John bought 2 CDs that were the same price.Including sales tax,he paid a total of $33.60.Each CD has a tax of $1.30.What was the price of each CD before tax?
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Related Questions
You want to survey people about their favorite types of art. Which is the better place to get a random sample?
A) outside an art museum
B) in the modern art section of an art museum
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Answer:
B) in the modern art section of an art museum
Step-by-step explanation:
Hope it helps! =D
Given f(x) = x² - 5x - 6 and g(x) =
x² - 6x, what are the domain restrictions
for (-)(x)?
A) x # +6
B) x = 0
C) x = 0,6
D) x = -2,6
Answers
The domain restrictions for (f/g)(x) are (c) x = 0, 6
How to determine the domain restrictions for (f/g)(x)?From the question, we have the following parameters that can be used in our computation:
f(x) = x² - 5x - 6
g(x) = x² - 6x
The composite function (f/g)(x) is calculated as
(f/g)(x) = f(x)/g(x)
substitute the known values in the above equation, so, we have the following representation
(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)
For the domain restriction, we have
x² - 6x = 0
When solved, we have
x = 6 or x = 0
Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6
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Question
Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions
for (f/g)(x)?
A) x = +6
B) x = 0
C) x = 0,6
D) x = -2,6
What is the area of a square that has a perimeter of thirty two centimetres?
Answers
Answer:
Step-by-step explanation:
I got you
So,
The perimeter of a square is the sum of the lengths of all its sides, and since a square has all sides equal, we can find the length of one side by dividing the perimeter by 4:
32 cm ÷ 4 = 8 cm
Therefore, each side of the square measures 8 centimeters. To find the area of the square, we can use the formula:
Area = side length x side length
So, the area of the square is:
Area = 8 cm x 8 cm = 64 square centimeters
Therefore, the area of the square with a perimeter of 32 centimeters is 64 square centimeters.
For f(x)=3x2 – x+5, 2f(–3) – f(4)=
Answers
Answer:
Step-by-step explanation
f(–3) =3×2-(-3)+5
3×2+3+5
=14
f(4)=3x2 – (4)+5
3×2-4+5
=7
2f(–3) – f(4)=
2(14) – f(7)=
28-7
=21
To solve the equation 30 + 9x = - 0.5|x - 1| - 2 Draymond let f(x) = - 30 + 9x and g(x) = - 0.5|x - 1| - 2 Then, he graphed y = f(x) and y = g(x) as shown
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The solution of a graph is the point where the lines of the graph meet
The solution of the equations is (3-,3)
How to determine the solutionTo determine the solution, we simply mark the point of intersection of the graphs of functions f(x) and g(x)
From the graph, we have the point of intersection to be
(x,y) = (3-,3)
Hence, the solution of the equations is (3-,3)
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Which inequality is represented by the graph?
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The inequality on the graph is the third option:
(2/5)*x - 3/2 ≥ y
Which inequality is represented by the graph?Let's analyse the graph if the inequality.
We can see that there is a solid linear equation with a positive slope, and the shaded area is below that line, then the inequality is of the form:
y ≤ linear equation.
We know that the symbol "≤" must be used because of the solid line.
We also can see that when x = 0, y takes a velue between -1 and -2.
With that in mind the correct option is the third one:
(4/5)*x - 2y ≥ 3
Isolating y we get:
(4/5)*x - 3 ≥ 2y
(2/5)*x - 3/2 ≥ y
Changing the order:
y ≤ (2/5)*x - 3/2
That is the graphed inequality.
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1) Rewrite the expression as the difference of two squares.
(X+y)(x-y)-6x+9
A) (x + 3)2 + y2
B) (x + 3)2 - y2
c)(x – 3)2 + y2
D) (x – 3)2 - y2
Answers
Answer:
c
Step-by-step explanation:
Is the answer
How is the least common multiple of the two expressions found?
Answers
The LCM of 6v⁵w⁷y and 20v⁸w² = 60v⁸w⁷y
Explanation:The given expressions are:
6v⁵w⁷y and 20v⁸w²
The Least Common Multiple is calculated below
Therefore, the LCM = (2v⁵w²) x (3w⁵y) x (10v³)
The LCM = 60v⁸w⁷y
The LCM of 6v⁵w⁷y and 20v⁸w² = 60v⁸w⁷y
If v = 2i- ¡ and w = xi + 31, find all numbers * for which Iv + w= 5.
Answers
Answe
Step-by-step explanation:
answer is 9
The pyramid and prism above have the same triangular base and height. The volume of the pyramid is 18 cubic inches. What is the volume of the prism?
