!!! Chapter 3, Problem 5EA < 0 Bookmark Press to s Problem For exercises 4 and 5, let M= - G Compute MM and MM. Find the trace of MM and the trace of MM Step-by-step solution Step 1 of 4 A The matrix
Answers
Given that,\(M = -G\)The task is to calculate MM and MM along with finding the trace of MM and MM.Step 1:The matrix \(M = -G\) can be expressed.
As: \(M = [ -4 -1 -5 ] [ -3 -1 -4 ] [ -5 -1 -6 ]\)
On substituting the value of G in the above expression,
we get:\(M = [ -4 -1 -5 ] [ -3 -1 -4 ] [ -5 -1 -6 ] = [ 1 0 2 ] [ 0 1 1 ] [ 2 1 3 ] = MM = [ -7 0 -11 ] [ -7 -1 -11 ] [ -11 -1 -17 ]\)Step 2:Finding trace of MMTrace is the sum of elements along the main diagonal of a square matrix. Here, the matrix MM is a square matrix with 3 rows and 3 columns.
The trace of MM can be calculated as follows:
Trace of \(MM = -7 -1 -17 = -25\).
Step 3:Finding MMMatrix MM is obtained by multiplying M with itself.
\(MM = M × M = [ 1 0 2 ] [ 0 1 1 ] [ 2 1 3 ] × [ 1 0 2 ] [ 0 1 1 ] [ 2 1 3 ] = [ 5 1 17 ] [ 5 2 18 ] [ 9 2 30 ]\)Step 4:Finding trace of MMTrace is the sum of elements along the main diagonal of a square matrix. Here, the matrix MM is a square matrix with 3 rows and 3 columns. Hence the trace of MM can be calculated as follows:
Trace of \(MM = 5 + 2 + 30 = 37Therefore,MM = [ -7 0 -11 ] [ -7 -1 -11 ] [ -11 -1 -17 ]MM = [ 5 1 17 ] [ 5 2 18 ] [ 9 2 30 ]Trace of MM is -25Trace of MM is 37.\)
To know more about matrix visit:
https://brainly.com/question/28180105
#SPJ11
Related Questions
If y = z1 + z2, where z1 is in a subspace W and z2 is in W complement, then z1 must be the orthogonal projection of y onto W.
Answers
To solve the given system of differential equations, we can use the substitution method to obtain first-order linear differential equations and solve them for x and y. Alternatively, we can apply the operator method to rewrite the system as a second-order linear differential equation.
To solve the given system of differential equations using three different methods - substitution method, operator method, and eigen-analysis method - we start by representing the system in matrix form: Let X = [x y]' and X' = [x' y']'. The given system can be written as: X' = A * X + B, where A is the coefficient matrix and B is the vector of constants.
Substitution Method:
In this method, we substitute the expressions for x' and y' from the given system into the equations and solve for x and y. By substituting the given expressions, we obtain two first-order linear differential equations. We can then solve these equations using standard methods such as separation of variables or integrating factors to find the solutions for x and y.
Operator Method:
The operator method involves defining operators D = d/dt and E = d/de, where t is the independent variable and e is the exponential function. We can rewrite the given system as a single second-order linear differential equation in terms of these operators. By manipulating the equations using operator algebra, we can find the characteristic equation and the solutions for x and y.
Eigen-analysis Method:
The eigen-analysis method involves finding the eigenvalues and eigenvectors of the coefficient matrix A. By calculating the eigenvalues, we can determine the type of critical points in the system. The eigenvectors corresponding to the eigenvalues provide the basis for the solutions. Using the eigenvalues and eigenvectors, we can construct the general solution for the system. Lastly, the eigen-analysis method helps us determine the critical points and construct the general solution using eigenvalues and eigenvectors.
