Answers
Hello!
A = πr² = 3*(8ft)² = 3*64ft² = 192ft²
Related Questions
Write an equation that represents the following transformation.
f(x)=|x| ; vertical stretch by a factor of 3 followed by a translation 7 units down.
Pls help asap
Answers
Answer:
For example, if a function increases three times as fast as its parent function, it has a stretch factor of 3. To find the vertical stretch of a graph, create a function based on its transformation from the parent function, plug in an (x, y) pair from the graph and solve for the value A of the stretch
A triangle has a perimeter of 91 centimeters. Each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle.
Answers
9514 1404 393
Answer:
13 cm, 39 cm, 39 cm
Step-by-step explanation:
If x is the short side, then the other two sides are 3x and 3x. The perimeter is the sum of side lengths:
x +3x +3x = 91
x = 91/7 = 13
3x = 3(13) = 39
The length of the short side is 13 cm; the other two sides are 39 cm.
Six students write an exam. The average score obtained on the exam by the group of students is 71%. If the first two students each obtained a mark of 73%, while the next three students each obtained a mark of 68%, what was the mark obtained by the sixth student?
Answers
The first two students obtained a mark of 73%, which gives us a total of 73 + 73 = 146 marks.
The next three students obtained a mark of 68% each, which gives us a total of 68 + 68 + 68 = 204 marks.
The average score obtained by the group is 71%. Since there are six students, the total marks obtained by all six students would be 6 * 71 = 426 marks.
To find the mark obtained by the sixth student, we can subtract the total marks obtained by the first five students from the total marks obtained by all six students: 426 - (146 + 204) = 76 marks.
Therefore, the mark obtained by the sixth student is 76%.
Help plzzzzzzz!! Thanks
Answers
Answer:
m > 1
Step-by-step explanation:
m+6 > 7
m > 7-6
m > 1
a) (10 pts) Re-express the given differential equation as a first order differential equation by utilizing matrix
and vector notation and in accordance with ()
= () form.
b) (10 pts) Is the system obtained in (a) stable, neutrally stable of unstable? Determine this using matrix.
c) (10 pts) Compute the eigenvalues and eigenvectors of matrix.
d) (10 pts) Using the results computed in (c) find and matrices and show that =
−
relationship
(i.e., the diagonalization relationship) is a valid relationship.
e) (10 pts) Compute () by utilizing your knowledge gained in previous items and obtain the mathematical
expression of () from this vector.
Answers
a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation,
let's define the vector \(x(t) = [x1(t), x2(t)]\)and rewrite the equation in the form
\(\frac{dx(t)}{dt } = Ax(t)\),
where A is a 2x2 matrix.
Let's express the given equation in matrix-vector form:
\(\frac{d}{dt} t(x1(t)) [2 ,1] [x1(t)]\)
\(\frac{d}{dt} (x2(t)) = [4 3] \times [x2(t)]\)
b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.
If all eigenvalues have negative real parts, the system is stable.
If any eigenvalue has a positive real part, the system is unstable.
If there is at least one eigenvalue with zero real part, the system is neutrally stable.
c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation
\(\Delta (A - \lambda I) = 0\),
where λ is the eigenvalue and I is the identity matrix.
The eigenvalues obtained will give us insight into the stability of the system.
d) Once we have computed the eigenvalues and eigenvectors, we can express matrix A in terms of its eigenvectors and eigenvalues.
Let's assume
\(A = PDP^{(-1)\),
where P is the matrix whose columns are the eigenvectors of A, and D is a diagonal matrix with the eigenvalues of A on the diagonal.
e) Finally, we can compute the solution x(t) by utilizing the knowledge gained in previous steps.
We can express x(t) as
\(x(t) = P \times exp(Dt) \times P^{(-1) }\times x(0)\),
where exp(Dt) is the matrix exponential of D.
By evaluating this expression, we obtain the mathematical expression of x(t) in terms of the initial condition x(0).
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Determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicitly as a function of x and use implicit differentiation.
y - ln y = x^2 + 1, dy/dx = 2xy/y - 1
x^2 + y^2 = 4, dy/dx = x/y
e^xy + y = x - 1, dy/dx = e^-xy - y/e^-xy + x
Answers
Answer:
dont know
Step-by-step explanation:
Please help me! Thank you
Answers
Answer: 4
Step-by-step explanation: how i know by guessing
Mr. Ed earns $15.50 per hour. His regular hours are 40 hours per week, and he receives
time-and-a-half overtime. Find his total pay for a week in which he works 45 hours.
Answers
Answer:
For the first 40 hours that Mr. Ed works, he earns his regular rate of pay, which is $15.50 per hour. So, his regular pay for the week is:
40 hours x $15.50 per hour = $620
For the additional 5 hours he works, he earns overtime pay at a rate of time-and-a-half, which is 1.5 times his regular pay rate. So, his overtime pay for the week is:
5 hours x $15.50 per hour x 1.5 = $116.25
Therefore, Mr. Ed's total pay for the week in which he works 45 hours is:
$620 (regular pay) + $116.25 (overtime pay) = $736.25.
