Answers
Answer:
the length is 3y^{2}
the wight 4+7y^{3}
Step-by-step explanation:
Answer:
the length is 3y^{2}
the wight 4+7y^{3}
Step-by-step explanation:
Related Questions
The height of lava fountains spewed from volcanoes cannot be measured directly. Instead, their height in
meters can be found using the equation
where y represents the height, g is 9.8, and t represents the falling time of the lava rocks. Find the height in
meters of a lava rock that falls for 5 seconds.
Answers
The height in meters of a lava rock that falls for 5 seconds will be 122.5 meters.
The missing function is y = 1/2 gt².
What is a function?A function is a remark, tenet, or regulation that establishes a relationship between the two parameters.
The height of lava fountains spewed from volcanoes cannot be measured directly.
Instead, their height in meters can be found using the equation is given as
y = 1/2 gt²
where y represents the height, g is 9.8, and t represents the falling time of the lava rocks.
Then the equation will be
y = 1/2 × 9.8 × t²
y = 4.9t²
Then the height in meters of a lava rock that falls for 5 seconds will be
y = 4.9 x 5²
y = 122.5 meters
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what's the value of the expression when f=-4,g=5, and h=3/4? -8h-2(5+f³)+7g².
Answers
When f = -4, g = 5, and h = 3/4, the value of the expression -8h - 2(5 + f³) + 7g² is 287.
To find the value of the expression -8h - 2(5 + f³) + 7g² when f = -4, g = 5, and h = 3/4, we substitute these values into the expression and simplify step by step.
Let's begin with the given expression:
-8h - 2(5 + f³) + 7g²
Substituting f = -4, g = 5, and h = 3/4, we have:
-8(3/4) - 2(5 + (-4)³) + 7(5)²
Simplifying further:
-6 - 2(5 + (-4)³) + 7(25)
Now, let's simplify the terms inside the parentheses:
-6 - 2(5 + (-4)³) + 175
Inside the parentheses, (-4)³ equals -64:
-6 - 2(5 - 64) + 175
Continuing to simplify:
-6 - 2(-59) + 175
Multiplying -2 by -59 gives us 118:
-6 + 118 + 175
Now, we can add the numbers together:
112 + 175
The sum is:
287
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f(x) = 3x for x = –4
Answers
Answer:
Step-by-step explanation:
f(x)=3x+x^4. f(x)=3x+x4 f ( x ) = 3 x + x 4.
Select all the statements that are true for △ABC.
Answers
Answer:
A,C,D
Step-by-step explanation:
Find a number such that the sum and three times its reciprocal is 91/20.
Answers
For this exercise you need to remember the following:
1. The sum is the result of an Addition.
2. By definition, given:
\(\frac{a}{b}\)Its reciprocal is:
\(=\frac{b}{a}\)3. The word "times" indicates a Multiplication.
In this case, let be "n" the number mentioned in the exercise. Its reciprocal is:
\(\frac{1}{n}\)Based on the information given in the exercise, you can set up the following equation:
\(n+3(\frac{1}{n})=\frac{91}{20}\)Now you must solve for "n":
1. Simplify:
\(\begin{gathered} n+\frac{3}{n}=\frac{91}{20} \\ \\ \frac{(n)(n)+3}{n}=\frac{91}{20} \\ \\ \frac{n^2+3}{n}=\frac{91}{20} \\ \\ n^2+3=\frac{91}{20}n \end{gathered}\)2. Make the equation equal to zero:
\(n^2-\frac{91}{20}n+3=0\)3. Apply the Quadratic formula. This is:
\(n=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)In this case:
\(\begin{gathered} a=1 \\ b=-\frac{91}{20}_{} \\ \\ c=3 \end{gathered}\)Substituting values and evaluating, you get:
\(\begin{gathered} n=\frac{-(-\frac{91}{20})\pm\sqrt[]{(-\frac{91}{20})^2-2(1)(3)}}{2\cdot1} \\ \\ n_1=\frac{15}{4} \\ \\ n_2=\frac{4}{5} \end{gathered}\)The answer
There are two numbers:
\(\begin{gathered} n_1=\frac{15}{4} \\ \\ n_2=\frac{4}{5} \end{gathered}\)
Answer:
0.8 and 3.75.
