In the commutative property, order does not matter for addition and multiplication. However, this is not true when it comes to subtraction and division problems, where order does matter.
The commutative property states that:
a + b = b + a (addition)
a × b = b × a (multiplication)
However, this does not apply to:
a - b ≠ b - a (subtraction)
a ÷ b ≠ b ÷ a (division)
In subtraction and division, the order of the operands matters, and changing the order can result in different values.
Identify the radical expression of 5^1/3.
Answer:
D
Step-by-step explanation:
The ⅓ power means cube root.
5^⅓ = ∛5
Answer D.
Which outcomes are in A or B ?
Answer:
I think its B
The outcomes which are in A or B are Tokyo, Houston, New York, Tijuana and Canada.
What is an event?An event is defined as something that occurs or is perceived to occur; an occurrence, especially one of some significance.
In the table it is clearly visible:
Event A = Tokyo, Houston, New York, Tijuana
Event B = Houston, New York, Tijuana and Canada
We have to choose outcomes which are either in A or in B
Hence the outcomes are Tokyo, Houston, New York, Tijuana and Canada.
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I NEED INSTANT HELP WITH MY ALGEBRA!!!!!
Which model represents the factors of 4x2 – 9?
the frequency of the musical note c4 is about 126.63 hz
what is the frequency of the note one octave above c4
Choices
987.76 hz
740.82 hz
253.26 hz
246.94 hz
Answer:
Each octave change requires a doubling of the frequency.
Therefore, one octave above 126.63 is 126.63 * 2 which equals
253.26
Step-by-step explanation:
The frequency of the note one octave above c4 would be 253.26 hz.
The frequency of the musical note C4 is about 126.63 hz
We need to find the frequency of the note one octave above C4.
What is the frequency?Frequency is the number of occurrences of any repeating cycle per unit in time.
When we go up an octave, we double the original frequency.
When we go down an octave, we divide the original frequency by two.
So, since C4's frequency is about 126.63 hz,
octave above = 2 x 126.63 hz
= 253.26 hz
Thus, The frequency of the note one octave above c4 would be 253.26 hz.
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An environmental organization releases a study reporting that the cities with the worst traffic jams have the worst air pollution.
Which statement describes the best conclusion to draw from the study?
A. There may be a link between traffic jams and a city's air quality.
B. Cities with good air quality do not have traffic jams.
C. Avoiding traffic jams can improve air quality.
D. Being stuck in traffic causes air pollution.
Answer:
B
Step-by-step explanation:
The study doesn't prove a causation, only a correlation. So we can conclude that cities with good air quality do not have traffic jams.
Answer:
B. Cities with good air quality do not have traffic jams.Step-by-step explanation:
If an environmental organization releases a report where they state that the cities with the worst traffic jams have the worst air pollution, then we can deduct from this conclusion its anti-thesis, which is the cities without traffic jams have better air quality.
We deduct this because the given statement is a relation between two variables: traffic jam and air pollution. When we set a relationship between variable and we draw a conclusion, we have to determine all the deduction that can be made, like in this case.
Basically, the given relationship between variables is directly proportional, the more traffic jams, the more air pollution. Which also can be stated as the less traffic jams, the less air pollution.
Therefore, the conclusion that describes best the conclusion draw from the study is B. Cities with good air quality do not have traffic jams.
Find the exact value of csc (-4pi/3)
1. 2sqrt3/3
2. sqrt3/2
3. -sqrt3/2
4. -2sqrt3/3
Answer:
option 1
2sqrt3/3
Step-by-step explanation:
Given in the question
csc(-4π/3)
we know that csc(x) = [tex]\frac{1}{sin(x)}[/tex] that means
[tex]csc(\frac{-4\pi}{3})=\frac{1}{sin(\frac{-4\pi}{3} )}[/tex]
sin(-4π/3) = [tex]\frac{\sqrt{3}}{2}[/tex]
so,
[tex]csc(\frac{-4\pi}{3})=\frac{1}{\frac{\sqrt{3}}{2} }[/tex]
[tex]\frac{1}{\sqrt{3}/2 }[/tex] = [tex]\frac{2}{\sqrt{3}}=\frac{2\sqrt{3}}{3}[/tex]
Allie and Evelyn share a pizza and split the cost. They each pay $7.74. Which of the following equations can be used to find the cost of the pizza?
2p = 7.74
7.74/2 = p
7.74/p = 2
p/2 = 7.74
p/2=7.74
This was a trick question. P is the variable that represents the total cost of the pizza. To normally find the total cost of pizza using the cost each of the two people spent, you would simply multiply 7.74*2=p. Since that wasn’t in the choices, you can divide by two on each side to get p/2=7.74.
Answer:
D
Step-by-step explanation:
Identify the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula. Please, help with this question!!
Answer:
V = 6, E = 9, F = 5 is the answer
The relation between vertices, edges, and faces is F + V = E + 2.
You have to count the faces, vertices and edges of a polyhedron.
How to Identify the number of vertices, edges, and faces?A polyhedron is a 3-dimensional solid made by joining together polygons. Face: The flat surfaces that make up a polyhedron
Edges: It is a line segment formed when two faces meet up.
Vertices: It is the point of intersection of the edges of the polyhedron. Taking an example of Tetrahedron.
It has 4 faces, 4 vertices and 6 edges. Recall Euler's formula which states F + V = E + 2
where F, V, and E represent the number of faces, edges, and vertices of the polyhedron respectively. Verifying the Euler's formula for tetrahedron F = 4V = 4E = 6
so 4 + 4 = 6 + 2
Hence we can verify the Euler's formula.
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Please help
A toy rocket is fired into the air from a base that is 3 feet tall. The rocket's path can be modeled by the function, h(t) = −16t2+75t +3, where time (t) is represented in seconds and the height is h(t). At what time does the rocket hit the ground?
between 2 and 3 seconds
between 3 and 4 seconds
between 4 and 5 seconds
The rocket never hits the ground.
between 4 and 5 seconds is the correct answer
Find a recurrence relation for the number of strictly increasing sequences of positive integers that have 1 as their first term and n as their last term, where n is a positive integer. that is, sequences a1, a2,...,ak, where a1 = 1, ak = n, and aj < aj+1 for j = 1, 2,...,k − 1.
b.what are the initial conditions?
c.how many sequences of the type described in (a) are there when n is an integer with n ≥ 2?
Answer:
Step-by-step explanation:
(1)
[tex]a_i = a_{i-1} + 1[/tex]
(2)
The initial condition is [tex]a_1 = 1[/tex]
(3)
Infinitely many.
a) The recurrence relation is sₙ = sₙ₋₁ + sₙ₋₂ + ... + s₂ + s₁.
b) the initial condition s₂ = 1.
c) Clearly the solution to this recurrence relation and initial condition is sₙ = 2n-2 for all n >= 2.
Here, we have,
Let sₙ be the number of such sequences.
A string ending in n must consist of a string ending in something less than n, followed by an n as the last term.
Therefore the recurrence relation is sₙ = sₙ₋₁ + sₙ₋₂ + ... + s₂ + s₁.
This is equivalent to sₙ = 2sₙ-1.
b) We need two initial conditions if we use the second formulation above, s₁ = 1 and s₂ = 1.
There's one sequence which ends in 1,
and there is only the sequence 1,2 ending in 2.
If we use the first formulation above, then we can get by with just the initial condition s₂ = 1.
c) Clearly the solution to this recurrence relation and initial condition is sₙ = 2n-2 for all n >= 2.
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Emily needs 5 cups of milk to make a vanilla milkshake. Should she buy a pint a quart or a gallon of milk. Explain your answer.
A pint has 2 cups, quart has 4, and gallon has 16 so she would need at least a gallon
Answer:
Gallon
Step-by-step explanation:
Because a pint has 2 cups and a quart has 4 but you need 5
Evaluate the triple integral. 5x dv, where e is bounded by the paraboloid x = 7y2 + 7z2 and the plane x = 7. e
Convert to cylindrical coordinates:
[tex]x=x[/tex]
[tex]y=r\cos\theta[/tex]
[tex]z=r\sin\theta[/tex]
Then [tex]E[/tex] is the set of points [tex](r,\theta,x)[/tex] such that [tex]0\le r\le1[/tex], [tex]0\le\theta\le2\pi[/tex], and [tex]7y^2+7z^2\le x\le7[/tex] or [tex]7r^2\le x\le7[/tex].
Now
[tex]\displaystyle\iiint_E5x\,\mathrm dV=5\int_0^{2\pi}\int_0^1\int_{7r^2}^7xr\,\mathrm dx\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{245\pi}3}[/tex]
To evaluate the triple integral, convert to cylindrical coordinates and use the given bounds. Plug in the limits of integration and calculate the integral.
Explanation:To evaluate the triple integral ∫ 5x dv, where E is bounded by the paraboloid x = 7y^2 + 7z^2 and the plane x = 7, we can use cylindrical coordinates. Let's express x in terms of y and z:
x = 7y^2 + 7z^2
Substitute this expression for x in the integral:
∫5x dv = ∫35(y^2 + z^2) dv
Now, convert the integral to cylindrical coordinates:
∫35(r^2sin(θ)rdrdθdz
Since the region E is bounded by x = 7, the limits of integration for r and z are 0 to 7. For θ, the limits are 0 to 2π. Plug in these limits and evaluate the triple integral to find the answer.
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Find the amplitude and period of f(t)=1/2sin 3t
Answer: Option A
The Amplitude is
[tex]A = \frac{1}{2}[/tex]
Then the period is
[tex]\frac{2}{3}\pi[/tex]
Step-by-step explanation:
The general sine function has the following form
[tex]y = Asin(bx) + k[/tex]
Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.
[tex]\frac{2\pi}{b}[/tex] is the period: time it takes the wave to complete a cycle.
k is the vertical displacement.
In this case we have the following function
[tex]f(t)=\frac{1}{2}sin(3t)[/tex]
Thus:
[tex]b=3[/tex]
Then the period is
[tex]\frac{2\pi}{3}=\frac{2}{3}\pi[/tex]
The Amplitude is
[tex]A = \frac{1}{2}[/tex]
The answer is Option A
Answer:
a. amplitude: [tex]\displaystyle \frac{1}{2};[/tex]period: [tex]\displaystyle \frac{2}{3}\pi[/tex]
Explanation:
[tex]\displaystyle f(t) = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{3}\pi \\ Amplitude \hookrightarrow \frac{1}{2}[/tex]
With the above information, you now should have an idea of how to interpret graphs like this.
I am joyous to assist you at any time.
Use the function below to find F(-4)
[tex]F(x) = 2^x[/tex]
A. 1/8
B. -16
C. -8
D. 1/16
Answer:
D
Step-by-step explanation:
The question is on negative exponents
Given that;
F(x)=2^x
From the general formulae a^-n =1/a^n
Hence
F(-4)= 2⁻⁴
F(-4)= I/ 2⁴
=1/16
Write each series in sigma notation. The lower bound is given.
[tex]\frac{1}{2} + \frac{1}{4} +\frac{1}{8} + ...+\frac{1}{128} ;n=2[/tex]
Answer:
The sigma notation of the series is 8∑n=2 [1/2(1/2)^n-2]
Step-by-step explanation:
* Lets revise the meaning of sigma notation
- A series can be represented in a compact form, called summation or
sigma notation.
- The Greek capital letter, ∑ , is used to represent the sum.
# Ex:
- The series 4 + 8 + 12 + 16 + 20 + 24 can be expressed 6Σ(n=1) 4n
- The expression is read as the sum of 4n as n goes from 1 to 6
- The coefficient of n is 4 because the common difference is 4
- The variable n is called the index of summation.
