Which is the verbal expression for q ≠ 3 ??
A. a number other than 3
B. a number is the same as 3
C. a number is more than 3
D. a number is less than 3

The number of lights L that are on after t minutes of the stage shows is,

A. L = (1/2)t + 10.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, When the show starts, 10 lights are on which is a constant in out function.

Every 30 seconds or (1/2) a minute 1 more light comes on.

∴  The function best models the number of lights that are on after t minutes of the stage shows is,

L = (1/2)t + 10.

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Answer:

Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.

Step-by-step explanation:

To compare the measures of center, we can calculate the mean and median points earned by each team:

Panthers: Mean = 212/15 = 14.13 points, Median = 14 points

Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points

Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.

So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).

Answer:

x ≥ − 3

Step-by-step explanation:

Given:

In the given triangle 1 and 2,

The common vertex is K.

Except for this common vertex. there is no similar angle and side to the given triangles 1 and 2.

The only conclusion that can be made is,

The given triangles are not similar.

Answer: a)

The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

Given:

Radius (r) = 20 inches

Height (h) = 0.7 feet

First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:

Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches

Now, we can substitute the values into the volume formula:

Volume = π * (20 inches)^2 * 8.4 inches

Calculating the volume:

Volume = 3.14159 * (20 inches)^2 * 8.4 inches

≈ 3.14159 * 400 inches^2 * 8.4 inches

≈ 1005.3096 cubic inches

Rounding the volume to the nearest tenth:

Volume ≈ 1005.3 cubic inches

Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

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1. Variable: A symbol or letter that represents an unknown value or quantity in algebraic expressions and equations.

2. Equation: A mathematical statement that shows the equality between two expressions, typically represented by an equal sign (=).

3. Coefficient: The numerical factor that is multiplied by a variable in a term.

4. Expression: A mathematical phrase that may contain variables, constants, and operations, but does not have an equal sign.

5. Linear Equation: An equation in which the highest power of the variable is 1, written in the form ax + b = 0, where a and b are constants and x is the variable.

Variable: In algebra, a variable is a symbol (usually a letter) that represents an unknown value or quantity. It allows us to express mathematical relationships and solve equations.

Equation: An equation is a mathematical statement that shows the equality between two expressions.

It consists of an equal sign (=) and can include variables, constants, and operations.

Solving equations involves finding the values of the variables that make the equation true.

Coefficient: A coefficient is the numerical factor that is multiplied by a variable in a term.

It represents the scale or magnitude of the variable.

For example, in the term 3x, the coefficient is 3.

Expression:

An expression is a mathematical phrase that can contain variables, constants, and operations, but does not have an equal sign.

Expressions can be evaluated or simplified, but they cannot be solved since they lack the equality found in equations.

Linear Equation:

A linear equation is an equation where the highest power of the variable is 1.

It can be written in the form ax + b = 0,

where a and b are constants and x is the variable.

Solving linear equations involves finding the value(s) of x that satisfy the equation.

These are just a few key definitions that form the foundation of understanding introductory algebra.

Mastering these concepts will provide a solid basis for further exploration and learning in algebraic principles and problem-solving.

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Answer:

(108-27)/3 =27

Each bus has 27 students, because 108-27=81, 81/3=27

Step-by-step explanation:

Hope this helps! <3

Answer: R= 4

Step-by-step explanation:

FOR step by step explanation ask me by my mail , Thanks !

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

where the segment ??????!??!??!?

Step-by-step explanation:

give me the segment I may be able to answer

Answer:

red fish red fish red fish

Answer:

2

Step-by-step explanation:

1+1=2 how do u not know that?

Answer

here

A={a,b,c,d}

B={c,d,e,f}

C={x,y,z}

A-B={e,f}

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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The factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

To determine the factors of the polynomial x^3 - 12x^2 - 2x + 24 by grouping, we can follow these steps:

Step 1: Group the terms in pairs. In this case, we can pair the first two terms and the last two terms:

(x^3 - 12x^2) + (-2x + 24)

Step 2: Factor out the greatest common factor from each pair. From the first pair, we can factor out x^2, and from the second pair, we can factor out -2:

x^2(x - 12) - 2(x - 12)

Step 3: Notice that we now have a common binomial factor of (x - 12) in both terms. Factor out this common binomial factor:

(x - 12)(x^2 - 2)

Therefore, the factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

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Thus, the total surface area of the given right triangular prism is found as : 96 sq. in.

