Determine whether z is a function of x and y. xz^2 + 3xy - y^2 = 4 a. Yes b. NO
Answers
Answer: b. We can conclude that the given equation does not represent a function as z is not dependent on x and y.
Given equation:
xz² + 3xy - y²
= 4
To determine whether z is a function of x and y, we can rearrange the equation in terms of z.
Let's isolate z on one side of the equation.
xz² + 3xy - y²
= 4xz²
= 4 - 3xy + y²z²
= (4 - 3xy + y²)/x
Taking the square root of both sides of the equation, we get:
z = ±sqrt[(4 - 3xy + y²)/x]
Since the equation contains a ± sign, this means that we have two possible values of z for every x and y. Therefore, z is not a function of x and y.
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Related Questions
If ∠4 ≅ ∠5 then ∠5 ≅ ∠4.
Is it symmetric property of congruence or reflexive property of congruence
PLEASE HELP ME ILL MARK YOU AS BRAINLEST JUST PLEASE ITS FOR MY FINAL
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Help. 7 minutes left. Can’t find answer. Question in the picture, Thank you!
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Step-by-step explanation:
Where's the picture?
Add this first
Answer:
wait we're is the picture?
This is a Single Choice Question; skip ahead to question content
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A disinfectant spray bottle says it eliminates 90% of bacteria with each application. You apply the disinfectant once to a countertop in the shipping department and then apply the disinfectant again to the same countertop. If the bottle is correct, what percentage of the bacteria originally on the tabletop have been eliminated?
81%
90.09%
90.9%
99%
180%
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i really need help with this
Answers
calculate the slope of the line in the graphs and show your work
calculate the slope of a line that passes through (1,4) and (5,8)
Answers
Answer:
7.a) 5
7.b) 1/2
8. 1
Step-by-step explanation:
7.
a)
Read the points on the graph (0, 0) and (1, 5).
slope = (5 - 0)/(1 - 0) = 5/1 = 5
b)
read the points on the graph (0, 0) and (4, 2).
slope = (2 - 0)/(4 - 0) = 2/4 = 1/2
8.
Points (1, 4) and (5, 8)
slope = (8 - 4)/(5 - 1) = 4/4 = 1
Josue is going to invest in an account paying an interest rate of 3.1% compounded quarterly. How much would Josue need to invest, to the nearest hundred dollars, for the value of the account to reach $1,170 in 13 years?
Answers
Josue needs to invest $688.23 for the value of the account to reach $1,170 in 13 years
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
The formula for compound interest compounded quarterly is,
A = P(1 + (r/4)/100)⁴ⁿ.
Therefore, From the given information,
1170 = P(1 + (3.1/4)/100)⁶⁸.
1170 = P(1.7).
P = $688.23.
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what is 7/8 divided by 1/8
Answers
Answer:
7
Step-by-step explanation:
Concepts:
Division: a system of distributing a collection of things into equal partsFractions: #s that represent a part of a wholeDividing Fractions: dividing a fraction by another fraction = multiplying the fraction by the inverse (reciprocal) of the other oneInverse Operations: operations that are opposite of each other (e.g. inverse of addition is subtraction)Solving:
1. First, let's set up the equation:
7/8 ÷ 1/8
2. We can get the reciprocal of 1/8 by doing the opposite of division; multiplication. 1/8 becomes 1 · 8, and that's equal to 8.
3. Now, since we know dividing a fraction by another one is exactly the same as multiplying the fraction by the reciprocal of the other, let's multiply 7/8 by the inverse of 1/8, which is 8.
7/8 · 8 = 56/8 = 7
Therefore, 7/8 divided by 1/8 is equal to 7.
Explain the steps to measuring an angle using a protractor. How do you determine an angle’s measurement in degrees?
Answers
An angle is formed between two rays that are joined together at a single point ( vertex). Protractor helps to determine the measure of angle in degrees but with following the some steps of measurement.
An angle is a geometric shape formed when two rays meet at a point. A protractor is a measuring device, usually made of plastic or glass, used to measure angles. Some protractors are simple half disks or full circles. This is a protractor that helps you measure angles in degrees. Method of measuring an angle with the protractor:
Place the center of the protractor at the vertex of the angle.Fix the protractor with one arm of the angle at the base of the protractor (don't move the vertex).Look at the balance where the base arm is pointing at 0 degrees.Symbols in degrees from 0 to 180 degrees. It can be used directly to measure any angle from 0 to 360 degrees. Read the scale at the angle where the other arm passes the scale.So, using the above steps we can determine an angle’s measurement in degrees. For example if you wants to measure angle ∠ABC. Then follow the above steps and place the protactor like in figure 2. After right placement, we can easily measure the angle. Hence, the measure of angle
∠ABC is 40°.
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Obtain numerical solution of the ordinary differential equation y' = 3t−10y²
with the initial condition: y(0)= −2 by Euler method using h=0.5 Perform 3 steps.
Solution of all problems MUST contain general formula and all intermediate results. Perform numerical computations using 4 digits after decimal point.
Answers
The Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.
To solve the ODE using the Euler method, we divide the interval into smaller steps and approximate the derivative with a difference quotient. Given that the step size is h = 0.5, we will perform three steps to obtain the numerical solution.
we calculate the initial condition: y(0) = -2.
1. we evaluate the derivative at t = 0 and y = -2:
y' = 3(0) - 10(-2)² = -40
Next, we update the values using the Euler method:
t₁ = 0 + 0.5 = 0.5
y₁ = -2 + (-40) * 0.5 = -22
2. y' = 3(0.5) - 10(-22)² = -14,860
Updating the values:
t₂ = 0.5 + 0.5 = 1
y₂ = -22 + (-14,860) * 0.5 = -7492
3. y' = 3(1) - 10(-7492)² ≈ -2.2395 x 10^9
Updating the values:
t₃ = 1 + 0.5 = 1.5
y₃ = -7492 + (-2.2395 x 10^9) * 0.5 = -1.1198 x 10^9
Therefore, after performing three steps of the Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.
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The temperature in St. Louis is 31 degrees. The temperature in Duluth is -29 degrees. Is the temperature in St. Louis or Duluth closer to zero degrees?
Answers
Answer:
The temperature in Duluth is closer to zero
Step-by-step explanation:
-29,-28,-27,-26,-25,-24,-23,-22,-21,-20,-19,-18,-17,-16,-15,-14,-13,-12,-11,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31
-29<31
Answer:
Duluth
Step-by-step explanation:
The temperature in Duluth is closer to 0 degrees.
Try to think of these two numbers on a number line.
-29 degrees is 29 points away from 0 → -29 + 29 = 0
However, 31 degrees is 31 points away from 0. If you subtract Duluth's temperature from St. Louis's temperature, you get 2.
31 + (-29) = 2
Since Duluth's temperature would be exactly zero degrees and St. Louis's temperature would be two degrees from zero, Duluth is closer to zero degrees.
Hope that helps.
HELPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!
UR AMAZING
Answers
Answer:
1/
Step-by-step explanation:
1/3+1/2=5/6
1-5/6=1/6
1/
in herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to what?
Answers
In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.
THE MATCHING LAW
Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.
After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.
Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.
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Match each quadratic function given in factored form
with its equivalent standard form listed on the left.
-f(*) = (x + 2)(x - 6)
f(x) = (x - 4)(x + 3)
f(x) = (x - 12)(x 1)
f(x) = (x -3)(x + 4)
Answers
The standard form of the given quadratic equation in factored form is
(x+2) (x-6) = x²-4x-12
(x-4) (x+3) = x²-x-12
(x-12) (X+1) = x²-11x-12
(x-3) (x+4) = x²+x-12
what are quadratic equations?
A quadratic function can be defined as a function having the highest degree 2. The standard form of a quadratic function is ax²+bx+c where a and b are not equal to zero
To convert a factored quadratic function into the standard form, we first need to open the brackets by multiplying the integers. Then carry out addition or subtraction operations to obtain the equation.
f(x) = (x+2) (x-6)
x²+2x-6x-12
x²-4x-12
similarly, the standard form of equations 2,3 and 4 are :
(x²-x-12)
(x²-11x-12)
(x²+x-12)
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Answer:
B, D, A, C
Step-by-step explanation:
f(x) = (x + 2)(x – 6)
✔ B
f(x) = (x – 4)(x + 3)
✔ D
f(x) = (x – 12)(x + 1)
✔ A
f(x) = (x – 3)(x + 4)
✔ C
what is\(\frac{b-4}{6} = \frac{b}{2}\)
Answers
Answer:
b = -2
Step-by-step explanation:
1) Cross multiply the proportion, in turn, you receive 2(b-4) = 6b.
2) Simply said equation, you should have 2b - 8 = 6b.
3) Subtract the 2b from each side, effectively canceling it out on the left (original position) and resulting in 6b to become 4b (6b - 2b = 4b).
4) After you have -8 = 4b, you can divide both sides by 4, canceling out on the right (original position).
5) You are finally left with -2 = b, reversing this results in b = -2.
-2 is your answer.
Need NOW help FAST PLS . hs geometry
Answers
Hope you could get an idea from here.
Doubt clarification - use comment section.
Show that tangent at any point on the curve x = (e^t)cost, y = (e^t)sint, z=e^t makes constant angle with Z axis.
Answers
The tangent at any point on the curve x=(eᵗ)cost, y=(eᵗ)sint, z=eᵗ makes a constant angle with the Z-axis, which is equal to the arctan of the square root of 2.
To show that the tangent at any point on the curve makes a constant angle with the Z-axis, we need to show that the dot product of the tangent vector and the unit vector along the Z-axis is constant.
Let P be a point on the curve, and let t be the parameter value at P. The position vector of P is given by r(t) = (eᵗ)cost i + (eᵗ)sint j + eᵗ k.
Taking the derivative with respect to t, we get the tangent vector T(t) = ((eᵗ)cos(t) - (eᵗ)sin(t)) i + ((eᵗ)sin(t) + (eᵗ)cos(t)) j + (eᵗ) k.
The dot product of T(t) and the unit vector along the Z-axis, k/|k|, is given by:
T(t) · (k/|k|) = (eᵗ) k · (k/|k|) = eᵗ |k|/|k| = eᵗ.
Therefore, the tangent vector T(t) makes a constant angle with the Z-axis, and the angle is given by the inverse tangent of eᵗ.
Hence proved.
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A well, whose diameter is 3 m, has been dug 21 m deep and the earth dug out is used to form an embankment 4 m wide around it. Find the height of the embankment.
Answers
Answer:
31.875 m
Step-by-step explanation:
We can begin solving the problem by using the formula for the volume of a cylinder and the volume of a cone.
The volume of the well is given by the formula for the volume of a cylinder:
V = πr^2h
where r is the radius of the well (half the diameter, which is 3/2 = 1.5 m) and h is the depth of the well (21 m).
V = π(1.5)^2(21) = 42.5π m^3
The embankment is formed by the earth that was dug out of the well, and it has the shape of a cone. The volume of the cone is given by the formula:
V = 1/3 πr^2h
where r is the radius of the base of the cone (4 m) and h is the height of the embankment.
V = 1/3π(4)^2h = 4/3πh m^3
Now we know that the volume of the embankment is equal to the volume of the well:
V = 42.5π m^3 = 4/3πh m^3
Then we can solve for h by dividing both sides by 4/3π:
h = 42.5π m^3 * 3/4π = 31.875 m
So the height of the embankment is 31.875 m.
3. Solve the equation.
3(3 - 3x) = 2(x + 3) - 30
a. X= 7
b. x= 3
C. X=-7
d. x=-3
Help
Answers
Answer:
free points thx
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
Hope this helps and have a nice day :)
2/3 (3m-2) -3/4 (8m-2)
Answers
Answer:-4m+1/6
Step-by-step explanation:2/3(3m-2)-3/8(8m-2)
distribute
=(2/3(3m)+(2/3)(-2)+-6+3/2
=2m+-4/3+-6m+3/2
combine like terms:
=2m+-4/3+-6m+3/2
=(2m+-6m)+(-4/3+3/2)
=-4m+1/6
Can someone help me express this as a single fraction, i’m not sure of my answer
Answers
Answer:
3x-6/2\(\sqrt{x-1\)
Step-by-step explanation:
1. first we have to get the denominator the same, so we multiply by \(\sqrt{x-1\) to the first fraction top and bottom which leaves as with
3(x-1)/2\(\sqrt{x-1\) - 3/2\(\sqrt{x-1\)
- we can expand the numerator of the first fraction which becomes
3x-3/ 2\(\sqrt{x-1\) - 3/2\(\sqrt{x-1\)
2. we can now subtract te fraction as we have the same denominator this gives us
3x-6/2\(\sqrt{x-1\)
3. your final answer would be
3x-6/2\(\sqrt{x-1\)
{If the question asked to simplify your answer you would rationalize your answer by multiplying top and bottom by \(\sqrt{x-1\) to give you the answer of
(3x-6)\(\sqrt{x-1\)/2x-2}
Find the midpoint M of the line segment joining the points S= (-5, 1) and T = (3, -3).
M=
Answers
Answer:
The answer is (−1,−1)
Step-by-step explanation:
Hope this helps!
Sorry If I'm wrong
A company is installing a new ski lift at a height of 225
meters above the mountain, to ascend at an angle of 48
degre.
Determine the length of the rope the elevator will require
to run from the base to the top of the mountain
Answers
Answer:
4.6875
Step-by-step explanation:
225 divided by 48 = 4.6875
How many square feet of outdoor carpet will we need for this hole?
Answers
Answer:
50 [ft²].
Step-by-step explanation:
1) if the hole is shaded with green colour, then its area
2) can be calculated as sum of three small parts:
2*11+2*7+2*7=2*25=50 [ft²].
Can anyone help me ASAP!!!
Answers
Answer:
30cm
Step-by-step explanation:
15 x 2 = 30
Since it's half of a circle 15 is half of the full term.
Half and a half equal a whole, to calculate the area of the semi-circle, you would want to multiply by 2.
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
6
Step-by-step explanation:
because I think I'm right
Answer:
a^2 + b^2 = c^2
5^2 + b^2= 11^2
A school has 988 students. The average mass of a student is approximately 51kg. Estimate, to 1 significant figure, the total mass in tonnes of all students in the school.
Answers
Answer:
m ≈ 5 · 10¹ [t]
Step-by-step explanation:
First off we can simply approximate the total mass of all students, which is the average mass times the total amount of students.
\(m_{student}=51 [kg]\)
\(N_{students}=988\)
⇒ \(m_{total} = m_{student} * N_{students} = 51*988\)
⇒ m ≈ 50·1000 = 50 000 [kg]
Then, we need to bring it to one significant figure.
The amount of significant figures is the amount of digits after the first non-zero digit in whatever number you have, so for example 0.000001 and 1 both have one significant digit, but 1.00 has three. We only need one significant digit, so we just put one digit before the decimal point and then multiply that by a 10 to the power of something because that is not included in the amount of significant digits. So:
⇒ m ≈ 5 · 10 000 = 5 · 10⁴ [kg]
which, in tonnes ([1 t] = [1000 kg]) comes down to:
m ≈ 5 · 10¹ [t]
What is the probability of rolling a 6
Answers
Answer:
1/6
Step-by-step explanation:
....................................
Answer: 16.7 percent.
Step-by-step explanation: So to get a 6 when rolling a six-sided die, probability = 1 ÷ 6 = 0.167, or 16.7 percent chance. So to get two 6s when rolling two dice, probability = 1/6 × 1/6 = 1/36 = 1 ÷ 36 = 0.0278, or 2.78 percent.
Write the rule for the following situation
Johnny gets a job at enterprise rent-a-car. He has an hourly wage of $10 per hour and makes $100 for every car he rents out. Assuming he only rents out one car,
write a rule to tell how much money he can make in a day, depending on how many hours he works.
Answers
Answer:
M(t) = ($10/hr)t + $100
Step-by-step explanation:
M(t) will represent the amount of money John earns in one day as a function of the number of hours he works, assuming he only rents out one car. Then:
M(t) = ($10/hr)t + $100
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Which equation represents the graphed function?
–3x + 2 = y
–x + 2 = y
x – 3 = y
2x – 3 = y
Answers
Answer:
I don't see the answer but it is 3/2x - 3 = y
Step-by-step explanation:
did it on edge 2020
The equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3. Option E is correct.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The equation is formed by finding the slope using the coordinates ( 0,-3 ),( 2, 0 ) and ( 4, 3 ).
The slope is calculated as,
\(m = \dfrac{x_2-x_1}{y_2-y_1}\)
x₁ = 0, y₁ = -3 and x₂ = 2, y₂ = 0.
The equation is given as,
y = mx + c
y = (-3/2)x - 3
Therefore, the equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3.
The complete question is given below;-
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
Which equation represents the graphed function?
–3x + 2 = y
–x + 2 = y
x – 3 = y
2x – 3 = y
y = ( 3/ 2 ) x - 3.
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A lake has a surface area of 15.4 square miles. What is its surface area in square meters?