Answers
A linear proportional relationship is shown by y = 3x - 7.
What is a linear relationship?We know that when we talk about a linear relationship, we mean the kind of relationship that would obey the equation of the straight line and the equation of the straight line would be y = mx + c
We have to look at the representations and see the one that actually fits into the model that have been shown above and when we look at it we can see that the y = 3x - 7.
This follows the pattern of the equation of the straight line.
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The best representation of a linear proportional relationship is the table of values
How to determine the best linear proportional relationship?From the question, we have the following parameters that can be used in our computation:
The list of options
As a general rule, the equation of a linear proportional relationship is represented as
y = kx
Where k is the constant of proportion
This means that the given equations are not proportional relationship because they do not have the form y = kx
i.e. y = 3x - 7 and y = 8x + 25 do not have the form y = kx
Also, the equation y = kx implies that the graph passes through the origin
So, the given graph is not
The equation of the table is represented as
y = Y/X * x
So, we have
y = 2/24 * x
This gives
y = x/12
The equation of the table is of the form y = kx
Hence, the solution is the table of values
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Related Questions
which of the following would be neither perpendicular nor parallel to the following equation. y=3x-7. equations: y=-1/3x-7, y=-1/3x+5, y=1/3x+6, y=3x+1
Answers
Answer:
y=1/3x+6
Step-by-step explanation:
Equations parallel to each other have the same slope so that rules out the fourth answer. Perpendicular equations have opposite and reciprocal slopes, which in this case would be [tex]\frac{-1}{3}[/tex], which rules out all of the others except for the third option.
How do I get numbers 1-20 with only using four 2's
Answers
Answer: 1-20 can be made with four 2's when you use a power on the 2's like this 2 to the power of 4 + (2 to the power of 2+2 to the power of 2)= 20
Step-by-step explanation:
Water runs into a conical tank at the rate of [tex]9ft^{3}/min.[/tex] The tank stands point down and has a height of 10 ft and a base of 5 ft. How fast is the water level rising when the water is 6 ft deep?
Answers
Answer:
[tex]\frac{1}{\pi} \frac{\text{ft}}{\text{min}}[/tex] is the rate at which the water is rising when the water is 6 ft deep.
Step-by-step explanation:
See the attached diagram that I drew to represent this problem.
To solve related rates problems, let's use the recommended steps:
Draw a diagram.Label all quantities and their rates of change.Relate all quantities in the same equation.Differentiate (implicitly) with respect to time.Use the resulting equation to answer the question in context.Step 1:I already drew the diagram; see attached image.
Step 2:I labeled the quantities we are given in the problem. h = 10 ft, and r = 5 ft. We are also told that the change in volume is 9 ft³/min; dV/dt = 9 ft³/min.
We want to find dh/dt when h = 6.
[tex]\frac{dh}{dt}\ \vert \ _h_=_6 =\ ?[/tex] Step 3:We know that we are dealing with a cone in this problem, and we are given the volume of the cone. Therefore, we can use the formula for the volume of a cone in order to relate all of the quantities in the same equation.
[tex]V=\frac{1}{3} \pi r^2 h[/tex]Since we only want the two variables, V and h, we can solve for r in terms of h and substitute this value for r in the formula.
This is because when we perform implicit differentiation, we do not have the change in r (dr/dt) but we do have dh/dt, which is what we are trying to solve for.
We know that r = 5 ft, and h = 10 ft. Therefore, we can say that [tex]\frac{r}{h}=\frac{5}{10} \rightarrow \frac{r}{h} = \frac{1}{2}[/tex]. Multiply h to both sides to solve for the variable r: [tex]r=\frac{h}{2}[/tex].
Substitute this into the volume of a cone equation:
[tex]V=\frac{1}{3} \pi(\frac{h}{2})^2 h[/tex]Simplify this equation.
[tex]V=\frac{\pi}{3}\cdot \frac{h^2}{4} \cdot h[/tex] [tex]V=\frac{\pi}{12}h^3[/tex] Step 4:Perform implicit differentiation on the volume equation.
[tex]\frac{dV}{dt} =\frac{\pi}{12}3h^2 \cdot \frac{dh}{dt}[/tex] Step 5:Substitute known values and solve for dh/dt to find the change in height, or the rise in water level, when the water is 6 ft deep (h = 6).
