Answers
Step-by-step explanation:
D) 1.02 × 10⁹ kL
Hope it helps you
Related Questions
During a fundraiser at Virginia Middle School, the school received $10 for every 3 items sold. If the students sold 300 items how much money did Virginia middle school receive? PLEASE HELP WILL MARK BRAINLY
Answers
Answer:
I do believe its 1000
Step-by-step explanation:
Answer:
Step-by-step explanation:
1000
. solve the problem as an lp, ignoring the integer constraints. b. what solution is obtained by rounding up fractions greater than or equal to 1/2? is this the optimal integer solution? c. what solution is obtained by rounding down all fractions? is this the optimal integer solution? explain. d. show that the optimal objective function value for the ilp (integer linear programming) is lower than that for the optimal lp.
Answers
As per the information provided, the answer to all the parts in the question will be as follows:
a. To solve the LP problem by ignoring the integer constraints in Excel using Solver, we can follow the steps below:
Enter the objective function and the constraints in a new Excel worksheet: Objective function: Maximize 15x1 + 2x2 Constraints: 7x1 + x2 <= 23 3x1 - x2 <= 5
Open the Solver add-in by clicking on Data -> Solver in the Excel menu.
Set the objective function to maximize and set the variable cells to x1 and x2. Set the constraints by clicking on Add in the Solver Parameters dialog box.
Set the Solver options to "Assume Linear Model" and "Make Unconstrained Variables Non-Negative". Click Solve. The solution to the LP problem is x1=3, x2=2.714, with an optimal objective function value of 51.714.
b. If we round up fractions greater than or equal to 1/2, the solution becomes x1=3, x2=3, with an objective function value of 51. This is not the optimal integer solution, as we will see in part d.
c. If we round down all fractions, the solution becomes x1=2, x2=2, with an objective function value of 34. This is not the optimal integer solution either, as we will see in part d.
d. To solve the ILP problem in Excel using Solver, we can follow the steps below:
Open the Solver add-in by clicking on Data -> Solver in the Excel menu. Set the objective function to maximize and set the variable cells to x1 and x2. Set the constraints by clicking on Add in the Solver Parameters dialog box. Set the Solver options to "Assume Linear Model" and "Make Unconstrained Variables Non-Negative". Add integer constraints by clicking on Add in the Solver Parameters dialog box, and setting the integer constraints for x1 and x2. Click Solve.
The solution to the LP problem is x1=2, x2=3, with an optimal objective function value of 48.
As we can see, the optimal objective function value for the LP problem (48) is lower than that for the LP problem (51.714), regardless of rounding up or down.
e. The optimal objective function value for the ILP problem is always less than or equal to the corresponding LP's optimal objective function value because the LP problem allows fractional solutions, while the ILP problem only allows integer solutions. Introducing additional constraints that restrict the variables to integers can only reduce the feasible solution space, and thus lead to a lower optimal objective function value. The LP and ILP problems would be equal if the optimal solution for the LP problem happens to be an integer solution.
To learn more about integers: https://brainly.com/question/929808
#SPJ4
Note that the full question is:
Given the following all-integer linear program: (COMPLETE YOUR SOLUTION IN EXCEL USING SOLVER AND UPLOAD YOUR FILE. BE SURE THAT EACH WORKSHEET IN THE EXCEL FILE CORRESPONDS TO EACH QUESTION BELOW ) Max 15x1 + 2x2 s. t. 7x1 + x2 < 23 3x1 - x2 < 5 x1, x2 > 0 and integer a. Solve the problem (using SOLVER) as an LP, ignoring the integer constraints.
b. What solution is obtained by rounding up fractions greater than or equal to 1/2? Is this the optimal integer solution? c. What solution is obtained by rounding down all fractions? Is this the optimal integer solution? Explain. d. Show that the optimal objective function value for the ILP is lower than that for the optimal LP (Eg. Resolve original problem using SOLVER with the Integer requirement). e. Why is the optimal objective function value for the ILP problem always less than or equal to the corresponding LP's optimal objective function value? When would they be equal?
to learn about the tv viewing habits of all the children attending oakbridge school, professor hull randomly selected and interviewed 50 of the school students. in this instance, all the children attending the school are considered to be a(n) population. representative sample. independent variable. control condition.
