Choose the possible correct names for the highlighted angle. (There are
more than one correct answers) ****picture

Using logarithmic differentiation, the derivative of the function x^-2y is :

y' = -2xy^2

To use logarithmic differentiation to find the derivative of the function x^-2y, we first take the natural logarithm of both sides:
ln(x^-2y) = ln(y)

Then we use the logarithmic differentiation rule, which states that if we have a function f(x) raised to a power g(x), then the derivative of that function is:
(f^g)' = f^g * (g' * ln(f) + f' * g / f)

Applying this rule to our equation, we get:
d/dx(ln(x^-2y)) = d/dx(ln(y))
-2y/x = y'/y

Multiplying both sides by y and simplifying, we get:
y' = -2xy^2

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The distance of ship from the base of the lighthouse is 328.54m, as found with the help of angle of depression.

Given:

To find: Distance of ship from the base of the lighthouse.

Finding:

Let 'x' be the distance of the ship from the base of the lighthouse and θ be the angle of depression.

Then, tanθ = \(\frac{160}{x}\)

=> x = \(\frac{160}{tan26}\)

=> x = \(\frac{160}{0.487}\)

=> x = 328.54m

Hence, The distance of ship from the base of the lighthouse is 328.54m, as found with the help of angle of depression.

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125=2

 x12

1500=24

sorry if i didnt help

Answer:

graph D

Step-by-step explanation:

if x = 0

y = 2 |-1| - 3

y = 2 (1) - 3

y = 2 - 3

y = -1

A (0, -1)

if x = 1

y = 2 |1-1|  - 3

y = 2 (0) - 3

y = -3

B (1,-3)

Answer:

Within 10 feet of a fire hydrant

Step-by-step explanation:

Answer:

10 feet.

Step-by-step explanation:

Estimating the doubling time for the given investment Assuming that an amount P is invested at r% per annum and compounded continuously then, the amount of investment in t years is given byA = Pe^(rt).

Here, the amount is doubled, so, we have to find t such that A = 2P.

A = Pe^(rt)2P = Pe^(rt)2 = e^(rt) Taking natural logarithm on both sides, we getln 2 = ln e^(rt)= rt  t = (ln 2) / rHere, P = $15,000, r = 6% per annum = 0.06 per annum So, the doubling time t = (ln 2) / r= (ln 2) / 0.06≈ 11.55 years (approx.)

b) Estimating the time required for $15,000 to grow to $240,000Here, the present value of the investment is $15,000 and the future value is $240,000.

Assuming that the investment is for t years at 6% per annum and compounded continuously, we can write:240,000 = 15,000e^(rt)Dividing both sides by 15,000, we get16 = e^(rt)ln 16 = ln e^(rt)ln 16 = rtTherefore, t = ln 16 / r

Here, r = 6% per annum = 0.06So, t = ln 16 / r= ln 16 / 0.06≈ 24.44 years (approx.)So, it will take around 24.44 years (approx.) for $15,000 to grow to $240,000 at 6% per annum compounded continuously.

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Answer:

5 rooms

Step-by-step explanation:

4 rooms = 9 hours

9 hours = 540 minutes

1 room = 540 ÷ 4 = 135 minutes

60 x 12 = 720 minutes (12 hours)

720 ÷ 135 = 5.33333

5.3333 estimated to nearest whole number = 5

The given integral is ₁∫₀^(π/2) sin²(x)dx.

The trapezoidal rule is given by:(b - a) [(f(a) + f(b))/2]And, the Gauss-Quadrature formula for n = 2 is: ∫ᵇₐ f(x) dx = (b - a) [ w₁ f( [ (b - a)/2 ] gp₁ + (b + a)/2 ) + w₂ f( [ (b - a)/2 ] gp₂ + (b + a)/2 ) ]

Here, a = 0, b = π/2, gp₁ = -0.5773, gp₂ = 0.5773, w₁ = w₂ = 1.

