David went to get a haircut for $20. He wants to give his barber a 13% tip. How much will David pay for
his haircut?

Answer:

Step-by-step explanation:

81 is the anwer

Answer:

105

Step-by-step explanation:

2(6^2)+2*6-3

2*36+2*6-3

72+2*6-3

72+36-3

105

Answer:

r = 0 and r = -8

Step-by-step explanation:

|-4-r|=4

-4 = -4-r = 4

0 = - r = 8

0 = r = -8

When you have absolute value signs, to get rid of the absolute value signs and find the value of the term, you simply add another eqaul sign (=), and add a negative in front (- =). If it is already set to equal a negative, there isn't any solution.

|x| = 4

-4 = x = 4

So x would equal 4 and -4 for this example.

Another example:

|x|=-5

Because it's equal to a negative, the solution is automatically no solution.

The actual answer is r = 0 and r = -8

The statement that best describes the infοrmatiοn presented in the chart is: "The number οf hurricanes was increasing but has decreased in recent years."

Hurricanes, knοwn generically as trοpical cyclοnes, are lοw-pressure systems with οrganized thunderstοrm activity that fοrm οver trοpical οr subtrοpical waters. They gain their energy frοm warm οcean waters.

The chart shοws the number οf hurricanes οf categοry 1 οr higher that οccurred during specific series οf years, and it indicates that the number οf hurricanes increased frοm 13 in 1980-1989 tο 23 in 2000-2009, and then decreased tο 10 in 2010-2017.

Therefοre, the chart suggests that the number οf hurricanes was increasing, but it has decreased in recent years. The chart dοes nοt prοvide any infοrmatiοn abοut tοrnadοes in Finleyville οr the relatiοnship between the number οf hurricanes and temperature.

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The statement that best describes the information in the graph is: "The number of hurricanes has increased but decreased in recent years." The graph shows that the number of Category 1 or greater hurricanes increased from 1980 to 2009, but decreased from 2010 to 2017.

The best buy for granulated sugar is the 4lb option since it is lesser.

To find the best buy for the item , we calculate the cost per pound of the item :

4lb = $2.93

10lb = $8.45

Cost per lb for 4lb :

2.93/4 = $0.7325 per lb

Cost per lb for 10lb :

8.45/10 = $0.845 per lb

Since the cost per lb for 4lb granulated sugar is lesser, then it is the best buy.

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Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2

The item in the Colleen's house that is most likely to meet the definition of a fixture is a tile.

A fixture is an item in a house that is permanently attached to a house with the use of a glue, nails or bolt. It would not be easy to remove fixtures from a house. Examples of fixtures are tiles, doors and windows.

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To determine whether each of the given multiplication tables represents a group, we need to check if certain properties, known as group axioms, hold.

The group axioms are as follows:

Closure: For any two elements a and b in the group, the result of the operation (in this case, multiplication) is also in the group.

Associativity: The operation is associative, meaning that for any three elements a, b, and c in the group, (a * b) * c = a * (b * c).

Identity Element: There exists an identity element e in the group such that for any element a in the group, a * e = e * a = a.

Inverse Element: For every element a in the group, there exists an inverse element a^-1 such that a * a^-1 = a^-1 * a = e, where e is the identity element.

Now, let's analyze each of the given multiplication tables:

A)

* 9 b c

9 9 c b

b c 9 9

c b 9 9

This multiplication table does not represent a group because it violates the closure property.

For example, when multiplying b with c, the result is not present in the group (b * c = 9), indicating closure is not satisfied.

B)

* q b

q b q

b q b

This multiplication table does represent a group. It satisfies closure, associativity, identity element, and inverse element properties.

The identity element is q, and every element has an inverse: q * q = b * b = q, and q * b = b * q = q.

C)

* d 9 C

d 9 C d

9 C d 9

C d 9 C

This multiplication table does not represent a group because it violates the closure property.

For example, when multiplying d with C, the result is not present in the group (d * C = 9), indicating closure is not satisfied.

In summary, only the multiplication table B represents a group as it satisfies all the group axioms.

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The required solution for the given right angle triangle is given below.

Blank #1: We can use the Pythagorean theorem to find AB:

\(AB = \sqrt{AC^2 + CB^2} \\= \sqrt{12^2 + 9^2}\\ =15\)

Therefore, AB = 15.

