Answer:
(2x+14) + (8x-4) = P
Step-by-step explanation:
P stands for perimiter
The expression for the length of fencing to go around the outer edges is 10x+10.
What is the perimeter of a rectangle?The perimeter of a rectangle is the twice the sum of length and width.Perimeter of a rectangle = 2(l+b)Length of the rectangular field is given by x+7
and width is given by 4x-2
Length of fencing outer edges is equal to its perimeter.
Perimeter of a rectangle = 2(l+b)
=2(x+7+4x-2)
=2(5x+5)
=10x+10
Hence, the length of fencing outer edges is 10x+10
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A number cube is rolled 24 times and lands on the number 2 four times and on the number 6 three times.
What is the experimental probability of not landing on a 6? Write you probability as a fraction
Step-by-step explanation: 24-4+3=17
3 2/3 - 2 3/4= ______________
Answer:
7 5/12
Step-by-step explanation:
3+2=6
2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12
1 + 6= 7 5/12
Answer:
11/12 or .91666666 infinite
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine. Exact Form: 11/12
Can you guys help me? I know this kind of easy question, but just to make sure
Answer:
theres nothing to do in this problem because it is already in simplist form. the answer would just be -15x^2 - 9x^3
Step-by-step explanation:
Answer:
There isn’t anything to simplify the answer is the same
Step-by-step explanation:
Use the graph to answer the following question.
The figure shown was transformed from Quadrant II to Quadrant IV .
Which of the following BEST represents this transformation?
reflection over the x-axis followed by a dilation of scale factor 2
rotation 90° clockwise followed by a reflection over the y-axis
reflection over the y-axis followed by a translation down 6 units
reflection over the x-axis followed by a translation right 5 units
The transformation is rotation 90° clockwise followed by a reflection over the y-axis
How to use the graph to answer the question?The question is given as
Which of the following BEST represents this transformation?
From the question, we have the figure shown to be
A transformation of a figure from Quadrant II to Quadrant IV
From the figure, we can see that the shapes in both quadrants have the same dimensions
This means that the shapes are not dilated
However, the orientation of the figures are difference
Because of the positioning of the shapes, we can conclude that the transformaton is rotation 90° clockwise followed by a reflection over the y-axis
Hence, the transformation is rotation 90° clockwise followed by a reflection over the y-axis
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Fill in the blank with a number to make the expression a perfect square.
u^2+8u+?
Answer:
16
Step-by-step explanation:
Hello, do you remember that result?
For any a and b real numbers,
\((a+b)^2=a+2\cdot a \cdot b+b^2\)
In this example, we have.
\(u^2+8u=u^2+2\cdot 4 \cdot u\\\\\text{ This is the beginning of ... } u^2+8u+4^2=u^2+8u+16\\\\\text{ So, we need to add 16 to make a perfect square}\\\\u^2+8u+\boxed{16}=u^2+2\cdot 4\cdot u +4^2=(u+4)^2\)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
How do u solve this question?
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10). On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8). On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10). On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8). Mark this and return
The quadratic function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).
How to analyze quadratic equations
In this question we have a graph of a quadratic equation translated to another place of a Cartesian plane, whose form coincides with the vertex form of the equation of the parabola, whose form is:
g(x) = C · (x - h)² - k (1)
Where:
(h, k) - Vertex coordinatesC - Vertex constantBy direct comparison we notice that (h, k) = (5, 1) and C = 1. Now we proceed to check if the points (x, y) = (2, 10) and (x, y) = (8, 10) belong to the parabola.
x = 2
g(2) = (2 - 5)² + 1
g(2) = 10
x = 8
g(8) = (8 - 5)² + 1
g(8) = 10
The quadratic function g(x) = (x - 5)² + 1 passes through the points (2, 10) and (8, 10) and has a vertex at (5, 1).
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Answer: B
Step-by-step explanation:
looked at the points from the dude above, or below, anyway i hope this helps
Please help me!
"Explain why this graph shows a function."
Answer:
This graph shows a function because no vertical line passes through more than one point on the graph.
Step-by-step explanation:
in a two-step equation
0.7t-3.2=1.7
Solve the following literal equation for w X = wy/c
Answer:
w = xc/y
Hope this helps!
what is the frequency in hertz of a wave with a wavelength of 5.7 km?
Frequency and wavelength are related by the equation f=cλ, where c is the speed of light in a vacuum. The speed of light in a vacuum is 2.9979×108 m/s. Wavelength must be converted from kilometers to meters, then the values can be plugged into the equation. f=2.9979×108 m/s5,700 m=52,594 Hz. The resulting frequency is 52,594 Hz or 5.3×104 Hz when rounded to the correct number of significant figures.
Define wavelength?The wavelength of a periodic wave is the distance over which its shape repeats in physics.The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal propagated in space or along a wire is defined as its wavelength.The distance between two consecutive crests or troughs of a wave is defined as its wavelength. It is calculated in the wave's direction.Wavelength is usually represented by the Greek letter lambda (); it equals the speed (v) of a wave train in a medium divided by its frequency (f): = v/f.The wavelength of an electromagnetic wave is the distance between consecutive crests of a wave.To learn more about wavelength refer to:
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the cost to buy a sweater at sweaterfactory.com is 19 with free shipping i have 50 dollars creat an inequality to represent how many sweaters i can buy
Answer:
34
Step-by-step explanation:
Which number represents the probability of an event that is likely to occur?
O 80%
O 0%
O 198%
O 1%
First one 80% because it is LIKELY to occur meaning having good odds of happening.
Yesterday the lightning auto club had two races. in both races, the same five cars - car a, car b, car c, car d, and car e - finished in the top five spots. in the second race, car c finished first, car a moved up 1 spot from the first race, car b moved down 2 spots from the first race, and car d and car e switched places from where they finished in the first race. which car finished second in the first race? note: no two cars tied in either race.
Based on the information provided in the question:
Car b finished in the second position in the first race.
Velocity:
Velocity is the directional velocity of a moving object, observed from a given frame of reference and indicating the rate of change of position measured at a given time reference (eg 60 km/h northward). Velocity is a fundamental concept in kinematics, a branch of classical mechanics that describes the motion of bodies.
Velocity is a physical vector quantity. Both magnitude and direction are required to define it. The scalar absolute value (magnitude) of velocity is called velocity, and its magnitude is a consistent derived unit measured in the SI (metric) system as meters per second (m/s or m⋅s−1). For example, "5 meters/second" is a scalar, but "5 meters/second east" is a vector. An object is said to be accelerating if its velocity, direction, or both change.
According to the question:
Let tₐ = time of finish of car A in sec
Let \(t_b\)= time of finish of car B in sec
Let \(t_c\) = time of finish of car C in sec
Let \(t_d\) = time of finish of car D in sec
Let \(t_e\) = time of finish of car E in sec
According to the above information:
(1) \(t_a = t_d -1\)
(2) \(t_b= t_e -6\)
(3) \(t_e =t_a +3\)
(4) \(t_a = t_c+5\)
Now,
From (3),
(3) \(t_a = t_e -3\)
and
(2) \(t_e =t_b+6\)
and
(1)\(t_d =t_a +1\)
Therefore, the series would be
Car C, Car B, Car A, Car D, Car E
the above series is the position of race from 1st to last.
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heights of 10-year-olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches. what is the approximate probability that a randomly chosen 10-year-old is between 60 and 65 inches?
The approximate probability that a randomly chosen 10-year-old is between 60 and 65 inches is 15.58%.
To solve this problem, we need to standardize the values using the z-score formula:
z = (x - μ) / σ
where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.
In this case, we want to find the probability that a randomly chosen 10-year-old is between 60 and 65 inches, so:
z1 = (60 - 55) / 6 = 0.83
z2 = (65 - 55) / 6 = 1.67
We can use a standard normal distribution table or calculator to find the probabilities associated with these z-scores.
