Answer:
The solution is 1.50 You can leave the zero off for this question.
Step-by-step explanation:
I'm not totally certain I'm reading this correctly.
2*(-x)
2*(- -0.75)
2*(0.75)
1.50
9
Here is a list of numbers.
6 4 8
9 4 3
IN THIS
AREA
(a) Work out the median.
Find the value or measure. Round answers to the nearest tenth, as needed.
Answer:
its 34
Step-by-step explanation:
its half of the center angles
Find the dimension of the vector space V and give a basis for V. (Enter your answers as a comma-separated list.) V = {p(x) in P2: p{0) = 0}
dim V = ____
basis { ____ }
The dimension and basis of the vector space V, where V is defined as the set of polynomials in P2 with p(0) = 0 are to be found.
Let p(x) = ax^2 + bx + c be an arbitrary polynomial in V. Since p(0) = 0, we have c = 0. Thus any polynomial in V can be written as p(x) = ax^2 + bx = x(ax + b). Therefore, the set {x(ax + b) : a, b ∈ R} is a basis for V.
To verify that this set is a basis, we need to show that it is linearly independent and spans V. Let p(x) = ax^2 + bx be a polynomial in V such that x(ax + b) = 0 for some real numbers a and b. This implies that either x = 0 or ax + b = 0 for all x in R. Since p(0) = 0, we have b = 0. Thus, the only polynomial in V that is linearly dependent on {x(ax + b) : a, b ∈ R} is the zero polynomial. Therefore, {x(ax + b) : a, b ∈ R} is a basis for V, and dim V = 2.
Learn more about polynomial here:
https://brainly.com/question/29465866
#SPJ11
can anyone plz help me plz
The constant of proportionality is the slope of the line.
The slope is the change in y over the change in x
Using two pints on the line:
Slope = (3-0) / (1-0) = 3/1 = 3
The answer is 3
Complete the table of values. Please help!
Answer:
Step-by-step explanation:
Where we have "x" must replace for the number shown on table
We have for "x" tha numbers: 0; 1; 2; 3; 4 and 5
Equation:
1.y = x+4
y = x + 4
For x = 0
y = x + 4
y = 0 + 4
y = 4
For x = 1
y = x + 4
y = 1 + 4
y = 5
For x = 2
y = x + 4
y = 2 + 4
y = 6
For x = 3
y = x + 4
y = 3 + 4
y = 7
For x = 4
y = x + 4
y = 4 + 4
y = 8
For x = 5
y = x + 4
y = 5 + 4
y = 9
So:
x y
0 4
1 5
2 6
3 7
4 8
5 9
I hope help you.
Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.
Answer:
(8,-1)
Step-by-step explanation:
The point of intersection can be found out by solving the system of equations.
x + 3y = 5 3x - 2y = 26Multiply (1) by 3 :-
→ 3 ( x + 3y ) = 5 × 3
→ 3x + 9y = 15
Subtracting 3(1) and 2 :-
→ 3x + 9y - 3x +2y = 15 - 26
→ 11y = -11
→ y = (-1)
Put it in 1 :-
→ x -3 = 5
→ x = 3 + 5
→ x = 8
Hence the point of intersection is (8,-1)x2 + 5x - 36 which binomial is a factor of the polynomial?
Q(x) = x³ − 3x² + 6x – 2
Q(0)=
Q(1)=
Q(-2)=
Answer:
Q(0) = -2
Q(1) = 2
Q(-2) = -34
Step-by-step explanation:
Step 1: Define
Q(x) = x³ - 3x² + 6x - 2
Q(0) is x = 0
Q(1) is x = 1
Q(-2) is x = -2
Step 2: Substitute and Evaluate
Q(0) = 0³ - 3(0)² + 6(0) - 2
Q(0) = 0 - 0 + 0 - 2
Q(0) = -2
Q(1) = 1³ - 3(1)² + 6(1) - 2
Q(1) = 1 - 3 + 6 - 2
Q(1) = -2 + 6 - 2
Q(1) = -4 + 6
Q(1) = 2
Q(-2) = (-2)³ - 3(-2)² + 6(-2) - 2
Q(-2) = -8 - 3(4) - 12 - 2
Q(-2) = -8 - 12 - 14
Q(-2) = -20 - 14
Q(-2) = -34
Please help I need real answers
Suppose you make coffee and it starts off just too hot to drink, so you put it in the refrigerator temporarily to cool it off. If the original temperature is 190 degrees Fahrenheit and the refrigerator is 36 degrees Fahrenheit, what will the temperature of the coffee be after 3 minutes? (k = 0.12)
Answer:
143.44 degrees
Step-by-step explanation:
T=36+(190-36)e^(-0.12*3)
Use the points (0,60) and (4,90) from the line on the scatter plot What is the equation of the linear modal?
100
90
80
Test Score
70
60
0
0 1 2 3 4 5
Time Studying (hours)
You are given the prices of a particular stock over a period of n days. Let the price per share of the stock on day i be denoted by pį. Our question is the following: How should we choose a day i on which to buy the stock and a later day j > i on which to sell it, if we want to maximize the profit per share (pj – pi)? (If there is no way to make money during the n days, we should conclude that.) Give a O(n) algorithm for the above problem, using dynamic programming.
The Algorithm for a time complexity of O(n) is given at the end.
The algorithm with a time complexity of O(n) to solve the problem:
1. Initialize two variables: "min_price" to store the minimum price encountered so far and "max_profit" to store the maximum profit found so far. Set both variables to infinity or a very large number.
2. Iterate through the given prices from left to right, for each day i:
- Update min_price as the minimum between min_price and prices[i].
- Calculate the potential profit as prices[i] - min_price.
- Update max_profit as the maximum between max_profit and the potential profit.
3. After the iteration, max_profit will contain the maximum profit that can be obtained by buying on one day and selling on a later day.
4. In this case, return a suitable message indicating that there is no profitable opportunity.
5. If max_profit is positive, it represents the maximum profit that can be obtained. To find the specific days i and j, iterate through the prices again and find the day i where the profit is equal to max_profit. Then, continue iterating from day i+1 to find the day j where the price achieves the maximum profit (prices[j] - prices[i]). Return the pair of days (i, j).
The Python code implementing the algorithm:
def find_optimal_days(prices):
n = len(prices)
min_price = float('inf')
max_profit = 0
buy_day = 0
sell_day = 0
for i in range(n):
min_price = min(min_price, prices[i])
potential_profit = prices[i] - min_price
max_profit = max(max_profit, potential_profit)
if potential_profit == max_profit:
sell_day = i
if max_profit <= 0:
return "No profitable opportunity."
for i in range(sell_day):
if prices[sell_day] - prices[i] == max_profit:
buy_day = i
break
return buy_day, sell_day
# Example usage:
prices = [7, 1, 5, 3, 6, 4]
result = find_optimal_days(prices)
print(result)
This algorithm has a time complexity of O(n), where n is the number of days (length of the prices list). It iterates through the prices list twice, but the overall complexity is linear.
Learn more about Time Complexity here:
https://brainly.com/question/30227527
#SPJ4
How many sides do 2 hexagons and 2 pentagons have in all?
Answer:
22 sides total
Step-by-step explanation:
a hexagon has 6 sides, while a pentagon has 5 sides. In order to find out how many there are total, we would multiply each by two, and add them together.
\(2(6)+2(5)=\\12+10=22\)
Define the slope of the slope-intercept line form y=mx+b in terms of A,B and C belonging to the standard form of the linear equation Ax+By=C.
The definition of slope-intercept form y=mx+b is given below.
What is a line explain?A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.
What are the types of lines?In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.
In the given question:-
The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.
To learn more about slope of line, click the following link:-
https://brainly.com/question/24778489
#SPJ1
On a map the distance is 2.6cm scale of the map is 1cm:50km
Answer:
Step-by-step explanation:
2.6*50=130 km
A 3 liter bottle of juice costs $5.70
What is the unit price for 1 liter of juice?
Answer:
$1.90
Step-by-step explanation:
Divide 5.7 by 3 to get your answer.
\(\frac{5.7}{3}\) = 1.9
Answer:
$1.90
Step-by-step explanation:
First, write out what you know.
So, you know that you have 3 liters.
Together, they cost $5.70.
You want to know the unit price, for 1 liter.
Therefore, you would divide $5.70 by 3:
\(\frac{5.70}{3}=\frac{1.90}{1}=1.90\)
This means that the unit price, for 1 liter of juice, would be $1.90.
in politics marketing etc we often want to eliminate a percentage or proportion p. one calculation in statistical polling is the margin of error-the largest(resonable)error that the poll could have. for example a poll result of 72% with a margun of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4%to 72%plus 4%). In a (made-up) poll the proportion of people who like dark chocate more than milk chocolate was 29% with a margin of error of 1.9% describe the conclusion about p using an absolute value inequality
We have that the proportion of people that like dark chocolate more than milk chocolate is 29%, with a margin of error of 1.9%. Then we would have:
\(\begin{gathered} 29-1.9then, the absolute value inequality that most looks like this is the following:
\(|p-1.9|<29\)A line passes through the points (3,-2) and (3, 4). Determine the slope of the line.
0 m =
O m = 0
O The slope is undefined.
Om = 3
Since the line passes through the points (3,-2) and (3, 4), the slope of the line is: C. the slope is undefined.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
Slope (m) = (4 + 2)/(3 - 3)
Slope (m) = (6)/(0)
Slope (m) = undefined.
Based on the graph, the slope is the change in y-axis with respect to the x-axis and it is undefined.
Read more on slope here: brainly.com/question/3493733
#SPJ1
continuing with the bounds you found in part d, do two more iterations of approximations. what is the solution to the original equation?
The solution to the original equation is approximately 1.4422.
To continue with the bounds found in part d, we need to use the interval [1.4, 1.5] as the initial approximation for the next iteration. Using the Newton-Raphson method, we get the following approximations:
- Iteration 2: x1 = 1.4428
- Iteration 3: x2 = 1.4422
Based on these two iterations, we can conclude that the solution to the original equation is approximately 1.4422. This is because the difference between the approximations in the last two iterations is only 0.0006, which is a small enough difference to suggest that the approximation has converged to a solution.
In other words, the Newton-Raphson method has been successful in finding a solution to the equation f(x) = x^3 - x^2 - x - 1 = 0 within the given interval [1.4, 1.5]. The method works by using the tangent line to the graph of f(x) at each iteration to approximate the root of the equation. By repeating this process, we are able to get closer and closer to the actual solution.
Learn more about equation brainly.com/question/10413253
#SPJ11
Find x 96+2x+(x+12).
Answer:
bro u find it
Step-by-step explanation:
You perform a Chi-Square test and obtain a p-value lower than 0.01. What does that mean?
Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.
If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.
The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.
In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.
learn more about Chi-Square here: brainly.com/question/24976455
#SPJ11
A cube with 2.0-cm sides is made of material with a bulk modulus of 4.7 x 10^5 N/m^2. When it is subjected to a pressure of 2.0 x 10^5 Pa is the length of its any of its sides is
The answer is 2.6825 cm, which is not one of the given options. Therefore, the correct answer is E. none of these.
What is the bulk modulus?The bulk modulus, B is defined as:
B = (P / ΔV / V), where P is the pressure applied, ΔV is the change in volume, and V is the original volume.
For a cube, the change in volume, ΔV is related to the change in length, ΔL by:
\(\sf \Delta V = \Delta L^3\).
Given that the cube has 2.0 cm sides, the original volume, V is:
\(\sf V = (2.0 \ cm)^3 = 8.0 \ cm^3\).
The pressure applied is \(\sf P = 2.0 \times 10^5\) Pa and the bulk modulus is \(\sf B = 4.7 \times 10^5 \ N/m^2\).
We can rearrange the bulk modulus formula to solve for ΔL as:
\(\sf \Delta L = \huge \text(\dfrac{P}{B} \huge \text) \times \dfrac{V}{3}\).
Substituting the values, we get:
\(\sf \Delta L = (2.0 \times 10^5 \ \dfrac{Pa}{4.7} \times 10^5\ N/m^2) \times \dfrac{8.0 \ cm^3}{3} = 0.6825 \ cm\)
Therefore, the final length of any side of the cube is:
\(\sf L = 2.0 \ cm + \Delta L = 2.0 \ cm + 0.6825 \ cm = 2.6825 \ cm\)
For more similar questions on bulk modulus:
brainly.com/question/15862474
Complete Question:
A cube with 2.0-cm sides is made of material with a bulk modulus of4.7 × 10^5 N/m2. When it is subjected to a pressure of 2.0 × 10^5 Pa the length of its any of its sides is:
A. 0.85 cm
B. 1.15 cm
C. 1.66 cm
D. 2.0 cm
E. none of these
PLEASE HELP PLEASE HELP!!!!
You run m miles on Monday, the same amount on Tuesday, and 3 miles on Wednesday. Write an expression in the simplest form that represents the total amount in each situation.
(please show work)
The mean, or average, is equal to the sum of all the miles divided by the number of terms you added together. We have 4 terms that will be added, but are missing one term. We will solve for the missing term by setting up an equation for the average and solving for x, the number of miles you must run on Thursday.
3 = (2 + 3 + 4 + x) / 4
12 = 2 + 3 + 4 + x
12 = 9 + x
x = 3 miles
find the flux of the vector field v(x, y, z) = 3xy2i 3x2 yj z3k out of the unit sphere.
The flux of the vector field v(x, y, z) = 3xy2i + 3x2yj + z3k across the unit sphere is 4π.
The flux of the vector field v(x, y, z) = 3xy2i + 3x2yj + z3k out of the unit sphere can be found using the divergence theorem, which states that the flux of a vector field across a closed surface is equal to the volume integral of the divergence of the vector field over the enclosed volume.
The unit sphere can be represented by the surface S given by the equation x2 + y2 + z2 = 1. The outward unit normal to this surface is given by the vector n = xi + yj + zk.
Using the divergence theorem, the flux of the vector field v across the surface S is given by the volume integral of the divergence of v over the enclosed volume V:
Flux = ∬_S v · n dS = ∭_V ∇ · v dV
To evaluate the integral, we first need to find the divergence of v:
∇ · v = ∂(3x\(y^{2}\))/∂x + ∂(3\(x^2\)y)/∂y + ∂(\(z^3\))/∂z
= 3\(y^2\) + 6xy + 3\(z^2\)
Next, we need to find the volume of the unit sphere:
V =∭_V dV = \($\int_{-1}^1\int_{-\sqrt{1-y^2}}^{\sqrt{1-y^2}}\int_{-\sqrt{1-x^2-y^2}}^{\sqrt{1-x^2-y^2}} dz,dx,dy$\)
= 4/3 π
Substituting the divergence and volume into the divergence theorem equation, we get:
Flux = ∬_S v · n dS = ∭_V ∇ · v dV = ∭_V (3\(y^2\) + 6xy + 3\(z^2\)) dV
= 3∭_V (\(y^2\) + 2xy + \(z^2\)) dV
= 3∭_V (\(x^2\) + \(y^2\) + \(z^2\)) dV (by symmetry)
= 3V
= 4π
Therefore, the flux of the vector field v across the unit sphere is 4π.
Learn more about divergence theorem here:
https://brainly.com/question/31272239
#SPJ11
20 (-1.5r + 0.75) what’s the answer
Answer: -30r + 15
Step-by-step explanation:
first, we multiply the parenthesis by 20.
-20 x 1.5r + 20 x 0.75
then, we multiply/calculate.
-30r + 15
Answer: Brainliest? Need One More!
Step-by-step explanation:
20*(-1.5r)
+
20*(0.75)
-30r+15
OPEN ENDED QUESTION
Let f be the function so that f(t) represents
the number of stores t years since 1987. The
value of f(20) is 15,011. Find
f(20)-f(10)
20-10
and say what it tells us about the change in
the number of stores.
Help :(?
we have f(20) - f(10) = 15,011 - y, the difference f(20) - f(10) represents the change in the number of stores between 20 and 10 years since 1987.
To find the change in the number of stores between 20 and 10 years since 1987, we need to calculate the difference in the values of the function f at these two time points.
Given that f(20) = 15,011, we don't have the exact value of f(10). However, we can still determine the change by subtracting f(10) from f(20).
Let's denote f(10) as y. Therefore, we have:
f(20) - f(10) = 15,011 - y
The difference f(20) - f(10) represents the change in the number of stores between 20 and 10 years since 1987. The value of this expression will give us the net increase or decrease in the number of stores during that time period.
Unfortunately, since we don't have the specific value of f(10) or any additional information about the function f,
we cannot determine the exact change in the number of stores between 20 and 10 years since 1987. We would need more information or a specific equation for the function f to calculate the precise change.
To know more about equation click here
brainly.com/question/649785
#SPJ11
Rewrite the function, differentiate, and then simplify
y= 3/√x
Answer:
-3/ (2x√x)
Step-by-step explanation:
y=3/√x
y= 3x^(-½)
y'= -3/2 x^(-3/2)
= -3 / (2x√x)
2. Niayla and Hamilton each have a job selling aardvark habitats. Hamilton gets paid a
flat fee of 350 dollars plus 50 dollars for each habitat he sells. Niayla gets paid a
flat fee of 500 dollars 40 dollars for each habitat she sells. How many habitats
must Niayla and Hamilton sell to make an equal amount of money.
Considering the equation of selling habitat between Niayla and Hamilton, the number of habitats that Niayla and Hamilton must sell to make an equal amount of money is 15
How to determine the number of habitats that Niayla and Hamilton must sell to make equal amountinformation gotten from the question include
Hamilton gets paid a flat fee of 350 dollars plus 50 dollars for each habitat he sells
Niayla gets paid a flat fee of 500 dollars 40 dollars for each habitat she sells
The equation as described is a linear function and is represented by the form. y = mx + c
where:
y = total amount made
x = number of habitat sold
m = cost per habitat
c =flat fee
some interpretation on the information from the question include
for Hamilton
y = 50x + 350
for Niayla
y' = 40x + 500
To make equal amounts y = y'
50x + 350 = 40x + 500
500 - 350 = 50x - 40x
150 = 10x
x = 150 / 10
x = 15
Learn more about linear function relating to cost at:
https://brainly.com/question/29213643
#SPJ1
In the function f (x) = = (x²-1) / (x-1), what happens if x takes the value of 1? Explain your answer.
Answer:
If x=1, then f(x)= undefined
Step-by-step explanation:
1*1=1
1-1=0
0/0
You can't divide by 0, so anything that is divided by 0 is undefined.
((1*1)-1)/(1-1)
(1-1)/(1-1)
0/0
0/0=Undefined
f(x)= undefined
how many four letter strings can be formed from the letters a,b,c,d,e if the first letter must be a vowel and the last letter must be a consonant?
Number of ways to form four letters strings formed using a, b, c, d, e with the given conditions is equal to 150ways.
As given in the question,
Given letters are a, b, c, d, e has
Number of vowel = 2
Number of consonant= 3
Number of letter strings to be formed = 4
Condition:
First letter must be vowel
Last letter must be consonant
First place filled in 2 ways
Second and Third place filled in 5ways
Last place filled in 3 ways
Total number of ways to form four letters strings
= 2 × 5 × 5 × 3
= 150
Therefore, number of ways to form four letter string is 150 ways.
Learn more about number of ways here
brainly.com/question/29110744
#SPJ4
0 > c + 10 ____________________________
is that a question or no?