Blank #2: We can use the inverse tangent function to find the angle A:

tan(A) = opposite / adjacent = CB / AC = 9 / 12

\(A = tan^{-1}(9/12) = 36.86^o\)

Therefore, angle A ≈ 36 degrees.

Blank #3: We can use the inverse cosine function to find the angle C:

cos(C) = adjacent / hypotenuse = CB / AB = 9 / 15

C = arccos(9/15) ≈ 53.14

Therefore, angle C ≈ 53.14 degrees.

Blank #4: We can use the fact that the sum of angles in a triangle is 180 degrees to find angle B:

B = 180 - A - C ≈

B= 90

Therefore, angle B ≈ 90

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Answer:

35 total students voted

Step-by-step explanation:

The  total number of students who voted is 35

What is percentage?

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"

we have,

Candidate A receives = 21 votes which is 60% of the vote

According to the question,

Based on the given conditions, formulate:: 21 ÷ 60%

Multiply both the numerator and denominator with the same integer: 210/6

Cross out the common factor: 35

hence, total number of students who voted is 35

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Answer:

38

Step-by-step explanation:

(4² - (4 - 2)²) × 3.14 = 37.68 ≈ 38

Step-by-step explanation:

x²= (5.3)²+(12.8)²

= 28.09 + 163.84

= 191.93

x =√191.93 = 13.85

Answer:

13.85

Step-by-step explanation:

√(12.8)²+(5.3)²

=13.85

Answer:

Part A)

In interval notation:

\((1, 5)\)

Or, as an inequality:

\(1<x<5\)

Part B)

\(x\approx 3.5\)

Part C)

V(x) is increasing for 1 < x < 3.5 and decreasing for 3.5 < x < 5.

Step-by-step explanation:

The building boxes have lengths represented by (x + 1), widths by (5 - x), and heights by (x - 1).

Part A)

Since they are side lengths, they must be positive. In other words:

\(\displaystyle x+1>0, 5-x>0\text{ and } x-1>0\)

Solving for each inequality yields:

\(x>-1, x<5,\text{ and } x>1\)

We can eliminate the first inequality. Thus, our compound inequality is:

\(1<x<5\)

So, the reasonable domain for V(x) will be all values greater than one and less than five.

In interval notation:

\((1, 5)\)

Or as an inequality:

\(1<x<5\)

Part B)

We only need to look at the part of the graph within our domain.

For 1 < x < 5, we can see that its maximum is 17.

This occurs around x = 3.5.

Part C)

Again, we only need to look at the part of the graph within our domain.

As we can see, starting from x = 1 to x = 3.5 (approximately), our function is increasing (i.e. sloping upwards).

From x = 3.5 (approximately) and ending at x = 5, our function is decreasing.

Therefore, V(x) is increasing for 1 < x < 3.5 and decreasing for 3.5 < x < 5.

Answer:

Part A)

In interval notation:

(1, 5)

Or, as an inequality:

1<x<5

Part B)

x ≈ 3.5

Part C)

V(x) is increasing for 1<x<3.5 and decreasing for 3.5<x<5

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Question

Which list of integers is in order from greatest to least?

a) -11, -18, -33, 9, 24

b) -33, 24, -18, -11, 9

c) 24, 9, -33, -24, -11

d) 24, 9, -11, -24, -33

Answer:

d) 24, 9, -11, -24, -33

Step-by-step explanation:

The question asked us which list of integers is in order from greatest to least. This means, we should arrange the integers in descending order from the highest to the least or lowest number.

24< 9< -11< -24 < -33

Hence, from the greatest to the least =

24, 9, -11, -24, -33

Option d), is correct.

Answer:

if f(x) = x^2 which equation represents function g?

Step-by-step explanation:

maby ( C) am not sure

The equation represents the function is g(x) = 3f(x).

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

We have,

Function, f(x) = x²

The function g(x) is compressed horizontally by a factor of 3, to get the function g(x)

g(x) = kf(x)

Where k = 3.

So, we have:

g(x) = 3f(x)

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Answer: 3x=13+14

3x=27

x=27/3

x=9

Step-by-step explanation: Maybe.

\(\int\limits^a_b {x} \, dx \left \{ {{y=2} \atop {x=2}} \right. \beta \alpha \pi \neq \\ x^{2} \sqrt{x} \sqrt[n]{x} \frac{x}{y} x_{123} \leq\)

The correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

The correct answer is:

B. The graph of h is the graph of g vertically shifted up 1 unit.

Explanation:

The original function g(x) = x² represents a basic quadratic function, which is a parabola that opens upward and has its vertex at the origin (0, 0).

