Answer:
B. v
Step-by-step explanation:
I calculated it logically
The function h(t) = -4.9t2 + h0 gives the height (h), in meters, of an object t seconds after it falls from an initial height (h0). The table shows data for a pebble that fell from a cliff. Image description Choose the quadratic equation that models the situation.
The quadratic equation that models the situation is
h(t) = - 4.9t² + 60.
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is that the function h(t) = - 4.9t² + h₀ gives the height (h), in meters, of an object (t) secs after it falls from an initial height h₀. The table shows data for a pebble that fell from a cliff as -
TIME (t) HEIGHT (h)
1 55.1
2 40.4
3 15.9
The given function is -
h(t) = - 4.9t² + h₀
For the point (1, 55.1), we can write as follows -
55.1 = - 4.9 x 1 x 1 + h₀
h₀ = 55.1 + 4.9
h₀ = 60
So, we can write the function as -
h(t) = - 4.9t² + 60
Therefore, the quadratic equation that models the situation is
h(t) = - 4.9t² + 60.
To solve more questions on quadratic equations, visit the link below -
brainly.com/question/22412845
#SPJ1
Answer:
c on edge
3.5
Step-by-step explanation:
 A jar filled with maple syrup weighs 1.5 pounds. Two jars filled with honey weigh 3 pounds. What is the weight of the jar?
The weight of the jar after solving equation simultaneously is w=0.
Define system of linear equation.A set of two or more first-degree equations with two or more connected unknowns is known as a system of linear equations.
How to solve system of linear equation.A system of equations is solved by determining the value of each unknown until the system's equations are all satisfied. That is, it is necessary to find the values of the unknowns so that, when substituted, they will produce the suggested solution in both equations.
j+w=1.5
2j+w=3
Simultaneously solving gives
w=0
the weight of jar is 0.
To learn more about linear equation visit the link:
http://brainly.com/question/12788590
#SPJ1
Vanessa and Naomi each can earn $12 a day walking dogs. If Vanessa starts with $25 and Naomi starts with $14, and they both work every day, in how many days will their combined earnings total $159
Answer:
[tex]25 + 12x + 14 + 12x = 159 \\ 39 + 24x = 159 \\ 24x = 120 \\ x = 5[/tex]
they will earn a combined $ 159 in 5 days
The figure below is the two-dimensional net of a rectangular prism. What is the surface area of the prism it can be folded to form?
The net of a rectangular prism. The length is 4 units, width is 2 units, and height is 1 unit.
8 square units
20 square units
24 square units
28 square units
I NEED HELP NOWWW!!!
Answer:
I think it's 28 square units
could u please help me
Answer:
there is not enough info but i think it would be (5,11)
Step-by-step explanation:
divide
Answer:
[tex]y=\dfrac{11}{4}x[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]
Choose two (x, y) points from the given table:
Let (x₁, y₁) = (4, 11)Let (x₂, y₂) = (8, 22)Substitute them into the slope formula:
[tex]\implies \dfrac{22-11}{8-4}=\dfrac{11}{4}[/tex]
[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]
Substitute point (4, 11) and the found slope into the point-slope formula and rearrange to slope-intercept form:
[tex]\implies y-11=\dfrac{11}{4}(x-4)[/tex]
[tex]\implies y-11=\dfrac{11}{4}x-11[/tex]
[tex]\implies y=\dfrac{11}{4}x[/tex]
A car dealership pays a wholesale price of $20,000 to purchase a vehicle. The car dealership wants to make a 32% profit. By how much will the mark up to the price of the vehicle?
Which graph below is a tree graph?
I think that it is the last one
Hope this helps
Answer: D
Step-by-step explanation:
There are 13 muffins in each box. Which shows the tota
number of muffins in 4 boxes?
(4 × 10) + (4 x 3) = 52
(4 x 10) + 3 = 43
A
B
4+ (10 x 3) = 34
5 (4+10)+(4+ 3) = 21
The total number of muffins in 4 boxes by the arithmetic equation is (4 × 10) + (4 x 3) = 52.
What is arithmetic equation?The series where the common difference between any two next words stays constant is known as an arithmetic sequence. Let's review what a sequence is. A collection of numbers that follow a pattern is called a sequence.
Every term in an arithmetic sequence is created by adding a specified number (either positive, negative, or zero) to the term before it.
the number of boxes of muffins is 4
The muffins in each box is 13
so the total number of muffins in 4 boxes is 4 x 13
⇒ 4 x (10 + 3)
⇒ (4 x 10) + (4 x 3) = 52
To learn more about arithmetic sequence visit:
brainly.com/question/16671654
#SPJ1
A manufacturer produces soda cans and a quality control worker randomly selects two cans from the assembly line for testing. Past statistics show that 10% of the cans are defective. What is the probability that the two selected cans are defective if the quality control worker selects the two cans from a batch of 60 cans?
Answer:
It would be 1%
Step-by-step explanation:
First of all, note that any of the cans with the batch have the same chance at being defective, so ingore that. However, note the chance that each one is defective:
10%
So if you picked up any can, it would have a 10% chance of being defective. With this, by picking up two cans, you would do:
0.1 * 0.1 = 0.01
To find the chance of both cans being defective, being 1% for both of the selected cans being defective.
Round 0.21545977 to the nearest hundredth
Answer:
0.22
Step-by-step explanation:
Since 5 rounds up, it would be 0.22
Answer:
0.22 Is the answer.
I wish you luck on your assignments.
A recipe calls for 3/4 cup of sugar.
How many cups of sugar are
needed to make the recipe 8 times?
Anusha starts from her home p goes to school S via Q, R. Find the total displacement made by her to go from her home to school.
The total displacement made by her to go from home to the school is given by the sum of the distances of P to Q, Q to R and then R to S.
How to obtain the total displacement?The total displacement is obtained as the distance that she walks to go to the school from her home.
The check-points that she passes to go to the school are given as follows:
P to Q.Q to R.R to S.Hence the total displacement is given by the sum of each of these distances.
These distances are calculated using the formula for the distance between two points, given as follows:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In which [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of each point.
Missing InformationThe problem is incomplete, hence the answer is given in general terms.
More can be learned about the distance between two points at https://brainly.com/question/7243416
#SPJ1
2) Which of the following would be A' if A (2, -3)
was reflected over the x axis?
a. A'(-2, -3)
c. A'(-2, 3)
b. A'(2, 3)
d. A'(2, -3)
A'(-2, -3) would result if A (2, -3) was reflected over the x axis. Point (2,3)'s representation under the x-axis is (2,-3). from the y-axis P image (-a,b).
What is (2, -3) reflected over the x-axis?Changing the sign of the value on the opposite axis, in this case the y-value, is all that is required to reflect a point such as (-2,3) across the x-axis in a question. As a result, this location has a y-value of 3. A positive number, this. A negative sign produces a result of -3.
While the Y coordinate remains the same when you reflect across the Y-axis, the X coordinate changes sign. Determining the reflection of (2, 3) across the Y-axis is therefore (-2, 3). The Y-coordinate of each point must be negative while reflecting across the X axis, but the X value must remain constant.
Therefore the correct answer is option a ) A'(-2, -3)
To learn more about reflection refer to :
https://brainly.com/question/27912791
#SPJ1
The ultimatum game is a popular research tool for studying topics such as fairness and altruism. The game itself is simple. Two players are told that they will be dividing up a sum of money. One player is designated as the proposer. Her job is to suggest a division of the sum. The second player is designated the responder, and he decides to either accept the proposed division (in which case the division stands and each player is paid accordingly) or to reject the proposed division, in which case both players get nothing.
Part 1 (1 point) See Hint Consider an implementation of the ultimatum game in which the players divide up a pot of $60. To keep the analysis easier, you can assume that all divisions must occur in $1 increments. What is the rational, game-theoretic solution to this game?
A. The proposer suggests a 50/50 division (so each player would get $30), and the responder rejects.
B. The proposer suggests an uneven split favorable to herself (so the proposer would get $36, and the responder would get $24), and the responder accepts.
C. The proposer suggests an uneven split favorable to the other player (so the proposer would get $24, and the responder would get $36), and the responder accepts.
D. The proposer suggests close to an all/nothing split favorable to the other player (so the proposer would get $1, and the responder would get $59), and the responder rejects.
E. The proposer suggests an uneven split favorable to the other player (so the proposer would get $24, and the responder would get $36), and the responder rejects.
F. The proposer suggests close to an all/nothing split favorable to the other player (so the proposer would get $1, and the responder would get $59), and the responder accepts.
G. The proposer suggests an uneven split favorable to herself (so the proposer would get $36, and the responder would get $24), and the responder rejects.
H. The proposer suggests a 50/50 division (so each player would get $30), and the responder accepts.
I. The proposer suggests close to an all/nothing split favorable to herself (so the proposer would get $59, and the responder would get $1), and the responder accepts.
J. The proposer suggests close to an all/nothing split favorable to herself (so the proposer would get $59, and the responder would get $1), and the responder rejects.
Part 2 (1 point) See Hint When this game is played with real people, does the result typically match the game-theory prediction discussed in Part 1? yes no
Answer:
1. The rational, game-theoretic solution to this game is:
H. The proposer suggests a 50/50 division (so each player would get $30), and the responder accepts.
2. No. When this game is played with real people, the result does not typically match the game-theory prediction discussed in Part 1.
Step-by-step explanation:
Players in a game respond with different strategies, which are usually unknown to the second player. While people are expected to act rationally, most times, they do not. They are propelled by different rationality and preferences. Therefore, players' game strategies are unpredictable.
3 coins are tossed
probability that:
a. no heads are tossed:
b. at least 1 head is tossed:
c. exactly 1 head is tossed:
d. 3 heads are tossed
Answer:
a. 12.50%
b. 87.50%
c. 37.50%
d. 12.50%
Step-by-step explanation:
I NEED HELP IM CONFUSED
Answer:
x=-2 or x=8Step-by-step explanation:
Isolate by the x from one side of the equation.
|x-3|=5
x-3=-5 and x-3=5
1. x-3=-5
Add 3 from both sides.
x-3+3=-5+3
Solve.
-5+3=(-2)
x=-2
2. x-3=5
Add 3 from both sides.
x-3+3=5+3
Solve.
5+3=8
x=8
Therefore, the correct answer is x=-2 or x=8.
12 divided by four
plus 2 x 6+4
Answer:
19
Step-by-step explanation:
12 divided by four plus 2 x 6+4
assuming that the question is:
12 : 4 + 2 x 6 + 4 =
3 + 12 + 4 = (remember PEMDAS)
19
name all the terms realted to subtraction
Answer:
Other words for subtraction:
taking away
withdrawal
abstraction
removal
discounting
Step-by-step explanation:
Solve the inequality,
x + 6.56 > 25.2
Answer: x>18.64
Step-by-step explanation:
x+6.56-6.56>25.2-6.56
x>18.64
At a sporting event, the price for 3 cheeseburgers and 2 cups of lemonade is
$19 and the price for 2 cheeseburgers and 4 cups of lemonade is $18. How much
does it cost for 1 cheeseburger and 1 cups of lemonade?
*
By solving system of linear equation we get Cost for 1 cheeseburger $5 and 1 cups of lemonade $2
What is a system of linear equations?A system of linear equations is a collection of two or more linear equations that have the same variables. A linear equation is an equation in which the highest power of the variable is 1. In other words, the equation is a straight line when graphed.
Here is an example of a system of linear equations:
3x + 2y = 19
2x + 4y = 18
This is a system of equations problem, where we can use the information provided to set up two equations and then solve for the unknown variables. Let x be the cost of one cheeseburger and y be the cost of one cup of lemonade.
From the information provided, we know that:
3x + 2y = 19 (the cost of 3 cheeseburgers and 2 cups of lemonade is $19)
2x + 4y = 18 (the cost of 2 cheeseburgers and 4 cups of lemonade is $18)
To find the cost of one cheeseburger and one cup of lemonade, we can solve this system of equations. One way to do this is by substitution.
3x + 2y = 19
we get
[tex]x=\frac{19-2y}{3}[/tex]
substituting x in equation 2x+4y=18
we get
[tex]2(\frac{19-2y}{3})+4y=18[/tex]
[tex]38 - 4y + 12y = 54\\8y = 16\\y = 2[/tex]
substituting y in equation 3x+2y=19
[tex]3x+2(2)=19\\3x=19-4\\3x=15\\x=5[/tex]
The cost of one cup of lemonade is $2
The cost of one cheeseburger is $5
To know more about the system of linear equation, check out:
https://brainly.com/question/25858757
#SPJ1
Find the surface area of the right triangular prism.
Answer:
yup soooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
well this is how i do it. add everything then divide by 2 becuase triangle is half of square
If the probability of s1 = .6 and the probability of F = .40 what is the value at node 4.
Group of answer choices
320
280
310
260
200
If the probability of s1 = .6 the value above node degree 4 will be 320, as determined by the solution.
What does a node's degree mean?The area of mathematics known as probability deals with numerical descriptions about how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
According to the given information:S1 probability = 0.6
F's likelihood is 0.40.
If the probability of S1 is given a value of 0.6, then
Probability of S2 then equals 0.4.
Using the table equation's payoff values as an exception.
EV=Σ
Each decision's expected value is calculated.
EV(Node 8) = 0.6 * 100 + 0.4 * 300
= 180
EV(Node 9) = 0.6 * 400 + 0.4 * 200= 320
We chose the best value for node 4 from nodes 8 and 9.
The ideal option for node 9 is the line complicated branch with EV(node 8) = 180.
The ideal anticipated value is determined to be 320.
Node 4's EV is 320.
To know more about probability visit:
https://brainly.com/question/30034780
#SPJ1
Use the graphs of f and g to graph h(x)=(f+g)(x). (Graph segments with closed endpoints).