# Look to the attached figure to more understand
* Now lets solve the problem
∵ The series is 1/2 + 1/4 + 1/8 + ........... + 1/128 and n = 2
- There is a constant ratio between each to consecutive terms
∴ The series is geometric
∴ a1 = a , a2 = ar , a3 = ar² , a4 = ar³ , ..........
∵ an = a(r)^n-1, where a is the first term, r is the common ratio and n
is the position of the number in the series and the first n is 1
∵ 1/4 ÷ 1/2 = 12 , 1/8 ÷ 1/4 = 1/2
∴ The constant ratio is 1/2
∵ The first term is 1/2
∵ The last term is 1/128
∵ 1/128 = 1/2^7
∴ 1/128 = (1/2)^7
- There are seven terms in the sequence
∵ The n of the first term is 2
∴ The n of the last term = 7 + 1 = 8
* Now lets write the sigma notation
∴ 8∑n=2 [1/2(1/2)^n-2] ⇒ put them like the attached figure
- To generate the terms of the series given in sigma notation above,
replace n by 2 , 3 , 4 , 5 , 6 , 7 , 8
Help me with this trig question
Answer:
Answer 2
Step-by-step explanation:
We start with (log to the base x of 8) = y and want to find the value of y.
Obviously the base here is x.
Therefore,
(log to the base x of 8) y
x = x
The quantity on the left side of this equation simplifies to 8.
y
Then we have 8 = x
We'll need to solve this equation for y. To do so, take the common log of both sides, obtaining:
log 8
log 8 = y log x, so that y = ----------- This corresponds to given answer 2.
log x
What is the solution of the equation?
b + 5/6 = 10
Answer:
b = 9 1/6
Step-by-step explanation:
b + 5/6 = 10
Subtract 5/6 from each side
b + 5/6 -5/6= 10-5/6
b = 10 -5/6
Borrow 1 from the 10 in the form of 6/6
b = 9 +6/6 - 5/6
b = 9 +1/6
b = 9 1/6
Does this graph represent a function?
A. Yes, because each x-value has exactly one corresponding y-value
B. No, because some of the y-values are paired with two x-values
C. No, because there are no closed circles to show here the graph ends.
D. Yes, because it touches the y-axis exactly one time.
A function assigns the value of each element of one set to the other specific element of another set. The correct option is A.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
In the given graph each specific value of x from the x-axis is representing a value on the y-axis. Therefore, as per the definition of the function, it can be concluded that the given graph is a function because each x-value has exactly one corresponding y-value.
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A garage door that is 16 feet wide and 7 feet high is being painted the door have three windows that will not be painted each rectangular window is 1 foot high and 3 feet wide what area of the garage door will be painted
Answer:
103 ft
Step-by-step explanation: First, you find the area of the garage door as a whole (112 ft). Then, you find the area of each the three windows and add them together (their total area together is 9 ft). Lastly, you subtract this sum from the area of the whole door and the answer that you will get is 103 ft. Hope this helps :)
The area of the garage door to be painted, excluding the rectangular window is 103 ft².
To find the area of the garage door that will be painted:
Calculate the total area of the garage door: 16 ft wide x 7 ft high = 112 ft².
Subtract the area of the three windows: 3 windows x (3 ft wide x 1 ft high) = 9 ft².
The area to be painted is 112 ft² - 9 ft² = 103 ft².
Wahaj buys a pizza for rs 800.A week later,the same piza costs rs 900.When wahaj asks the manger for the reason ,he explain that the government has imposed a general sales tax on all resturants .What is the general sale tax percentage
Answer:
12.5%
Step-by-step explanation:
The price increased from 800 to 900. So what is the PERCENTAGE INCREASE??
The increase is 900 - 800 = 100
To find this in terms of original, we need to divide 100 by 800 and multiply by 100 to get the "percentage". Let's do it:
[tex]\frac{100}{800}*100=12.5[/tex]
So the increase is 12.5% and thus the general sales tax is 12.5%
Final answer:
The general sales tax percentage imposed on the pizza price is 12.5%, calculated by dividing the increase in price by the original price and multiplying by 100.
