Find the line integral of f(x,y)=ye x 2
along the curve r(t)=4ti−3tj,−1≤t≤1. The integral of f is

Answer:

35 :)

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

D = Divide

M = Multiply

S = Subtract

B = Bring down

By the concept of vertically opposite angles, m∠MDH = 44°.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know, Pair of vertically opposite angles are equal.

Therefore, 2y + 130 = 3y + 127.

y = 3.

So, 2y + 130 = 136°

Again, ∠PDG = ∠MDH.

Now, 2∠PDG = 360° - 2(136°)

2∠PDG = 360° - 272°.

∠PDG = 44° = ∠MDH.

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Answer:

0.149> 0.128

Step-by-step explanation:

Hope this helps!

I Hope This Helps You

Answer:

I need help to sooo yeah

Step-by-step explanation:

Soryy

The hypergeometric probability function is based on the counting rule for combinations.

This rule states that if you have two sets of items, with one set containing n1 items and the other containing n2 items, the number of possible combination of r items that can be taken from the two sets is equal to n1+n2 choose n1. This means that you have to select n1 items from the first set, then n2 items from the second set. This function is used in probability calculations to determine the probability of selecting a certain number of items from one set, given a certain number of items from the other set. It is also used to calculate the probability of a certain event occurring when items are randomly selected from two sets.

The hypergeometric probability function can be used to calculate the probability of drawing a certain number of items from a given set. It can also be used to calculate the probability of a certain event occurring. For example, if you are playing a game where you draw 5 balls out of a bag of 20, you can use the hypergeometric probability function to calculate the probability of drawing a certain number of balls from the bag.

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Answer:

answer is b (36/7)

Step-by-step explanation:

Answer:

  36/23

Step-by-step explanation:

You want the value of y in the solution to the system of equations ...

Since we only want the y-value, it is convenient to eliminate x using substitution. The second equation gives an expression for x that can be used in the first equation:

  5(5 -3/2y) -4y = 7

  25 -15/2y -4y = 7 . . . . eliminate parentheses

  50 -15y -8y = 14 . . . . . multiply by 2 to eliminate fractions

  36 = 23y . . . . . . . . . . . add 23y-14

  y = 36/23 . . . . . . . . . . divide by 23

The probability of having exactly 2 girls and 3 boys (in that order) is (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/32.

To find the probability of having exactly 2 girls and 3 boys (in that order), we need to consider that each child has an independent probability of being a boy or a girl, which is 1/2 for each. Since we want exactly 2 girls and 3 boys, the probability can be calculated by multiplying the probabilities of having a girl and a boy five times in a row, resulting in (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/32.

For the probability of having at least one boy, we can consider the complement event, which is the probability of having all girls. The probability of having all girls can be calculated by multiplying the probability of having a girl five times, which is (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/32. Therefore, the probability of having at least one boy is 1 - 1/32 = 31/32.

In conclusion, the probability of having exactly 2 girls and 3 boys (in that order) is 1/32, and the probability of having at least one boy is 31/32.

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Answer:

x=28 bottom left angle is 60, bottom right is 70

Step-by-step explanation:

the angles add up to 180

lets set up an equation

x+32+x+42+50=180

2x+124=180

2x=56

x=28

Answer:

62.5% or 63%

5 ÷ 8 = 0.625

0.625 = 62.5% or 63%

Answer:

Same situation as before, thanks for points.

Step-by-step explanation:

Step-by-step explanation:

are this form 1 question???

Answer: C

Step-by-step explanation: a^2 + b^2 = c^2

A. 6^2 + 8^2 = 10^2

B. 12^2 + 35^2 = 37^2

C. 4^2 + 6^2 does not equal 10^2.....(16 + 36 = 52   10^2 = 100)

D. 10^2 + 24^2 = 26^2

The measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

For the triangle sides:

6 cm, 8 cm, and 10 cm

From the Pythagoras theorem:

\(10^2=8^2+6^2\)

100 = 100

These sides satisfy the Pythagoras formula.

For the triangle sides:

12 cm, 35 cm, and 37 cm

From the Pythagoras theorem:

\(37^2=35^2+12^2\)

1369 = 1369

These sides satisfy the Pythagoras formula.

For the triangle sides:

4 cm, 6 cm, and 10 cm

From the Pythagoras theorem:

\(10^2=6^2+4^2\)

100 ≠ 52

These sides do not satisfy the Pythagoras formula.

For the triangle sides:

10 cm, 24 cm, and 26 cm

From the Pythagoras theorem:

\(26^2=24^2+10^2\)

676 =  676

These sides satisfy the Pythagoras formula.

Thus, the measures of the triangles 4 cm, 6 cm, and 10 cm do not represent a right angle triangle because it does not follow the Pythagoras theorem option (C) is correct.

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Answer:

The only point that satisfies both equations simultaneously is (3, 0).

Step-by-step explanation:

To determine which point is a solution to the given system of linear equations, we need to substitute the coordinates of each point into the equations and see which point(s) satisfy both equations simultaneously.

Given system of linear equations:

y = −x + 3

x − 3y = 3

Substituting the coordinates of each point, we get:

(0, 3):

y = −x + 3 => 3 = -0 + 3 => 3 = 3 (satisfied)

x − 3y = 3 => 0 - 9 = 3 => -9 ≠ 3 (not satisfied)

(1, 2):

y = −x + 3 => 2 = -1 + 3 => 2 = 2 (satisfied)

x − 3y = 3 => 1 - 6 = 3 => -5 ≠ 3 (not satisfied)

(3, 0):

y = −x + 3 => 0 = -3 + 3 => 0 = 0 (satisfied)

x − 3y = 3 => 3 - 0 = 3 => 3 = 3 (satisfied)

(4, −1):

y = −x + 3 => -1 = -4 + 3 => -1 = -1 (satisfied)

x − 3y = 3 => 4 - (-3) = 3 => 7 ≠ 3 (not satisfied)

Therefore, the only point that satisfies both equations simultaneously is (3, 0).

The result obtained when a decision alternative is chosen and a chance event occurs is known as consequence. The answer is: b.

When a decision alternative is chosen and a chance event occurs, the result is referred to as a consequence. A consequence represents the outcome or outcome state that arises from the combination of a decision and a chance event.

It is the result or effect that occurs based on the chosen alternative and the unpredictable element introduced by the chance event.

Consequences are an essential concept in decision theory and decision analysis, as they help evaluate the potential outcomes and impacts of different choices and events. By considering the consequences associated with each decision alternative, decision-makers can assess the desirability or utility of different outcomes and make informed choices.

Hence, the correct option is: b. consequence.

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Out of every 236 random draws from the box, you can expect to draw the chip numbered 171 once.

There are 236 identical plastic chips numbered 1 through 236 in a box. The probability of reaching into the box and randomly drawing the chip numbered 171 can be calculated by dividing the number of ways to draw the chip numbered 171 by the total number of chips in the box.There is only one chip numbered 171 and there are 236 chips in the box. Therefore, the probability of drawing the chip numbered 171 is 1/236 or approximately 0.00424. This means that out of every 236 random draws from the box, you can expect to draw the chip numbered 171 once.

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Answer:

The length of A is 2. The height of A is 1.5. The Length of B is 5. The height of B is 15. The length of C is 6. The height of C is 6.

Step-by-step explanation:

Dimensions of A

Length: 4 multiplied by 1/2 is 2

Height: 3 multiplied by 1/2 is 1.5

Dimensions of B

Length: 2 multiplied by 2.5 is 5

Height: 6 multiplied by 2.5 is 15

Dimensions of C

Length: 2 multiplied by 3 is 6

Height: 2 multiplied by 3 is 6

Final answers are bolded

a) Marcus' result is likely to be more reliable.

b) Because the sample was bigger.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

The higher the total number of outcomes, the more reliable the probability calculated is.

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Answer:

y = 45/x

Step-by-step explanation:

Given y varies inversely as x, then;

y = k/x

If y = 5 when x = 9

5 = k/9

k = 5*9

k = 45

Substitute into the formula above;

y = k/x

y = 45/x

Hence the required inverse function is y = 45/x

The approximation of √0.96 using the linearization of f(x) = √(1/x) at x = 1 is 0.6836.

To find the linearization of f(x) = √(1/x) at x = 0  use the tangent line of f(x) at x = 0. To do this, we first need to find the derivative of f(x) at x = 0, which is f'(0).

Using the power rule for derivatives, we have:

f(x) = √(1/x)

f'(x) = -1/(\(2x^{(3/2)\))

Now, we can use f'(0) to find the tangent line at x = 0. The equation for the tangent line is given by:

y = f'(0)(x - 0) + f(0)

Since f(0) is undefined (since the square root of zero is undefined), we can't use the equation above. However, we can still find the slope of the tangent line at x = 0. The slope is given by f'(0), which is:

f'(0) = -1/(2(0)\(^{(3/2)\)) = undefined

So, we can conclude that the linearization of f(x) = √(1/x) at x = 0 is undefined.

