For the function f(x,y)=3x^2+3x−4y^2+3x-4y+3, find a unit tangent vector to the level curve at the point (3,1) that has a positive x component. Round your numbers to four decimal places. (17/353,-8/353 )

Answer: 64

There is 1 favorable outcome out of 36 possible but more likely 64 is the answer

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Each cube has 8 outcomes: 1 to 8

So in total there will be:

Answer:

Numbers are 29 and 34

Step-by-step explanation:

Let x = one number

let y = second number

x + y = 63

x - y = 5

substitution method, x = 5 + y

5 + y + y = 63

2y + 5 = 63

2y = 58

y = 29

Find value of x:  x - 29 = 5

x = 34

Answer:

11.4

Step-by-step explanation:

Answer:

11.4 lbs of potatoes total

Step-by-step explanation:

$5.58 red potatoes

$4.68 yellow potatoes

$0.90 per pound

5.58 / 0.90 = 6.2 lbs

4.68 / 0.90 = 5.2 lbs

5.2 + 6.2 = 11.4

Answer:

x = 12.48

Step-by-step explanation:

Simplifying

12(x + -13) = 13(12 + -1x)

Reorder the terms:

12(-13 + x) = 13(12 + -1x)

(-13 * 12 + x * 12) = 13(12 + -1x)

(-156 + 12x) = 13(12 + -1x)

-156 + 12x = (12 * 13 + -1x * 13)

-156 + 12x = (156 + -13x)

Solving

-156 + 12x = 156 + -13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '13x' to each side of the equation.

-156 + 12x + 13x = 156 + -13x + 13x

Combine like terms: 12x + 13x = 25x

-156 + 25x = 156 + -13x + 13x

Combine like terms: -13x + 13x = 0

-156 + 25x = 156 + 0

-156 + 25x = 156

Add '156' to each side of the equation.

-156 + 156 + 25x = 156 + 156

Combine like terms: -156 + 156 = 0

0 + 25x = 156 + 156

25x = 156 + 156

Combine like terms: 156 + 156 = 312

25x = 312

Divide each side by '25'.

x = 12.48

Simplifying

x = 12.48

Answer:

x=72±2180313=72±21803√13

Step-by-step explanation:

1. I based my decision on allocating points to maximize my own score, while also considering the potential benefits of contributing to the group fund.

2. The best outcome for me would be allocating the minimum points required to the GIVE account, while putting the majority in the KEEP account. This would ensure I receive the most points for myself.

3. The best outcome for the group would be if both participants maximized their contributions to the GIVE account. This would create the largest group fund, resulting in the most redistributed points and highest average score.

4. There are parallels with risk management strategies. Individuals may act in their own self-interest, but a larger group benefit could be achieved if more participants contributed to "group" risk management strategies like vaccination, safety protocols, insurance policies, etc. However, some individuals may free ride on others' contributions while benefiting from the overall results. Incentivizing group participation can help align individual and group interests.

Answer: 0.512

Step-by-step explanation:

256/32=8

8*(0.4)^3=

8*0.064=0.512

y=0.512

The value of y is 0.8 when x is 256.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Given that,

x is directly proportional to the cube of y.

Implies that,

x ∝ y³

Or x = k . y³        (1)

Here, k is a constant.

Substitute x = 32 and y = 0.4 in equation (1),

32 = k (0.4)³
32 = k (64/1000)

k = 1000/2

k = 500

To find the value of y when x = 256 and k = 500,

From equation (1)

256 = 500 y³

y³ = 256 / 500

y³ = 64/ 125

y = 4/5

y = 0.8

The required value of y is 0.8 when x = 256.

To know more about Algebra on:

https://brainly.com/question/24875240

#SPJ2

Answer:

$10 owed for lunch.

Step-by-step explanation:

"asset" means to benefit, so the question is asking which one of these is not benefiting his net worth. he has $15 and $25 in savings, these both benefit him. he also has a $50 rare baseball card this also benefits him. the only one that takes away money is the money he owes for lunch.

Answer:

its the last one

Step-by-step explanation:

Answer:

2 1/24=49/24

Step-by-step explanation:

Answer:

6q+4q²

Step-by-step explanation:

3q+3q+4q²

All you have to do is combine like terms(CLT)

3q+3q=6q

You can't combine 6q and 4q².

