Final answer:
The function y = 2x is linear and without a period, whereas the function y = sin x is periodic with a period of 2π radians.
Explanation:
The period of a function is the length of the interval over which it repeats.
The function y = 2x is a linear function, not a periodic function, and thus does not have a period.
In contrast, the function y = sin x is a periodic function and has a period of 2π radians.
This means that the sine function repeats its values every 2π radians.
Therefore, when comparing the period of these two functions, we can conclude that y = 2x does not have a defined period, while y = sin x has a period of 2π radians.
In simplest racial form what are the solutions to the quadratic equation 0= -3x-4x+5
Answer:
Step-by-step explanation:
Answer:
x = 5/7
Step-by-step explanation:
We find x by watching organic tutor
Write the following equation in slope-intercept form: 4x – 5y = 15.
Answer:
y = (4/5)x - 3
Step-by-step explanation:
slope intercept form: y = mx + b
Note the equal sign, what you do to one side, you do to the other. First, subtract 4x from both sides:
4x - 5y = 15
4x (-4x) - 5y = 15 (-4x)
-5y = -4x + 15
Next, divide -5 from both sides:
(-5y)/-5 = (-4x + 15)/-5
y = (-4x + 15)/-5
Simplify Divide -5 from all terms within the parenthesis:
y = (4/5)x - 3
y = (4/5)x - 3 is your answer.
~
Which number is the additive inverse of -5?
Answer:
It would be 5
Step-by-step explanation:
SO the additive inverse would basically just be the opposite of the number, for example lets say you had 12, the additive inverse would be -12. You're just changing the sign of the number! From what i know i believe that's it. Have a nice day! :D
Mrs.Brown gives two tests to her class. 30% of the class passed both tests and 45% of the class passed the first test. What percent passed the second test given that they passed the first test?
Answer:
15%
30 percent passed BOTH tests.....Only 15% passed ONLY first test
30/(30+15) = 67% of those who passed the first test ALSO passed the second test.
Which mathematical symbol would best fill in the blank to compare the two real numbers? (4 points) square root of 7 blank 14 over 5 Group of answer choices < > = ≈
Answer is <
Step-by-step explanation:
To compare the square root of 7 and 14 over 5, we find their approximate values. Since 2.65 (root 7) is less than 2.8 (14/5), the correct mathematical symbol to use is <.
Explanation:The question asks us to compare two real numbers: the square root of 7 and 14 over 5. First, we need to estimate these numbers. The square root of 7 is approximately 2.65. 14 divided by 5 equals 2.8. Therefore, we can say that 2.65 is less than 2.8. As such, the mathematical symbol that should be used is < which means 'less than'.
Learn more about Real Numbers here:https://brainly.com/question/17121792
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Connie collected 50 seashells during her 5-day vacation. Each day she collected 3 more than the previous day. How many seashells did she find each day? PLEASE HELP!
Answer:
The number of seashells collected on day 1 to day 5 is 4, 7, 10, 13 and 16 respectively
Step-by-step explanation:
This is a question that deals with consecutive numbers.
Let x represent the number of seashells collected on her first day.
Given that she collected 3 more each day, then
On day 2, she collected x + 3
On day 3, she collected x + 6
On day 4, she collected x + 9
On day 5, she collected x + 12
Adding up the above will give the number of sea shells collected on day 1;
i.e.
x + x + 3 + x + 6 + x + 9 + x + 12 = 50
Collect like terms
x + x + x + x + x + 3 + 6 + 9 + 12 = 50
5x + 30 = 50
5x = 50 - 30
5x = 20
Multiply ⅕ to both sides
⅕ * 5x = ⅕ * 20
x = 4.
This mean that she found 4 seashells on day 1;
Recall that day 2 = x + 3
So, day 2 = 4 + 3 = 7 seashells
day 3 = x + 6
day 3 = 4 + 6 = 10 seashells
day 4 = x + 9
day 4 = 4 + 9 = 13 seashells
day 5 = x + 12
day 5 = 4 + 13 = 16 seashells
Hence, the number of seashells collected on day 1 to day 5 is 4, 7, 10, 13 and 16 respectively
Solve 2x² -9x-5=0 by factoring. what is the
Solution?
Answer:
0
Step-by-step explanation:
Multiply.
Your answer should be a monomial in standard form.
(Y^8)(-2y²) =
[tex]( {y}^{8} )( - 2 {y}^{2} ) = - 2 {y}^{10} [/tex]
To multiply the monomials (Y⁸)(-2y²), add the exponents and multiply the coefficients resulting in -2y¹⁰.
To multiply the given monomials (Y⁸)(-2y²), we use the laws of exponents which state that when multiplying like bases, we add the exponents. The coefficient -2 multiplies by 1 (the implied coefficient of Y⁸) to remain -2. The new exponent for 'y' is the sum of 8 and 2, which is 10. So, the product in standard form is -2y¹⁰.
Step by step solution:
Identify like bases, which in this case is 'y'.Add the exponents of 'y' (8 from Y^8 and 2 from y²) to get a new exponent of 10.Multiply the coefficients (1 and -2) to get -2.Write the final answer combining the new coefficient and the new exponent of 'y': -2y¹⁰.Solve the system of equations :
2x -5y=-22
X+7y=27
Answer:
X = -1 Y = 4
Step-by-step explanation:
Put the 7y over so it is 27-7y
after that you fill in the x on the top formula with (27-7y)
From there you solve like normal for Y, which ends out being 4.
Once you have that you can plug 4 into the Y spot in the bottom formula and just solve for X
:3
Which point on the coordinate plane is located at (4,0)?
A) point A
B) point B
C) point C
D) point D
Answer:
point B
Step-by-step explanation:
The coordinates (4,0) is has the numbers 4 and 0.
4 is positive and can be represented as moving right on the origin. Since, there is no rise it stays.
The floor function maps any number to the greatest integer that is _[blank]_ the number.
Which phrase correctly fills in the blank of the previous statement?
A.) greater than
B.) greater than or equal to
C.) less than or equal to
D.) less than
Answer:
C. Less than or equal to
Step-by-step explanation:
The floor function is a function used to return an integer value that is great than the input number.
More often than not, the input number is a real number.
Take for instance.
Floor(3.2).
Going by the explanation above, the result of this will be 3
How about floor(-3.2)
The result of this will be -4.
This is so because -4 is less than or equal to -3.2.
The floor function maps any number to the greatest integer that is C.) less than or equal to the number.
The floor function maps any number to the greatest integer that is less than or equal to the number. This means that for any real number \( x \), the floor function, denoted as [tex]\( \lfloor x \rfloor \),[/tex] will produce the largest integer that does not exceed \( x \). For example, \( \lfloor 3.7 \rfloor = 3 \) and \( \lfloor -2.3 \rfloor = -3 \).
The floor function is widely used in mathematics and computer science for rounding down numbers to the nearest integer. It is especially useful in discrete mathematics, algorithms, and number theory. When working with the floor function, it is essential to understand that it always rounds down towards negative infinity, not necessarily towards zero. Thus, for any real number \( x \), \( \lfloor x \rfloor \leq x \).
Therefore, the correct phrase to complete the statement about the floor function is:
C.) less than or equal to.
Write 6,020,300 in expanded form.
Answer:
6,000,000 + 20,000 + 300
Step-by-step explanation:
I need help!!!???
The circle below is centered at the point (2,-1) and has a radius of length 3.
What is its equation?
А. (x-1)^2 + (y+ 2)^2 = 9
в. (х-2)^2 + (y+ 1)^2 =3^2
C. (х+ 2)^2 + (у - 1)^2 =3^2
D. (х+ 1)^2 + (y-2)^2 = 9
Answer:
Letter B is the answer.
Using the matrix solver on your calculator, find the solution to the system of equations shown below.
5x+5y=20
2x+2y=8
Options:
A. x = 5, y = 5
B. x = 2, y = 2
C. No solution
D. More than 1 solution
The system of equations 5x+5y=20 and 2x+2y=8 is dependent with infinitely many solutions, meaning there is more than one solution
Explanation:To solve the system of linear equations:
5x + 5y = 202x + 2y = 8First, notice that both equations are multiples of the other. If you divide the first equation by 5 and the second equation by 2, you get the same equation:
x + y = 4
Since both equations are effectively the same, every solution to one is a solution to the other, which means that there are infinitely many solutions. This sort of system is called dependent, meaning one equation can be derived from the other.