The bases of a prism, which can have up to n sides, are joined to one another by parallel lines that create planes. These bases plus planes would create right angles with one another in a right prism if they were perpendicular to one another.

surface area of right triangular prism S:

surface area of right triangular prism  = base area + 2*triangle area + 2* rectangle area

surface area of right triangular prism  = 4*8 + 2*(1/2*8*3) + 2*4*5

surface area of right triangular prism   = 32 + 24 + 40

surface area of right triangular prism  = 96

Thus, the total surface area of the given  right triangular prism is found as : 96 sq. in.

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The decimal representation of the given sequence is 4,063.21.

The given sequence can be interpreted as follows: "63 ones, 21 hundredths, 4 thousand." To convert this sequence into decimal form, we need to understand the place value of each digit.

Starting from the left, we have "63 ones." This means we have 63 units, which can be represented as 63.

Next, we have "21 hundredths." Since there are two digits after the decimal point, the number becomes 0.21.

Finally, we have "4 thousand." Considering the place value, 4 thousand would be written as 4,000.

Putting it all together, we have 63 + 0.21 + 4,000, which equals 4,063.21. Therefore, the decimal representation of the given sequence is 4,063.21.

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9514 1404 393

Explanation:

The problem statement tells you what to do.

  25^(n-1) +125 -6·5^n = 0 . . . . . subtract 6·5^n

  (5^2)^(n-1) -6·5^n +125 = 0 . . . . express 25 as a power of 5

  5^(2n-2) -6·5^n +125 = 0 . . . . . eliminate the double layer of exponent

  (5^-2)(5^n)^2 -6·5^n +125 = 0 . . . . . use 5^n where possible

  (1/25)y^2 -6y +125 = 0 . . . . . . . substitute y = 5^n

  y^2 -150n +3125 = 0 . . . . . . . . . multiply by 25

_____

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

The main limiting issue with the domain this function is potentially picking an x-value that makes that denominator equal 0, because dividing by 0 is bad.

So, the domain will be all real numbers, except for those that make g(x)=0.

g(-1) = 0, g(-2)=0, and g(2) = 0, so -1, -2, and 2 must be excluded from the domain.

Your answer is {x ∈ ℝ| x ≠ −1, −2, 2}.

Answer:

\(\textsf{Domain}: \quad \{ x \in \mathbb{R}\;|\;x \neq -1, -2, 2\}\)

Step-by-step explanation:

Given functions:

\(\begin{cases} f(x)=x^2+6x+5\\g(x)=x^3+x^2-4x-4\end{cases}\)

Factor function f(x):

\(\begin{aligned}\implies f(x)&= x^2+6x+5\\&=x^2+x+5x+5\\&=x(x+1)+5(x+1)\\&=(x+5)(x+1)\end{aligned}\)

Factor function g(x):

\(\begin{aligned}\implies g(x)&=x^3+x^2-4x-4\\&=(x+1)(x^2-4)\\&=(x+1)(x+2)(x-2)\end{aligned}\)

Therefore the composite function is:

\(\implies \dfrac{f(x)}{g(x)}=\dfrac{(x+5)(x+1)}{(x+1)(x+2)(x-2)}\)

A rational function is undefined when the denominator equals zero.

Therefore, the given composite function is undefined when (x+1)(x+2)(x-2)=0:

The domain of a function is the set of all possible input values (x-values).

Therefore, as the composite function is undefined when x = -1, x = -2 and x = 2, the domain is:

Answer:

dfgv nm./

Step-by-step explanation:

We can use the given recursive formula to find the value of each term in the sequence.

Starting with a1 = 10, we can use the recursive formula to find a2:

a2 = a1 + 4 = 10 + 4 = 14

Similarly, we can find a3, a4, and a5:

a3 = a2 + 4 = 14 + 4 = 18

a4 = a3 + 4 = 18 + 4 = 22

a5 = a4 + 4 = 22 + 4 = 26

Therefore, the value of a5 is 26.

A recursive formula is what?

A formula which explains how to move from one word in a sequence to the next is known as a recursive rule for a sequence. The variable is typically used to represent the term "number."

