The reflection mapping of the equation p(-2, 4) is [tex]\mathbf{R_{y =1}(P)=(-2,-2)}[/tex]
To solve this question, we must understand what is reflection mapping is all about.
What is reflection mapping?In mathematical concepts, a reflection is indeed a mapping via a Euclidean plane to itself. The isometry of this usually has a hyperplane with designated fixed points that are commonly referred to as axis.
From the given information, we have:
The given points P = (-2, 4)
Required to find:
[tex]\mathbf{R_{y =1}(P)}[/tex]
Hence, the image of P under the axis(point of reflection line) is y = 1
The mapping of this reflection in line is y = kThus,
[tex]\mathbf{(x,y) = (x,2k-y)}[/tex]
[tex]\mathbf{(x,y) = (-2,2(1)-4)}[/tex]
[tex]\mathbf{(-2,4) = (-2,-2)}[/tex]
Therefore, we can conclude that the [tex]\mathbf{R_{y =1}(P)=(-2,-2)}[/tex]
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(a) 0.893467 rounded to the nearest hundred-thousandth is
Answer
0.89347
.................
Please help on this question I don’t understand it f(x)=(x1/5-7)^7 please
Answer:
Step-by-step explanation:
B. maybe i think that but sorry I'm just using mental math
The amount of time it takes Hugo to solve a Rubik's cube is continuous and uniformly distributed between 4 minutes and 11 minutes. What is the probability that it takes Hugo less than 5 minutes given that it takes less than 6 minutes for him to solve a Rubik's cube?
The probability that it takes Hugo less than 5 minutes is 25%.
ProbabilityGiven that the amount of time it takes Hugo to solve a Rubik's cube is continuous and uniformly distributed between 4 minutes and 11 minutes, to determine what is the probability that it takes Hugo less than 5 minutes given that it takes less than 6 minutes for him to solve a Rubik's cube, the following calculation must be performed:
100 / 8 = 12.512.5 x 2 = 25Therefore, the probability that it takes Hugo less than 5 minutes is 25%.
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Write the whole number as an equivalent fraction with the given denominator.
5= /4
Answer:
20/4
Step-by-step explanation:
5 = x/4
mulitply both sides by 4
x = 20
so the fraction is 20/4
A washer and a dryer cost $1024 combined. The washer cost $74 more than the dryer. What is the cost of the dryer
Answer:
Let the dryer cost x.
Then, the washer costs (x+87)
Together, they cost (x) + (x+87) = 787
2x+87 = 787
2x = 700 [subtract 97 from both sides]
x = 350 [divide both sides by 2]
The dryer cost $350.
Check: The washer cost $437. Together, they cost $787 [good to check, right?]
Step-by-step explanation:
hope it's help!!!
Write the trinomial as a square of a binomial or as an expression opposite to a square of a binomial: 4cd -25c^2 -0.16d^2
Answer:
= -(5c - 0.4d)^2
Step-by-step explanation:
4cd - 25c^2 - 0.16d^2
= 4cd - (5c)^2 - (0.4d)^2
= -[(5c)^2 -2*5*0.4cd + (0.4d)^2]
= -[(5c)62 - 2*(5c)*(0.4d) + 0.4d)^2]
= -(5c - 0.4d)^2
Find the factored form of the expression.
3x^2 + 300 = 0
The answer needs to be . 3(x − 10 i )(x + 10 i ) can you show the work to get to this?
Answer:
Step-by-step explanation: 3x^2 + 300 = 0
is a monomial expresion.
An Isosceles Triunde
has legs measure
3x^4 - 6x-1 unit.
The Perimeter of the
triangle is
7x^4 - 3x^3-x-6
Find the Base.
Answer:
base = [tex]x^4 - 3x^3+11x-4[/tex]
Step-by-step explanation:
An isosceles triangle has 2 sides of equal length (a) and base (b)
⇒ perimeter of an isosceles = 2a + b
Given:
[tex]\textsf{leg (a)}=3x^4 - 6x-1[/tex] [tex]\textsf{perimeter}=7x^4 - 3x^3-x-6[/tex][tex]\implies \textsf{perimeter}=2a+b[/tex]
[tex]\implies 7x^4 - 3x^3-x-6=2(3x^4 - 6x-1)+b[/tex]
[tex]\implies 7x^4 - 3x^3-x-6=6x^4 - 12x-2+b[/tex]
[tex]\implies x^4 - 3x^3+11x-4=b[/tex]
Therefore, base = [tex]x^4 - 3x^3+11x-4[/tex]
Answer:
Perimeter=sum of sides
Let base be y[tex]\\ \tt\longmapsto 3x^4-6x-1+3x^4-6x-1+y=7x^4-3x^3-x-6[/tex]
[tex]\\ \tt\longmapsto 6x^4-12x-2+y=7x^4-3x^3-x-6[/tex]
[tex]\\ \tt\longmapsto y=x^4-3x^3+11x-4[/tex]
PLEASE HELP I'LL GIVE ANYTHING
simplify the expression
60m - 15 (4 - 8m) + 20
Answer:
180m-40
Step-by-step explanation:
60m- 60 + 120 +20
=180m-40
180m-40
Step-by-step explanation:
if right please brainliest
Which of the following sets of numbers between 12 and 20 contains only prime numbers .
Answer:
13, 17, 19
Step-by-step explanation:
Go through (12-20) and find the multipliers for each number.
13 = 13 x 1
14 = 7 x 2 , 14 x1 = no
15 = 5 x 3, 15 x 1 = no
17 = 17 x 1
18 = 6 x 3, 9 x 2, 18 x 1 = no
19 = 19 x 1
Please help me with this question
Answer:
8 cm
Step-by-step explanation:
V = 1/3 (Base Area) × h
216cm³ = 1/3(81cm²) × h
216cm³ = 27cm² × h
÷ 27cm ÷ 27cm
8 cm = h
I hope this helps!
If a disease outcome had odds of 1:1 in a high-risk subgroup, that would mean that the disease outcome would certainly occur (100% probability). True False
Gavin has $20 to spend at an arcade. He spends $8.75 on lunch and plans to use the rest of his money on game tickets. Each game ticket costs $1.25. The inequality 1.25t+8.75 ≤20 can be used to find t, the number of game tickets Gavin can buy. What is the solution to this inequality?
Answer: 9 tickets
Step-by-step explanation: you have to subtract the $8.75 from lunch and then divide it by $1.25 to see the maximum quantity of tickets he can purchase with his remaining money
explain why the product of one positive factor less than 1 and one factor greater than 1 is between both factors
Answer:
because the force of attraction is greater than one
A burrito costs $6.50 at a local restaurant.
Answer the questions below.
Answer:
there is no question you just made a statement
Find an equation of the tangent line to y = 2e^x sec(x) at x = pi/4
Answer:
y = 6.20 + 12.4(x - pi/4)
Step-by-step explanation:
dy/dx = 2e^x secx + 2e^x secx * tanx= 2e^x secx (1 + tanx)
At x = pi/4, use sec(pi/4) = [tex]\sqrt{2}[/tex]. tan(pi/4) =1
so dy/dx = 2e^(pi/4) * [tex]\sqrt{2}[/tex] * (1 + 1) = [tex]4 \sqrt{2} e^{\pi/4}[/tex] ≈ 12.4 (This is the slope of the tangent line)
When x = pi/4, y = 2e^(pi/4) * [tex]\sqrt{2}[/tex] = [tex]2 \sqrt{2} e^{\pi/4}[/tex]= 6.20
Then the equation of the tangent line is
y = 6.20 + 12.4(x - pi/4)
A ream of paper containing 500 sheets is 5 cm thick. How many sheets of this type of paper would there be in a stack 7.5 cm high?
Answer:
The answer is 5.80 cm high
The ABC Book club charges $40 monthly fee, plus $2 per book read in that month. The east book club charges a $35 monthly fee, plus $3 per book read in that month. For each club, how many y books must be read in 1 month for the total charges from each club to be equal
1
2
4
5
6
75
please help asap!! 20 points
3*f(-4)-3*g(-2)
Answer:
-27
Step-by-step explanation:
By inspection of the graph
f(-4) = -3
g(-2) = 6
Therefore, 3 · f(-4) - 3 · g(-2) = (3 x -3) - (3 x 6) = -27
Khan academy
Please need help
Answer:
-3<x<-2
Step-by-step explanation:
In the graph you can see that from x=-3 to x=-2, the graph is below the x axis, meaning that it is below zero. none of the other options are below zero at their respective ranges, so that's your answer
how to factor x^3 + x - 4 = 0
Answer:
X = 1.378797
Step-by-step explanation:
However, the following root(s) were found by numerical methods.
X = 1.378797
A box has 640 nails. Each model boat needs 8 nails to hold it together. How many model boats can be made?
Need help fast Real fast What is the area
Answer:
508
Step-by-step explanation:
23 * 13 = 299
19 * 11 = 209
299+209=508
In the figure below, angles ACB and ANC are right-angles. What is the 10cm area of AABC?
A 24 cm²
B 37.5cm²
C 40cm²
D 75 cm²
Answer:
area of ΔABC = 48 cm²
Step-by-step explanation:
We have been provided with height of 6 cm and have to find base.
using Pythagoras theorem:
a² + b² = c²
a² + 6² = 10²
a² = 100 -36
a² = 64
a = √64
a = 8
Area of both triangles:
[tex]\frac{1}{2}[/tex] * base * height
[tex]\frac{1}{2}[/tex] * 8 * 6
24 cm²
area of both triangles: 24 cm² * 2 = 48 cm²
Apply Pythagorean theorem
[tex]\\ \tt\hookrightarrow AN^2=10^2-6^2[/tex]
[tex]\\ \tt\hookrightarrow AN^2=8^2[/tex]
[tex]\\ \tt\hookrightarrow AN=8cm[/tex]
AB=2(8)=16cmArea
[tex]\\ \tt\hookrightarrow \dfrac{1}{2}bh[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{1}{2}(16)(10)=8(10)=80cm^2[/tex]
Required area:-80/2=40cm^2
Elissa is readiing a 627 page book She has reached page 239
How many pages does she have ot read before finishing the book?
Answer :
388 Pages Left
Explanation : 627 - 239
◊ YusuCr ◊
Your friend is having trouble analyzing solutions to linear equations. Create a study guide for your friend and include the following.
Explain what a solution to an equation is.
Provide an example of an equation with exactly one solution. Prove why it has one solution.
Provide an example of an equation with no solution. Prove why it has no solution.
Provide an example of an equation with infinitely many solutions. Prove why it has infinitely many solutions.
Explain the general process for determining whether an equation has one, infinitely many, or no solution.
Answer:
Sana all my jówa haha thanks
Write the expanded form of the expression.
6(3x - 7)
A university is comparing the grade point averages of theater majors with the grade point averages of history majors. The university currently has 50 total theater majors and 50 total history majors. The mean and standard deviation for each population are shown in the table.
Theater Majors - (Population Mean 3.22 , Population Standard Deviation 0.002)
History Majors - (Population Mean 3.24 , Population Standard Deviation 0.08)
The university wants to test whether there is a significant difference in GPAs for students in the two majors. What is the P-value and conclusion at a significance level of 0.05?
Using the z-distribution, as we have the standard deviation for the population, we have that the correct option is:
The p-value is of 0.0772. Fail to reject the null hypothesis that there is no difference in the GPA's.
What are the hypothesis tested?At the null hypothesis, we test if there is no difference in the means, that is:
[tex]H_0: \mu_T - \mu_H = 0[/tex]
At the alternative hypothesis, we test if there is a difference, that is:
[tex]H_1: \mu_T - \mu_H \neq 0[/tex]
What is the distribution of the sampling distribution of sample differences?For each sample, we have that:
[tex]\mu_T = 3.22, s_T = \frac{0.002}{\sqrt{50}} = 0.00028284271[/tex]
[tex]\mu_H = 3.24, s_H = \frac{0.08}{\sqrt{50}} = 0.01131370849[/tex]
Hence:
[tex]\overline{x} = \mu_T - \mu_H = 3.22 - 3.24 = -0.02[/tex]
[tex]s = \sqrt{s_T^2 + s_H^2} = \sqrt{0.00028284271^2 + 0.01131370849^2} = 0.0113[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis, hence:
[tex]z = \frac{\overline{x} - \mu}{s}[/tex]
[tex]z = \frac{0.02 - 0}{0.0113}[/tex]
[tex]z = -1.77[/tex]
What is the p-value and the decision?Using a z-distribution calculator, considering a two-tailed test, as we are testing if the mean is different of a value, with z = -1.77, it is found that the p-value is of 0.0772.
Since the p-value is greater than the significance level of 0.05, the correct option is:
The p-value is of 0.0772. Fail to reject the null hypothesis that there is no difference in the GPA's.
More can be learned about the z-distribution at https://brainly.com/question/13873630
Answer:
The P-value is 0.0772. Fail to reject the null hypothesis that there is no difference in the GPAs.
I need the answer to this question please.
The value of sin2 Θ is in the 4th quadrant is -24/25
Explanation:
Given the expression of cosΘ= 3/5 with Θ in quadrant 4;
According to SOH, CAH TOA;
cosΘ= adjacent/hypotenuse
Get the opposite
5² = opp² + 3²
opp² = 25 - 9
opp² = 16
opp = 4
SinΘ = opp/hyp
SinΘ = 4/5
Sin2Θ = 2sinΘ cosΘ
Sin2Θ = 2(-4/5)(3/5)
Sin2Θ = -24/25
Hence the value of sin2Θ is in the 4th quadrant is -24/25
hello help me with this question thanks in advance
need solution
As per questions,
1)Angle SKR = 90° (Diagnols dissecting each other in a Kite forms a right angle)
[Option C]
2)Angle RAT = 32° (Given RAT means that the value is given for the middle alphabet, which means A is 64°. As RAK is half of full angle A, so, 64÷2 )
[Option A]
3)Angle ARS = 116° (180°-64° = 116°)
[Option D]
4)Angle KRS = 58° (We know that ARS is 116°, So, KRS is its half, which means 116÷2)
[Option B]
5)All of the above as all the given sides have 90° angle.
[Option D]