The ratio of roses to tulips is 2:3. What percent of the flowers are roses?

Answer:

Using the Pythagorean Theorem to find the height of this right triangle:

\( {h}^{2} + {8}^{2} = {(2 \sqrt{19} )}^{2} \)

\( {h}^{2} + 64 = 76\)

\( {h}^{2} = 12\)

\(h = 2 \sqrt{3} \)

From this, the area of this right triangle is:

\( \frac{1}{2} (8)(2 \sqrt{3} ) = 8 \sqrt{3} \)

A is the correct answer.

Answer:

Step-by-step explanation

Use Pythagorean Theorem:

8² + b² = (2√19)²

64 + b² = 4 × 19

64 + b² = 76

64 -64 + b² = 76 -64

b² = 12

√b² = √12

b = √4 · 3

b = 2√3

This is the height - use in the area formula:

1/2(8)(2√3)

4(2√3)

8√3

Answer:

Base

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles which are scalene triangle, isosceles triangle,, equilateral triangle etc..

An isosceles triangle is a triangle in which two of the sides are equal, also two angles are equal. The two equal sides of the isosceles triangle are called base while the other side is the base.

The base of an Isosceles triangle is the side included between the pair of congruent angles.

The partial derivatives ∂u/∂g and ∂v/∂g of the function g(x, y) = cos(x² + y²) with respect to the independent variables u and v are both equal to 0.

A partial derivative is a mathematical concept used in multivariable calculus to measure the rate at which a function changes with respect to one independent variable while holding all other variables constant.

For a function f(x₁, x₂, ..., xn) of n variables, the partial derivative of f with respect to the variable xi (where 1 ≤ i ≤ n) is denoted as ∂f/∂xi or ∂i f and is defined as follows:

∂f/∂xi = lim(h→0) [f(x₁, x₂, ..., xi + h, ..., xn) - f(x₁, x₂, ..., xi, ..., xn)] / h

To calculate the partial derivatives ∂u/∂g and ∂v/∂g of the function g(x, y) = cos(x² + y²) with respect to the independent variables u and v, we can use the Chain Rule.

g(x, y) = cos(x² + y²)

x = 2u - 4v

y = u - 4v

∂u/∂g:

∂u/∂g = (∂u/∂x) * (∂x/∂g) + (∂u/∂y) * (∂y/∂g)

= 2 * 0 + 1 * 0

= 0

∂v/∂g:

∂v/∂g = (∂v/∂x) * (∂x/∂g) + (∂v/∂y) * (∂y/∂g)

= 2 * 0 + (-4) * 0

= 0

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the complete question is:

Use the Chain Rule to calculate the partial derivatives of g(x, y) = cos(x² + y²) with respect to u (∂u/∂g) and v (∂v/∂g), where x = 2u - 4v and y = u - 4v.

Express your answer in terms of the independent variables u and v.

Answer:

\(x=\frac{1\pm i\sqrt{11}}{4}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define Equation

4x² - 2x + 3 = 0

Step 2: Identify Variables

a = 4

b = -2

c = 3

Step 3: Solve for x

Answer:

256

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

Answer:

Which grade r u in

Step-by-step explanation:

Answer:

C!!

Step-by-step explanation:

Answer:

138.6

Step-by-step explanation:

154 x .9=138.6

Answer:

£15.4

Step-by-step explanation:

Answer:

1 freedom of speech

2 bear arms mean that i can own and carry a gun to protect me, myself and my property.

3 search warent

4 the tar and feather used on blacks.

5 fouth

6 it is passed down to mayors

7 i think that the most important amendment is the first because it allows us say what we like without getting punished by it.

sorry bout my bad grammer

Step-by-step explanation:

Answer:

2x6 and 6x2

Step-by-step explanation:

because 12/6 gets you 2 and 6x2 equals 12

Answer:

2

Step-by-step explanation:

Clarie and Tyler thought about 12 divided by 6 because if you thought how much weight would give me 12?, You would think you need to divide to know that and if you multiply 2x6 it gives you the product of 12 so 12 divided by 6 is 2 therefore the missing number is 2.

Answer:

Confident or forceful behaviour

Step-by-step explanation: I have a dictionary

So, the horizontal distance of the ramp is approximately 13.64 feet, rounded to the nearest hundredth.

An angle is a figure formed by two rays or line segments that share a common endpoint, called the vertex of the angle. The rays or line segments that form the angle are called the sides or legs of the angle. The measurement of an angle is typically given in degrees or radians, and it represents the amount of rotation required to move one of the sides of the angle to coincide with the other side.

