Suppose elementary students are asked their favorite color, and these are the results: - 24 % chose blue - 17 % chose red - 16 % chose yellow What percentage chose something other

Answer:

D

Step-by-step explanation:

Pq=opp/hyp

(135+12)=180

Answer

Second option is correct.

Option G is correct.

Area of the figure = (6.8/2) + (10.8)

Explanation

We can see that the figure is a combination of a triangle and a rectangle

Area of a rectangle = Length × Width

For the rectangular part,

Length = 10

Width = 8

Area of the rectangle = 10 × 8 = (10.8)

Area of a triangle = ½ × Base × Height

For this triangle,

Base = 16 - 10 = 6

Height = 8

Area of the triangle = ½ × Base × Height

Area of the triangle = ½ × 6 × 8 = (6.8/2)

Area of the figure = Area of the triangle + Area of the rectangle

Area of the figure = (6.8/2) + (10.8)

Hope this Helps!!!

The maximum rate of change of f at P is 1.

To find the points on the surface xy - z^2 = 1 that are closest to the origin, we can use the method of Lagrange multipliers. Let's define the function g(x, y, z) = x^2 + y^2 + z^2, which is the square of the distance from the origin. Our constraint is the surface xy - z^2 = 1. The Lagrangian function is then:

L(x, y, z, λ) = e^(2xy)sin(z) + λ(xy - z^2 - 1)

Taking partial derivatives and setting them equal to zero, we get:

∂L/∂x = 2ye^(2xy)sin(z) + λy = 0

∂L/∂y = 2xe^(2xy)sin(z) + λx = 0

∂L/∂z = e^(2xy)cos(z) - 2λz = 0

∂L/∂λ = xy - z^2 - 1 = 0

Solving these equations, we get:

x = ±√(2/π), y = ±√(2/π), z = ±1/√π

Plugging these values into g(x, y, z), we get the closest point to the origin: (±√(2/π), ±√(2/π), ±1/√π)

To find the rate of change of the function f(x, y, z) = e^(2xy)sin(z) at the point P(0, 1, π/4) in the direction of the vector u = (1, 1, 0), we can use the directional derivative formula:

D_u f(P) = ∇f(P) · u

where ∇f is the gradient of f. Evaluating at P, we get:

∇f(P) = (2y e^(2xy)cos(z), 2x e^(2xy)cos(z), e^(2xy)sin(z))|_(0,1,π/4) = (√2/2, √2/2, 1/√2)

D_u f(P) = (√2/2, √2/2, 1/√2) · (1, 1, 0) = √2

Therefore, the rate of change of f in the direction of u at P is √2.

To find the direction in which f increases most rapidly at P, we need to find the unit vector in the direction of ∇f(P). This is given by:

u_max = ∇f(P)/||∇f(P)|| = (√2/2, √2/2, 1/√2) / ||(√2/2, √2/2, 1/√2)|| = (1/√3, 1/√3, 1/√3)

Therefore, the function f increases most rapidly at P in the direction of the vector u_max = (1/√3, 1/√3, 1/√3).

The maximum rate of change of f at P is ||∇f(P)||, which is:

||∇f(P)|| = ||(√2/2, √2/2, 1/√2)|| = 1

Therefore, the maximum rate of change of f at P is 1.

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Answer: (a^2 - 4)/(x^2 - 9) + (a^2 - 2a + (2-y))/(xy + 3y) - (x-3)

Step-by-step explanation: First, you need to simplify the fraction in the first term:

(a^2 - 4)/(x^2 - 9)

Next, you simplify the fraction in the second term:

(a^2 - 2a + (2-y))/(xy + 3y)

Then you subtract (x-3) from the fractions obtained in step 1 and 2:

(a^2 - 4)/(x^2 - 9) + (a^2 - 2a + (2-y))/(xy + 3y) - (x-3)

This is the final result of the operation.

It is important to note that the answer is a simplified fraction and only valid if x does not equal 3. If x=3, the denominator x-3 would be equal to zero, which is not allowed in mathematics.

Answer:

5 8/11, 57/10, 5.724, 5.95

Step-by-step explanation:

The length of the arc with the given curve is 17.53 units

To find the length of the arc of the curve of the given function between   x = 1/3 and x = 7, we can use the arc length formula for a function given by y = f(x):

L = ∫[a, b] sqrt(1 + (f'(x))²) dx,

where [a, b] represents the interval over which we want to find the arc length.

First, let's find the derivative of \(y = 2x^\frac{3}{2}\)

\(y' = d/dx (2x^\frac{3}{2} )\\y'= 2 * (3/2) * x^\frac{3}{2}^-^1 \\y'= 3x^\frac{1}{2}\)

Now, we can substitute the values into the arc length formula:

\(L = \int [1/3, 7] \sqrt{(1 + (3x^(1/2))^2)} dx\\L= \int [1/3, 7] \sqrt{(1 + 9x)} dx.\\ L = 17.53\)

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Thus, the magnitude of value of |a+b| is Sqrt (9), which simplifies to just 3.