Step-by-step explanation:
If the number is x, then:-
x + 3 * 1/x = 91/20
x^2 + 3 = 91x/20
x^2 - (91/20)x + 3 = 0
x^2 - 4.55x + 3 = 0
x = [-(-4.55) +/- sqrt((-4.55)^2 - 4*1*3)] / 2
x = 0.8, 3.75.
simplify
(5+i) (2+3i)
Answers
Answer:
5+1=6,2+3=5 6times 5is equal 30
Answer:
7+17i
Step-by-step explanation:
(5+i)(2+3i)
Multiply complex numbers 5+i and 2+3i like you multiply binomials.
By definition, \(i^{2}\) is -1.
5×2+5×(3i)+2i+3(−1)
Do the multiplications.
10+15i+2i−3
Combine the real and imaginary parts.
10−3+(15+2)i
Do the additions.
7+17i
How to get rid of a square root in the denominator?.
Answers
Step-by-step explanation:
you multiply both the top and bottom by the root if it was alone.
let's say if we had (1 - sqrt(2)) in the denominator. here we multiply both the numerator and the denominator by the conjugate.
the conjugate is formed by changing the sign between two terms in a binomial. so in this case the conjugate is
(sqrt(2) -1)
make sure to ask if you need any further guidance :)
sketch on the same axes the graphs of y= |x| and y= |x| - 2. Label the x- and y-intercepts. In what respects are the two graphs similar? In what respects do they differ?
Answers
Answer:
Another method to graph a line in the xy-axis or xy-plane is to use its intercepts. What are intercepts? These are points of the line that are found on the xx and yy axes. There are two kinds of intercepts.
The first one is called the x-intercept because it is the point of the line located on the horizontal axis (x-axis).
The second is the y-intercept which is the point of the line located on the vertical axis (y-axis).
Step-by-step explanation:
Need 6 and 7 done please and thank you
Answers
Answer:
black
black
Step-by-step explanation:
Use the Intermediate Value Theorem to show that at least one zero lies in the given interval for the given polynomial. f (x) = x^3 - 6x + 1, between x = 2 and x = 3 Substitute x = 2 and x = 3 into the function and simplify. f (2) = f (3) = Interpret the results using the Intermediate Value Theorem. Because f is a polynomial function and since f (2) it and f (3) is, there is at least one real zero between x = 2 and x =
Answers
Proved that at least one zero lies in the interval x = 1 and x = 2 for the given polynomial
The polynomial is given by
f(x) = \(x^3\) - 6x + 1
We have to show that at least one zero lies in the given interval for the given polynomial using the intermediate value theorem
When the value of x = 2
Substitute the value of x in the polynomial
f(2) = (2)^3 - 6(2) + 1
= 8 - 12 + 1
= -3
When the value of x = 3
Substitute the value of x in the polynomial
f(3) = (3)^3 - 6(3) + 1
= 27 - 18 + 1
= 10
Here the value of f(2) is negative and the value of f(3) is positive therefore there is at least one real zero between x = 1and x = 2
Hence, proved that at least one zero lies in the interval x = 1 and x = 2 for the given polynomial
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Please someone help urgently❤️❤️
Answers
Answer:
Step-by-step explanation:
C. 319 meters
Let A = [¹] [24] a. Determine P that diagonalizes A. b. Can you predict the diagonal matrix D without further calculations? c. Calculate D = P-¹AP by calculating the inverse of P and multiplying the 3 matrices.
Answers
A. The required matrix answer is-
P = [x₁ x₂]
= [23 25] [-1 1]
P⁻¹ = (1/48) [-25 -25] [1 23]
B. We can predict the diagonalatrix
D = [23 0] [0 -25]
C. D = P-¹AP
By calculating the inverse of P and multiplying the 3 matrices.
D = [-575 0] [0 575]
Given matrix is
A = [¹] [24]a.
a. Diagonalizing A:
A = [¹] [24]
To diagonalize A, we have to find its eigenvalues and eigenvectors.
|A - λI| = 0
|[¹ - λ] [24] | = 0
| [24] [¹ - λ]|
(1 - λ)(1 - λ) - 24.24 = 0
λ² - 2λ - 575 = 0
(λ - 23)(λ + 25) = 0
Eigenvalues are λ₁ = 23 and λ₂ = -25.
Eigenvector for λ₁ = 23:
(A - λ₁I)x = 0
[¹ - 23] [24] [x₁] = [0]
[0] [¹ - 23] [x₂] [0]
x₁ - 23x₂ = 0
x₁ = 23x₂
Eigenvector for λ₂ = -25:
(A - λ₂I)x = 0
[¹ + 25] [24] [x₁] = [0]
[0] [¹ + 25] [x₂]=[0]
x₁ + 25x₂ = 0
x₁ = -25x₂
Let P = [x₁ x₂] be the matrix of eigenvectors.
Then P⁻¹AP = D is the diagonal matrix whose diagonal entries are the eigenvalues of A.
P = [x₁ x₂]
= [23 25] [-1 1]
P⁻¹ = (1/48) [-25 -25] [1 23]
b. Diagonal matrix D:
We can predict the diagonal matrix D without further calculations because D is obtained by replacing the eigenvalues of A along the diagonal of a square matrix of size n.
Therefore,
D = [23 0] [0 -25]
c. D = P⁻¹AP:
D = P⁻¹AP
D = (1/48) [-25 -25] [1 23] [¹ 24] [23 -25]
D = (1/48) [-25 -25] [1 23] [23 24(25)] [-23 24(23)]
D = [-575 0] [0 575]
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please help it is due in 10 minutes
Answers
Answer:
1. X= 4
2. X= 1
3. X= 3
4. X= 5
5. X= 7
6. X= -3/4
7. X= 6
8. X= 5
Step-by-step explanation:
Answer:
Look below :)
Step-by-step explanation:
1.x=4
2.×=1
3.x=3
4.x=5
5.x=7
6.x=-0.75
7.x=6
8.x=5
Hope this helps :)
Prove or disprove the following claims: (a) If X, 4, X and Yn dy X, then Xn – Yn 470. - dy0 (b) If Xn P X and Yn PX, then Xn + Yn "_ X+Y. P n
Answers
(a) If X, 4, X, and Yn dy X, then Xn – Yn 470. - dy0
The given statement is false and therefore needs to be disproved.
Counter example:Let X=1 and Yn = 5 then, (X, 4, X, Yn dy X) would be (1, 4, 1, 5).
Therefore, Xn – Yn would be 1 - 5 = -4 which is less than 0.
This is in contradiction with the given statement, hence disproved. (b) If Xn P X and Yn PX, then Xn + Yn "_ X+Y.
P n The given statement is true.
Proof:If Xn P X and Yn PX then Xn + Yn P X + X = X + Y.
Hence, the claim is proved.
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According to the given information,
(a) the claim is false.
(b) the claim is true.
(a) Claim: If X, 4, X and Yn dy X, then Xn – Yn 470. - dy0
Counterexample: Let X = 3 and Yn = n.
Then X, 4, X and Yn dy X (since 4 is between X = 3 and X = 3).
However, Xn – Yn = Xn – n = 3n – n = 2n is not always greater than or equal to 470.
So the claim is disproved.
(b) Claim: If Xn P X and Yn PX, then Xn + Yn "_ X+Y. P n
Proof: Let ε > 0 be given.
Since Xn P X, there exists N1 such that for all n ≥ N1 we have |Xn - X| < ε/2.
Similarly, since Yn P X, there exists N2 such that for all n ≥ N2 we have |Yn - X| < ε/2.
Then for n ≥ max{N1, N2}, we have
|Xn + Yn - (X + Y)| = |(Xn - X) + (Yn - Y)| ≤ |Xn - X| + |Yn - Y| < ε/2 + ε/2 = ε.
So Xn + Yn P X + Y.
Hence the claim is true.
