Answer: 165
Step-by-step explanation:
what is the answer 6u+2(u-8) - 4
Answer:
8u - 20
Step-by-step explanation:
(1 point) For each of the following vector fields F, decide whether it is conservative or not by computing the appropriate first order partial derivatives. Type in a potential function f (that is, ∇f=F ) with f(0,0)=0. If it is not conservative, type N. A. F(x,y)=(12x+2y)i+(2x+16y)j f(x,y)= B. F(x,y)=6yi+7xj f(x,y)= C. F(x,y)=(6siny)i+(4y+6xcosy)j f(x,y)= Note: Your answers should be either expressions of x and y(e.g. " 3xy+2y "), or the letter "N"
A. To determine if the vector field F(x, y) = (12x + 2y)i + (2x + 16y)j is conservative, we need to check if its first-order partial derivatives are equal. Let's compute the partial derivatives:
∂F/∂x = 12i + 2j
∂F/∂y = 2i + 16j
Since ∂F/∂y = 2i + 16j ≠ ∂F/∂x = 12i + 2j, the vector field F is not conservative.
Therefore, the potential function f(x, y) does not exist, and we can type "N".
B. For the vector field F(x, y) = 6yi + 7xj, let's compute its partial derivatives:
∂F/∂x = 7j
∂F/∂y = 6i
Since ∂F/∂y = 6i = ∂F/∂x, the vector field F is conservative.
To find the potential function f(x, y), we integrate the x-component of F with respect to x and the y-component of F with respect to y:
f(x, y) = ∫(6yi) dx = 6xy + g(y)
f(x, y) = ∫(7xj) dy = 7xy + h(x)
To find g(y) and h(x), we use the condition f(0, 0) = 0:
f(0, 0) = 0 + g(0) = 0
g(0) = 0
Similarly,
f(0, 0) = 0 + h(0) = 0
h(0) = 0
Therefore, the potential function is f(x, y) = 6xy + 7xy = 13xy.
C. For the vector field F(x, y) = (6sin(y))i + (4y + 6xcos(y))j, let's compute its partial derivatives:
∂F/∂x = 6cos(y)i + 6cos(y)j
∂F/∂y = 6cos(y)i + (4 - 6xsin(y))j
Since ∂F/∂y = 6cos(y)i + (4 - 6xsin(y))j ≠ ∂F/∂x = 6cos(y)i + 6cos(y)j, the vector field F is not conservative.
Therefore, the potential function f(x, y) does not exist, and we can type "N".
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is 10\3 a improper fraction? Explain
Answer: Yes
Step-by-step explanation:
An improper fraction is any fraction that has a numerator that is greater than the denominator
P l e a s e h e l p~!!!!!!~!!~~~!
Answer:
A. 100
Step-by-step explanation:
Angle 1 = 40
Angles 1 and 2 are equal. Add the angles 1 and 2 together.
40+40=80
The last step is to subtract 80 from 180.
180-80=100.
∠3=100
Hope this helps!
If not, I am sorry.
it is known that the population variance equals 522. what is the sample size that needs to be taken if the desired margin of error is 4 or less with 0.95 probability?
If the intended margin of error equals 4 less than with a 0.95 probability, the sample size is 126.
The \(\alpha\) level is calculated by subtracting 1 from the confidence interval and dividing by 2.
\(\alpha\) = (1 - 0.95) ÷ 2
\(\alpha\) = 0.025
Find z inside the Z-table because it has a p-value of 1 - \(\alpha\).
So, z = 1.96 with a p-value = 1 - 0.025 = 0.975.
Now, consider that margin of error M.
M = z × (σ ÷ √n)
The standard deviation is determined as the square root of variance.
σ = √522 = 22.84
With a 0.95 probability, the sample size that requires to be accepted if the expected margin of error is 4 or less is,
The sample size of at least n, in which n is encountered when M = 4. So,
M = z × (σ ÷ √n)
4 = 1.96 × (22.84 ÷ √n)
4√n = 1.96 × 22.84
√n = (1.96 × 22.84) ÷ 4
√n = 11.1916
n = (11.1916)²
n = 125.25 ≈ 126
A sample size of at minimum 126 people is required.
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Find the eighth term of an arithmetic sequence whose fourth term is 19 and whose fifteenth is 52.
