To find dy/dt, we need to differentiate the equation Y³ = 2x² + 6 with respect to t using implicit differentiation.
Taking the derivative of both sides with respect to t, we have:
3Y² * dY/dt = 4x * dx/dt
We are given dx/dt = 2 and x = 1. Substituting these values, we get:
3Y² * dY/dt = 4 * 1 * 2
Simplifying further:
3Y² * dY/dt = 8
Now, we need to find the value of Y. From the given equation, Y³ = 2x² + 6, we substitute x = 1:
Y³ = 2(1)² + 6
Y³ = 2 + 6
Y³ = 8
Taking the cube root of both sides, we find Y = 2.
Substituting Y = 2 into the previous equation, we have:
3(2)² * dY/dt = 8
Simplifying further:
12 * dY/dt = 8
Dividing both sides by 12:
dY/dt = 8/12
Simplifying:
dY/dt = 2/3
Therefore, dy/dt = 2/3 (rounded to two decimal places).
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Find x. This is not drawn to scale.
H
150°
GX 54°
J
E
Are
F
Answer:
48°
Step-by-step explanation:
We solve the above question using circle theorem.
Finding x
The formula is given as
x = 1/2 (150° - 54°)
x = 1/2 (96)°
x = 48°
can I get a solution
[tex] \sqrt{x - 1} - 3 = 0[/tex]
is this solution correct or not can you please give me the following steps for this solution by solving for x if possible
Answer:
I don't think it is correct.
Step-by-step explanation:
Square root just means half of a number. If you square this number, it just goes back to it's original form, just without the square root sign. But however, You must square the 10 at the end of the equation as well. This solution is not correct.
Luba walked 5 miles in 1 1/2 hours. How fast did she walk in miles per hour?
A. 2/15 miles per hour
B. 9/10 miles per hour
C. 2 3/4 miles per hour
D. 3 1/3 miles per hour
Answer:
c or d sorry if I'm wrong
Step-by-step explanation:
I think it's your d because of the shortest answers and they're the only two that makes sense
Find the radius of the circle.
6(x – 3)2 + 6(y + 7)2 = 216
Answer:
radius=6
Step-by-step explanation:
Find the length of the missing side of the triangle to the nearest tenth.
Answer:
a = 18.8
Step-by-step explanation:
With it being a right angle, you can use the pythagorean theorem equation.
[tex]a^{2} + b^{2} =c^{2} \\a^{2} + 18^{2} =26^{2} \\a^{2} +324 = 676\\a^{2} = 676 - 324 \\a^{2} = 352\\a = \sqrt{352} \\a = 18.76 = 18.8[/tex]
Solve the linear programming problem. What is the maximum value of z ? Maximize Select the correct choice below and fill in any answer boxes present in your z=10x+10y choice. Subject to
6x+6y≥102
14x−11y≥88
x+y≤42
x,y≥0
We get two solutions where x = 22 and y = 20 and x = 42 and
y = 0 with the objective function value being 420.
Here we are given the objective function to be
z=10x+10y
The constraints given are
6x + 6y ≥ 102
14x − 11y ≥ 88
x + y ≤ 42
Now if we plot the points in a graph we will now have to shade the easible region.
Clearly for the constraint 6x + 6y ≥ 102,
the shaded region would be away from the origin.
similarly for the constraint 14x − 11y ≥ 88,
the shaded region will be away from the origin.
and for the last constraint, x + y ≤ 42
this will be similar to the objective function and the shaded region will be towards the origin.
Hence we obtain the blue shaded feasible region.
Marking the corner points as A, B, C and D we get
point coordinates objective function value
A (11,6) 110 + 60 = 170
B (17,0) 170 + 0 = 170
C (22,20) 220 + 200 = 420
D (42,0) 420 + 0 = 420
Hence we get two solutions where x = 22 and y = 20 and x = 42 and
y = 0 with the objective function value being 420.
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1. Determine the value of y for y = x -2
x 9 -1 5 -7 3
y ? ? ? ? ?
Please help! (It's called functional relationships by the way) Will mark brainliest (If you send any cutt or tyink links that are scams, I WILL REPORT YOU SO DON'T ANSWER IF U DON'T KNOW!!!!!!!)
Answer: The answer is 3
Step-by-step explanation:
Hope this helps you! Have a good day! :)
A square stained-glass window has an area of 4 feet2 what is the perimeter of the window
The degree of precision of a quadrature formula whose error term is 27" (T) is: 22 5 2 3
The degree of precision of a quadrature formula with an error term of 27" (T) is 2.
To understand why the degree of precision is 2, let's first define what the degree of precision means in the context of quadrature formulas. The degree of precision refers to the highest power of x up to which the formula can integrate exactly. In other words, if a quadrature formula has a degree of precision of 2, it means that the formula can integrate exactly all polynomials of degree 2 or lower.
Now, to determine the degree of precision based on the given error term of 27" (T), we need to consider the approximation error. The error term T represents the maximum absolute difference between the exact integral and the approximate integral obtained using the quadrature formula.