So, using a matrix solver on a calculator will indicate that the system does not have a unique solution. The correct answer is:
D. More than 1 solution
If u could do this it would be great
When adding polynomial expressions, add the monomials with the same degree:
[tex]3g^2 + 3g^2[/tex]
[tex]-g - 8g[/tex]
[tex]4[/tex]
=
[tex]6g^2 -9g + 4[/tex]
Write an equivalent
expression for
88 + 16x + 8
Answer:
16x + 96
Step-by-step explanation:
You can add 88 + 8 for and get the same answer
Answer: 16x+8+88
Step-by-step explanation:
All you need to do is move around the numbers and then you get the answer
Please help!! :) Cant solve it on paper currently since its late and just doing it online.
Answer:
14.4 in
Step-by-step explanation:
Using the formula of the Pythagorean theorem, a² + b² = c², we can find the length of the missing side.
a = 8
b = 12
c = ?
8² + 12² = 208
To get your answer, you must take the square root of 208.
√208 = 14.4222051
Which equation BEST represents the line of best fit for the scatterplot?
A) y = 3x
B) y = x - 2
C) y = x - 3
D) y = x + 3
Let ∠Q be an acute angle such that tanQ=0.04. Use a calculator to approximate the measure of ∠Q to the nearest tenth of a degree.
m∠Q≈ __∘
We have been given that ∠Q is an acute angle such that [tex]\text{tan}(Q)=0.04[/tex]. We are asked to find the measure of angle Q to nearest tenth of a degree.
We will use arctan to solve for measure of angle Q as:
[tex]Q=\text{tan}^{-1}(0.04)[/tex]
Now we will use calculator to solve for Q as:
[tex]Q=2.290610042639^{\circ}[/tex]
Upon rounding to nearest tenth of degree, we will get:
[tex]Q=2.3^{\circ}[/tex]
Therefore, measure of angle Q is approximately 2.3 degrees.
The measure of angle Q, rounded to the nearest tenth of a degree, is approximately 131.4 degrees.
To approximate the measure of angle [tex]\( \angle Q \)[/tex] given [tex]\( \tan Q = 0.04 \)[/tex], follow these steps manually:
1. Use the inverse tangent function : Use the inverse tangent function [tex](arctangent or \( \tan^{-1} \)) to find \( Q \)[/tex].
2. Calculate [tex]\( Q \)[/tex] : Calculate [tex]\( Q = \tan^{-1}(0.04) \)[/tex].
3. Convert to degrees : The result of [tex]\( \tan^{-1}(0.04) \)[/tex] will give you [tex]\( Q \)[/tex] in radians. To convert radians to degrees, multiply by [tex]\( \frac{180}{\pi} \)[/tex].
- [tex]\( Q = \tan^{-1}(0.04) \)[/tex]
- Suppose [tex]\( \tan^{-1}(0.04) \approx 2.29161 \)[/tex] radians.
- Convert radians to degrees: [tex]\( Q \approx 2.29161 \times \frac{180}{\pi} \)[/tex]
- [tex]\( Q \approx 2.29161 \times 57.2958 \)[/tex]
- [tex]\( Q \approx 131.384 \)[/tex] degrees (this is the exact calculated value).
4. Round to the nearest tenth :
Since we need to round to the nearest tenth of a degree,
- [tex]\( Q \approx 131.4^\circ \)[/tex].
Therefore, the measure of [tex]\( \angle Q \)[/tex], rounded to the nearest tenth of a degree, is approximately [tex]\( 131.4^\circ \)[/tex].
Help me please
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Answer:
2
Step-by-step explanation:
The Fundamental theorem of algebra states that a polynomial of degree n has n roots. These can be real or complex.
A quadratic is of degree 2 and has 2 roots.
Find the slope given the points (1,1) and (3,7)
Answer:
3
Step-by-step explanation:
gradient = (7-1)/(3-1) = 6/2=3
Answer:
Slope is 3
Step-by-step explanation:
m = Δy/Δx
m = (7-1)/(3-1)
m = 6/2
m=3
Hope this helps :)
An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation
2000.081 - 350 represents the situation, where t is the number of years the money has been invested. About how long has the
money been invested? Use a calculator and round your answer to the nearest whole number.