A. 40
B. 31
C. 64
D. 49
Answer:
The correct answer is actually B, 31
Step-by-step explanation:
Here is a link to a video giving an in depth explanation, just delete all of the (space)s
https://( )www.numerade( ).com/questions/find-the-( )indicated-term-( )of-each-sequence-the( )-eighth-term-of-( )the-arithmetic-( )sequence-whose-( )fourth-ter/
Test the following sequences for different types of convergence (i.e., linear, super linear, or quadratic), where n = 1, 2, 3 . . . .
Step-by-step solution
Step 1 of 5
a) To find the order of convergence of the sequence .
As,
This converges to 0 if , converges to 1 if and diverges if .
Hence, the order of convergence is linear.
To test the convergence of the sequence , we need to analyze the behavior of the sequence as n approaches infinity.
a) Sequence : The sequence converges to 0 if , converges to 1 if , and diverges if . Let's analyze the behavior of the sequence: For , we have: lim(n→∞) = lim(n→∞). Since the limit is 0, we can say that the sequence converges to 0. For , we have: lim(n→∞) = lim(n→∞). Since the limit is 1, we can say that the sequence converges to 1. For , we have: lim(n→∞) = lim(n→∞). Since the limit does not exist (approaches positive infinity), we can say that the sequence diverges.
Based on the analysis, we can conclude that the order of convergence for the sequence is linear, as it converges to 0 or 1 depending on the value of n.
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Plz Help guys with this question please!!!
5/8x2/3 tyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
5/12
Step-by-step explanation:
Find the measures of the numbered angles in the isosceles trapezoid shown below.
First, notice that since we have an isosceles trapezoid, the base angles will be equal, then:
\(\measuredangle3=60\degree\)next, we have that the angles adjacent to opposite bases are supplementary, then we can write the following equation:
\(\measuredangle2+\measuredangle3=180\)using the fact that the measure of angle 3 is 60 degrees, we can find the measure of angle 2:
\(\begin{gathered} \measuredangle2+60=180 \\ \Rightarrow\measuredangle2=180-60=120 \\ \measuredangle2=120 \end{gathered}\)then, since angles 1 and 2 are also base angles, they are equal. Therefore, the measure of the anlges is:
\(\begin{gathered} \measuredangle1=120 \\ \measuredangle2=120 \\ \measuredangle3=60 \end{gathered}\)need help ASAP !!!
\( \sqrt{26548 \times 26548} \)
Answer:
√{26548×26548}=√26548²=±26548
find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy. (note: start your answer with y
The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.
To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:
We have:
Point: (0, 1)
Slope: 5xy
We can start by integrating the slope function to find the equation of the curve:
∫(dy/dx) dx = ∫(5xy) dx
Integrating both sides:
∫dy = ∫(5xy) dx
Integrating with respect to y on the left side gives us:
y = ∫(5xy) dx
To solve this integral, we treat y as a constant and integrate with respect to x:
y = 5∫(xy) dx
Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:
y = 5 * (1/2) * x^2y + C
Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:
1 = 5 * (1/2) * (0)^2 * 1 + C
1 = C
Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:
y = 5 * (1/2) * x^2y + 1
Simplifying further, we have:
y = (5/2) * x^2y + 1
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Which is the last operation performed when evaluating (8 minus 2 x) squared + 4 for x = 3?
addition
multiplication
subtraction
applying the exponent
Answer:
Adding 4
Step-by-step explanation:
Pemdas
Answer:
Addition!
Step-by-step explanation:
Hope it helps <3
Rewrite into standard form A. 4.23 x 10^-8
B. 1.89 x 10^12
C. 6.2 x 10^-1
Pls help
pls help !!! find area
The required area of the parallelogram and pentagon is 91 unit² and 75 unit².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram = 13 × 7 = 91 unit²
Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
= 5 [1/2 × 5 × 6]
= 75 suqare units.
Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².
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A rectangular lot is 70 yards wide and 115 yards long.
Give the length and width of another rectangular lot that has the same perimeter but a larger area.
width= ____ yards
Length ____ yards
Answer: 165 in length 20 in width
Step-by-step explanation: :)
a pollster is interested in knowing which presidential candidate voters prefer in the upcoming election. in an effort to obtain this information, 1000 voters are randomly selected and asked their preference. the sample in this situation is
To help account for variability, the pollster used a simple random sample.
Sampling is the selection of a subset (a statistical sample) of people from within a statistical population in statistics, assurance, and survey procedures. the population's characteristics that were sampled. Obtaining samples that are typical of the population being researched is the objective of statisticians.
In situations where it is not practical to evaluate the complete population, sampling offers insights and is more cost-effective and time-efficient than doing so.
Each observation gives a number for one or more characteristics of certain things or people, including their size, location, color, or weight.
In survey sampling, especially in stratified sampling, ratings can be added to the results to take into consideration the sample design. The practice is guided by conclusions from statistical theory and probability theory.
Since 1000 people are randomly selected , hence we can say that the preference is simple random sample.
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Can someone help i will give i the brainly answer thing
Step-by-step explanation:
x-25= 6x-5
-5x = 20
x=-4
what is 3/4+1/2 answer
\(\huge\text{Hey there!}\)
\(\mathsf{\dfrac{3}{4} + \dfrac{1}{2}}\)
\(\mathsf{= \dfrac{3}{4} + \dfrac{1\times2}{2\times2}}\)
\(\mathsf{= \dfrac{3}{4} + \dfrac{2}{4}}\)
\(\mathsf{= \dfrac{3 + 2}{4 + 0}}\)
\(\mathsf{= \dfrac{5}{4}}\)
\(\mathsf{= 1 \dfrac{1}{4}}\)
\(\huge\text{Therefore your answer should be:}\)
\(\huge\boxed{\mathsf{\dfrac{5}{4}\ or \ 1 \dfrac{1}{4}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
The 5 owners of Mei's Restaurant remodeled their business. They bought 6 tables, 48 chairs, and 4 crystal light fixtures. The cost of these purchases was divided equally among the owners. Excluding tax, how much did each owner pay?
Answer:
$391.2 per owner
Step-by-step explanation:
find the total price of the items and divide it by five
find the length of the hypotenuse of the right triangle. leave your answer in simplest radical form. not drawn to scale.
Answer:
it need to =90
Step-by-step explanation:
Which of the following is an explanation for the higher acuity of the visual system at the fovea, relative to the periphery of the retina?
a. A foveal ganglion cell may receive information from a single photoreceptor, whereas aperipheral ganglion cell may receive information from multiple photoreceptors. b. The fovea contains only rods, which are directly connected to the ganglion cells. c. Peripheral photoreceptors are more likely to be damaged by prolonged light exposure. d. The foveal photoreceptor cells contain more photopigment per cell. e. Peripheral photoreceptors are more isolated from bipolar cells and thus require greater activation in order to provoke a visual response.
The higher acuity of the visual system at the fovea is explained by the fact that "a foveal ganglion cell may receive information from a single photoreceptor, whereas a peripheral ganglion cell may receive information from multiple photoreceptors." Thus, Option A is correct.
The fovea is the central area of the retina where visual acuity is highest. In the fovea, each ganglion cell is connected to a single cone photoreceptor, whereas in the periphery, multiple photoreceptors converge onto a single ganglion cell. This arrangement in the fovea allows for more precise and detailed vision, as each ganglion cell can convey information about a single point in the visual field.
In contrast, peripheral vision is more sensitive to changes in light and motion due to the convergence of multiple photoreceptors onto each ganglion cell, but has lower spatial resolution. Thus, the fovea plays a critical role in tasks such as reading, driving, and recognizing faces, while peripheral vision is important for detecting movement and monitoring the environment.
Option A holds true.
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Find the y-intercept for the line represented by this equation.
3x + 2y = x + y
OA) (0,0)
B) (0, 3)
C) (3,0)
D) (0, 2)
Answer:
A) (0,0)
Step-by-step explanation:
1.) graph the equation, 3x+2y = x+y
2.) the line intersects (0,0) on the coordinate plane
Which box of cereal is the better value for money?
You must show our working.
Answer:
first one is a answer me I think it is a right to me
solve the system 2 -1 5 -2 with -2 -1 . give your solution in real form. , . an ellipse with clockwise orientation 1. describe the trajectory.
The solution to the system is (7/4, -3/2). This can be solved by the concept of elimination method. It's trajectory cannot be described.
To solve the system 2x - y = 5 and -2x - y = -2, we can use elimination method to eliminate y. Subtracting the second equation from the first, we get 4x = 7, which gives us x = 7/4. Substituting this value of x into either of the equations, we can solve for y to get y = -3/4.
As for the ellipse with clockwise orientation, the question does not provide any information about an ellipse, so there is not much to say on that aspect.
To solve the system 2x - y = 5 and -2x - y = -2, we use the elimination method to eliminate y. Adding the two equations, we get:
2x - y + (-2x - y) = 5 - 2
=> 0x - 2y = 3
=> y = -3/2
Substituting this value of y into either of the equations, we can solve for x. Let's use the first equation:
2x - y = 5
2x - (-3/2) = 5
2x + 3/2 = 5
2x = 5 - 3/2
2x = 7/2
x = 7/4
Therefore, the solution to the system is (7/4, -3/2).
As for the ellipse with clockwise orientation, the question does not provide any information about its center, major or minor axis, or foci. Therefore, we cannot describe its trajectory.
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there are 5 black balls and 9 red balls in an urn. if 5 balls are drawn without replacement, what is the probability that exactly 3 black balls are drawn? express your answer as a fraction or a decimal number rounded to four decimal places.
The probability of drawing exactly 3 black balls out of 5 is 0.2846, or approximately 0.2846 rounded to four decimal places.
To find the probability of drawing exactly 3 black balls out of 5, we need to use the binomial probability formula, which is:
P(X=k) = (n choose k) * p * (1-p)ⁿ⁻ᵏ
where P(X=k) is the probability of getting k successes, n is the number of trials, p is the probability of success, and (n choose k) is the number of ways to choose k items out of n.
In this case, n = 5, k = 3, p = 5/14 (the probability of drawing a black ball on the first draw is 5/14, and this probability decreases with each subsequent draw), and (n choose k) = 5 choose 3 = 10 (the number of ways to choose 3 black balls out of 5).
Plugging these values into the formula, we get:
P(X=3) = (5 choose 3) * (5/14)³ * (9/14)²
= 10 * 0.0752 * 0.3778
= 0.2846
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Given the triangle below, what is m B, rounded to the nearest tenth?
Answer:
82.8
Step-by-step explanation:
LAW OF COSINES
b^2 = a^2 + c^2 − 2ac cos(b) formula
12^2 = 10^2 + 8^2 - 2(10)(8) cos (b) substitute and calculate
144 = 100 + 64 - 160 cos (b) add like terms
144 = 164-160 cos (b) subtract 164
- 20 = -160 cos (b) divide by -160/reduce
1/8 = cos (b) inverse cos each side
b = 82.8
HELP SOLVE I AM BEING TIMED
The conclusion sum of the measures of the angles 4, 5 and 11 is equal to 180 degrees not be accurate to the drawing.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Supplementary angles are those angles that sum up to 180 degrees
so angle 1 and 4 are supplementary angles.
Congruent angles are two or more angles that are identical to each other
so angles 10 and 1 are congruent.
angles 5 and 7 are congruent.
The three interior angles of a triangle will always have a sum of 180°.
The sum of the measures of the angles 4, 5 and 10 is equal to 180 degrees.
The sum of the measures of the angles 4, 5 and 11 is not equal to 180 degrees.
Hence, the conclusion sum of the measures of the angles 4, 5 and 11 is equal to 180 degrees not be accurate to the drawing.
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f the ratio 3x : 5y equals the ratio 7 : 11, then the ratio x : y equals what?
2.3 : 2.2
Given:3x : 5y and 7 : 11
Step-by-step solution:3x : 5y
7 : 11
To find x:
3x = 7
x = 7/3 (Bring 3 over to 7 to divide)
x = 2.3 OR 2/1/3
To find y:
5y = 11
y = 11/5 (Bring 5 over to 11 to divide)
y = 2.2 OR 2/1/5
So,
x = 2.3
y = 2.2
Therefore, the answer is:
x : y = 2.3 : 2.2
Translate the expression with rational exponents into a radical expression. Simplify if necessary.
2
(
(-343)
Answer:
-686
Step-by-step explanation:
2 x -343 = -686