If 14 meters of ribbon cost $19, how much would 21 meters of ribbon cost?

We have the following, L, of the beam varies as the product of the width and the square of the height:

And varies inversely as the lenght of the wooden beam:

therefore:

where k is the proportionality constant

w = 4, h=8, l = 216 and L = 5050

now, if w = 2, h = 5, l = 144:

Answer:

The answer is

Step-by-step explanation:

In order to convert a value from radians to degrees we multiply the value by \( \frac{180}{\pi} \)

So from the question the value to be converted into degrees is

Converting into degrees we have

Reduce the expression with π

That's

We have the final answer as

Hope this helps you

Answer:

B. Dependent samples

Step-by-step explanation:

Dependent samples occur when you have two samples that do affect one another. Dependent samples are paired measurements for one set of items.

While independent samples occur when you have two samples that do not affect one another.

Independent samples are measurements made on two different sets of items.

Answer:

yes cause they are the same #s

Step-by-step explanation:

Step-by-step explanation:

I think yes I am not sure

sorry I took your points

Answer:

9x + 4

Step-by-step explanation:

Step 1: Write expression

4x - 2 + 5x + 6

Step 2: Combine like terms (x)

9x - 2 + 6

Step 3: Combine like terms (constants)

9x + 4

Answer:

9x + 4

Step-by-step explanation:

Answer:

What is the normal rate of return?

Normal rate of return . ' means the average rate of return that a firm would receive in an industry when conditions of perfect competition prevail.

Step-by-step explanation:

The equation with the greater rate of change is y = 3x + 12, which has a rate of change of 3.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Given the equations, the equation with the greater rate of change is y = 3x + 12, which has a rate of change of 3.

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Answer:

Step-by-step explanation:

$2.12 - $1.65 = $0.47
$0.47 x 65 = $30.55 profit.

This is an exercise in the formula to calculate the profits obtained from the sale of a product, it is an essential tool in the management of any business. By knowing the profits obtained from the sale of a product, business owners and managers can make informed decisions and adjust their business strategies to maximize their profitability.

Profit is calculated by subtracting the total costs of production from the total revenue earned from the sale of a product. Total production costs include not only the direct costs associated with manufacturing the product, but also indirect costs, such as advertising and marketing costs, the cost of packaging materials, and other overhead.

The total income obtained from the sale of a product is the product of the number of units sold by the sale price per unit. It is important to remember that the selling price per unit must be sufficient to cover both the direct and indirect costs of production, and to provide a reasonable profit.

Once the profit earned from the sale of a product has been calculated, business owners and managers can use this information to improve their profitability. If profits are low, they might consider lowering production costs, raising the selling price, or finding ways to sell more units. On the other hand, if profits are high, they might consider increasing their investment in advertising and marketing to attract more customers and expand their business.

In addition, profit calculation can also help business owners and managers assess the feasibility of launching a new product or expanding into new markets. By calculating total production costs and potential total revenue, they can determine if the new product or market is profitable and make informed decisions about whether to proceed with the launch or expansion.

The total cost of making the handles is the product of the number of handles times the cost per unit:

Total cost = 65 potholders × $1.65/potholder = $107.25

The total revenue from selling the handles is the product of the number of handles times the selling price per unit:

Total revenue = 65 potholders x $2.12/potholder = $137.8

Elmo's profit is the difference between total revenue and total cost:

Profit = Total Revenue - Total Cost

Profit = $137.8 - $107.25 = $30.55

Profit = $30.55

Answer:

reflected across the y axis, the point (1, 1) becomes (-1, 1).

Step-by-step explanation:

To reflect a point across the y-axis, all you need to do is negate the x coordinate.  That gives you (-1, 1)

The relationship between equality and congruence is established by three key theorems. If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.

All triangles are contained in a single plane if all geometry is on the Euclidean plane, but in higher-dimensional Euclidean spaces, this is no longer the case.

The definition of the terminology used to classify triangles can be found on the first page of Euclid's Elements, which dates back more than two thousand years. In modern classification, names are either directly transliterated from Euclid's Greek or translated from Latin.

hence, The relationship between equality and congruence is established by three key theorems. If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.

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a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer:

its only 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

X=-1.25

Step-by-step explanation:

Y=-5.6X-7

To find X-INTERCEPT/ZERO substitute y=0

0=-5.6x-7

Move the VARIABLE to the left-handed side and change it's sign

5.6x=-7

Divide both sides of the equation by 5.6

x=-1.25

Which gives you: x=-1.25

Alternative Form:

x=-5/4x=-1^1/4

Answer:

Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls

425 is the smallest sample size required when the percentage of pupils in the population who LOVE statistics.

