Answer: asically plot down each from the least
Step-by-step explanation:
state whether the following statement is true or false: if sin x = 1/2 ; then sin 2 x = 1
Answer:
FalseStep-by-step explanation:
sin x = 1/2 ⇒ x = 30°sin 2x = 1 ⇒ 2x = 90° ⇒ x = 45°The answer is false as 30° ≠ 45°
\(\\ \sf\longmapsto sinx=\dfrac{1}{2}\)
\(\\ \sf\longmapsto sinx=sin30\)
\(\\ \sf\longmapsto x=30\)
Now
\(\\ \sf\longmapsto sin2x=1\)
\(\\ \sf\longmapsto sin2x=sin90\)
\(\\ \sf\longmapsto 2x=90\)
\(\\ \sf\longmapsto x=\dfrac{90}{2}\)
\(\\ \sf\longmapsto x=45\)
Hence its false
A figure is translated 6 units to the left. How will the coordinates change?
The x-coordinates will decrease by 6.
The y-coordinates will increase by 6.
The x-coordinates will increase by 6.
The y-coordinates will decrease by 6.
Answer:
The x-coordinates will decrease by 6.
Step-by-step explanation:
When looking at a graph, the left side has lower numbers than the right side on the x-axis. If you are moving something to the left you are decreasing. Also it can't be on the y-axis becuase the y-axis means that you are increasing or virtically.
Answer: The x-coordinates will decrease by 6.
Step-by-step explanation: Had a test last week, and got it correct, trust me. :)
Who is correct? Fred or Felicity?
Answer: Felicity
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
I hope this helps, and enjoy the rest of your day!
11. -2(b + 5) = -6
Please help
How many scores does the line plot represent
Un diagrama de sectores se puede utilizar para todo tipo de variables, pero se usa frecuentemente para las variables cualitativas.
Los datos se representan en un círculo, de modo que el ángulo de cada sector es proporcional a la frecuencia absoluta correspondiente.
El diagrama circular se construye con la ayuda de un transportador de ángulos.
Ejemplo
En una clase de 30 alumnos, 12 juegan a baloncesto, 3 practican la natación, 4 juegan al fútbol y el resto no practica ningún deporte.
There is a line that includes the point (9,1) and has a slope of -1/6. What is its equation in point-slope form?
It's equation in point-slope from is -1/6x+5/2.
What is equation?An equation is a formula that is express the equality of two equation.
Based on the given condition the formula
M= -1/6
Substitute {m -1/6
{ X= 9
{Y = 1
(Into y= mx+b)
1=-1/6×9+b
Reduce the expression into the Lowest term
1=-1/2×3+b
Write as a single fraction
1=-3/2+b
Rearrange variables to the left side of the equation.
-b= -3/2-1
Now we have to find the denominator and write the numerators above common denominator
-b=-3-2/2
Calculate the sum or difference
-b=-5/2
b=5/2
Substitute {m=-1/6 b=5/2 into y mx+b
Y=-1/6x+5/2
Rewrite the equation of the line
Y= -1/6x+5/2 in point-slope
Y-1 = -x-9/6
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Is the vertical component of velocity ever zero? If so, where?
The vertical component of velocity can be zero at specific points in the motion of an object.
What is Velocity?
Velocity is a vector quantity that describes the rate of change of an object's position in space over time. It is defined as the displacement of an object divided by the time interval during which the displacement occurred.
The vertical component of velocity can be zero at specific points in the motion of an object. This occurs when the object reaches the highest point in its vertical motion and begins to fall back down. At this point, the vertical component of velocity changes direction from upward to downward, and its magnitude becomes zero. This moment is known as the "instant of maximum height" or "instant of maximum altitude." Beyond this point, the vertical component of velocity becomes negative, indicating that the object is moving downward.
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Line segment a has endpoints (2, 4) and (3,6). Line segment b has endpoints (6,7) and (11,17). Are segments a and b parallel? Explain.
Yes Line segment a has a slope of 2, which is the same as the slope of line segment
Yes. Line segment a has a slope of 2. and line segment b has a slope of 1.
No. Line segment a has a slope of 2, which is the same as the slope of line segment 6.
No Line segment a has a slope of 2, and line segment b has a slope of 1.
Answer:
Yes. Line segment a has a slope of 2, which is the same as the slope of line segment b.
Step-by-step explanation:
Pls help Evaluate (7-3) = 2
Answer:
2
Step-by-step explanation:
subtract the. divide it once
Answer: 4 = 2
Step-by-step explanation:
1. (7-3) = 4
2. 4=2
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 10 to 14.5 on the number line. A line in the box is at 12.5. The lines outside the box end at 5 and 20. The graph is titled Fast Chicken.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru is able to estimate their wait time more consistently, and why?
Burger Quick, because it has a smaller IQR
Burger Quick, because it has a smaller range
Fast Chicken, because it has a smaller IQR
Fast Chicken, because it has a smaller range
From the given question we cannot conclude that Burger Quick has a smaller range based on the given information.
Explain Range?Range refers to the set of potential target value, and if we have a graph, then the range is the collection of all feasible y-values on the graph.
Burger Quick is able to estimate their wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data, and a smaller IQR indicates that the data is more tightly clustered around the median. In this case, Burger Quick has an IQR of 14.5 (from 9.5 to 24), while Fast Chicken has an IQR of 4.5 (from 10 to 14.5). This means that the wait times reported by Burger Quick are more consistent and less variable than those reported by Fast Chicken.
The range is a measure of the total spread of the data, and while a smaller range can indicate less variability, it doesn't necessarily mean that the data is more consistent in the middle. Therefore, we cannot conclude that Burger Quick has a smaller range based on the given information.
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-30 = 3 (w + 6) + 5w solve for w and simplify your answer as much as possible
Answer: w = -6
Step-by-step explanation:
-30 = 3(w + 6) + 5w
-30 = 3w + 18 + 5w
-30 = 8w + 18
-48 = 8w
w = -6
Hope this helps
12. Answer the questions to compare the spreads:
a) What is the better measure of spread for comparing the box plots? Why?
b) Fill in the blanks.
The interquartile range (IQR) of Hill Town is
City is. floors.
c) (Hill Town / River City) has building heights that are more spread out.
floors, and the interquartile range (IQR) of River
Can you please show your work
If the data is expectedly normally distributed, then adopting the standard deviation could be considered a reasonable way of calculating spread in order to review box plots.
How to explain the boxplotWhen comparing box plots, which measure of spread is the better option ultimately relies upon the particular characteristics of the data being studied and the research question targeted.
The visualization presented by a box plot grants an indicative summary of the information’s distribution and dispersal, displaying the median, quartiles, as well as absolute minimum and maximum values. Nevertheless, it is possible for two similar box lengths to have mismatched spreads or outliers.
If the data is expectedly normally distributed, then adopting the standard deviation could be considered a reasonable way of calculating spread in order to review box plots. On the other hand, if the data does not conform to normalcy or hosts outliers, then some other ways of measuring spread may be more pertinent such as interquartile range (IQR) or the range.
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Can a/the variable in a algebraic expression be a base?
Answer:
yes
Step-by-step explanation:
yes
yes
yes
yes
yeyed
yes
the electricity goes out in a house the temperature in the house changes by -8 F in 4 hours on average, by how many degrees is the temperature changing per hour
Find three positive consecutive intregers such that the product of the first and third intreger is 17 more than 3 times the second intreger
The three positive consecutive integers are 5, 6, and 7 where the product of the first and third integer is 17 more than 3 times the second integer.
Let's represent the three consecutive integers as n, n+1, and n+2.
According to the given condition, the product of the first and third integer is 17 more than 3 times the second integer. Mathematically, we can express this as:
n * (n+2) = 3(n+1) + 17
Expanding and simplifying the equation:
\(n^{2}\) + 2n = 3n + 3 + 17
\(n^{2}\) + 2n = 3n + 20
\(n^{2}\) - n - 20 = 0
Now we can solve this quadratic equation to find the value of n. Factoring the equation, we have: (n - 5)(n + 4) = 0
Setting each factor equal to zero: n - 5 = 0 or n + 4 = 0
Solving for n in each case: n = 5 or n = -4
Since we need to find three positive consecutive integers, we discard the solution n = -4. Thus, the value of n is 5.
Therefore, the three positive consecutive integers are: 5, 6, and 7.
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Graph of.... 3 3=0 Y axis Solve the equation oc²³²= 2xx - 3=0 graphically x-20-3=0 Let you² - 2c-3 when y=0 you can find oc OC -2-1 oc² 1 4 4 2244 O O O Scale x axis -3-3-3-3 1 2 345 T 4 9 16 25 -2 -4 -6 -8 -10 -3-3-3-3-3 5/01-310-3 10 15/12
The solution to the equation does not exist
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
2x - 3 = 0
2x - 3 = 3
Also from the question, we understand that the graph is given as
3 = 0
The above equation is false, and cannot be represented on a graph
This is so because 0 and 3 do not have the same value
Similarly, we have 2x - 3 = 0 and 2x - 3 = 3
By substitution, the equations becomes
0 = 3
Hence, the equation has no solution
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Complete question
Graph of 3=0
Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically
find the sum of all three digits natural number which are divisible by 4
Answer:
is there any answer choice
Step-by-step explanation:
What is the yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons if this bond is currently trading for a price of $884?
5.02%
6.23%
6.82%
12.46%
G
5.20%
The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct
Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.
The formula for calculating YTM is as follows:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
Where:
C = Interest payment
F = Face value
P = Market price
n = Number of coupon payments
Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.
First, let's calculate the semi-annual coupon payment:
Semi-annual coupon rate = 5.2% / 2 = 2.6%
Face value = $1000
Market price = $884
Number of years remaining until maturity = 10 years
Number of semi-annual coupon payments = 2 x 10 = 20
Semi-annual coupon payment = Semi-annual coupon rate x Face value
Semi-annual coupon payment = 2.6% x $1000 = $26
Now, we can calculate the yield to maturity using the formula:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100
YTM = 6.23%
Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.
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Any answers ??? I can’t do it
The missing value that completes the frequency table is 100
What is a Frequency Table?A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample.
How to solve:
From the graph given,
The battery life(hours) from x = 15 to x= 20 has a frequency of 130
The battery life(hours) from x= 28 to x= 30 has a frequency of 100
It can be inferred that from the battery life of the different models, the missing value is 100 and when you crosscheck the data, you would find this is correct and accurate.
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a) Draw the graph of y = 4x - 1
on the grid.
In
40
8
b) Use the graph to estimate the
value of x when y = 1
6
Straight Line Graphs
View One Minute Version
Overview
Answer:
a) linked a screenshot of the graph.
b) when y=1 x=.5
Step-by-step explanation:
4 is the slope, which makes the graph angle different. Starting at the origin (0,0) if you go over 1 and up 4 that is how you can draw the slope on a graph.
-1 makes the line go to the right 1 time so instead of the graph being on the origin (0,0) it will be placed on the coordinate points of (1,0)
To find the x value. Find 1 on the y-axis of the line graph. Go to the right to find where the line intersects. After you find that go straight down to find the x-value (0.5)
Mrs. cho wrote the following problem on the board. problem: startfraction 1 over x squared endfraction minus startfraction 2 over y endfraction divided by y minus 2 x squared step 1: startfraction y over x squared y endfraction minust startfraction 2 x squared over x squared y endfraction divided by y minus 2 x squared step 2: startfraction y minus 2 x squared over x squared y endfraction divided by startfraction y minus 2 x squared over 1 endfraction step 3: startfraction y minus 2 x squared over x squared y endfraction times startfraction 1 over y minus 2 x squared endfraction what should mrs. cho do next?
a. find a common denominator for the two fractions.
b. divide the numerator and denominator of the first fraction by x2 and y.
c. multiply the numerators, multiply the denominators, and then simplify.
d. multiply the first fraction by the reciprocal of the second fraction.
The option c is correct. The next step she will do multiply the numerator and denominators and then simplify.Then she will solve all equation and find result.
what is fractional equation?An equation which has an unknown in the denominator of one or more terms.They often have variables in the numerator as well.since fractions can be in the ratios.We can recognize fraction by slash that is written between numbers and variables.
what is expression?An expression is a combination of symbols that are formed in accordance with dependent rule.In math, expression consist of at least two numbers or variables and at least one arithmetic operation.it is possible to multiply,divide,subtract and add.
Now we solve given problem
1/x^2 - 2/y divide y-2x^2
step 1; y/x^2y - 2x^2/x^2y divide y-2x^2
step2;y-2x^2/x^2y divide y-2x^2
step 3; y-2x^2/x^2y divide y-2x^2
Next step she would be multiply the numerators and denominators.
so we have
y-2x^2/ (x^2y)(y-2x^2)
since y-2x^2 is common in the numerator and denominator. so it divides itself.thus resulr will be 1/ x^2y
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I need help with this!
Please help!!!!!
Answer:
96
Step-by-step explanation:
100%-60%=40%
40% of x = 64 students (X=Total no. of students)
(40/100)*x=64
x=64*(100/40)
x=160
Missing no. of students=160-64=96
Answer:
96 students
Pls mark me brainliest!
Step-by-step explanation:
If an unknown amount of students is 60% of the students, the 64 of the students must be 40% of the students because 40+60 = 100.
You want to find what 1% equals, so we will divide 64 by 40 because 40% divided by 40 = 1% and whatever you do to one side you do to the other.
64/40 = 1.6
Assuming that the ? number of students that equals 60% will be a whole number, lets go with 1.6.
If 1.6 = 1%, and we want 60%, then multiply both sides by 60, because 1*60 = 60.
1.6*60 = 96
96 students
Solve the expression x = -3
Please help now! Simplify -4x - x.
A. -5x
B. -4x
C. -3x
Answer:
the answer is -5x
Step-by-step explanation:
plz give me 5star
Complete this item. Use the definition of a polygon inscribed in a circle to help you develop a definition for a polygon inscribed in a sphere.
It should be noted that a polygon that's inscribed in a circle has each vertex on the outer figure.
What is a polygon?It should be noted that a polygon simply means a plane figure that has a finite number of straight line segments.
In this case, a polygon that's inscribed in a circle has each vertex on the outer figure. Also regular polygons can be inscribed in a circle.
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The optimal number of responses for a given item on a measure should be between _____ to ensure appropriate sensitivity and flexibility of the measure. A. 1 and 4 B. 10 and 14 C. 15 and 20 D. 5 and 9
D. 5 and 9. This range ensures appropriate sensitivity and flexibility of the measure, allowing for enough response options to capture variation in participants' responses without overwhelming them with too many choices.
The optimal number of responses for a given item on a measure is between 5 and 9. This range ensures the measure's appropriateness in terms of sensitivity and flexibility. Having fewer than five response options might limit the measure's ability to capture the nuances of participants' responses, reducing its sensitivity. On the other hand, having more than nine response options could overwhelm participants and make the measure less flexible and user-friendly.
By offering a moderate number of response options within the 5 to 9 range, the measure allows for sufficient variation in participants' choices without unnecessarily complicating the decision-making process. This range strikes a balance between providing enough granularity to differentiate responses while maintaining the measure's practicality and ease of use. Ultimately, the aim is to gather meaningful and reliable data while ensuring participant engagement and accurate representation of their perspectives.
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Which set of ordered pairs does not represent a function?
o {(8,1),(-1,-1), (7,1),(4,9)}
o {(0,-4), (0, -3), (-3,-1), (5,7)}
o{(-6,-5), (-8,-1), (2,3), (3,-5)}
o{(-5,0), (2,-8), (4,0),(-6,-5)}
Submit Answer
Answer:
b. {(0,-4), (0, -3), (-3,-1), (5,7)}
Step-by-step explanation:
The x value of 0 repeats in (0,-4) and (0, -3)
Work out the length of x
(The diagram is not drawn accurately)
Answer:
x = 7
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 24² = 25²
x² + 576 = 625 ( subtract 576 from both sides )
x² = 49 ( take square root of both sides )
x = \(\sqrt{49}\) = 7
Hey ! there
Answer:
Length of x is 7 cmStep-by-step explanation:
In this question we are provided with a right angle triangle having hypotenuse 25 cm , base 24 cm and perpendicular x . And we are asked to find the length of x .
For finding the length of x we'll use Pythagorean Theorem . Pythagorean Theorem states that sum of square of perpendicular and base is equal to the square of hypotenuse in right angle triangle that is ,
\( \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}\)
Where ,
H refers to HypotenuseP refers to PerpendicularB refers to BaseSOLUTION : -
Here in the triangle ,
Hypotenuse is 25 cmBase is 24 cmPerpendicular is xApplying Pythagorean Theorem :
\( \quad \longmapsto \qquad \: (25) {}^{2} = (x ){}^{2} + (24) {}^{2} \)
On squaring 24 and 24 we get ,
\( \quad \longmapsto \qquad \:625 = (x) {}^{2} + 476\)
Subtracting 576 on both sides :
\( \quad \longmapsto \qquad \:625 - 576 = (x) {}^{2} + \cancel{ 576} - \cancel{576}\)
We get ,
\( \quad \longmapsto \qquad \:49 = (x) {}^{2} \)
Applying square root on both sides :
\( \quad \longmapsto \qquad \: \sqrt{49} = \sqrt{(x) {}^{2} } \)
We get ,
\( \quad \longmapsto \qquad \: \blue{ \underline{\boxed{\frak{7 \: cm = x}}}} \quad \bigstar\)
Henceforth , length of x is ❝ 7 cm ❞ .Verifying : -
We are verifying our answer by substituting all the values of hypotenuse , perpendicular and base in Pythagorean Theorem . So ,
( 25 )² = ( 7 )² + ( 24 )²625 = 49 + 576625 = 625L.H.S = R.H.SHence , Verified .Therefore, our answer is correct .
#Keep LearningAn uncharged sphere consists of two hemispheres: the upper hemisphere (0≤θ<π/2) has a charge per unit volume, rho0, and the lower hemisphere (π/2<θ≤π) has a charge per unit volume, −rhoo. (Consider the two hemispheres infinitely close but not touching so you do not have to consider interface effects.) The radius of each hemisphere is a. a) Find the dipole moment of this arrangement. b) This object may be thought of as a simple dipole, where the total charge of the upper/lower hemisphere is the +/−q of the dipole. Determine the value ' d ' such that the dipole moment would be the same as the hemisphere arrangement. c) Find V(r,θ) very far away from the hemisphere arrangement.
a) The dipole moment of this arrangement is zero.
b) The value 'd' required for the dipole moment to be the same as the hemisphere arrangement is zero.
c) V(r,θ) very far away from the hemisphere arrangement is zero.
Since the upper hemisphere has a charge density of rho0 and the lower hemisphere has a charge density of -rho0, the total charge on each hemisphere cancels out due to their equal magnitudes and opposite signs. Consequently, the net charge of the entire arrangement is zero. As a dipole moment is defined as the product of charge and the displacement vector between the charges, a dipole moment can only exist when there is a non-zero net charge. Therefore, in this case, the dipole moment of the arrangement is zero.In order for the dipole moment to be the same as the hemisphere arrangement, the value of 'd' should be zero. This implies that the positive and negative charges of the dipole are located at the same point, resulting in their cancellation and hence a zero dipole moment.When observing the hemisphere arrangement from a very far distance, the individual charges of the hemispheres appear to merge, and the arrangement behaves like a point charge at the origin. Since the distance from the observer to the arrangement is significantly larger than the size of the arrangement, the electric potential, V(r,θ), at that distance is essentially zero.Learn more about Dipole moment
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A polynomial f and a factor of f are given. Factor f completely.
f(x) = 3x³ + 13x²+2x-8; x + 4
Answer:
(x+4)(3x-2)(x+1)
Step-by-step explanation: