If ABC ~ AMN and AM = 6, MB = 4, AN = 8, then what is
the value of NC?
According to the question, the information provided makes it impossible to assess the value of NC?
Describe the tetrahedron.Tetrahedrons, also called triangle pyramids, are polyhedra with four trapezoidal faces, six edges that are level, and four vertex corners. The tetrahedron, which additionally happens to be the most straightforward of them all, is the only regular symmetric polygon with lower than five faces. The cylindrical structure at the base of the triangle is made of tetrahedra. If an object has four triangular-shaped faces, it is a tetrahedron. Regular Tetrahedrons are the ones that have equilateral triangle bases and isosceles triangle faces. A polyhedron has four sides.
Two comparable triangles, and ABC and AMN, are present in the given issue, because where "" indicates similarity.
The details are as follows:
AN = 8 AM = 6 MB = 4
We receive a request to determine NC's value.
The ratios of related sides are identical in similar triangles, which have proportionate sides. Using the equivalent ends of ABC and AMN, we can establish a ratio:
NC/AN = AB/AM
replacing the specified values:
AB/6 = NC/8
We can traverse-multiply and then use that result to solve for NC:
8 x AB 6 x NC 8 x AB 6 x NC
(Simplifying by dividing the two sides by 2) NC = (8AB)/6 NC = (4AB)/3
Since we do not have a specific value for AB or any additional information about the triangles, we cannot determine the exact value of NC. We can only express it in terms of AB, which is not provided in the given problem. Therefore, the value of NC cannot be determined with the information given.
To know more about tetrahedron visit:
https://brainly.com/question/17132878
#SPJ1
IN MATLAB!!!!!!!!!!!!!!!!!!!
Q2) The periodic discrete signals are given as \( x[n]=\{3,-2,6,-5\},(n=0,1,2,3) \) and \( h[n]=\{7,-3,4,7\},(n= \) \( 0,1,2,3) \) a) Compute the periodic or circular convolution of these signals manu
To compute the periodic or circular convolution of two discrete signals in MATLAB, you can use the `cconv` function. Here's an example of how to calculate the circular convolution of signals \(x[n]\) and \(h[n]\):
```matlab
x = [3, -2, 6, -5];
h = [7, -3, 4, 7];
N = length(x); % Length of the signals
c = cconv(x, h, N); % Circular convolution
disp(c);
```
The output `c` will be the circular convolution of the signals \(x[n]\) and \(h[n]\).
Note that the `cconv` function performs the circular convolution assuming periodicity. The third argument `N` specifies the length of the circular convolution, which should be equal to the length of the signals.
Make sure to define the signals \(x[n]\) and \(h[n]\) correctly in MATLAB before running the code.
Visit here to learn more about discrete signals brainly.com/question/33405758
#SPJ11
Five times a number is 28 greater than the product of the number and -2. Find the number
Answer:
4
Step-by-step explanation:
Let the unknown number be x
Five times the number is expressed as 5x
28 greater than the product of the number and -2 is expressed as;
28 + (-2x)
Equating both expressions
5x = 28 + (-2x)
5x = 28 - 2x
5x+2x = 28
7x = 28
x = 28/7
x = 4
Hence the number is 4
For an avian research study, scientists wanted to estimate the local robin population. The scientists captured, tagged, and released 55 robins. A week later, they noted 30 tagged robins out of the 300 robins they counted. To the nearest whole number, what is the best estimate for the robin population?
Answer: The estimated number of robins in the population is 550
Step-by-step explanation: To estimate the population of robins, we will use the Mark-Recapture technique:
1) Capture a small number of individuals, mark them (with tags or other harmless identification) and release them;
2) After a period of time, catch another group and count the ones who have the mark;
3) Estimate the population using:
\(N=\frac{M*C}{R}\)
where
N is the estimate of individuals in the population
M number of individuals marked
C is the total number of individuals captured the second time
R is the number of individuals with the mark recaptured
For the population of robins:
\(N=\frac{55*300}{30}\)
\(N=\frac{16500}{30}\)
N = 550
The best estimate for the robin population is 550.
Which of the following statements about the mean absolute deviation (MAD) is the most accurate? A. It is the square root of the standard deviation. B. It can be a positive number or a negative number. C. It is measured in the same units as the original data. D. It is the arithmetic mean of the squared deviations from the mean.
The most accurate statement about the mean absolute deviation (MAD) is that it is measured in the same units as the original data. MAD is the arithmetic mean of the absolute deviations from the mean, which means that it measures the average distance between each data point and the mean. It is different from standard deviation, which measures the spread of the data around the mean, and is calculated by taking the square root of the arithmetic mean of the squared deviations from the mean. MAD can only be a positive number, as it measures distances. Therefore, the correct answer is C.
C. It is measured in the same units as the original data.
The mean absolute deviation (MAD) is a measure of dispersion or variability in a dataset. It is calculated by finding the arithmetic mean of the absolute deviations from the mean of the dataset. Since the absolute deviations are in the same units as the original data, the MAD is also measured in the same units as the original data.
To learn more about deviation : brainly.com/question/13905583
#SPJ11
is the discriminant of g positive, zero, or negative
Answer: negative
Step-by-step explanation:
the x values are negative
Answer:
negative
Step-by-step explanation:
Simplify 3sqrt(-25) x 3sqrt (5) using the multiplication rule
Given:
3sqrt(-25) x 3sqrt (5)
Required:
Simplify equation using the multiplication rule.
Explanation:
We are going to take common values.
=3sqrt(-25x 5)
=3sqrt(-125)
=3sqrt x (-125)
= -375 sqrt
Required answer:
-375 sqrt
Help please!!!!
Will give brainliest
The amplitude, Period, Horizontal Shift and Vertical Shift of both graphs are as detailed below.
How to interpret features of trigonometric Graphs?
3)a. Amplitude is the distance between the center line and the positive or negative peak of the graph. Thus, the amplitude is 0.5.
b. The period is the time it takes for the graph to repeat or complete one cycle and in this graph, it is 3.
c. Looking at the graph, ideally the coordinate (3, -1.5) should have been on the y-axis which is at (0, -1.5). This means it was shifted by 3 units to the right side.
d. The positive peak should be equal to the negative peak but in this case, it is not so and as such the center should be on the x-axis which means that the graph was shifted down vertically by 2 units.
4) a. Amplitude is the distance between the center line and the positive or negative peak of the graph. Thus, the amplitude is 3 - 1 = 2
b. The period is the time it takes for the graph to repeat or complete one cycle and in this graph, it is 6.
c. Looking at the graph, ideally the coordinate (4, -1) should have been on the y-axis which is at (0, -1). This means it was shifted by 4 units to the right side.
d. The positive peak should be equal to the negative peak but in this case, it is not so and as such the center should be on the x-axis which means that the graph was shifted up vertically by 1 unit.
Read more about trigonometric graph features at; https://brainly.com/question/17075439
#SPJ1
A mystery number is divided by 6000. the result is then multiplied by 41. the final result after 0.31 is added is 0.679. what is the mystery number at first?
Answer:
x = 54
Step-by-step explanation:
Let x be the "mystery number."
If we divide x by 6000 [(x/6000)] and then multiply by 41 [(x/6000)*41] and then add 0.31 [(x/6000)*41 + 0.31], the result is 0.679:
(x/6000)*41 + 0.31 = 0.679
( 41x/6000) + 0.31 = 0.679
( 41x/6000) = 0.369
x = (0.369*(6000))/41
x = 54
What is 4+3x6x(4+3³)² please show work tysm
Answer: 17298^2+4
Step-by-step explanation:
solve 1/4x + 5 = 1/4x
Answer:
No Solution
Step-by-step explanation:
\(1. \: 5 = 0 \\ 2. \: no \: solution\)
determine f(x) and f(x) for the following function. then give the horizontal asymptotes of f, if any.
The function f(x) = (x + 1)^2 / (x - 2)(x + 2), with f(x) = 1.
The function f(x) is given as f(x) = (x^2 + 2x + 1) / (x^2 - 4). To determine f(x) and f(x), we must first factor the numerator and denominator. We can factor the numerator as (x + 1)^2, and the denominator as (x - 2)(x + 2). Thus, f(x) = (x + 1)^2 / (x - 2)(x + 2).
To determine the horizontal asymptotes, we must divide the leading terms of the numerator and denominator. The leading terms are x^2 for the numerator and x^2 for the denominator, so the horizontal asymptotes are y = 1.
Therefore, we can conclude that the function f(x) = (x + 1)^2 / (x - 2)(x + 2), with f(x) = 1.
Learn more about horizontal asymptotes here:
https://brainly.com/question/12699857
#SPJ4
Pls help! No bots pls
Question:
What are the solutions to 8x² − 25x = −24
Answer:
D.) x = \(\frac{(25+\sqrt{143}) }{16}\) and \(\frac{(25-\sqrt{143}) }{16}\)
What is the solution to the system of equations below? x + 3 y = 15 and 4 x + 2 y = 30
Answer:
X=6 y=3 point form (6,3)
Step-by-step explanation:
Answer:
6,3
Step-by-step explanation:
I just took the test and got 100%
Suppose the side length of square A is 6 inches, and the side length of square B is 9 inches. What is the area of square C if the three squares create a right triangle? A 15 in B 54 in? C 108 in? D 117 in
Answer:
D.117 square in
Step-by-step explanation:
We are given that
Side length of square A=6 in
Side length of square B=9 in
We have to find the area of square C if the tree squares create a right triangle.
By using Pythagoras theorem
\((hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2\)
Side of square C
\((Hypotenuse)^2=6^2+9^2\)
\((Hypotenuse)^2=117\)
\(Hypotenuse=\sqrt{117}\)
Now,
The area of square C=\((side)^2\)
The area of square C=\((\sqrt{117})^2=117 in^2\)
Option D is true.
Answer:
sss
Step-by-step explanation:
sss
fvokfdvik
Write an inequality for the following statement.
9 is greater than a
Answer:
9>a
Step-by-step explanation:
The greater than symbol is >
The less than symbol is <
It can be helpful to imagine the signs as little crocodile mouths. They will turn their heads to the biggest catch, or in this case, the greater number. So the open end of the sign will be towards the greater number.
Answer:
9>a
Step-by-step explanation:
the side with the bigger opening means that side of the inequality has a greater value so since 9 is greater than a the bigger opening will go to 9.
WILL MARK YOU BRAINLIEST
Answer:
26. QOR = 59 - 24
= 25
27. POS = 19+31+15
=65
28. ROS = 46 - (61-28)
= 13
find a value of c so that p(z ≥ c) = 0.55.
To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.
Therefore, we have:
P(z ≥ c) = 0.55
P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45
Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.
So, c = -0.126.
Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.
To learn more about distribution : brainly.com/question/29664127
#SPJ11
6. A psychology professor of a large class became curious as to whether the students who turned in tests first scored differently from the overall mean on the test. The overall mean score on the test was 75 with a standard deviation of 10; the scores were approximately normally distributed. The mean score for the first 20 students to turn in tests was 78. Using the .05 significance level, was the average test score earned by the first 20 students to turn in their tests significantly different from the overall mean?
Answer: Z is less than Zc ∴ 1.342 < 1.96
Therefore, Null hypothesis is not Rejected.
There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.
Step-by-step explanation:
Given that;
U = 75
X = 78
standard deviation α = 10
sample size n = 20
population is normally distributed
PROBLEM is to test
H₀ : U = 75
H₁ : U ≠ 75
TEST STATISTIC
since we know the standard deviation
Z = (X - U) / ( α /√n)
Z = ( 78 - 75 ) / ( 10 / √20)
Z = 1.3416 ≈ 1.342
Now suppose we need to test at ∝ = 0.05 level of significance,
Then Rejection region for the two tailed test is Zc = 1.96
∴ Reject H₀ if Z > Zc
and we know that Z is less than Zc ∴ 1.342 < 1.96
Therefore, Null hypothesis is not Rejected.
There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.
Testing the hypothesis, it is found that since the p-value of the test is 0.1802 > 0.05, which means that the average test score earned by the first 20 students to turn in their tests was not significantly different from the overall mean.
At the null hypothesis, we test if the mean is of 75, that is:
\(H_0: \mu = 75\)
At the alternative hypothesis, we test if the mean is different of 75, that is:
\(H_1: \mu \neq 75\)
The test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which:
X is the sample mean.\(\mu\) is the value tested at the null hypothesis.\(\sigma\) is the standard deviation.n is the size of the sample.For this problem, we have that:
\(X = 78, \mu = 75, \sigma = 10, n = 20\)
The value of the test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{78 - 75}{\frac{10}{\sqrt{20}}}\)
\(z = 1.34\)
Since this is a two-tailed test, the p-value of the test is P(|z| < 1.34), which is 2 multiplied by the p-value of z = -1.34.
Looking at the z-table, z = -1.34 has a p-value of 0.0901.
2(0.0901) = 0.1802
The p-value of the test is 0.1802 > 0.05, which means that the average test score earned by the first 20 students to turn in their tests was not significantly different from the overall mean.
A similar problem is given at https://brainly.com/question/15535901
last year, jarod left a job that pays $60,000 to run his own bike-repair shop. jarod’s shop charges $65 for a repair, and last year the shop performed 3,000 repairs. jarod’s production costs for the year included rent, wages, and equipment. jarod spent $50,000 on rent and $100,000 on wages for his employees. jarod keeps whatever profit the shop earns but does not pay himself an official wage. jarod used $20,000 of his savings to buy a machine for the business. his savings were earning an annual interest rate of 5 percent.
Answer: Accounting profit=$90,000 and Economic profit loss= $28,500
Step-by-step explanation:
Accounting profit = Total revenue - Explicit costs Accounting profit = ($65 × 4,000) - ($50,000 + $120,000) Accounting profit = $260,000 - $170,000 Accounting profit = $90,000
Economic profit = Total revenue - (Explicit costs + Implicit costs) Economic profit = ($65 × 4,000) - ($50,000 + $120,000 + Forgone interest on savings + Forgone wages) Economic profit = ($65 × 4,000) - [$50,000 + $120,000 + (0.06 x $25,000) + $60,000] Economic profit (loss) = $28,500
23. We are laying new carpet in the classroom which is 84 square feet. If the width is 5 feet
more than the length, what are the dimensions of the floor?/
Let l be the length of the classroom in feet, and w be the width of the classroom in feet. We know that l + 5 = w and l * w = 84.
We can use these two equations to solve for the length and width of the classroom.
First, we can solve the second equation for l:
l = 84 / w
Substituting this expression for l into the first equation gives us:
84 / w + 5 = w
Expanding the left side of the equation gives us:
84 / w + 5 = w
84 / w = w - 5
84 = w^2 - 5w
w^2 - 5w - 84 = 0
This is a quadratic equation that we can solve using the quadratic formula:
w = (5 + sqrt(5^2 - 4 * 1 * -84)) / 2 * 1
= (5 + sqrt(25 + 336)) / 2
= (5 + sqrt(361)) / 2
= (5 + 19) / 2
= 24 / 2
= 12
Now that we know the value of w, we can substitute it back into the equation l = 84 / w to find the value of l:
l = 84 / 12
= 7
Therefore, the dimensions of the classroom are 7 feet by 12 feet.
Hi guys, Can anyone help me with my geometry. I'm stuck and need this turned in in 10 minutes. I'll give you 15 points! Look at the screenshots below. There are 2 of them.
Answer:
Step-by-step explanation:
Δ SAT ≅ Δ SAO by SAS postulate of congruence
Δ ARE ≅ Δ ARC by SSS postulate of congruence
64 is the product of vidya's height and 4
Answer:
16
Step-by-step explanation:
64 ÷ 4 = 16
What alternative best describe the language represented by the following regular expression? Group of answer choices Strings do not have 2 consecutive 0s. Strings that only start with 1. Strings do not have 2 consecutive 1s. Strings that consist of alternating 0s and 1s.
An alternative that best describes the language represented by the following regular expression is (A) strings do not have 2 consecutive 0s.
What is a regular expression?A regular expression (abbreviated regex or regexp; sometimes known as a rational expression) is a string of letters that indicates a search pattern in the text. String-searching algorithms typically use such patterns for "find" or "find and replace" operations on strings, as well as input validation. In theoretical computer science and formal language theory, regular expression techniques are developed.As an example: Strings do not have two consecutive 0s, which is an alternative that best describes the language represented by the following regular expression (0∪ε)(1∪10).Therefore, an alternative that best describes the language represented by the following regular expression is (A) strings do not have 2 consecutive 0s.
Know more about regular expressions here:
https://brainly.com/question/14085053
#SPJ4
The complete question is given below:
What alternative best describes the language represented by the following regular expression?
(0∪ε)(1∪10)
Group of answer choices
(A) Strings do not have 2 consecutive 0s.
(B) Strings that only start with 1.
(C) Strings do not have 2 consecutive 1s.
(D) Strings that consist of alternating 0s and 1s.
What is the product of −2 1/4 and −4 1/2? Enter your answer as a mixed number, in simplified form, in the box.
Answer:
10 1/8
Step-by-step explanation:
Are lines l & k parallel?
Answer:
yes both lines have a slope of 2, so they are parallel.
Step-by-step explanation:
question r5 sketch a graph of y = f(x) that satisfies the following requirements on the interval 0 <= x <= 10.
To sketch a graph of y = f(x) that satisfies the given requirements on the interval 0 <= x <= 10, we need to have more information about the specific requirements of the function. However, we can make some general suggestions for how to approach the problem.
First, we should determine the type of function we are dealing with. Is it linear, quadratic, exponential, trigonometric, or some other type of function? This will affect the shape of the graph and give us an idea of how to start plotting the points.
Next, we should consider any specific points or features that we need to include in the graph. For example, if the function needs to pass through a certain point or have a certain slope, we can use this information to determine additional points on the graph.
Finally, we should make sure that the graph satisfies the given interval of 0 <= x <= 10. This means that the graph should not extend beyond this range, and any points outside of this interval should be excluded.
Overall, to sketch a graph of y = f(x) that satisfies the given requirements on the interval 0 <= x <= 10, we need to carefully consider the function type and any specific requirements, plot the points accordingly, and make sure the graph is within the given interval.
Learn more about graph:
https://brainly.com/question/17267403
#SPJ11
need to pass this class!
Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.
R(t) = 30t − 3t^2; t = 3
a. Find the average rate of change of R(t) over the time intervals [t, t + h], where t is as indicated and h = 1, 0.1, and 0.01 days. (Use smaller values of h to check your estimates.)
Answer:
-0.061 dollars per day.
Step-by-step explanation:
(R(t + h) - R(t)) / h
We can use this formula to find the average rate of change of R(t) over various time intervals h, starting with t = 3:
For h = 1 day:
R(3 + 1) = 30(3 + 1) - 3(3 + 1)^2 = 27 - 6 = 21
Average rate of change = (21 - 30(3) + 3(3)^2) / 1 = (21 - 27) / 1 = -6
For h = 0.1 day:
R(3 + 0.1) = 30(3 + 0.1) - 3(3 + 0.1)^2 = 29.7 - 8.91 = 20.79
Average rate of change = (20.79 - 30(3) + 3(3)^2) / 0.1 = (20.79 - 27) / 0.1 = -0.61
For h = 0.01 day:
R(3 + 0.01) = 30(3 + 0.01) - 3(3 + 0.01)^2 = 29.93 - 8.9699 = 20.9601
Average rate of change = (20.9601 - 30(3) + 3(3)^2) / 0.01 = (20.9601 - 27) / 0.01 = -0.061
As we can see, as the value of h decreases, the average rate of change approaches a more accurate value. The average rate of change of R(t) at t = 3 days is approximately -0.061 dollars per day.
Please help!! An 11.0 m ladder leans against the side of a building. If the ladder reaches up to the bottom of a
window 9.5 m above the ground, how far is the base of the ladder from the wall? (Draw a diagram pls!)
Base of the ladder is 5.6 m far away from the wall.
What is pythagoras theorem?
The Pythagorean Theorem, also known as the Pythagoras Theorem, is one of the most fundamental theorems in mathematics and it defines the relationship between the three sides of a right-angled triangle. In a right-angled triangle, one of the angles is 90∘, and the side that is opposite to that 90∘ (right) angle is known as the hypotenuse. The other two sides that are adjacent to the right angle are called the legs of the triangle.
It is given that an 11.0 m ladder leans against the side of a building and ladder reaches up to the bottom of a window 9.5 m above the ground.
Diagram of this problem will be right angled triangle having hypotenuse 11 m and perpendicular 9,5 m
Using pythagoras theorem,
\(H^2=P^2+B^2\)
\((11)^2=(9.5)^2+B^2\)
121 = 90.25 + \(B^2\)
\(B^2\) = 121 - 90.25 = 30.75
B = \(\sqrt{30.75}\) = 5.6 m
Therefore, Base of the ladder is 5.6 m far away from the wall.
To learn more about the pythagoras theorem from the given link.
https://brainly.com/question/343682
#SPJ1