A store buys a remote control robot for $60. They mark it up by 30%. What will be the selling price

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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The laws of cosine , sine and the Pythagoras theorem can be used to find side length from angles .

The Law of Sines: This law states that the ratio of the sine of an angle to the length of the opposite side is constant for all sides of a triangle.

The Law of Cosines: This law states that the square of a side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of those sides and the cosine of the angle between them.

The Pythagorean Theorem: This theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides

Therefore, the three stated methods can be used to find side length from angles

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Answer:

301.44

Step-by-step explanation:

V = h x π x r^2

V = 6 x 3.14 x 4^2

V = 301.44

hope this helped!

Answer:

$142.60

Step-by-step explanation:

Answer:

descriptive statistics and inferential statistics

Step-by-step explanation:

To determine which events are mutually exclusive, we need to identify the events that cannot occur at the same time.

The options for the events are: Landing on a shaded section Landing on an even number Landing on an odd number Landing on a section that is not shaded Now let's analyze the options Landing on a shaded section (1 or 4) and landing on an even number (2 or 4) are mutually exclusive, as they cannot occur at the same time.

Landing on a shaded section (1 or 4) and landing on an odd number (1 or 3) are not mutually exclusive, as they can occur at the same time if the spinner lands on section 1. The mutually exclusive events in this scenario are:  Landing on a shaded section Landing on an even number

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From the given information, the two mutually exclusive events are:
1. Landing on a shaded section (sections 1 or 4)
2. Landing on an even number (sections 2 or 4)

Therefore, these are the two options that are mutually exclusive based on the spinner's configuration.

The term "mutually exclusive" refers to events that cannot occur at the same time. In this case, we need to determine which events on the spinner are mutually exclusive given the information provided.

To start, let's list the numbers on the spinner: 1, 2, 4, and 3. We are told that sections 1 and 4 are shaded, and the spinner is pointed at number 2.

Event 1: Landing on a shaded section.
This event includes landing on either section 1 or section 4. Since these sections are shaded, they cannot occur simultaneously with any other section on the spinner.

Event 2: Landing on an odd number.
This event includes landing on either section 1 or section 3. These sections are mutually exclusive with the even numbers, which are 2 and 4.

Event 3: Landing on a multiple of 4.
This event includes landing on section 4. Since section 4 is shaded, it cannot occur simultaneously with any other section on the spinner.

Event 4: Landing on an even number.
This event includes landing on either section 2 or section 4. These sections are mutually exclusive with the odd numbers, which are 1 and 3.

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Answer:

25

Step-by-step explanation:

2x+2+5x+3=180

7x=175

x=24

Fuzzy logic is commonly utilized in computer science, artificial intelligence, engineering, and other fields that require imprecise or ambiguous information to be handled.

The mathematical method of handling imprecise or subjective information is fuzzy logic.What is the mathematical method of handling imprecise or subjective information?The mathematical method of handling imprecise or subjective information is fuzzy logic. It is a form of reasoning that allows for the management of approximate, subjective, or ambiguous information to be carried out using a mathematical model. It is a soft computing technique that uses artificial intelligence to model uncertainty and imprecision in data. Fuzzy logic is commonly utilized in computer science, artificial intelligence, engineering, and other fields that require imprecise or ambiguous information to be handled.

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If we multiply 21 by 4, we get 84 .the value of k is 84, as it is 4 times as many as 21.

Multiplication is a mathematical operation that combines two or more numbers to find their product. It is an operation of repeated addition or scaling up of a number. In multiplication, the numbers being multiplied are called factors, and the result is called the product. Multiplication is denoted by the "×" symbol or by placing the numbers adjacent to each other.

The value of k is 4 times as many as 21," we can break it down as follows:

"4 times" means multiplication, where we are multiplying a number by 4.

"As many as" implies equality, meaning the value on one side of the comparison is equal to the value on the other side.

"21" is a specific number mentioned in the statement.

Therefore,  if we multiply 21 by 4, we get 84 .the value of k is 84, as it is 4 times as many as 21.

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The four consecutive odd integers are -11, -9, -7, and -5.

Let's define the consecutive odd integers and set up an equation using the given conditions:
Let the four consecutive odd integers be:
x, x+2, x+4, x+6

The problem states that 5 times the sum of the first two is 5 less than 19 times the fourth:
5(x + (x+2)) = 19(x+6) - 5
Now, let's solve for x step-by-step:
Distribute the 5 and 19:
5(2x + 2) = 19x + 114 - 5
Simplify further:
10x + 10 = 19x + 109
Move all terms with x to one side by subtracting 10x from both sides:
10 = 9x + 109

Subtract 109 from both sides:
-99 = 9x
Divide by 9:
x = -11
Now that we have x, we can find the consecutive odd integers:
-11, -9, -7, -5.

