What is the percent of the discount for a $60 item that sells for $45?
Answer:
75%
Step-by-step explanation:
45/60 x X/100
45x100
4500/60
75%
Find the measure of
SH
HM
TH
HR
TD
ER
Answer:
Step-by-step explanation:
Centroid of a triangles is a point of intersection of it's medians.
Centroid divides the medians in the ratio of 2 : 1.
By this property of the centroid,
SH : HM = 2 : 1
Since, SM = 24,
SH = \((\frac{2}{2+1})(SM)\)
= \(\frac{2}{3}\times 24\)
SH = 16
HM = SM - SH
= 24 - 16
HM = 8
TH : DH = 2 : 1
Since, DH = \((\frac{1}{2+1})(TD)\) = 4
\(\frac{1}{3}(TD) = 4\)
TD = 12
Therefore, TH = TD - DH
= 12 - 4
TH = 8
Since, EH = \((\frac{1}{2+1})(ER)\) = 6
\(\frac{1}{3}(ER)=6\)
ER = 18
Therefore, HR = ER - EH
= 18 - 6
HR = 12
Moe and Larry each need to raise $200 to go on a trip with their school band.
Mo has $35 in savings and earns $20 per week delivering papers.
Larry has $60 in savings and earns $10 per we do yard work.
Each student can write an equation using the
following "let" statements:
Let X be the number of weeks work and Y be the amount of money saved.
How long will it take for a have to work to have enough money for the trip ?
Moe Larry
35 + 20x 60 + 10x
35 + 20x = 60 + 10x
(show work)
x = 2.5
Moe and Larry will have the same amount of money in their savings accounts after 2.5 weeks.
-From TheRealMarinette
-Pls Dont Not Copy N Paste.
Newton's second law gives F = ma, where is the force, m is the mass of an object, and a is the acceleration of the object. Both m and a are vectors and their dimensions usually are different. Usc m = (5 8 10) and a = [2 5) in your work to calculate the F for each pair of m&a. Your answer should be like this:
F =
[10 16 20]
[25 40 50]
The value of F for each pair of m&a using Newton's second law is 70N.
We have to find the F for each pair of m&a using Newton's second law which gives F = ma. Since m and a are vectors, we use the vector dot product to calculate F.The formula for the vector dot product is given as
A . B = ||A|| ||B|| cosθ.
Here, θ is the angle between the vectors A and B.
θ = 0° because both the vectors are in the same direction. Therefore, cosθ = 1.
Using the formula for the dot product, we have:
F = m . a= ||m|| ||a|| cosθ= m1a1 + m2a2 + m3a3
where ||m|| = √(52 + 82 + 102) = √189 = 13.75, and
||a|| = √(22 + 52) = √29 ≈ 5.39
Therefore,F = m . a= (5 × 2) + (8 × 5) + (10 × 2)= 10 + 40 + 20= 70 N
Thus, the value of F is 70 N.
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A triangle has side lengths of (6a - 36) centimeters, (5a + 5c) centimeters, and (8c - b) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
11a + 13c -b - 36
Step-by-step explanation:
We add all the sides together because we're looking for perimeter.
Please help it’s due at 11:59
Answer:
c=-16
Step-by-step explanation:
Point A has coordinates (-4, -2). Point B has
coordinates (6, 3). Find the coordinates of
point P on directed line segment AB that
partitions AB so that AP: AB is 3:5.
To find the coordinates of point P on directed line segment AB that partitions AB so that AP: AB is 3:5, we can use the formula for finding the point that lies a certain fraction of the way between two other points:
What is partitions?
A partition is a logical division of a hard drive that an operating system (OS) or file system treats as a separate entity. Each partition can be managed by operating systems and file systems just like a separate hard drive.
P = (1 - t)A + tB
where A and B are the coordinates of the two points, and t is a value between 0 and 1 that determines where the point P lies on the line segment AB.
In this case, we are told that the ratio of AP to AB is 3:5. We can set t equal to 3/5, which means that point P is 3/5 of the way from A to B along the line segment AB:
P = (1 - 3/5)A + (3/5)B
= (2/5)A + (3/5)B
Substituting the coordinates of A and B, we get:
P = (2/5)(-4, -2) + (3/5)(6, 3)
= (-8/5, -6/5) + (18/5, 9/5)
= (10/5, 3/5)
= (2, 3/5)
Therefore, the coordinates of point P are (2, 3/5).
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Answer:
P(2, 1)
Step-by-step explanation:
You want point P on directed segment AB such that AP:AB = 3:5.
Equation for PThe required ratio can be written in terms of the coordinates of A and B:
AP/AB = 3/5
5(AP) = 3(AB) . . . . . . . multiply by 5AB
5(P -A) = 3(B -A) . . . . . express the lengths as coordinate differences
5P = 3B +2A . . . . . . . . add 5A
P = (3B +2A)/5 = (3(6, 3) +2(-4, -2))/5 = (18-8, 9 -4)/5 = (10, 5)/5
P = (2, 1)
The coordinates of P are (2, 1).
Consider the following extensive-form game: Player 1 moves in odd periods and player 2 moves in even periods. The game lasts for maximally T periods. In each period t≤T there is a surplus S=2−
t
1
. Whenever a player moves she can either Stop or Continue. A player who chooses Stop ends the game and receives the entire surplus S; the other player receives 0 . If all player always choose Continue, they both receive a payoff of 2 . (a) Draw the game tree. (b) For any given T, how many strategies does each player have? (c) For every finite T describe all subgame-perfect equilibria. (d) For every finite T describe all Nash equilibria. (e) If T is infinite, describe all pure-strategy subgame-perfect equilibria. (f) Optional - food for thought: If T is infinite, describe all subgame-perfect equilibria. (g) What does this game tell you about the difference between using subgame-perfection and backward induction to solve extensive form games?
(a) The game tree for the given extensive-form game is as follows:
```
/ \
C/ \S
/ \
C/ \C
/ \ / \
C/ \S C/ \S
/ \ / \
C C C C
```
In each period, Player 1 has the choice to either Continue (C) or Stop (S). Player 2, in the even periods, also has the choice to either Continue or Stop. The payoffs are indicated at the terminal nodes of the game tree.
(b) For any given T, each player has 2^T strategies. This is because in each period, a player has two choices: Continue or Stop.
Since the game lasts for maximally T periods, there are T decision points for each player, resulting in 2^T possible strategies for each player.
(c) In every finite T, there are multiple subgame-perfect equilibria. A subgame-perfect equilibrium requires that players' strategies are optimal not only at the initial stage but also at every subgame.
In this game, for any finite T, the subgame-perfect equilibrium is for both players to always choose Continue until the final period T and then choose Stop to receive the surplus S. This ensures that players receive a payoff of 2 in every period until T and then receive the surplus S at the end.
(d) In every finite T, there are also multiple Nash equilibria. A Nash equilibrium requires that no player can unilaterally deviate and improve their payoff.
In this game, the Nash equilibrium is for both players to always choose Continue in every period. If either player deviates and chooses Stop, they will receive 0 payoff instead of 2.
(e) If T is infinite, there are no pure-strategy subgame-perfect equilibria. This is because if the game continues indefinitely, there is no final period at which players can choose to Stop and receive the surplus S.
Therefore, there are no pure-strategy subgame-perfect equilibria in an infinite game.
(f) If T is infinite, there are also no subgame-perfect equilibria. Since the game does not have a final period, players cannot reach a point where they can optimize their payoffs by choosing to Stop and receive the surplus S.
As a result, subgame-perfect equilibria do not exist in an infinite game.
(g) This game highlights the difference between using subgame-perfection and backward induction to solve extensive-form games. While backward induction requires considering each subgame and making optimal choices at each stage, subgame-perfection focuses on ensuring that players' strategies are optimal not only at the initial stage but also at every subgame.
In this game, subgame-perfection yields a different equilibrium outcome than backward induction. While backward induction suggests that players should choose Stop in the final period, subgame-perfection dictates that players should always choose Continue until the end. Therefore, the concept of subgame-perfection allows for more flexibility and considers the optimal strategies in each subgame, even in the absence of a final period.
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there is a four-stage hypothesis about the origin of life. what are the stages in the correct order?
Plsss help me I have 10 minutes to answer the question
Answer:
-36
Step-by-step explanation:
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
-9.x+ 16x – 10x – 4y
PLEASE HELP FOR 20 POINTS
Answer:
You Answer is C. 738
Step-by-step explanation:
L x W x H
A= 2 w l h l h w = 2 18 13.5 4 13.5 4 18 = 738
1x+2x = what?
Will mark brainiest whatever that mean
Answer:
3x
Step-by-step explanation:
Answer:
3x
Step-by-step explanation:
1+2=3
so 1X+2x=3x
a data analyst wants to tell a story with data. as a second step, they focus on showing the story of the data to highlight the meaning behind the numbers. which step of data storytelling does this describe?
The step of data storytelling that describes showing the story of the data to highlight the meaning behind the numbers is "Visuals". The correct answer is option (d).
Visuals are an important aspect of data storytelling because they can help to convey complex information in a simple and easy-to-understand way. Visuals can include graphs, charts, diagrams, and other types of visual aids that appeal to the sight and are used for effect or illustration.
By using visuals, a data analyst can help their audience to better understand the story that the data is telling and to see the patterns and trends that might not be presently alleged from the raw numbers alone.
Hence, the correct answer is option (d).
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The complete question is as follows:
A data analyst wants to tell a story with data. As a second step, they focus on showing the story of the data to highlight the meaning behind the numbers. which step of data storytelling does this describe?
a. Primary message
b. Engagement
c. Narrative
d. Visuals
Jana is a caterer . She's making lasagna cupcakes and Gorgonzola onion tarts for a party ,and only has a limited time to finish . She already has all her fillings ready and just needs to assemble and bake the appetizers . It takes 10 minutes to assemble each pan of lasagna cupcakes . It takes 15 minutes to roll out the Gorgonzola onion tarts and fill each pan . She has a maximum of 2 hours to assemble the appetizers . Next she needs to bake the appetizers . Each pan of lasagna cupcakes takes 20 minutes to bake . Each pan of Gorgonzola tarts takes 6 minutes to bake . She has 60 minutes to bake the appetizers . What system of inequalities that models this scenario ? CHECK ALL THAT APPLY . Also how would those inequalities look graphed ?
Answer::
\(\begin{gathered} 20x+6y\le60 \\ 10x+15y\le120 \\ x\ge0 \\ y\ge0 \end{gathered}\)Explanation:
Let the number of lasagna cupcakes made = x
Let the number of Gorgonzola onion tarts made = y
0. It takes ,10 minutes, to assemble each pan of lasagna cupcakes.
,1. It takes ,15 minutes, to roll out the Gorgonzola onion tarts and fill each pan.
,2. She has a maximum of ,2 hours (120 minutes), to assemble the appetizers.
These translate to the inequality:
\(10x+15y\le120\)0. Each pan of lasagna cupcakes takes 20 minutes to bake.
,1. Each pan of Gorgonzola tarts takes 6 minutes to bake.
,2. She has 60 minutes to bake the appetizers.
These translate to the inequality:
\(20x+6y\le60\)Since she must bake either lasagna cupcakes or Gorgonzola tarts, we have that:
\(\begin{gathered} x\ge0 \\ y\ge0 \end{gathered}\)So the system of inequalities is:
\(\begin{gathered} 20x+6y\le60 \\ 10x+15y\le120 \\ x\ge0 \\ y\ge0 \end{gathered}\)The graph that bests represents this scenario is:
I NEED HELP WITH THIS
I will give you branilest!
Solve 1/3(x-10)= -4
Answer:
x=-2
Step-by-step explanation:
Answer:
1/3x - 3.3 = -4
+3.3 +3.3
1/3x = -0.7
/1/3 /1/3
x = -2.1
check: 1/3(-2.1) - 3.3
-0.7 - 3.3
-4 = -4
correct!
Step-by-step explanation:
Four friends, Abe, Bob, Carl, and Darrel, are going to a fun park .They want to ride go-karts. The price to ride the go-karts is $2.15 for 5 minutes,$4.00 10 minutes ,or $6.75 for 15 minutes .Which price is the best deal?Explain why? math question
Answer:
Since in this option the minute is paid at $0.40, the best option is 10 minutes for $ 4.
Step-by-step explanation:
Since four friends, Abe, Bob, Carl, and Darrel, are going to a fun park, and they want to ride go-karts, and the price to ride the go-karts is $ 2.15 for 5 minutes, $ 4.00 for 10 minutes, or $ 6.75 for 15 minutes, to determine which price is the best deal, the following calculations must be performed:
2.15 / 5 = 0.43
4/10 = 0.40
6.75 / 15 = 0.45
Therefore, since in this option the minute is paid at $ 0.40, the best option is 10 minutes for $ 4.
Suppose A and B represent mutually exclusive events.
What is P(A or B) if P(A)= 3/5 and P(B)= 1/3?
A- 11/15
B- 3/15
C- 14/15
D- 4/15
Answer:
14/15
Step-by-step explanation:
simple
3/5 + 1/3= 14/15
In a social group, 62 members enjoy dancing and 28 members enjoy hiking. If each of the 75 members in the group enjoys dancing or hiking, how many members enjoy both dancing and hiking?
Answer: 162
Step-by-step explanation:
so you will have to do 62+28+75=162
15 member enjoy both dancing and hiking.
What is Conditional Probability?The likelihood of the preceding event is multiplied by the probability of the subsequent, or conditional, occurrence to determine the conditional probability. Conditional probability examines the likelihood that one event will occur given the likelihood that a related event will occur beforehand.
We have,
Member enjoy dancing, n(D) = 62
Member enjoy hiking, n(H) = 28
Member enjoy dancing or hiking, n(D ∪ H) = 62
Using Conditional probability
n (D ∪ H) = n(D) + n(H) - n (D ∩ H)
75 = 62 + 28 - n (D ∩ H)
75 - 90 = - n (D ∩ H)
n (D ∩ H) = 15
Thus, 15 member enjoy both dancing and hiking.
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Find the value of each variable.
suppose you wish to compare the mean gpa of students in the college of public health to the mean gpa of students in the college of medicine at usf. if you have a list of all the students the fit into your population of interest and randomly select 100 students to be apart of your study, what type of sampling are you doing?
When you have a list of all the students the fit into your population of interest and randomly select 100 students to be apart of your study, the type of sampling that you doing is stratified sampling.
What is a stratified sampling?A method of sampling from a population that can be divided into subpopulations is known as stratified sampling in statistics. When subpopulations within a larger population differ in statistical surveys, it may be advantageous to sample each subpopulation separately.
For example, if one is interested in differences between groups based on race, gender, or education, stratified random sampling is frequently used by researchers to learn about different subgroups or strata based on the entire population being studied. In this case, the subpopulation from the initial population is chosen.
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If a parcel of land originally worth $35,000 increases in values 18% per year, what will the land be worth about in the eighth year?
Answer:
131560.072
Step-by-step explanation:
Because it is increase so we add humdred to the percent and then divide by hundred - 18+100/100 = 1.18
eight years - 1.18 raised to the pwer of 8
worth - 35000
hence it will be - 1.18 raised to the power of 8 x 35000
thank you
Yo can someone help me with math please and explain no bots
Answer: your answers are d, b, and b!
Step-by-step explanation:
Answer:
1. A. new comment
2. D .fictional reference
3. A. a storm is coming
Step-by-step explanation:
its just makes sense to me!
The second has initial wealth w = $2000 and expected utility preferences with a utility
inder v(r) = In(2). Suppose he faces a choice between two lotteries: p', which loses $1000 half the time and $O otherwise, and p?, which loses $500 with certainty. Calcu- late the risk premia this decision maker is willing to pay to eliminate the risk of each
of these lotteries. Which lottery does the decision-maker prefer? Explain.
The decision-maker is willing to pay a risk premium of $250 to eliminate the risk of lottery p', and a risk premium of $500 to eliminate the risk of lottery p?. Therefore, the decision-maker prefers lottery p?.
What is the rationale behind the decision-maker's preference for lottery p? over p'?The decision-maker's utility function suggests that they have a logarithmic utility index, v(r) = In(2). To calculate the risk premia, we compare the expected utilities of the lotteries. For lottery p', the expected utility is E[v(p')] = (1/2) * v(-1000) + (1/2) * v(0) = (1/2) * In(2) + (1/2) * In(2) = In(2). For lottery p?, the expected utility is E[v(p?)] = v(-500) = In(2). Since both lotteries have the same expected utility, the decision-maker is indifferent between them in terms of expected utility.
However, the decision-maker is risk-averse, which means they prefer to eliminate risk when possible. To eliminate the risk of lottery p', the decision-maker is willing to pay a risk premium of $250 (which is half the difference between the potential losses of $1000 and $0). On the other hand, to eliminate the risk of lottery p?, the decision-maker is willing to pay a risk premium of $500 (the full potential loss amount).
Therefore, the decision-maker prefers lottery p? as they are willing to pay a higher risk premium to eliminate its risk.
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This graph shows a proportional relationship between the number of tulips and the number of daffodils in gardens planned by the Lindy Landscaping Company.
Lindy Landscaping Gardens
A line graph titled Lindy Landscaping Gardens has tulips on the x-axis, and Daffodils on the y-axis. There is 1 tulip for every 2 daffodils.
What is the constant of proportionality?
0.2
0.5
2
5
Answer: 2
Step-by-step explanation: I saw the answer somewhere else. Just wanted to tell you. I got it right on the test I think I was doing.
Answer:
2
Step-by-step explanation:
Line PQ is located in the coordinate plane with point P at(-2,-2)
and point Q at (0,7). Point R is located at (3, 0). For what coordinates of point S will lines PQ and RS be parallel?
(5,9)
(9,5)
(5. – 1)
(1-1,5)
Answer:
The coordinates of point S are (5, 9) will make line PQ // line RS ⇒ A
Step-by-step explanation:
Parallel lines have the same slopes
The slope of a line = Δy/Δx, where
Δ y is the change of yΔ x the change of xLet us first find the slope of the line PQ.
∵ P = (-2, -2) and Q = (0, 7)
∴ Δx = 0 - (-2) = 0 + 2 = 2
∴ Δy = 7 - (-2) = 7 + 2 = 9
∴ The slope of PQ = 9/2
∵ Line PQ // line RS
∴ The slope of line PQ = the slope of line RS
∴ The slope of line RS =9/2
∵ Point R = (3, 0) and point S = (x, y)
∵ The slope of line RS = 9/2
∵ The slope = Δy/Δx
∴ Δy/Δx = 9/2
→ That means Δy = 9 and Δx = 2
∵ Δy = y - 0
∵ Δy = 9
∴ 9 = y
∵ Δx = x - 3
∵ Δx = 2
∴ 2 = x - 3
→ Add 3 to both sides
∴ 2 + 3 = x - 3 + 3
∴ 5 = x
∴ The coordinates of point S are (5, 9) will make line PQ // line RS
Please answer my question quickly.
Answer:
b=sqrt7
Step-by-step explanation:
16=9+b^2
Two small metal spheres are 35. 1 cm apart. The spheres have equal amounts of negative charge and repel each other with forces of magnitude 0. 0360 n. What is the charge on each sphere?
Two small metal spheres are 35. 1 cm apart. The spheres have equal amounts of negative charge and repel each other with forces of magnitude 0. 0360 n. The charge on each sphere \(Q = 1.4 \times 10^{-12}\) c.
What is coulombs law?According to coulombs law force between two charges is given by
\(F = \dfrac{1}{4\pi \epsilon }\dfrac{Qq}{r^2}\)
Here, R is the distance between both the charges Q and q.
Two small metal spheres are 35. 1 cm apart.
The spheres have equal amounts of negative charge and repel each other with forces of magnitude 0. 0360 n.
We have given force F =0.036 N
R is the distance between both the charges which is given as 25 cm
So
\(F = \dfrac{1}{4\pi \epsilon }\dfrac{Qq}{r^2}\)
\(0.036 = \dfrac{1}{4\times 3.14\times 8.85\times 10^{-12} }(\dfrac{Q^2}{35. 1})\)
\(Q = 1.4 \times 10^{-12}\) c
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36. Write the triangle congruence criterion illustrated
by each pair of triangles.
Answer:
A - ASA
B - ASA
C - SAS
D - SSS
Step-by-step explanation:
I hope this helps you out!