Write the prime factorization of 9. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).

Answer:

There are 4 terms

Step-by-step explanation:

“Terms are single numbers, variables, or the product of a number and variables. Examples of terms: 9 a 9a 9a. y y y.”

There are 12 different positive two digit integers can be formed using these digits if a digit can be repeated in an integer.

Integer:

An integer is zero (0), a positive integer (1, 2, 3, etc.), or a negative integer with a minus sign (-1, -2, -3, etc.). A negative number is the additive reciprocal of the corresponding positive number. In mathematics languages, sets of integers are often denoted by a bold Z or a bold {Z}.

Given the question :

The number of different positive two integer number can be obtained by:

P(4, 2) = 4P2

We know that:

\(^nP_r\) = n! / (n - r)!

⁴P₂ = 4! / (4 - 2)!

⁴P₂ = 4! / 2!

⁴P₂ = (4 * 3 * 2 * 1) / ( 2 * 1)

⁴P₂ = 24 / 2

⁴P₂ = 12

Hence, 12 different positive two-digit integers can be formed using these digits if a digit may not be repeated in an integer.

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The mean of a discrete random variable generalizes the concept of an average value or expected value of the outcomes of a random experiment where the possible outcomes are discrete and random. A discrete random variable is a variable that can only take on specific, isolated values, and the mean of this variable represents the weighted average of all possible values, with each value being weighted by its probability of occurrence. Therefore, the mean of a discrete random variable provides a measure of central tendency that summarizes the distribution of the variable.
Hi! The mean of a discrete random variable generalizes the concept of an "expected value." In this context, "discrete" refers to a finite or countable number of distinct values, "random" indicates the variable's outcomes depend on chance, and "variable" represents a quantity that can vary.

The expected value is a weighted average of all possible values that a discrete random variable can take on, with each value being multiplied by its respective probability. It provides a measure of the "central tendency" or the long-term average outcome of the random variable.

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Step-by-step explanation:

linear

8+2x=18

2x=10

x=5

Answer:

first option

Step-by-step explanation:

the graph has a point of (8,2)

so see which option proves this point

2=0.25(8)

2=2

so first option is correct

To find the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x, we need to substitute the given values of the variables into the expression and then simplify.

Here is the step-by-step explanation:

1. Substitute the given values of the variables into the expression:
(2)²(3+4)-(1)²(1/2+2/3)+2(0)

2. Simplify the expression by following the order of operations:
(4)(7)-(1)(7/6)+0

3. Simplify further:
28-7/6

4. Find a common denominator and combine the terms:
168/6-7/6

5. Simplify the expression to get the final numerical value:
161/6

Therefore, the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

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The numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

To find the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x, we need to substitute the given values of the variables into the expression and then simplify.

Here are the steps to do this:

1. Substitute the given values of the variables into the expression:
(2)²(3+4)-(1)²(1/2+2/3)+2(0)

2. Simplify the expression inside the parentheses:
(2)²(7)-(1)²(7/6)+0

3. Simplify the exponents:
4(7)-1(7/6)+0

4. Multiply the numbers:
28-7/6+0

5. Simplify the expression by finding a common denominator and combining the terms:
28-7/6 = 168/6-7/6 = 161/6

So the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.

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Answer:

Chicken Tacos

Step-by-step explanation:

10 for 8.49= 8.49÷10=0.849

6 for 5.40=5.40÷ 6=0.900

10×.900=$9

Answer:

csc θ * sin θ

Simplified using trig identities:  

csc (x) = 1/sin(x)  

so, csc (0) = 1/sin(0)  

1/sin(0) * sin (0), the result will be sin(0) / sin (0) which is equal to 1.  

Therefore, the answer is 1.

Step-by-step explanation:

Expression in sin θ and cos θ below

4cos ec^2  2θ as 2 /    2 (4 sin θ cos θ )^2

or

cos ec^2 θ as 1 / sin ^2  θ

. Accept terms like

cos ec^2 θ = 1  +cot^2 θ =1 +  cot^2 θ /sin^2 θ

Answer:

Step-by-step explanation:

The salt will acquire octahedral hole. Thus option B is correct .

Given,

\(r^{+} = 165\\ r^{-} = 297\)

Now,

Find the coordination number ,

Radius ratio = \(r^{+} / r^{-}\)

Substitute the values of radius of salt to get the coordination number .

Radius ratio = 165/297

Radius ratio = 0.556 .

If the radius ratio is between 0.414 and 0.732

Range of radius ratio : 0.414 < r < 0.732

Then coordination number is 6 . If the coordination number is 6 then it will acquire octahedral void .

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Therefore ,there are 158,184,000 ways to create a license plate in this system.

A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.

According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.

The first number (the digits 1 through 9) can be obtained in nine different ways.

There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).

There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.

How many ways are there to get the next number? 10 ways\s.

Thus ,total options for obtaining a license plate:

9 x 26 x 26 x 26 x 10 x 10=158184000

Therefore ,there are 158,184,000 ways to create a license plate in this system.

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1) An equation that gives the total cost in dollars, d, of attending the event if you order z ounces of fro-yo is d = $5 + $0.40z

2) 2. If your cup weighs 14 ounces, you would pay $10.6 in total for the evening.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts.

Given,

The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes you can fill your cup with yogurt and toppings for $0.40 per ounce.

1) Total cost = d

Total ounces = z

Equation

d = $5 + $0.40z

2) If cup weighs 14 ounces

d = $5 + 0.40(14)

d = $5 + $5.6

Total cost:

d = $10.6

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Answer:

  10 < n -20

Step-by-step explanation:

For some number n, 20 less than the number is (n-20). We are told that 10 is less than that:

  10 < n -20

Answer:

10 < n - 20

Step-by-step explanation: I HOPE THIS HELPS PLEASE

Answer:

1

Step-by-step explanation:

Divide 12 in to 12 separate groups and you get 1 group of 12.

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

a^2+ab+a

a(a+b+1)

Answer:

a(a+b+1). was this helpful

Answer:

Step-by-step explanation:

(a+2,b)=(4,5)

Since the points are equal we can equate them to find a

Comparing a + 2 to 4

We have

a + 2 = 4

Send 2 to the right side of the equation

a = 4 - 2

We have the final answer as

Hope this helps you

Step-by-step explanation:

Here,

according to the question,

(a+2, b)=(4,5)

since, they are equal, equating with their corresponding elements we get,

(a+2)=4

or, a= 4-2

Therefore, the value of a is 2.

Also you can find value of b in same way,

b=5.

Therefore, the value of a abd b are 2 and 5 respectively.

Hope it helps...

Answer:

113 kilograms

Step-by-step explanation:

Answer:

h = 6

Step-by-step explanation:

Substitute the given to its corresponding places.

30 = \(\frac{1(10)h}{2}\)

30 = 10h/2

Multiply both sides by two to remove the denominator.

2 [30 = 10h/2] 2

60 = 10h

Divide both sides by 10 to isolate h.

h = 6

To check, substitute everything to the original equation:

A = \(\frac{1(10)(6)}{2}\)

A = 30 !

The sum of eigenvalues of a matrix A is equal to the trace of matrix A. Here, the trace is 5, so the sum of eigenvalues is 5.

Trace of a square matrix is the sum of its diagonal entries. Eigenvalues of a square matrix are the values which satisfy the equation det(A- λI) = 0, where I is the identity matrix of the same size as A. Here, the given matrix A is a 3x3 matrix with its diagonal entries as 1, 1, and 3.

Therefore, trace(A) = 1+1+3 = 5.

Also, det(A- λI)

= (1- λ) [ (1- λ)(3- λ) - 0] - (1) [ (2)(3- λ) - 0] + (1) [ (2)(0) - (1)(1- λ)]  

= λ3 - 5λ2 + 6λ - 2

= (λ - 2)(λ - 1)(λ - 1).

Now, the eigenvalues are 2, 1 and 1. The sum of these eigenvalues is 2+1+1 = 4.

Therefore, option (b) 4 is incorrect. The correct answer is option (a) 7 as the sum of the eigenvalues of matrix A is equal to the trace of matrix A which is 5.

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The probability that the bolt will be inserted in 19 minutes or less is 0.8413.

It should be noted that the probability will be illustrated as:

P(X < x) = P[z < (x - u/sd)]

where

x = number

u = mean

SD = standard deviation

Therefore given the numbers, this will be:

P(x < 19) = P(z < (19 - 15)/4)

= P(z < 4/4) = P(z < 1)

= 0.8413

Therefore, the probability that the bolt will be inserted in 19 minutes or less is 0.8413.

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The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. The standard deviation of time to insert the bolt is 4.0 minutes and the distribution of time is approximately Normally distributed. For a randomly selected worker, what is the approximate probability the bolt will be inserted in 19 minutes or less?

Answer: How many pets does Alisha have at home?

Step-by-step explanation:

        A statistical question, put simply, is something based on facts and numbers. The only option here that is not an opinion is the first option, "How many pets does Alisha have at home?"

        Two of the other options have something to do with a bias or an opinion. This is stuff such as "your favorite" or "do you like." The last one has to do with a name, not a number.

Answer:

How many pets does Alisha have at home?

Step-by-step explanation:

question 1

Answer:

The answer is 875.

Step-by-step explanation:

Based on the given conditions, formulate: 2500x(1-15%-50%)

Calculate the sum or difference: 2500x(0.85-0.5)

Calculate the sum or difference: 2500xx0.35

Calculate the product or quotient: 875

get the result: 875

Answer: 875

The solution for x is 1.67.

An equation is a mathematical statement that asserts the equality of two expressions. It typically contains an equal sign (=) and expressions connected by addition, subtraction, multiplication, and division. Equations are used to describe relationships between variables or constants, and can be used to solve for a desired value.

To solve the equation 2 = 3x/5 + 1, we need to use algebraic manipulation to isolate the x variable. First, subtract 1 from both sides of the equation:
2 - 1 = 3x/5
1 = 3x/5

Next, we need to multiply both sides by 5 in order to isolate the x variable:
5(1) = 5(3x/5)
5 = 3x

Finally, divide both sides by 3 in order to solve for x:
5/3 = 3x/3
1.67 = x

Therefore, the solution for x is 1.67.

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The correct point-slope equation for the line that passes through the point (-4,-2) and is parallel to the line given by y = 5x + 44 is: A. y + 2 = 5(x + 4)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

Since the line is parallel to y = 5x + 44, the slope is equal to 5.

At data point (-4, -2) and a slope of 5, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-2) = 5(x - (-4))  

y + 2 = 5(x + 4)

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The slope is -3 and the y-intercept is -7. The equation would be y = -3x – 7

The distance between any two raisins will not change when the bread doubles its size.

This is because the proportion of the raisins to the size of the dough remains constant. Mathematically, this can be expressed as:

Let d = the original distance between any two raisins

Let n = the new (doubled) size of the bread

d/n = constant

This means that when the size of the bread (n) doubles, the distance between the two raisins (d) remains unchanged. For example, if the original size of the bread was 10cm, and the distance between two raisins was 2cm, then when the bread is doubled to 20cm, the distance between the two raisins will still be 2cm.

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The angle between vectors a and b is approximately 12.63 degrees.

To find the angle between two vectors, we can use the definition of the dot product:

a · b = |a| |b| cosθ,

where a · b is the dot product of vectors a and b, |a| and |b| are the magnitudes of vectors a and b, and θ is the angle between them.

Let's calculate the dot product of vectors a and b:

a · b = (2.0)(6.0) + (2.0)(4.0) + (2.0)(7.0)

a · b = 12.0 + 8.0 + 14.0

a · b = 34.0

Next, let's calculate the magnitudes of vectors a and b:

|a| = √((2.0)² + (2.0)² + (2.0)²)

|a| = √(4 + 4 + 4)

|a| = √(12)

|a| = 3.464

|b| = √((6.0)² + (4.0)² + (7.0)²)

|b| = √(36 + 16 + 49)

|b| = √(101)

|b| = 10.05

Now, we can find the angle between the vectors using the dot product formula:

a · b = |a| |b| cosθ

34.0 = (3.464)(10.05) cosθ

cosθ = 34.0 / (3.464)(10.05)

cosθ = 0.978

To find the angle θ, we take the inverse cosine (arccos) of the result:

θ = arccos(0.978)

θ ≈ 12.63 degrees

Therefore, the angle between vectors a and b is approximately 12.63 degrees.

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The statement "The two-second rule is the accepted method of computing the following distance" is true.

The two-second rule is a widely recognized guideline used to determine a safe distance to maintain between vehicles while driving. It suggests that drivers should keep a time gap of at least two seconds between their vehicle and the vehicle in front of them.

The two-second rule is based on the principle that it takes about two seconds for a driver to perceive a hazard, react to it, and begin to apply the brakes. By maintaining this time gap, drivers allow themselves enough space to react to sudden changes in the traffic situation or unexpected maneuvers by the vehicle ahead.

Thus, the given statement is true.

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