Answers
Answer:
representative sample
Step-by-step explanation:
ik things
In finance, we need to do partial observations of data and estimate the data generating process (DGP) -- for example, log-normal returns. Sometimes, we can observe only the data points of a certain process, but we don't know what is the function generating the process. Consider the following graph is a plot of the f ′
(x), of a function f(x) given. What is the underlaying function ( f(x −
i)) that is the generator of the observed points in the plot f ′
(x −
i), for points x −
1=−1,x −
2=−0.9,…,x −
n=1?
Answers
The underlying function f(x - i) that generates the observed points f'(x - i) in the plot can be determined by integrating the observed points. By integrating f'(x - i), we can obtain f(x - i) up to a constant of integration.
The constant of integration can be determined by incorporating additional information or constraints related to the problem or by considering the behavior of the function at a specific point.
To find the underlying function f(x - i) that generates the observed points f'(x - i), we need to integrate the observed points.
Integration is the reverse process of differentiation, so by integrating f'(x - i), we can recover f(x - i) up to a constant of integration.
The constant of integration arises because integration does not provide a unique solution.
The constant represents an arbitrary additive term that can vary depending on the specific problem or additional constraints.
To determine the constant of integration, we may need additional information or consider specific conditions related to the problem.
It is also important to note that the accuracy of estimating the underlying function f(x - i) depends on the quality and quantity of the observed data points f'(x - i). More data points and precise measurements can lead to a better estimation of the underlying function.
Additionally, the behavior of the function at a specific point can provide valuable insights for determining the constant of integration and refining the estimation of the underlying function.
To learn more about integration visit:
brainly.com/question/31954835
#SPJ11
What is a
1/3 + a = 5/4
Answers
a=5/4-1/3
a=11/12
Somone please help me on 9 and 10. I have done the rest but I am so confused on this. please
Answers
Answer:
C and A
Step-by-step explanation:
Remember what slope means: \(\frac{rise}{run}\).
9. The first slope is 2, or \(\frac{2}{1}\). This means it is moving up 2 and over 1. The second option is the reciprocal, \(\frac{1}{2}\). The second slope moves up 1 and over 2. The first slope is going higher than the second at the same distance. But then we are given the third slope. I'm going to assume here that it does not matter whether the slope is negative or positive, you are only considering steepness. If our first slope moved up 2 and over 1, this slope moves down 4 and over 1, meaning it is covering more area over the same distance. So the steepest slope is option C.
10. Right off the bat we can get rid of option C. The slope is zero, meaning a flat line with no steepness. Next, we need to figure out if A or B is steeper.
First, we can turn them into mixed numbers in order to better be able to tell which is greater.
\(\frac{5}{3}=1\frac{2}{3}\)
\(\frac{-3}{2}=-1\frac{1}{2}\)
Because we don't care whether the line is ascending or descending, we will compare the absolute value of the slopes.
\(1\frac{2}{3} >1\frac{1}{2}\)
So we can see that slope A, \(\frac{5}{3}\) is steeper than slope B.
I hope this helps!
The table below would represent a proportional relationship except for one y-value. Identify which y-value prevents the table from representing a proportional relationship. Then, select the value that would make the table proportional.
X 1.5, 2, 4, 4.5, 7
Y 6, 8, 16, 16.5, 28
Alternative values 17, 18, 18.5, 19.5, 20
Answers
9514 1404 393
Answer:
non-proportional y-value: 16.5
corresponding proportional y-value: 18
Step-by-step explanation:
Each y-value is 4 times the corresponding x-value except for (x, y) = (4.5, 16.5).
The correct proportional values would be (4.5, 18).
Each triangle in the STL file is defined by the vertices and inward pointing surface normal vector True O False Since the STL file is created from the Solid Model, it can be reconverted into the original CAD model O True False Which one of the following is NOT an advantage of using lattice structure? Reducing the weight Saving the material cost Simplifying the design and manufacturing process Increasing the heat exchange area for a heat exchanger
Answers
False. Each triangle in the STL file is defined by the vertices, but not necessarily by the inward pointing surface normal vector. The surface normal vector is often calculated based on the vertex positions.
False. The STL file is a mesh representation of the CAD model, and it does not contain all the information needed to fully reconstruct the original CAD model. It lacks information such as parametric features, assembly relationships, and design intent, making it difficult to recreate the exact original model.
The option "Increasing the heat exchange area for a heat exchanger" is NOT an advantage of using a lattice structure. Lattice structures are known for their lightweight properties, material-saving benefits, and simplified design and manufacturing processes.
However, increasing the heat exchange area for a heat exchanger is not typically associated with lattice structures. Heat exchangers usually rely on other design considerations, such as fin arrays or extended surfaces, to enhance heat transfer efficiency, rather than lattice structures.
Therefore, increasing heat exchange area is not a direct advantage of lattice structures.
Learn more about Vector click here :brainly.com/question/13322477
#SPJ11
Solve for n: 4^n+3 x 16^n - 8^3n
Answers
The expression 4^n+3 x 16^n - 8^3n cannot be solved for n
How to determine the solution of nfrom the question, we have the following parameters that can be used in our computation:
4^n+3 x 16^n - 8^3n
The question implies that we solve for n
This in other words mean that we determine the solution for n
The given parameter is an expression (not an equation or an inequality)
To solve for a variable, the given parameter must be an equation or an inequality
Hence, the value of n cannot be determined or it has infinite many solutions
Read mroe about expression at
https://brainly.com/question/15775046
#SPJ1
do you know how to bake a muffan
Answers
Answer:
yea by using a resipe
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
you need eggs, butter, flour, sugar, salt, oil (i prefer olive oil) and baking powder.
fruit if you like them in your sweets.
this makes 12 muffins
2 cups flour
3 tsps baking powder
1/2 tsp salt
3/4 cup sugar
1 egg
1 cup milk
1/4 cup oil
preheat oven. i usually do 350 F, increase the temperature if youd like them to cook faster but keep in mind youll need to check on them often with increased heat.
stir together your dry ingridents and in a seperate bowl beat your egg with a fork. stir in the milk and oil with the egg.
pour into your dry ingriedeints until everything is well mixed.
bake until golden
if you like fruit id suggest blueberries, 1 cup
suppose there is a 7-approxmiation algorithm for the general traveling salesman problem. then there exists a polynomial time solution for the 3-sat problem. True/False
Answers
The statement is true. To understand why, we need to look at the relationship between the traveling salesman problem (TSP) and the 3-satisfiability problem (3-SAT).
The TSP is a well-known NP-hard problem, which means that there is no known algorithm that can solve it in polynomial time. On the other hand, 3-SAT is also an NP-hard problem, but it is known to be solvable in polynomial time by using algorithms such as the Davis-Putnam-Logemann-Loveland (DPLL) algorithm.
Now, if there exists a 7-approximation algorithm for the TSP, it means that we can find a solution that is at most 7 times the optimal solution. This is a significant improvement over not having any polynomial time algorithm at all. In fact, there are many approximation algorithms for the TSP that are used in practice, such as the Christofides algorithm and the Lin-Kernighan heuristic. The connection between the TSP and 3-SAT comes from the fact that we can reduce the TSP to a special case of 3-SAT known as the Hamiltonian cycle problem. This means that if we can solve the TSP using a 7-approximation algorithm, we can also solve the Hamiltonian cycle problem using the same algorithm.
In summary, if there exists a 7-approximation algorithm for the TSP, then there exists a polynomial time solution for the 3-SAT problem. This is because the TSP can be reduced to the Hamiltonian cycle problem, which in turn can be reduced to 3-SAT. However, it is worth noting that the constant factor of 7 in the approximation algorithm for the TSP may be very large, and may not be practical for solving large instances of 3-SAT.
To know more about 3-satisfiability problem visit:-
https://brainly.com/question/15088390
#SPJ11
Slope of the line help
Answers
Answer:
The slope of the line is 1/1, or 1.
Step-by-step explanation:
Walk/run, or x/y. X axis is over 1 and y axis is up 1.
16. Let Kanika’s present age be x years. Complete this question
Mother’s age is 3 years less than that
of her father.
Answers
The expression for Kanika's mother's age, given Kanika's age and her father's is 32 + x .
How to express the age ?To find Kanika's mother's age, we need to first find Kanika's age in relation to her father's who is 35 years more than her age.
Her father's age is therefore:
= Kanika's age + 35
= x + 35
Kanika's mother is 3 years less than the father which makes it :
= x + 35 - 3
= x + 32
In conclusion, Kanika's mother's age when expressed in terms of Kanika's age, is x + 32 .
Find out more on age at https://brainly.com/question/29401049
#SPJ1
The first part of the question is:
Let Kanika's present age be x years. Her father's age exceeds her age by 35 years
Paul pent $72 on 4 day-lilie and 7 geranium. Megan pent $128 on 10 day-lilie and 11 geranium. Find the cot of one day-lily and the cot of one geranium
Answers
The cost of one day-Lilly is found to be $4 and the cost of one geranium is found to be $8. Therefore, Paul spent about $16 for day-Lilly and $56 for geranium. And Megan spent about $40 for day-Lilly and $88 for geranium.
Two or more algebraic equations that have a common variable and are solved simultaneously are referred to as simultaneous equations. We can find the answers to both unknowns if we have two separate equations with the same two unknowns in each. Here, we'll employ the addition-and-subtraction or elimination method.
Let's consider the cost of day-Lilly as x and the cost of geranium as y. The cost spent by Paul is written as 4x+7y=$72 and Megan is written as 10x+11y=$128.
Solving these two equations for x and y,
\(\begin{aligned}40x+70y = \$720\\\underline{40x+44y=\$512}\\26y=\$208\\y=\$8 \end{aligned}\)
Substitute the value of y in equation 4x+7y=$72 to get the value of x,
\(\begin{aligned}4x+7(8)&=\$72\\4x&=\$16\\x&=\$4\end{aligned}\)
The answers are $4 and $8.
To know more about simultaneous equations:
https://brainly.com/question/16763389
#SPJ4
On September 1st there are 5 bacteria in a jar. The population of bacteria doubles each day. How
much bacteria will be there at the end of the month
Answers
If its a 28 day month then 671088640
29 days 1342177280
30 days 2684354560
and 31 days 5368709120
What is the inverse you would use to solve this problem: c/2=16
Answers
Answer:
multiplication
Step-by-step explanation:
The average expenditure for hip replacement is $12,485 for country A and 14,438 for country B. the P value(two tailed) is 0.063. What do the data determine in this scenario? a. if average expenditure in country A can predict expenditure in country B b. if there is a relationship in average expenditure between the two countries c. if there is difference in average expenditure between the two countries d. if the average expenditure in country A and country B are normally distributed A sample of rural residents was surveyed to determine the number of times for residents saw a primary care provider in one year. On average, the participants saw their provider 3.3 times per year. ( 95% confidence interval 0.1 to 6.1 ) why was this of statistical use for this sample? a. It was a count variable b. It was a categorical variable c. It is a binary variable d. It is a ratio variable Administrators at a rural hospital want to determine causes for their financial distress. In doing so, they have identified that the average operating margin for a rural hospital is −1.32% (stander deviation is ±0.89% ) Why is the average operating margin appropriate to use in this situation? a. It is a measure of the fifth percentile b. it identifies the range of the data c. it identifies the outliers in the data d. it is a measure of central tendency Ebola is transmitted through human contact. although relief agencies sent medical team to provide treatment the impacted communities prefer to maintain isolation against outsiders. the distrust of outsiders 'cause a hesitancy to accept treatment. which consideration factor will ultimately contribute to the spread of Ebola? a. the influence of non-indigenous people b. the population density of the affected area c. dry and air climates which suits the virus d. the cultural influence of the community Last year a developing country had 1500 reported cases of malaria. during that time there were 400 deaths reported from the disease: 300 of the disease were people over age 18 , in 100 deaths were people underage 18 . What is the case fatality rate? 100∗100/400=25 400∗10/1500=2.67 100∗10/400=2.5 400∗100/1500=26.67
Answers
The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).
For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.
In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).
For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).
In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.
For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.
To learn more about “expenditure” refer to the https://brainly.com/question/935872
#SPJ11
Which of the following expressions is equal to 1 – cos4 θ? 1) 2sin2 θ – sin4 θ2) sin2 θ – sin4 θ3) -2sin2 θ – sin4 θ4) 2sin2 θ + sin4 θ
Answers
We have to remember that:
\(\cos ^2\theta=1-\sin ^2\theta\)Then we have that:
\(\begin{gathered} 1-\cos ^4\theta=1-(\cos ^2\theta)^2 \\ =1-(1-\sin ^2\theta)^2 \\ =1-(1-2\sin ^2\theta+\sin ^4\theta) \\ =2\sin ^2\theta-\sin ^4\theta \end{gathered}\)Therefore the answer is 1
How do I solve these measurement problems?
Answers
Answer:
- Reagan needs to purchase 1346 centimeters. I think it solve like this (238+435)×2 =1346 cm.
- what length of fringe does Raegan need for the longer bedspread? The answer is :
1346 + 27×2 = 1400 cm.
What if there are mistakes, hope you sympathy and forgiveness !!!
A family has a unique pattern in their tile flooring on the patio. An image of one of the tiles is shown.
A quadrilateral with a line segment drawn from the bottom vertex and perpendicular to the top that is 5 centimeters. The right vertical side is labeled 3 centimeters. The portion of the top from the left vertex to the perpendicular segment is 5 centimeters. There is a horizontal segment from the left side that intersects the perpendicular vertical line segment and is labeled 6 centimeters.
What is the area of the tile shown?
53 cm2
45.5 cm2
42.5 cm2
36.5 cm2
Answers
The area of the tile is: Option C: 42.5 cm².
How to finds the area of a trapezoid?A trapezoid is defined as a four-sided geometric shape with one pair of parallel sides. The two non-parallel sides are usually referred to as the "legs" and the other two sides are the "bases". A trapezoid can be either isosceles or non-isosceles depending on the angles of the legs. A trapezoid can also be equilateral if all four sides have equal lengths.
The formula for the area of a trapezoid is:
Area = ¹/₂ (base 1 + base 2) * height
In this case, we are given the parameters as:
Base 1 is 3 cm
Base 2 is 6 cm
The height is 5 cm.
Plugging these values into the equation, we get:
Area = ¹/₂(6 + 5) + 3) * 5 cm
Area = 42.5 cm². Therefore, the area of the tile is 42.5 cm².
Read more about Area of Trapezoid at: https://brainly.com/question/30948247
#SPJ1
Find the greatest possible error for each measurement. 1 1/4
Answers
Answer:
12 should be 1 as in 1 foot. 1' 1/4"
Step-by-step explanation:
The graph below can be used to solve which equation? 1x + 2– 5= -(x - 1)(x - 3) 8 5 x + 2 - 5 = (1 - 1)(x - 3) 3 2 1 2-21-5= -(2+1)(2+3) A 0 5 3 2 1 0 2 7 s 6 2 - 2 - 5 = -(-1)(2-3) 6 My Progress 355
Answers
Answer:
B
Step-by-step explanation:
The graph of function is |x + 2| – 5= -(x - 1)(x - 3) which is represented in the graph option first is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
As we can see in the graph, there are two graphs of a function shown.
First one is a graph of a mod function and second one is a graph of a quadratic equation.
|x + 2| – 5= -(x - 1)(x - 3)
f(x) = |x + 2| - 5
g(x) = -(x - 1)(x - 3)
Thus, the graph of function is |x + 2| – 5= -(x - 1)(x - 3) which is represented in the graph option first is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Question 13 options:
Isaac drops an apple from the top of a lighthouse, 154 feet above the ground.
The equation to represent the height of the apple at a given time is h=−16t2+154,
where h is the height of the apple, and t is the number of seconds after the apple is dropped.
How many seconds (t) will it take for the apple to hit the ground (h = 0)?
[Find the value of t, rounded to the nearest tenth.]
Answers
Answer:
3.1 sec.
Step-by-step explanation:
A system of two linear equations in two variables has no solution. What statement is accurate about these two linear equations?
Responses
The two linear equations never intersect.
The two linear equations never intersect.
The two linear equations graph the same line.
The two linear equations graph the same line.
The two linear equations do not cross the x-axis.
The two linear equations do not cross the x-axis.
The two linear equations do not cross the y-axis.
The two linear equations do not cross the y-axis.
The two linear equations intersect at exactly one point.
Answers
The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.
How many types of solution are there for two linear equations ?
There are 2 types of solution :
Consistent :
A consistent system is said to be an independent system if it has a single solution.
A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.
Non-consistent :
Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.
Learn more about solutions for linear equations using given link :
https://brainly.com/question/26310043
#SPJ1
The two linear equations never intersect.
When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.
If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.
It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.
learn more about distinct
https://brainly.com/question/32727893
#SPJ11
help me find this answer
Answers
Answer:
0
Step-by-step explanation:
lim = (x-3)(X+3) /
x - 3 (X+3)
lim = (X-3)
x - 3
lim = 3-3
x - 3
⁂ The answer is 0
A construction company can purchase nails for $5 per pound and screws for $7 per dozen. How many pounds of nails and how many dozen screws can the company buy if their budget is at most $200?
a) Let x be the pounds of nails and let y be the dozens of screws. Write an inequality that would model this
situation.
Answers
The inequality for the model of the situation is 200 ≤ 5x + 7y.
What is system of inequality?At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the answer of a linear inequality is the ordered pair that resolves all inequalities in the system.
Given that, let x be the pounds of nails and let y be the dozens of screws.
The equation for, nails for $5 per pound is given as:
5x
The equation for, screws for $7 per dozen is given as:
7y
If their budget is at most $200, then the inequality representing the nails and the screws is:
200 ≤ 5x + 7y
Hence, the inequality for the model of the situation is 200 ≤ 5x + 7y.
Learn more about system of inequality here:
https://brainly.com/question/19526736
#SPJ1
10 POINTS AND BRAINLEST
In order for the bug to fly through the air, a force has to push the bug forward. Identify this force. _______
The driver hates killing bugs. When she saw one coming toward the windshield, she braked suddenly and hoped the bug would get out of the way. (Sadly, it did not. ) When she hit the brakes, she felt that she was thrown forward. Use one of Newton’s Laws to explain why she felt that she was thrown forward.
A) The unfortunate bug hits the windshield with a force of 1 N. If you call this the action force, what is the reaction force?
B) Does the car hit the bug any harder than the bug hits the car? Use one of Newton’s laws to explain why or why not
Answers
A) The reaction force to the bug hitting the windshield with a force of 1 N is a force of 1 N in the opposite direction, which is the force of the windshield hitting the bug.
B) The bug hits the car with the same force as the car hits the bug.
The force that pushes the bug forward through the air is the force of its wings flapping or propelling it forward.
When the driver hit the brakes suddenly, according to Newton's First Law of Motion, an object in motion (the driver) tends to stay in motion with the same speed and Unless influenced by an outside factor, they always move in the same direction. In this case, the external force is the sudden braking of the car, which caused the driver's body to continue moving forward at the same speed as the car before the braking occurred. However, the car's sudden deceleration caused the driver to stop moving forward while the car continued to move forward, resulting in the sensation of being thrown forward.
A) According to Newton's Third Law of Motion, for every action, there is an equal and opposite reaction. Therefore, the reaction force to the bug hitting the windshield with a force of 1 N is a force of 1 N in the opposite direction, which is the force of the windshield hitting the bug.
B) According to Newton's Third Law of Motion, the bug hitting the car with a force of 1 N exerts an equal and opposite reaction force of 1 N on the bug, which is the force of the car hitting the bug. Therefore, the bug hits the car with the same force as the car hits the bug.
for such more question on force
https://brainly.com/question/30264387
#SPJ4
Of 600 students sampled, 480 said they hoped to own a house someday. with 68% confidence, what is the approximate percentage of the students in the population who hope to own a house someday?
Answers
The approximate percentage of students who hope to own a house someday is between 78.4% and 81.6% calculated at a 68% confidence.
What is confidence level in statistics?
A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. At a chosen confidence level, a confidence interval is calculated.
From the given question, we can write
The proportion of students who hope to own a house p' = \(\frac{480}{600}\) = \(\frac{4}{5}\) = 0.8
The proportion of students who does not hope to own a house q' = 1-p'
= 1-0.8=0.2
Since the requested confidence level is CL = 0.68, then
\(\frac{\alpha }{2}\) = 0.68/2 = 0.32
\(z_{\frac{\alpha }{2} }\) = 0.92 ( From standard normal distribution table)
So, approximate percentage is
p' - \(z_{\frac{\alpha }{2} }\)\(\sqrt{\frac{p'q'}{n} }\) ∠ p ∠ p' + \(z_{\frac{\alpha }{2} }\)\(\sqrt{\frac{p'q'}{n} }\) ( n is the total population)
= 0.8 - 0.92\(\sqrt{\frac{0.8 * 0.2}{600} }\) ∠ p ∠ 0.8 + 0.92\(\sqrt{\frac{0.8 * 0.2}{600} }\)
= 0.784 ∠ p ∠ 0.816
Therefore the approximate percentage of students who hope to own a house someday calculated at a 68% confidence is between 78.4% and 81.6%.
To learn more about confidence level, follow the link.
https://brainly.com/question/15712887
#SPJ4
the height of a seat on a Ferris wheel can be modeled as H(t)=47 sin((pi/30)t+(3pi/2))+52 where t is the time in seconds and H(t) is height in feet. how far off the ground is a seat when it is at the top of the ferris wheel.
Answers
The seat is 99 feet off the ground when it is at the top of the Ferris
wheel.
The height of a seat on a Ferris wheel can be modeled by the function H(t) = 47 sin((π/30)t + (3π/2)) + 52, where t is the time in seconds and H(t) is the height in feet.
To find how far off the ground the seat is when it is at the top of the Ferris wheel, we need to find the maximum value of the function. We know that the sine function has a maximum value of 1, which occurs when the input to the function is (π/2) + kπ, where k is an integer.
Since the input to our function is ((π/30)t + (3π/2)), we need to solve for t when this expression is equal to (π/2) + kπ.
((π/30)t + (3π/2)) = (π/2) + kπ
Multiplying both sides by 30, we get:
πt + 45π = 15π + 30kπ
Subtracting 15π from both sides and simplifying, we get:
t = 30k - 30
This means that the function H(t) will have a maximum value every 30 seconds. To find the maximum height, we can substitute t = 30k - 30 into the function:
H(30k - 30) = 47 sin((π/30)(30k - 30) + (3π/2)) + 52
Simplifying, we get:
H(30k - 30) = 47 sin(kπ - π/2) + 52
Since sin(kπ - π/2) =\((-1)^k\), we can write:
H(30k - 30) =\(52 - 47(-1)^k\)
When k is even, H(30k - 30) is at its maximum height of 99 feet (52 + 47).
For such more questions on feet
https://brainly.com/question/876758
#SPJ8
Explain the relationship between the measure of the inscribed angle and measure of the arc subtends it.
Answers
—The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
The measure of an inscribed angle is half the measure of the intercepted arc. That is, m∠ABC=12m∠AOC. This leads to the corollary that in a circle any two inscribed angles with the same intercepted arcs are congruent.