Learn more about eigenvectors here: brainly.com/question/31043286
#SPJ11
MARKING BRAINLIEST please helpp :D
Answers
Answer: 157.5 and 54
Step-by-step explanation:
5x+5 = 3x-12 + 78
2x = 61, x = 30.5
<rst = 5x+5, or 30.5*5+5 = 157.5
108/2 = 54
Myra won the hurdles event for the seventh graders. She completed the race in 22.8 seconds and knocked down 1 hurdle. Byron won the race for the eighth graders. He completed the race in 20.3 seconds and knocked down 3 hurdles. If 2 seconds are added to the finishing time for each hurdle that is knocked down, what is the final time for each runner? Award 110 points to the team with the fastest time.
pls help im tired.
Answers
Answer:
My answer is Myra: 24.8s Byron: 26.3s so byron is the winner
Step-by-step explanation:
I did it on my track and field day assignment and got it right
The area of a rectangle 12x^2 + 32x square units. If the width can be represented by 3x + 8, write an expression to represent the length of the rectangle.
Answers
Answer:
Step-by-step explanation:
The area of a rectangle is length time width.
A=LW
In this case,
A=32x^2+12
W=4x
Solve for L
L=A/W
Substitute
L=(32x^2+12)/4x
L=(8x^2+3)/x
recursively define the set of binary strings with more 0s than 1s.
Answers
0>1,If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y.
What do binary strings mean?A series of bytes make up a binary string. A binary string is used to store non-traditional data, including images, as opposed to a character string, which typically holds text data. The quantity of bytes in a binary string determines its length. The CCSID for a binary string is 65535.Binary refers to this system of 1s and 0s. Because of the way they are made, computers only speak in binary. A computer is nothing more than a sizable number of switches. On those curiously engraved boards inside the computer, there are millions of microscopic electronic switches.If a function f is constructed recursively, at least one of its values, f(x), must be defined in terms of f(y), where x>y. A procedure P is defined recursively if its action, P(x), is defined in terms of another action, P(y), where x>y.Explanation:
0>1.
To learn more about Binary string refer to:
https://brainly.com/question/29739112
#SPJ4
Will make brainiest if 2 people answer :3
Answers
Answer:
1.6
Step-by-step explanation:
12.8/8 = 1.6
15.2/9.5 = 1.6
Scale factor = 1.6
Will mark brainliest...no guessing please :)
Answers
Answer:
A
Step-by-step explanation:
We can calculate the equation of the lines based on two points. First line m:
y = ax +b
where a is the slope and b is the y-intercept. To find the slope we use the x and y of the points as:
a = \(a = \frac{y_1-y_2}{x_1-x_2} = \frac{4- -32}{2- -4} = \frac{36}{6} = 6.\)
So:
y = 6x + b
we can find the y intercept by substituting the x and y for one of the points:
solving for b:
b=-32-(6)(-4)= -8.
So the equation is:
y = 6x - 8.
We can change it to:
y + 8 = 6x
8 = 6x - y.
So it’s (A).
Hope that helps!
Answer:
B I think
Step-by-step explanation:
A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel). Find P(Girl | K-name)
Answer:
2/3
Answers
The total probability of a girl having a "K-name" is 3/8. The total probability of there being a girl in the club is 5/8.
Therefore, the conditional probability of having a girl with a "K-name" given that there is a girl in the club can be calculated as follows:
P (Girl | K-name) = P (K-name | Girl) × P (Girl) / P (K-name) = 2/5 * 5/8 / 3/8 = 2/3
Therefore, the probability of a girl with a K-name given that there is a girl in the club is 2/3.
In a club consisting of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve, and Samuel), we are asked to find P(Girl | K-name).
We can use Bayes' theorem to calculate the conditional probability of this event. This theorem states that the probability of an event given another event can be calculated as the product of the probability of the second event Therefore, the probability of a girl having a "K-name" given that there is a girl in the club is 2/3.
The conditional probability of there being a girl in the club given that a girl has a K-name is 2/3.