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HELLLPPP NOW PLSSSS. Describe what a slope of -5 means in terms of x and y.
Answers
Answer:
slope is y2 -y1 over x2 over x1
so your slope should be y/x= 5
x move by 1 and y by 5
What are the values of x, y, and z?
help asap
Answers
Answer:
x = 111; y =36; z = 76
Step-by-step explanation:
The sum of the interior angles of a triangle will add up to zero and a line that divides a straight line into to parts will have a sum of angles of 180 degrees. Use this information to add and subtract the angles to find x, y, and z.
These are the answers
Mrs Themba buys a weekly bus pass for herself and her two children. They live in Blue Downs. Mrs Themba works in Rondebosch and her children attend school in Cape Town. Use the Golden Arrow Fare Table (weekly bus passes) to answer the following questions: Route (return trip) Atlantis - Cape Town Atlantis - Koeberg Power Station/Melkbos Bellville - Cape Town Bellville - Hanover Park Bellville - Welgemoed Blue Downs - Claremont/Rondebosch Blue Downs - Cape Town Blue Downs - Wynberg Bothasig - Cape Town Weekly Bus Pass (R) 174 90 95 99 63 109 114 109 93 4.1 Calculate the total bus fare cost for Mrs Themba's family per week. 4.2 Mrs Themba finds a good job in Bellville, so she decides to move her family to Bellville and to continue to send her children to school in Cape Town. Calculate the cost per bus trip per child.
Answers
part a. the total bus fare cost for Mrs Themba's family per week is R337.
part b. The cost per bus trip per child is found to be around R9.50.
What is cost?Cost is described as an amount that has to be paid or spent to buy or obtain something.
The cost of a weekly bus pass from Blue Downs to Rondebosch = R109.
We then find the , the total cost per week for Mrs. Theba's family
1 x R109+ 2 x R114 = R337
part b.
The cost of a weekly bus pass from Bellville to Cape Town = R95.
We find the cost per bus trip per child as:
R95 / 10 = R9.50
So in conclusion, the cost per bus trip per child is R9.50.
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in how many ways can people be seated in a row of chairs if three of the people, john, wilma, and paul, refuse to sit in three consecutive seats?
Answers
The total number of ways to seat the people in a row such that John, Wilma, and Paul refuse to sit in three consecutive seats is 4320.
There are a few different ways to approach this problem, but one possible method is to use the principle of inclusion-exclusion.
We start by counting the total number of ways to seat the people in a row of chairs without any restrictions. Since there are n chairs, there are n! ways to seat the people in a row.
Next, we count the number of ways to seat the people in a row such that John, Wilma, and Paul are seated in three consecutive seats. Since there are n-2 chairs between the three chairs that John, Wilma, and Paul are not allowed to sit in, there are (n-2)! ways to seat the people in a row such that John, Wilma, and Paul are seated in three consecutive seats.
Finally, we use the principle of inclusion-exclusion to find the total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats.
The total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats is n! - (n-2)!
For example, if there are 7 chairs, the total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats is 7! - (7-2)! = 5040 - 720 = 4320
So, the total number of ways to seat the people in a row such that John, Wilma, and Paul refuse to sit in three consecutive seats is 4320.
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If you multiply me by 4 and increase that value by 6, I am 34! What's my number?
Answers
Answer:
7
Step-by-step explanation:
Seven times four equals 28 plus six equals 34 please make me brainliest :3
Answer:
7
Step-by-step explanation:
34-6=28
28/4=7
hope this helps!
abc is a right triangle with ab=ac. bisector of <a meets bc at d. prove that bc = 2ad.
Answers
Answer:
Let ac=ab=5
With this, bc= 5√2
Step-by-step explanation:
So to find ad, Let ad be x
5√2=(2)(x)
(5√2/2)= x
This proves that bc=2ad
help me solve this problem
Answers
hajshsbsgvsnshhsysabaoababzha usiwonsbsgsuwjanajaiownwnsdhbxksosbesmksi
basta yan yong answer
Sam has twice as many as books as Jim. If Sam gives 12 books to Jim, they will have the same number of books. How many books do they have altogether?
Answers
Answer:
48
Step-by-step explanation:
Sam had 36 books
Jim had 12
after same gave Jim 12 books, they each had 24 books
In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.
How long is DEDED, E?
Choose 1 answer:
Answers
Answer:
DE = 4.24
Step-by-step explanation:
The diagram is not shown; However, the question can still be solved without the diagram.
Having said that,.
Given that
DF = EF = 3
This implies that DE is the hypothenus and will be solved using Pythagoras theorem.
DE² = EF² + DF²
Substitute 3 for EF and DF
DE² = 3² + 3²
DE² = 9 + 9
DE² = 18
Take Square Root of both sides
DE = √18
DE = 4.242640687119285
DE = 4.24 (Approximated)
A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in a table, shown below. Use the technology to find the correlation coefficient. Interpret this value.
Answers
Knowing your personal strengths and weaknesses will help to keep your goal a. within your skills and abilities c. both of these b. within its timeline d. none of these please select the best answer from the choices provided a b c d
Answers
The correct choice is within your skills and abilities.
Once you get to determine things you are capable of and things you are not capable of, you will be able to concentrate on your strengths more. This will in turn produce big results as compared to if you opted to concentrate on your weaknesses.
It will also result in no or less time wasted in doing what you are less capable of.
Its almost close to impossible to be able to do everything. Each person is gifted in a certain area or skill or capability. We are all different and that's okay.
Its so important to concentrate in the areas you are more comfortable with. This will help you much with improving your skills and abilities.
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Answer:
Step-by-step explanation:
a you just had to say a
please help quickly thank you
Answers
Answer:
d is the answer
Step-by-step explanation:
D is the answer.
Kevin ate 3 apples. This represents 20% of the bag of apples. How many apples were originally in the bag?
Answers
what is the slope if y=5/6x
Answers
Answer:
The slope for this equation is m=5/6.
The function g(x) contains the point (3,- 5). How is this point represented using function
notation?
a. g(-3) = 5
b. g(3) = -5
C. g(5) = -3
d. g(-5) = 3
Answers
Answer:
Step-by-step explanation:
The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.5, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with a standard deviation of 0.5.a. What is the mean (±0.1)of the average number of moths x in 30 traps?b. What is the standard deviation? (±0.001)c. Use the central limit theorem to find the probability (±0.01) that the average number of moths in 30 traps is greater than 0.4.
Answers
The mean, standard deviation, of the average number of moths in 30 traps is approximately 0.5 ± 0.018 and is approximately 0.5 respectively. The probability that the average number of moths in 30 traps is greater than 0.4 is approximately 0.965 ± 0.01.
The mean of the average number of moths in 30 traps can be calculated as the mean of a sample of 30 trap counts, where the mean of each sample follows a normal distribution with mean 0.5 and standard deviation 0.5/sqrt(30) (using the standard error of the mean formula). Therefore, the mean of the average number of moths in 30 traps is:
mean = 0.5 ± 0.1/sqrt(30) = 0.5 ± 0.018
So the mean of the average number of moths in 30 traps is approximately 0.5 ± 0.018.
The standard deviation of the average number of moths in 30 traps can also be calculated using the standard error of the mean formula:
standard deviation = standard error of the mean * sqrt(sample size)
standard deviation = 0.5/sqrt(30) * sqrt(30) = 0.5
So the standard deviation of the average number of moths in 30 traps is approximately 0.5.
Using the central limit theorem, we can assume that the sample mean of the 30 traps follows a normal distribution with mean 0.5 and standard deviation 0.5/sqrt(30). We want to find the probability that the average number of moths in 30 traps is greater than 0.4.
To do this, we can standardize the sample mean using the formula:
z = (sample mean - population mean) / (standard deviation / sqrt(sample size))
z = (0.4 - 0.5) / (0.5/sqrt(30)) = -1.8257
Using a standard normal distribution table or calculator, we can find the probability that Z is greater than -1.8257, which is approximately 0.965. Therefore, the probability that the average number of moths in 30 traps is greater than 0.4 is approximately 0.965 ± 0.01.
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