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Answer:

15/8 cup or \(1\frac{7}{8}\) cup

Step-by-step explanation:

3/4 = 0.75

Ratios:

\(\frac{0.75}{12} =\frac{x}{30} \\\\12x=22.5\\x= 15/8\)

Answer:

\(\frac{15}{8}\) cup

This can also be expressed as the following:

\(1\frac{7}{8}\) cup

Step-by-step explanation:

This problem involved ratios. A ratio is a way of expressing one value compared to another when the two values being compared are of a different unit. The problem gives one the general ratio of the following,

\(sauce (cups) : people (number)\)

Substitute in the given values, since one knows the units, it is unnecessary to write it,

\(\frac{3}{4}:12\)

In this problem, the ratio of cups of sauce to people is constant, therefore one can say that the amount of sauce that (12) people need is proportional to the amount of sauce that (30) people need. Thus, set up an equation to solve for the unknown amount of sauce that (30) people need. Let parameter (x) represent the unknown amount of sauce.

\(\frac{3}{4} : 12 = x : 30\)

Use cross products to simplify,

\((12)(x)=(\frac{3}{4})(30)\)

Simplify,

\(12x=\frac{45}{2}\)

Inverse operations,

\(12x = \frac{45}{2}\)

Multiply both sides by (2)

\(24x=45\)

Divide both sides by (24),

\(x=\frac{45}{24}\)

Simplify,

\(x=\frac{15}{8}\)

Answer:

13/99

Step-by-step explanation:

Answer: 13/99

Step-by-step explanation:

Answer: V = 378 i think

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Slope intercept form is

Slope= -3 passes through point (15, -50)

Slope = 1/2 with and x-intercept of (28,0)

Slope = 7 passes through (1,2)

Slope = -4 passes through (-2,5)

Slope = -2 with x-intercept of (-3,0)

Slope = 34 passes through the origin

The Answer for #1 is found as follows:

Perimeter is the sum of all sides so...

8x+2+5x-4+9x+3=?

Group together the x's and the numbers:

8x+5x+9x+2-4+3=?

Answer = 22x+1

The Answer for #2 is found as follows:

Area of a triangle is 1/2 base times height

The bottom of the triangle is 4t, but we know t is 4 inches, so the bottom is 16.

The height is 7 times t which is 4... so the height is 28 inches.

using the formula, it will be 1/2(16)(28). The answer will be 224 inches squared.

The Answer for #2 is found as follows:

Polynomials cannot have squares or fractions. So the 2nd, 3rd, and 4th options are all not polynomials.

Answer:

by frying it duh

Step-by-step explanation:

Answer:

they are born from taking fermented eggs and heating them up in a incubater

i would know i actualy have chickens oh and it has to be a chicken egg Step-by-step explanation:

The answer choice which represents a function with the ordered pair (4, 8) as a solution is; Choice C; 2x = y.

It follows from the task content that the function which has the given ordered pair; (4, 8) as a solution is to be determined.

On this note, by observation; the answer choice C represents an equation whose solution includes (4, 8).

By checking; we have; 2x = y;

2 (4) = 8; 8 = 8 which holds true.

Consequently, answer choice C is correct.

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Answer:

6 people

Explanation

First step would be to change the % into a number to help us out.

97% = 97/ 100 = 0.97

after that we need to multiply by the total number of costumers

210 x 0.97 = 203.7

since you cant have a 0.7 part of a person we say 204 will buy the store brand milk

after that we subtract the total costumers from the store brand costumers and we get our answer

210 -204 = 6

The particular solution to the differential equation is given by: y(t) = y_ h(t) + y_ p(t) = c exp (-5/2 t) + t + 3Here, y_ h(t) is the homogeneous solution, which we don't need to find for this problem.

To solve the given differential equation, we'll need to use the method of undetermined coefficients. In this method, we assume that the particular solution to the differential equation has the same form as the forcing term. Here's how we can solve the given differential equation: Identify the forcing term and its derivatives. The forcing term is given by: f(t) = 68 - 20tWe can find its first derivative as follows: f'(t) = -20We can find its second derivative as follows: f''(t) = Guess the form of the particular solution We assume that the particular solution has the same form as the forcing term.

