[TRUE or FALSE] finding a parametric description of the solution set of a linear system is the same as solving the system.
The statement is false. The solution set of a linear system can only be expressed using a parametric equation if the system has at least one solution.
Equation of this sort is known as a parametric equation; it uses an independent variable known as a parameter (commonly represented by t) and dependent variables that are specified as continuous and independent of other variables functions of the parameter Multiple parameters may be utilized as needed.For example, the following equation can be represented as a pair of equations in parametric form rather than the equation in Cartesian form: Parameterization, It effectively differentiates and integrates curves by converting a function into parametric form.
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Ugh this is torture (hate math)
Explanation:
The points b and e are relative max points. They are the highest point for their given neighborhood/region. In other words, they are the peak of the mountain for that little area.
In this case, point b is also the absolute maximum because it is the highest point of every point on the entire curve.
Does 4x^2-20x+25 equal (2x-5)^2?
Answer:
Step-by-step explanation:
(2x-5)² = (2x)² - (2x⋅5) - (2x⋅5) + (-5)²
= 4x² - 20x + 25
Answer:
4x^2-20x+25 DOES equal (2x-5)^2.
Step-by-step explanation:
By factoring 4x^2-20x+25, we have:
4x^2-20x+25 = (2x - 5)(2x - 5) because of the order for this multiplication as FOIL, or first, outside, inside, and last.
Firstly, we take the first numbers 2x * 2x = 4x, so we put this down as
4x^2
We then take the outside numbers 2x * -5 = -10x and also put this down
4x^2 - 10x
We then take the inside numbers 2x * -5 = -10x again and put this down
4x^2 - 10x - 10x, or 4x^2 - 20x
We then take the last numbers -5 * -5 = +25 and put this down
4x^2 - 20 + 25
We now know that 4x^2 - 20 + 25 is equal to (2x - 5)(2x - 5), and
(2x - 5)(2x - 5) is equal to (2x - 5)^2.
Consider the heat equation of the temperature of a solid material. The Mixed boundary conditions means to fix end of the solid material, and the heat the other end..
The heat equation of the temperature of a solid material is a partial differential equation that governs how heat energy is transferred through a solid material.
The mixed boundary conditions in this context refer to a combination of boundary conditions where one end of the solid material is fixed and the other end experiences heat.
In other words, mixed boundary conditions are boundary conditions that consist of different types of boundary conditions on different parts of the boundary of a domain or region. They are a combination of Dirichlet, Neumann and Robin boundary conditions. When applying these boundary conditions, it is important to ensure that they are consistent with each other to ensure a unique solution to the heat equation.
In the case of fixing one end of the solid material and applying heat to the other end, the boundary conditions can be expressed as follows:
u(0,t) = 0 (Fixed end boundary condition)
∂u(L,t)/∂x = q(L,t) (Heat boundary condition)
where u(x,t) is the temperature at position x and time t, L is the length of the solid material, and q(L,t) is the heat flux applied at the boundary x = L.
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helppp me plss its due tonight!!
Answer:
B.
Step-by-step explanation:
b. What's the probability a customer who ordered pancakes came to the diner late?
c. Are breakfast choice and meal time independent? Explain.
Answer:
b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%
c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.
Step-by-step explanation:
What does -12(4+g)=?
Answer:
-48-12g
Step-by-step explanation:
Use the distributive property to get your answer
Answer:
-48-12g
Step-by-step explanation:
-12 x 4 = -48
-12 x g = -12g
Put it all together: -48-12g
Question 4 [14 marks] Let Y₁. , Y₁ denote a random sample from the probability density function f(y; 0) (0+1)0y-¹ (1-y) = 0
The offered question seems to use a probability density function, yet the accompanying equation appears to have a mistake or missing information.
Because it does not describe a suitable distribution, the equation "f(y; 0) (0+1)0y-1 (1-y) = 0" is not a legitimate probability density function.It would be good to have the accurate and comprehensive equation for the probability density function or any more information about the issue in order to give a relevant response and properly answer the question. In order for me to help you appropriately, kindly offer the right equation or any further information.
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Use the graph of speed versus time to answer the questions about acceleration.
Which of the cars is speeding up?
Which of the cars is slowing down?
Which of the cars is maintaining a constant speed?
Answer:
your answer is A, C, B
Step-by-step explanation:
I did the assignment.
Answer:
the answer is:
Step-by-step explanation:
1. A
2. C
3. B
Fill in the blank with a number to make the expression a perfect square.
2
V
8v
2
+
x 5
?
Answer:
16
Step-by-step explanation:
Substituting 16 will make the expression valid and correct since the square of -4 is 16 and the addition of it is -8.
\(v^2-8v+16=(v-4)^2\)
-5x+9=-3x+1 i dont understand it someone please help
Answer:
x=4
Step-by-step explanation: take (possative)3x and add it to -5x. -2x+9=1. subtract 9 from 1. -2x=-8. devide bolth sides by -2. a negative devided by a negative makes a possative soit equallls x=4
A restaurant customer left $1.35 as a tip. The tax was 8% and the tip was 15% of the cost including tax.
Part A. Which information is not needed to compute the bill after tax and tip?
Part B. What was the total bill?
Answer:
Part A: The part that says the amount of tax is not needed to calculate the total cost of the meal
Part B: The total cost is $9.
Step-by-step explanation:
(Attached)
Which graph is a function on top
Which graph is not a function on bottom
Answer:
3) 3
4) 3
Step-by-step explanation:
A function is a line where the x value never repeats
1. When publishing a script from the MATLAB Editor, the resulting document contains section headers derived from the MATLAB code. What is the source of these headers?
a. Section titles(lines starting with %% followed by a space and then a title)
b. An option set in the publishing configuration
c. Command lines that contain no executable code (lines starting with %)
d. Comment lines with the markup HEADER (lines starting with %HEADER)
e. The H1 line
2. Which of the following statements about the purpose of code in the MATLAB Editor is not true?
a. Identify and summarize related blocks of code in a large file.
b. Automatically pause code execution at the start of each section when running a script.
c. Interactively evaluate a single block of code independently.
3. GIven a non scalar matrix X, which commands return a matrix of the same size as x?
a. mean(x)
b. sin(x)
c. log(x)
d. sum(x)
e. std(x)
f. sqrt(x)
1. (A) Section titles (lines starting with %% followed by a space and then a title).
2. (B) Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)
3. All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.
The source of the section headers in the resulting document when publishing a script from the MATLAB Editor is:
a. Section titles (lines starting with %% followed by a space and then a title).
The statement that is not true about the purpose of code in the MATLAB Editor is:
b. Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)
3. The commands that return a matrix of the same size as x, given a non-scalar matrix X, are:
a. mean(x)
b. sin(x)
c. log(x)
d. sum(x)
e. std(x)
f. sqrt(x)
All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.
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150 students living in Dunedin hostels became sick with the flu over a 3 month period. What measure of occurrence does this statement describe
The statement describes the incidence measure of occurrence, which refers to the number of new cases of a disease or condition that occur in a defined population over a specific period of time.
This statement describes the incidence rate of flu among students living in Dunedin hostels.
The incidence rate is a measure of occurrence that calculates the number of new cases (in this case, students getting sick with the flu) in a specific population (150 students in Dunedin hostels) over a specific time period (3 months). This rate helps us understand the frequency at which the flu is affecting this particular group of students
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Three objective functions for linear programming problems are 7A+10B,6A+4B, and −4A+7B. Show the graph of each for objective function values equal to 420 .
Graph of each objective function using linear programming.
Here,
Putting the equation equal to 420 and plotting the graph by finding the value of A and By putting A=0 and finding B then putting B=0 and finging A.
For example putting A=0 in 7A+10B=420 will yield (0,42) and Putting B=0 will yield (60, 0). plotting theses points on graph and joining them to generated the line.
Repeating thin step for each objective function and plotting the graph.
7A + 10B = 420 is labelled as a.
6A+4B = 420 is labelled as b.
-4A + 7B = 420 is labelled as c .
The graph of each function is attached below.
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A small farm has sheep and chickens, there are chickens as many as twice the sheep and there are 104 legs. What is the count of chickens?.
Answer:
56 chickens or 112 legs
Which one of the following is a property of the exponential function? (a) The graph of the exponential function passes through the point (1,0) (b) The exponential function is a decreasing function (c) The range of the exponential function is the set of all positive real numbers (d) The y-axis is an asymptote for the graph of the exponential function
The range of the exponential function is the set of all positive real numbers.The exponential function is an increasing function. Option (c) is correct.
An exponential function is a function of the form f(x) = ab^x, where b > 0, b ≠ 1, and x is any real number. Here, we have to identify which of the following properties is of exponential function.The range of the exponential function is the set of all positive real numbers.
It is the property of the exponential function. Hence, option (c) is correct. The range of the exponential function is the set of all positive real numbers. Because the base of an exponential function is always greater than 0, the output values (y-values) will always be positive. The domain of an exponential function is all real numbers. The exponential function is an increasing function. It has an x-axis as its horizontal asymptote. Hence, the correct option is (c).Answer: (c) The range of the exponential function is the set of all positive real numbers.
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b-In a MATLAB symbolically solve and plot the solution in the interval [-10 10] of the following:
d^2y/dt^2 = a^2y., y (0) = b , y' (0) =1
we define the differential equation using the symbolic variable `y(t)` and solve it using `dsolve`. Then, we define the interval for plotting, substitute the `t` values in the solution using `subs`, and finally, plot the solution using `plot`.
In MATLAB, you can symbolically solve and plot the solution of the second-order differential equation d^2y/dt^2 = a^2y, with initial conditions y(0) = b and y'(0) = 1, using the symbolic math toolbox.
Here's the MATLAB code to solve and plot the solution:
```matlab
syms t a b y(t)
eqn = diff(y, t, 2) == a^2 * y; % Define the differential equation
cond1 = y(0) == b; % Initial condition y(0) = b
cond2 = subs(diff(y, t), t, 0) == 1; % Initial condition y'(0) = 1
sol = dsolve(eqn, cond1, cond2); % Solve the differential equation
t_vals = -10:0.1:10; % Define the interval for plotting
y_vals = subs(sol, t, t_vals); % Substitute t values in the solution
% Plot the solution
plot(t_vals, y_vals);
xlabel('t');
ylabel('y');
title('Solution of d^2y/dt^2 = a^2y');
```
In the code above, we define the differential equation using the symbolic variable `y(t)` and solve it using `dsolve`. Then, we define the interval for plotting, substitute the `t` values in the solution using `subs`, and finally, plot the solution using `plot`.
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Create a multi-step equation where the answer is 17. Write the equation and then show
how you solve the equation.
Answer:
(1 + 4²) x (√25) ÷ 10 x (√4) = 17
Step-by-step explanation:
(1 + 16) x (5) ÷ 10 x (2) = 17
(17) x (5) ÷ 10 x 2 = 17
(85 ÷ 10) x 2 = 17
(8.5) x 2 = 17
17 = 17
Hope this helps buddy!
a wheel starts from rest and has an angular acceleration that is given by α(t) = (6.0 rad/s4)t2. how long does it take to make 13 rev?
Given, Angular acceleration α(t) = (6.0 rad/s^4)t^2, Initial velocity u = 0, Final velocity v = ?, Angular displacement θ = 13 × 2π rad = 26π rad. So, it takes 13.6 seconds to make 13 revolutions.
We have the relation, α = (v - u)/t , We know that, α(t) = (6.0 rad/s^4)t^2∴ (v - u)/t = (6.0 rad/s^4)t^2(v - 0)/t = (6.0 rad/s^4)t^2v = (6.0 rad/s^4)t^3 ----(1)
Now, Angular displacement θ = (1/2)(u + v)t
Since the wheel starts from rest, u = 0
∴ (1/2)(0 + v)t = θvt = (2θ)/v
Substitute the value of v from equation (1),
t = (2θ)/((6.0 rad/s^4)t^3)= (θ/(3.0 rad/s^2))^(1/3)t = [(26π)/(3.0 × π^2)]^(1/3)= 13.6 s (approx)
Hence, it takes 13.6 seconds to make 13 revolutions.
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Elena needs to find a table that will fit three cube-shaped cases, each containing a frog. If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 30 inches long and 18 inches wide? Explain and show your work.
a) Find the length of the side of each case
b) Is the length of the table enough for the 3 cases? Explain
c) Is the width of the table enough for the 3 cases? Explain
Answer:
A is 30 inches
b is Yes
c
Step-by-step explanation:
On another training ride, Jana bikes 15 miles in 50 minutes. Explain how you
could find the number of miles she bikes in 1 hour
Answer:
18 miles per hour
Step-by-step explanation:
If you divide 15 (miles) into 50 groups (min) you will get Jana's speed per min and then you can multiply that speed by sixty to her the speed per hour.
16) w(x) = 4x + 4; Find w(x + 4)
\(\\ \tt\hookrightarrow w(x)=4x+4=4(x+1)\)
Now
\(\\ \tt\hookrightarrow w(x+4)=4(x+4+1)\)
\(\\ \tt\hookrightarrow w(x+4)=4(x+5)\)
\(\\ \tt\hookrightarrow w(x+4)=4x+20\)
If x = 1, what is the value of y given 2x + 2y = 18?
Answer:
y=8
Step-by-step explanation:
2(1)+2y=18
2+2y=18
minus 2 from both sides
2y=16
divide by 2 from both sides
y=8
Answer:
y=8
Step-by-step explanation:
1. If x is equal to 1, 2x is just 2.
2. We can subtract the 2 we already have. 18-2=16
3. 2y=16, divide by 2 on both sides.
y=8
A firm experiences_______ if inputs are doubled and output more than doubles. diminishing marginal rate of technical substitution diminishing marginal product decreasing returns to scale increasing returns to scale
A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.
When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.
The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.
This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.
The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.
Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.
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Perform the operation.
(4x^2 + 6x + 7) - (-8x^2 – 2x + 6)
\(12 {x}^{2} + 8x + 1\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)
\((4 {x}^{2} + 6x + 7) - ( - 8 {x}^{2} - 2x + 6) \\ = 4 {x}^{2} + 6x + 7 + 8 {x}^{2} + 2x - 6 \\ = 4 {x}^{2} + 8 {x}^{2} + 6x + 2x + 7 - 6 \\ = 12 {x}^{2} + 8x + 1\)
\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)
15 / 6 2/3 =Ο Α. 100 1/4Ο Β. 2 3/4C. 2 1/4 D. 100
use the following property:
\(\frac{a}{b}\div\frac{c}{d}=\frac{ad}{bc}\)so:
\(\frac{15}{1}\div\frac{20}{3}=\frac{15\cdot3}{20\cdot1}=\frac{45}{20}=\frac{9}{4}=2\frac{1}{4}\)18) Mala gave Kamala half the number of sweets she had. She then had 7 sweets left. How many sweets did Mala have at the start?
Answer:
Mala had 14 sweets at the start.
Step-by-step explanation:
7 x 2 = 14
To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)
When we are computing a simple linear regression line, there are certain conditions that must be met for this model to be valid. One of these conditions is the equal spread condition. Which of these answers best explains how we check to make sure that this condition is met? a. Make sure there is similar spread around the sample mean of x. b. Make sure there is similar spread around the line at each value of x.
c. Make sure that there is similar spread around the sample mean of y. d. Make sure all outliers are only below the line.
The answers that best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.
How we check to make sure that this condition is met?The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.
To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.
Therefore the correct option is C.
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