The required graph of the function of h(x) is shown, where h(x) = |x| + |x + 2|.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In the graph, functions f and g are absolute functions,
f = |x|
g = |x + 2|
So,
h(x) = f + g
Now substitue the functions,
h(x) = |x| + |x + 2|
Thus, the required graph of the function of h(x) is shown.
Learn more about function here:
brainly.com/question/21145944
#SPJ1
please help with all 3 questions
will give brainliest to whoever answers them all
Answer:
Question 1: 29
Question 2: 50
Question 3: AD≅BC
Step-by-step explanation:
question 1: Since it's a parallelogram opposite sides are equal.
4x+5=5x-1 add one to both sides
4x+6 =5x subtract 4x from both sides
6 = x
So AD is equal to 5(6) - 1 = 30-1 = 29=AD
Question 2: Since diagonals in a parallelogram bisect each other AE = EC
So...
5x+5 = 8x- 7 add 7 to both sides
5x+12 = 8x subtract 5x from both sides
12=3x divide both sides by 3
4=x
AC= 5(4) + 5 + 8(4) - 7
AC= 20 + 5 + 32 - 7
AC= 50
Question 3: Lines can only be congruent, represented by ≅, not equal which is represented by =. Values can be equal.
By using the elimination method you get the answer line AD ≅ line BC
Line C passes through the points (-6, -2) and (3,8). Line Fis perpendicular to Line C. What is the slope of Line F?
Slope of Line F =
2 3
4
Answer:
-9/10
Step-by-step explanation:
The slope of line C is [tex]m=\frac{8-(-2)}{3-(-6)}=\frac{10}{9}[/tex].
The slope of any line perpendicular to line C is the negative (opposite) reciprocal of this slope.
The slope of line F is [tex]-\frac{9}{10}[/tex].
Rewrite the equation by completing the square. 4 x^{2} +8 x +3 = 0
Answer:
[tex]\implies \boxed{\red{\sf ( x +1)^2 = \dfrac{1}{4}}} [/tex]
Step-by-step explanation:
Given :-
A equation is given to usThe equation is 4x² + 8x + 3 = 0And we need to write the equation by completing the square. Here's the step by step explanation .
Step 1: Make the coefficient of x² as 1 :-
[tex]\implies \dfrac{4x^2}{4} + \dfrac{8x}{4} + \dfrac{3 }{4}= 0 [/tex]
Step 2: Rewrite the equation :-
[tex]\implies x^2 + 2x +\dfrac{3}{4}= 0 [/tex]
Step 3: Add 1² to both sides :-
[tex]\implies x^2 + 2x + 1^2+\dfrac{3}{4}= 0 + 1^2 [/tex]
Step 4: Rewriting in whole square form:-
[tex]\implies ( x +1)^2 = 1 - \dfrac{3}{4} [/tex]
Step 5: Simplify the RHS :-
[tex]\implies ( x +1)^2 = \dfrac{4- 3}{4} [/tex]
Step 6: The required form of equⁿ :-
[tex]\implies ( x +1)^2 = \dfrac{1}{4} [/tex]
Hence the equation by rewriting it by completing the square is ( x + 1)² = 1/4 .
A data set is made up of the values 5, 6, 9, 12, and 18.
The table shows the distance between each value and the mean of 10.
Data value
Distance between
value and mean
5
5
6
4
9
1
12
2
18
8
Sum of distances 20
What is the mean absolute deviation (MAD) of the data set?
Answer:
4
Step-by-step explanation:
a p e x its correct
Find the quotient: 3 3/4 ÷ 2
Answer:
[tex]1\frac{7}{8}[/tex]
Step-by-step explanation:
Answer:
1.875
Step-by-step explanation:
Convert the whole number 3, and you get 15/4
complete the process, and you get 1.875 aka 1 7/8
How do you find the equation of the midline for a function?
Therefore , the solution to the given problem is the equation of the midline is: y = M+m /2 .
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
Here,
The midline equation is y = M+m /2
when a function has: o a max M AND a min m or o (if it does not have extrema) a bound above M and a bound below m, where M is the minimum bound above and m is the maximum bound below.
When one of the following conditions is true for a function, even though it has a bound below, there is no midline (even if it has a bound above)
It is solely constrained from above (or below)
Any line is midline if a function has the values (-∞, +∞)
Therefore , the solution to the given problem is the equation of the midline is: y = M+m /2 .
To know more about equation , visit
https://brainly.com/question/649785
#SPJ1
Solve for h. Please show work.
Answer: 3.75 ft
Step-by-step explanation:
30/8=3.75
So since area is A= L*W
8*3.75=30 ft2