Answers
Answer:
m∠8 = 45°
Step-by-step explanation:
Angles 8 and 9 are vertical angles. Vertical angles are two angles opposite each other when two straight lines intersect each otherThey're congruent and thus equal.Therefore, since m∠9 = 45°, m∠8 also = 45°Related Questions
Please help :( PQRS is a quadrilateral and M is the midpoint of PS.
PQ=a QR=b AQ=a-2b
Show that PS =2b
Answer as fast as possible please
Answers
Answer: B)
Could you please merk me as "Brainliest"
A security car is parked 25 ft from a movie theater. Find at what speed the reflection of the security strobe lights is moving along the wall of the movie theater when the reflection is 30 ft from the car. The strobe lights are rotating with the speed 2 revolutions per second.
Answers
Answer:
v=20π ft/s
Step-by-step explanation:
Given:
Distance from the security car to the movie theater, D=25 ft
Distance of the reflection from the car, d=30 ft
Speed of rotation of the strobe lights, 2 rev/s
To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.
We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.
ω=2πf
=> ω=2π(2)
=> ω=4π rad/s
The distance between the security car and the reflection on the wall of the theater is...
r=30-25= 5 ft
The speed of reflection is given as (this is the linear velocity)...
v=ωr
Plug our know values into the equation.
v=ωr
=> v=(4π)(5)
∴ v=20π ft/s
Thus, the problem is solved.
The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.
To solve this problem, we can use the concept of related rates. Let's consider the following variables:
x: Distance between the security car and the movie theater wall
y: Distance between the reflection of the security strobe lights and the security car
θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights
We are given:
x = 25 ft (constant)
y = 30 ft (changing)
θ = 2 revolutions per second (constant)
We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.
Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:
x^2 + y^2 = z^2
Differentiating both sides of the equation with respect to time (t), we get:
2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)
Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.
Plugging in the known values, we have:
2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)
Simplifying the equation, we find:
60(dy/dt) = 120π
Dividing both sides by 60, we get:
dy/dt = 2π ft/s
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You buy an 8-year $1,000 par value bond today that has a 6% yield and a 6% annual payment coupon. In 1 year promised yields have risen to 7%. Your 1-year holding-period return was
Answers
In one-year, the promised yields have risen to 7%, then the 1-year holding-period return was : (a) 0.61%.
The "Par-value" of the bond (face value) is = $1,000;
Coupon rate = 6% (annual payment coupon)
Yield at purchasing time is = 6%
Yield after 1 year = 7%
Step 1: Calculate the present value of the redeemable value:
We know that PVIF at 7% for 7 years is 0.623,
So, Present value of redeemable value = (Par value) × PVIF = $1,000 × 0.623 = $622.75,
Step 2: Calculate the present value of coupon payments:
Coupon payment = (Coupon rate)×(Par value) = 6% × $1,000 = $60,
We know that PVAF at 7% for 7 years is 5.389,
So, Present value of coupon payments = (Coupon payment) × (PVAF) = $60 × 5.389 = $323.36,
Step 3: Calculate the price of bond after 1 year:
Price of bond = Present value of redeemable value + Present value of coupon payments,
Substituting the values,
We get,
Price of bond = $622.75 + $323.36 = $946.11
Step 4: Calculate the 1-year holding-period return:
Holding return = (Price in next year + Coupon interest - Price in current year) / Price in current year,
Holding return = ($946.11 + $60 - $1,000) / $1,000
Holding return = $6.11 / $1,000
Holding return = 0.00611 = 0.61%.
Therefore, the correct option is (a).
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The given question is incomplete, the complete question is
You buy an 8-year $1,000 par value bond today that has a 6% yield and a 6% annual payment coupon. In 1 year promised yields have risen to 7%. Your 1-year holding-period return was
(a) 0.61%
(b) -5.39%
(c) 1.28%
(d) -3.25%
Let A be a diagonalizable matrix whose eigen values satisfy that A2 = A + 1. Then A satisfies A) A² = A +1 B) A² = A + 2 C) A² = A D) A² = A + 1
Answers
D) A^2 = A + 1 this equation represents diagonal matrices with the same eigenvalues on the diagonal.
Let λ be an eigenvalue of the matrix A, and let v be the corresponding eigenvector. Since A is diagonalizable, we can write A = PDP^(-1), where D is the diagonal matrix containing the eigenvalues on the diagonal, and P is the matrix whose columns are the eigenvectors.
We know that A^2 = A + 1, so we can substitute A with its diagonalizable form:
(PDP^(-1))^2 = PDP^(-1) + 1.
Expanding the square and applying the matrix multiplication rules, we get:
PD^2P^(-1) = PDP^(-1) + 1.
Since D is a diagonal matrix, D^2 will have the eigenvalues squared on the diagonal. Therefore, we have:
P(D^2)P^(-1) = PDP^(-1) + 1.
Multiplying both sides by P^(-1) on the right, and by P on the left, we obtain:
D^2 = D + 1.
This equation holds because P^(-1)P = I (the identity matrix), and D and D^2 are diagonal matrices with the same eigenvalues on the diagonal.
Therefore, the correct answer is D) A^2 = A + 1.
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d. -(y² - 2) = y²-5-2y², solve for y
Answers
Answer:
No solution
Step-by-step explanation:
-(y² - 2) = y²-5-2y²
= y^2 - 5 - 2y^2 = - (y^2 - 2)
= -y^2 - 5 = - (y^2 - 2)
= −(y^2 − 2)
= -y^2 - 5 = -y^2 + 2
-5 = 2
We know that -5 is not equal to 2
So, there is no solution
Answer:
2
Step-by-step explanation:
Answer
A)75
B)65
C)60
D)70
Answers
Answer:
the answer is C your welcome!!!!
Step-by-step explanation:
Answer:
Let's denote O as center of circle.
=> Two isosceles triangles AOB and EOF are congruent (SSS).
Because AO = BO = EO = FO = radius of circle O, AB = EF = 8
=> Arc AB = AOB = EOF = Arc EF = 65 deg.
Hope this helps!
:)
A study at a college in the west coast reveals that, historically, 45% of the students are minority students. If a random sample of size 75 is selected, what is the probability that more than half of the students in the sample will be minority students?
Answers
The probability that more than half of the students in the sample will be minority students is approximately 78.13%.
To calculate the probability that more than half of the students in a random sample of size 75 will be minority students, we need to use the binomial probability formula.
The probability of success (being a minority student) is given as 45% or 0.45.
We want to find the probability of having more than half of the sample being minority students, which means we need to calculate the probability of having 38 or more minority students in the sample.
Using a binomial probability calculator or a statistical software, we can find the cumulative probability of having 38 or more minority students out of a sample size of 75 with a success probability of 0.45.
The probability is approximately 0.7813 or 78.13%. Therefore, the probability that more than half of the students in the sample will be minority students is approximately 78.13%.
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in multiple regression analysis, the correlation among the independent variables is termed _____.A) multicollinearityB) linearityC) adjusted coefficient of determinationD) homoscedasticity
Answers
In multiple regression analysis, the correlation among the independent variables is termed multicollinearity
Multicollinearity in a multivariate regression model refers to the correlations between two or more independent variables. Multicollinearity can lead to skewed or false results when a researcher or analyst attempts to determine how effectively each independent variable can be used to predict or understand the dependent variable in a specific statistical model.
It is the term which is generally used to describe the situation in which two or more explanatory variables in a multiple regression model have strong linear correlations with one another but not with the dependent variable. Many times, the creation of new dependent variables that are reliant on other variables can also result in multicollinearity.
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Can somebody help me this math problem please correctly
Answers
Answer: the answer is 1.8 x \(10^{-3}\) because their is 3 (0) on the left side and left Side is negative
The value of the square root of 13 is between
Answers
Answer:uhhhhhhhhhhhhhhhhhhh 14
Step-by-step explanation:
What is the value of g?
___°
Answers
Answer:
31 degrees
Step-by-step explanation:
Answer:
31 Degrees
Step-by-step explanation:
Since this is a right angle, it will equal 90 degrees.
Take 90 and subtract 59 to get g.
g = 31 degrees
f(x)=-x2+8x-1 find f(3) show work
Answers
=14
5. Conditional probability does not rely on another event happening. True or False?
Answers
The statement "Conditional probability does not rely on another event happening" false because conditional probability relies on another event happening
Now, let's address the statement "Conditional probability does not rely on another event happening. True or False?" The statement is False. Conditional probability by definition relies on another event happening, which is the event that the probability is conditioned on. In the example above, event B is a prerequisite for calculating the probability of event A, so the occurrence of event B is necessary for the calculation of the conditional probability P(A|B).
To explain this concept mathematically, let's use the formula for conditional probability:
P(A|B) = P(A and B) / P(B)
Where P(A and B) is the probability of both events A and B occurring, and P(B) is the probability of event B occurring. This formula shows us that the probability of A occurring given B has occurred is equal to the joint probability of A and B occurring divided by the probability of B occurring.