(i) Trapezoidal Rule: The trapezoidal rule with one interval is given by:(b - a) [(f(a) + f(b))/2] = π/4 [sin²(0) + sin²(π/2)] = 0.7854

(ii) Gauss-Quadrature: Using the Gauss-Quadrature formula with n = 2, we get:∫ᵇₐ f(x) dx = (b - a) [ w₁ f( [ (b - a)/2 ] gp₁ + (b + a)/2 ) + w₂ f( [ (b - a)/2 ] gp₂ + (b + a)/2 ) ]= π/2 [ sin²( [ (π/2)/2 ] (-0.5773) + π/4 ) + sin²( [ (π/2)/2 ] (0.5773) + π/4 ) ]= 0.7853Comparing the above two methods, the trapezoidal rule and Gauss-Quadrature method are nearly the same and are close to the exact value.

Exact value = (π/2)/2 - sin(π)/4 = 0.7854Conclusion:Thus, it can be concluded that the given integral using the trapezoidal rule (using only one interval) and Gauss- Quadrature (n=2) is approximately equal to 0.7854.

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The example of adjacent angles that are complementary and those that are non-complementary are given as attached.

When two adjacent angles have a similar vertex and side, they might be complementary or supplementary angles.

If the total of neighboring angles equals 90 degrees, then they are complementary. If the total of neighboring angles equals 180 degrees, they are complementary to one another.

Non-adjacent Complementary Angles: Two angles that are not next to each other are non-adjacent complementary angles. AOB and XOY are non-adjacent angles since they share neither a vertex nor an arm. They also add up to 90°. As a result, these two angles are non-adjacent complimentary.

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Answer:

(0,3)

Step-by-step explanation:

y = mx + b

\(y=\frac{1}{2}x+b\)

\(4=\frac{1}{2}(2)+b\)

4 = 1 + b

b = 3

\(y=\frac{1}{2}x+3\)

'b' represents the y-intercept in slope-intercept form. Another point is (0,3)

Answer:

1.5

Step-by-step explanation:

Answer:

5 sixes + 2 sixes

30 + 12

42

Step-by-step explanation:

7 x 6 is 7 sixes

7 sixes = 5 sixes + 2 sixes (7=5+2)

5 sixes =30 + 2 sixes = 12

30 + 12 = 42

Step-by-step explanation:

we only need to calculate directly the work hours needed for 10 child bikes and 12 adult bikes.

as a child bikes needs 4 hours to build and 4 hours to test, for 10 child bikes that means 10×4 = 40 hours to build and 40 hours to test

an adult bike needs 6 hours to build and 4 his to test.

so, for 12 bikes that are 12×6 = 72 hours to build and 12×4 = 48 hours to test.

together that means we need

40 + 72 = 112 hours to build

40 + 48 = 88 hours to test

the limits of the company are 120 build hours and 100 test hours per week.

as 112 < 120 and 88 < 100, yes, the company can build 10 child bikes and 12 adult bikes in one week.

in fact, with that they still have 8 work hours (120 - 112) and 12 test hours (100 - 88) left and could therefore build either 2 additional child bikes (8 build hours, 8 test hours) or one additional adult bike (6 build hours, 4 test hours).

Answer:

pakistani activist for female education

Answer:

88pi or 276.4601535

Step-by-step explanation:

hope this helps

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

Answer:

11.832

Step-by-step explanation:

Answer:

11.832

Step-by-step explanation:

11.832.......² = 140

11.832 simplified to the hundredths place is 11.83

Hope this helped! HAVE A GOOD DAY!

Answer:

Step-by-step explanation:

What is the value of m in the equation 1/2m - 3/4n when n = 8?

1/2m - 3/4*8 =

1/2m = 6

m = 12

--------------------

This square-based oblique pyramid has a volume of 125 m³.The height of the pyramid is 15 m.

The volume of a square-based oblique pyramid is 125 m³, we need to determine the height of the pyramid.The formula for the volume of a pyramid is given as;

V = (1/3) × B × h

Where B is the area of the base and h is the height of the pyramid. Given that the base of the pyramid is a square, the area of the base is given as;

B = a² where a is the length of the sides of the square base. Hence, the volume of the pyramid can be written as;V = (1/3) × a² × h

Since the volume of the pyramid is 125 m³, we can write;

125 = (1/3) × a² × h

Multiplying both sides of the equation by 3;375 = a² × h

Now, since all sides of the square base have the same length, we can find a by determining the cube root of the volume of the pyramid.

Dividing 125 by 5 yields 25. The cube root of 25 is 5. This means that each side of the square base is 5 m long.

Hence, the area of the base (B) is given as;

B = a² = (5 m)² = 25 m²

Substituting the values of B and V into the expression 375 = a² × h;375 = (25 m²) × h

Simplifying the equation;375 = 25h

Dividing both sides by 25;15 = h

Therefore, the height of the pyramid is 15 m. Answer: 15 m

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Convert USD to THB, multiply amount of USD by the current exchange rate between USD and THB, which can be found on financial news or currency exchange websites, to get the equivalent amount in THB.

To convert US dollars (USD) to Thai baht (THB), you need to use the current exchange rate between the two currencies. Here are the steps to convert USD to THB:

Find the current exchange rate between USD and THB. This information can be found on financial news websites, currency exchange websites, or by contacting a bank or currency exchange service.

Multiply the amount of US dollars you want to convert by the current exchange rate to get the equivalent amount in Thai baht. For example, if the current exchange rate is 1 USD = 31.50 THB and you want to convert 100 USD to THB, the calculation would be:

100 USD x 31.50 THB/USD = 3,150 THB

Therefore, 100 USD is equal to 3,150 THB.

Note: The exchange rate between USD and THB can fluctuate over time, so make sure to use the current exchange rate for the most accurate conversion.

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According to scale drawing, the actual length of route is 84 metres.

The calculations will be based on the concept of ratio and proportion -

Ratio in real :: Ratio of scale drawing

Let us assume the actual length of route be x.

28 : x :: 1 : 300

Writing the ratio as fraction

28/x = 1/300

Cross multiplying the fraction

x = 28 × 300

Performing multiplication on Right Hand Side of the equation

x = 8400 cm

Converting centimetres to meters. As per the known fact, 100 cm = 1 metre

8400 cm = 84 meters

Thus, the actual length is 84 meters.

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The equation of the circle with a center at (-7, 6) and a radius of 10 meters is (x + 7)^2 + (y - 6)^2 = 100.

The equation of a circle in a general form can be expressed as:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) represents the center of the circle and r represents the radius.

Given the center (-7, 6) and the radius of 10 meters, we can substitute these values into the equation:

(x - (-7))^2 + (y - 6)^2 = 10^2

Simplifying further:

(x + 7)^2 + (y - 6)^2 = 100

Therefore, the equation of the circle in general form with a center at (-7, 6) and a radius of 10 meters is:

(x + 7)^2 + (y - 6)^2 = 100.

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Answer:

r≈2.55

hope this helps!

The correct answer is (D) 0.8262

If the z value of the test statistic is equal to 1.36, the corresponding p-value is 0.8262. The p-value represents the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true.

To determine the p-value, we need to calculate the area under the standard normal curve beyond the observed z value. In this case, the z value is 1.36. By referring to a standard normal distribution table or using a statistical software, we can find the corresponding probability.

Using the standard normal distribution table, we find that the area to the right of 1.36 is approximately 0.0869. However, since the p-value represents the probability of obtaining a value as extreme or more extreme than the observed value, we need to consider both tails of the distribution. Therefore, we multiply the area in one tail by 2, resulting in a p-value of 0.0869 * 2 = 0.1738.

Therefore, the correct answer is 0.8262, as stated in the answer choices.

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Answer:

beta increases

Step-by-step explanation:

Answer:

\((x+6)(x-6)\)

Step-by-step explanation:

Hi there!

The difference of squares theorem states that \(a^2-b^2=(a+b)(a-b)\).

We're given:

\(x^2-36\)

This can be rewritten since 36 is a perfect square:

\(=x^2-6^2\)

Use the difference of squares theorem:

\(=(x+6)(x-6)\)

I hope this helps!

Answer:

(x-6)(x+6)

Step-by-step explanation:

x^2 -36

Rewriting

x^2 - 6^2

We know a^2 - b^2 = (a-b)(a+b)

(x-6)(x+6)