Explanation:
When Wahaj experienced an increase in price from rs 800 to rs 900 for the same pizza after a week, this is due to the imposition of a general sales tax by the government. To calculate the percentage rate of the sales tax, we can compare the two prices.
The original price of the pizza was rs 800. A week later, the price rose to rs 900. The difference between the two prices, which is rs 100, represents the amount of the sales tax added to the original price. The percentage rate of this sales tax can be calculated as follows:
Sales Tax Percentage = (Amount of Sales Tax / Original Price) x 100%
Using the figures we have: Sales Tax Percentage = (100 / 800) x 100% = 0.125 x 100% = 12.5%
Therefore, the general sales tax percentage imposed on the restaurant is 12.5%
Use the explicit formula an = a1 + (n - 1) • d to find the 350th term of the sequence below. 57, 66, 75, 84, 93, ... A. 3234 B. 3207 C. 3141 D. 3198
Answer:
D
Step-by-step explanation:
57+(350-1)*9
Answer:
D
Step-by-step explanation:
Each term goes up 9 from the term before it.
Givens
a1 = 57
d = 9
n = 350
an = ?
Formula
an = a1 + (n- 1)*d
Solution
An = 57 + (350 - 1)*9
An = 57 + 3141
An = 3198
D
MATH HELP?????What is a square root???????????
Answer:
A square root is a number that produces a specific quantity when multiplied by itself.
Step-by-step explanation:
For example, 9 is the square root of 81, as 9*9=81
Answer:
a number which produces a specified quantity when multiplied by itself.
Step-by-step explanation:
hope this helps!! brainly please!
How to solve? Sara has $100. She gave 3/4 of the money to her sister. She gave 1/2 of the rest of the money to her friend. How much money does she have left after giving the money away?
Answer:
$12.50
Step-by-step explanation:
she has $100. 3/4 of that would be $75. what she has left would be $25. half of that would be $12.50. so she has $12.50 left.
A series of transformations on quadrilateral s resulted in quadrilateral t. Which transformation on quadrilateral s must be included to result in quadrilateral t
Reflection because it's one of them
Compare each of the functions shown below:
Answer:
D. All three functions have the same rate of change.
Step-by-step explanation:
1. For the function f(x):
at [tex]x=\pi,[/tex] [tex]f(\pi)=0;[/tex]at [tex]x=\dfrac{3\pi }{2},[/tex] [tex]f\left(\dfrac{3\pi}{2}\right)=-4.[/tex]The rate of change is
[tex]\dfrac{f(\frac{3\pi}{2})-f(\pi)}{\frac{3\pi}{2}-\pi}=\dfrac{-4-0}{\frac{\pi}{2}}=-\dfrac{8}{\pi}.[/tex]
2. For the function g(x):
at [tex]x=\pi,[/tex] [tex]g(\pi)=0;[/tex]at [tex]x=\dfrac{3\pi }{2},[/tex] [tex]g\left(\dfrac{3\pi}{2}\right)=-4.[/tex]The rate of change is
[tex]\dfrac{g(\frac{3\pi}{2})-g(\pi)}{\frac{3\pi}{2}-\pi}=\dfrac{-4-0}{\frac{\pi}{2}}=-\dfrac{8}{\pi}.[/tex]
3. For the function h(x):
at [tex]x=\pi,[/tex] [tex]h(\pi)=4\cdot \sin \pi+2=2;[/tex]at [tex]x=\dfrac{3\pi }{2},[/tex] [tex]h\left(\dfrac{3\pi}{2}\right)=4\cdot \sin \frac{3\pi}{2}+2=-4+2=-2.[/tex]The rate of change is
[tex]\dfrac{h(\frac{3\pi}{2})-h(\pi)}{\frac{3\pi}{2}-\pi}=\dfrac{-2-2}{\frac{\pi}{2}}=-\dfrac{8}{\pi}.[/tex]
All three functions have the same rate of change.
A number is chosen at random from the first 20 integers. Find the probability that the number is a multiple of 3.
Answer:
3/10
Step-by-step explanation:
Multiples of 3: 3,6,9,12,15,18
There are 6 in the numbers 1-20
P(multiple of 3) = number of "multiples of 3" / total
= 6/20
=3/10
Final answer:
The probability that a number chosen at random from the first 20 integers is a multiple of 3 is 3/10 or 30%.
Explanation:
The student is asking to find the probability that a number chosen at random from the first 20 integers is a multiple of 3. To solve this, we first identify the multiples of 3 within the first 20 integers. They are 3, 6, 9, 12, 15, and 18, a total of 6 numbers. The total number of possible outcomes when choosing one number from the first 20 integers is 20.
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Therefore, the probability of choosing a multiple of 3 is 6/20, which simplifies to 3/10 or 0.3. This means there is a 30% chance of choosing a multiple of 3 from the first 20 integers.
Find the maximum and minimum values of the function.
Y=-cos8x
Answer:
A
Step-by-step explanation:
Given a sinusoidal function (sine function or cos function) in the form
y = A Cos (Bx), we can say that A is the amplitude.
Amplitude defines the function's maximum and minimum.
The maximum of this form of function is A and the minimum is -A.
The function given is y = -Cos(8x), so A is -1
Thus, maximum value is 1 and minimum value is -1.
Correct answer is A
For the following pair of lines, identify the system by type.
A) consistent
B) equivalent
C) inconsistent
ANSWER
C) inconsistent
EXPLANATION
The given system is inconsistent.
The two lines are parallel and have distinct y-intercepts.
This means that the two lines will never meet.
Since the two lines have no points of intersection, it means the system of equations they represent has no solution.
Therefore the system is inconsistent.
The correct choice is C
Answer:
If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
Step-by-step explanation:
Jeff is going to cut this shape out of a piece of paper. He will fold the paper on the dotted lines and connect all the edges. What solid will Jeff have when he is done?
Can we have a Picture to see the shape
Answer:
noo
Step-by-step explanation:
The first step when dividing 9m2 − 4m − 6 by 3m is shown.
(9m^2 divided by 3m)-(4m divided by 3m)-(6 divided by 3m)
Which could be the next step?
(A) 3m-3/4-m/2
(B) 3m-3/4-2/m
(C) 3m-4/3-m/2
(D) 3m-4/3-2/m
Answer: Option D
[tex]3m-\frac{4}{3}-\frac{2}{m}[/tex]
Step-by-step explanation:
The initial expression is:
[tex]\frac{9m^2 - 4m - 6}{3m}[/tex]
The first step is:
[tex]\frac{9m^2}{3m} - \frac{4m}{3m} - \frac{6}{3m}[/tex]
Now we must simplify the 3 fractions.
We know that by properties of the division of exponents of the same base:
[tex]\frac{a^n}{a^h}= a^{n-h}[/tex]
Then for the expression:
[tex]\frac{9m^2}{3m}[/tex]
In this case
[tex]a=m\\n=2\\h=1[/tex]
[tex]\frac{9m^2}{3m} = 3m^{2-1}=3m[/tex]
Then for the expression:
[tex]\frac{4m}{3m}[/tex]
[tex]a=m\\n=1\\h=1[/tex]
[tex]\frac{4m}{3m}= \frac{4}{3}m^{1-1}=\frac{4}{3}[/tex]
Then for the expression:
[tex]\frac{6}{3m}[/tex]
[tex]a=m\\n=0\\h=1[/tex]
[tex]\frac{6}{3m}=\frac{2}{m}[/tex]
Finally
[tex]\frac{9m^2}{3m} - \frac{4m}{3m} - \frac{6}{3m}=3m-\frac{4}{3}-\frac{2}{m}[/tex]