Let draw a picture of the given part
so we can see that BD is perpendicular to BF, which implies that BD is perpndicular to DG because DG and BF are parallel lines..
Therefore, the answer is
\(BD\perp DG\)you and a friend have created a carnival game for your classmates. you plan to charge $1 for each time a student plays, and the payout for a win is $5. according to your calculations, the probability of a win is .05 what is your expected value for this game?
Answer:
The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.
Step-by-step explanation:
Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing
In this case:
Probability of Winning = 0.05
Payout for Win = $5
Cost of Playing = $1
Expected Value = (0.05 * $5) - $1
Expected Value = $0.25 - $1
Expected Value = -$0.75
please answer asap please
A piano mover uses a ramp to move a piano into a house. The doorway to the house is 2 feet above the ground and the ramp starts 7 feet from the doorway. Assuming the ground is level and is perpendicular to the side of the house, what is the approximate length of ramp? You must round your answer to two decimal places.
Complete and report the answer in scientific notation with the correct number of significant figures.
Recall that in a product or a quotient the result should be rounded to the least number of significant figures in any number of the problem, therefore:
\(\frac{(1.12\times10^9)(5.850\times10^{-2})}{7.0601\times10^{-3}}=0.9280321080\times10^{10}\approx9.28\times10^9\text{.}\)Answer: 9.28x10⁹.
8. An art teacher hadgallon of paint to pour into containers. If he poured gallon of paint into each
container until he ran out of paint, how many containers had paint in them, including the one that was
partially filled?
A 1
B3
C 5
D6
Answer:
Step-by-step explanation:
If the art teacher poured 1 gallon of paint into each container until he ran out of paint, then the number of containers he filled will depend on the size of the containers. We can calculate the number of containers by dividing the total amount of paint by the amount of paint in each container. Since the teacher poured 1 gallon of paint into each container, the number of containers he filled will be equal to the total amount of paint.
Therefore, the answer is A. 1 container had paint in it, including the one that was partially filled.
Show that in any representation where Jx and Jz are real matrices (therefore symmetrical),
Jy is a pure imaginary matrix (therefore antisymmetrical).
With the application angular momentum algebra Jy is Hermitian, Jy has imaginary matrix elements is proved.
What is Matrix?
a matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The entries of the matrix are the numbers, which are referred to as its elements. In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.
Solution:
Recall the angular momentum algebra:
[Jx, Jy] = ihJz, [Jy, Jz] = ihJx, [Jz, Jx] = ihJy
Given a basis | ii, the matrix representations for the Jx is [Jx]ij ≡ hi | Jx | ji, and likewise for
Jy and Jz. Thus, since Jx and Jz have real matrix elements, we find:
hi | Jx | ji = hj | Jx | ii, hi | Jz | ji = hj | Jz | ii
where we use the Hermiticty of Jx and Jz. Taking the matrix elements of the third commutator
given above, we find:
hi | [Jx, Jz] | ji = −i~ hi | Jy | ji
where
hi | [Jx, Jz] | ji = Summation k(hi | Jx | ki hk | Jz | ji − hi | Jz | ki hk | Jx | ji)
= − hj | [Jx, Jz] | ii
hi | Jy | ji = − hj | Jy | ii
Therefore, Jy is Hermitian, Jy has imaginary matrix elements.]
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You are preparing to buy a house. Your monthly gross income is $3,200. a. What is the maximum amount you can finance (mortgage)? (4 points)
The maximum amount you can finance is $896.
We are given that;
The monthly gross income = $3,200
Now,
28% of your gross monthly income on your mortgage, including taxes and insurance
The percentage = 28%
3200* 28/100
=32*28
=896
Therefore, by percentage the answer will be $896.
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Question 2: Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually. She plans to withdraw the money when she retires in 30
years.
a) Determine the value of the investment when she retires. Show your
work.
I
b) Calculate the rate of return [note:] over the 30 years. Show your work.
the value of the investment when she retires is $26434.92.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
here, we have,
given that,
Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually.
She plans to withdraw the money when she retires in 30
years.
So, she get finally is,
using the formula we get,
$26434.92
hence, the value of the investment when she retires is $26434.92.
