Answer:
Step-by-step explanation:
To graph the functions y = sin^(-1) x and y = π - sin^(-1) x on the same coordinate-axis system, we can use the properties of the inverse sine function and the unit circle.
The inverse sine function, denoted as sin^(-1) x or arcsin x, is the inverse of the sine function. This means that if we input a value x into the inverse sine function, it will output the angle θ in radians that satisfies the equation sin θ = x.
The unit circle is a circle with radius 1 centered at the origin of a coordinate plane. The angles in the unit circle are measured in radians. On the unit circle, the x-coordinate of a point is equal to the cosine of the angle formed by the point and the positive x-axis, and the y-coordinate is equal to the sine of the angle.
Given this information, we can graph the functions y = sin^(-1) x and y = π - sin^(-1) x as follows:
For y = sin^(-1) x, we can input values of x into the inverse sine function and plot the resulting values of y on the coordinate plane. Since the range of the inverse sine function is -π/2 ≤ y ≤ π/2, we can start by plotting the points (-1, -π/2), (1, π/2), and (0, 0).
For y = π - sin^(-1) x, we can input values of x into the inverse sine function, subtract the resulting values from π, and plot the resulting values of y on the coordinate plane. Since the range of the inverse sine function is -π/2 ≤ y ≤ π/2, we can start by plotting the points (-1, π/2), (1, -π/2), and (0, π).
On the same coordinate-axis system, the graph of y = sin^(-1) x will be a curve that starts at (-1, -π/2), goes through (0, 0), and ends at (1, π/2). The graph of y = π - sin^(-1) x will be a curve that starts at (-1, π/2), goes through (0, π), and ends at (1, -π/2).
If we connect the points on the two curves, we will see that they intersect at (0, π/2) and (0, -π/2). This means that the two functions are reflections of each other about the x-axis.
the square of a number equals five times that number find number.
A. 0 or 1
B. 0 or 3
C. 0 or 5
D. 0 or 7
Answer:
x²=5x
x=5... probably c
HELP HELP HELP ALSO PLEASE EXPLAIN HOW U GOT THE ANSWER
Answer: There are 38 dogs, i got this by guessing the number and plugging it in
Step-by-step explanation:
19 x 5 = 95
19 x 2 = 38
95 + 38 = 133
What is the slope of the line?
Ay
4
m =
2
-
-
x
-4
-2
2.
4
-2
-4
Answer:
1/4
Step-by-step explanation:
1. To find the slope, you can use the formula \(\frac{rise}{run}\) to find it!
2. Rise means how many units you go up and down from point to point, and run means how far you go left or right from point to point.
3. Given the statement above, the rise would be 1, and the run would be 4.
4. Now, since slope is (rise)/(run), the slope is 1/4 because one divided by four is equal to one fourth.
Question number 13 needs to answered
Final speed after slowing down by 15 miles per hour and reducing the speed by one third is 25 miles per hour.
Let's break down the steps to determine the final speed:
Step 1: Convert the speed from miles per minute to miles per hour.
Since you're driving one and a half miles per minute, we need to convert it to miles per hour. There are 60 minutes in an hour, so we multiply 1.5 by 60 to get 90 miles per hour.
Step 2: Slow down by 15 miles per hour.
Subtract 15 from the initial speed of 90 miles per hour, resulting in 75 miles per hour.
Step 3: Reduce the speed by one third.
To find one third of 75 miles per hour, we divide it by 3, which gives us 25 miles per hour.
Therefore, the final speed after slowing down by 15 miles per hour and reducing the speed by one third is 25 miles per hour.
For more such question on Speed
https://brainly.com/question/553636
#SPJ8
Priya hiked 1 2/3 miles. Diego hiked 1/2 mile. How much farther did Priya hike than Diego?
By taking the difference between the distances, we see that Priya hiked (1 + 1/6) miles more than Diego.
How much farther did Priya hike than Diego?To find this, we just need to take the difference betwee the two distances given.
We know that Priya hiked 1 2/3 miles and Diego hiked 1/2 mile, then the difference is:
D = (1 + 2/3) mi - (1/2) mi
D = (1 + 2/3 - 1/2) mi
D = (1 + 4/6 - 3/6) mi
D = (1 + 1/6) mi
We can see that Priya hiked (1 + 1/6) miles more than Diego.