A. 36 cubic inches
B. 72 cubic inches
C. 6 cubic inches
D. 54 cubic inches
Answers
Since the volume of the pyramid is 18 cubic inches, then the volume of the prism is 3 times that amount which is 54 cubic inches 2.
Therefore, the answer is D. 54 cubic inches.
PLEASE SOMEONE ANSWER A REAL ANSWER WILL GIVE BRAINLIST
Answers
Answer:
a I think please be right
Need help with my geometry homework grade due to
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The surface area of the base ball to the nearest whole number is 26 in²
What is surface area of a sphere?A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.
The area occupied by a three-dimensional object by its outer surface is called the surface area.
The surface area of a sphere is expressed as;
SA = 4πr²
where r is the radius and it's calculated as;
C = 2πr
9 = 2πr
r = 4.5/π =
SA = 4 π × (4.5/π)²
SA = 81/π
SA = 26 in²( nearest whole number)
Therefore the surface area of the sphere is 26 in²
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Sketch, on a single diagram showing values of x from-180° to +180°, the graphs of
y = tan x and y = 4 cos x.
The equation
tan x = 4 cos x
has two roots in the interval-180° ≤x≤ 180°. These are denoted by a and ß, where a
Show a and ß on your sketch, and express ß in terms of a.
Show that the equation tan x = 4 cos x may be written as
Hence find the value of ß-a, correct to the nearest degree.
4 sin’x+ sinx−4=0,
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The equation tan x = 4 cos x may be written as the nearest degree 4sinx^2 + sinx -4 = 0
What is Quadratic equation ?
Quadratic equation can be defined as the equation which is in the form of ax^2+bx+c = 0 .
Given ,
values of x from-180° to +180°, the graphs of
y = tan x and y = 4 cos x.
from this we get ,
y = tanx
y = 4cosx
tanx = 4cosx
cos^2 x = sinx
The equation
tan x = 4 cos x
has two roots in the interval -180° ≤x≤ 180°
And the given equation ,
4sinx^2 + sinx -4 = 0
Hence, The equation tanx = 4cosx .
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A hot air balloon is at an altitude of 113.2 meters. The balloon's altitude decreases by 10.8 meters every minute. Which equation can you use to find the number of minutes m until the balloon is 70 meters?
Answers
Answer: 113.2 - 10.8x=70
Step-by-step explanation:
Consider the right triangle below:
The length of the missing leg, AC= meters
Round your answer to the nearest tenth.
Note: Figure not drawn to scale and all the measurements are in meters.
What is the perimeter of triangle ABC
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length of AC = 3.3 meters
perimeter is 14.3 meters
Step by step
We can solve the missing leg length by using Pythagorean theorem a^2 + b^2 = c^2
We know a = 5 and c = 6, find b
5^2 + b*2 = 6^2
25 + b^2 = 36
Subtract 25 from both sides to isolate b
25 - 25 + b^2 = 36 - 25
b^2 = 11
Take square root of both sides to solve
b = 3.31662479
Round to nearest tenth
b = 3.3 meters
Now to find perimeter which is the sum of all sides
5 + 6 + 3.3 = 14.3 meters
The guidelines for a wheelchair ramp suggest that the ratio of the rise to the run be no greater than 1 : 12
A. Which wheelchair ramps follow the guidelines
A. A ramp with a length of 30 feet and a height of 3 feet
B. A ramp with a length of 20 meters and a height of 0.5 meters
C. A ramp with a length of 384 inches and a height of 32 inches
D. A ramp with a length of 1 feet and a height of 12 feet
B. A wheelchair ramp provides access to a building with a front door that is 2.5 feet above the sidewalk. Which best describes the possible length(s) for the ramp that will follow the guidelines.
Let x represent the length (in feet) of the ramp
A. X < 30
B. X > 30
C. X ≥ 30
D. X ≤ 30
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Answer:
Q1. Answer: According to the guidelines, the ratio of the rise (height) to the run (length) of a wheelchair ramp should be no greater than 1:12.
Option A: A ramp with a length of 30 feet and a height of 3 feet. The ratio of the rise to the run is 3/30 = 1/10, which is less than 1:12, so this ramp follows the guidelines.
Option B: A ramp with a length of 20 meters and a height of 0.5 meters. The ratio of the rise to the run is 0.5/20 = 1/40, which is less than 1:12, so this ramp follows the guidelines.
Option C: A ramp with a length of 384 inches and a height of 32 inches. The ratio of the rise to the run is 32/384 = 8/96 = 2/24, which is less than 1:12, so this ramp follows the guidelines.
