i need help on my home work WITH ratio's

Answer:

2

Step-by-step explanation:

3.50/2 = 1.75 and 9/3= 3

so 2 bags for £3.50 is better than 3 bags for £9

Green's theorem can be used to evaluate the line integral along the triangular path from (0, 0) to (2, 0) to (2, 1) to (0, 0) of the function xy dx + y^3 dy.

Green's theorem relates a line integral around a closed curve to a double integral over the region enclosed by the curve. The theorem states that the line integral of a vector field F along a simple closed curve C is equal to the double integral of the curl of F over the region D enclosed by C. In this case, we are given the line integral of the function xy dx + y^3 dy along the triangular path.

To evaluate the line integral using Green's theorem, we first need to find the curl of the vector field associated with the function. The curl of F = (P, Q) is given by ∂Q/∂x - ∂P/∂y, where P and Q are the components of the vector field.

In this case, P = xy and Q = y^3. Taking the partial derivatives, we get ∂Q/∂x = 0 and ∂P/∂y = x. Therefore, the curl of F is 0 - x = -x.

Now, we can evaluate the double integral of the curl of F over the region D enclosed by the triangular path. The region D is a triangle with vertices (0, 0), (2, 0), and (2, 1). By integrating -x over this region, we can find the value of the line integral.

Performing the double integral and simplifying the result will give us the final answer for the line integral along the given path using Green's theorem.

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Answer:

Option (b) is correct.

Area of rectangle is 36 units

We have,

⇒36=6×6

=2×3×3×2

=4×9

Hence, the sides of a rectangle are 4cm and 9cm

Perimeter =2(l+b)

=2(4+9)

=13×2

=26units

Answer:

The length of the steel frame will be approximately 44 feet

Step-by-step explanation:

We can solve this problem by calculating the circumference of the steel frame. We are working with the fact that the steel frame was welded into a circular shape.

The circumference of the steel frame can be calculated using

\(circumference = \pi \times d\)

where d diameter of the steel frame = 14 feet

\(circumference = 3.14 \times 14=43.96ft\)

Therefore, the length of the steel frame will be approximately 44 feet

The given equation can be solved for the value of x and y

i.e. x = (3y - 7)/4 & y = (4x + 7)/3.

What is the linear equation?

An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

The equation 4x=3y-7

So, here we can solve this equation for the x as well as y equals,

Firstly we will solve for x:

4x = 3y - 7

dividing the whole equation by 4 we get,

4x/4 = (3y - 7)/4

x = (3y - 7)/4

Similarly, we will solve for y:

4x = 3y - 7

3y = 4x + 7

dividing the whole equation by 3 we get,

3y/3 = (4x + 7)/3

y = (4x + 7)/3

Hence, the given equation can be solved for the value of x and y

i.e. x = (3y - 7)/4 & y = (4x + 7)/3

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We have the following:

therefore:

The margin the error that corresponds to a sample of size of 5 with mean 75.2 and a standard deviation of 21.2 at a confidence level of 98% is 35.52

The square of given expression √1 ( square root of 1 ) is equal to 1.

As given in the question,

Given expression is equal to √1 ( square root of 1 )

To calculate the square of √1 we have,

Let us consider variable x is equal to √1

x = √1

Now take square on both the sides of the given expression we get,

x² =  (√1 )²

⇒ x² = √1  × √1

Multiplying square root of 1 to square root of 1 is equal to 1 we get,

or use law of exponent :

√1 × √1 = \(1^{\frac{1}{2} + \frac{1}{2} }\)

            = 1

⇒ x² = 1

Therefore, the square of the given expression √1 ( square root of 1 )is equal to 1.

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f(x) = 13e^(2x) – e^(x^2)

f'(x) = 26e^(2x) – 2xe^(x^2)

f'(3) = 26e^(2*3) – 2(3)e^(3^2) = 26e^6 – 18e^9

a) f(x) = 4 ln x

b) g(x) = ln(x^4)

We use the Power rule and the chain rule

g'(x) = 4x^(4-1)(1/x) = 4x^3(1/x) = 4x^2

To find f'(x), we need to use the power rule and the chain rule.

f(x) = 13e^(2x) – e^(x^2)

f'(x) = 26e^(2x) – 2xe^(x^2)

To find f'(3), we substitute x=3 into the derivative expression:

f'(3) = 26e^(2*3) – 2(3)e^(3^2) = 26e^6 – 18e^9

To compute the derivatives of the given functions:

a) f(x) = 4 ln x

We use the logarithmic differentiation rule:

f'(x) = 4(1/x) = 4/x

b) g(x) = ln(x^4)


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Answer: 20 Minutes

Step-by-step explanation:

If you are traveling double the speed, the end time is going to be half of the original time.

Answer:

33.7º

Step-by-step explanation:

tan  = opp/adj

tan∅ = 100/150 = 2/3

∅ = arctan 2/3

∅ = 33.690067525979787

33.7º

The equation of line which has slope -3/4 and passes through a point (-5,4) is given by          

y = -3/4x  +1/4

We have been given,

                       Slope = m = -3/4

                       Point = (x1,y1) = (-5,4)

The general slope-intercept form is given as,

              y = mx + c

                 where m = slope

                               c = intercept

Further, the formula to find the equation of line when we have been given one point and the slope is as follows,

            (y-y1) = m(x-x1)            (1)

Now putting the required value in equation (1) we will get,

       (y-4) = -3/4(x+5)

        y-4 = -3/4x – 15/4

         y = -3/4x – 15/4 + 4

         y = -3/4x  +1/4

Thus, the equation of line which has slope -3/4 and passes through a point (-5,4) is given by          

y = -3/4x  +1/4

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Answer:

third side = 6

using pythagoras theorem:

a² + b² = c²

Answer:

The length of the third side is 6 units

Step-by-step explanation:

We know that this is an right angled triangle , so

by using Pythagoras theorem we can find out the third side of the triangle ..

=> P² + B² = H²

=> 5² + (√11)² = H²

=> 25 + 11 = H²

=> 36 = H²

=> √36 = H

=> 6 = H

Replace a and c with their values;

b = sqrt(13^2 - 12^2)

b = sqrt(169 - 144)

b = sqrt(25)

b = 5

Answer: b = 5

Answer:

5

Step-by-step explanation:

b = sqrt( a^2 - b^2)

a = 13 and c = 12

b = sqrt( 12^2 - 12^2)

b = sqrt( 169 - 144)

   = sqrt( 25)

   = 5

Answer:

\({ \rm{100 + (13x + 2) + (18x + 2) + 70 = 360}} \\ \\ { \rm{31x + 174 = 360}} \\ \\ { \rm{31x = 186}} \\ \\ { \rm{x = 6 }}\)

• Angle C

\({ \rm{m \angle C = (13x + 2)}} \\ \\ { \rm{m \angle C = (13 \times 6) + 2 }} \\ \\ { \rm{m \angle C =80 \degree }}\)

The estimated area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints is approximately 0.8916.

To estimate the area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints, we can use the right Riemann sum method.

The width of each rectangle, Δx, is given by the interval width divided by the number of rectangles.

In this case, Δx = (π/2 - 0)/4 = π/8.

To calculate the right endpoint values, we evaluate f(x) at the right endpoint of each rectangle.

For the first rectangle, the right endpoint is x = π/8.

For the second rectangle, the right endpoint is x = π/4.

For the third rectangle, the right endpoint is x = 3π/8.

And for the fourth rectangle, the right endpoint is x = π/2.

Now, let's calculate the area for each rectangle by multiplying the width (Δx) by the corresponding height (f(x)):

Rectangle 1: Area = f(π/8) * Δx = 5cos(π/8) * π/8

Rectangle 2: Area = f(π/4) * Δx = 5cos(π/4) * π/8

Rectangle 3: Area = f(3π/8) * Δx = 5cos(3π/8) * π/8

Rectangle 4: Area = f(π/2) * Δx = 5cos(π/2) * π/8

Now, let's calculate the values:

Rectangle 1: Area = 5cos(π/8) * π/8 ≈ 0.2887

Rectangle 2: Area = 5cos(π/4) * π/8 ≈ 0.3142

Rectangle 3: Area = 5cos(3π/8) * π/8 ≈ 0.2887

Rectangle 4: Area = 5cos(π/2) * π/8 ≈ 0

Finally, to estimate the total area, we sum up the areas of all four rectangles:

Total Area ≈ 0.2887 + 0.3142 + 0.2887 + 0 ≈ 0.8916

Therefore, the estimated area under the graph of f(x) = 5 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right endpoints is approximately 0.8916.

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Answer:

Angle F and Angle L

Step-by-step explanation:

Answer:

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

A linear equation is an equation of a straight line.

It describes the straight-line graph of a set of ordered pairs (x, y) that are solutions to the equation.

There are different forms of linear equations.

The slope-intercept form of a linear equation is y = mx + b.

The equation y = -2x + 10 is in slope-intercept form. Its graph is a line with slope -2 and y-intercept 10. It shows the set of all solutions to the equation.

As per description above, the correct answer choice is B, all the other options are false.

Answer:

x = 15

Step-by-step explanation:

To find the x-intercept(s), substitute in  0  for  y  and solve for x.

0 = 1/3 x − 5

Solve the equation.

x  =  15

This is so it makes more sense for u

Hope this Helps (✿◠‿◠)

Answer:

48x

Step-by-step explanation:

\((\sqrt[4]{48x} )^{4}\) = \(\sqrt[4]{(48x)^{4} }\) = 48x

Hello there. To solve this question, we'll have to remember some properties about trapezoids.

Given a trapezoid with larger and smaller bases B and b, respectively, and height h (being the orthogonal projection of one of the bases onto another) as follows:

Its area A is given by the formula:

In the case of the question, we have a trapezoid with bases measuring 20 cm, 6 cm and height measuring 10 cm.

Plugging the values in the formula, we get:

This is the area of this trapezoid.

Answer:

OPTION A is correct

39 ounces

Step-by-step explanation:

Given:

The amount of water in the pitcher= 32 ounces

The amount of lemon juice in the pitcher = 7.15 ounces

We were to calculate the most reasonable estimate for the amount of liquid in the pitcher

To do this we need to sum up the Amount of water and Amount of lemon juice in the pitcher because the water is a liquid as well as the lemon juice which is

32 ounces + 7.15 ounces

=39.15 ounces

Therefore, the Estimated amount of liquid in the pitcher is approximately 39 ounces

Answer:

pump A

Step-by-step explanation:

Answer:

So interval notation is with ( and [ where ( is exclusive and [ is inclusive.

Like (1,2) is between 1 and 2 exclusive. [1,2] is between 1 and 2 inclusive. (1,2] is between 1 and 2, 1 exclusive 2 inclusive.

at the point (6,0) you see that the graph goes from above 0 to below 0 (from positive to negative)

The values are positive when x is less than 6 and negative when x is greater than 6.

so the positive interval is

(-infinity, 6)

and with inifinity you always use exclusive

It's that because everything from all the way to the left (-infinity) to 6, is above the x-axis, which means it's positive

using this logic can you do the negative interval?

Answer:

translation . translation. rotation

Answer:

225ml

Step-by-step explanation:

90/2=45 (2parts)

45×5=225

225ml

Answer:

2:5

90:water

how many 2's is in 90?

90/2=45

2(45):5(45)

90:225

225ml for water