Answer:
neitherarithmeticgeometricarithmeticgeometricStep-by-step explanation:
Arithmetic sequences have a common difference. Geometric sequences have a common ratio.
The difference is found by subtracting a term from the next. If successive differences are all the same, they are "common."
The ratio is found by dividing a term by the one before it. If successive ratios are all the same, they are "common."
1.There is no common ratio or common difference: neither.
__
2.The common difference is 14: arithmetic.
__
3.The common ratio is -2: geometric.
__
4.The common difference is -6: arithmetic.
__
5.The common ratio is 1/8: geometric.
I need help with this please and thank you.
The given expression is a fifth-degree polynomial.
When does an expression represent a polynomial?An expression represents a polynomial when these following conditions are satisfied:
Integer exponents.Non-negative exponents.The exponents for this problem are given as follows:
5, 2 and 1.
Hence the function represents a polynomial, of the fifth degree, as the highest exponent is of 5.
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What is an equation of the line that passes through the point (2, 2) and is parallel to
the line x -
2y = 4?
Answer:
you wold have to graph it just put it in the caculater like that
Step-by-step explanation:
Answer: y- 2 = -1/2(x - 2)
Step-by-step explanation:
We need to rewrite it as y=mx+b.
x - 2y = 4
2y = - x + 4
y = -1/2x + 4/2
y = -1/2x + 2
The slope for x - 2y = 4 is -1/2.
In addition, the slope of two parallel line would be the same, the slope of the line that pass through the point (2,2) would be -1/2.
y- y1 = m(x- x1)
y- 2 = -1/2(x - 2)
State the domain and range for the following relation.
{(-4,-1), (3, 2), (0, -3), (1,4)}
Answer:
Step-by-step explanation:
D: {-4,3,0,1]
R:{-1,2,-3,4}
I only need letter D
Answer:
its how much money he will get
Step-by-step explanation:
Please need helppppp
Answer:
90 degrees
Step-by-step explanation:
is 20 even or odd thanks to anyone who help
Answer:
i think its odd sry if im worng
Step-by-step explanation:
jkjk its even
Answer:
20 is even because it can be split in half 10+10=20
Step-by-step explanation:
Find the value of n+p-2q when n=p=q
The value of expression n + p - 2q when n = p = q is 0
In this question, we have been given an expression n+p-2q
We need to find the value of given expression when n=p=q
Consider given expression,
n + p - 2q
Substitute n = p
= p + p - 2q
= 2p - 2q
Now we substitute p = q in above expression,
= 2q - 2q
= 0
Therefore, the value of expression n + p - 2q when n = p = q is 0
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In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
The base of a glass paperweight is a regular hexagon with a side length of
6 centimeters. the area of the base is 93.6 square centimeters. the slant height is 12 centimeters. what is the surface area of the paperweight?
Answer:
The surface area of a solid object like a paperweight is calculated by adding the areas of all its faces. In this case, the paperweight is like a hexagonal pyramid, with a hexagonal base and six triangular sides. The base area has already been given as 93.6 square centimeters.
The six triangles are isosceles triangles, since the base of each triangle is a side of the hexagon, and the slant height is the same for each triangle.
The area of an isosceles triangle is given by the formula:
Area = 1/2 * base * height
For these triangles, the base is 6 cm (side length of the hexagon), and the height is the slant height, which is 12 cm.
So the area of one triangle is:
Area = 1/2 * 6 cm * 12 cm = 36 square cm
Since there are six such triangles, the total area of the triangular faces is:
6 * 36 square cm = 216 square cm
So, the total surface area of the paperweight is the area of the base plus the area of the six triangular faces, or:
93.6 square cm (base) + 216 square cm (sides) = 309.6 square cm
So the surface area of the paperweight is 309.6 square cm.
Pls. Help find these answers?!
Answer:
12
Step-by-step explanation:
Answer:
1) 12 boxes
2) 3, 6, 12
3) 12
4) 110 degrees
Step-by-step explanation:
1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.
Length: 4 boxes
Width: 3 boxes
4 x 3 = 12
12 boxes
2)
10% of 30 is 0.1 times 30.
0.1 x 30 = 30/10 = 3
20% of 30 is 0.2 times 20.
0.2 x 30 = 30/5 = 6
40% of 30 is 0.4 times 20.
0.4 x 30 = 30/2.5 = 12
3) Count the cubes. Reminder there are 2 boxes you cannot see.
Top Layer: 2
Middle Layer: 4
Back Bottom Layer: 4
Front Bottom Layer: 2
2 + 4 + 4 + 2 = 12
4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.
