a 18 The number 21 has no composite factors. What is another number that has no composite factors? A. 27- B. 52- C. 77- D. 81-​

Answer:

I think the answer is

1/2x + 5

Step-by-step explanation:

Marcia states that some numbers have an odd number of factors so Marcia is correct

Factors

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers  are multiplying are factors of the product because they are divisible by the product. There are two methods of finding factors multiplication and division.

Odd Number and Even Number

Odd numbers are those numbers that cannot be divided into two equal parts, whereas even numbers are those numbers that can be divided into two equal parts. Examples of odd numbers are 3, 5, 7, 9, 11, 13, 15 Examples of even numbers are 2, 4, 6, 8, 10, 12, 14

Rob states that all numbers have an even number of factors.

Marcia states that some numbers have an odd number of factors.

Consider the number 36. It is given that,

1 × 36 = 36

2 × 18 = 36

3 × 12 = 36

4 × 9 = 36

6 × 6 = 36

The repeated factor is counted only once. So, the factors of 36 are given by 1, 2, 3, 4, 6, 9, 12, 18, and 36.

This tells us that 36 has 9 factors and has an odd number of factor. Then Marcia is correct

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A test of nonverbal intelligence is a type of cognitive assessment that measures an individual's ability to solve problems and think abstractly without the use of language.

Unlike traditional intelligence tests that rely heavily on verbal abilities such as vocabulary, reading, and verbal reasoning, nonverbal intelligence tests use visual-spatial and abstract reasoning tasks that do not require the use of language.

Nonverbal intelligence tests can be particularly useful for individuals who have language or communication difficulties, such as those with speech and language disorders, or those who are non-native speakers of the language in which the test is administered. They can also be used to assess individuals who have difficulty with traditional tests due to visual or hearing impairments.

Examples of nonverbal intelligence tests include Raven's Progressive Matrices, the Naglieri Nonverbal Ability Test (NNAT), and the Universal Nonverbal Intelligence Test (UNIT). These tests typically involve completing visual pattern recognition and completion tasks, spatial reasoning tasks, and other nonverbal problem-solving tasks.

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The number 71.38 can be written in word form as "seventy-one and thirty-eight hundredths." The correct answer is option D.

In decimal notation, the number 71.38 can be broken down into its whole number and decimal parts. The whole number part is 71, and the decimal part is 0.38.

In a decimal number, the digits to the right of the decimal point represent fractions of a whole. Each digit to the right of the decimal point has a place value that is a power of 10.

In word form, the decimal part 0.38 is read as "thirty-eight hundredths." Therefore, when combined with the whole number 71, the correct word form is "Seventy-one and thirty-eight hundredths."

Therefore option D is the correct answer.

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To find the percentage of girls in class A, we need to divide the number of girls by the total number of students and then multiply by 100. This gives us:

14 / 20 * 100 = 70%

To find the percentage of girls in class B, we need to divide the number of girls by the total number of students and then multiply by 100. This gives us:

15 / 25 * 100 = 60%

Thus, the percentage of girls in class A is 70%, and the percentage of girls in class B is 60%.

As a result, the solid's volume in the first octant, which is restricted by the paraboloid z = 4 + 2 x + 2 y, is 9.

We must determine the limits of integration for x, y, and z in order to determine the volume of the solid in the first octant bounded by the paraboloid z = 4 + 2x + 2y + 2 and the plane z = 10.

At z = 10, where the paraboloid and plane overlap, we put the two equations equal and find z:

4 + 2x^2 + 2y^2 = 10

2x^2 + 2y^2 = 6

x^2 + y^2 = 3

This is the equation for a circle in the xy plane with a radius of 3, centred at the origin. We just need to take into account the area of the circle where x and y are both positive as we are only interested in the first octant.