When we consider the function h(x) = g(x) + 1, we are adding a constant value of 1 to the output (y) values of the function g(x). This results in a vertical shift of the graph of g(x) by 1 unit upward.

In other words, for every x-value, the corresponding y-value of the function h(x) will be 1 unit higher than the corresponding y-value of the function g(x).

Visually, this means that the graph of h(x) will be the same shape as the graph of g(x), but it will be shifted upward by 1 unit. The vertex of the parabola, which was originally at the origin, will now be at (0, 1).

The statement "The graph of h is the graph of g horizontally shifted left 1 unit" (Option A) is incorrect because there is no horizontal shift in this transformation.

The statement "The graph of h is the graph of g vertically shifted down 1 unit" (Option B) is incorrect because the transformation results in a vertical shift upward, not downward.

The statement "The graph of h is the graph of g horizontally shifted right 1 unit" (Option D) is incorrect because there is no horizontal shift in this transformation.

Therefore, the correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.

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Answer:

216 is your answer.

Answer:

V = 216in²

Step-by-step explanation:

Hello There!

The gift box is a rectangular prism and given its dimensions we need to find the volume.

The volume of a rectangular prism can easily be calculated by multiplying the length by the width by the height ( V = L * W * H )

using this formula *we plug in the values*

V = 9 * 12 * 2

9 * 12 = 108

108 * 2 = 216

V = 216 in²

So we can conclude that the volume of the gift box is 216in²

It would take about 10 seconds for the object to fall to the ground from the top of the tower

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

s(t) = 16t²

Also, from the question;

The height (h) of the tower is given as

h = 1503 feet

The object would hit the ground when the height of the tower equals the distance travelled

Mathematically, this can be represented as:

s(t) = h

So, we have

s(t) = 1503

Substitute s(t) = 1503 in s(t) = 16t²

16t² = 1503

Divide both sides by 16

This gives

t² = 93.9375

Take the square root of both sides and approximate

t = 10 seconds

Hence, the time taken is about 10 seconds

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A,C and D

Step-by-step explanation:

Option A,C and D are not polynomials.

Step-by-step explanation:

Polynomial functions are given by

             p(x) = a₀ + a₁x¹+ a₂x²+ ...........+aₙxⁿ

             Where a₀, a₁, a₂, ..., an are constant coefficients and n is non negative integer.

Option A

        Here one exponent of x is -2, so this is not a polynomial function.

Option B

        Here all the exponents are non negative integer, so this is a polynomial.

Option C

        Here one exponent of x is 0.5, so this is not a polynomial function.

Option D

      p(x)= x⁻²+x+1

        Here one exponent of x is -2, so this is not a polynomial function.

Option E

        Here all the exponents are non negative integer, so this is a polynomial.

Option A,C and D are not polynomials.

Answer:

A

D

Step-by-step explanation:

I believe those are correct however im not that good at this soooooo.

Good luck

Answer:

11

Step-by-step explanation:

those alternate angles are equal to each other

5x+4=59

5x=55

x=11

Answer:

(5x + 4) = 59

5x = 59 - 4

5x = 55

x = 55/5

x = 11

Answer: Option C.

Step-by-step explanation:

Ok, first, a linear function is something of the shape of:

y = a*x + b.

And the graph of those functions is a line, as the name implies, so we can discard that option.

So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.

Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.

Then the correct option is C, nonlinear, and a relationship.

Answer:

The answer is A. 1 - 15

Step-by-step explanation:

An expression is a mathematical phrase that contains terms and operations but no equal sign.

Therefore, the closest option to the probability that the person selected will be someone who responded "No," given that the person selected is age 55 or older, is (E) 0.818.

To find the probability that the person selected will be someone who responded "No," given that the person selected is age 55 or older, we need to calculate the conditional probability.

Let's denote the event of selecting someone who responded "No" as N and the event of selecting someone who is age 55 or older as O.

We are given the following information:

Number of people who responded "No" and are age 55 or older: 36

Total number of people who are age 55 or older: 44

The probability can be calculated as follows:

P(N | O) = P(N and O) / P(O)

P(N and O) represents the probability of selecting someone who responded "No" and is age 55 or older, which is 36.

P(O) represents the probability of selecting someone who is age 55 or older, which is 44.

P(N | O) = 36 / 44 ≈ 0.818

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Answer:

-0.8(x + 9)(x - 1)

Step-by-step explanation:

Note that 0.8 is a factor of the three coefficients -0.8, -6.4 and 7.2.  Thus,

-0.8x2 - 6.4x + 7.2  =  0.8(-1x^2 - 8x + 9), or, equivalently,

                               = -0.8(x^2 + 8x - 9), which factors further as follows:

                                = -0.8(x + 9)(x - 1)

The image of ΔHOP with coordinates H(2,1), O(-3,4), and P(5,7).

(a) after 90° clockwise rotation is H'(1,-2,),O'(4,3),P'(7,-5) ,

(b) after 90° counterclockwise rotation is H''(-1,2),O''(-4,-3),P''(-7,5) ,

(c) after 180° rotation is H'''(-2,-1),O'''(3,-4),P'''(-5,-7) .

When a point (x,y) is rotated 90° in clockwise about the origin then the image after rotation becomes (y,-x) .

When a point (x,y) is rotated 90° in counterclockwise about the origin then the image after rotation becomes (-y,x) .

When a point (x,y) is rotated 180° about the origin then the image after rotation becomes (-x,-y) .

Part(a)

The ΔHOP with coordinates H(2, 1), O(-3, 4), and P(5, 7) is rotated 90° in clockwise direction ,

we know the points (x,y) becomes (y,-x),

So the image of ΔHOP after rotation becomes H' , O' , P'   .

H(2, 1) → H'(1,-2)

O(-3, 4) → O'(4,3)

P(5,7) →  P'(7,-5)

Part(b)

The ΔHOP with coordinates H(2, 1), O(-3, 4), and P(5, 7) is rotated 90° in counterclockwise direction ,

we know the points (x,y) becomes (-y,x),

So the image of ΔHOP after rotation becomes H'' , O'' , P''   .

H(2, 1) → H''(-1,2)

O(-3, 4) → O''(-4,-3)

P(5,7) →  P''(-7,5)

Part(c)

The ΔHOP with coordinates H(2, 1), O(-3, 4), and P(5, 7) is rotated 180°,

we know the points (x,y) becomes (-x,-y),

So the image of ΔHOP after rotation becomes H''' , O''' , P'''   .

H(2, 1) → H'''(-2,-1)

O(-3, 4) → O'''(3,-4)

P(5,7) →  P'''(-5,-7)

Therefore , The image of ΔHOP

(a) after 90° clockwise rotation is H'(1,-2,),O'(4,3),P'(7,-5) ,

(b) after 90° counterclockwise rotation is H''(-1,2),O''(-4,-3),P''(-7,5) ,

(c) after 180° rotation is H'''(-2,-1),O'''(3,-4),P'''(-5,-7) .

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Answer:

D

Step-by-step explanation:

the picture

Given statement is True.

A system of equations can be represented in different forms, such as point form (showing the x and y values that make the equations true) or equation form (showing the equations in standard form, with variables on one side and constants on the other). A solve by substitution calculator can be used to find the solution to a system of two or three equations in both point form and equation form of the answer.

The process of solving a system of equations by substitution involves isolating a variable in one equation and then substituting it into the other equation(s) to find the values of the other variable(s). The calculator can display the solution in point form by showing the values of x and y (or x, y, and z for a system of three equations) that make the equations true. It can also display the solution in equation form by showing the equations with the variable(s) replaced by the values found in the solution.

In conclusion, solve by substitution calculator can find the solution to a system of two or three equations in both point form and equation form of the answer, it can be a helpful tool for solving systems of equations.

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Answer:

0.0421

Step-by-step explanation:

We solve using the z score formula

z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean = μ = 8.9 pounds

σ is the population standard deviation = σ = 1.1 pounds

For x < 7 pounds

z = 7 - 8.9/1.1

= -1.72727

Probability value from Z-Table:

P(x<7) = 0.042059

Therefore, the proportion of domestic house cats weigh less than 7 pounds is

0.042059

Approximately = 0.0421

The instantaneous rate of change at x=3 is the slope of the tangent line.

To answer this, you draw the tangent line and estimate the slope.  In the picture, I drew my best estimate of what the tangent line at x=3 looks like.  Based on that line, which has a slope of 1/2, I would stay the instantaneous rate of change is 1/2.

Without the formula, this is an estimate.