180/18 (The angle of each section)
10
11 Sections
10 x 11 = 110
Simplify 2¾+(3⅜-1½) please I need your help now, and I want you to explain it accordently ,am waiting
Answer:
1⁷/15
Step-by-step explanation:
2¾(3⅜-1½)
using the rule of BODMAS
change the fractions in the bracket into improper fraction
2¾(27/8-3/2)
find LCM of the fractions in the bracket
2¾(27-12)/8
2¾(15/8)
convert the other mixed fraction to an improper fraction
11/8(15/8)= 5.15625~ 5.2
Find the value of a in the equation below.
5 = x - 18
Answer:
There's no A so I'm going to assume you meant X
X = 23
Step-by-step explanation:
X is equal to 23, because 23 - 18 = 5
or 5 + 18 = 23
can someone help me out with this?
Answer:
area of triangle is length *breathe
4.5 * 5.5 = 24.75
Assume that A and Bare n×n matrices with det A= 5 and det B=-3. Find the indicated determinant. det(5B^T) det(7B^T) =
The Determinant of the product of \(5B^T and 7B^T is (35)^n * 9\).
We are given that A and B are n×n matrices with det A = 5 and det B = -3. We need to find the determinant of the product of \(5B^T\) and \(7B^T\) , which is \(det(5B^T)\) * \(det(7B^T)\).
First, let's find the determinant of \(5B^T\). We know that \(det(B^T)\) = det(B), and det(B) = -3.
Therefore, \(det(5B^T) = 5^n\) * \(det(B^T) = 5^n\) * (-3), where n is the dimension of the matrix.
Next, we find the determinant of \(7B^T\).
Similarly, \(det(7B^T) = 7^n * det(B^T) = 7^n * (-3)\).
Now, we multiply these determinants to find the determinant of the product:
\(det(5B^T) * det(7B^T) = (5^n * (-3)) * (7^n * (-3)) = (5^n * 7^n) * (-3)^2 = (5*7)^n * 9.\)
So, the determinant of the product of \(5B^T\) and \(7B^T\) is \((35)^n * 9\).
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Write 57 divided 50 as a percentage
Answer:
87.72%
Step-by-step explanation:
What is the fraction (ratio) 50/57 as a percent value?
49/57 = ? ... 51/57 = ?
Detailed calculations below:
Introduction. Fractions
A fraction consists of two numbers and a fraction bar:
50/57
The number above the bar is the numerator: 50
The number below the bar is the denominator: 57
Divide the numerator by the denominator to get fraction's value:
Val = 50 ÷ 57
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% = p/100 = p ÷ 100.
Calculate fraction's value.
Divide the numerator by the denominator to get fraction's value:
50/57 =
50 ÷ 57 ≈
0.87719298245614
Note:
100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100,
... and its value doesn't change.
Calculate the percent value:
0.87719298245614 =
0.87719298245614 × 100/100 =
(0.87719298245614 × 100)/100 =
87.719298245614/100 =
87.719298245614% ≈
87.72%;
In other words:
1) Calculate fraction's value.
2) Multiply that number by 100.
3) Add the percent sign % to it.
Answer:
:: written in two ways ::
Not rounded:
50/57 = 87.719298245614%
Rounded to maximum 2 decimals:
50/57 ≈ 87.72%
Signs: % percent, ÷ divide, × multiply, = equal, / fraction bar (division bar), ≈ approximately equal;
Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark;
More operations of this kind:
49/57 = ? ... 51/57 = ?
Question 10. State-Space (20 marks) (a) For a linear system with output y and input u below: + 2yy = 2u - uy i) Write the system state space model. ii) Find the equilibrium point(s) of the system if u is a constant value equal to 4. (b) Derive the state transition matrix of an autonomous linear system below: -2 x = Ax = - [ 3² ] ₁ X (c) Now, if a system has dynamic transfer function given below: x = Ax + Bu = [2²)x+ ₂ H U i) Determine the stability of the system. ii) Find the transfer function of the system. y = Cx= [1 −1] x
System state space model is: y = [1 0] x. y = 4 is an equilibrium point. x(t) = P∧(Dt)P−1 x(0) is the state transition matrix. The system is stable. The transfer function of the system is U(s)X(s) = [(s-2)²+ 4]⁻¹ [(s-2) -2; 2 (s-2)] [0 2].
(a) i) System state space model:
x = [y y']T;
dx/dt = [0 2; -1 1]x + [0 2]T u;
y = [1 0] x
Here, x represents the state vector.
ii) The equilibrium point(s) of the system if u is a constant value equal to 4: dy/dt = 0
Thus, 2y = 8 or y = 4. Therefore, y = 4 is an equilibrium point.
