Answer:
A
Step-by-step explanation:
The image show a quadrilateral
We have proved that quadrilateral ABCD is a square below.
The perimeter of ABCD = 4 × AB
The area of ABCD= (AB)² .
What is a square?A square is a two-dimensional, four-sided shape with all sides of equal length and all angles of 90 degrees. I
Proof that Quadrilateral ABCD is a Square:
We can prove that quadrilateral ABCD is a square by using the properties of a square.
A square is also a quadrilateral with four equal sides and four right angles.
In the image, we can see that side AB = side CD, and side AD = side BC.
Furthermore, we can see that the angles A, B, C, and D are all right angles=90 degree
This means that the quadrilateral ABCD is a square.
Finding the Perimeter of ABCD:
The perimeter of a square is equal to the sum of its four sides.
In the image, we can see that the sides AB, CD, AD, and BC are all equal. Therefore, the perimeter of ABCD=
4 × AB
= 4 × CD
= 4 × AD
= 4 × BC.
Finding the Area of ABCD:
The area of a square is equal to the length of one of its sides squared. In the image, we can see that the sides AB, CD, AD, and BC are all equal. Therefore, the area of ABCD= (AB)²
= (CD)²
= (AD)²
= (BC)².
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We have proved that quadrilateral ABCD is a square below.
Perimeter of ABCD is 4 × AB
The area of ABCD= (AB)².
What is a square?A square is a two-dimensional, four-sided shape with equal-length edges and 90-degree angles on each side.
The quadrilateral ABCD is a square, therefore:
Using the characteristics of a square, we can demonstrate that the parallelogram ABCD is a square.
A quadrilateral with four equal edges and four right angles is a square.
As seen in the picture, side AB corresponds to side CD and side AD corresponds to side BC.
In addition, we can see that the orientations A, B, C, and D are all 90-degree right angles.
The parallelogram ABCD is a square as a result.
Finding ABCD's Perimeter:
The sum of a square's four edges determines its perimeter.
The sides AB, CD, AD, and BC are equal on the picture, as can be seen. Consequently, the ABCD boundary
4 × AB
= 4 × CD
= 4 × AD
= 4 × BC
Finding the Area of ABCD:
A square's area is equivalent to the square of one of its sides. The sides AB, CD, AD, and BC are equal on the picture, as can be seen.
Consequently, ABCD's area equals (AB)².
= (CD)²
= (AD)²
= (BC)².
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The clear image of quadrilateral attached below,
Jordan is ordering a taxi from an online taxi service. The taxi charges $4 just for the pickup and then an additional $2 per mile driven. How much would a taxi ride cost if Jordan is riding for 2 miles? How much would a taxi ride cost that is m miles long?
Answer:
8 per 2 miles
Step-by-step explanation:
4 is the pickup cost
2 per mile
Jordan is riding 2 miles
so 4 + 2 + 2 = 8
Maya and Praisy are planting corns on a same farm. Maya plants 4 rows and Praisy plants 6 rows. If Mayas corns are ready to be picked in 8 weeks, how many weeks will it take Praisys corn to ready?
It will take 12 weeks for Praisys corn to be ready for picking.
We have been given that,
Maya plants corns In = 4 rows
Praisy plants corns in = 6 rows
Maya corns ready to be picked in = 8 weeks
We have to find the number of weeks will it take Praisys corn to be ready for picking.
To find we will use the unitary method that is,
4 rows = 8weeks
6 rows = 8/4*6 weeks
= 12 weeks
Thus 12 weeks will it take Praisys corn to be ready for picking.
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Every 100th hamburger is checked to determine its fat content.
A Systematic
B) Convenience
C Stratified
D Random
E Cluster
Answer:
E. cluster
Step-by-step explanation:
hope that helps.
HELLLLLLLLPPPPPPPPPPPP!!!!!!
Answer:
3 bars of soap and 2 toothbrushes.
Step-by-step explanation:
Based on the table below, evaluate f ( 8 ) . f ( 8 ) = 0 1 2 3 4 5 6 7 8 9 f ( x ) 8 19 71 53 75 91 72 69 15 25
Answer:
Step-by-step explanation: First Whats 9+10 Its 21 soooo yea 2nd u get smart 3rd Be a GIGA CHAD
Before the 1936 US president election, a popular poll predicted that Alfred Landon would
The correct option is a. Bias from undercoverage, is best description of the term bias.
Define the term bias from undercoverage?When you remove a portion of the population from your sample, undercoverage bias develops.
Sample isn't any longer indicative of the intended population as a result. This kind of study bias can affect non-probability sampling designs.Undercoverage bias as well as nonresponse bias may appear to be identical, but they differ greatly.
Undercoverage bias happens when certain demographic members are completely left out of the questionnaire survey you utilise for your investigation.When some of the respondents you chose to be included in your sample don't answer, nonresponse bias develops.For the stated question-
Roosevelt received support from lower-income voters and ultimately won with 62% of the vote, one of the biggest margins of victory in US presidential election history.
Thus, this clearly shows the bias from undercoverage.
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The complete question is-
Before the 1936 US presidential election, a popular poll predicted that Alfred Landon would comfortably win against Franklin D. Roosevelt. The poll randomly sampled people from sources like telephone and car registration records, but the country was in an economic crisis, so many voters without those luxuries were not included in the poll. Voters with lower incomes favored Roosevelt, who ultimately won with 62%, percent of the vote—one of the largest margins of victory ever in a US presidential election. Which type of bias does this scenario best describe?
a. Bias from undercoverage
b. Bias from using voluntary response
c. Response bias
d. Nonresponse bias
Help solve attached question.
Answer:
\(\mathrm{12\sqrt{5} \: \: inches}\)
Step-by-step explanation:
Use Pythagorean theorem, where:
\(a^2+b^2=c^2\)
Substitute in the values.
\(24^2+12^2=c^2\)
\(c^2=576+144\)
\(c^2=720\)
\(c=\sqrt{720}\)
\(c=12\sqrt{5}\)
\(c=26.83281\)
HELPPP PLEASE!!!!!!!!!
Refer to Exercise 12 and calculate V(Y) and sY. Then determine the probability that Y is within 1 standard deviation ofits mean value.
Note that the probability that Y is within 1 standard deviation of its mean value is 0.62.
What is the explanation for the above response?To calculate V(Y) and sY, we first need to find the expected value of Y:
E(Y) = Σ y P(y)
= (450.05) + (460.1) + (470.12) + (480.14) + (490.25) + (500.17) + (510.06) + (520.05) + (530.03) + (540.02) + (55*0.01)
= 49.15
Next, we can find V(Y) using the formula:
V(Y) = E(Y^2) - [E(Y)]^2
To find E(Y^2), we need to calculate Σ y^2 P(y):
E(Y^2) = (45^20.05) + (46^20.1) + (47^20.12) + (48^20.14) + (49^20.25) + (50^20.17) + (51^20.06) + (52^20.05) + (53^20.03) + (54^20.02) + (55^2*0.01)
= 2433.45
So we have:
V(Y) = 2433.45 - (49.15)^2
= 3.7975
Finally, we can find sY by taking the square root of V(Y):
sY = √(V(Y))
= √(3.7975)
= 1.9487
To determine the probability that Y is within 1 standard deviation of its mean value, we need to find P(49.15 - 1.9487 < Y < 49.15 + 1.9487). Using the probability mass function from the table, we can add up the probabilities of Y taking on values between 47.20 and 51.10:
P(47.20 < Y < 51.10) = P(Y=48) + P(Y=49) + P(Y=50) + P(Y=51)
= 0.14 + 0.25 + 0.17 + 0.06
= 0.62
Therefore, the probability that Y is within 1 standard deviation of its mean value is 0.62.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Refer to Exercise 12 and calculate V(Y) and sY. Then determine the probability that Y is within 1 standard deviation of its mean value.
Reference exercise -12
Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the random variable Y as the number of ticketed passengers who actually show up for the flight. The probability mass function of Y appears in the accompanying table. Attached.
Helpppppp meeee please and thank you I’ll give you brainliest
Help me! I need help with my homewor!
Answer:
Area of shaded region= 1142.96mm²
Step-by-step explanation:
•First calculate the Area covered by the interior circle.
•To calculate the Area of the exterior circle first add the two radii to get the radius from the centre of the interior circle to the circumference of the exterior circle.
•Use the calculated radius to calculate the Area covered from the centre to the circumference of the exterior circle.
•Now subtract the Area of the interior circle from the area covered by the bigger circle to get the Area of the shaded region.
Answer:
1141.76
Step-by-step explanation:
To solve for the area of the entire circle, we must first solve for the radius. Adding 6 and 14 will get us the total radius of the circle.
6 + 14 = 20Therefore, the radius of the entire circle is 20.