To find the magnitude of the sum of two vectors, we need to add the two vectors together and then take the square root of the sum of their squares.

So, let's first add the two vectors together:

a+b = (3i+4j-4k) + (-2i-6j+2k)
    = i - 2j - 2k

Now, we can find the magnitude of this vector by squaring each of its components, summing them, and then taking the square root:

|a+b| = sqrt((1^2) + (-2^2) + (-2^2))
     = sqrt(1 + 4 + 4)
     = sqrt(9)
     = 3

Therefore, the value of |a+b| is Sqrt (9), which simplifies to just 3.

In summary, the magnitude of the sum of two vectors can be found by adding the vectors together, squaring each of their components, summing them, and then taking the square root.

For the given vectors a=3i+4j-4k and b=-2i-6j+2k, their sum is i - 2j - 2k, and the magnitude of this vector is 3.

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The constant of proportionality is y divided x so in this case will be:

Answer:

C should slot on top of A.

Then D should slot in next to C of the left.

Lastly B should be beneath D and on the left of A.

Hope that makes sense.

Answer:

-9, -8, -2, 4, 9

Step-by-step explanation:

When the number is negative, the number is less when it is greater (which I know sounds like nonsense when it is written in words), for example, -9 is smaller than -8, because -9 is left of -8 on the number line.

Answer:

torn tornado if then brbdu do disney

then bring hand Disney

Answer:

Step-by-step explanation:

The ratio that you will select either a black or a white sock the first time you reach into the drawer. It can be determined by adding the number of black socks and white socks together, which gives us a total of 8 black and white socks.

The ratio or probability of selecting a black or white sock is then calculated by dividing the number of black or white socks by the total number of socks in the drawer, which is 10. Therefore, the ratio is simplified to 4:5, meaning that there is a 4 in 9 chance that you will select either a black or a white sock on your first try. This ratio can also be expressed as a percentage, which is approximately 44.44%.

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Answer:

Step-by-step explanation:

Size of the rectangle:

Area

Answer:

  123 = 55 +8.50d

Step-by-step explanation:

The cost after d days will be ...

  c = 55 +8.50d

The number of days that make the cost be 123 is ...

  123 = 55 +8.50d

Subtracting 55 and dividing by 8.50 gives the solution.

  68 = 8.50d

  68/8.50 = d = 8

Val rented the bicycle 8 days to bring her total bill to $123.

______

Additional comment

Your problem statement here would have us use "23" as the number of days she rented the bicycle. We have used "d" in our equation for that purpose. We suspect your actual problem statement may be different. You will need to use the variable it requires.

Answer:

x=2

Step-by-step explanation:

1. AB=AC (The triangle is isosceles. This means that at least two of its sides are equal in length. Looking at the triangle in the picture, sides AB and AC look the same, so we will assume that they are equal. Note that as you get more advanced, assuming isn't the best strategy. You should always try to look for hints if you are ever unsure. For example, if there are two angles that are the same measure in a triangle, the two sides that are only touching one of these angles are equal in length. This is called the base angles theorem converse.)

2. 9x-3=6x+3 (Rewrite sides AB and AC as the values given in the picture. This is called substitution.)

3. 9x=6x+6 (Add 3 to each side)

4. 3x=6 (Subtract 6x from each side)

5. x=2 (Divide each side by 3)

let me know if i did anything wrong, hope this helps!!

The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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Answer:

5?

Step-by-step explanation:

Answer:

7 alternate interior

8 vertical angles

9 corresponding

Step-by-step explanation:

Answer:

sorry i don't rlly know

Step-by-step explanation:

The triple integral is given by ∫[-1,1] ∫[-sqrt(1-y^2), sqrt(1-y^2)] ∫[-1,1-y^2-z^2] y^2z^2 dx dz dy.

The triple integral is given as ∫∫∫E y^2z^2 dV where E is the paraboloid x = 1 - y^2 - z^2 and the plane x = 0.

Find the volume of the region E which agrees with E = (x,y,z)|−1≤y≤1,−√1−y^2≤z≤√1−y^2,0≤x≤1−y^2−z^2.

Evaluate the integral ∫∫∫E y^2z^2 dV given that E is bounded by the paraboloid x = 1 - y^2 - z^2 and the plane x = 0.

Use the following procedure to find the volume of the region E:

Step 1: Rewrite the paraboloid equation in terms of z to obtain z = sqrt(1 - y^2 - x).

Step 2: Write the integral with respect to y and z to obtain ∫∫[-sqrt(1-y^2), sqrt(1-y^2)] ∫[-1,1-y^2-z^2] y^2z^2 dx dz dy.

Step 3: Use the integral with respect to x to evaluate the triple integral to get ∫[-1,1] ∫[-sqrt(1-y^2), sqrt(1-y^2)] ∫[-1,1-y^2-z^2] y^2z^2 dx dz dy.

Therefore, the triple integral is given by ∫[-1,1] ∫[-sqrt(1-y^2), sqrt(1-y^2)] ∫[-1,1-y^2-z^2] y^2z^2 dx dz dy.

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Answer:

false

Step-by-step explanation:

This is because the ones that most likely have a computer are going to play and the ones that dont arent going to play.

Answer:

Step-by-step explanation:

30x8=60x

multiply 30 and 8

240=60x

divide both sides by 60

x=4

The Gabriel synthesis of 1-bromohexane yields n-hexylamine. This is because 1-bromohexane is a primary alkyl halide and will undergo nucleophilic substitution with potassium phthalimide to form the phthalimide salt.

The product formed from the reaction between propanamide, LiAlH4, and H2O is propane-1-amine (1-aminopropane). The reaction is shown below:Propanamide + LiAlH4 + H2O → Propane-1-amine (1-aminopropane) + LiOH + Al(OH)3The product formed is an amine with the general formula RNH2. The Gabriel synthesis is a method for the preparation of primary amines. It involves the reaction of a primary alkyl halide with potassium phthalimide, followed by hydrolysis to yield the primary amine.

The Gabriel synthesis of 1-bromohexane yields n-hexylamine. This is because 1-bromohexane is a primary alkyl halide and will undergo nucleophilic substitution with potassium phthalimide to form the phthalimide salt. The phthalimide salt is then hydrolyzed to yield the primary amine, which is n-hexylamine in this case.The Gabriel synthesis is a useful method for the preparation of primary amines, particularly those that are difficult to obtain by other methods. It is a reliable and efficient method that has been widely used in organic synthesis.

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Answer:

Step-by-step explanation:

The reaction between propanamide (also known as propionamide), LiAlH4 (lithium aluminum hydride), and H2O (water) will result in the formation of the corresponding amine.

The reaction proceeds as follows:

Propanamide + LiAlH4 + H2O → Amine

The exact amine formed depends on the specific conditions and reactants used. In this case, propanamide will be reduced by LiAlH4 in the presence of water to yield the corresponding amine. The specific amine formed would be dependent on the substitution pattern of the propanamide molecule.

Regarding the Gabriel synthesis of 1-bromohexane, the Gabriel synthesis does not directly produce 1-bromohexane or any specific halide compound. The Gabriel synthesis is a method used to synthesize primary amines by reacting phthalimide with an alkyl halide under basic conditions, followed by hydrolysis to obtain the desired primary amine.

So, if we consider the Gabriel synthesis starting with 1-bromohexane, the product obtained would be a primary amine derived from the alkyl halide. The specific primary amine formed would depend on the substitution pattern of the alkyl halide used (in this case, 1-bromohexane).

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Answer:

5a^10

Step-by-step explanation:

Answer:

0.0412371134

Step-by-step explanation:

Answer:

24.25 hope that helps

Step-by-step explanation:

Based on the information presented, one cup measures a total of 14 centimeters.

To discover this, let's start by analyzing the information provided:

This means that by adding 2 cups,  the total height increases by 4 centimeters, and therefore if you add one cup this will increase by 1 centimeter.

Based on this idea, if two cups are 16 cm, let's calculate the height of one cup:

\(16 centimeters -2 centimeters = 14 centimeters\)

Based on the previous information one cup is 14 centimeters.

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Answer:

(- 2, 4 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = - 3(x + 2) ← is in point- slope form

with (a, b ) = (- 2, 4 )

The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407

A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.

Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.

Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.

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If each person receives the same amount, each person at Hugo's party will get 0.5 cups, or 1/2 cup, of fruit sorbet.

To determine how many cups of fruit sorbet each person will get, we need to convert the volume of the sorbet from gallons to cups, and then divide by the number of people who will be served.

Since 1 gallon is equal to 16 cups, we can multiply the number of gallons by 16 to get the total number of cups of sorbet. In this case, 1 gallon x 16 cups/gallon = 16 cups of fruit sorbet.

To find out how many cups of sorbet each person will get, we simply divide the total number of cups by the number of people. In this case, 16 cups ÷ 32 people = 0.5 cups/person.

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Answer:

$900

Step-by-step explanation:

Given that:

Principal, p = 5000

Interest, r = 6%

Period, t = 3 years

Using the relation :

Simple interest = Principal * Rate * Time

Simple interest = $5000 * 0.06 * 3

Simple interest = $900

Hence, amount of interest earned = $900

Answer:

All of them

Step-by-step explanation:

The ratios equivalent to 6:8 would be:

21:28

9:12

36:48

All of these answer choices would be correct because they are all multiples of 6