The end result is 6q+4q².

-hope it helps

Answer:

2q(2q+3)

Step-by-step explanation:

y=-5/3x+7 is the equation of the line that passes through the point (3, 2) and has a slope of - 5/3​.

What is the Slope of the Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of the line in the coordinate plane.

The slope-intercept form of a line is y=mx+b, where m is the slope-intercept the y-intercept slope, and b is the y-intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find  the equation of the line that passes through the point (3, 2) and has a slope of - 5/3​

m=-5/3.

We need to find the y-intercept passing through (3,2)

2=-5/3(3)+b

2+5=b

7=b

Hence, y=-5/3x+7 is y-intercept the equation of the line that passes through the point (3, 2) and has a slope of - 5/3​.

87.39 + 5.25 - 15

$77.64

Answer:

no, because both muffins are different sizes, meaning that if a friend ate 2/3 of a small muffin than that would be different

The missing digit (x) in the pattern is 3 in the second column and 4 in the fourth row. The completed pattern is as follows:

3 2 4 8

7 2 1 3

8 4 3 5

4 3 6 9

To find the missing digit (x) in the given pattern, let's examine the columns and rows to identify any patterns.

Looking at the columns, we can see that the digits in the second column are increasing by 1 each time: 2, 4, x, 3. Therefore, the missing digit (x) must be 2 + 1 = 3.

Similarly, observing the rows, we notice that the digits in the fourth row are decreasing by 1 each time: 8, 5, x, 9. Thus, the missing digit (x) must be 5 - 1 = 4.

Therefore, the missing digit (x) in the pattern is 3 in the second column and 4 in the fourth row. The completed pattern is as follows:

3 2 4 8

7 2 1 3

8 4 3 5

4 3 6 9

Learn more about pattern at https://brainly.com/question/28580633

#SPJ1

Answer:

3.35.

Step-by-step explanation:

very simple!

We have that, using the Chinese remainder theorem, the number of things is 23

There are certain things whose number is unknown. When divided by 3, the remainder is 2; when divided by 5, the remainder is 3; when dividing by 7, the remainder is 2. To solve this problem, we will have to use the Chinese Remainder Theorem.

It establishes that: Let m1, m2, …, mk be coprime integers greater than 1, and let a1, a2, …, ak be any integers. So, the system of simultaneous congruences:

x ≡ a1 (mod m1)x ≡ a2 (mod m2)…x ≡ ak (mod mk)

It has a unique solution modulo M = m1m2…mk.

The Chinese Remainder Theorem implies that there is only one solution of the system of three congruences such that 0 ≤ x < 3 x 5 x 7 = 105. Using the Chinese Remainder Theorem, we obtain that x ≡ 23 (mod 105). Therefore, the number of things is 23.

See more information about the Chinese remainder theorem at: https://brainly.com/question/30806123

#SPJ11

5 over 11 as a decimal is approximately 0.454545... (the pattern repeats indefinitely).

What is long division method?

Long division is a method of dividing two numbers using a step-by-step process of dividing the dividend (the number being divided) by the divisor (the number doing the dividing), and then finding the quotient (the answer to the division problem) and the remainder (any left-over amount that cannot be divided evenly).

To convert 5 over 11 to a decimal using long division, we will divide 5 by 11 as follows:

0.45   <-- quotient

---------

11| 5.00   <-- dividend

   0     <-- 11 goes into 5 zero times, so we add a decimal and a zero

---------

   50    <-- we bring down the next digit (zero)

  44     <-- we find the largest multiple of 11 that is less than or equal to 50, which is 44

  --     <-- we subtract 44 from 50 to get 6

  60     <-- we bring down the next digit (zero)

  55     <-- we find the largest multiple of 11 that is less than or equal to 60, which is 55

  --     <-- we subtract 55 from 60 to get 5

  50     <-- we bring down the next digit (zero)

  44     <-- we find the largest multiple of 11 that is less than or equal to 50, which is 44

  --     <-- we subtract 44 from 50 to get 6

  ...    <-- the pattern repeats indefinitely

Therefore, 5 over 11 as a decimal is approximately 0.454545... (the pattern repeats indefinitely)

To learn more about Long division from given link.

https://brainly.com/question/3935316

#SPJ1

Answer:

answers 930 ok I hope it help

Antonia will have to wait 42 days before she gets to do both activities on the same day again.

