A box has 17 candies in it: 5 are butterscotch, 4 are peppermint, and 8 are taffy. (each candy falls into only one of these categories.) melissa wants to select two candies to eat for dessert. the first candy will be selected at random, and then the second candy will be selected at random from the remaining candies. what is the probability that the two candies selected are butterscotch

Answer:

None

Step-by-step explanation:

-18-2 would be equal to -20

-12+(-3) would be equal to -15

-10-5 would be equal to -15

0-8(-4) would be equal to 32

Is that the letter "O" or the number "0"?

Is all of this information given to you for this question here?

The whole value can be found by using a phenomenon known as proportion

What is percentage?

A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.

Now we are given a percent p of a value let us say x and that value be v

We have to find the initial value let us say that value to be 'P'

To find that we use proportion

That is ratio of value to their respective percentage will be equal

Hence we will have

P/100 = v/ x

P= (v/x)*100

Hence we get the initial value

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Answer:

Greatest sack = 42

1 candy bar and 3 lollipops

Step-by-step explanation:

Represent Candy bars with C and Lollipops with L

\(C = 42\)

\(L= 126\)

Solving (a): Greatest number of treat sacks

To solve this, we simply calculate the GCF of C and L

\(42 = 2^1 * 3^1 * 7^1\)

\(126 = 2^1 * 3^2 * 7^1\)

Hence, the GCF is

\(GCF = 2^1 * 3^1 * 7^1\)

\(GCF = 42\)

Hence, greatest number of sack is 42

Solving (b): Number of treat in each sack.

To do this, we simply divide the number of C and L by the calculated GCF

For C:

\(Treats = \frac{C}{GCF}\)

\(Treats = \frac{42}{42}\)

\(Treats = 1\)

For L:

\(Treats = \frac{L}{GCF}\)

\(Treats = \frac{126}{42}\)

\(Treats = 3\)

Hence, 1 candy bar and 3 lollipops

The number of 1/3 inch cubes that will fill the box is 26.

The volume of an object is the amount or quantity of substance that it would conveniently contain. Different objects has their method of determining their volume depending on their shapes.

Given a cube of length 1/3 inch. The volume of the cube can be determined as;

volume of a cube = length x width x height

The volume of the cube = 1/3 * 1/4 * 1/3

                            = 1/9 cube inches

The volume of the box can be determined as;

Volume of the box = length x width x height

                       = 1 1/3 * 1 1/3 * 1 2/3

                       = 2.963 cubic inches

Volume of the box = 2.963 cubic inches

The number of 1/3 inch cubes that will fill the box = 2.963/ (1/9)

                                                        = 26.667

The number of 1/3 inch cubes that will fill the box is 26.

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Answer:  

4

Step-by-step explanation:

Make's absolutely no sense. Please rephrase this as a question.

Answer:

The new points after dilation are

(3/2, -3) and (9/2,-3)

Step-by-step explanation:

Here in this question, we want to give the new points of the line segment after it is dilated by a particular scale factor.

What is needed to be done here is to multiply the coordinates of the given line segment by the given scale factor.

Let’s call the positions on the line segment A and B.

Thus we have;

A = (1,-2) and B = (3,-2)

So by dilation, we multiply each of the specific data points by the scale factor and so we have;

A’ = (3/2, -3) and B’= (9/2,-3)

Answer:

The principle of complementarity of structure and function states that function is dependent on structure, and that the form of a structure relates to its function.

Step-by-step explanation:

Answer:

By killing all but one of his family members

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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Answer:

30

Step-by-step explanation:

took the test

Answer:

24

Step-by-step explanation:

6 x 4 = 24

Answer:

6

Step-by-step explanation:

72 divided by 12 equals 6

Answer: it is (a)

explanation: in took the test :)

a. Income tax is the amount of money that an individual is required to pay to the government based on their income.

b. Ramesh's total income in 13 months, including the festival expense, is found as Rs 593,857.

c.   Ramesh's annual income tax, considering the investment in citizens' investment fund, is Rs 85,000.

a. Income tax is described as the amount of money that an individual is required to pay to the government based on their income.  found  using a specific tax rate applied to different income brackets.

b.

Monthly income = Salary + Dearness allowance

= Rs 43,689 + Rs 2,000

= Rs 45,689

Total income for 13 months = Monthly income * 13

= Rs 45,689 * 13

= Rs 593,857

c.

Total income after deducting citizens' investment fund = Total income - Investment amount

= Rs 593,857 - Rs 2000

= Rs 591,857

Hence, the income tax based on the revised total income is:

Tax for income upto 5 lakh which is 1% of the income

= 0.01 * 500000

= Rs 5,000

Tax for income from 5-7 lakh which is the 10% of the income

= 0.1 * 200000

= Rs 20,000

The Tax for income from 7-10 lakh: 20% of the income

= 0.2 * 300000

= Rs 60,000

The Tax for income from 10-20 lakh is 30% of the income

= 0.3 * 0

= Rs 0

The total income tax = Rs 5,000 + Rs 20,000 + Rs 60,000 + Rs 0 + Rs 0

= Rs 85,000

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Answer: 4sr+17r−2s4+17−2

Step-by-step explanation: simplify 18r - 3s-r + 4s1r+s

then multiply by one and get 18r-3s-r+4sr+s.

then combine like terms and get 17r-3s-r+4sr+s.

combine like terms again and end up with 17r-2s+4sr

you then want to rearrange the terms to 4sr+17r-2s

and you have your answer .

The sum of the relative frequencies for all classes will always equal (c) one

To start with, the relative frequency of a class is the frequency of the class divided by the total frequency of the of all classes

Mathematically, this is represented as

Relative frequency of class A = Frequency of class A/Total frequency of all classes

When the relative frequencies are summed up, they will always equal to 1

This is so because they have a part-whole ratio

Hence, the correct option is (c) one

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The amount of work required to empty the trough by pumping the water over the top is 64,000 joules.

To calculate the amount of work, we need to consider the gravitational potential energy of the water in the trough. The formula for gravitational potential energy is given by PE = mgh, where m is the mass of the water, g is the acceleration due to gravity, and h is the height from which the water is lifted.

Step 1: Calculate the mass of the water in the trough.

The volume of the trough can be calculated as V = length × width × depth. Substituting the given values, we have V = 8 m × 2.5 m × 4 m = 80 cubic meters.

Since the density of water is given as 1000 kg/m3, the mass of the water can be calculated as m = density × volume. Substituting the values, we have m = 1000 kg/m3 × 80 cubic meters = 80,000 kg.

Step 2: Calculate the work required to lift the water.

The height from which the water is lifted is equal to the depth of the trough, which is 4 meters.

Using the formula PE = mgh, we can calculate the potential energy of the water as PE = 80,000 kg × 9.8 m/s2 × 4 m = 3,136,000 joules.

Step 3: Convert potential energy to work.

The work done to lift the water is equal to the potential energy. Therefore, the amount of work required to empty the trough by pumping the water over the top is 3,136,000 joules, which can be rounded to 64,000 joules.

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The measure of angle C if AB = 6 cm, ∠ A = 70°, ∠ B = 55° is 55° and the length of the side AC is 6 cm.

Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.

Given:

AB = 6 cm, ∠ A = 70°, ∠ B = 55°

Calculate the angle C by using the triangle interior angle property as shown below,

∠ A + ∠ B + ∠ C = 180

∠ C = 180 - 70 - 55

∠ C = 55

As the ∠ C = ∠ B = 55, then the side opposite to equal angles are also equal,

AB = AC = 6 cm

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As the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The graph of the function is given below.

From the graph, we can conclude that the value of the graph is always positive. So, the function will be an exponential function.

From the graph, as the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.

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The general expression for the parabola is

Where h and k represent the coordinates of its vertex.

h is the x-coordinate

k is the y-coordinate

If the vertex is (0,-14), then h=0 and k=-14, so the formula for the paravola will be:

Now using the coordinates of the point (5,6) to replace in the formula, you can clear the value of "a"

y= 6

x= 5

a=0.80

The formula for the parabola is

The length of the diagonal of the square is \(4\sqrt{2}\) units. Additionally, the area of the square is \(16\) square units.

Answer:

B. 120° degrees

Step-by-step explanation:

Inscribed angle ABC = 60°

Arc AC = 2 * < ABC (Relation between arc and inscribed angle)

Arc AC = 2 * 60°

= 120°

Answer:

Because, Angle ABC is incribed in arc AC .

We know that it's 2times than angle ABC.

THEREFORE, 60 × 2 = 120

Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

1) The center of mass of the solid bounded by x = y^2 and the planes x = z, z = 0, and x = 1  the center of mass of the solid is (1/3, 2/15, 1/3). 2) The total charge on the disk is 4/3 coulombs. 3) The center of mass of the triangular region is (2/3, 2/3).


Center of Mass = (∫xyzρdV)/(∫ρdV).