To know more about conditional probability visit:
brainly.com/question/10567654
#SPJ11
A smart phone manufacturer is interested in constructing a 95% confidence interval for the proportion of smart phones that break before the warranty expires. 95 of the 1666 randomly selected smart phones broke before the warranty expired.
a. With 95% confidence the proportion of all smart phones that break before the warranty expires is between _______________ and ______________.
b. If many groups of 1666 randomly selected smart phones are selected, then a different confidence interval would be produced for each group. About _____________ percent of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires and about ____________ percent will not contain the true population proportion.
Answers
a) With 95% confidence the proportion of all smart phones that break before the warranty expires is between 0.0525 and 0.0635.
b) If many groups of 1666 randomly selected smart phones are selected, then a different confidence interval would be produced for each group. About 95 percent of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires and about 5 percent will not contain the true population proportion.
A smart phone manufacturer is interested in constructing a 95% confidence interval for the proportion of smart phones that break before the warranty expires. 95 of the 1666 randomly selected smart phones broke before the warranty expired.To calculate the confidence interval for the proportion of smart phones that break before the warranty expires, we must first calculate the point estimate of the population proportion of smart phones that break before the warranty expires:95/1666 = 0.057 (rounded to three decimal places)Then, we have to find the margin of error that is, the maximum distance between the point estimate and the confidence interval limits.
We can do that with the help of the following formula:margin of error = critical value × standard errorThe critical value can be found in the z-table or t-table, depending on the sample size. Since we do not know the population standard deviation, we can use the t-distribution. The degrees of freedom are n − 1 = 1666 − 1 = 1665.Using the t-table with degrees of freedom 1665 and level of significance α = 0.05, the critical value is:t* = 1.96 (rounded to two decimal places)The standard error can be calculated using the following formula:standard error = √[(p-hat (1-p-hat))/n] = √[(0.057(1-0.057))/1666] ≈ 0.0083 (rounded to four decimal places)Finally, we can calculate the confidence interval using the following formula:confidence interval = point estimate ± margin of error confidence interval = 0.057 ± 1.96(0.0083) = (0.0525, 0.0635)The 95% confidence interval for the proportion of all smart phones that break before the warranty expires is between 0.0525 and 0.0635.
If many groups of 1666 randomly selected smart phones are selected, then a different confidence interval would be produced for each group. About 95 percent of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires and about 5 percent will not contain the true population proportion.
Learn more about the word warranty here,
https://brainly.com/question/27919230
#SPJ11
HELP PLS CLICK TO SEE THE QUESTION!!!
Answers
Answer:
3 1/4
Step-by-step explanation:
1) Convert 6 1/2 into a fraction and add it to 1/2.
6 -> 12/2
12/2 + 1/2 = 13/2
2) Divide the result by 2 (or multiple the result by the reciprocal of 2)
13/2 x 1/2 = 13/4 or 3 1/4
Hope this helped ^^
The following system of linear equations is shown in the graph.
y=1/4x+5
x-4y=4
How many solutions does the system of linear equations have?
A. No solution
B. Infinitely many solutions
C. One solution at (4,0)
D. One solution at (0,-1)
Answers
Answer:
Step-by-step explanation:
The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.
A. No solution
y = 1/4x+5
x - 4y = 4
You can simplify the second equation into y = 1/4x - 1
Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.
A pet store sold 2 birds. They sold 6 times as many turtles as they sold birds. How many turtles did they sell?
Answers
Answer:
12
Step-by-step explanation:
"6 times as many birds..." in other words 6 x 2
The number of turtles that was sold by the pet store given the number of birds sold is 12.
How many turtles are sold?
Multiplication is a mathematical operation that involves determining the product of two or more numbers. The sign used to represent multiplication is x.
Number of turtles were sold = 2 x 6 = 12
The data given below correspond to the weights in kg of eighty people. Get the mean and the mode.
Answers
ANSWERS
• Mean: 67.025
,• Mode: 67
EXPLANATION
The mean is the sum of all the data, divided by the amount of data,
\(\bar{x}=\frac{1}{n}\sum_{i\mathop{=}1}^nx_i\)In this case, the amount of data is 80,
\(\bar{x}=67.025\)Hence, the mean of this data set is 67.025.