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Ethan and Adrian are reading the same book. At the beginning of the month, Ethan was on page 18 and Adrian was on page 45. Ethan will read 12 pages per day and Adrian will read 9 pages per day. Let E represent the page of the book that Ethan is on at the end of t days into the month, and let A represent the page of the book that Adrian is on at the end of t days into the month. Write an equation for each situation, in terms of t, and determine whether Ethan or Adrian is farther along in the book after 4 days.
Answers
The equations are e = 18+12t and a = 45+9t
Adrian will be father along in the book after 4 days. She will be 15 pages ahead of Ethan
Ethan's page number at the beginning of the month = 18
Adrian's page number at the beginning of the month = 45
Pages read by Ethan each day = 12 pages
Pages read by Adrian each day = 9 pages
Let e represent the page of the book that Ethan is on at the end of t days into the month. Let a represent the page of the book that Adrian is on at the end of t days into the month.
Formulating the equation we get the following:
e = 18 + 12t
a = 45 + 9t
Finding the page number of both Ethan and Adrian after 4 days by substituting the values in the equations we get:
e = 18+12(4)
e = 66
a = 45 + 9(4)
a = 81
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Find an explicit rule for the nth term of the sequence.
-3, -15, -75, -375, ...
Answers
Answer:
a(n) = -3*5^(n-1)Step-by-step explanation:
Given sequence
-3, -15, -75, -375, ...This is a GP with
The first term = -3Common ratio = 5Formula for nth term is:
a(n) = -3*5^(n-1)The amount of fresh water left in the tanks of a nineteenth-century clipper ship is a linear function of the time since the ship left port, as shown in the table. Write an equation in point-slope form that represents the function. Then find the amount of water that will be left in the ship's tanks 60 days after leaving port.
1=3555
8=3240
15=2925
Answers
The line with slope m that contains the point (x1, y1) can be described by the equation
y − y1 = m(x − x1). In a real-world linear situation, you may have information that represents two points on the line. You can write an equation in point-slope form that represents the situation and use that equation to solve a problem.
Let x represent the number of days since the ship left port and y represent the number of gallons of water.
Two points on the line are (8,3240) and (1, 3555).
m =
3555 − 3240
1 − 8
=
315
−7
= −45
y − y1 = m(x − x1) Point-slope form.
y − 3555 = −45(x − 1) or y − 3240 = −45(x − 8)
y − 3555 = −45(60 − 1) Substitute for x.
y − 3555 = −2655 Simplify the right side.
y = 900 Solve for y.
900 gallons of water will be left after 60 days.
Hope this helped! (I didn't do it sooner cause I just did the quiz lol)
The equation of the function, in point-slope form, is given by:
\(y - 3555 = -45(x - 1)\)
The amount of water left in the ship after 60 days is of 900 cubic units.
A line, in point-slope form, is represented by the following equation:
\(y - y_0 = m(x - x_0)\)
In which:
m is the slope, which is the rate of change.The point is \((x_0, y_0)\).We have two points: (1, 3555) and (8,3240).
Taking the first point, \(x_0 = 1, y = 3555\).The slope is given by change in y divided by change in x, thus:\(m = \frac{3240 - 3555}{8 - 1} = -45\)
Then
\(y - y_0 = m(x - x_0)\)
\(y - 3555 = -45(x - 1)\)
The amount after 60 days is y when x = 60, thus:
\(y - 3555 = -45(60 - 1)\)
\(y = 900\)
The amount of water left in the ship after 60 days is of 900 cubic units.
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Find x
Please I need your help, I have 3 mins left
Answers
Answer:
x =8
Step-by-step explanation:
5200 people attend a football match. It takes 10 minutes for all of them to leave the stadium. At what rate do they leave? Include the correct units in your answer.
Answers
1. A fence company sells wooden and metal fences. Let x represents the number of wooden fences they sell and let y represent the number of metal fences. They make a profit of $340 for each wooden fence and $290 for each metal fence. Write an objective function that could be used to determine how many of each to make in order to maximize profit.p =
Answers
x represents the number of wooden fences
and
y represents the number of metal fences
The profit for each wooden fence is 340
The profit for each metal fence is 290
The function for total profit will be :
p = 340x + 290y
7(y-2)=7y-14 I’m kinda confused
Answers
Answer:
Infinitely many solutions
Step-by-step explanation:
Equation:
7(y-2)= 7y - 14
1. Simplify each side
7y - 14 = 7y - 14
Infinitely many solutions
Choose the equation that represents the line that passes through the point (2, 6) and has a slope of −5.
Answers
Answer:
y=-5x+16
Explanation:
We already know the slope, and in y=mx+b, m is the slope. So now we have y=-5x+b.
Next, since we do not know the y-intercept, we can substitute the y and x values we are given in the current equation we have, y=-5+b. Now we have 6=-5(2)+b.
Now we can solve for b.
6=-10+b
16=b. We know that b=16.
Therefore, the equation is y=-5x+16
Where -4 is the y-intercept
FOR A FUNDRAISER THE BASKETBALL TEAM IS SELLING 75 WRIST BANDS FOR $3 EACH
Answers
Answer:&225
Step-by-step explanation:
Answer:
225
Step-by-step explanation:
What is a valid signature do you need to be able to read it or what
Sincerly,
Xavier Martinez
Answers
Nope, and there's an stereotype on medical doctors that their signature is just a garbled or gibberish, which very often is true
these days we also have "digital signatures" you can include in an email, which are just encrypted material verifyable by some encryption keys, it varies but the leading ones are PGP and/or GPG types
so valid is one that's consistent, could be your fingerprint if you wish, and due to its consistency also verifyable.
identify the area od the rhombus.
Answers
Calculate the height of the upper triangle, using the Pythagoras theorem
\(\begin{gathered} 25^2=7^2+h^2 \\ h^2\text{ = }625\text{ - 49} \\ h^2\text{ = }576 \\ h\text{ = }\sqrt[]{576} \\ h\text{ = }24 \end{gathered}\)The length of the vertical diagonal = 2 x 24
The length of the vertical diagonal = 48m
\(\begin{gathered} \text{Area = }\frac{48\times14}{2} \\ \text{Area = }48\times7 \\ \text{Area = 336 m}^2 \end{gathered}\)NEED HELP!!! 30 POINTS
FIND THE RATIONAL EXPONENT FORM!!
Answers
Answer:
Step-by-step explanation:
The root which is 2 is the fractional portion of your exponent
\(\sqrt{x^{7} y^{12} }\)
=\((x^{7} y^{12} )^{\frac{1}{2} }\) >You can distribute 1/2 to each term by multiplying
\(=x^{\frac{7}{2} } y^{6\)
HELP ME ASAP I NEED HELP
Answers
Answer:
distance = 7.07 units
Step-by-step explanation:
x difference = 7
y difference = -1
using the Pythagorean theorem:
7² + -1² = d²
d² = 49 + 1 = 50
d = 7.07
Answer:
7.1
Step-by-step explanation:
distance between the x is 7 and y is 1
And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2
c=50
and take the square root, which is 7.071, rounds to 7.1
Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the parameter. x = tan(θ), y = sec(θ), (1,√2)
Answers
The equation of the tangent to the curve x=tan(θ) and y=sec(θ) at the point (1,√2) can be found by both eliminating the parameter and without eliminating the parameter.
Find an equation of the tangent to the curve?Eliminating the parameter: y = x + √2Without eliminating the parameter: dy/dθ = sec(θ) + tan(θ) × csc(θ); y = sec(θ) + tan(θ) × (x - tan(θ)).Without eliminating the parameter:The equation of the tangent line at (1,√2) is given by y = (sec(θ)cos(θ))x - (sec^2(θ)) + √2, where θ is the parameter.This is derived from the slope of the tangent line, which is equal to the derivative of the function at the given point, or sec(θ)cos(θ).By eliminating the parameter:The equation of the tangent line at (1,√2) is y = x + (1/√2). This equation is derived from the slope of the tangent line, which is equal to the derivative of the function at the given point.Since the derivative of x = tan(θ) and y = sec(θ) is sec(θ)cos(θ), by setting θ = π/4, we get sec(π/4)cos(π/4) = 1/√2. Therefore, the equation of the tangent line is y = x + (1/√2).To learn more about tangent line approximation refer to:
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Ayoo if dia makes any sense plz help u needa find the domain an range of #1 #2 an #3.. Just unit 10........
Answers
Dead asl (can't keep replying stop blowing my shii up)
YYYYYYYYYYYEEEEEEEEEEEEEERRRRRRRRRRRRRRRR WSG MAMAS I MISSD U BRU FR ITS BEEN TOO LONG
What does “E” and “D” equal? I forgot how to do this lol
Answers
Answer:
d = 49 degreese = 41 degreesStep-by-step explanation:
d = 180 - 131 = 49
e = 180 - (90 + 49) =
180 - 139 =
41
Hope that helps!
Answer:
d: 49
e:41
Step-by-step explanation:
180-131=d which is 49
90+49=139
180-139= e which is 41
Simplify
1-(cos^2)theta/(sin^2 )theta
A. 1
B. sin^2 theta
C. cos^2 theta
D. tan^2 theta
Answers
A) 1
Explination:
So 1-cos^2 = sin^2
Which means you now have sin^2 theta/sin^2 theta
Which =1