The expression you can use to solve for the area of a circle is:
Area = π × radius²Inserting the radius into the expression:
Area = π × 20²Therefore, the area of the entire circle is 400π.
If there is a hole in the circle in the shape of a circle, we must subtract the area of that hole to find the area of the shaded region.
Inserting 6 into the expression to solve for area:
Area = π × 6²Therefore, the area of the hole is 36π.
Now, we need to subtract the area of the gap from the area of the entire circle.
400π - 36π = 364πBecause π is approximately equal to 3.14, we can calculate an approximate value for 364π by multiplying 364 by 3.14. This gives us:
364 × 3.14 = 1141.76.Therefore, the area of the shaded region is \(1141.76^{2}\)
What is the factorization of the expression below?
4x^2-9y^2
O A. (2x - 3)(2x + 3y)
B. (2x-3y)(2x-3y)
O C. (4x - 3y)(x + 3y)
D. (4x-3y)(x-3y)
Answer:
answer will be A. (2x-3)(2x+3y)
What is 13 1 3 percent as a fraction in simplest form
Answer:
2/15
Step-by-step explanation:
A percent is a number given out of 100
13 1/3% basically is 13 1/3 | 100
You divide and you get 40/3 x 1/100
Simplify by 20 = 40/300 simplify again and you get 2/15.
Write the equation of the line that passes through the points (1,-6) & (-7, 2)
Answer:
y=-x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-(-6))/(-7-1)
m=(2+6)/-8
m=8/-8
m=-1
y-y1=m(x-x1)
y-(-6)=-1(x-1)
y+6=-x+1
y=-x+1-6
y=-x-5
NO LINKS!! Please help me with these problems. Part 9a1
Answer:
Domain: (-∞, -1) ∪ (-1, 3) ∪ (3, ∞)Range: [0, ∞)Continuity: Point discontinuity (hole) at x = 3.Step-by-step explanation:
Given function:
\(y=\dfrac{x-3}{x^2-2x-3}\)
DomainThe domain is the set of all possible input values (x-values).
Factor the denominator of the function:
\(\implies y=\dfrac{x-3}{(x-3)(x+1)}\)
The domain of the given function is restricted as the function is undefined when the denominator equals zero, and when both the numerator and denominator equal zero.
Therefore, the function is undefined when x = -1 and x = 3.
Therefore, the domain is (-∞, -1) ∪ (-1, 3) ∪ (3, ∞).
RangeThe range is the set of all possible output values (y-values).
As the domain is restricted, the range is also restricted.
Therefore, the range is (-∞, 0) ∪ (0, ¹/₄) ∪ (¹/₄, ∞).
ContinuityA function f(x) is continuous when, for every value \(c\) in its domain:
\(\text{$f(c)$ is de\:\!fined \quad and \quad $\displaystyle \lim_{x \to c} f(x) = f(c)$}\)
Point Discontinuity (holes): When a rational function has a factor with an x that is in both the numerator and the denominator.
Therefore, there is a point discontinuity at x = 3.
Infinite Discontinuity: A vertical asymptote occurs when the denominator of a rational function is zero. This is considered an infinite discontinuity when the graph exists on both sides of the asymptote.
Therefore, there is an infinite discontinuity at x = -1.
Maximums and MinimumsStationary points occur when the gradient of a graph is zero.
Therefore, to find the x-coordinate(s) of the stationary points of a function, differentiate the function, set it to zero and solve for x.
\(\begin{aligned}y & =\dfrac{x-3}{x^2-2x-3}\\\\\implies \dfrac{\text{d}y}{\text{d}x} & = \dfrac{(x^2-2x-3)(1) - (x-3)(2x-2)}{\left(x^2-2x-3\right)^2}\\\\ & = \dfrac{(x-3)(x+1)-(x-3)(2x-2)}{\left((x-3)(x+1)\right)^2}\\\\& = \dfrac{(x-3)[(x+1)-(2x-2)]}{(x-3)^2(x+1)^2}\\\\ & = \dfrac{(x-3)(-x+3)}{(x-3)^2(x+1)^2}\\\\ & = \dfrac{-(x-3)^2}{(x-3)^2(x+1)^2}\\\\& = \dfrac{-1}{(x+1)^2}\end{aligned}\)
\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & = 0\\\implies \dfrac{-1}{(x+1)^2} & = 0\\ -1 & \neq 0\end{aligned}\)
Therefore, there are no stationary points and no minimum/maximum points.