What does a1 in the formula represent?

The first term of the formula, a1, and the nth term of the series, an, are both expressions containing the first term (the term preceding it), an-1.

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Answer: daniel and sarah will deposit the same amount

Answer:

36? I believe im right

Step-by-step explanation:

Twice the difference of a number and four:  2(x - 4)

three times the sum of the number and 2:  3(x + 2)

2(x - 4) = 3(x + 2)

2x - 8 = 3x + 6

-14 = x

to confirm

2[(-14) -4] = 2(-18) =-36

3 [(-14) +2] = 3 (-12) = -36

Answer:

It says Zero placeholder

Step-by-step explanation:

I hope it works

P(more than 1 hour of TV | 6th period class) is  0.352.

Probability determines the odds that a random event would happen. The odds of the random event happening lie between 0 and 1.

P(more than 1 hour of TV | 6th period class) = number of 6th period class students who watch tv for more than an hour / total number of students surveyed

12 / (12 + 9 + 5 + 8)

12 / 34 = 0.352

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Answer:

6 hours

Step-by-step explanation:

To start this, you must use an equation that models the amount that Mathew and Melanie made based on time. The total amount of money earned by the two of them is 120, and they both work for 8 dollars and hour, and Mathew worked 3 more hours, our equation is 120 = 8x +8(x+3)

We must first solve for x

120 = 8x + 8x +24

-24                   -24

96 = 16x

x = 6

x is the amount of hours Melane worked.

Answer:

If they each earn $8 per hour that means Melanie needed to work 15 hours to get $120.

Step-by-step explanation:

I divided 120 by 8

Answer:

90

Step-by-step explanation:

90.05

2 . Check the number to the right of it:

90.05

If the number is greater than or equal to 5, we round up. If it's less than or equal to four, we round down.

Zero is less than four. This means we round down.

90.05 ≈ 90

Hope this helps.

Answer:

  e. f(x) --> -∞ as x --> -3^+ and as x --> -3^-

Step-by-step explanation:

You want to know the behavior of f(x)= (x^2 + x - 12)/(x^2 + 6x + 9) near any excluded x-values.

The function can be factored as ...

  \(f(x)=\dfrac{x^2+x-12}{x^2+6x+9}=\dfrac{(x+4)(x-3)}{(x+3)^2}\)

The excluded values are values of x where the denominator is zero. The only excluded value is x = -3. (eliminates all answer choices except E)

At either side of x = -3, the sign of the numerator is negative and the sign of the denominator is positive. That makes f(3-) < 0 and f(3+) < 0.

f(x) will never approach +∞, but f(x) approaches -∞ as x nears -3 from either direction.

Answer:

\(\textsf{e)} \quad f(x) \rightarrow -\infty\;\;\textsf{as}\;\; x \rightarrow -3^+ \;\;\textsf{and as}\;\;x \rightarrow -3^-\)

Step-by-step explanation:

Given function:

\(f(x)=\dfrac{x^2+x-12}{x^2+6x+9}\)

Factor the numerator:

\(\implies x^2+x-12\)

\(\implies x^2+4x-3x-12\)

\(\implies x(x+4)-3(x+4)\)

\(\implies (x-3)(x+4)\)

Factor the denominator:

\(\implies x^2+6x+9\)

\(\implies x^2+3x+3x+9\)

\(\implies x(x+3)+3(x+3)\)

\(\implies (x+3)(x+3)\)

\(\implies (x+3)^2\)

Therefore, the rational function is:

\(f(x)=\dfrac{(x-3)(x+4)}{(x+3)^2}\)

As the degree of the numerator is equal to the degree of the denominator, there is a horizontal asymptote at y = 1.

A vertical asymptote occurs at the x-value(s) that make the denominator of a rational function zero.

\(\implies (x+3)^2=0\)

\(\implies x+3=0\)

\(\implies x=-3\)

Therefore, there is a vertical asymptote at x = -3.

As there is a vertical asymptote at x = -3, the excluded x-value is x = -3.

As x approaches x = -3 from both sides, the numerator of the rational function approaches -6 and the denominator approaches a very small positive number.  Therefore, the function approaches a very large negative number.

Therefore, the end behaviour of the function as it approaches the excluded value is: