The area of the triangular prism is 22.5cm^2.
We are given that;
Sides are 15 centimeter this is PCs 24 centimeter width 6 centimetre and height is 9 centimeter
Now,
To find the volume of a triangular prism, you need to multiply the area of the triangular base by the height of the prism. The area of a triangle can be calculated using Heron’s formula, which states that the area of a triangle with sides of length a, b, and c is sqrt(s * (s-a) * (s-b) * (s-c)), where s is the semiperimeter of the triangle, calculated as (a + b + c) / 2.
The semiperimeter s is (15 + 24 + 6) / 2 = 22.5 cm. Plugging these values into Heron’s formula, we get that the area of the triangular base is \(sqrt(22.5 * (22.5 - 15) * (22.5 - 24) * (22.5 - 6)) = sqrt(506.25) = 22.5 cm^2.\)
Therefore, by the triangular prism the answer will be 22.5cm^2.
Learn more about triangular prisms here:
https://brainly.com/question/16261758
#SPJ1
Identify the statistical test in which the mean difference between two groups are compared to a distribution of differences between means.
a. independent-samples t test
b. paired-samples t test
c. z test
d. single-sample t test
The statistical test in which the mean difference between two groups are compared to a distribution of differences between means is (b) paired-samples t-test.
The t-test, one of the most used statistical tests, is used to ascertain whether the means of two groups are equal. The test's underlying presumption is that samples from normal distributions with similar variances were used for both groups.
The two means are equal, which is the null hypothesis; otherwise, they are not. We can calculate a t-statistic that will follow a t-distribution with n1 + n2 - 2 degrees of freedom under the null hypothesis.
To learn more about t-test here:
https://brainly.com/question/15870238
#SPJ4
Find a particular solution to the differential equation using the Method of Undetermined Coefficients. y" - y' + 25y = 5 sin (5t) A solution is yo(t)
A particular solution to the differential equation is yo(t) = cos (5t).
To find a particular solution to the differential equation y" - y' + 25y = 5 sin (5t) using the Method of Undetermined Coefficients, we assume a particular solution of the form:
yp(t) = A sin (5t) + B cos (5t)
where A and B are undetermined coefficients that we need to determine.
Taking the derivatives of yp(t), we have:
yp'(t) = 5A cos (5t) - 5B sin (5t)
yp''(t) = -25A sin (5t) - 25B cos (5t)
Substituting these derivatives and yo(t) into the original differential equation, we get:
(-25A sin (5t) - 25B cos (5t)) - (5A cos (5t) - 5B sin (5t)) + 25(A sin (5t) + B cos (5t)) = 5 sin (5t)
Simplifying the equation, we get:
-25A sin (5t) - 25B cos (5t) - 5A cos (5t) + 5B sin (5t) + 25A sin (5t) + 25B cos (5t) = 5 sin (5t)
Canceling out the terms and coefficients, we have:
-5A cos (5t) + 5B sin (5t) = 5 sin (5t)
To satisfy this equation, the coefficients of the trigonometric functions must be equal. Therefore, we have:
-5A = 0 (coefficient of cos (5t))
5B = 5 (coefficient of sin (5t))
Solving these equations, we find A = 0 and B = 1.
Hence, the particular solution to the given differential equation is:
yp(t) = B cos (5t) = cos (5t)
Therefore, a particular solution to the differential equation is yp(t) = cos (5t).
Learn more about differential equation here
https://brainly.com/question/32562372
#SPJ4
a 10ounce containerof milk contains 200 calorieshow many calories does each ounce of milk contain.
Answer:
Each ounce contains 20 calories.
Step-by-step explanation:
200/10 = 20/1
20/1 simplified is 20.
Answer:
20 calories per ounce
Step-by-step explanation:
if 200 calories is in 10 ounces of milk, then you can divide 200 by 10; 200 ÷10=20 calories per ounce
Solve for y please and thank you
Answer:
c) y = 8\(\sqrt{3}\)
Step-by-step explanation:
in a 30-60-90° Δ the ratio of the sides, respectively, is 1: \(\sqrt{3}\) : 2
if the side opposite the 30°∡ is 8 then 'y' is 8\(\sqrt{3}\) and 'x' is 16
(a) A = = (b) A = 2 2 4 1 -2 -2 -7] -4
By multiplying matrices B and A, we obtain the product BA. Using BA, we can solve the system of equations y + 2z = 7, x - y = 3, and 2x + 3y + 4z = 17.the values of x, y, and z are -1, 2, and 1 respectively
To find the product BA, we multiply matrix B with matrix A. The resulting matrix will have the same number of rows as B and the same number of columns as A. The product BA will be used to solve the given system of equations.
The product BA can be computed by multiplying each row of matrix B by each column of matrix A and summing the results. The resulting matrix will be:
Now, we can use the product BA to solve the system of equations:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
1 -1 2
2 3 1
0 4 2
We can rewrite this system of equations as:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
By comparing the coefficients of x, y, and z in the system of equations with the entries in the matrix BA, we can determine the values of x, y, and z.
Solving the system of equations using matrix BA, we get:
x = -1,
y = 2,
z = 1.
Therefore, the values of x, y, and z are -1, 2, and 1 respectively.
Learn more about matrices here
https://brainly.com/question/30646566?referrer=searchResults
#SPJ11
The complete question is:
Given A=
⎣2 2 -4|
|-4 2 -4|
|2 -1 5|
, B=
⎣1 -1 0|
⎢2 3 4|
⎢0 1 2|
, find BA and use this to solve the system of equations y+2z=7, x−y=3, 2x+3y+4z=17.
If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)? m
Answer:x − x^{2} − 1.
Step-by-step explanation:
.
Marian wishes to buy a new computer that will cost her $300. She receives $5 per hour for babysitting her younger brother and $4 per hour for helping her mother with chores. Each week she babysits her brother for 4 hours and helps her mother with chores for 10 hours. How many full weeks must she work to earn enough money to buy the computer?
Answer:5 weeks
Step-by-step explanation: Multiply the amount of hours and money she gets from baby sitting and chores and add the answers together. This equals 60 dollars a week. 300 divided by 60 is 5.
Subtracting Polynomials. (3x^2 - 4x) – (5x – x^2 )
A. 2x^2 – 9x
B. 4x^2 – 9x
C. 2x^2 + x
D. 4x^2 + 9x
Step-by-step explanation:
(3x^2-4x)-(5x-x^2)
= 3x^2-4x-5x+x^2
= 3x^2+x^2-4x-5x
= 4x^2-9x
therefore, option B us the correct answer.
By the subtracting the polynomials, 4x² - 9x is correct.
How to subtract polynomialsGiven polynomial is:
\(\sf (3x^2 - 4x) - (5x - x^2 )}\)To subtract the given polynomials.
\(\sf (3x^2 - 4x) - (5x - x^2 )}\)
In this polynomial - goes inside the two terms of 2nd polynomial.
\(=\sf 3x^2-4x-5x-x^2\)
Negative of negative is positive.
\(\sf 3x^2-4x-5x+x^2\)
Arrange the like terms together.
\(\sf =3x^2+x^2-9x\)
\(\sf =4x^2 - 9x\)
Writing the terms from highest to lowest degree.
\(= \sf 4x^2 - 9x\)
\(\sf (3x^2 - 4x) - (5x - x^2 )=\bold{4x^2 - 9x}\).
Thus, by the subtracting the polynomials, 4x² - 9x is correct.
Learn more about subtracting polynomials at:
https://brainly.com/question/15980532
BRAINLEST ANSWER + POINTS
These triangles are
congruent by the
triangle congruence
postulate [ ? ].
Please be right
Answer:
They are not Congruent = A
Step-by-step explanation:
Its not congruent because the left one is slightly a little bit bigger than the right. If you look close enough you can see that. Plus if you add the lines together the right one is slightly tilted.
Please help this is so hard!!
Answer:
x is corresponding with the angle that equals 130 so it equals 130 too
Step-by-step explanation:
City Carpet advertises that they can install 1,200 square feet of carpet in 212 hours. Indicate whether each rate below is equivalent to this rate.
equivalent not equivalent
960 square feet of carpet in 2 hours
1,000 square feet of carpet in 134 hours
1,560 square feet of carpet in 314 hours
Answer:
Step-by-step explanation:
City Carpet and Flooring advertises that they can install 1,200 square feet
of carpet in 2 hours. Select whether each installation rate has the same
unit rate, in square feet per hour, as City Carpet and Flooring. 7.RP.1,7.NS.3
Yes No
0
0
0
0
960 square feet of carpet in 2 hours
1,000 square feet of carpet in 12 hours
320 square feet of carpet in hour
Which is the answer to it
Answer:
um we cant hear the sound part so
Step-by-step explanation:
At what point does the line y = -1/3x + 5 cross the x-axis? Write your answer as an ordered pair. (x, y)
determine if the following scale factor would be an enlargement or reduction.
scale factor: 2.5
Answer: Enlargement
Step-by-step explanation: If the number is larger than 1 it is an enlargement if it is smaller it is a reduction.
Answer:
It would be an enlargement
Step-by-step explanation:
You are moving each point 2.5 units out
Elena and Jada each make money by helping out their neighbors. Elena babysits. Her earnings are given by the equation y=8.40x, where x represents how many hours she works and y represents how much money she earns. Jada earns $7 per hour mowing her neighbors' lawns. Who makes more money after working 12 hours?
Answer:
Because Elena receives a higher value per hour, she earns $16.8 more than Jada.
Step-by-step explanation:
Giving the following information:
Elena:
y=8.40x
Jada:
y= 7x
We need to calculate the total income for 12 hours:
Elena:
y=8.40*12
y= $100.8
Jada:
y= 7*12
y= $84
Because Elena receives a higher value per hour, she earns $16.8 more than Jada.
Help pleasssse find the slope
Answer:
4
Step-by-step explanation:
4/1 or 4
y over x, and simplify
Answer:
1 by 2 is o
Step-by-step explanation:
so slope is 1 by 2 of o .
72 = 4s
S=
What does s =?
Answer:
72 = -4s
72 / (-4) = (-4s) / (-4)
-18 = s
An equation is given.
2x = 26
which calculation would need to be done to solve the equation?
a. divide both sides by 2
b. divide both sides by 26
c. multiply both sides by 2
d. multiply both sides by 26
Answer:
option A is correct answer
divide both sides with 2
hope it helps
Answer:
option A is the right condition to be fulfilled to solve the equation.
What are the solutions to 3( x + 2)(x – 9) = 0
Mark Brainliest if correct:
x = -2, 9
Step-by-step explanation:
x2: x + 2 = 0
x = -2
x1: x - 9 = 0
x = 9
x = -2, 9
Evaluate. Write your answer as a whole number or as a simplified fraction. 9^-8 / 9^-6
Answer:
Answer would be 1/81 or 0.01 as a decimal rounded to the nearest hundredth
Which of the following will cause a logical error if you are attempting to compare x to 5?
Answers:
a. if (x >= 5)
b. if (x = 5)
c. if (x == 5)
d. if (x <= 5)
Logical Error: In computer programming language, a logic error is a bug or in a program or code that causes it to operate incorrectly, but not to terminate abnormally (or crash).
A logic error developed unintended or undesired output or other behavior, although it may not immediately be recognized as such.
For example, assigning a value to the wrong variable may cause a many of unexpected program errors.
These errors can be programmer mistakes or sometimes machine less memory to load the code.
if(x>=5) {
// program
}
else if(x==5) {
//program
}
else(x<=5) {
//program
}
they all do not give any error.
x=5 gave an error because it is value assigning to 5.
To know more about Logical Error:
https://brainly.com/question/28957248
#SPJ
Evaluate 3xy ^2 - 5 for x = 5, y = 8
Answer:
955
Step-by-step explanation:
8 squared = 64
x 3 X 5 = 960
-5
= 955
Help me out please an thank you
Answer:
equivalent is the aswer
PLEASE HELP ASAP!!! THANK YOU! please!
Answer: 5. x=33, y= 33, z=114
Step-by-step explanation: the triangles and supplementary lines all add to 180, so find one of them, and use that one to find the others
Answer:
180 degrees
Step-by-step explanation:
1. Subtract the two known angles from 180 degrees.
2. Plug the two angles into the formula and use algebra: A+B+C= 180 degrees.
Hope this helped.
an athlete suspected of using steroids is given two tests that operate independently of each other. test a has probability 0.9 of being positive if steroids have been used. test b has probability 0.8 of being positive if steroids have been used. what is the probability that neither test is positive if steroids have been used? (a) 0.72 (c) 0.02 (e) 0.08 (b) 0.38 (d) 0.28
The probability that neither test is positive if steroids have been used is; 0.02
How to find the conditional probability?
We are told that;
Probability of test A being positive if steroids have been used is; P(A is positive) = 0.9
Probability of test B being positive if steroids have been used is; P(B is positive) = 0.8
Thus;
P(Both A & B are positive if steroids have been used) = 0.9 * 0.8 = 0.72
P(A is positive and B is not positive if steroids have been used ) = 0.9 * (1 - 0.8) = 0.18
P(A is not positive and B is positive if steroids have been used ) = (1 - 0.9) * 0.8 = 0.08
P(Neither A nor B are positive if steroids have been used) = 0.1 * 0.2 = 0.02
Read more about Conditional probability at; https://brainly.com/question/23382435
#SPJ1
Linear inequalities often model the limits of real world variables. Suppose the difference between two numbers must be greater than 8. The inequality x - y > 8 can be used to represent the difference between these two unique numbers so that their difference is exceeds 8. X = a real number Y = a real number Use the inequality to verify each of the given coordinates (x, y) will satisfy this condition. (7,4),(3.8, 3) and (0,9).
The given inequality is
\(x-y>8\)The given coordinates are (7,4), (3.8, 4) and (0,9).
Let's evaluate each coordinated pair in the inequality to see which one satisfies it.
For (7,4).
\(\begin{gathered} 7-4>8 \\ 3>8 \end{gathered}\)Since 3 is not more than 8, we say (7,4) is not a solution.
For (3.8, 4).
\(\begin{gathered} 3.8-4>8 \\ -0.2>8 \end{gathered}\)Since -0.2 is not more than 8, we say (3.8, 4) is not a solution.
For (0,9).
\(\begin{gathered} 0-9>8 \\ -9>8 \end{gathered}\)Since -9 is not more than 8, we say (0,9) is not a solution.
Therefore, neither given point is a solution of the given inequality.PLEASE HELP PLEASE HELP PLEASE HELP IM BEGGING PLEASE HELP PLEASE HELP!!!
Answer:
a) 390
b) 239
c) 151
Step-by-step explanation:
a) 30 + 15 + 45 + 300 = 390
b) 160 + 30 + 9 + 40 = 239
c) 390 (income) - 249 (expenses) = 151 pounds (profit)
Supppose that we want to solve the Travelling Salesman Problem
(TSP) which is represented as a weighted graph G. Given a vertex
v, we can nd the 1-tree lower bound for the TSP by computing
a minimum spanning tree T on the graph G n v, then adding the
two shortest edges from v to T. Explain why the 1-tree lower
bound is indeed a lower bound on the solution to the TSP.
The 1-tree lower bound is a valid lower bound on the solution to the Traveling Salesman Problem (TSP) because it provides a lower limit on the optimal solution's cost.
To understand why the 1-tree lower bound is valid, let's consider the definition of the TSP. In the TSP, we are given a complete graph with vertices representing cities and edges representing the distances between the cities. The goal is to find the shortest Hamiltonian cycle that visits each city exactly once and returns to the starting city.
In the context of the 1-tree lower bound, we start with a given vertex v and compute a minimum spanning tree (MST) T on the graph G excluding the vertex v. An MST is a tree that spans all the vertices with the minimum total edge weight. It ensures that we have a connected subgraph that visits each vertex exactly once.
Adding the two shortest edges from v to T creates a 1-tree. This 1-tree connects the vertex v to the MST T. By construction, the 1-tree includes all the vertices of the original graph G and has a total weight that is at least as large as the weight of the optimal solution.
Now, let's consider the Hamiltonian cycle of the TSP. Any Hamiltonian cycle must contain an edge that connects the vertex v to the MST T because we need to return to the starting vertex after visiting all other cities. Therefore, the optimal solution must have a cost that is at least as large as the cost of the 1-tree.
By using the 1-tree lower bound, we have effectively obtained a lower limit on the optimal solution's cost. If we find a better solution with a smaller cost, it means that the 1-tree lower bound was not tight for that particular instance of the TSP.
In summary, the 1-tree lower bound is a valid lower bound on the TSP because it constructs a subgraph that includes all the vertices and has a cost that is at least as large as the optimal solution. It provides a useful estimate for evaluating the quality of potential solutions and can guide the search for an optimal solution in solving the TSP.
Learn more about Cost here :
https://brainly.com/question/14566816
#SPJ11
if we define our population as all the households in the city of chicago, and we use the chicago telephone directory from which to draw our sample units, we would likely have: a. a survey with sample frame error. b. a representative survey. c. a survey containing error. d. a census.
If we define our population as all the households in the city of Chicago and use the Chicago telephone directory to draw our sample units, we would likely have a survey with sample frame error. Correct option is A.
Sample frame error occurs when the sampling frame, in this case, the Chicago telephone directory, does not accurately represent the population of interest.
In this case, the telephone directory would exclude households without a landline phone or those who choose not to have their phone number listed. This means that the sample would not include all households in the population, leading to biased results.
A representative survey (option B) would be one in which the sample accurately represents the population in terms of relevant characteristics such as age, gender, income, education, and other important demographic factors.
In contrast, a survey containing error (option C) is a general term that includes both sampling error and non-sampling error, such as measurement error or response bias.
Finally, a census (option D) is a study in which data is collected from all individuals or units in a population, not just a sample. Therefore, using a telephone directory to draw a sample from the population does not constitute a census.
In conclusion, using the Chicago telephone directory to draw a sample of households would likely result in a survey with sample frame error, which can lead to biased results and limit the generalizability of the findings to the entire population.
To learn more about survey click on,
https://brainly.com/question/15086554
#SPJ4
Which expression is m.m.m.m.m rewritten in exponential form
Answer: M^5
Step-by-step explanation: M•M•M•M•M
Answer:
M^5
Step-by-step explanation:
M×M×M×M×M =M^5