We know that:
[tex]\frac{dV}{dt} =9[/tex] [tex]h=6[/tex]Plug these values into the implicitly differentiated volume equation.
[tex]9=\frac{\pi}{12}3(6)^2\cdot \frac{dh}{dt}[/tex] [tex]9=\frac{3\pi}{12}\cdot 36 \cdot \frac{dh}{dt}[/tex] [tex]9=9\pi\frac{dh}{dt}[/tex] [tex]\frac{dh}{dt} =\frac{9}{9\pi}= \frac{1}{\pi}[/tex]Answering the question in context:
Since dh/dt = 1/π when h = 6 ft, we can say that the water is rising at a rate of [tex]\frac{1}{\pi} \frac{\text{ft}}{\text{min}}[/tex] when the water is 6 ft high.
Hey there!
We can create some variables to denote some of the things we are working with.
v = volume
h = height
r = radius
We know that [ dv/dt = (π/3)r²h ]. We also know that [ r/h = 5/10 = 1/2 ] which resembles the parts of a triangle.
Solution:
v = π/3*h/2²
h = πh³/(4)(3)
~Differentiate both sides
dv/dt = (3πh³/4*3)(dh/dt)
~Simplify
dh/dt = (4dv/dt)/πh²
~Use chain rule
(4)(9)/π6²
1/π
Thus, the speed of the water level rising is [ 1/π ft/min ] when the water is 6ft deep.
Best of Luck!
The sides of the square shown below have a length of
2v3
. What would be the length of a diagonal across the square?
Answers
Answer:2[tex]\sqrt{6}[/tex]because it is a 45 45 90
Step-by-step explanation:
A real estate sales agent receives a salary of $250 per week plus a commission of 2% of sales.
a. Identify the Slope m _________
b. Identify the initial value b ________________
c. Write an equation that gives the weekly income y in terms of sales x ______________.
d. What is his weekly income if the sales were $600.00?
Answers
Answer:
a. The slope m is 0.02
b. The initial value b is 250
c. y = 0.02x + 250
d. His weekly income is $262 if the sales were $600.00
Step-by-step explanation:
the form of the linear equation is y = m x + b, where
m is the slope (rate of change)b is the y-intercept (constant amount)∵ A real estate sales agent receives a salary of $250 per week
→ This is a fixed amount every week
∴ b = 250
∵ They give a commission of 2% of sales
→ This value depends on the sales (rate of change)
∵ 2% = 2 ÷ 100 = 0.02
∴ m = 0.02
a. The slope m is 0.02
b. The initial value b is 250
∵ y represents the weekly income
∵ x represents the sales
∵ m = 0.02 and b = 250
∴ The equation is y = 0.02x + 250
c. y = 0.02x + 250
∵ The sales were $600.00
∴ x = 600
→ Substitute it in the equation to find y
∵ y = 0.02(600) + 250
∴ y = 12 + 250
∴ y = 262
d. His weekly income is $262 if the sales were $600.00
Question in the picture
Answers
I will find x, so 4x-4=180, so 4x=184, so x=46
Sorry if i answered wrong I don't understand what it is asking for.
which polynomial function has a leading coefficient of 1, roots -2 and 7 with miltiplicity
1, and root 5 with multiplicity 2?
Answers
Answer:
f(x)=(x+2)(x-7)(x-5)(x-5)
Step-by-step explanation:
With the use of the roots and leading coefficient, you can easily write out the polynomial as I have above.
Answer:
f(x)= (x-7)(x-5)(x-5)((x+2)
Step-by-step explanation:
Edge answer D
√50, √8, whats the area of the triangle no picture
Answers
Answer:
Area = 10
Step-by-step explanation:
([tex]\sqrt{50}[/tex]×[tex]\sqrt{8}[/tex]) ÷ 2 = 10
Let's say you are in the market to buy a car that will cost you $20,000. Shopping around for financing, you manage to get $20,000 loan at 4% interest for 60 months. Which of the following will be the closest final cost of your car including the interest/finance charges?
Answers
Answer:
oof
Step-by-step explanation:
Is it a nonliner or a linear function
Answers
Answer:
linear, it can be solved for y
Answer:
A. Linear
Step-by-step explanation:
It's a straight line when you graph it etc. etc.
Find the value of x and y.
