The expression can be simplified to:
x + y/100
Where x is the month and y the day. This is why it always works.
Why does the trick always work?Let's define the two variables x and y as the month of your birth and the day of your birth respectively.
Now let's write the expression by following the steps, you should get:
((((7*x - 1)*13 + y + 3)*11 - x - y)/10 + 11)/100
Now let's simplify the expression we will get:
((((7*x - 1)*13 + y + 3)*11 - x - y)/10 + 11)/100
(((91x - 13 + y + 3)*11 - x - y)/10 + 11)/100
(((91x - 10 + y)*11 - x - y)/10 + 11)/100
((1001x - 110 + 11y - x - y)/10 + 11)/100
(( 1000x - 110 + 10y)/10 + 11)/100
You already can see what will happen here:
(( 1000x - 110 + 10y)/10 + 11)/100
(100x - 11 + y + 11)/100
(100x + y)/100 = x + y/100
So the expression will do the exact same thing for every values of x and y that you decide to use, it does not depend on your exact date of birthday.
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Use the ALEKS calculator to evaluate each expression.
Round your answers to the nearest thousandth.
Do not round any intermediate computations.
log√7 =
Log 23/6=
Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.
Logarithmic evaluationLog√7 = 1.659Log 23/6 = 0.862It is a rapid increase in the quantity of something over a period of time. Exponential growth can be seen in populations, investments, and other areas.It is characterized by a doubling or tripling of the original amount within a specified period of time.This type of growth is often caused by compounding, where gains from one period are reinvested in the next period, leading to a rapid increase in the overall amount.Exponential growth is often seen in the early stage of a business, when it is experiencing rapid growth due to investments or other factors.However, exponential growth can also lead to rapid decline if not managed properly.This is called logarithmic evaluation, which involves using logarithms to simplify complex expressions.To learn more about logarithmic evaluation refer to:
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interpreting Remainders: An Italian restaurant receives a shipment of 86 veal cutlets. If it takes 3 cutlets to make a dish, how many cutlets will the restaurant have left over after making as many dishes as possible?
Answer:
86/3
Step-by-step explanation:
28.6
If I have 41 red mechanical pencils and each pencil has 3 pieces of lead in it. How many pieces of lead are there in all
Answer: There are 123 pieces in total.
Step-by-step explanation: If you have forty-one pencils, and each has three pieces of lead, you multiple forty-one by three.
Total lead = 41 * 3
Total lead = 123 pieces
If 2x-y=9 and 3x+4y=19, then y=
Answer:
x = 5
y = 1
Step-by-step explanation:
2x - y = 9
3x + 4y = 19
We multiply the first equation by 4
8x - 4y = 36
3x + 4y = 19
11x = 55
x = 5
Now we put 5 in for x and solve for y
2(5) - y = 9
10 - y = 9
-y = -1
y = 1
Let's Check the answer
2(5) - 1 = 9
10 - 1 = 9
9 = 9
So, x = 5 and y = 1 is the correct answer.
A submarine dove to a level of 450 meters below the surface of the ocean. Later it
climbed 270 meters and finally dove 80 meters more. At what depth did it stop?
Answer:
260 Meters Below the Surface
Step-by-step explanation:
"Dove 450 meters" = - 450
"Climbed 270 meters" = +270
"Dove 80 meters more" = - 80
-450+270-80
-180-80
-180+(-80)
-260 or 260 Meters Below the Surface
For the function f(x)=x+4−−−−−√
, the average rate of change to the nearest hundredth over the interval 2 ≤ x ≤ 6 is
The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.
To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.
The change in the function between x = 2 and x = 6 is:
f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6
The change in the input variable between x = 2 and x = 6 is:
6 - 2 = 4
So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:
(√10 - √6) / 4
To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:
(√10 - √6) / 4 ≈ 0.29
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Solve the system by using any method. If a system does not have one unique solution, state whether the system is inconsistent or whether the equations are
dependent.
2x+y=6
x+1/2y=3
The simultaneous equations 2x + y = 6 and x + y/2 = 3 are dependent because both equations are the same and they have an infinite number of solutions that satisfy both equations.