P(0.83 < z < 1.67) = P(z < 1.67) - P(z < 0.83)
Using a standard normal distribution table or calculator, we find that P(z < 0.83) = 0.7967 and P(z < 1.67) = 0.9525.
So,
P(0.83 < z < 1.67) = 0.9525 - 0.7967 = 0.1558
Therefore, the approximate probability that a randomly chosen 10-year-old is between 60 and 65 inches is 0.1558, or about 15.58%.
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If the radius of the circle is 5 inches, what is the diameter?
10 inches
5 inches
25 inches
2.5 inches
Answer:
10 Inches
Step-by-step explanation:
Remember the radius is always half the diameter. So, r * 2 = d. Plug those in...
5 * 2 = 10.
Therefore, the answer is 10 inches.
Express in simplest form:
-1(-x+6x + 1)-3
– 3x
Answer:
-5x - 4
Hope this helps!!! :)
Answer:
-8x-4. I hope that this helps kid
- 3/8 + 1/6
i kinda just didn't pay attention in class, i just need an explaination of how to solve it and im good to go
Answer:
\({ \tt{ - \frac{3}{8} + \frac{1}{6} }} \\ { \bf{l.c.m \: of \: 8 \: and \: 6 = 24}} \\ { \tt{formular = \frac{(l.c.m \times denominator \div numerator)}{l.c.m} }} \ \\ \\ = \frac{(24 \times 8 \div - 3) + (24 \times6 \div 1)}{24} \\ = - \frac{5}{24} \)
fwee brainliest if you can do this problem 102934x99+2018432=
1.12208898 2. 23452856780 .3238425857 .4 8901259
Answer:
1.2208898
Step-by-step explanation:
Answer:
Your answer is Number 1
Step-by-step explanation:
1.2208898x10 squared 7
Select all the numbers that are prime.
A.
9
B.
11
C.
19
D.
29
E.
39
Answers-
B- 11
C- 19
D- 29
A prime number is only divisible by itself and 1 so the prime numbers are,
B. 11, C. 19, D 29, and E 39.
What is a prime number?A prime number is not a composite number, prime numbers are only divisible by the number it self and one.
An example of a prime number is 2 which is only divisible by 2 and 1 it is also the only even prime number.
We know the properties of prime numbers.
Now, 9 = 3 × 3 which is not prime.
11 = 11 ×1 so it is a prime number.
19 = 19 ×1 so it is a prime number.
29 is also a prime number as it is only divisible by 1 and 29.
39 is not a prime number as 3 × 13 is 39.
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please help!! really need this answered asap
x+21 is the length of GH from the given figure.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
A triangle GHJ, M is the intersection of the three medians.
Given that GJ is twenty one.
GJ=21
We need to find the length of GH.
Let the length of HJ is x.
Now GH=HJ+GJ
GH=x+21
Hence, x+21 is the length of GH from the given figure.
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Kristen's financial advisor has given her a list of 8 potential investments and has asked her to select and rank her favorite four. In how many different ways can she do this?
The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.
The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.
If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:
nPr = n!/{(n - r)!}.
In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.
Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.
Substituting n = 8, and r = 4 in the formula, we get:
8P4 = 8!/{(8 - 4)!}
= 8!/4!
= 5 * 6 * 7 * 8
= 1680.
Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.
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Use trigonometric substitution.
∫√y2−25y3dy
Using trigonometric substitution and solving ∫√y²−25y³dy we get, ∫(5√(125/2))(cosθ)((1 - cos2θ)/2) dθ.
What is an integral?
An integral is a fundamental concept in calculus that represents the accumulation or total of a quantity over an interval.
What is trigonometric substitution?
Trigonometric substitution is a technique used in calculus to simplify integrals involving expressions that contain square roots or higher powers of trigonometric functions. It is particularly useful when dealing with algebraic expressions that can be rewritten in terms of trigonometric functions.
To solve the integral ∫√(y² - 25y³) dy using trigonometric substitution, we can proceed as follows:
Let's make the substitution y = 5sin²θ. This substitution is chosen because it simplifies the integral by transforming the radical expression into a trigonometric function.
Differentiating y = 5sin²θ with respect to θ, we get:
dy/dθ = 10sinθcosθ dθ
To express dy in terms of dθ, we can solve for dθ:
dθ = (dy / (10sinθcosθ))
Substituting y = 5sin²θ and dy = 10sinθcosθ dθ into the integral, we have:
∫√(y² - 25y³) dy = ∫√((5sin²θ)² - 25(5sin²θ)³) * 10sinθcosθ dθ
Simplifying the expression inside the square root:
∫√(25sin⁴θ - 125sin⁶θ) * 10sinθcosθ dθ
∫√(25sin⁴θ(1 - 5sin²θ)) * 10sinθcosθ dθ
Using trigonometric identities, we can rewrite sin²θ = (1 - cos2θ)/2:
∫√(25(sin⁴θ)(1 - 5sin²θ)) * 10sinθcosθ dθ
∫√(25(sin⁴θ)(1 - 5(1 - cos2θ)/2)) * 10sinθcosθ dθ
∫√(25(sin⁴θ)(1 - 5 + 5cos2θ)/2) * 10sinθcosθ dθ
∫√((25/2)(5cos2θ - 4cos²θ)) * 10sinθcosθ dθ
Simplifying further:
∫√((125/2)(cos2θ - cos²θ)) * 10sinθcosθ dθ
Using the trigonometric identity cos2θ = 2cos²θ - 1:
∫√((125/2)(2cos²θ - cos²θ - 1)) * 10sinθcosθ dθ
∫√((125/2)(cos²θ - 1)) * 10sinθcosθ dθ
Factoring out the constant:
∫(5√(125/2))(cosθ)(sinθ)√(1 - cos²θ) dθ
The expression (√(1 - cos²θ)) is equivalent to sinθ, so we can further simplify:
∫(5√(125/2))(cosθ)(sinθ)√(1 - cos²θ) dθ
∫(5√(125/2))(cosθ)(sinθ)(sinθ) dθ
∫(5√(125/2))(cosθ)(sin²θ) dθ
Using the identity sin²θ = (1 - cos2θ)/2:
∫(5√(125/2))(cosθ)((1 - cos2θ)/2) dθ
Therefore, using trigonometric substitution the answer is ∫(5√(125/2))(cosθ)((1 - cos2θ)/2) dθ
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First identify the angle RELATIONSHIP, then find the measure of the angle indicated in bold.
Answer:
Same-side interior angles
m∠ = 110°
Step-by-step explanation:
Step 1: Set up equation
6x + 16 + 13x - 7 = 180
Step 2: Combine like terms
19x + 9 = 180
Step 3: Isolate x and solve
19x = 171
x = 9
13(9) - 7 = 110°
There are 3 red, 1 blue, and 2 yellow marbles in a bag. once a marble is selected it is replaced. find p (red then yellow).
The probability of selecting a red marble followed by a yellow marble, with replacement, can be found to be 1/6.
When a marble is selected with replacement, it means that after each draw, the marble is placed back into the bag, and the total number of marbles remains the same. Since there are 3 red marbles out of a total of 6 marbles in the bag, the probability of selecting a red marble on the first draw is 3/6.
After replacing the marble, the bag still contains 6 marbles, but the number of red marbles remains the same (3) and the number of yellow marbles remains the same (2). Therefore, the probability of selecting a yellow marble on the second draw is 2/6.
To find the probability of both events occurring, we multiply the probabilities:
P(Red then Yellow) = (3/6) × (2/6) = 1/6.
Therefore, the probability of drawing a red marble followed by a yellow marble is 1/6.
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EXTRA POINTS! You scored 74, 88 and 82 on three tests. Write and solve an inequality to find the minimum score you need
to earn on the fourth test so that your mean test score is at least an 84. Please show process!
Answer:
You would at least a 90 to average out your score to an 84
but I dont know how to get the inequality sorry
I hoped this helped a little
Step-by-step explanation:
Fisrt you will need to find the average of the numbers by adding them up and dividing by 3 ( because there are 3 numbers )
which would give you 81
then you have to get at least above an 81 to make it go higher but you may have to do a little more than that there for 90 is what you need
Type in a number. What is the least common denominator for these two fractions?
(23)2−13
Answer:
32
Step-by-step explanation:
3. Given the following open-loop single-input, single-output four-dimensional linear time-invariant state equations, namely, ⎣
⎡
x
˙
1
(t)
x
˙
2
(t)
x
˙
3
(t)
x
˙
4
(t)
⎦
⎤
= ⎣
⎡
0
0
0
−680
1
0
0
−176
0
1
0
−86
0
0
1
−6
⎦
⎤
⎣
⎡
x 1
(t)
x 2
(t)
x 3
(t)
x 4
(t)
⎦
⎤
+ ⎣
⎡
0
0
0
1
⎦
⎤
u(t)
y(t)=[ 100
20
10
0
] ⎣
⎡
x 1
(t)
x 2
(t)
x 3
(t)
x 4
(t)
⎦
⎤
+[0]u(t)
find the associated open-loop transfer function H(s).
The transfer function H(s) is given by the ratio of the output Y(s) to the input U(s):
H(s) = Y(s)/U(s) = C(sI - A)^(-1)B + D
To find the open-loop transfer function H(s) associated with the given state equations, we need to perform a Laplace transform on the state equations.
The state equations can be written in matrix form as:
ẋ(t) = A*x(t) + B*u(t)
y(t) = C*x(t) + D*u(t)
Where:
ẋ(t) is the vector of state derivatives,
x(t) is the vector of state variables,
u(t) is the input,
y(t) is the output,
A is the system matrix,
B is the input matrix,
C is the output matrix,
D is the feedforward matrix.
Given the system matrices:
A = ⎣
⎡
0
0
0
−680
1
0
0
−176
0
1
0
−86
0
0
1
−6
⎦
⎤
, B = ⎣
⎡
0
0
0
1
⎦
⎤
, C = [100 20 10 0], and D = [0]
We can write the state equations in Laplace domain as:
sX(s) = AX(s) + BU(s)
Y(s) = CX(s) + DU(s)
Where:
X(s) is the Laplace transform of the state variables x(t),
U(s) is the Laplace transform of the input u(t),
Y(s) is the Laplace transform of the output y(t),
s is the complex frequency variable.
Rearranging the equations, we have:
(sI - A)X(s) = BU(s)
Y(s) = CX(s) + DU(s)
Solving for X(s), we get:
X(s) = (sI - A)^(-1) * BU(s)
Substituting X(s) into the output equation, we have:
Y(s) = C(sI - A)^(-1) * BU(s) + DU(s)
Finally, the transfer function H(s) is given by the ratio of the output Y(s) to the input U(s):
H(s) = Y(s)/U(s) = C(sI - A)^(-1)B + D
Substituting the values of A, B, C, and D into the equation, we can calculate the open-loop transfer function H(s).
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Find at least three different sequences beginning with the terms 3, 5, 7 whose terms are generated by a simple formula or rule.
Answer:
3 5,7,9,11,13,16,17 19,21,23,25,27,29
The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
The sum of the angle measures of the polygon is 540°, the value of x is 5.
The sum of the angle measures of the polygon is 540°.
Pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°. We can also calculate the sum of interior angles of the pentagon in the following way:We know that the sum of the interior angles of a polygon of n sides = (n – 2) × 180°. = 3× 180°= 540°
If a polygon has x sides, then the sum of its angle measures can be found using the formula:
(x-2) * 180° = sum of angle measuresTherefore, for a polygon with x sides, the equation becomes:
⇒(x-2) * 180° = 540°
Solving for x, we get:
⇒x = (540° + 360°) / 180° + 2
⇒x = 3 + 2
⇒x = 5
So, the polygon has 5 sides.
Therefore, the value of x is 5.
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