The smallest positive integer that is a multiple of both 6 and 7 is the least common multiple (LCM) of 6 and 7. This is the number of days that will pass before Antonia does both of these activities on the same day again.

We can find the LCM of 6 and 7 using the formula as follows -

LCM(6, 7) = 6 * 7 / GCD(6, 7)

where GCD is the greatest common divisor.

The GCD of 6 and 7 is 1, so we can write -

LCM(6, 7) = 6 * 7 / 1 = 42

Therefore, Antonia will have to wait 42 days before she gets to do both activities on the same day again.

Read more about LCM:

brainly.com/question/16054958

#SPJ4

Answer:

4 and then 15

Step-by-step explanation:

second one: 6:4

last one: 15:10

Therefore, the perimeter of the square is increasing at a rate of 3 * sqrt(2) inches per minute.

Let's denote the side length of the square as "s" (in inches) and the diagonal as "d" (in inches).

We know that the diagonal of a square is related to the side length by the Pythagorean theorem:

d^2 = s^2 + s^2

d^2 = 2s^2

s^2 = (1/2) * d^2

Differentiating both sides with respect to time (t), we get:

2s * ds/dt = (1/2) * 2d * dd/dt

Since we are given that dd/dt (the rate of change of the diagonal) is 3 inches per minute, we can substitute these values:

2s * ds/dt = (1/2) * 2d * 3

2s * ds/dt = 3d

Now, we need to find the relationship between the side length (s) and the area (A) of the square. Since the area of a square is given by A = s^2, we can express the side length in terms of the area:

s^2 = A

s = sqrt(A)

We are given that the area of the square is 18 square inches, so the side length is:

s = sqrt(18) = 3 * sqrt(2) inches

Substituting this value into the previous equation, we can solve for ds/dt:

2 * (3 * sqrt(2)) * ds/dt = 3 * d

Simplifying the equation:

6 * sqrt(2) * ds/dt = 3d

ds/dt = (3d) / (6 * sqrt(2))

ds/dt = d / (2 * sqrt(2))

To find the rate at which the perimeter (P) of the square is increasing, we multiply ds/dt by 4 (since the perimeter is equal to 4 times the side length):

dP/dt = 4 * ds/dt

dP/dt = 4 * (d / (2 * sqrt(2)))

dP/dt = (2d) / sqrt(2)

dP/dt = d * sqrt(2)

Since we know that the diagonal is increasing at a rate of 3 inches per minute (dd/dt = 3), we can substitute this value into the equation to find dP/dt:

dP/dt = 3 * sqrt(2)

To know more about square,

https://brainly.com/question/31589596

#SPJ11

Therefore, the radius of convergence, r, is 1.

To find the radius of convergence, we can use the ratio test. The series is given by:

\(∑ [n=1 to ∞] ((-1)^n * n^5 * x^n) / (7^n)\)

Applying the ratio test, we evaluate the limit:

\(lim (n→∞) |((-1)^(n+1) * (n+1)^5 * x^(n+1)) / (7^(n+1))| / |((-1)^n * n^5 * x^n) / (7^n)|\)

Simplifying the expression, we have:

\(lim (n→∞) |(-1)^(n+1) * (n+1)^5 * x^(n+1) * 7^n| / |((-1)^n * n^5 * x^n) * 7^(n+1)|\)

Taking the absolute values and canceling common terms, we get:

\(lim (n→∞) |(n+1)^5 * x^(n+1)| / |n^5 * x^n * 7|\)

Next, we can simplify the expression further:

\(lim (n→∞) |(n+1)^5 * x| / |n^5 * x^n * 7|\)

As n approaches infinity, the dominant term in the numerator and denominator is n^5, so we can disregard the other terms:

\(lim (n→∞) |(n+1)^5 * x| / |n^5|\)

The limit can be evaluated as:

\(lim (n→∞) |(1 + 1/n)^5 * x|\)

Since we want the limit to be less than 1 for convergence, we have:

\(|(1 + 1/n)^5 * x| < 1\)

Taking the absolute value, we get:

\((1 + 1/n)^5 * |x| < 1\)

As n approaches infinity, the term \((1 + 1/n)^5\) approaches 1, so we are left with:

|x| < 1

This means that the series converges for values of x within the interval (-1, 1).