To approximate √0.96, we can use the linearization of f(x) = √(1/x) at x = 1, since 0.96 is close to 1. The linearization of f(x) = √(1/x) at x = 1 is given by:

y = f'(1)(x - 1) + f(1)

f'(1) = -1/(\(2(1)^{(3/2)\)) = -1/√2

y = -1/√2(x - 1) + √1/1 = -1/√2x + √2

Now, we can use this linearization to approximate √0.96:

y = -1/√2 * 0.96 + √2 = 0.96 * -1/√2 + √2

y = 0.96 * -1/√2 + √2 = 0.96 * -0.7071 + 1.41

y ≈ 0.6836

So, the approximation of √0.96 using the linearization of f(x) = √(1/x) at x = 1 is 0.6836.

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Answer:

1.  36

2. Ratio is the relationship that compares one value to another in a fraction-like manner.

3. Equation is a statement that compares who values with an equality sign.

4. The perimeter is the distance around the object while the area is the amount of space inside the area.

Answer:

1.)  51.515%  2.) 48.485%

Step-by-step explanation:

In this question we know 66 is 100% of the fraction, so we can start the process of converting a fraction into a percent, by figuring out how to adjust the fraction so that the denominator will be 100. First, divide 100 by the denominator.

100/66 = 1.515

Now we want to multiply denominator and numerator by 100.

34 × 1.515 = 51.515

66 × 1.515 = 100

Therefore, 34/66 as a percentage will be 51.515%

Now we want to convert 32/66. We will do the same for this equation.

100/66 = 1.515

32 × 1.515 = 48.485

66 × 1.515 = 100

Therefore 32/66 as a percentage will be 48.485

Hope this helps : )

Answer:

60%

Step-by-step explanation:

The problem would be 6:4 ratio. 6+4=10, and there are 6 oaks, so there's 6/10. And that converted to a percentage is 60%.

A function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f is f(x) = 3x^4/4 + 729/4.

In the given question, we have to find a function f such that f'(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f.

The given function is f'(x) = 3x^3.

No integrating on both side,

f(x) = \(\int3x^3dx\) + C

f(x) = 3x^4/4 + C

As given, the line 81x + y = 0 is tangent to the graph of f.

So, slope at point of tangent; f'(x) = -81

So, 3x^3 = -81

Divide by 3 on both side, we get

x^3 = -27

Taking cube root on both side, we get

x = -3

So putting the value of x in 81x + y = 0, we get

y = 243

Thus, f(x) passes through (-3, 243).

So, 243 = 3/4(81) + C

Multiply by 4 on both side, we get

972 = 243 + 4C

Subtract 243 on both side, we get

4C = 729

Divide by 4 on both side, we get

C = 729/4

So, f(x) = 3x^4/4 + 729/4

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\(\underset{same~base \qquad }{e^{4x}=e^{x^2+3}}\implies 4x=x^2+3\implies 0=x^2-4x+3 \\\\\\ 0=(x -3)(x - 1)\implies x= \begin{cases} 3\\ 1 \end{cases}\)

Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.

The following are the solution to the given inequalities;

-13 < 4x + 7 ; -5 < x

-2x + 7 < 19 ; x > -6

-45 < 5(p - 2) ; -7 < p

21 < -7(x - 2) ; -1 > x

-9x + 10 > -8 ; x < 2

2 - 6 < 3 ; -4 < 3

-13 < 4x + 7

combine like terms

-13 - 7 < 4x

-20 < 4x

divide both sides by 4

-5 < x

-2x + 7 < 19

combine like terms

-2x < 19 - 7

-2x < 12

x < 12/-2

x > -6

When dividing inequality with negative, the inequality sign will flip.

-45 < 5(p - 2)

open parenthesis

-45 < 5p - 10

-45 + 10 < 5p

-35 < 5p

-7 < p

21 < -7(x - 2)

21 < -7x + 14

21 - 14 < -7x

7 < -7x

divide both sides by -7.

-1 > x

-9x + 10 > -8

-9x > -8 - 10

-9x > -18

x > -18/-9

x < 2

2 - 6 < 3

-4 < 3

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