(b) The state transition matrix for autonomous linear systems is derived as follows:
If A is diagonalizable, then there exist an invertible matrix P and diagonal matrix D such that A = PDP−1.
Thus, x(t) = P∧(Dt)P−1 x(0) is the solution where exp(Dt) is calculated from the diagonal entries of D and t is the time of propagation.
(c) i)The stability of the system is determined by the eigenvalues of the system matrix A. If all the eigenvalues have a negative real part, the system is stable. If one of the eigenvalues has a positive real part, the system is unstable. And, if one eigenvalue has a zero real part, the system is marginally stable. Since the system has two eigenvalues with negative real parts, it is stable.
ii) The transfer function of the system is given as follows:
U(s) → X(s): X(s) = (sI − A)−1 B U(s)Y(s) → X(s): Y(s) = CX(s) = C(sI − A)−1 B U(s)
Thus, substituting the values of A, B, and C we get,Y(s) = [1 -1] [(s-2)²+ 4]⁻¹ [(s-2) -2; 2 (s-2)] [0 2]
U(s)X(s) = [(s-2)²+ 4]⁻¹ [(s-2) -2; 2 (s-2)] [0 2]
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A small business had profits of $200, $300, $400, $500 and $500 over the 5 months. How much profit should the business make in the 6th month to have an average profit of $550 over the 6 months?
Answer:
$1400
Step-by-step explanation:
x= profit of 6th month
(200+300+400+500+500+x)
-------------------------------------- = 550
6
(1900+x)=3300
x=3300-1900
x=1400
Give the x and y intercepts: x+3y=24
please help this is due tomorrow morning, its worth a lot of points
Help me please and thank u love :) !?
Therefore , the solution of the given problem of unitary method comes out to be music video cost = $1.99.
What exactly is a unitary method?After establishing the size of a little slice, multiply the quantity by two to complete a task utilizing unitary technique. Simply expression the unit technique serves to isolate a programmed thing from a certain set or sets of sets. For example, the price of 40 pens is 400 pounds ($1.01) or Rs. It's possible that one country will have total control over the method employed to do this. Almost every living creature has a distinctive quality. It can equally integrate and reciprocate (mathematics, algebra).
Here,
Given :
2 music videos , a TV series and a movie worth $42.95
Let x be the cost of movie
From given information,
we can say
Cost of TV series = 2x
So ,
equation comes out to be x = 12.99 for movie
So TV series cost = 2 * 12.99 = 25.98
So ,
=> 2 music videos + 25.98 + 12.99 = 42.95
=> 2 music videos + 38.97 = 42.95
=> 2 music videos = 42.95 - 38.97
=> music video cost = 3.98 /2
=> music video cost = $1.99
Therefore , the solution of the given problem of unitary method comes out to be music video cost = $1.99.
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Jerrold ran a race that was 3 5/8 miles long. What is 3 5/8 written as a decimal?
Answer:
3.625
step by step explanation :
I just simply searched it up
Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5.25 per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario use for the mixture to cost $6.50 per pound to make?
Answer:
8 pounds of almonds
4 pounds of macadamia
Step-by-step explanation:
Let x be the pounds of almond
then 12 - x is the pounds of macadamia
5.25x + 9(12 - x) = 12(6.50)
distribute
5.25x + (108 - 9x) = 78
Combine like terms
-3.75x + 108 = 78
subtract 108 from both sides
-3.75x = 30
Divide both sides by -3.75
x = 8 pounds of almond
12 - x = 4 pounds of macadamia
plssssssss helpppppppppppp i want it now pls
3/5kg + 760g
3/5kg = 3/5×1000
= 600g
Now
600g + 760g = 1360g
Or 1.36kg
Answered by Gauthmath must click thanks and mark brainliest
Hikers walk 3 miles east and then 2 miles north and take a water break. They continue
hiking 4 miles east and a final 2 miles south to their destination. What single
transformation took place from their starting position to their final destination? Use
mathematical language and create a graphic to explain your answer. Be sure to use a
straight edge and grid paper for your graphic to represent this problem.
The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point either up, down, left or right in the coordinate plane.
Hikers walk 3 miles east and then 2 miles north and take a water break. Hence:
(x, y) ⇒ (x + 3, y + 2)
They continue hiking 4 miles east and a final 2 miles south to their destination:
(x, y) ⇒ (x + 3 + 4, y + 2 - 2) ⇒ (x + 7, y)
The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)
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It is 2.5 to LR and another hour to Dallas
If I am traveling to Little
Rock for a flight, I have to
drive 2.5 hours. I am
flying to Dallas. To fly to
Dallas it takes
approximately an hour
from Little Rock. What
fraction of my trip is the
drive to Little Rock?
Round to the nearest
hundreth.
Answer:
Step-by-step explanation:
First make sure everything is in hours, yes everything is in hours !
So the fraction of little Rock to the rest is little Rock over the total.
2.5 hour/ 3.5 hours
0.714
3/4 + 7/8 + 5/6
(this is here because the question was too short)
Answer:23/8Step-by-step explanation:(LCM of 4,8 and 6 = 24 )
3×6/4×6 + 7×3/8×3 + 5×4/6×4 28+21+20/24
59/24
I hope you got it❤️❤️❤️And thanks your patience ❤️.SORRY
From the textbook: Two investment options are as follows. Choice 1: Payments of $2500 now, $3000 a year from now, and $3560 two years from now. Choice 2: Three yearly payments of $3000 starting now. Assume interest is compounded continuously. (a) If the interest rate on savings were 6.74%, which would you prefer? (Type in 1 for Choice 1 , or 2 for Choice 2.) (b) What is the interest rate that would make both choices equally lucrative? Enter an EXACT answer using a logarithm (NO DECIMALS).
(a) Based on a continuous compounding interest rate of 6.74%, Choice 2 would be preferred.
(b) The interest rate that would make both choices equally lucrative can be found using logarithmic equations.
(a) To determine which investment option is preferred, we need to calculate the future value of each choice using continuous compounding. Choice 1 has three separate payments at different times, while Choice 2 has three equal yearly payments.
Using the continuous compounding formula, the future value of Choice 1 is:
FV1 = $2500 * e^(0.0674 * 0) + $3000 * e^(0.0674 * 1) + $3560 * e^(0.0674 * 2)
The future value of Choice 2 is:
FV2 = $3000 * e^(0.0674 * 0) + $3000 * e^(0.0674 * 1) + $3000 * e^(0.0674 * 2)
By evaluating these expressions, we can compare the future values and determine that Choice 2 would be preferred.
(b) To find the interest rate that would make both choices equally lucrative, we need to solve the equation:
$2500 * e^(rt) + $3000 * e^(r(t+1)) + $3560 * e^(r(t+2)) = $3000 * e^(rt) + $3000 * e^(r(t+1)) + $3000 * e^(r(t+2))
This equation can be simplified and rearranged to isolate the interest rate 'r'. However, since the question asks for an exact answer using a logarithm, we can solve the equation by taking the natural logarithm of both sides. The resulting equation can then be solved for 'r'.
The exact interest rate that would make both choices equally lucrative can be obtained by solving the logarithmic equation.
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use green's theorem to find the counterclockwise circulation and outward flux for the field f=(7x−4y)i (9y−4x)j and curve c: the square bounded by x=0, x=4, y=0, y=4.
The counterclockwise circulation around c is 12 and the outward flux through c is zero.
Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.
In this case,
we have a field f=(7x−4y)i+(9y−4x)j and
a square curve c bounded by x=0, x=4, y=0, y=4.
To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.
The curl of f is given by (0,0,3), so the line integral evaluates to 12.
To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.
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the sum of the following algebraic expression 2x + 15, 7-8x and 3x - 41 is 30 find the value of x..
\( \\ \tt \longmapsto2x + 15 + 7 - 8x + 3x - 41 = 30 \\ \\ \tt \longmapsto 2x - 8x + 3x + 15 + 7 - 41 = 30 \\ \\ \tt \longmapsto - 3x - 19 = 30 \\ \\ \tt \longmapsto 3x + 19 = - 30 \\ \\ \tt \longmapsto 3x = - 30 -19 \\ \\ \tt \longmapsto 3x = - 49 \\ \\ \tt \longmapsto x = - \frac{49}{3}\)
Answer:
Step-by-step explanation:
2x + 15 + 7 - 8x + 3x - 41 = 30
2x - 8x + 3x + 15 + 7 - 41 = 30
Combine like terms
-3x - 19 = 30
Add 19 to both sides
-3x = 30 + 19
-3x = 49
Divide both sides by (-3)
x = 49/-3
x = -\(16\frac{1}{3}\)
What equation results from completing the square and then factoring?
x^2 - 10x = 46
hi I need help with my Khan academy homework whats the answer to X
Answer:
4 i belive x = 4
Step-by-step explanation:
9 divided by 3 = 3
12 divided bye 3 = 4
Answer:
x = 3
Step-by-step explanation:
Since the two legs of the outer triangle equal the same (12), it is safe to assume the two legs of the inner triangle will equal the same. Therefore, x is equal to 3.