Given that,

We have to find the smallest sample size required to determine the percentage of pupils in the population who LOVE statistics. With 99% confidence, the estimate should be within 5% of the true proportion. Assume that past research pegged that percentage at 20%.

p =  0.20

1 - p =  0.80

Margin of error = E = 0.05

At 99% confidence level

α= 1 - 99%  

α = 1 - 0.99 =0.01

α/2 = 0.005

Zα/2 = Z0.005 = 2.576

Sample size = n = (Zα / 2 / E )2 × p × (1 - p)

= (2.576 / 0.05)2 × 0.20 × 0.80

= 424.68

Sample size = n = 425

Therefore, 425 is the smallest sample size required when the percentage of pupils in the population who LOVE statistics.

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Answer:

yes how can I help you???

Answer:

20/18

Step-by-step explanation:

Answer:10/9 exact form mixed # 1 1/9

Step-by-step explanation:reduce the expression, if possible, by cancelling the common factors.

Answer:

Step-by-step explanation:

Total number of students:

A.

B.

C.

D.

f (x) = 3x - 2

g(x) = 4x + 4

fg (4) = ?

fg (x) = f (4x + 4)

          3( 4x+4) - 2

           12x + 12-2

  fg (x)  =  12x+10

fg(4) =( 12 × 4) + 10

fg(4) = 48 + 10 = 58

Answer:

5 hours

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

multiply by 10 on each side

t = 10 x 1/2 =

t = 5

Answer: We needs to see the lengths of the shape

Step-by-step explanation:

Answer:

Subtracting 1 from each side length of GHIJKL

Adding 15 degrees to angles G, H, and I, and subtracting 15 degrees from angles J, K, and L  

adding 3 to each side length in GHIJKL

Step-by-step explanation: Plato

Answer: 2&3 are the answers .

Step-by-step explanation: I got the answer right on my test .

Answer:

Answer and steps in picture.

Answer:

Option B

Step-by-step explanation:

Rule for the dilation of point (x, y) by a scale factor 'k' about the origin,

(x, y) → (kx, ky)

By this rule vertices of triangle ABC when dilated by a scale factor of 2 to form ΔA'B'C',

A(0, 10) → A'(0, 20)

B(8, 6) → B'(16, 12)

C(4. 2) → C'(8, 4)

Therefore, Option B will be the correct option.

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:

Step-by-step explanation:

a₁₂ = a₁r¹²⁻¹ = -15×6¹¹

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

This function represents a downward-opening parabola with a vertical shift of 6 units upward.

The given function is Ƒ(t) = –1/(2t²) + 2t + 6.

This is a quadratic function in terms of t. The general form of a quadratic function is f(t) = at² + bt + c, where a, b, and c are constants.

Comparing the given function Ƒ(t) = –1/(2t²) + 2t + 6 with the general form, we can see that a = -1/2, b = 2, and c = 6.

So, the function Ƒ(t) can be written as:

Ƒ(t) = (-1/2)t² + 2t + 6

This function represents a downward-opening parabola with a vertical shift of 6 units upward.

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Step-by-step explanation:

Let's start by using the formula for the volume of a cylinder:

V = πr^2h

where V is the volume of the cylinder, r is the radius of the cylinder, h is the height of the cylinder, and π is a mathematical constant (approximately equal to 3.14).

Since we are dealing with a drain pipe, we can assume that the height of the cylinder is fixed and does not change. Therefore, we can rewrite the formula as:

V = πr^2h = Ah

where A is the cross-sectional area of the cylinder.

Now, let's use the given information that the drain pipe can carry 36 litres per second. We know that the volume of water that passes through the pipe in one second is equal to 36 litres. We can therefore write:

36 = Ahv

where v is the velocity of the water flowing through the pipe. Since we are assuming that the height of the cylinder is fixed, we can simplify this equation to:

36 = Av

Now we need to determine the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second. Let's call the new diameter d2 and the old diameter d1. We can set up a proportion to solve for d2:

A1/A2 = d1^2/d2^2

We know that A1 and A2 are proportional to the volumes of water the pipe can carry, so we can write:

A1/A2 = 36/60

Simplifying this equation, we get:

A1/A2 = 3/5

Substituting in the formula for the cross-sectional area of a cylinder, we get:

πd1^2/4 / πd2^2/4 = 3/5

Simplifying further, we get:

d1^2/d2^2 = 3/5

Taking the square root of both sides, we get:

d1/d2 = sqrt(3/5)

Now we can solve for d2:

d2 = d1 / sqrt(3/5)

We want to know the percentage increase in the diameter, which we can find using the formula:

% Increase = (New Value - Old Value) / Old Value x 100%

Substituting in our values, we get:

% Increase = (d1 / sqrt(3/5) - d1) / d1 x 100%

Simplifying, we get:

% Increase = (1 / sqrt(3/5) - 1) x 100%

Using a calculator, we get:

% Increase ≈ 34.64%

Therefore, the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is approximately 34.64%.