Angles are important in many areas of mathematics and science, including geometry, trigonometry, physics, and engineering. They are used to describe the orientation of objects, to measure distances and heights, to calculate forces and velocities, and to solve problems involving triangles and circles. Angles can be classified based on their size and shape, such as acute, obtuse, right, straight, or reflex angles.

by the question.

The horizontal distance of the ramp is the adjacent side of the right triangle formed by the ramp, the ground, and the vertical height of the ramp.

Using trigonometry, we can use the cosine function to find the length of the adjacent side:

\(cos (13°) = adjacent / hypotenuse\)

where the hypotenuse is the length of the ramp, which is given as 14 feet.

Rearranging the formula to solve for the adjacent side, we get:

\(adjacent = cos (13°) x 14\)

Using a calculator, we can evaluate the cosine of 13 degrees, which is 0.97437 (rounded to five decimal places). Multiplying this by 14, we get:

\(adjacent = 0.97437 x 14 = 13.64\)

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An exponential function that models the population of bluegill over the last 5 years is \(y = 2,802.62(0.6)^x\).

In this exercise, we would plot the years on the x-axis of a scatter plot while the population would be plotted on the y-axis of the scatter plot through the use of Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an exponential equation for the line of best fit on the scatter plot.

Based on the scatter plot shown below, which models the relationship between the years and the population, an exponential equation for the line of best fit is modeled as follows:

\(y = 2,802.62(0.6)^x\)

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Answer:

Correct

Step-by-step explanation:

You know it's all correct because of the periodic table ;)

Answer: you are correct

1.

Assume that the first prism have dimension l, w and h. Therefore its volume is:

Now, the second prism after applying the scale factor has dimensions 59.5l, 59.5w and 59.5h, hence its volume will be:

Therefore, the scale factor for the volume is 210,644.9.

2.

The are of the base of a rectangular prism is given by:

hence, in this case we have:

Therefore the area of the base is 50 squared units.

The correct choice is: B. There is a unique solution in the region consisting of all points in the xy-plane except the origin.

To determine the region of the xy-plane for which the given differential equation, x(dy/dx) = y, would have a unique solution passing through a point (x0, y0) in the region, we can analyze the characteristics of the equation.

The given differential equation is a first-order linear ordinary differential equation. It can be rearranged as (dy/dx) = (y/x).

The general solution of this differential equation is y = Cx, where C is a constant.

To have a unique solution passing through a specific point (x0, y0), the constant C must be uniquely determined. In other words, there should not be multiple values of C that satisfy the condition.

Let's analyze the options:

A. There is a unique solution in the entire xy-plane.

This statement is incorrect. The equation y = Cx represents a family of lines passing through the origin (0, 0), and different values of C will give different lines.

B. There is a unique solution in the region consisting of all points in the xy-plane except the origin.

This statement is correct. Excluding the origin (0, 0), each point in the xy-plane corresponds to a unique value of C, resulting in a unique solution.

C. There is a unique solution in the region x < 1.

This statement is incorrect. The region x < 1 includes points where x = 0, which leads to an undefined solution (division by zero) for the given differential equation.

D. There is a unique solution in the region y ≤ x.

This statement is incorrect. The region y ≤ x includes the origin (0, 0), and as mentioned earlier, the equation y = Cx does not provide a unique solution passing through the origin.

E. There is a unique solution in the regions x > 0 and x < 0.

This statement is correct. For x > 0 and x < 0, each region corresponds to a unique value of C, resulting in a unique solution passing through the respective regions.

Based on the analysis, the correct choice is: B. There is a unique solution in the region consisting of all points in the xy-plane except the origin.

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The standard format for electronic document submission in U.S. federal courts is PDF (Portable Document Format).

PDF, or Portable Document Format, is a widely used file format that allows for the electronic representation of documents. It is designed to be platform-independent, meaning it can be viewed and accessed on different devices and operating systems while retaining its original formatting. In the context of U.S. federal courts, PDF has become the standard format for attorneys to submit documents electronically.

The adoption of PDF as the standard format for electronic document submission in U.S. federal courts brings several advantages. PDF files are generally compact in size, making them easier to transmit and store. They also preserve the interest, fonts, and graphics of the original document, ensuring that the submitted materials are accurately represented.

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Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

The triangle's third side will measure 6.71 units in length.

According to the Pythagorean theorem, two squares added together equal the square of the longest side.

The Pythagoras theorem's equation is as follows:

H² = P² + B²

The triangle's third side will be the following length:

Let x represent the triangle's third side's length. Next, we have

9² = 6² + x²

81 = 36 + x²

x² = 45

x = 6.708

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To sketch the graph of the function `f(x) = - 5 sin 6 5 4 3 2 -&t -7n -65-4n -3n-2n - j -2 -3 -4 -5 -6 + - (a) 27 3 4 5 \ / 67 8`, we first need to identify its key features, which are:Amplitude = 5

Period = 2π/6

= π/3

Phase Shift = 2

The graph of the function `f(x) = - 5 sin 6x + 2` can be obtained by starting with the standard sine graph and making the following transformations:Reflecting it about the x-axis by multiplying the entire function by -1.

Multiplying the entire function by 5 to increase the amplitude.

Shifting the graph to the right by 2 units.For the specific domain provided in the question, we have:27 < 6x + 2 < 67 or 25/6 < x < 65/6.

This gives us a range of approximately 4.17 ≤ x ≤ 10.83.

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Answer:

C : 30 SQUARE UNITS

The distance north of Helicopter A from helicopter B is 1. 03 km.

The shortest distance between the polar bear and the conservationists is 9.36 km.

To find the distance from Helicopter A to Helicopter B in the north direction, we can use trigonometry. We can create a right triangle with the north direction as one side, the distance between the helicopters as the hypotenuse, and the angle of 122° between them.

Let N be the north distance between A and B. We can use the sine function:

sin(angle) = opposite side / hypotenuse

sin(122°) = N / 1.2 km

Now, solve for N:

N = 1.2 km x sin (122°) = 1.03 km

The polar bear's position is given as 3 km eastward and on a bearing of 104°. To find the shortest distance between the polar bear and the conservationists, we need to consider the right triangle formed by the eastward direction, the north direction, and the distance between the polar bear and the conservationists as the hypotenuse.

Let D be the shortest distance between the polar bear and the conservationists. We can use the cosine function:

cos(angle) = adjacent side / hypotenuse

cos(104°) = 3 km / D

Now, solve for D:

D = 3 km / cos(104°) = 9.36 km

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Answer:

-24

Step-by-step explanation:

b²-2ac

⇒Plug in the values given in places and simplify.

\(=(-4)^{2} -2(-4)(-5)\\=16-2(20)\\=16-40\\=-24\)

-24 is the answer after substitution of the known values.

The true statements after the sequence of transformations are

From the question, we have the following parameters that can be used in our computation:

AB = (2,4) and (-2,-1)

CD = (3,1) and (-1,-4)​

The transformation rule is given as

This means that

(x, y) = (x - 2, -y - 5)

So, we have

A'B' = (0,-9) and (-4,-4)

C'D' = (1,-6) and (-3,-1)​

The above means that

(b), (d), (f), (g) are false and (e) is true

When D and A are reflected, we have

D = (-1, 4) and A = (2, -4)

The above means that

(a) is false and (c) is true

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Answer:

-7

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Just took the test and got it right

The graph represents the solution of trigonometric inequality that is 5sinx - 7.5≥ 6sinx - 7 option second is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

For the 5cosx - 7.5≥ 6cosx - 7

After simplifying, we get:

cosx ≤ 0.5

From the graph, we at x = 0, the value of a function is 0 but we know cosx at x = 0  is 1.

This inequality does not show the solution in the graph.

For the 5sinx - 7.5≥ 6sinx - 7

After simplifying, we get:

sinx ≤ - 0.5

We know the value of sinx at x = 0 is 0 and at x = π is also 0.

From the above inequality, the value of sinx is less than -0.5 which is clearly shown in the graph.

Thus, the graph represents the solution of trigonometric inequality that is 5sinx - 7.5≥ 6sinx - 7 option second is correct.

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Answer:

72

Step-by-step explanation:

As 3 lions & 3 tigers are to be arranged in a way that lions are not together. It can be done as per following arrangements

LTLTLT , or TLTLTL

Lions can be positioned in six ways, Tigers can also be positioned in 6 ways. There are two alternative positions.

Hence the arrangement can be done in 2 x 6 x 6 = 72 ways  

The different ways should be 72.

As 3 lions & 3 tigers are to be arranged

So, it can be

LTLTLT , or TLTLTL

Now the arrangement should be

\(= 2 \times 6 \times 6\)

= 72 ways  

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We have to calculate how many T-shirts the hay to sell in order to raise $720, including the $60 dollars they already saved.

They earn $12 for every T-shirt, so the amount of money raised is 12x, being x the number of T-shirts.

Then, 12x has to be at least equal to 720-60=660:

Then, if we divide both sides by 12, we get the number of T-shirts they have to sell:

They have to sell at least 55 T-shirts.