Option D: A ramp with a length of 1 feet and a height of 12 feet. The ratio of the rise to the run is 12/1 = 12, which is not less than 1:12, so this ramp does not follow the guidelines.
Therefore, the ramps that follow the guidelines are options A, B, and C.
Q2. Answer: The guidelines for a wheelchair ramp suggest that the ratio of the rise (height) to the run (length) of the ramp should be no greater than 1:12. In this case, the rise is 2.5 feet and the run is the length of the ramp (x feet). The ratio of the rise to the run is 2.5/x.
To follow the guidelines, the ratio of the rise to the run should be no greater than 1:12, or 1/12. Therefore, the length of the ramp (x) should be greater than or equal to 2.5/1/12 = 30 feet.
Therefore, the correct answer is C: X ≥ 30.
Step-by-step explanation:
Your friend claims that because you can find the distance from a point to a line, you should be able to find the distance between any two lines. Is your friend correct? Explain your reasoning.
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. A hula hoop measures 14 inches from the center to the outside. What is the distance around the hula hoop?
Answers
Answer:
28\(\pi\) in or 87.96 inches with 2DP
Step-by-step explanation:
Notice the arc length S can be find with the equation \(S= \theta r\)
\(S= 14 (2\pi ) =28\pi\)
So the distance is 28\(\pi\) (in inches)
Notice 28\(\pi\) ≈ 87.96
Suppose two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origin and then
translated 40 units down. Which of these would be a measure of one of the resulting angles? Select all that apply
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Answer:
120 and 40
Step-by-step explanation:
Given
\(\angle 1 = 160\)
\(\angle 2 = 80\)
Rotation = 180 degrees
Translation = 40 units down
Required
A measure of the resulting angles
180 degrees rotation
Rotation only affects the positioning of angles and does not change the measure of the angles.
So, the measure of both angles remain unchanged.
40 units down translation
This will reduce the measure of both angles by 40 degrees.
So:
\(\angle 1 = 160 - 40 = 120\)
\(\angle 2 = 80 - 40 = 40\)
The 13-year $1,000 par bonds of Vail Inc. pay 13 percent interest. The market's required yield to maturity on a comparable-risk bond is 14 percent. The current market price for the bond is $870.
a. Determine the yield to maturity.
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The current market price for the bond is $870 the yield to maturity is 14.13%
How is yield to maturity calculated?The approximate yield to maturity of this bond is 11.25%, which is above the annual coupon rate of 10% by 1.25%. You can then use this value as the rate (r) in the following formula: C = future cash flows/coupon payments. r = discount rate (the yield to maturity)
knowing that:
Face value (par value) of the bond (F) = $1,000Annual coupon rate (C) = 13% of the face value = 0.13 * $1,000 = $130Years to maturity (n) = 13 yearsCurrent market price of the bond (P) = $870the formula is:
\(P = (C / (1 + r))^1 + (C / (1 + r))^2 + ... + (C + F) / (1 + r)^n\)
Putting the values:
\($870 = (130 / (1 + r))^1 + (130 / (1 + r))^2 + ... + (130 + 1,000) / (1 + r)^13\)
Using the math we find that the percentage is approximately 14.13%;
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Select the correct answer.
Which expression is equivalent to the given expression?
6ab / (a^0b^2)^4
A. 6a / b^5
B. 6a / b^7
C. 6 / a^3b^7
D. 6 / a^3b^5
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What is the meaning of "there exists x ∈ S ∖ m. Then m ⊊ m ∪ {x} ∈ X; a contradiction"?
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The statement "there exists x ∈ S ∖ m" means that there exists an element x that belongs to the set S but does not belong to the set m. In other words, x is an element that is present in S but is not present in m.
The phrase "m ⊊ m ∪ {x} ∈ X" states that the set m is a proper subset of the set m ∪ {x}, and this union belongs to the set X. This implies that the set m ∪ {x} contains all the elements of m along with the additional element x.
The phrase "a contradiction" indicates that the statement or assumption being made leads to a logical inconsistency or contradiction. In this context, the contradiction arises from the fact that the assumption that x is not in m contradicts the statement that m ∪ {x} is a proper superset of m.
Overall, the given statement implies that the existence of an element x in S, which is not in m, leads to a contradiction when considering the relationship between m and m ∪ {x}.
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3 sisters age combined are 57. Jenny is 6 years
older then Lynn. Kim is 5 less then twice the age of
Lynn age. What are each sisters ages
Answers
Answer: Jenny = 6 | Kim = 7 | (Unknown Sister because no name) = 44
Step-by-step explanation:
Jenny = 6 years (that we already know)
6 x 2 = 12 - 5 = 7 years for Kim
7 + 6 = 13
To find the unknown age of the last sister, we will subtract 57 - 13 = 44
So the last sister is 44.
(I am very sorry if this is wrong, I am only in Middle School).
i need help on finding the average rate of change
Answers
Step-by-step explanation:
Ok. First, you need to choose two points on the line. Lucky for you, they give you some. Just choose any two, it doesn't really matter. Next, organize the values. This is how I like to do mine: (shown in in attached image)
With this, you'll get an X1, Y1, X2, and Y2 (self-explanatory, look at the numbers on the little table. You'll need to put these in the formula
(Y2-Y1)
-----------
(X2-X1)
this will give you a value with Y being divided (or over) X. Depending on what your teacher wants, divide Y by X and put that in for your answer. Most of the time, you can get away with just putting that little fraction in for your answer.
TROUBLESHOOTING:
a good way to check to make sure you didn't mess up the positive or negative value is to look at the line that those points make. Does it go from the bottom up as you go from left to right? If so, you got a positive value, so your fraction WONT have a negative in front of it. Vice versa for negatives. Does it go down from left to right? Yeah? then you have a negative. In this one, your value should be a positive. Don't slip up on that!! It's common mistake, and an easy one to make .But it's easy to fix!!
-4 (2x + 13) + 3x = 80
How do you solve this out and get the answer
Answers
Answer:
-132/5
Step-by-step explanation:
-4(2x+13) + 3x = 80
-8x - 52 + 3x = 80
-5x = 80+52
5x = -132
x = -132/5
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When 2(3/5x+2 3/4y- 1/4x -1 1/2y+3) is
is simplified, what is the resulting expression?
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Answer: 2(7x/20 + 5y/4 + 3)
A can of soda is placed inside a cooler. As the soda cools, its temperature T(x) in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler.
T(x)=-5+27e^-0.03x
Find the initial temperature of the soda and its temperature after 20 minutes, Round your answers to the nearest degree as necessary.
initial temperature:
temperature after 20 minutes:
Answers
The initial temperature of the soda is 22 degrees Celsius, and its temperature after 20 minutes is approximately 10 degrees Celsius.
To find the initial temperature of the soda, we need to evaluate the temperature function T(x) at x = 0.
T(x) = -5 + 27e^(-0.03x)
T(0) = -5 + 27e^(-0.03(0))
T(0) = -5 + 27e^0
Since any number raised to the power of 0 is 1, we have:
T(0) = -5 + 27(1)
T(0) = -5 + 27
T(0) = 22
Therefore, the initial temperature of the soda is 22 degrees Celsius.
To find the temperature of the soda after 20 minutes, we evaluate the temperature function at x = 20.
T(x) = -5 + 27e^(-0.03x)
T(20) = -5 + 27e^(-0.03(20))
T(20) = -5 + 27e^(-0.6)
Using a calculator, we can compute e^(-0.6) ≈ 0.5488.
T(20) = -5 + 27(0.5488)
T(20) = -5 + 14.8152
T(20) ≈ 9.8152
Therefore, the temperature of the soda after 20 minutes is approximately 10 degrees Celsius (rounded to the nearest degree).
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if you have a slope of 1/2 that means you should
Answers
Study these equations:
f(x) = 2x – 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
h(x) = 6x2 – 10x – 4
h(x) = 6x2 – 12x – 4
h(x) = 6x2 + 2x – 4
h(x) = 6x2 + 14x + 4
Answers
Answer:
6x2-10x-4
Step-by-step explanation:
hx=(2x-4)(3x+1)
hx=2x(3x+1)-4(3x+1)
hx=6x2+2x-12x-4
hx=6x2-10x-4
PLEASE HELP ME
The following data set shows the pulse rate of some goats at a farm:
75, 76, 77, 76, 77, 76, 78, 75, 78, 76, 79, 76, 78, 76, 77, 76
Which dot plot best represents the data?
dot plot with 2 dots over 75, 8 dots over 76, 3 dots over 77, 3 dots over 78, no dot over 79
dot plot with 2 dots over 75, 7 dots over 76, 3 dots over 77, 3 dots over 78, 1 dot over 79
dot plot with 1 dot over 75, 8 dots over 76, 3 dots over 77, 3 dots over 78, 1 dot over 79
dot plot with 2 dots over 75, 6 dots over 76, 3 dots over 77, 3 dots over 78, 1 dot over 79
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Answer: B) dot plot with 2 dots over 75, 7 dots over 76, 3 dots over 77, 3 dots over 78, 1 dot over 79
Step-by-step explanation: took the test, hope this helps c: