A rocket is fired vertically upward from the ground with an initial velocity of 560 ft/sec . The equation of motion is S = 2t’ – 312 – 12t+8 1. How high the rocket will go and how long it takes the rocket to reach its highest point? 2. Find the instantaneous velocity of the rocket at 10 sec and 25 sec. 3. Find the speed of the rocket at 10 sec and 25 sec. 4. Find the speed of the rocket when it reaches the ground.
Answers
The required answerers are:
1. The rocket will reach a maximum height of 261 feet above the ground.
2. The instantaneous velocity of the rocket at 10 seconds is 8 ft/sec, and at 25 seconds is 38 ft/sec.
3. The speed of the rocket at 10 seconds is 8 ft/sec, and at 25 seconds is 38 ft/sec.
4. The rocket reaches the ground approximately 11.07 seconds after it was launched,and the speed is -10ft/sec
The equation of motion for the rocket is given as:
S = 2t' – 312 – 12t + 81
To find how high the rocket will go, and to determine the maximum value of S. Since the equation is quadratic, we can find the vertex of the parabolic curve, which represents the highest point of the rocket's trajectory.
The vertex of a quadratic equation in the form of \(S = at^2 + bt + c\) is given by the formula:
\(t_{vertex} = -b / (2a)\)
In our case, a = 2 and b = -12. Substituting these values into the formula, we have:
\(t_{vertex} = -(-12) / (2 * 2) = 12 / 4 = 3\) seconds
To find the maximum height, substitute t = 3 into the equation:
\(S_{max} = 2(3)' -312- 12(3) + 81\)
\(S_{max} = 6 - 312 - 36 + 81\)
\(S_{max} = -261 feet\)
Therefore, the rocket will reach a maximum height of 261 feet above the ground.
To find how long it takes the rocket to reach its highest point, we have already determined that it occurs at t = 3 seconds.
To find the instantaneous velocity of the rocket at 10 seconds and 25 seconds, and to find the derivative of the equation of motion with respect to time.
Velocity (V) is the derivative of displacement (S) with respect to time (t). Taking the derivative of the equation \(S = 2t' - 312 -12t + 81\), we get:
Substituting t = 10 and t =25 into the equation, gives:
\(V = dS/dt = 2t'-12\)
\(V(10) = 2(10)' - 12 = 20 - 12 = 8 ft/sec\)
\(V(25) = 2(25)' - 12 = 50 -12 = 38 ft/sec\)
Therefore, the instantaneous velocity of the rocket at 10 seconds is 8 ft/sec, and at 25 seconds is 38 ft/sec.
To find the speed of the rocket at 10 seconds and 25 seconds, take the absolute value of the instantaneous velocity.
Speed is the absolute value of velocity. Therefore:
Speed(10) = |V(10)| = |8| = 8 ft/sec
Speed(25) = |V(25)| = |38| = 38 ft/sec
Thus, the speed of the rocket at 10 seconds is 8 ft/sec, and at 25 seconds is 38 ft/sec.
4. To find the speed of the rocket when it reaches the ground, we need to determine the time at which the rocket hits the ground. This occurs when the displacement (S) is equal to zero.
The equation of motion for the rocket is given as:
S = 2t' -312 -12t + 81
Setting S = 0, we can solve for t:
2t'-312- 12t + 81 = 0
Simplifying the equation:
2t'- 12t - 231 = 0
To solve this quadratic equation, use the quadratic formula:
t = (-b ± \(\sqrt{b^2 - 4ac}\)) / (2a)
In this case, a = 2, b = -12, and c = -231. Substituting these values into the quadratic formula, we have:
t = (-(-12) ± \(\sqrt{(-12)^2 - 4(2)(-231)}\)) / (2 * 2)
t = (12 ±\(\sqrt{144 + 1848}\)) / 4
t = (12 ± \(\sqrt{1992}\)) / 4
Since we are interested in the positive value of t (time cannot be negative), take the positive square root:
t = (12 + \(\sqrt{1992}\)) / 4
Calculating the value of t, we have:
t ≈ 11.07 seconds
Therefore, the rocket reaches the ground approximately 11.07 seconds after it was launched.
To find the speed of the rocket when it reaches the ground, we need to calculate the velocity at t = 11.07 seconds. Taking the derivative of the equation of motion, gives:
V = dS/dt = 2t' – 12
Substituting t = 11.07 into the equation, gives:
V(11.07) = 2(11.07)' – 12
V(11.07) ≈ 2(1) – 12
V(11.07) ≈ 2 – 12
V(11.07) ≈ -10 ft/sec
The negative sign indicates that the rocket is moving downward. Therefore, the speed of the rocket when it reaches the ground is approximately 10 ft/sec in the downward direction.
Hence, the required answerers are:
1. The rocket will reach a maximum height of 261 feet above the ground.
2. The instantaneous velocity of the rocket at 10 seconds is 8 ft/sec, and at 25 seconds is 38 ft/sec.
3. The speed of the rocket at 10 seconds is 8 ft/sec, and at 25 seconds is 38 ft/sec.
4. The rocket reaches the ground approximately 11.07 seconds after it was launched,and the speed is -10ft/sec
Know more about maximum height, speed and velocity here:
https://brainly.com/question/14672275
#SPJ4
Related Questions
Under her cell phone plan, Nayeli pays a flat cost of $41.50 per month and $5 per gigabyte. She wants to keep her bill under $50 per month. Write and solve an inequality which can be used to determine g, the number of gigabytes Nayeli can use while staying within her budget.
Answers
The inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is x < 1.7
How to write and solve an equation which can be used to determine the number of gigabytes?The given parameters are
Flat cost = $41.50
Rate = $5 per gigabyte
Budget = Under $50
The equation is represented as:
Total cost = Flat cost + Rate * Number of gigabyte
So, we have
y = 41.5 + 5x
The budget is under 50
So, we have
41.5 + 5x < 50
Subtract 41.5 from both sides
5x < 8.5
Divide by 5
x < 1.7
Hence. the inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is x < 1.7
Read more about linear equations at:
brainly.com/question/14323743
#SPJ1
The ADL(p, q) model is represented by the following equation: A. Yt Bo + B1 Yt-1 + B₂Yt-2+...+ BpYt-p+ Squt-q O B. Yt= Bo + B₁ Yt-1 + B₂Yt-2 + ... + BpYt-p+ S0 + $₁Xt-1 + Ut-q O C. Yt = Bo + BpYt-p+ Saxt-q+ Ut O D. Yt= Bo + B₁ Yt-1 + B₂Yt-2 + ... + BpYtp + 1 Xt-1 + $₂Xt-2 + ... + SqXt-q+ Ut.
Answers
The equation representing the ADL(p, q) model is given by:
D. Yt = Bo + B₁Yt-1 + B₂Yt-2 + ... + BpYtp + 1Xt-1 + $₂Xt-2 + ... + SqXt-q + Ut.
In this equation, Yt represents the dependent variable at time t, Bo is the constant term, B₁ to Bp are the coefficients of the lagged values of Y, and Xt-1 to Xt-q are the independent variables at time t and their lagged values. The coefficients $₁ and $₂ represent the effect of the lagged values of Xt-1 and Xt-2, respectively. Sq denotes the coefficient for the q-th lagged value of Xt, and Ut represents the error term.
This equation captures the autoregressive distributed lag (ADL) model, which is commonly used in econometrics to analyze the relationship between a dependent variable and its lagged values, as well as other independent variables. The ADL(p, q) model allows for the inclusion of both lagged dependent variables and lagged independent variables, which helps capture the dynamic nature of the relationships.
The ADL(p, q) model is a widely used econometric model that incorporates both lagged dependent variables and lagged independent variables. It allows researchers to analyze the impact of past values of the dependent variable, as well as other relevant independent variables, on the current value of the dependent variable. By including lagged terms, the ADL(p, q) model accounts for the dynamic nature of economic processes and helps uncover long-term relationships.
The model equation consists of several components. The term Bo represents the constant or intercept term, which captures the baseline level of the dependent variable. The coefficients B₁ to Bp represent the effects of the lagged values of the dependent variable, Y, up to p lags. These coefficients indicate how much the current value of Y is influenced by its past values.
Additionally, the equation includes the term SqXt-q, where Sq is the coefficient for the q-th lagged value of the independent variable, Xt. This term allows for the inclusion of lagged independent variables, which can capture the impact of past values of the independent variable on the dependent variable.
The coefficients $₁, $₂, and so on represent the effects of the lagged values of the independent variable, Xt, on the dependent variable. These coefficients capture the contemporaneous relationships between the independent variable and the dependent variable.
Finally, the error term, Ut, represents the unexplained variation in the dependent variable that is not accounted for by the model. It captures the random shocks or other factors that influence the dependent variable but are not explicitly included in the equation.
In summary, the ADL(p, q) model is a versatile econometric model that allows for the analysis of both lagged dependent variables and lagged independent variables. It provides a framework for understanding the dynamic relationships between variables and is widely used in empirical economic research.
To know more about the ADL(p, q) model, refer here:
https://brainly.com/question/31644438#
#SPJ11
Which angles are adjacent to each other?
Answers
Answer:
Two angles are Adjacent when they have a common side and a common vertex and don't overlap.
Step-by-step explanation:
Hope this helps, can't see your angles lol!
pls answer this question
Answers
Answer:
Step-by-step explanation:
The answer is C
We have to think about what size 0 would look like, if we observe the change between each figures we can find out the figure grows 4 every time, so we know it's always 4 each time. If we take figure 1 and remove all it's 4 green block it will be just left with 1 yellow block, which is figure 0, we have to add 1 every time we increase the size by 1.
suppose cars pass third street according to a poisson process with a rate of 10 cars per minute. frank wants to cross the street. he waits until there is no car come in the next 5 seconds. what is his expected waiting time?
Answers
The expected waiting time for Frank, who wants to cross the street when no cars are coming, can be calculated based on the rate of car arrivals in a Poisson process. He will wait for around 0.41 seconds
With a rate of 10 cars per minute, we need to determine the average time it takes for no cars to arrive within a 5-second interval.To find expected waiting time, we can utilize the exponential distribution, which is often used to model the time between events in a Poisson process. In this case, the time between car arrivals follows an exponential distribution with a rate of 10 cars per minute, which translates to a mean inter-arrival time of 1/10 minute or 6 seconds.
Since Frank waits for 5 seconds, there is a probability that no cars arrive within this time. The probability can be calculated using the exponential distribution's cumulative distribution function. The probability of no cars arriving within 5 seconds is given by e^(-λt), where λ is the rate and t is the time interval. Therefore, the probability of no cars arriving within
5 seconds is e^(-10 * 5/60) ≈ 0.082.
To calculate the expected waiting time, we multiply the probability of no cars arriving within 5 seconds by the length of the
time interval: 0.082 * 5 = 0.41 seconds.Therefore, Frank's expected waiting time is approximately 0.41 seconds. This means that on average, he will wait for around 0.41 seconds until no cars pass Third Street.
To learn more about Poisson process click here : brainly.com/question/30908424
#SPJ11
Find the measure of C from the circle below:
Answers
Answer:
Step-by-step explanation:
Sddviwedcbhbdciuasdlasadc
Answer:
142
Step-by-step explanation:
Okay look here, I'm not always accurate! But I am mature, I do algebra so I might be accurate, but I'm not always accurate.
f(x) < 0 over the interval (–[infinity], –4) f(x) < 0 over the interval (–[infinity], –3) f(x) > 0 over the interval (–[infinity], –3) f(x) > 0 over the interval (–[infinity], –4)
Answers
Based on the given information, we can confidently say that f(x) < 0 over the interval (-∞, -4).
To determine the intervals where f(x) is greater than or less than 0, we need to analyze the given intervals.
For the first statement, f(x) < 0 over the interval (-∞, -4), we conclude that the function is negative for all x-values less than -4. This means that the function's graph will be below the x-axis in that interval.
For the second statement, f(x) < 0 over the interval (-∞, -3), we cannot directly conclude that the function is negative in this interval. It may be positive, zero, or negative. The given information is not sufficient to determine the behavior of the function in this specific interval.
For the third statement, f(x) > 0 over the interval (-∞, -3), we also cannot determine the behavior of the function based on the given information. It may be positive, zero, or negative in this interval.
For the fourth statement, f(x) > 0 over the interval (-∞, -4), we can conclude that the function is positive for all x-values less than -4. This means that the function's graph will be above the x-axis in that interval.
Based on the given information, we can confidently say that f(x) < 0 over the interval (-∞, -4). However, we cannot determine the behavior of the function in the other intervals (-∞, -3) and (-∞, -4) without further information.
To know more about Intervals, visit
https://brainly.com/question/30460486
#SPJ11
In a certain country, a telephone number consists of six digits with the restriction that the first digit cannot be 8 or 7. Repetition of digits is permitted. Complete parts (a) through (c) below. a) How many distinct telephone numbers are possible?
Answers
The number of distinct telephone numbers possible given the restriction is 800,000.
Given that :
A telephone number consists of six digits.The first digit cannot be 8 or 7.Number of distinct Telephone NumbersFor the first digit, there are 8 options available (digits 0-6 and 9, excluding 7 and 8).
For the remaining five digits (second to sixth), there are 10 options available for each digit (digits 0-9).
Therefore, the total number of distinct telephone numbers possible can be calculated by multiplying the number of options for each digit:
Total number of distinct telephone numbers = 8 * 10 * 10 * 10 * 10 * 10 = 8 * 10⁵ = 800,000
Hence, there are 800,000 distinct telephone numbers possible in this country.
Learn more on combination: https://brainly.com/question/4658834
#SPJ4
PLEASEEEEE help I don’t know what to put!!!!
Answers
Also can I please have Brainliest??
Only if I'm right of course...
what is this area? marking brainliest
Answers
Answer:
57in^2
Step-by-step explanation:
Divide the shape into 2 recatngles.
Imagine a line cuts away a rectangle of length 12in by width 4in. from a square of length (12-9)in. and width (7-4)in
This gives you 2 different shapes
Find their area
Rectangle one has an area of = 12in x 4in = 48in^2
Square has an area of = (12-9) in x (7-4) in = 3x 3 inch = 9in.^2
Find their sum to find the area of the whole compound shape:
48+9 = 57in^2
Hope this helps
Find the value of F (5)
Answers
Using the slope of graph, we can find the value of F(5) to be = 12.
Define slope of graph?The slope of a line is determined by taking the tangent of the angle it forms with the x-axis. The slope of a straight line remains constant over time.
Y = mx + b can be used to calculate a straight line's slope-intercept form. The slope is denoted by the letter m and can be calculated as follows:
m = tanθ = (y2 - y1)/ (x2 - x1)
y = f(x)
y = (x-2) ² + 3
Now when x = 5,
y = (5-2) ² + 3
= 3² + 3
= 9 + 3
= 12
To know more about slope of graph, visit:
https://brainly.com/question/29283638
#SPJ1
A rhombus, which is a quadrilateral with 4 equal sides, is plotted on the coordinate plane. The coordinates of the vertices are (2, 0), (7, 0), (5, 4), and (10, 4). How long is each side of the rhombus?.
Answers
Answer:
5 units
Step-by-step explanation:
You want to know the side length of the rhombus with vertices (2, 0), (7, 0), (5, 4), and (10, 4).
Side lengthYou can find the length of the horizontal edges by counting the grid squares, or by subtracting the x-coordinates:
7 -2 = 5
10 -5 = 5
The slanted sides are each the hypotenuse of a 3-4-5 right triangle, so are also 5 units long. (You expect all of the sides of the rhombus to be the same length.)
Each side is 5 units long.
The answer is 5, 4.47, 5, and 8.94.
Step 1: Determine the length of the sides using the distance formula.The distance formula is d = √(x2-x1)^2 + (y2-y1)^2
Step 2: Calculate the length of the first side. To do this, plug in the coordinates for the two points that make up the first side into the distance formula. This side is formed by the points (2, 0) and (7, 0).d = √(7-2)^2 + (0-0)^2
d = √(5)^2 + (0)^2
d = √(25) + (0)
d = 5
Step 3: Calculate the length of the second side. To do this, plug in the coordinates for the two points that make up the second side into the distance formula. This side is formed by the points (7, 0) and (5, 4).d = √(5 - 7)^2 + (4 - 0)^2
d = √(-2)^2 + (4)^2
d = √4 + 16
d = √20
d = 4.47
Step 4: Calculate the length of the third side. To do this, plug in the coordinates for the two points that make up the third side into the distance formula. This side is formed by points (5, 4) and (10, 4).d = √(10 - 5)^2 + (4 - 4)^2
d = √25 + 0
d = 5
Step 5: Calculate the length of the fourth side. To do this, plug in the coordinates for the two points that make up the fourth side into the distance formula. This side is formed by the points (10, 4) and (2, 0).d = √(2 - 10)^2 + (0- 4)^2
d = √(-8)^2 + (-4)^2
d = √64 + 16
d = √80
d = 8.94
Therefore, each side of the rhombus has a length of 5, 4.47, 5, and 8.94.
Learn more about Rhombus:
brainly.com/question/19589372
Given that \tan\theta =\frac{12}{35}tanθ= 35 12 and that angle \thetaθ terminates in quadrant \text{III}III, then what is the value of \cos\thetacosθ?
Answers
Answer:
\(cos\theta = -\frac{12}{37}\)
Step-by-step explanation:
Given
\(tan\theta = \frac{35}{12}\)
Quadrant: 3rd
Required
Determine \(cos\theta\)
This question will be solved using the Pythagoras theorem
\(Hyp^2 = Adj^2 + Opp^2\)
The tangent of an angle is calculated as thus;
\(tan\theta = \frac{Opp}{Adj}\)
Comparing
\(tan\theta = \frac{35}{12}\) to \(tan\theta = \frac{Opp}{Adj}\)
We can conclude that
\(Opp = 35\) \(Adj = 12\)
Substitute these values in the Pythagoras formula
\(Hyp^2 = 35^2 + 12^2\)
\(Hyp^2 = 1225 + 144\)
\(Hyp^2 = 1369\)
Square root of both sides
\(Hyp = \sqrt{1369}\)
\(Hyp = 37\)
SInce \(\theta\) is in the 3rd quadrant, then
\(cos\theta = -\frac{Adj}{Hyp}\)
Where \(Adj = 12\) and \(Hyp = 37\)
\(cos\theta = -\frac{12}{37}\)
A car leaves Leeds for Newcastle 160 kilometres away at 1:00pm. If it averages 50 kmph,what time will it arrive in Newcastle?
Answers
Answer:
To calculate the estimated arrival time in Newcastle, we need to divide the distance by the average speed of the car.
Given that the distance from Leeds to Newcastle is 160 kilometers and the car averages 50 km/h, we can use the formula:
Time = Distance / Speed
Time = 160 km / 50 km/h
Time = 3.2 hours
Now, we need to add this time to the departure time of 1:00 PM:
1:00 PM + 3.2 hours = 4:12 PM
Therefore, the car will arrive in Newcastle at approximately 4:12 PM.
If a car traveling at an average speed of 50 kmph covers a distance of 160 kilometres, it would take approximately 3.2 hours. So, leaving at 1:00 pm, it would arrive by about 4:12 pm.
Explanation:The question involves calculating the time taken for a journey using the average speed formula. The average speed is calculated by dividing the total distance by the total time. In this case, the total distance is 160 kilometres and the average speed is 50 kmph.
If a car averages 50 kmph for a journey of 160 kilometers, it would take 160 / 50 = 3.2 hours. So, if the car leaves Leeds at 1:00 pm, it would arrive in Newcastle at approximately 1:00 pm + 3.2 hours = 4:12 pm.
Learn more about Travel Time Calculation here:https://brainly.com/question/31968759
#SPJ11
A photographer has a print that is 3.5 inches wide and 2.5 inches tall. If the photographer enlarges the print so that it is 7 inches wide, how tall will it be?
5 inches
6 inches
8 inches
12 inches
Answers
Answer:
5 inches
Step-by-step explanation:
3.5 × 2 = 7
So, you have to multiply 2.5 by 2 which is 5
Answer:
A.5in
Step-by-step explanation:
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane.
Answers
The volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane is V = xyz, where x, y, and z are the lengths of the sides of the rectangular box.
To find the largest volume, we need to maximize x, y, and z. Since we have three faces in the coordinate planes, one vertex will be at the origin (0, 0, 0). The other two vertices will lie on the coordinate axes.
Let's assume the vertex on the x-axis is (x, 0, 0), and the vertex on the y-axis is (0, y, 0). The third vertex on the z-axis will be (0, 0, z). Since the box is in the first octant, all the coordinates must be positive.
To maximize the volume, we need to find the maximum values for x, y, and z within the constraints. The maximum values occur when the box touches the coordinate planes. Therefore, the maximum values are x = y = z.
Substituting these values into the volume formula, we get V = xyz = x³. Therefore, the volume of the largest rectangular box is V = x³.
Learn more about constraints here
brainly.com/question/32387329
#SPJ11
What is the maximum volume of a rectangular box situated in the first octant, with three of its faces lying on the coordinate planes, and one of its vertices located in the plane?
a rectangular parking lot is 67.5 ft wide and 148 ft long. what is the area of the parking lot in square meters?
Answers
The area of the rectangular parking lot is 929.03 square meters.
Use the formula for the area of a rectangle to calculate the area of the rectangular parking lot, which is given as:
Area = length × width
We know that the parking lot is 67.5 ft wide and 148 ft long, the area can be calculated as follows:
Area = 67.5 ft × 148 f
t= 9990 sq. ft
However, the question asks for the area in square meters, so we need to convert square feet to square meters. 1 square foot is equal to 0.092903 square meters, so we can use this conversion factor to convert square feet to square meters.
Area in square meters = Area in square feet × 0.092903
= 9990 sq. ft × 0.092903
= 929.03 sq meters
Therefore, the area is 929.03 square meters.
Learn more about rectangular https://brainly.com/question/32444543
#SPJ11
If a test consists of a list of questions that can be answered yes or no, true or false, or on a numeric scale, and especially if the test uses a computer-scored answer sheet, then it is what kind of test
Answers
If a test consists of a list of questions that can be answered yes or no, true or false, or on a numeric scale, and especially if the test uses a computer-scored answer sheet, then it is a multiple-choice test.
A multiple-choice test is an assessment tool that is widely used in education to assess students' knowledge and skills. It consists of a list of questions or items that have a stem, or question, and several possible answers, only one of which is correct.
A multiple-choice test may ask students to select the best answer, fill in the blank, or select from a list. It's a popular type of test because it's quick to grade and can cover a wide range of topics. It's also useful for gauging whether students understand basic concepts and can apply them correctly.
Multiple-choice tests are often scored by machine, which is why they're particularly useful for large classes. Answer sheets are marked by machine, and the results are tabulated, making it easier for teachers to get results quickly and accurately.
To learn more about multiple-choice test: https://brainly.com/question/28250294
#SPJ11
Find the equation of the line that contains the point (2,−4) and is perpendicular to the line x=3. Write the line in slope-intercept form, if possible. Graph the lines.
Answers
Answer:
y = - 4 = equation
Step-by-step explanation:
y + 4 = 0 (x - 2)
y + 4 = 0x + 0
y (+ 4 - 4) = 0x + (0 - 4)
y = - 4
(I added the graph link)
How do I solve a Quadratic Equation using Completing the Square method
Please keep it short and brief like if you were explaining it to someone who just randomly came up to you and asked you irl
Answers
Answer:
Step 1 Divide all terms by a (the coefficient of x2).
Step 2 Move the number term (c/a) to the right side of the equation.
Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
Step-by-step explanation:
Hailey is making pizzas for a pizza party. Each pizza requires 1/2 pound of cheese. How many pounds of cheese does she need to make 19 pizzas? Express your answer in simplest form.
Answers
Cheese required for 1 pizza = ½ pound
So, cheese required for 19 pizzas
= 19 × ½ pounds
= 19/2 pounds
= 9½ pounds
So, Hailey needs 9½ pounds of cheese to make 19 pizzas.
The solution is 9.5 pounds
The number of pounds of cheese Hailey need to make 19 pizzas is 9.5 pounds
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of pounds of cheese for 19 pizzas be A
Now , the equation will be
The number of pounds of cheese for 1 pizza = 1/2 pounds
So , the number of pounds of cheese for 19 pizzas = 19 x number of pounds of cheese for 1 pizza
Substituting the values in the equation , we get
The number of pounds of cheese for 19 pizzas = 19 x ( 1/2 )
The number of pounds of cheese for 19 pizzas = 19/2
The number of pounds of cheese for 19 pizzas = 9.5 pounds
Therefore , the value of A is 9.5 pounds
Hence , the number of pounds of cheese is 9.5 pounds
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
the minimax regret criterion is also referred to by economists as:
Answers
The minimax regret criterion, also known as the minimax regret strategy, is an approach used in decision theory by economists. It aims to minimize the maximum regret that could be experienced when choosing a particular course of action.
The minimax regret criterion is a decision-making technique that takes into account the potential regret associated with each possible decision. It recognizes that decision-makers often face uncertainty and that their choices may lead to outcomes that are different from what was initially expected. By considering the worst-case scenario or maximum regret for each decision, the minimax regret criterion helps decision-makers select the option that minimizes the potential regret.
In this approach, decision-makers evaluate the consequences of their choices by comparing the actual outcome with the best outcome that could have been achieved if a different decision had been made. The minimax regret strategy focuses on minimizing the maximum regret across all possible decisions, aiming to choose the option that would result in the least regret, regardless of the actual outcome.
Economists often use the minimax regret criterion to analyze decision problems under uncertainty, particularly when the consequences of different actions cannot be precisely predicted. It provides a framework for decision-making that incorporates risk aversion and the desire to minimize the potential for regret. By considering the worst possible outcomes, decision-makers can make more informed choices that take into account the potential regrets associated with their decisions.
Learn more about outcomes here:
https://brainly.com/question/17238771
#SPJ11
one method of conducting a survey involves selecting a sampling of a representative group of people. true false
Answers
It is true that one method of conducting a survey involves selecting a sampling of a representative group of people. This is called survey sampling.
Survey sampling is defined as a statistical method that involves selecting and surveying individuals from a particular group of people. The population that is chosen to survey could be based on a range of attributes. The target audience could be a general group like the United States' population or a more specific group, like young adults, voters in California, or male pet owners from New England.
Survey sampling involves three steps, which are:
sample selection: what group of people to include in one's sample,data collection: collecting data from the sample's answers, andestimation: the estimation about the general population using statistical calculations.Learn more about survey at https://brainly.com/question/19637329.
#SPJ4
Please help!! I need it now please!!
This is my last points I really need to know the answer please
Please make sure that it’s the correct answer pleasseeee!!
Answers
Answer:
\(\sqrt{98}\) (D)
Step-by-step explanation:
The line we are looking at can be viewed as the hypotenuse of a triangle with the corner side of the rectangular prism being one side, and the center of the base of the rectangular prism being the other side.
To find the length of the side along the bottom, we need to find the hypotenuse of a triangle with side lengths 3 units and 5 units. The hypotenuse is a²+b² which equals c² (c being the hypotenuse).
3² + 5² = c²
9 + 25 = 34
c = \(\sqrt{34}\)
one of our sides (lets call this side a) is \(\sqrt{34}\),
and we know the height of the rectangle to be 8 units, so, our second side will be 8 (lets call this side b)
(\(\sqrt{34}\))² + 8² = c²
34 + 64 = c²
98 = c²
\(\sqrt{98}\) = \(\sqrt{c^2}\)
\(\sqrt{98}\) = c
so, the distance from one corner on the bottom base to the opposite corner on the top base is \(\sqrt{98}\)
Express your answer in scientific notation. 6.4 * 10^5 + 36,000 =
Answers
Answer:
6.76x10^5
^ represents to the 5th power
Step-by-step explanation:
1
Solve the following. Put your answer in the yellow box. If your answer is correct, it will turn green.
1) -8(-3m - 3)=-96
6) 7k - 35 = 5(1 + 2K) + 2k
11) 5(1 – 2x) = 1 +3(6x-8)
2
7) 4+2b = 5 + 5lb + 4)
12) 2(8x – 4) = 4(3x-4)
2) -2 + 8(6+ 3) = 86
3) -2(1 - 8r) = -82
8) 7k- 10 = -8 -4k + 6
13) -6(2x - 3)=-2(8x - 1)
5
4) -5(5 – 3v) = -115
9) -16 +8m = -m - 7(-6 + 7m)
14) 5(p-1)=-(-6-4p)
6
5) -8(–2 - 7r) = -208
10) -7x - 8 = x -8(1 - 5x)
15) -6(8 +4n) = 2(1 – 7n)
7
8
9
10
11
12
13
14
15
16
Answers
Answer:
8
Step-by-step explanation:
the 5AM 7766inches and the 5433333333 or an 33rd 333333 hour flight w33 4 9769 for3to daga-/=8--/#9
In the coordinate plane, the points X (3, 6), Y (−7, 8), and Z (−11, 2) are reflected over the y-axis to the points X′, Y′, and Z′, respectively. What are the coordinates of X′, Y′, and Z′?
Answers
Answer:
X'= (-3,6)
Y'=(7,8)
Z'=(11,2)
Step-by-step explanation:
when a point is reflected over the y axis, (x,y) becomes (-x,y). so the x value is just multiplied by -1
Answer:
X′(−3, 6), Y′(7, 8), Z′(11, 2)
Step-by-step explanation:
Imagine you are a spy who needs to infiltrate a secret base located at the origin of the coordinate plane. You have three accomplices, X, Y, and Z, who are waiting for you at different points on the plane. X is at (3, 6), Y is at (-7, 8), and Z is at (-11, 2). You have a device that can reflect any point over the y-axis, which you plan to use to confuse the enemy guards. You decide to reflect X, Y, and Z over the y-axis to create X', Y', and Z', respectively. What are the coordinates of these new points?
To find the coordinates of X', you simply change the sign of the x-coordinate of X. So, X' is at (-3, 6). Similarly, to find the coordinates of Y' and Z', you change the sign of the x-coordinates of Y and Z. So Y' is at (7, 8) and Z' is at (11, 2). Now you have three new points that are symmetric to the original ones over the y-axis.
But wait! There's a problem. The enemy guards have noticed that something is wrong. They see four points on their radar: one at the origin (you) and three on the right side of the y-axis (X', Y', and Z'). They realize that these points are reflections of some other points on the left side of the y-axis. They quickly deduce that there must be a spy among them. They start searching for you.
You need to act fast. You use your device again to reflect yourself over the y-axis. This creates a new point at (-0, 0), which is exactly the same as (0, 0). You have effectively disappeared from their radar. You sneak into the base while they are busy looking for you on the wrong side of the plane.
You have successfully completed your mission. Congratulations! You are a master of reflections.
✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧
The line from “The Shell” that has the "ta da ta ta da" rhythm pattern is line (blank)
options: 1 2 3
The Shell
A secret whorl
of pink and cream.
The sound of the sea--
a child's dream.
(There's the poem) Help immediately make the answers quick hurry
Answers
Answer:
Step-by-step explanation:
3
-4(-3x^2-6x) distribute
Answers
Step-by-step explanation:
-4(-3x^2 - 6x)
= (-4)*(-3x^2) - (-4)(6x)
= 12x^2 + 24x
A baseball field is a square with sides of length 90 feet. What is the
shortest distance between first base and third base?
A.90
B.180 squared
C.90
D.16200 squared