Learn more about differences at:
https://brainly.com/question/17695139
#SPJ1
The distance farther Priya hike than Diego is 1 1 / 6 miles.
How to find distance travelled?Priya hiked 1 2/3 miles. Diego hiked 1/2 mile. Therefore, let's find how much farther Priya hiked than Diego.
Hence,
Distance hiked by Priya = 1 2 / 3 = 5 / 3 miles
Distance hiked by Diego = 1 / 2 miles
Therefore,
Amount of distance farther Priya hiked than Diego = 5 / 3 - 1 / 2
Amount of distance farther Priya hiked than Diego = 10 - 3 / 6
Amount of distance farther Priya hiked than Diego= 7 / 6 miles
Amount of distance farther Priya hiked than Diego = 1 1 / 6 miles
learn more on miles here: https://brainly.com/question/28404800
#SPJ1
If 7-3(2x-1)=2x+26, then x=
The value of x in 7-3(2x-1)= 2x+26 is -4
What is linear equation?Linear equation is is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line. The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution. For example, the equation x + 3= 0 has only one solution as x = -3.
To find x in 7-3(2x-1)= 2x+26 ,we solve the parentheses first which will give
7- 6x+3= 2x+26
collect the like terms
-6x-2x=26-3-7
-8x= 16
divide both side by -8
-8x/-8= 16/-8
therefore x= -2
learn more about linear equations from
https://brainly.com/question/2030026
#SPJ1
To find the least number that is divisible by 2, 3, 4, 6, and 8, which are the only two factors that you need to use? Explain
Answer:
6, 8
Step-by-step explanation:
2 and 3 are factors of 6. So, if number is divisible by 6, then the same number is divisible by 2 and 3.
Eg: 12 is divisible by 6. So, 2 and 3 will divide 12.
4 and 2 are factors of 8. if number is divisible by 8, then the same number is divisible by 4 and 2.
Eg: 48 is divisible by 8. So, 4 and 2 will divide 48.
So, to find the least number that is divisible by 2, 3, 4, 6 and 8, then the only two factors that we need to use are 6 and 8.
Help me with dis lol Il give brainlest
Answer: well there are 2 zeros in the number on the left so thats why the decimal would be there
Step-by-step explanation:
Answer:
b.
Step-by-step explanation:
You can never divide by a decimal (have the decimal as the divisor)
Aidan and Bella each plan to open a savings account. Aidan starts with $90 and plans to save $20 every month. Bella starts with $15 and plans to save $35 every month.
Aidan and Bella will have the exact same amount of savings in 5 months.
What are simultaneous equations?We know two simultaneous equations have a unique solution when they intersect at a point,
when they are parallel they have no solution and when they are coinciding they have an infinite no. of solutions.
From the given information, Let the number of months be 'm'.
And, The two equations are 90 + 20x and 15 + 35x.
Therefore, The number of months in which they will have the same amount of savings would be,
90 + 20x = 15 + 35x.
75 = 15x.
x = 5.
So, In 5 months they will have the same amount of savings.
Q. Aidan and Bella each plan to open a savings account. Aidan starts with $90 and plans to save $20 every month. Bella starts with $15 and plans to save $35 every month, in which month they will have the same amount of savings?
learn more about savings here :
https://brainly.com/question/10413253
#SPJ1
HELP PLS ASAP!!!
these figures are congruent. What series of transformations moves quadrilateral FGHI onto quadrilateral F’G’H’I’?
Answer:
D
Step-by-step explanation:
It must first translate 1 unit to the left because quadrilateral F'G'H'I is one unit away from to y axis. It can then translate across the y-axis.
Answer:
ITS B!
Step-by-step explanation:
Ape x!
5x+ 6-21=9+3x .Solve for x.
Answer:
x= -3
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
pls give brainliest hope helpful
Need to know what goes in the 4 boxes above, and the last box
Given that Owen moves half the number of boxes moved by Ariana.
So you can put 2 in the left side upper box, and 1 in the left side lower box.
Now, it is mentioned that Owen mobes 12 boxes. So the corresponding number of boxes moved by Arianna is to be obtained.
So you have to put 12 in the right side lower box. And a variable (say 'x') in the right side upper box.
The vaue of 'x' is to be calculated.
Cross multiply the terms,
\(\begin{gathered} 1\cdot x=2\cdot12 \\ x=24 \end{gathered}\)Thus, the value of 'x' is 24.
Therefore, Arianna can move 24 boxes in the time when Owen moves 12 boxes.
If there is 6 A of current through the filament of a lamp, how many coulombs of charge move through the filament in 1.75 s?
In 6A, 10.5 coulomb of charge is moved through the filament in 1.75 seconds.
What is charge?The electrical current that flows across conducting wires is carried by electrons, which are tiny particles. Negatively charged particles are electrons.
Charge is expressed in coulombs, or C.
The charge of an electron is 1.6 x\(10^{-19}\)C.
The connection between current I and charge amount Q
Charged particle flow is what makes up an electric current.
One ampere of current flows when one coulomb of charge passes through a certain place in a circuit once every second.
The magnitude of an electric current affects how quickly charges flow.
I =\(\frac{quantity of charge(Q)}{Time taken (t)}\)
Given: current I= 6A at time t=1.75s,
I = Q / t
Q = I x t
Q = 6 x 1.75
Q = 10.5 coulomb
To know more about coulomb visit: https://brainly.com/question/12498766
#SPJ9
Drag the tiles to the correct boxes to complete the pairs. Match each function to its domain and range.
Matching of the functions domain and range are as follows:
f(x) = 4-4x ;
Domain:{0,1,3,5,6}
Range;{-20,-16,-8,0,4}
f(x) = 5x - 3
Domain:{-2,-1,0,3,4}
Range:{-13,-8,-3,12,4}
f(x) = -10x
Domain:{-4,-2,0,2,4}
Range:{-40,-20,0,20,40}
f(x) = (3/x) + 1.5
Domain:{-3,-2,-1,2,6}
Range:{0.5,0,-1.5,3,2}.
How to find the domain and range of the functions?1) The function f(x) = 4 - 4x
Take Domain:{0,1,3,5,6}
If, we take x=0 and put in the function then we get
f(x)=4-0
f(x)=4
put x=1
f(x) = 4 - 4 =0
put x=3 then we get
f(x)=4-12=--8
put x=5 them we get
f(x)=4-20=-16
put x=6 then we get
f(x)=4-24=-20
Therefore ,range:[-20,-16,-8,0,4}
2) The function f(x)=5x-3
Take domain{-2,-1,0,3,4}
Now, put x=-2 in the function then we get
f(x) = -13
now put x=-1 then we get
f(x)=-5-3=-8
Put x=0 then we get
f(x)=0-3=-3
Put x=3 then we get
f(x)=15-3=12
Put x=4 then we get
f(x)=20-3=17
Therefore , range:{-13,-8,-3,12,17}
3) The function f(x)=-10x
Take domain:{-4,-2,0,2,4}
Put x=-4 in the function then we get
f(x)=40
Put x= -2 then we get
f(x)=20
Put x=0 then we get
f(x)=0
Put x=2 then we get
f(x)=-20
Put x=4 then we get
f(x)=-40
Therefore , range :{-40,-20,0,20,40}
4) The function f(x)= (3/x) + 1.5
Take domain:{-3,-2,-1,2,6}
Put x= -3 in the taken function then we get
f(x)=-1+1.5=0.5
put x=-2 then we get
f(x)= -1.5+1.5=0
Put x=-1 then we get
f(x)=-3+1.5=-1.5
Put x= 2 then we get
f(x)=1.5+1.5=3
Put x= 6 then we get
f(x)=0.5+1.5=2
Therefore, range : {0.5,0,-1.5,3,2}.
Read more about Domain and Range at: https://brainly.com/question/10197594
#SPJ1
7(C - 18)= -98
Help ASAP
Answer:
\(C=4\)
Step-by-step explanation:
\(7(c-18)=-98\\7c \frac{-126}{+126}=\frac{-98}{+126} \\\frac{7c}{7}=\frac{28}{7}\\c=4\)
What is the relationship among angle BCD and angle A, and angle B in the figure below?
Answer:
relationship
the exterior angle of triangle is equal to the sum of its opposite angle
<A+<B=<BÇD
Function
�
gg can be thought of as a scaled version of
�
(
�
)
=
�
2
f(x)=x
2
f, left parenthesis, x, right parenthesis, equals, x, squared.
A parabola labeled f represents the equation y equals x squared. A parabola labeled g passes through the point negative 1, 4, through the origin, and through the point 1, 4.
Write the equation for
�
(
�
)
g(x)g, left parenthesis, x, right parenthesis.
The equation for g (x) is,
⇒ g(x) = x² -3
Since, The function is,
⇒ f (x) = x²
when x = 0, f(x) = 0
hence it has vertex at (0,0)
Since, g(x) is shifter version of f(x) and has vertex at (-1, 4),
Then, g(x) must be shifted along y axis.
So, We get;
g(x)= x²+c
when x = - 1, g(x)= 4
4 = (-1)² + c
4 = 1 + c
c = 3
Thus, The equation for g (x) is,
g(x) = x² -3
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ1
Factor f(x)= 2x^4 -12x^3 +6x +20x
Answer:
f(x)= 2x(x^3-6x^2+13)
The graph of a rational function f is shown below.
Assume that all asymptotes and intercepts are shown and that the graph has no "holes".
Use the graph to complete the following.
Answer:
what is 378÷2=
Step-by-step explanation:
and can you explain it for a 4th grader
The owner of a car wash wants to see if the arrival rate of cars follows a Poisson distribution. In order to test the assumption of a Poisson distribution, a random sample of 150 ten-minute intervals was taken. You are given the following observed frequencies: Number of Cars Arriving in a 10-Minute Interval Frequency 0 3 1 10 2 15 3 23 4 30 5 24 6 20 7 13 8 8 9 or more 4 150 Calculate mean and use Poisson probabilities. The expected frequency of exactly 3 cars arriving in a 10-minute interval is a. .1533. b. 26.145. c. .1743. d. 23.
Answer: c. 0.1743
Step-by-step explanation: Poisson Probability or Poisson Distribution is a discrete distribution that models the number of events ocurring in a given period of time.
The mean, or expected value, of the observed frequencies is:
E(X) = ∑xP(x)
E(X) = 0*3/150 + 1*(10/150) + 2*(15/150) + 3*(23/150) + 4*(30/150) + 5*(24/150) + 6*(20/150) + 7*(13/150) + 8*(8/150) + 9*(4/150)
E(X) = 4.399
The Poisson distribution is calculated by:
P(X = k) = \(\frac{mean^{k}.e^{-mean}}{k!}\)
The question asks for the expected frequency of exactly 3 cars:
P(X = 3) = \(\frac{4.399^{3}.e^{-4.399}}{3!}\)
P(X = 3) = \(\frac{4.399^{3}.e^{-4.399}}{3.2.1}\)
P(X = 3) = 0.1743
The expected frequency of exactly 3 cars is 0.1743
What is the magnitude of -3+ 4i?
Answer:
5
Step-by-step explanation:
d² = (-3)² + 4²
d² = 9 + 16
d² = 25
d = 5
Answer:
The magnitude is 5.
Step-by-step explanation:
(I’m going to be using r to represent the magnitude)
r^2= (-3)^2+4^2
r^2= 9+16
r^2= 25
r = 5
4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)
The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)
For the first question:
The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.
The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.
Now, let's analyze the answer options:
A. A line passes through the point (0, 0) and continues through the point (3, 12).
This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.
B. A line passes through the point (0, 0) and continues through the point (2, 8).
This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).
C. A line passes through the point (0, 0) and continues through the point (6, 24).
This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.
D. A line passes through the point (0, 0) and continues through the point (12, 3).
This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).
Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.
For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?
for more such question on point visit
https://brainly.com/question/1859113
#SPJ8
Find the tangent of the smaller acute angle in a right triangle with side lengths 5, 12, and 13.
Write your answer as a fraction.
The tangent of the smaller acute angle is ____?_______
The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, A right triangle with side lengths 5, 12, and 13.
tanФ = 5/12.
tanФ = 0.42.
Ф = tan⁻¹(0.42).
Ф = 22.8°.
learn more about trig ratios here :
https://brainly.com/question/14977354
#SPJ1
In which number is the digit 4 ten times larger than in the number 384?
O 842
O 954
O 1,469
O 4,216
The number 842 is the number whose digit 4 is ten times larger than in the number 384
Finding the numberTo solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.
In the number 384, the digit 4 is in the ones place, which means that its value is 4.
To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.
The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.
Therefore, the correct answer is 842.
Read more about place value at
https://brainly.com/question/25137147
#SPJ1
Buying rental property is an investment option that carries a higher risk than some other options. However, the returns can be good. Assume you have purchased a single-
family home that you intend to rent for $850 per month. You will have the following expenses:
Monthly mortgage $390
Monthly insurance $70
Semi annual property taxes $380
Repairs (yearly estimate) $500
Monthly lawn care or snow removal $125
The total yearly expenses for the rental property will be_____.00.
Based on the expenses involved in running the property, and the rental amount, the return on the investment would be 18.82%.
What is the return on investment?The ratio of net income to investment is known as return on investment (ROI). A high return on investment (ROI) indicates that the investment's benefits outweigh its cost.
ROI is a performance indicator that is used to assess an investment's effectiveness or to compare the efficiencies of several distinct investments.
First, find the amount earned per year:
= 850 x 12
= $10,200
The yearly expenses would be:
= (390 x 12) + (70 x 12) + (380 x 2) + 500 + (125 x 12)
= 4,680 + 840+ 760+ 500 + 1500
= $8280
The annual ROI is:
ROI= (10,200 - 8280) / 10,200 x 100%
ROI = 18.82%
Therefore the expenses involved in running the property, and the rental amount, the return on the investment would be 18.82%.
Find out more on Return on Investment at brainly.com/question/11913993.
#SPJ1
from a population of 600 elements, a sample of 256 elements is selected. it is known that the variance of the population is 1,024. the standard error of the mean is approximately
In a population of 600 elements, if a sample of 256 elements is selected and the variance of the population is 1,024, the he standard error of the mean is:
approximately 4.
The standard error of the mean is approximately equal to the standard deviation of the population divided by the square root of the sample size.
In this case, the standard deviation of the population is equal to the square root of the variance, which is equal to:
sqrt(1024) = 32.Therefore, the standard error of the mean would be equal to 32 / sqrt(256) = approximately 4.
The standard error of the mean is a measure of the variability of the mean of a sample. It gives us an estimate of how much the mean of a sample would vary from the true population mean if we were to take many samples from the same population.
The standard error of the mean is equal to the standard deviation of the population divided by the square root of the sample size.
The smaller the sample size, the larger the standard error of the mean. This makes sense because the mean of a smaller sample is less likely to be representative of the true population mean.
Learn more about standard error:
brainly.com/question/13179711
#SPJ4
If we divide 2 and 6 by 2 what is our new simplified ratio?
Answer:
Step-by-step explanation:
Help help please please
Answer:
7383:uidiebb!!-7juuiiighwb. uwiskak
The three lines represent the number of hot dogs eaten by three contestants at a hot dog eating competition.
Which contestant was eating at the slowest rate?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Contestant \blueD{J}Jstart color #11accd, J, end color #11accd
(Choice B)
B
Contestant \greenD{K}Kstart color #1fab54, K, end color #1fab54
(Choice C)
C
Answer:
Contestant k
Step-by-step explanation:
I did this on Khan Academy
Answer:b
Step-by-step explanation:
In the making of ball bearings, diameters vary from one bearing to the next because of minor variations in the
manufacturing process. The diameter of the ball bearings varies according to a distribution that is approximately Normal
with mean 11.5 mm and standard deviation 0.05 mm. Two ball bearings are randomly selected. Find the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm.
On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
he diameter of the ball bearings varies according to a distribution that is approximately Normal
mean 11.5 mm and standard deviation 0.05 mm
the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm
Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1