answer:
To find the equivalent positive angle of a negative angle, just add 360 to it until it becomes positive and is between 0 and 360 degrees. -244 + 360 = 116.
Step-by-step explanation:
I need help on these questions please help . ignore the writing
You will always get one triangle. This is because of the Triangle Angle Sum Theorem, which states that the sum of the measures of the angles of a triangle is always 180°.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon.
The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
The inner angles of every triangle sum up to 180°, 180°, 180°, 180°. Angles in a triangle are the total (sum) of the angles at each of its three vertices.
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