Explain:clarify:and give an example of what a prime number is

The total number of combinations is given as follows:

60.

The Fundamental Counting Theorem states that if there are m ways for one experiment and n ways for another experiment, then there are m x n ways in which the two experiments can happen simultaneously.

This can be extended to more than two trials, where the number of ways in which all the trials can happen simultaneously is the product of the number of outcomes of each individual experiment, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The parameters for this problem are given as follows:

\(n_1 = 6, n_2 = 10\)

Hence the total number of combinations is given as follows:

6 x 10 = 60.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/15878751

#SPJ1

The sum of the first n terms of sequence 85 +85(.9) +85(.9)² + ... would be 348.08.

Let's suppose its initial term is a , multiplication factor is  r and let it has total n terms,

then, its sum is given as:

\(S_n = \dfra\)\(\dfrac{a(r^n-1)}{r-1}\)

(sum till nth term)

Given geometric sequence;

85 +85(.9) +85(.9)² + ...

a = 85

r = 0.9

its sum is given as:

\(S_n = \dfra\)\(\dfrac{a(r^n-1)}{r-1}\)

\(S_n = \dfrac{85(0.9^5-1)}{0.9-1}\\\\S_n = \dfrac{85(0.5904-1)}{-0.1}\\\\\\S_n = \dfrac{85(-0.4095)}{-0.1}\\\\S_n = 348.08\)

Thus,

The sum of the first n terms of sequence 85 +85(.9) +85(.9)² + ... would be 348.08.

Learn more about geometric sequence here:

https://brainly.com/question/2735005

#SPJ1

\((\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{8}}} \implies \cfrac{ 3 }{ -3 } \implies - 1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{8}) \\\\\\ y-5=-x+8\implies {\Large \begin{array}{llll} y=-x+13 \end{array}}\)

Answer:

-2 is the slope

Step-by-step explanation:

Slope=Rise/Run=(y2-y1)/(x2-x1)=(5-9)/(2-1)=-4/2=-2, therefore the slope is -2

Answer:

-1/3

Step-by-step explanation:

Step 1: Set up the formula to find the slope given two points.

Step 2: Plug in the values.

Step 3: Simplify.

Therefore, the slope is -1/3.

Answer: 52.8

Step-by-step explanation: it’s on khan ,

Answer:

d 100

Step-by-step explanation:

Due to stress and trauma, Native Americans frequently have high rates of depression and anxiety.

Due to past trauma and stressors, Native Americans have a disproportionate amount of despair and anxiety. Numerous circumstances, including poverty, prejudice, and a lack of access to high-quality healthcare, may contribute to these mental health problems. Native Americans have a long history of suffering from injustice and oppression, which has had a serious effect on their mental health. While racism and discrimination can cause emotions of isolation and despair, poverty and limited access to services can foster a sense of powerlessness and hopelessness. Additionally, the frequency of substance misuse, domestic violence, and other socioeconomic problems can raise Native American people' risk of depression and anxiety. To help lower the prevalence of depression and anxiety among Native Americans and increase general wellness, it is crucial to offer culturally appropriate mental health care to this community.

Learn more about rate here

https://brainly.com/question/13481529

#SPJ4

There were approximately 6056 no votes.

Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.

Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.

The total number of votes is given as 9854, so we can set up the following equation:

\(5x + 8x = 9854\)

Combining like terms, we have:

\(13x = 9854\)

To solve for x, we divide both sides of the equation by 13:

\(x = \frac{9854 }{13}\)

\(x \approx 757.23\)

Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.

Now, we can find the number of no votes by multiplying x by the ratio of no votes:

No votes \(= 8x\)

\(= 8 \times 757\)

\(= 6056\)

Therefore, there were approximately 6056 no votes.

For such more questions on votes

https://brainly.com/question/32031211

#SPJ8

A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.

To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.

Let's calculate the sum of the digits in 1234:

1 + 2 + 3 + 4 = 10

The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.

To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.

The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.

1234 + 2 = 1236

we obtain the number 1236, which is divisible by 3.

For more such questions on divisible

https://brainly.com/question/29373718

#SPJ8

Answer:

i need more info? it doesnt seem to make sense with just that..

Step-by-step explanation:

Answer:

2nd one.

Step-by-step explanation:

Answer:

haha same

Step-by-step explanation:

i think the answer is B

Answer:

hmm not so difficult

Step-by-step explanation:

I think it's B

Answer:

3v2 + 9v = 3v(v + 3)

              - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond\)

        What is the complete factorization of 3v²+9v?

\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond\)

First we need to find the GCF of this polynomial; when we find it, we should factor it out, or divide all the terms by it.