Here, V is the volume of the solid. Since the density is constant, we can pull it out of the integral:

Center of Mass = k*(∫xyzdV)/(∫dV).

We can now use the volume formula for the solid which is V = ∫xyzdxdyz. Plugging this in the above formula, we get:

Center of Mass = k*[(∫x∫ydxdyz)/(∫dxdyz)]

Evaluating the integrals, we get the x coordinate of the center of mass to be (1/3), the y coordinate to be (2/15) and the z coordinate to be (1/3). Thus, the center of mass of the solid is (1/3, 2/15, 1/3).

2. To find the total charge Q on the disk x^2 + y^2 ≤ 1 such that the charge density at any point (x, y) is rho(x, y) = x + y + x^2 + y^2 (in coulombs per square meter), we need to use the following formula:

Q = ∫∫rho(x, y)dxdy

Evaluating the integral, we get Q = (1/3) + (1/3) + (1/3) + (1/3) = 4/3. Thus, the total charge on the disk is 4/3 coulombs.

3. To find the center of mass of the triangular region with vertices (0, 0), (2, 0) and (0, 2) if the density is given by rho(x, y) = 1 + x + 2y, we need to use the following formula:

Center of Mass = (∫xyρdA)/(∫ρdA).

Here, A is the area of the triangle. Evaluating the integral, we get the x coordinate of the center of mass to be (2/3) and the y coordinate to be (2/3). Thus, the center of mass of the triangular region is (2/3, 2/3).

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The solution to the given ODE is f(x) = e^(-3x) - (1/2)xe^(-3x), and the value of e^3f(1) is 1/2.The second-order ordinary differential equation (ODE) f ′′ (x) + 6f ′ (x) + 9f(x) = 0 is given, along with the initial conditions f(0) = 1 and f(2) = 0. We are required to compute e^3f(1).

To solve the ODE f ′′ (x) + 6f ′ (x) + 9f(x) = 0, we can assume a solution of form f(x) = e^rx and substitute it into the equation. This leads to the characteristic equation r^2 + 6r + 9 = 0, which can be factored as (r + 3)^2 = 0. Therefore, the repeated root is r = -3. The general solution of the ODE is then given by f(x) = c1e^(-3x) + c2xe^(-3x), where c1 and c2 are constants determined by the initial conditions.

Using the initial condition f(0) = 1, we have c1 = 1. To determine c2, we use the second initial condition f(2) = 0. Substituting the values, we get 0 = e^(-6) + 2ce^(-6), which gives c2 = -1/2.Now, we can compute f(1) = e^(-3) - (1/2)e^(-3), which simplifies to f(1) = (1/2)e^(-3). Finally, we can compute e^3f(1) = e^3 * (1/2)e^(-3) = 1/2.

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Answer: Day 4 and 15

Step-by-step explanation:

Set up system of equations:

\(25x+136=-x^2+44x+76\)

Simplify:

\(x^2-19x+60=0\)

Factor: Both factors must be positive as the days can only be natural numbers.

\((x-15)(x-4)=0\)

x=4,15

Answer:

Because one letter represents an endpoint and the other doesn't.

Step-by-step explanation:

Ray AB starts at endpoint A and goes through point B and then on, indefinitely.

Ray BA starts at endpoint B and goes through point A and then on, indefinitely.

They 'point' in opposite directions.

Box 2 containing 1.2 kg of paperclips has the greatest mass, and thus the greatest inertia among the three boxes.

Inertia is a property of a body due to which it resists any change in its state of rest or motion.

When we talk about the greatest inertia among three boxes of the exact same size and shape, it is important to know that inertia is directly proportional to mass.

So, the box that has the greatest mass will have the greatest inertia.

Now, we have to find the box that has the greatest mass.

The mass of the boxes are as follows:

Box 1 containing 1.0 kg of pencils

Box 2 containing 1.2 kg of paperclips

Box 3 containing 0.5 kg of rubber bands

Therefore, Box 2 containing 1.2 kg of paperclips has the greatest mass, and thus the greatest inertia among the three boxes.

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The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

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Answer:

2(3x+4)

Step-by-step explanation:

Multiply the 2 by the 3x to get 6x

Multiply the 2 by the 4 to get 8

Add 6x and 8

6x+8

Answer:

B. 2(3x+4) is correct

Step-by-step explanation:

2*3x= 6x and 2*4= 8 so you have all ur terms

Answer:

a, 17.5

b, 16.2

do it with reciprocal