To know more about convergence,

https://brainly.com/question/32264778

#SPJ11

Answer:

Triangle y = 7

Triangle x = -3

Slope = - 7/3

Step-by-step explanation:

Formula:

slope (or m) = (y2 - y1)/(x2 - x1)

Plug numbers into formula

m = 8 - 1 / 4 - 7

m = 7 / -3

Cannot be simplified further

Slope = - 7/3

The triangle before y is asking for the difference, meaning what number do you get after taking y2 (8 in this problem) and subtracting y1 (1 in this problem) from it.

8 - 1 = 7 which forms the numerator for our slope

The same goes for the triangle before x. Find the difference

x2 - x1 = 4 - 7 = -3. This forms the denominator of our slope

Answer:

7 .............................

x²=6²+8²=36+64=100 <=> x=√100=10

The largest area you can enclose with 20 meters of fencing against a long, straight wall is 50 square meters. Itcan be found using optimization methods.

Step 1: Define the variables
Let x be the length of the fencing parallel to the wall and y be the length of the fencing perpendicular to the wall.
Step 2: Set up the constraint equation
Since you have 20 meters of fencing, the sum of x and 2y (both sides perpendicular to the wall) should equal 20. The constraint equation is:x + 2y = 20
Step 3: Express one variable in terms of the other
Solve the constraint equation for one variable. In this case, solve for x: x = 20 - 2y

Step 4: Write the area function
The area of the rectangle can be expressed as A = xy. Substitute x from the previous step into this equation: A(y) = (20 - 2y)y.

Step 5: Find the critical points
Differentiate the area function with respect to y and set it to zero to find the critical points: dA/dy = 20 - 4y = 0, Solve for y:4y = 20, y = 5
Step 6: Find the corresponding value for x
Plug the value of y back into the equation for x: x = 20 - 2(5), x = 10

Step 7: Check for maximum area
The critical point we found (x=10, y=5) is indeed a maximum since the second derivative of the area function is negative.Step 8: State the largest area
The largest area you can enclose with 20 meters of fencing against a long, straight wall is A = xy = 10 * 5 = 50 square meters.

To know more about area click here

brainly.com/question/9318577

#SPJ11

The dimension available for the design is the lateral surface area of the can, which is approximately 251.33 square centimeters.

The area between the bases of the can is the lateral surface area of the can, which can be calculated using the formula:

Lateral surface area = 2 x π x r x h

where π is the mathematical constant pi (approximately 3.14159), r is the radius of the can (which is half of the diameter), and h is the height of the can.

In this case, the height of the can is given as 9.4 centimeters, and the diameter (and hence the radius) is given as 8.5/2 = 4.25 centimeters.

Plugging in these values, we get:

Lateral surface area = 2 x π x 4.25 cm x 9.4 cm

= 251.327 square centimeters

Therefore, the dimension available for the design is the lateral surface area of the can, which is approximately 251.33 square centimeters.

To learn more about dimension, click here:

https://brainly.com/question/29581656

#SPJ11

The probability of at least one card being a heart is 0.546 or approximately 54.6%.

To solve this problem, we can use the concept of complementary probability, which states that the probability of an event happening is equal to one minus the probability of the event not happening.

The probability of not getting a heart on the first draw is 39/52, since there are 39 non-heart cards out of a total of 52 cards. The same probability applies to the second draw, as the card is replaced. Therefore, the probability of not getting a heart on both draws is (39/52) x (39/52) = 0.454.

Using the complementary probability concept, the probability of at least one card being a heart is 1 - 0.454 = 0.546 or approximately 54.6%.

This means that if we were to repeat this experiment many times, we would expect to get at least one heart card in more than half of the trials.

To learn more about probability click on,

https://brainly.com/question/30874104

#SPJ1

Answer:

B

Step-by-step explanation:

In the equation it states there is a one-time fee charge so we would add this when writing it in an expression. Since the expressions is: T = 15n + 12; and the only number being added is 12, we can assume the number 12 represents the service fee cost.

Answer:

8 is the maximum he can get.

Step-by-step explanation:

Good luck!