Integrating over the circle in the xy-plane, we may determine the limits of integration for x and y:

∫∫[x^2 + y^2 ≤ 3] dx dy

Switching to polar coordinates, we have:

∫[0,π/2]∫[0,√3] r dr dθ

Integrating with respect to r first gives:

∫[0,π/2] [(1/2)(√3)^2] dθ

= (3/2)π

So the volume of the solid is:

V = ∫∫[4 + 2x^2 + 2y^2 ≤ 10] dV

= (3/2)π(10-4)

= 9π

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Since 3 has the highest frequency, the mode is 3.Now, the curve is positively skewed if mean is bigger than mean.

Total number is a term used to refer to the sum of two or more individual elements. It is commonly used in the context of mathematics and can refer to the result of addition, subtraction, multiplication, or division. For example, the total number of apples in a basket could be five, the total number of days in a week could be seven, and the total number of people in a family could be four. In any case, the total number is the sum of all the individual elements that are being considered.

Presented to us is a distribution:

{4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}

We must determine the mean.

Mean is equal to the sum of all observations divided by the total number of observations.

Mean = 52/16

Mean = 3.25

We now determine the mode, which is the observation with the highest frequency, or how frequently it has occurred.

observations per unit of time

4.5 2

3 4

1 2

2 3

4 3

6 1

5 1

Since 3 has the highest frequency, the mode is 3.
Now, the curve is positively skewed if mean is bigger than mean.

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Complete questions as follows-
What is the mean of the given distribution, and which type of skew does it exhibit?
{4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2}

WHAT IS THE MEAN? and WHAT TYPE OF SKEW EXHIBITS? negative, positive, symmetric, zero etc..

Answer:Height:  

15.8  meters

Explanation: For a rectangular prism:  XXX  Volume  =  height  ×  width  ×  depth  and  XXX  Area (of base)  =  width  ×  depth  ⇒  height  =  Volume  Area  =  306.52

19.4  =  15.

Answer:  100 CUBIC METERS

Step-by-step explanation:

Answer:

x = ±2√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

4x² - 5 = 75

Step 2: Solve for x

Answer:

\(4x^{2} = 75 - 5\)

\(\sqrt{4x^{2}} = \sqrt{70}\)

\(4x/4=8.366600265/4\)

\(x=2.1 rounded\)

Step-by-step explanation:

Awnser:

61 ft

Step-by-step explanation:

To find the perimeter add all the lengths of the sides together. The perimeter is just the length around the outside of the shape.

6.2 + 16.6 + 6.2 + 15 + 17 = 61ft

Answer:

The stationary matrix is:

S = [0.2791, 0.7209]

Step-by-step explanation:

The transition matrix, P is:

\(P=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\)

The stationary matrix S for the transition matrix P would be obtained by computing k powers of P until all the two rows of P are identical.

Compute P² as follows:

\(P^{2}=\left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\)

    \(=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right]\)

Compute P³ as follows:

\(P^{3}=P^{2}\times P\)

    \(=\left[\begin{array}{cc}0.2932&0.7068\\0.2736&0.7264\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right]\)

Compute P⁴ as follows:

\(P^{4}=P^{3}\times P\)

    \(=\left[\begin{array}{cc}0.2810&0.7190\\0.2783&0.7217\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right]\)

Compute P⁵ as follows:

\(P^{5}=P^{4}\times P\)

    \(=\left[\begin{array}{cc}0.2793&0.7207\\0.2790&0.7210\end{array}\right]\times \left[\begin{array}{cc}0.38&0.62\\0.24&0.76\end{array}\right]\\\\=\left[\begin{array}{cc}0.2791&0.7209\\0.2791&0.7209\end{array}\right]\)

For k = 5, we get both the rows identical.

The stationary matrix is:

S = [0.2791, 0.7209]

Answer:

2 B l x Pattinson f s rıhtım dese rüyamın merhaba canım 53 nasılsın nasılsın bir yöntem

The equation to model the depth (d) of the snow n days after the storm

d = 15-3n

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol %.

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

20% of 15 = (20/100)*15 = 3

The equation to model the depth (d) of the snow n days after the storm

d = 15-3n

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Hey there!

-y - (-3) = 7

-y + 3 = 7

-y = 7 - 3

-y = 4

=> y = -4

Hope it helps ya!

Together, it will take the two machines 102 minutes to produce 5100 cans.

To solve this problem, we will use the work formula,

which is Work = Rate × Time.

1. First, let's find the rate of each machine.

New machine rate: 5100 cans / 170 minutes = 30 cans/minute

Old machine rate: 5100 cans / 255 minutes = 20 cans/minute

2. Now, let's find the combined rate of both machines. Combined rate: New machine rate + Old machine rate = 30 cans/minute + 20 cans/minute = 50 cans/minute

3. Finally, we will use the combined rate to find the time it takes for both machines to produce 5100 cans together.

Time = Work / Combined rate = 5100 cans / 50 cans/minute = 102 minutes

Together, it will take the two machines 102 minutes to produce 5100 cans.

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Answer:

6 2/5=x

Step-by-step explanation:

Total price paid by Michael for the basket of mangoes is $4.48.

For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -

Total price = 4 + 12%×4

Calculating the percentage of sales tax on Right Hand Side of the equation

Total price = 4 + 12×4/100

Solving the percentage part on Right Hand Side of the equation

Total price = 4 + 0.48

Performing addition on Right Hand Side of the equation

Total price = $4.48

Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.

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A. The units of these decision variables are in quantities (pieces).

B. Maximize Profit = 20x1 + 85x2 + 35x3

The objective function calculates the total revenue by multiplying the unit selling price of each product with its corresponding quantity (decision variable). The goal is to maximize this total profit.

a) Decision Variables:

Let's define the decision variables as follows:

x1: The number of fabric necklaces produced.

x2: The number of bags produced.

x3: The number of scarves produced.

The units of these decision variables are in quantities (pieces).

b) Objective Function:

The objective function represents the goal or objective to be optimized. In this case, the objective is to maximize the total profit generated from the sale of necklaces, bags, and scarves. The objective function can be written as follows:

Maximize Profit = 20x1 + 85x2 + 35x3

The objective function calculates the total revenue by multiplying the unit selling price of each product with its corresponding quantity (decision variable). The goal is to maximize this total profit.

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The cost to play 79 games would be $7.90. The expected money to be received can be calculated by multiplying the probability of winning (which is 1/8) by the reward ($1.00) and then multiplying it by the number of games played (79), resulting in an expected amount of $9.875.

The cost to play a single game is given as $0.10. To calculate the cost to play 79 games, we can multiply the cost per game by the number of games, which gives us $0.10 * 79 = $7.90.

In each game, the probability of getting three heads (HHH) is 1/8, as there are 8 possible outcomes \((2^3)\) and only one outcome results in three heads. The reward for getting three heads is $1.00.

To calculate the expected money to be received, we can multiply the probability of winning (1/8) by the reward ($1.00), which gives us (1/8) * $1.00 = $0.125.

Finally, we multiply the expected value per game ($0.125) by the number of games played (79), resulting in $0.125 * 79 = $9.875. Therefore, the expected amount of money to be received after playing 79 games is $9.875.

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Answer: 60

Step-by-step explanation:

distribute than combine like terms

6x^2-19x+10

Answer:  35,000

Step-by-step explanation:

Answer:

2^16 or 65,536

Step-by-step explanation:

First, you'll find the answers to 2^6 and 2^10

2^6=64 while 2^10=1024, then you multiply 1024 by 64 which gives you 65,536.

**or, the easier way is to just add the two exponents together since you see that the bases are the same.

It would take (6π/5) seconds to bend a straight wire into a circle of radius 6 using a machine that bends wire at a rate of 10 unit(s) of curvature per second.

To calculate the time it takes to bend a straight wire into a circle of radius 6 using a machine that bends wire at a rate of 10 unit(s) of curvature per second, we need to find the length of the wire and then divide it by the rate of curvature.

The circumference of a circle with a radius of 6 is 2πr = 2π(6) = 12π. Therefore, the length of the wire that needs to be bent is 2πr = 12π.

Now we can calculate the time it takes to bend the wire by dividing the length by the rate of curvature:

Time = length of wire / rate of curvature = (12π units) / (10 units/second)

Simplifying, we get:

Time = (6π/5) seconds

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Answer:

See images

Step-by-step explanation:

Either one should work.

An isosceles triangle is a triangle where two angles are the same & the third angle is the supplement of their sum.

If you wanted the matching angles to be 70 & 70, your final angle would be 40 because:

70 + 70 = 140

180 - 140 = 40

If you wanted the supplement angle to be 70, your matching angles would be 55 & 55 because:

180 - 70 = 110

110 / 2 = 55

Hope this helped. :)

Answer:

\(\frac{45}{47m^3}\)

Step-by-step explanation:

Given the following question:

\(\frac{45m^2}{47m^5}\)

In order to simplify fractions with exponents we simply subtract the exponents.

\(\frac{45m^2}{47m^5}\)
\(5-2=3\)
\(\frac{45}{47m^3}\)

Hope this helps.

Answer:

y=-x

Step-by-step explanation:

since the slope has a -1

a)number of people increased from 3 to 4. b)the number of cookies per person decreased from 4 to 3. c) as the number of people increases, the number of cookies per person decreases.

A. Before Blake joins, there are 3 people sharing 12 cookies, which can be represented by a ratio of 3:12. After Blake joins, there are 4 people sharing the same 12 cookies, resulting in a ratio of 4:12. Comparing the two ratios, we observe that the number of people increased from 3 to 4.

B. Before Blake arrives, each person receives 4 cookies out of the 12 available, which can be represented by a ratio of 4:12. After Blake arrives, the same 12 cookies are shared among 4 people, resulting in a ratio of 3:12. Comparing the two ratios, we notice that the number of cookies per person decreased from 4 to 3.

C. From the ratios observed, we can conclude that as the number of people increases, the number of cookies per person decreases. However, it's important to note that this pattern may not always be true in all scenarios. It specifically holds true in this particular scenario where the initial distribution was equal among the three friends, and the addition of Blake altered the distribution. In general, the ratio between the number of people and the quantity being divided may vary depending on the specific circumstances.

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Hello User!

Answer: $659.83

Steps:

1.) Previous balance = 3529.30

APR = 18.6%, thus monthly interest rate = 18.6 / 12 = 1.55%

Previous balance + interest = 3529.30(1 + 0.0155) = 3584.00

New balance after transaction = 3584.00 + 148 = 3732.00

2.) Previous balance = 5834.53

APR = 20.4%, thus monthly interest rate = 1.7%

Previous balance - payment = 5834.53 - 150 = 5680.53

Balance + interest = 5634.53(1 + 0.017) = 5781.17

New balance after transaction = 5781.17 + 325 = 6106.17

3.) Total payment = 15264

Number of payments = 72 monthly payments

Monthly payment = 15264 / 72 = 212

4.) Amount bollowed = 7400 at 7% APR

Amount plus interest = 7400(1 + 0.07) = 7918

Monthly payment = 7918 / 12 = 659.83

Answer:

Step-by-step explanation:

I took the quiz

The median of both cars is the same but the bandit has a lower mean because all four values of both cars are the same but the upper limit of the bandit is less. option 2 is correct.

The box plot represents the minimum value, first quartile, median, third quartile, and maximum value.

From the box plot of Roadsters, it notices that

lower limit = 2

Q1 = 3

median = 4

Q3 = 5

upper limit = 9

From the box plot of Bandits, it notices that

lower limit = 2

Q1 = 3

median = 4

Q3 = 5

upper limit = 6

From this information, we can say that the median of both cars is the same but the bandit has a lower mean because all four values of both cars are the same but the upper limit of the bandit is less.

Therefore option 2 is correct.

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Answer:

option 3. (4, -2)

Step-by-step explanation:

For a relation to be a function there should be exactly one output value for a given input.

In the given relation :-

4 has 2 outputs, -2 and 2, so if we remove the pair (4, -2) 4 will have only one output value ,i. e., 2. And hence the relation will be a function.

So the answer is option 3. (4, -2)