Point One = (0, -2) = Point Two = (-3, -5)
write in slope intercept form
Answers
Answer: m=1
Step-by-step explanation:
Use the equation y=y2-y1 over x2-x1
1. label your points
0=x1
-2=y1
-3=x2
-5=y2
The first pair is x1 and y1 and the next pair is x2 and y2
plug in the numbers to find your answer
What is the slope of the line that passes through the points E(5, 1) and F(2, 7)?
A) 8/3
B) 3/8
C) -3/8
D) -8/3
Answers
Answer:
I would say it's B(3/8)
Answer:
7 - 1/2 - 5 = 6/-3 = -2
Step-by-step explanation:
None of those answers are correct the answer is -2
Use an associative law to find an expression equivalent to
s + (r + 75)
Answers
As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.
The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.
Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:
s + (r + 75) = (s + r) + 75
The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.
Let's take an example to illustrate this:
Suppose s = 10 and r = 20.
Using the original expression:
s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105
Using the expression with regrouped terms:
(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105
As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.
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Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
Answers
The theoretical probability of spinning red is given as follows:
1/3.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:
2/6 = 1/3.
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Solve the application problem. Ricky used a square piece of fabric to make a banner for a pep rally. The length of each side of the fabric was 4 feet. Find the perimeter of the piece of the piece of fabric. 18 feet 16. feet 9 feet 204 feet
Answers
Answer:
16 ft.)
Step-by-step explanation:
You would first do 4 x 4 since there is 4 sides, which would give you 16
hope you have a good day!
An angle measures 79.4 degrees more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
The angles are: 50.3 and 129.7
Step-by-step explanation:
The sum of supplementary angles is 180°.
Let x be one angle then the other angle will be x+79.4
Using the supplementary angle sum
\(x+x+79.4 = 180\\2x+79.4 = 180\\2x = 180-79.4\\2x = 100.6\\\frac{2x}{2} = \frac{100.6}{2}\\x = 50.3\)
For the measurement of 2nd angle
x+79.4 => 50.3+79.4 => 129.7
Hence,
The angles are: 50.3 and 129.7
What is an equation of the line thatpasses through the point (-1,-3) and is parallel to the line 4x-y=2?
Answers
Answer:
Explanation:
First, you put the equation into the standard “slope/intercept” form.
4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :
y = 4x - 2
In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.
y = 4x - a (generic)
ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.
We find this by putting our point value into the equation:
3 = 4(-2) + a ; 3 = -8 + a ; a = 11
Thus, our “parallel line equation” through the point (-2,3) is:
y = 4x + 11
Answer:
y = 4x + 1
Step-by-step explanation:
first put the equation 4x-y=2 into the form y = mx + b where m is the slope and b is the y-intercept (for example, y = 2x - 1 would have 2 is the slope and -1 is the y-intercept)
4x - y = 2
subtract 4x from both sides
-y = -4x + 2
multiply both sides by -1
y = 4x - 2
That means the slope of this line is 4.
Parallel lines always have the same slope, so the slope of the new line is also 4. You can again put the new equation into the form y = mx + b. You already know that the slope is 4, so y = 4x + b.
Next, you need to find b. You know that (-1, -3) is a solution, so if you plug x = -1 and y = -3 into the equation, it should be true.
You can put that into the equation to solve for b:
-3 = 4 * -1 + b
-3 = -4 + b
1 = b
This means the equation is y = 4x + 1
The sum of 1/2 and 1/3 is?
Answers
Answer:
5/6
Step-by-step explanation:
Fill in the missing numbers to complete the linear equation that gives the rule for this tablk.
ху
3 -44
4
-30
5
-16
6
-2
y =
Submit
Answers
Answer:
the answer is thrusdays wink wink if you know what I mean
Step-by-step explanation:
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Answer:
y = 14x - 86
Step-by-step explanation:
slope m = change in y ÷ change in x
= (-2 - -16) ÷ (6 - 5) = 14
Therefore, using y = mx + b
y = 14x + b
Substituting (6, -2) into y = 14x + b to find b:
-2 = (14 x 6) + b
-2 = 84 + b
b = -86
Therefore, y = 14x - 86
Please help will mark Brainly
Answers
Answer:
f(x) = - 2x + 4
Step-by-step explanation:
Since we are only trying to move the graph up 3 units, the slope does not change. So, it would be -2.
We also know that the 1 in f(x)= -2x + 1 is the y-intercept (y=mx+b). But again, we are moving the graph 3 units up, so we have to add 3. That makes it 4 (3+1=4).
So, the new equation would be f(x) = -2x + 4
Step-by-step explanation:
it simply means that g(x) is f(x) just shifted 3 units upwards.
that means nothing else changes, only whatever y result f(x) produces is increased by 3.
so,
g(x) = f(x) + 3 = -2x + 1 + 3 = -2x + 4
therefore, as domain and range were the whole set of real numbers, the addition of 3 does not make any difference in relation to infinity. so, they remain unchanged.
the slope stays the same (g(x) is simply a parallel line to f(x)).
the y-intercept (the y-value when x = 0) also increases by 3, and is 4.
the x-intercept (the x-value when y = 0) changes :
0 = -2x + 4
2x = 4
x = 2
the x-intercept is 2.
If a video is getting 20,000 views every 5 hours, how long will it
take to reach 44,000 views?
Answers
4,000 every hour
40,000 = 10 hours
40,000 + 4,000 = 44,000= 11 hours
\(\( y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t \)\)
Answers
The value of intergal \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\) is
\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)
In mathematics, an integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the two main tools used in calculus and are used to calculate areas, volumes, and their generalizations.
The integral \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\) can be evaluated by first completing the square and then using the substitution method.
Completing the square gives us \(( 3 t^{4} -1 = (3t^{2} -1)^{2} \)\).
We can now make the substitution \(( u = 3 t^{2} -1 \)\)).
Differentiating, we get \(( du = 6t dt \)\)).
Therefore, the integral can be written as\(y=\int_{-2}^{x} \sqrt{(3t^{2}-1)^{2}} \frac{du}{6t} \)\).
Solving the integral, we get:
\(y = \frac{1}{6} \sqrt{(3t^{2}-1)^{2}} +C \)\)
Substituting back into the equation, we get the answer as:
\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)
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gegygwugduwbudbwbdubwudbuwh7fh7whf8hw8hf8hw8hf8e
Answers
Answer:
yes
Step-by-step explanation:
grehrehshbrenjt5rahtrere
Pls someone help me if you can !!
Answers
Answer:
1890 cubic inches
from the given set of numbers which is an odd one out, 2,6,28,23,7,64
Answers
Evan has a points card for a movie theater.
He receives 55 rewards points just for signing up.
He earns 4.5 points for each visit to the movie theater.
He needs 100 points for a free movie ticket.
Write and solve an equation which can be used to determine xx, the number of visits Evan must make to earn a free movie ticket.
Answers
Answer:
X=10
Step-by-step explanation:
4.5x +55=100
Answer:
X=10
Step-by-step explanation:
4.5x +55=100
Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
Answers
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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an amusment park sold 9.728$ worth of admission tickets for a seciak roller coaster at night expirement each ticket cost 38$ how many tickets were sold for the special event show your work
Answers
Answer:
256
Step-by-step explanation:
The revenue from the sale of n tickets at $38 each is given as ...
38n = 9728 . . . . total sales from special event tickets
Dividing by the coefficient of n gives the number of tickets:
n = 9728/38 = 256
256 tickets were sold for the special event.
The equation Y= X^2/2 - 8 and Y= 2X -2 are graphed below what are the solutions to the equation X^2/2 - 8 = 2X -2 
Answers
The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.
To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.
The equation is:
X^2/2 - 8 = 2X - 2
To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:
X^2 - 16 = 4X - 4
Next, we rearrange the equation to have all terms on one side:
X^2 - 4X - 12 = 0
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:
(X - 6)(X + 2) = 0
Setting each factor equal to zero gives us two possible solutions:
X - 6 = 0 --> X = 6
X + 2 = 0 --> X = -2
So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.
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the measures of ABD is (0.2x+52) and the measures of CBD is (0.2x+42) find the value of x
Answers
The value of x in the triangle is determined as 45.
What is the value of x?The value of x in the triangle is calculated by applying the following formula,.
The measure of angle ABD = 0.2x + 52
The measure of angle CBD = 0.2x + 42
From the diagram, we can set-up the following equations;
x + 16 = 0.2x + 52
Simplify the equation above, by collecting similar terms;
x - 0.2x = 52 - 16
0.8x = 36
Divide both sides of the equation by " 0.8 "
0.8x / 0.8 = 36/0.8
x = 45
Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.
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A shirt cost the store $50. The mark up on the shirt was 10%. What was the selling price of the shirt?
Answers
Step-by-step explanation:
10 ÷ 100 =0.1 × 50 = 5
50 + 5 = 55
the selling price of the shirt is $ 55
Answer:
Step-by-step explanation:
10%*50 then simplify do 0.1*50
50 + 5 = 55
the selling price of the shirt is $ 55
(p^2n^1/2)^0
√ p^5n^4 equivalent to p^18n^6 √p?
Answers
The two expressions are not equivalent.
To simplify the expression (p^2n^1/2)^0 √ p^5n^4, we first need to understand the properties of exponents and radicals.
Recall that any number raised to the power of zero is equal to 1, so (p^2n^1/2)^0 = 1.
Next, we can simplify the radical term by multiplying the exponents inside and outside the radical:
√ p^5n^4 =
(p^5n^4)^(1/2)
= p^(5/2)n^(4/2)
= p^(5/2)n^2
Combining this result with the previous step, we have:
(p^2n^1/2)^0 √ p^5n^4
= 1 * p^(5/2)n^2
= p^(5/2)n^2
This is not equivalent to p^18n^6 √p. In fact, p^(5/2)n^2 cannot be simplified any further without additional information about the expression. ,
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