In this case, the error term is given as 27" (T). The presence of the quotation mark (") indicates that the error term is measured in arc seconds. This suggests that the error is related to numerical integration over angles or circular arcs.
Since the error term is specified as 27" (T), we can conclude that the error is proportional to the square of the step size used in the quadrature formula. Therefore, the error term is of the order h^2, where h represents the step size.
Since the error term is of order h^2, it implies that the degree of precision is 2. This means that the quadrature formula can provide an exact result for polynomials of degree 2 or lower.
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Assume that f(0) = 1 and f(0) = 0, then 2 {0}} is dt2 A. s-F(s) – s. B. (s – 1)2F(s – 1) - (s – 1). C. (s2 – 1)F(s) – s +1. D. sF(s – 1) - 5-1. E. (s – 1)F(s – 1) – s. (IX) The Existence and Uniqueness Theorem, guarantees that one of the differential equations has a unique solution passing through the point (2, 4) A. (y – 2x)y = =r+y. B. y' = (y – 4)2/3 C. y' = (y – 4)1/3 D. cos(y - 4)y' = x. E. y'= Vy - 4.
The (s - 1)2F(s - 1) - (s - 1) option matches the given function (option B).
Let's go through the options one by one to determine the correct answer.
Option A: s-F(s) - s
This option doesn't match the given function.
Option B: (s - 1)2F(s - 1) - (s - 1)
This option matches the given function.
Option C: (s2 - 1)F(s) - s + 1
This option doesn't match the given function.
Option D: sF(s - 1) - 5 - 1
This option doesn't match the given function.
Option E: (s - 1)F(s - 1) - s
This option doesn't match the given function.
Based on the given function, the correct answer is Option B: (s - 1)2F(s - 1) - (s - 1).
Regarding the second question, the Existence and Uniqueness Theorem guarantees the existence and uniqueness of a solution passing through a given point (x0, y0) only if the function is continuous and satisfies certain conditions. None of the provided options mention the function's continuity or satisfy the conditions for the Existence and Uniqueness Theorem. Therefore, none of the options can be determined as having a unique solution passing through the point (2, 4).
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Which of the following functions is graphed below?
Answer:
B:y=|x+2| -3
The graph shows the points throughout the equation
-PLEASE SOLVE-
I think the answer is 4 but I’m not sure!! PLEASE HELPP!
Answer:
4) -3
Step-by-step explanation:
The minimum y value of this absolute value function is -3
What is the length of AC
A)72
B)8
C)None of these
D)136
E)132
F)96
Suppose a conic section passes through the point (2, - 7). If the conic section has focus ( - 1, -3), directrix 2 = 3, then it is a ellipse parabola hyperbola cannot be determined.
The conic section has focus ( - 1, -3), directrix 2 = 3, then it is a parabola.
How to find if the conic section is a ellipse parabola hyperbola?For a parabola, the focus and directrix play important roles in determining its shape. The distance between a point on the parabola and the focus is equal to the perpendicular distance between that point and the directrix.
Let's calculate the distances and verify if they are equal:
Distance between the point (2, -7) and the focus (-1, -3):
d₁ = √[(2 - (-1))² + (-7 - (-3))²] = √[9 + 16] = √25 = 5
Distance between the point (2, -7) and the directrix 2 = 3:
d₂ = |y - directrix| = |(-7) - 3| = |-10| = 10
Since d₁ ≠ d₂, we can conclude that the conic section cannot be an ellipse.
In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. However, in this case, the distances are not equal.
Similarly, for a hyperbola, the difference between the distances from any point on the hyperbola to the two foci is constant. Since the distances are not equal in this case, we can also rule out a hyperbola.
Therefore, based on the given information, the conic section is a parabola.
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The slope of AB of problem 7 is
Answer:
Slope of line is 0 and intercept is 7 Step-by-step explanation:
please help please!!!
I think the anwser is c -2 and 9
Use the drop-down menus below to represent the solution to the system of the two linear equations shown on the graph. The graph's x-axis ranges from negative 10 to 10, and the y-axis ranges from negative 10 to 10. The solution to the system of equations is ( , ). Question 2 Part B Which statement is true about the point that represents the solution to the system of the two linear equations shown above? A The point is the solution because it represents a point of intersection with the $x$ -axis. B The point is the solution because it represents a point of intersection with the $y$ -axis. C The point is the solution because it is the only point that satisfies both equations simultaneously. D The point is the solution because it is one of several points that satisfies both equations simultaneously.
Answer:
is D
Step-by-step explanation:
because it just makes more sense and my teacher told me the answer
The cellphone Luke wants to buy is on sale for 15% off the original price. It was originally priced at $150. What is the amount of the discount?
Question 1
Find mZN
620
K
N
Need help with this question?
Answer:
∠ N = 31°
Step-by-step explanation:
The inscribed angle KLN is half the measure of its intercepted arc KL, so
∠ N = [tex]\frac{1}{2}[/tex] × 62° = 31°
let θ be an angle in quadrant iii such that = cos θ − 4 5 . find the exact values of csc θ and tan θ
Let θ be an angle in quadrant iii such that = cosθ − 45, the exact values of csc θ and tan θ are 5/3 and -3/4 respectively.
As an angle θ is in quadrant III, and cosθ = -4/5
To identify the exact value of cscθ and tanθ, we will first calculate the value of sinθ by using the Pythagorean identity
sin²θ + cos²θ = 1
⇒ sin²θ + (-4/5)² = 1
⇒ sin²θ = 1 - (-4/5)² = 1 - 16/25 = 9/25
⇒ sinθ = √(9/25) = 3/5
Now, we can calculate the value of cscθ as
cscθ = 1/sinθ = 1/(3/5) = 5/3
Next, we can estimate the value of tanθ by using the identity
tanθ = sinθ/cosθ= (3/5) / (-4/5) = -3/4
Therefore, the exact values of cscθ and tanθ are
cscθ = 5/3 and tanθ = -3/4.
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You arder eighteen borritos to go from a Mexican restaurant, nine with hot peppers and nine without. However, the restaurant forget to be them. If you ve buite stranicom, find the probability of the given event
Answer : The probability of the given event occurring would be 0.75 or 75%.
Explanation :The given problem states that you ordered eighteen burritos, with nine having hot peppers and nine not having hot peppers. However, the restaurant forgot your order. We are supposed to find the probability of the event happening.
Let the probability of getting a burrito with hot peppers be P(h) and the probability of getting a burrito without hot peppers be P(n).
The total number of burritos ordered is 18.
Thus, P(h) + P(n) = 18. We can assume that all burritos are the same.
Thus, P(h) = 9/18 = 0.5 and P(n) = 9/18 = 0.5.
Therefore, the probability of getting an order that is incorrect would be: 1 - (0.5 * 0.5) = 1 - 0.25 = 0.75 or 75%. Therefore, the probability of the given event occurring would be 0.75 or 75%.
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A drug company testing a pain medication wants to know the impact of different dosages on patients' pain levels. They recruited volunteers experiencing pain to try one of 666 different dosages and then rate their pain levels on a scale of 111 to 101010. Here are the results: Average pain level 6.06.06, point, 0 5.85.85, point, 8 5.25.25, point, 2 4.94.94, point, 9 3.93.93, point, 9 3.63.63, point, 6 3.53.53, point, 5 Dosage (mg) 000 505050 100100100 150150150 200200200 250250250 300300300 All of the scatter plots below display the data correctly, but which one of them displays the data best?
Answer: Graph A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Correct on khan
Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height. Radius = 8, Height = 3.
Answer:
V = 603.19 unit^3
or
V = 192π unit^3
Step-by-step explanation:
V = πr^2 *h
V = π(8)^2 *3
V = 603.19 unit^3
or
V = 192π unit^3
Answer:
603.186^3
Step-by-step explanation:
v = πR2 · h
π8^2 x 3
= 603.186^3
JT bisects AJH and the measure of MJT is four times that of TJH. If the measures of MJT is 120 find the measure of MJA.
MJH = 120
Let TJH = x
You’re told MJT is 4 times TJH
So you have 4x + x = 120
Simplify: 5x = 120
Divide both sides by 5:
X = 24
TJH = x = 24 degrees.
JT is a bisector so both TJH and TJA are the same. So TJA is also 24 degrees
So MJA = 120 - 24 - 24 = 72
MJA = 72 degrees
Answer
34MJT
Step-by-step explanation:
did it on edge
At a certain time of day, the angle of elevation is 40°. To the nearest foot, find the height of a tree whose shadow is 31 feet long.
Answer: Height of tree = 26 ft
Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.
Base = AC = 31
Perpendicular = CB = ?
Hypotenuse = AB
Using trigonometric equation
tan 40 (deg) = CB / AC
CB = Tan 40 x AC
CB = 0.83909 x 31
CB = 26.011
Thus the height of the tree = 26 ft
Calculate the total surface area of the pyramid. Show your work!
Answer: 22.44
Step-by-step explanation:
Base × Height /2 → (3 × 2.24)/2
3.36 · 4 = 13.44
13.44 + 3²
22.44
the same
2. When graphing a system of equations with no solution, the y-intercept of the lines would be?
Answer:
not telling u, imbecil
Step-by-step explanation:
hahhahahahah
help me pleaseeeeeee
Answer:
Step-by-step explanation:
-6*p ---> -6*5=-30
23 - 25<---5*5
p is 5
-30 - (-2)=-28
Determine the number of centimeters in 2 inches.
Answer:
5
Step-by-step explanation:
Answer:
5 centimeters
Step-by-step explanation:
You have to look at where it says 2 inches, and follow the line up to where the red stops and see how many centimeters it crosses
A piece of blue yarn is 8 3/10 yards long. A piece of pink yarn is 4 times as long as the blue yarn. What is the total length of the blue and pink yarn
Answer:
41.5 Yards
Step-by-step explanation:8 3/10 * 4 = 33.2,
33.2+8 3/10 = 41.5