Since the forcing term is a first-degree polynomial, we assume that the particular solution also has the form of a first-degree polynomial: y_ p(t) = At + B Here, A and B are constants that we need to determine. Find the derivatives of the assumed form of the particular solution. Here are the first and second derivatives of the assumed form of the particular solution: y_ p(t) = At + B ==> y_ p'(t) = A ==> y_ p''(t) = 0. Substitute the assumed form of the particular solution and its derivatives into the differential equation Substituting y_ p(t), y_ p'(t), and y_ p''(t) into the differential equation, we get:8A + 20(At + B) = 68 - 20t Simplifying the above equation, we get: (8A + 20B) + (20A - 20)t = 68Comparing the coefficients of t and the constant terms on both sides,

we get two equations:8A + 20B = 68 (1)20A - 20 = 0 (2)Solving equation (2) for A, we get: A = 1 Substituting A = 1 into equation (1), we get:8 + 20B = 68Solving for B, we get: B = 3. Write the particular solution to the differential equation Substituting A = 1 and B = 3 into the assumed form of the particular solution, we get :y_ p(t) = t + 3Therefore, the particular solution to the differential equation is given by: y(t) = y_ h(t) + y_ p(t) = c exp (-5/2 t) + t + 3Here, y_ h(t) is the homogeneous solution, which we don't need to find for this problem.

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The answer to this question is not as simple as a yes or no.

To determine if the medical care system is more efficient today than in the past, we must look at the effectiveness of the system in terms of both quality and cost. In terms of quality, today's medical care has certainly improved. Healthcare professionals are more extensively trained, technology has advanced, and medical practices are more evidence-based. In terms of cost, however, it is difficult to measure efficiency. While advancements in technology and research may have improved the quality of care, they have also driven up the cost of medical care. The cost of medical care has been increasing faster than inflation and wages. It is difficult to determine if the medical care system is more efficient today than in the past without taking into account both quality and cost.

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The volume of a rectangular prism is given by the function x³ - 9x²+6x - 16  . The length of the box is represented by  x², and the height is represented by x - 8. The task is to determine the expression that represents the width of the box.

To find the expression representing the width of the rectangular prism, we need to divide the given volume function by the expressions for the length and height. The volume function is x³ - 9x²+6x - 16 , the length is x², and the height is x - 8. Dividing the volume function by the length and height expressions will result in the expression for the width. By performing the division operation, we can simplify the expression and determine the width of the rectangular prism in terms of x. This width expression will provide a mathematical representation of the width based on the given dimensions and volume function.

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Answer:

The area of the element is approximately 19314.164 square milimeters.

Step-by-step explanation:

We proceed to calculate the area highlighted on image:

1) Calculate the area of the square:

\(A_{\square} = (300\,mm)^{2}\)

\(A_{\square} = 90000\,mm^{2}\)

2) Calculate the area of each circle section:

\(A_{sc} = \frac{\pi}{4}\cdot (150\,mm)^{2}\)

\(A_{sc} = 17671.459\,mm^{2}\)

3) Subtract the areas found in 2) from the area found in 1):

\(A = A_{\square}-4\cdot A_{sc}\)

\(A = 19314.164\,mm^{2}\)

Answer:

Add 37 on both sides.

Subtract x from both sides.

LHS=RHS for all values of x. It means equation x-37=x-37 has infinite many solutions.

All options are correct.

Step-by-step explanation: Hope this helped you!

Answer:

Step-by-step explanation:

Answer:

answer is c

I took a quiz with the question and got 100%

Answer:

1; 1

2:3

3:9

4:27

5:81

6:243

7:729

8:2,187

9:6,561

10:19,683

11:59,049

12:177,147

(a) The interpret the p-value in context of 0.0016 indicates that the probability of obtaining a sample mean hemoglobin level of 11.3 g/dl or lower.

(b) The conclusion would make if a 0.05 is rejected because the p-value (0.0016) is less than the significance level.

If using a significance level of 0.01, the null hypothesis would still be rejected because the p-value is less than 0.01.

(a) The p-value of 0.0016 indicates that the probability of obtaining a sample mean hemoglobin level of 11.3 g/dl or lower, assuming that the true population mean is 12 g/dl (or higher), is only 0.0016. This suggests that the observed difference between the sample mean and the hypothesized population mean is statistically significant and unlikely to be due to chance alone.

(b) If using a significance level of 0.05, the null hypothesis (that the true population mean is 12 g/dl or higher) would be rejected because the p-value (0.0016) is less than the significance level. Therefore, it can be concluded that the sample provides evidence that the true population mean hemoglobin level is lower than 12 g/dl.

If using a significance level of 0.01, the null hypothesis would still be rejected because the p-value is less than 0.01. In this case, the evidence is even stronger, and the conclusion that the true population mean is lower than 12 g/dl would be even more robust.

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1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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Answer:

33 feet

Step-by-step explanation:

\(total \: lengt h \: of \: street = 833 \: ft\)

\(useable \: length \: of \: street = 833 - 8 = 825 \: ft\)

\(width \: of \: front \: yard = \frac{825}{25} \: ft\)

\( = 33\: ft\)