Answers
Answer:
Triangle= 180 degrees
180 degrees-20 degrees=140
140/2=70
Step-by-step explanation:
Hope this helps! Consider Brainiest!
What is an equivalent to -16m^2n-(-25m^2n)+(-7m^2n)
Answers
Answer:
The equivalent expression is:
[tex]-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)=2m^2n[/tex]
Step-by-step explanation:
Given the expression
[tex]-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a[/tex]
[tex]=-16m^2n+25m^2n-7m^2n[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-16m^2n+25m^2n-7m^2n=2m^2n[/tex]
[tex]=2m^2n[/tex]
Therefore, the equivalent expression is:
[tex]-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)=2m^2n[/tex]
Vector Calculus
A particle of mass m move along the path σ(t)={t^2,sin t, cos t} Calculate the force acting on the particle t=0.
Answers
It seems like σ(t) is the positive function of the particle. Compute its acceleration by differentiating this function twice.
σ(t) = {t ², sin(t ), cos(t )}
σ'(t) = {2t, cos(t ), -sin(t )}
σ''(t) = {2, -sin(t ), -cos(t )}
When t = 0, the acceleration on the particle is
σ'' (0) = {2, -sin(0), -cos(0)} = {2, 0, -1}
Then the force acting on the particle at time t = 0 is
F = {2m, 0, -m}
by Newton's second law.
A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer or acceptance in a graduate degree program in their major area of study. In a sample of 227 recent graduates this was true of 209 of them. The probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is about:________
a. 0.015
b. 0.001
c. 0.131
d, 0.084
Answers
Answer:
The probability is [tex]P( p < 0.9207) = 0.0012556[/tex]
Step-by-step explanation:
From the question we are told
The population proportion is [tex]p = 0.96[/tex]
The sample size is [tex]n = 227[/tex]
The number of graduate who had job is k = 209
Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is
[tex]\mu_x = p = 0.96[/tex]
Generally the standard deviation of this sampling distribution is
[tex]\sigma = \sqrt{\frac{p (1 - p )}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }[/tex]
=> [tex]\sigma = 0.0130[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = \frac{209}{227}[/tex]
=> [tex]\^ p = 0.9207[/tex]
Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as
[tex]P( p < 0.9207) = P( \frac{\^ p - p }{\sigma } < \frac{0.9207 - 0.96}{0.0130 } )[/tex]
[tex]\frac{\^ p - p}{\sigma } = Z (The \ standardized \ value\ of \ \^ p )[/tex]
[tex]P( p < 0.9207) = P(Z< -3.022 )[/tex]
From the z table the area under the normal curve to the left corresponding to -3.022 is
[tex]P(Z< -3.022 ) = 0.0012556[/tex]
=> [tex]P( p < 0.9207) = 0.0012556[/tex]
-46 − 8x > 22.
A. x -8.5 D. x > 8.5
Answers
Answer:
x < -8.5
Step-by-step explanation:
-46 - 8x > 22
-8x > 68 -- when you divide by a negative number in an inequality, you flip the inequality sign
Therefore, x < -8.5
Find the 11th term of the geometric sequence 7,35, 175, ...
Answers
Answer:
68,359,375. Using a calculator, you can multiply each new number by 5.
11th term of the given geometric sequence is [tex]a_{n}= 7(5^{n-1})[/tex]
What is Geometric sequence?In a Geometric Sequence each term is found by multiplying the previous term by a constant.
Given geometric sequence = 7,35,175,..
Nth term of the geometric sequence [tex]a_{n}=a_{1}.r^{n-1}[/tex]
[tex]a_{1}=7[/tex]
[tex]r=\frac{35}{7}=5[/tex]
Nth term of the geometric sequence
[tex]a_{n}= 7(5^{n-1})[/tex]
Hence, the Nth term of the given geometric sequence is [tex]a_{n}= 7(5^{n-1})[/tex]
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solve for h: -2/3h-4=4/3
Answers
Isolate the variable by dividing each side by factors that don't contain the variable.
h = −8
Find the value of X.