What are dependent simultaneous equations?A system of simultaneous equations is called dependent if it has infinitely many solutions. In other words, one equation in the system can be obtained by adding or subtracting multiples of the other equation(s), or if all the equations represent the same line or plane in higher dimension.
We can write the equations as:
2x + y = 6...(1)
x + y/2 = 3...(2)
equation (2) can be rewritten as follows:
(2x + y)/2 = 3 {simplifying the left hand side to a single denominator}
2x + y = 2 × 3 {cross multiplication}
2x + y = 6
We can observe that equations (1) and (2) are the same. Any value of x and y that satisfies the equation 2x + y = 6 will also satisfy the second equation, x + y/2 = 3.
In conclusion, the simultaneous equations 2x + y = 6 and x + y/2 = 3 are dependent because both equations are the same, hence they have an infinite number of solutions that satisfy both equations.
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solve
16x+8>=12x+20
A. x<=3
B. x<=7
C. x>=3
D. x>=7
Answer: C
Step-by-step explanation:
\(16x+8 \geq 12x+20\\ \\ 4x+8 \geq 20\\ \\ 4x \geq 12\\ \\ \boxed{x \geq 3}\)
Solve rational equations 5/6+3/b=1/3
HURRY TIMED!!!!
Find the equation of the graphed line.
On a coordinate plane, a line goes through (0, negative 6) and (6, 0).
a.
y = negative x minus 6
c.
y = x minus 6
b.
y = x + 6
d.
y = negative x + 6
Answer:
y = x -6
Step-by-step explanation:
First find the slope
m= ( y2-y1)/(x2-x1)
= (0- -6)/(6-0)
=( 0+6)/(6-0)
= 6/6
= 1
The slope is 1 and the y intercept is -6
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = x -6
Answer:
the answer is C
Step-by-step explanation:
y = x -6
Select the correct answer. Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true? A. Shape 1 and shape 2 are not congruent. B. A translation will prove that shape 2 is congruent to shape 1. C. A rotation and a translation will prove that shape 2 is congruent to shape 1. D. A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.
Answer:
Since I cant say which answer due to no graph, I'll tell you How to do so.
Step-by-step explanation:
if it is A, then the there is at least one angle or line length that is not the same. To find the area of a grided shape, use the traingle theorm of a^2+b^2=c^2.
if it is B, that meants moving the shape to the other will result in a perfect fit. Be sure to find if all side lengths are the same as that means that the shape IS congrouent, as equal side length means equal angles. However, it will not be this choice if the shape is mirrored to the other
A rotation and tranlastion means it is flipped either upside down or up and moved to the shape.
D, a reflection, which means its the opposite. Like a mirrored shape. Then you move it.
Question: 18 of 19
Lesson 18
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle 0 = 50°
Choice 'A' OV
Choice 'B'O V
Choice 'C'OV
Choice 'D' OV
(38.3, 32.1)
(33.8, 31.2)
(32.1, 38.3)
(31.2, 33.8)
4
The component form of the following vectors is Option A. V = (38.3, 32.1).
To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.
The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.
In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.
The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).
Let's calculate the components:
x = 50 * cos(50°) ≈ 38.3
y = 50 * sin(50°) ≈ 32.1
Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).
Therefore, the correct answer is A. V = (38.3, 32.1).
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The question is incomplete. Find the full content below:
Find the component form of the following vectors. Round your answers to the tenth.
Magnitude of v = 50, direction angle θ = 50°
A. V = (38.3, 32.1)
B. V = (33.8, 31.2)
C. V = (32.1, 38.3)
D. V = (31.2, 33.8)
The woods behind Wendy’s house were 8 miles wide and have an area of 24 mi.² what is the length of the woods 
Answer:
48 miles
Step-by-step explanation:
i think thats it.
Answer: 4.
Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.
Hope this helps!
6.334*104=6.334*10<sup>4</sup>=
Answer:
what's that
Step-by-step explanation:
Time Warner Cable charges $30 per hour and a trip fee of $55 for each service call.
Which of the following equations can be used to model this situation?
Answer:
y=30x+55
Step-by-step explanation:
$55 is constant because for each trip he will take $55 dollars so that gives you your y-intercept and m=$30 and x is the amount of hours worked. every time x increases he will be making more money
Mr. Cooper purchased a night stand
at the furniture store. It came in a
rectangular-prism-shaped box. The
volume of the box is 31,050 cubic
inches. The box is 36 inches deep and
284 inches wide. What is the height of
the box?
Answer:
V = lwh
31050 = 36(28)w
31050 = 1008w
w = 31"
Step-by-step explanation:
This is ez lol
Can you help me with this equation?
The linear function that relates y to x is given as follows:
y = -0.5x + 57.
The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.
How to define a linear function?
The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.From the table, when x = 0, y = 57, hence the intercept b is given as follows:
b = 57.
When x increases by 10, y decays by 5, hence the slope m is given as follows:
m = -5/10
m = -0.5.
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Evaluating Linear Piecewise Functions
Consider the function:
f(x) =
7/2+ 2x, x≤-1
-5+3x/2, -1
1/4x, x≥3
< -5_-4_-3_-2_-1_0_1_2_3_4_5 >
What are these values?
f(-3) =[-19/2]ᵒʳ[-5/2]ᵒʳ[-3/4]ᵒʳ[5/2]
f(-1) =[-13/2]ᵒʳ[-3/2]ᵒʳ[-1/4]ᵒʳ[-3/2]
f(3) =[-7/4]ᵒʳ[-1/2]ᵒʳ[3/4]ᵒʳ[19/2]
PLEASE HELP ME ON A SERIOUS TIME CRUNCH!!
Sheila buys two concert tickets from her friend.
She pays $90 for the two tickets. She looks at the
tickets and sees that each ticket has a face value
of $52.50.
a. How much of a markdown did her friend give
Sheila? Explain how you know.
B. What was the perecent markdown, rounded to the nearst whole percent?
Answer:
15 because the 2 tickets were originally 105
Step-by-step explanation:
52.50 x 2 = 105 because 52 + 52 = 104 and .50 + .50 = 1 so 104 + 1 = 105
ASAP Please!
Enter the amplitude of the function. f(x)=5cosx
Amplitude of f(x)=5cosx
= 5
what's an amplitude example?The amplitude of a periodic variable is a measure of its change in a single period. The amplitude of a non-periodic signal is its magnitude as compared with a reference value. there are numerous definitions of amplitude, which can be all functions of the magnitude of the differences between the variable's extreme values.
It refers to most displacement from the equilibrium that an object in periodic motion show. as an example, a pendulum swings through its equilibrium point (straight down), and then swings to a maximum distance away from the center.
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A scoutmaster is preparing his troop for their annual fishing expedition. He surveys each of his scouts to find out how many fishing poles they own. What is the mode of the number of poles owned?
The mode is the value that appears most often in a set of data values.
So going through the set of data, we will see that the number that appears the most is 7 (seven scouts) and it is associated with 0 fishing poles owned.
So the mode of the number of poles owned is 0.
BEUH PLEASE ANWSERRDDD THIS
Answer:
Circumference
Step-by-step explanation:
Answer:
circumference
Step-by-step explanation:
What the meaning of statement this?
This statement essentially establishes a relationship between the sets X, Y, and z, stating that there exists a subset Y for each element x in X such that the elements in Y are present in some subset z of X.
The given statement is a symbolic representation of a logical proposition involving quantifiers and logical connectives. Let's break down its meaning:
∀ X ∃ Y ∀u(u ∈ Y ↔ ∃z(z ∈ X ∧ u ∈ z))
The symbol ∀ (universal quantifier) indicates that the statement applies to all elements in the set X.
The symbol ∃ (existential quantifier) indicates that there exists at least one element in the set Y.
The statement can be interpreted as follows:
"For all elements x in the set X, there exists a set Y such that for every element u in Y, u is an element of Y if and only if there exists a set z in X such that u is an element of z."
In simpler terms, the statement asserts that for every element x in the set X, there is a set Y that contains elements u if and only if there exists a set z in X that also contains u.
It is important to note that the precise meaning and implications of this statement may depend on the context and interpretation of the sets X, Y, and their elements.
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I need some help answering this question right here
The given expression can be as 2 + i as a complex number standard form.
Complex numbers:The combination of a number and an imaginary number is a complex number. Complex numbers are symbolized by the symbol z and have the form a + ib. a and b are said to be real numbers.
The imaginary portion of the complex number can be represented by the letter i called the iota.
Here i² = -1
Here we have
\(\frac{4 +\sqrt{16 - 4(5)}}{2}\)
The above expression can be simplified as follows
=> \(\frac{4 +\sqrt{16 - 20}}{2}\)
=> \(\frac{4 +\sqrt{- 4}}{2}\)
As we know, \(i^{2} = -1\)
=> \(\frac{4 +\sqrt{i^{2} (2)^{2} }}{2}\)
=> \(\frac{4+2i}{2}\)
=> \(\frac{2(2+i)}{2}\)
= 2 + i
Therefore,
The given expression can be as 2 + i as a complex number standard form.
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Use any method to divide
Answer:
Step-by-step explanation:
-2/3 needs to be multiplied by the reciprocal of 1/2
(-2/3)*(2/1)=-4/3= -1 1/3
What is the area of
the segment? Express
the answer in terms
of pi.
The area of the segment is 9( π-2) units²
What is area of segment?The area of a figure is the number of unit squares that cover the surface of a closed figure.
A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.
Area of segment = area of sector - area of triangle
area of sector = 90/360 × πr²
= 1/4 × π × 36
= 9π
area of triangle = 1/2bh
= 1/2 × 6²
= 18
area of segment = 9π -18
= 9( π -2) units²
therefore the area of the segment is 9(π-2) units²
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How long did Lizzie practice on Thursday and Friday altogether?
W
P
♫
D
♫
Lizzie's Drum Practice
Monday
D
♫
D
KI
C
P
J
♫
♫
Tuesday Wednesday Thursday
= 5 minutes
♫
♫
♫
DONE
♫
Friday
7
4
1
4
minu
8
5
2
0
Answer:
Lizzie practiced for 7 + 4 + 14 + 20 = 45 minutes on Thursday and Friday altogether.
Step-by-step explanation:
3. The graph at the right shows
Lanna's total distance in miles
for each day she is training for a marathon. What is her distance on
day 10?
A.21 miles C.30 miles
B. 27 miles D.33 miles
Answer:
30 miles
Step-by-step explanation:
there is three miles per day so u count by 3 up to ten days and you’ll get 30 (10,30) option c
I need help with my math homework --WARNING--English is not my first language, sorry if I make spelling mistakes in my questions :(
Answer:
1. x = 4.5
2. x = 0.75 or x = -4.5
Explanation:
The quadratic formula says the solutions of the equation with the form ax² + bx + c are:
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)So, if the equation is 4x² - 36x + 81, the value of each constant is
a = 4
b = -36
c = 81
Then, the solutions are
\(\begin{gathered} x=\frac{-(-36)\pm\sqrt[]{(-36)^2-4(4)(81)}}{2(4)} \\ x=\frac{36\pm\sqrt[]{1296-1296}}{8} \\ x=\frac{36\pm\sqrt[]{0}}{8}=\frac{36}{8}=4.5 \end{gathered}\)It means that this equation has a unique solution x = 4.5
In the same way, if we have the equation 8x² + 30x = 27, we first need to subtract 27 from both sides, so:
8x² + 30x - 27 = 27 - 27
8x² + 30x - 27 = 0
Now, we can identify the values of a, b, and c.
a = 8
b = 30
c = -27
Therefore, the solutions of the equation are
\(\begin{gathered} x=\frac{-30\pm\sqrt[]{(30^2)-4(8)(-27)}}{2(8)} \\ x=\frac{-30\pm\sqrt[]{900+864}_{}}{16} \\ x=\frac{-30\pm\sqrt[]{1764}}{16} \\ x=\frac{-30\pm42}{16} \\ \text{ The solutions are} \\ x=\frac{-30+42}{16}=\frac{12}{16}=0.75 \\ or \\ x=\frac{-30-42}{16}=\frac{-72}{16}=-4.5 \end{gathered}\)So, the solutions for each quadratic equation are:
1. x = 4.5
2. x = 0.75 or x = -4.5
PLEASE HELP ME I AM DOING A TEST!!!
Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie’s cube has a side length of 2image centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction.
Answer:
1/8 cm^3
Step-by-step explanation:
If s=1/2 and V=s^3, then V=1/2^3=8. Therefore the volume of the cube is 1/8cm^3.