Point A is at (-2,-7) and point B is at (7,4).
What is the midpoint of line segment AB?
The coordinates of the midpoint would be (5/2, -3/2) of line segment AB.
What is Midpoint?A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.
Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,
M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Coordinates of A are (-2,-7),
Coordinates of B are (7, 4),
M is the midpoint of AB which is given in the question
So the coordinates of M as:
⇒ M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Substitute the values, and we get
⇒ M = ((-2 + 7)/2, ( -7 + 4)/2)
⇒ M = ((5)/2, ( -3)/2)
⇒ M = (5/2, -3/2)
Therefore, the coordinates of the midpoint would be (5/2, -3/2) of line segment AB.
Learn more about the midpoint here :
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Mrs. Child bakes pumpkin pies using a deep‐dish pie plate with a 9 inch diameter. If she cuts her pies into 12 equal slices and you eat two slices for dessert, what is the total length of the crust you have eaten?
Answer:[tex]4.71\ in.[/tex]
Step-by-step explanation:
Given
diameter of pie is [tex]d=9\ inch[/tex]
radius [tex]r=\frac{9}{2}=4.5\ inch[/tex]
If child divides pie into 12 equal parts then each part subtends an angle of
[tex]=\frac{360^{\circ}}{12}=30^{\circ}[/tex] at the center
and crust length of single piece is
[tex]=\frac{30}{360}\times 2\pi r[/tex]
[tex]=\frac{1}{12}\times 2\times \pi \times 4.5[/tex]
[tex]=2.35\ in.[/tex]
For two slice length is [tex]2\times 2.35=4.71\ in.[/tex]
Thus the total length of crust eaten is [tex]=4.71\ in.[/tex]
HELP PLEASE WILL MARK BRAINIST
Answer:
i did the math and it should be B. 7 hours
Step-by-step explanation:
i really need help! can someone help me
Answer:
M + $13.72 = $58.22
Step-by-step explanation:
Manny and Sam combined (+) have a total (=) of $58.22
M + S = $58.22
M + $13.72 = $58.22
Answer:
m + $13.72 = $58.22
Step-by-step explanation:
Together they have $58.22.
We know one of them has $13.72, so if we add that to (m) we should get $58.22.
Bill is playing a game of chance with the following payout. 30% of the time you will lose 20 dollars, 20% of the time you will lose 40 dollars. 10% of the time you will win 50 dollars, 40% of the time you will win 5 dollars. Find the expected value of the event and explain if Bill should play this game based on the mathematical expectation.
please helpppop asappppp and show work so I understand please
Anybody know this??? please help
Answer:
The expected value of playing the game is -$7.
Bill should not play this game.
Step-by-step explanation:
The probability distribution of gain and loss is as follows:
X P (X)
-$20 0.30
-$40 0.20
$50 0.10
$5 0.40
Total 1.00
The expected value of a probability distribution is given by:
[tex]E(X)=\sum {X\times P(X)}[/tex]
Compute the expected value of playing the game of chance as follows:
[tex]E(X)=\sum {X\times P(X)}[/tex]
[tex]=(-\$20\times 0.30)+(-\$40\times 0.20)+(\$50\times 0.10)+($5\times 0.40)\\\\=-\$6-\$8+\$5+\$2\\\\=-\$7[/tex]
The expected value of playing the game is -$7.
The expected value of the game suggests that Bill will incur a loss of $7 if he plays.
So, it is safe not to play the game.
What is the simplified expression for the expression below
Which of these polygons is not formed by the cross-section created when a plane intersects a cube? Select all that are possible.
square
circle
pentagon
octagon
triangle
rectangle
Answer:
Circle
Octagon
Step-by-step explanation:
There are no curves in a cube to make a circular cross section, and there aren't enough edges to make an octagon (just visualize)
Answer:
A circle is not possible. Neither is a square or a rectangle.
Step-by-step explanation:
I NEED HELP ASAP!!!!!!!!!!!!!