Answers
Answer:
x = 9
Step-By-Step Explanation:
1. 3x + 5 + 6x + 4 = 90
2. 9x + 9 = 90
3. 9 + -9
4. 90 + -9
5. 9x = 81
6. x= 9 Substituting X:
3 X 9 + 5 = 27 + 5 = 32
6 X 9 + 4 = 54 + 4 = 58 58 + 32 = 90, so X = 9
Answer:
Step-by-step explanation:
The reason I say the answer above is wrong is because their answer equals up to a angle of 100 degrees however your angle is equaling up to 90 degrees. First off we know this angle is going to be 90 degrees right so we put it into the eqution:
=90
but we don't know what x is in order to solve the degrees that add up to 90, so since these equations add up to 90 we put them into the equation:
(3x + 5)+ (6x + 4) = 90
we then add all the numbers that have the same variables or are simply numbers in the equation
3x + 6x and 5 + 4 to get 9x + 9 = 90
we then subtract 9 from both sides (because what you do to one side you do to the other) to get 81
the equation now looks like this: 9x = 81 so now we divide 9 from both sides to get x = 9
Now how do we know if x is really 9 well we plug it into the equations (3x + 5) and (6x + 4) making them look like this (3(9) + 5) and (6(9) + 4)
and you get (3(9) + 5)= 32
(6(9) + 4)= 58
and when you add them together you get 90
32 + 58 = 90
Sorry it took so long to answer back. I hope this helps you
which strategy demonstrates the correct use of properties of operations to evaluate 5×( -7÷ 1/8)
Answers
the answer to the equation is -280
does kageyama get an award? for like best setter?
Answers
Answer:
of course.
he's the king of the court
Answer:
He's a great setter but he never gets an award like Oikawa does...
Step-by-step explanation:
*spoiler*
-
-
-
-
buuut he does get accepted to the Japan Youth Training camp where only elites go (Ushijima when there) ;)
Use the distributive property to rewrite the expression: 1.5(2x-20) WILL MAKE BRAINLISTT
Answers
Answer:
-60...make me brainlistt
Step-by-step explanation:
A customer/member owes $11.02 and pays $100.00 in cash. Change due is $88.98.
Answers
Answer:
Correct
Step-by-step explanation:
7=6-4, +4r
Please help
Answers
Answer:
R=5/4
Or
R=1.25
Step-by-step explanation:
You paint of a wall in hour. At that rate, how long will it take you to paint one wall? pls help now
Answers
Answer:
3/4 hour
Step-by-step explanation:
Type your number answer in decimal form. Do not round.
3,000 millimeters = meters.
Answers
Answer: 3.0 meters
Step-by-step explanation:
3000 millimetres is the same as 3 meters.
3 as a decimal is the same as 3.0
katie is planting a garden for her science fair project. she needs 2/3 of a cup of soil to go in 8 different pots.how many cups of total does she need in total
Answers
Answer:
5 and 1/3 cups of soil
Step-by-step explanation:
Hello there, in this problem we can solve for the amount of soil that Katie will need by multiplying the factor for one of them by the number of pots we have, 8. We get 16/3 cups of soil, or 5 and 1/3 cups of soil.
Hope this helps!
-HM
Answer:
Katie need 5.6 cups of soil.
Step-by-step explanation:
To solve this equation, we just need to multiply 8 by 2/3. Though to make this equation easier, I will turn 2/3 into a decimal by dividing the numerator (2) by the denominator (3.)
2 ÷ 3 = 0.7 when rounded to the nearest tenth.
Now, let's multiply 0.7 by 8.
8 x 0.8 = 5.6
Therefore, Katie need 5.6 cups of soil.
Hope this helps! :)
What is the DOMAIN of this graph? Need help!!
Answers
Sorry if it’s wrong
An apartment of the same square footage today is $716 unfurnished making a cost of living increase of 44.69%. If Della and Jim's apartment was $32 per month with furnishings included and they signed a lease for 13 months, what is the total weekly cost in 1905?
Answers
An apartment of the same square footage today is $716 unfurnished making a cost of living increase of 44.69%. If Della and Jim's apartment was $32 per month with furnishings included and they signed a lease for 13 months, what is the total weekly cost in 1905? Answer: $1340.80
I'm using system of equations and I have to use either substitution or elimination. My two equations are
2x - 6y = 13
8x - 24y = 8
Answers
Larry fills his bathtub at a constant rate. The amount of water in his tub is proportional to the amount of time he spends filling it. This relationship is described in the following graph:
Answers
Answer:
7 but im not sure
Step-by-step explanation:
Answer:
its A and B
Step-by-step explanation:
Do NOT hit none of the above, that's wrong