Since the greatest common factor (GCF) of this polynomial is 3v, we divide both terms by 3v:-

3v(v+3)

                - - - - - - - - - - - - - - - - - - - -- - - - - - - - -

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

For more such questions on points, click on:

https://brainly.com/question/26865

#SPJ8

The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5

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

x(3x + 5)-5(2x - 1)

Open the brackets

So, we have

3x² + 5x - 10x + 5

Evaluate the like terms

So, we have

3x² - 5x + 5

Hence, the simplified expression is 3x² - 5x + 5

Read more about expression at

https://brainly.com/question/31819389

#SPJ1

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Answer:

Answer B is correct

Step-by-step explanation:

Hey there,

\(cos \; L \;\;= \frac{adjecent}{hypotenuse}\)

\(cos\; L = \frac{8}{10}\)

The answer is,

\(\frac{8}{10}\)

Hope this helps you.

Let me know if you have any other questions :-)

The number itself equals any integer raised to the power of one.

What is Exponent?

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.

What is integer?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold mathbb Z.

Any number that is multiplied by one has the same value as the original number, according to the exponent rule.

Take this as an example:

You can write x to the power of 1 as x and 100 to the power of 1 as 100.

Therefore, anything raised to the power of one equals that number.

Learn more about Exponent click here:

https://brainly.com/question/11975096

#SPJ4

The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.

Let's represent the unknown fraction as x. The ratio can be configured as follows:

x / (1/27) = (3/7) / (5/9)

To solve this proportion, we can cross-multiply:

(x * 5/9) = (3/7) * (1/27)

Simplifying the right side:

(x * 5/9) = 3/189

To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:

(x * 5/9) * (9/5) = (3/189) * (9/5)

Simplifying further:

x = 27/35

Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

for such more question on fraction

https://brainly.com/question/1622425

#SPJ8

Answer:20%

Step-by-step explanation

When you multiply 64x100, you'd get 6400. Then you divide that by 80, you get 80. And when you have 80/100, you have 20 left out of the 100. So it is 20%.

Answer:

The Yankees lost 20% of their games.

Step-by-step explanation:

We need to find the percentage of what games the Yankees lost.

=========================================

We need to figure out what percentage of 64 is part of 80 (the winning percentage) first.

We would have to divide 64 by 80 and the multiply the quotient by 100.

\(\frac{64}{80} = 0.8 * 100 = 80\%\)

The Yankees won 80% of the games.

=========================================

To find the losing percentage we have to subtract 80% from the 100% of the games.

100% - 80% = 20%

The Yankees lost 20% of the games.

=========================================

Hope this helps!

The most appropriate way to model 9485 with the base ten blocks is
9 - thousand, 4 - hundred, 8- ten, and 5 - once.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Base ten block implies the number of blocks according to the digit representation,
For the given question,
The number represents there are 9485 cubes, which can be represented as 9 - thousand, 4 - hundred, 8- ten, and 5 - once.

Thus, the most appropriate way to model 9485 with the base ten blocks is 9 - thousand, 4 - hundred, 8- ten, and 5 - once.

Learn more about arithmetic here:

https://brainly.com/question/11559160

#SPJ1

Answer:

804

Step-by-step explanation:

Just use a calculator.

Answer:

To convert from degree to radian we multiply the angle by

π/180

To convert from radian to degree we multiply the angle by

180/π

5π/6,

Multiply by

180/π

=

5π/6 × 180/π = 5 × 30 = 150 degrees.

⇒5π/6 radian =150 degree.

The equivalent measurement of the given angle in degrees is 150 and this can be determined by using the given data.

Given :

The measure of the angle is \(5\pi/6\).

The following steps can be used in order to determine the equivalent measurement of the given angle in degrees:

Step 1 - According to the given data, the measure of the angle is \(5\pi/6\).

Step 2 - Now, to convert the given angle from radian to degrees, multiply the given angle by \(180/\pi\).

Step 3 - Now, let the equivalent measurement of the given angle in degrees be 'x'. So, the value of 'x' can be calculated as:

\(x = \dfrac{5\pi}{6}\times \dfrac{180}{\pi}\)

Step 4 - Simplify the above expression.

\(x = 150^\circ\)

The equivalent measurement of the given angle in degrees is 150.

For more information, refer to the link given below:

https://brainly.com/question/7383164

Answer:

1800/60=30

Step-by-step explanation:

Answer:

the first answer is correct

Answer:

Step-by-step explanation:

The answer is, no!

Step-by-step explanation:

The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.

So, here is the given information on what we need to classify a shape as a parallelogram:-

1) Parallel Sides

2)Opposite Sides are equal.

3) Adjacent sides are not equal.

4) Opposite angles are equal.

5)Adjacent angles are not equal.

Based on this, we can classify a shape as a parallelogram.

Hope, this answer helps!