The mode is the value or values in the data set that occurs most frequently. It is easier to find if we order the data set,
The value 67 occurs 9 times, while the second most frequent value is 66, which occurs 7 times.
Hence, the mode of this data set is 67.
find the area of the region between y=x1/2 and y=x1/3 for 0≤x≤1.
Answers
We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.
To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units
Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question but the answer has been provided in the format requested.
To know more about square units visit:
https://brainly.com/question/2411992
#SPJ11
An investor purchased 100 shares of stock in a company for $20 per share. One year later, the investor sold all the shares for $1,950. What is the investor's rate of return?
A. -2.5%
B. -1.6%
C. 2.5%
D. 1.6%
Answers
The investor's rate of return is given as follows:
A. -2.5%.
How to obtain the rate of return?The rate of return is obtained applying the proportions in the context of the problem.
An investor purchased 100 shares of stock in a company for $20 per share, hence the total cost of the purchase was of:
20 x 100 = $2000.
One year later, the investor sold all the shares for $1,950, hence the return was of:
1950 - 2000 = -$50.
Then the rate of return is calculated as follows:
-50/2000 = -2.5%.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Pls give simple working out
Answers
Answer:
x = 33
Step-by-step explanation:
∡ CBE = ∡DBA = 57°
The sum of the interior angles of a triangle results 180°
∡BDA = it´s a right angle = 90°
Then:
57° + 90° + x = 180°
147° + x = 180°
x = 180° - 147°
x = 33°
I need help on this!!!
Answers
Answer:
m<2 = 134°
m<3 = 46°
m<4 = 134°
Step-by-step explanation:
Because of vertical angles theorem, m<1 is congruent to m<3.
to find the m<2 and m<4 you need to subtract 46 from 180.
because m<2 and m<1 are adjacent and on a transversal line, they are equal to 180°
Hope this helps!❤
1. Differentiate the function f(x) = ln (81 sin^2 (x)) f’(x) 2. Differentiate the function P(t) = in ( √t2 + 9) p' (t) 3. if x2 + y2 + z2 = 9, dx/dt = B, and dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)
dz/dt =
Answers
First you will get 4dz
HELP ASAP!!! Below is a bus schedule to Boston from your town. You want to spend the least amount of time on the bus. Which is the best route for you to take to Boston?
Answers
The best route to take to Boston so that you can spend the least amount of time on the bus is D. Route 4.
How to find the route ?To find the route that would involve spending the least amount of time on the bus, you need to find the difference between the time the bus leaves and the time it arrives.
The time for Route 1 is:
= 6 : 15 - 4 : 45
= 1 hour 30 minutes
Route 2:
= 7 : 15 - 5 : 30
= 1 hour 45 minutes
Route 3 :
= 6 : 50 - 5 : 15
= 1 hour 35 minutes
Route 4 :
= 7 : 00 - 5 : 45
= 1 hour 15 minutes
Route 4 is therefore the best route.
Find out more on routes at https://brainly.com/question/17429103
#SPJ1
The femur, or thigh bone, of an average human is 480 millimeters long. The spinal cord of an average human is 45 centimeters long. What is the total length of a spinal cord and a femur, in meters?
Answers
Answer: 0,93 meter
Step-by-step explanation:
480mm = 48cm
48 + 45 = 93cm
93cm = 0.93m
The total length of a spinal cord and a femur, in meters, is 0.93.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Given that the femur, or thigh bone, of an average human, is 480 millimeters long. The spinal cord of an average human is 45 centimeters long.
The total length will be calculated as below:-
The value of 480mm will be 48 centimeters.
48 + 45 = 93cm
93cm = 0.93m
Therefore, the total length of a spinal cord and a femur, in meters, is 0.93.
To know more about unit conversion follow
https://brainly.com/question/141163
#SPJ2
Given: ABCD is a parallelogram; BE | CD; BF | AD
Prove: BA EC = FA BC
Answers
Using the properties of parallelograms and the given information, we proved that BAEC is equal to FABC. We utilized angle-angle similarity and the proportional relationships of corresponding sides in similar triangles to establish the equality.
To prove that BAEC = FABC, we will use the properties of parallelograms and the given information.
Given:
ABCD is a parallelogram.
BE is parallel to CD.
BF is parallel to AD.
To prove:
BAEC = FABC
Proof:
Since ABCD is a parallelogram, we know that opposite sides are parallel and equal in length. Let's denote the length of AB as a, BC as b, AD as c, and CD as d.
Since BE is parallel to CD and AD is parallel to BF, we have angle ABE = angle CDF and angle ADB = angle BFD.
By alternate interior angles, angle CDF = angle FAB.
Now, we have two pairs of congruent angles: angle ABE = angle CDF and angle ADB = angle BFD.
Using angle-angle similarity, we can conclude that triangle ABE is similar to triangle CDF and triangle ADB is similar to triangle BFD.
As the corresponding sides of similar triangles are proportional, we have the following ratios:
AB/CD = AE/CF (from triangle ABE and triangle CDF similarity)
AD/BC = BD/CF (from triangle ADB and triangle BFD similarity)
Cross-multiplying the ratios, we get:
AB * CF = CD * AE (equation 1)
AD * CF = BC * BD (equation 2)
Adding equation 1 and equation 2, we have:
AB * CF + AD * CF = CD * AE + BC * BD
Factoring out CF, we get:
CF * (AB + AD) = CD * AE + BC * BD
Since AB + AD = CD (opposite sides of a parallelogram are equal), we have:
CF * CD = CD * AE + BC * BD
Simplifying, we get:
CF = AE + BC
Therefore, we have shown that BAEC = FABC.
For more such question on parallelograms. visit :
https://brainly.com/question/970600
#SPJ8
The straight line depreciation equation for a luxury car is y = −3,400x + 85,000.
a. What is the original price of the car?
b. How much value does the car lose per year?
c. How many years will it take for the car to totally depreciate?
Answers
The original price of the car is 85,000. b. The car loses 3,400 in value per year. c. The car will totally depreciate after 25 years. This is because 85,000 divided by 3,400 equals 25.
What is value?Value in math is the result of a mathematical operation or equation. It is a number or quantity assigned to a mathematical expression. Value can also refer to the worth of an object or activity, such as the value of a specific type of currency or the value of a certain action. Value can refer to the magnitude of a number or a quantity relative to other numbers or quantities, such as the value of a particular number on a scale.
a. The original price of the car can be calculated by setting x=0 in the equation, which gives 85,000. This means that the original price of the car is 85,000.
b. The value of the car decreases by 3,400 per year. This is calculated by looking at the coefficient of x in the equation, which is −3,400. This means that for every year that passes, the value of the car decreases by 3,400.
c. The car will take 25 years to totally depreciate. This is calculated by setting the equation equal to 0 and solving for x. The equation 0 = −3,400x + 85,000 can be rearranged to x = 25. This means that the car will take 25 years to totally depreciate.
To know more about value click-
https://brainly.com/question/843074
#SPJ1
What is the answer???
Answers
Answer:
I believe it's A, but I may be wrong. I am sorry if I'm wrong.
Answer:
-8, -3 ,2, 4
Step-by-step explanation:
hope it helps
In a study of cell phone usage and brain hemispheric dominance, an internet survey was e-mailed to subjects randomly selected from an online group involved with ears. There were surveys returned. Use a 0. 01 significance level to test the claim that the return rate is less than 20%. Use the p-value method and use the normal distribution as an approximation to the binomial distribution.
Answers
The statistics z is -1.878 and the p value is 0.0302
Given,
Number of random sample selected, n = 6967
Number of surveys returned, x = 1331
Estimated proportion of return rate;
p = 1331/6967 = 0.192
Significance level, ∝ = 0.01
z would represent the statistic
We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:
Null hypothesis, p₀ ≥ 0.2
Alternative hypothesis, p₀ < 0.2
The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)
That is,
z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878
Using the alternative hypothesis and the following probability, we can now get the p value:
p value = p(z < - 1.878) = 0.0302
We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.
Learn more about statistics here;
https://brainly.com/question/16528376
#SPJ4
Mark is 19 years old. He buys 50/100/50 liability insurance, and collision and comprehensive insurance, each with $750 deductibles. What is his total annual premium?
Answers
Adding all estimates, Mark's total annual premium could be around $1900-$2000. However, it's important to note that this is just an estimate, actual premium could be significantly higher or lower.
What is total annual premium?Total annual premium is the amount of money paid over the course of a year for an insurance policy.
It includes the cost of the policy itself, and is calculated based on the type and amount of coverage provided, as well as the policyholder's risk profile and the insurance company's rates.
Mark's total annual premium will depend on a variety of factors, including his age, driving history, location, and the insurance company he chooses. However, we can estimate his premium based on some assumptions.
First, let's define the coverage Mark purchased. His liability insurance is 50/100/50, which means he has coverage for:
$50,000 bodily injury liability per person
$100,000 bodily injury liability per accident
$50,000 property damage liability per accident
Mark also purchased collision and comprehensive insurance, each with a $750 deductible. Collision insurance covers damage to his car in the event of an accident, while comprehensive insurance covers damage from other incidents such as theft, vandalism, or weather events.
Assuming Mark has a clean driving record and lives in an area with moderate insurance rates, his liability insurance premium could be around $400-$500 per year. Collision and comprehensive insurance typically cost more than liability insurance, so we could estimate his premium for these at around $1500 per year.
To know more about insurance policy visit:
https://brainly.com/question/26479675
#SPJ1
A system of linear equations is shown below.
{2m+4p=22
{6m+12p=66
Complete the statement by selecting the correct phrase from the provided list.
The system of linear equations has _________________________.
A unique solution
no solution
inf many solutions
Answers
Answer: No solution
Step-by-step explanation:
2m+4p=22
6m+12p=66
First, to choose one variable to simplified, I choose to find 1st equations in m form.
2m+4p=22
2m=22-4p [Subtract 4p from both side]
m=22/2 - 4/2p [Divide 2 on both side to find m]
m= 11 - 2p
6m+12p=66
6(11-2p)+12p=66 [Plug in the 11-2p in to m,according to the 1st equation]
66-12p+12p=66
The -12p has cancel with 12p, so it means that there is no solution
A city's population is 1300 and growing at 7% a year. (a) Find a formula for the population, P, at time t years from now assuming that the 7% per year is an annual rate or a continuous annual rate.
Answers
The formula for calculating the population, P, of a city at time t years from now, assuming a growth rate of 7% per year, can be expressed as P = 1300 * (1 + 0.07)^t. This formula applies to both the case of an annual growth rate and a continuous annual growth rate.
To find the formula, we start with the initial population of 1300. The growth rate of 7% per year means that the population increases by 7% each year. In the case of an annual growth rate, we can express this as (1 + 0.07), where 0.07 represents the decimal equivalent of 7%. By multiplying the initial population by this factor repeatedly for t years, we obtain the formula P = 1300 * (1 + 0.07)^t.
In the case of a continuous annual growth rate, we use the exponential growth formula, which is P = P0 * e^(rt), where P0 is the initial population, e is the base of the natural logarithm (approximately 2.71828), r is the continuous growth rate (in decimal form), and t is the time in years. In our scenario, the continuous growth rate is 7% or 0.07. Substituting the given values into the formula, we get P = 1300 * e^(0.07t).
Both formulas yield the population, P, at time t years from now, taking into account the 7% growth rate. The choice between using the annual growth rate formula or the continuous annual growth rate formula depends on the specific context and assumptions of the problem.
Learn more about exponential growth here:
https://brainly.com/question/13674608
#SPJ11
CH. 15. THE GREENHOUSE EFFECT 1. Taking d
Vermes
=1.08×10
13
cm,r
⊙
=6.96×10
50
cm, and T
0
=5800 K as we had before, calculate T
5s
for Venus. (Remember to take the square root.) 2. How does this compare with the 700 K temperatures measured by Venus probes on the surface of Venus? 3. Use the formula at the beginning of this section with an average distance of Mars from the Sun of 2.28×10
13
cm, to calculate a T
SS
for Mars. 4. How does your calculated temperature compare with the observed subsolar temperature of Martian soil of 300 K ? 5. Compare and contrast the greenhouse effect Mars and Venus. Although the subsolar surface temperature on Mars would be quite pleasant, the average temperature for the planet's surface is about 212 K, far below the 273 K freezing point of water. However, photos have clearly shown that there are dry riverbeds on Mars, so water must have been liquid there at some time in the past. 6. Given the fact that Mars has extensive polar caps of frozen water and frozen CO
2
, can you guess how liquid water could have existed on Mars at times in the past?
Answers
1. T5s = (1.08x10¹³ cm * (6.96x10⁵⁰ cm² / dVenus²))0.25 2. This
discrepancy is due to the greenhouse effect on Venus, where the thick
atmosphere traps heat and causes a much higher temperature. 3. TSS =
(1.08x10¹³ cm * (6.96x10⁵⁰ cm² / (2.28x10 cm)²))0.25. 4. different from the
observed subsolar.
1. To calculate T5s for Venus, we can use the formula
T5s = (\(Vermes * (r^{2} / dVenus^2))^{0.25}\).
Plugging in the given values, we have
T5s = (1.08x10¹³ cm * (6.96x10⁵⁰ cm² / dVenus²))0.25.
2. The measured surface temperature on Venus is around 700 K, which is significantly higher than the calculated T5s.
This discrepancy is due to the greenhouse effect on Venus, where the thick atmosphere traps heat and causes a much higher temperature.
3. Using the formula TSS = (\(Vermes * (r^2 / dMars^2))^{0.25}\),
we can calculate TSS for Mars. With the given average distance of Mars from the Sun (2.28x10 cm),
we have TSS = (1.08x10^13 cm * (6.96x10⁵⁰ cm² / (2.28x10 cm)²))0.25.
4. The calculated TSS for Mars is likely to be different from the observed subsolar temperature of Martian soil (300 K).
This difference can be attributed to various factors, such as the greenhouse effect, atmospheric composition, and surface conditions.
5. The greenhouse effect on Mars and Venus has distinct impacts on their surface temperatures.
While the subsolar surface temperature on Mars is relatively pleasant, the average temperature across the planet is about 212 K, well below the freezing point of water (273 K).
In contrast, Venus experiences a much higher average temperature due to the extreme greenhouse effect, resulting in surface temperatures of around 700 K.
6. The presence of extensive polar caps of frozen water and CO2 on Mars suggests that liquid water could have existed on the planet in the past.
One possible explanation is that Mars underwent climate changes, causing the frozen water and CO2 to melt and form liquid water.
However, further research is needed to fully understand the mechanisms behind the presence of liquid water on Mars in the past.\
To know more about temperature, visit:
https://brainly.com/question/7510619
#SPJ11
Pls help Algebra1 pls help help help
Answers
Answer:
80
Step-by-step explanation:
80+10=90
90/18 = 5
Answer:
W=80
For both equations, you can substitute W for 80 and it would work/be true.
The odds of choosing one black ball from an urn are 5 to 8. What is the probability of getting a black ball
Answers
The probability of getting a black ball is 5/13, if odds of choosing one black ball fron urn are 5 to 8.
According to the given question.
The odds of choosing one black ball from an urn are 5 to 8.
As we know that "the odds for an event is the ratio of the favorable outcomes to the unfavorable outcomes".
Therefore,
The favorable outcomes of getting black ball = 5
Unfavorable outcomes of getting black ball = 8
So, total outcomes = 5 + 8 = 13
Thereofre,
The probability of getting a black ball
= favorable outcomes/ total number of outcomes
= 5/13
Hence, the probability of getting a black ball is 5/13.
Find out more information about odds and probability here:
https://brainly.com/question/12437886
#SPJ4