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Which equation represents the perimeter of rectangle ABCD?; How do you find the length and width of a rectangle when given the perimeter?; What is the formula for calculating perimeter of a rectangle?; How do you find the length of a rectangle with the perimeter?
The formula for calculating it is perimeter of the rectangle = 2(length + width), meaning that it is equal to twice the sum of its length and width.
Given that,
We have to find which equation perfectly describes the ABCD rectangle's perimeter? How do you determine a rectangle's length and width given its perimeter?
We know that,
The total length of a rectangle's outer boundary is known as its perimeter. The formula for calculating it is perimeter = 2(length + width), meaning that it is equal to twice the sum of its length and width.
The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in metres, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.
A rectangle has four 90° angles.
The diagonals of a rectangle are all of the same length.
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help plz
which is right
Answer:
B
Step-by-step explanation:
Answer:
I think the anwser is
B.2cot x sec xHOPE IT HELPEDO
Problem !. Draw the Logic Circuit for:
BD + BE + D'F
Problem 2. What is the boolean Expression of F5?
B
X
Y
Z
F5
The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.
To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.
Step 1: Apply De Morgan's laws
NOT (R AND NOT P) can be simplified as (NOT R) OR P.
Step 2: Distributive property
F5 = (P AND Q) OR ((NOT R) OR P)
Step 3: Apply associative property
F5 = (P AND Q) OR (P OR (NOT R))
Step 4: Apply absorption law
F5 = P OR (P OR (NOT R))
Step 5: Apply idempotent law
F5 = P OR (NOT R)
By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.
Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.
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The question probable may be:
Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:
F5 = (P AND Q) OR (R AND NOT P)
Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?
13. Find the slope and write the equation of
the line passing through (-5, 3) and
|(-2, 0).
I
Answer:
Step-by-step explanation:
(0 - 3)/(-2 + 5) = -3/3 = -1
y - 0 = -1(x + 2)
y = -x - 2
Which explains the connection between the law of demand and excess demand?
O/ The law states that decreases in price leads to greater quantity demanded and limited supply, which occurs
/during excess demand.
The law states that increases in price increases leads to greater quantity demanded and limited supply, wh
occurs during excess demand.
The law states that decreases in price leads to greater supply and equilibrium, which occurs during excess
demand.
The law states that increases in price leads to greater supply and equilibrium, which occurs during excess
demand.
A, The law states that decreases in price leads to greater quantity demanded and limited supply, which occurs during excess demand.
Happy to help, have a good day! :)
Parallel lines j and k are cut by a transversal l. What is mT in the diagram below?
A. 30°
B. 60°
C. 110°
D. 120°
Answer:
A. 30°
Step-by-step explanation:
Answer:
30 degrees
Step-by-step explanation:
what is 38.08÷23.80 i need help
Answer:
1.6
Step-by-step explanation:
i used calculator
Answer: 1.6
Step-by-step explanation:
Decompose 2 ⅜ Plz help
Answer:
19 / 8
Step-by-step explanation:
2 3/8 = 19/8
Suppose c(p) gives the number of calories burned doing p push-ups, and
p(t) gives the number of push-ups a person can do in t seconds.what is the meaning of the composite function c(p(45)).
The meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds
How to interpret the meaning of the composite function c(p(45))?The functions are given as:
c(p) gives the number of calories burned doing p push-upsp(t) gives the number of push-ups a person can do in t secondsSo, the interpretation of the function c(p(t)) is
The number of calories burned doing push-ups in t seconds
In c(p(45)), the value of t is 45
Hence, the meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds
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Walter takes 7/10 0f an hour to mow 2/5 of an acre of lawn. At this rate how many acres weill he mow in an hour?
Answer:
Step-by-step explanation:
7/10 of an hour = 7/10 × 60 = 42 min
Acre of land = 2/5 acre
∵ area of land covered in 42 min = 2/5 acre
∴ area of land covered in 1 min = 2/5 × 42 = 16.8 acres
∴ area of land covered in 60 min = 16.8 × 60 = 1008 acres
hope this helps
plz mark it as brainliest!!!!!!!!
Answer:
4/7 acres per hour
Step-by-step explanation:
If A=(4,-5) and B=(7,-9), what is the length of AB
The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.
The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.
Let's calculate the length of AB using the given coordinates for points A and B:
Coordinates of point A: A = (4, -5)
Coordinates of point B: B = (7, -9)
The distance formula is given by:
\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)
Substituting the coordinates of A and B into the formula:
\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)
d = √[9 + 16]
d = √25
d = 5
Therefore, the length of line segment AB is 5 units.
The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.
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If f(x)=3x²-1 and g(x)= x+2, find (f+g)(x).
O
A. 3x3 - 2
B. 3x²+x+1
C. 4x² +1
D. 3x²+x-1
Answer:
(f + g)(x) = 3x² + x + 1
Step-by-step explanation:
\(\displaystyle{(f+g)(x) = f(x)+g(x)}\)
Substitute f(x) = 3x² - 1 and g(x) = x + 2 in:
\(\displaystyle{f(x)+g(x) = (3x^2-1)+(x+2)}\\\\\displaystyle{f(x)+g(x)=3x^2-1+x+2}\\\\\displaystyle{f(x)+g(x) = 3x^2+x+1}\\\\\displaystyle{\therefore (f+g)(x) = 3x^2+x+1}\)
Graph (1,-3) on a grid
Step-by-step explanation:
To plot (1,-3), start at the origin (0,0) and move right 1 unit and down 3 units.
hope it helps.
simplify 45÷3+2×8-12+43
Answer:
62
Step-by-step explanation:
divide, then multiply, then calculate the sum or difference and you should get 62
Answer:
Many ways
Step-by-step explanation:
One of them being:
1. 15 + 16 -12 +43
Answer is 62 if wondering
(Brainliet?)
First, divide 45 by 3 which is 15
Then, multiply 2 and 8 which is 16
Add 15 and 16 which is 31
Subtract 12 and get 19
Add 43 adn get 62
it takes mm to make cm
Answer:
In one in. there is 10 mm
Answer:
The answer is 10 mm
Step-by-step explanation:
it takes 10 mm to make 1 cm
-TheUnknownScientist 72
A self storage center is a storage room that is 8 feet long, 6 feet wide, and 10 feet high. What is the volume of the room? 24 cubic feet 48 cubic feet 140 cubic feet 480 cubic feet
Answer:
Step-by-step explanation: answer is 480 cubic feet. Just do 8 x 6 x 10.
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The probability that a point chosen at random lies on the shaded region is given as follows:
4/7.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The area of the shaded region in this problem is given as follows:
4² = 16.
The total area of the figure is given as follows:
16 + 2 x 1/2 x 3 x 4 = 28.
Hence the probability is given as follows:
16/28 = 4/7.
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what is equal to d - 7
d + (-7)
i don't know if this is what you mean
A clothing company makes a profit of $2.3 million. This is $4.1 million more than last year. What was the profit last year?
Answer:
-1.8 million. This means that the business likely spent a lot on production and generated very little sales during the first year.
Step-by-step explanation:
2.3 - 4.1= -1.8
Which expression is equival 81 1/3?
Answer: 3^3 Square root 3
Step-by-step explanation:
Use the following table to find the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Students on the Student Government Board
On-Campus Housing Off-Campus Housing
Freshman 2 2
Sophomore 2 4
Junior 0 3
Senior 4 2
Graduate Student 2 0
The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).
1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:
Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19
2. Calculate the total number of graduate students on the Student Government Board:
Total Graduate Students = 2 + 0 = 2
3. Calculate the total number of students living in on-campus housing:
Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10
4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:
Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19
5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:
Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19
6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:
Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19
7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.
8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).
9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.
Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).
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What transformation is represented by the function f(x)=2sin(x−π/2)
up 2
down 2
left π/2
right π/2
down π/2
Answer:
right π/2
Step-by-step explanation:
The function f(x) = 2sin(x - π/2) is a sine function with a period of 2π, an amplitude of 2, and a phase shift of π/2. The phase shift of π/2 causes the graph of the function to be shifted π/2 units to the right. .
Therefore, the correct answer is right π/2
guys please help me :(((((((((( crying
Answer:
18
Step-by-step explanation:
2/6
4/12
6/18
Answer:
x = 18
Step-by-step explanation:
We can write ratios
2 2+4
---- = -----
6 x
Using cross products
2x = 6(2+4)
2x = 6(6)
2x = 36
Divide by 2
2x/2 = 36/2
x = 18