Increasing/Decreasing Function\(\textsf{A function is \textbf{increasing} when the \underline{gradient is positive}} \implies \dfrac{\text{d}y}{\text{d}x} > 0\)
\(\textsf{A function is \textbf{decreasing} when the \underline{gradient is negative}} \implies \dfrac{\text{d}y}{\text{d}x} < 0\)
Increasing
\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & > 0\\\implies \dfrac{-1}{(x+1)^2} & > 0\\ \dfrac{1}{(x+1)^2} & < 0\\ \textsf{If $\dfrac{1}{a} < 0$ then $a < 0$}:\\(x+1)^2 & < 0\\ \textsf{As $(x+1)^2\geq 0$, no solution.}\end{aligned}\)
Decreasing
\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & < 0\\\implies \dfrac{-1}{(x+1)^2} & < 0\\ \dfrac{1}{(x+1)^2} & > 0\\ \textsf{If $\dfrac{1}{a} > 0$ then $a > 0$}:\\(x+1)^2 & > 0\\ \end{aligned}\)
\(\textsf{For $a^n > 0$, if $n$ is even then $a < 0$ or $a > 0$}\)
\(\implies x+1 < 0 \implies x < -1\)
\(\implies x+1 > 0 \implies x > -1\)
Combine the intervals:
(-∞, -1) ∪ (-1, ∞)
Therefore:
The function is decreasing in the interval (-∞, -1) ∪ (-1, ∞).Symmetry\(\textsf{A function is \underline{even} when $f(x) = f(-x)$ for all $x$.}\)
\(\textsf{A function is \underline{odd} when $-f(x) = f(-x)$ for all $x$.}\)
As there is no symmetry about the y-axis (even symmetry) and no origin symmetry (odd symmetry), the symmetry of the function is neither.
Answer:
Domain: (-∞, -1) ∪ (-1, 3) ∪ (3, ∞)
Range: [0, ∞)
Continuity: Point discontinuity (hole) at x = 3.
Infinite discontinuity (vertical asymptote) at x = -1.
None
Decreasing function: (-∞, -1) ∪ (-1, ∞)
Symmetry: Neither
an adult with twice the mass of the student is also on the ride and remains stuck to the wall while the ride is rotating just like the student. derive an algebriac expression to show that the mass of the rider does not determine if the ride will remain stationaty against the wall while the ride is rotating
The force acting on the adult and the student, both stuck to the wall, is determined by their weight and the centripetal force acting on them. This means that the net force acting on both of them must be equal to zero.
The quadratic equation in LaTeX:
$ax^2 + bx + c = 0$
The weight of an object is proportional to its mass, and the centripetal force acting on an object is proportional to its mass and the square of its velocity.
Therefore, the ratio of the force acting on the adult to the force acting on the student will be equal to the square of the ratio of their masses and the square of the ratio of their velocities.
Let the mass of the student be 'm' and the mass of the adult be '2m'. Then, the ratio of the forces acting on them will be (2m) / m * (v_adult / v_student)^2, where 'v' represents velocity.
Since the ride remains stationary against the wall for both the student and the adult, this means that the net force acting on both of them must be equal to zero, i.e. their weight must be balanced by the centripetal force acting on them.
Thus, (2m) / m * (v_adult / v_student)^2 = 1.
This equation shows that the mass of the rider does not determine if the ride will remain stationary against the wall while rotating. The ride's velocity and the distribution of mass on the ride will determine whether it remains stationary or not, not the mass of the rider.
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distance between the following numbers on the real number line. a=-10b=-15
The distance between the following numbers on the real number line is -5.
What is a number line?
A straight line with numbers positioned along it at equal intervals or segments. Positive and negative numbers are listed on each side of zero and continue forever on a number line, which is a straight line with a "zero" point in the center.
Here, we have
Given: a = -10, b = -15
We have to determine the distance between the following numbers on the real number line.
According to the given question, we have
= b - a
= -15 - (-10)
= 15 + 10
= -5
Hence, the distance between the following numbers on the real number line is -5.
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HELP
please help me!! will mark whoever gets it right brainlist
(question is in image below) ⬇️
Answer:
\((x-6)^2=8\)
Step-by-step explanation:
\(x^2-12x+32=4\)
\(x^2-12x+32+4=4+4\)
\(x^2-12x+36=8\)
\((x-6)^2=8\)
Basically, you need to add a number to both sides so that you can reduce the left side to a square. In this case, you add 4.
help☹️
Which similarity postulate or theorem can be used to verify that the two
triangles shown below are similar?
12
R
X 2 Z
OA. SAS theorem
B. AA postulate
OC. Similarity cannot be determined.
OD. SSS theorem
P
6
Answer:
Letter A. SAS theoremExplanation:
Why SAS theorem? As I can see, ∠RPQ and ∠ZXY are SAS theorem. What I have noticed first is the length of each triangles, which is 6 and 2. Then followed by the angle until it reaches the width of each triangles, which is 12 and 4. So therefore I conclude that this theorem is SAS theorem.Wxndy~~
The two triangles are similar by SAS theorem
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔPQR
Let the second triangle be ΔXYZ
Now , the corresponding sides are
Now two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
And , corresponding sides of similar triangles are in the same ratio
On simplifying , we get
QP / PR = YX / XZ
Hence , the triangles are similar
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The product of a number and 9, increased by 4, is 58. Find the number
Answer:
first do 58-4 which is 54 then do 54/ 9 which is 6 so the number is 6
Answer:
6
Step-by-step explanation:
58 - 4 = 54
54/9 = 6 (because 9 x ? = 54)
Determine the domain of which the following function is increasing
Answer:
domain : - ∞ < x < 1
Step-by-step explanation:
the function is increasing on the upward part of the curve. that is
from negative infinity to the vertex at (1, 3 )
domain : - ∞ < x < 1
What is Jaime’s speed if he ran 12 miles in h hours? (He was running with the same speed all that time, believe it or not.) PLS HELP ASAP
Jaime’s speed is 12/h miles per hour .
What is speed ?Speed is the pace at which an object moves along a path in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar value.Speed can be defined as the pace at which an object travels a given distance. A fast-moving object has a high speed and covers a great distance in a short amount of time, whereas a slow-moving object covers a little distance in the same amount of time.The distance traveled per unit of time is referred to as speed. It is the rate at which an object moves. The magnitude of the velocity vector is represented by the scalar quantity speed. It lacks a sense of direction.Jaime’s ran 12 miles in h hour.
His speed = Distance / time = 12 miles / h hour = 12/h miles per hour
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-3≤4-7x<18
How to solve inequality
Answer:−
-2 < x ≤ 1
Step-by-step explanation:
Show your work please help me please
First make the fraction into an improper fraction:
Do denominator (bottom number) times the whole number (big number at the front of the fraction) and then plus the numerator (the number at the top)
So for the first one you would do, 3 x 2 = 6
6 + 1 = 7
New fraction = 7/3
Do this for the next fraction:
4 x 1 = 4
4 + 3 = 7
New fraction = 7/4
Now make the denominator the same for both fractions.
Do this by multiplying it by a number to make them the same.
For example here you can multiply 3 by 4, and multiply 4 by 3 to make them both 12.
And remember whatever you do to the denominator, you do to the numerator. So this is our question:
7/3 + 7/4
Multiplying denominators by 3 and 4
7/3 (x4) + 7/4 (x3)
So the new question is:
28/12 + 21/12
Now we can add the new numerators together. leaving the denominators the same.
28 + 21 = 49
Answer = 49/12
To make it a mixed number just divide 49 by 12, until you get a decimal.
You can divide 49 by 12 4 times.
Mixed number answer is:
4 1/12
(if the question doesnt ask for a mixed number you dont need to do it. But its better if you do).
Please help!!! I will give 20 points to the correct answer !! Thanks so much
9x^8 y^2 - 6x^3 y^4 / 3xy
simplified
Answer:
None of the choices are correct
Stefofp-by-step explanation:
Simplify the following:
(-6 x^3 y^4 + 9 x^8 y^2)/(3 x y)
Factor 3 x^3 y^2 out of -6 x^3 y^4 + 9 x^8 y^2:
(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y)
(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y) = 3/3×(x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = (x^3 y^2 (-2 y^2 + 3 x^5))/(x y):
(x^3 y^2 (-2 y^2 + 3 x^5))/(x y)
Combine powers. (x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5):
x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5)
3 - 1 = 2:
x^2 y^(2 - 1) (-2 y^2 + 3 x^5)
2 - 1 = 1:
Answer: x^2 y (-2 y^2 + 3 x^5)
what is the predecessor of 100000
Answer:
99,999
Step-by-step explanation:
Write an equation for the function graphed below
The rational function graphed in this problem is defined as follows:
y = -2(x - 1)/(x² - x - 2).
How to define the rational function?The vertical asymptotes of the rational function for this problem are given as follows:
x = -1 and x = 2.
Hence the denominator of the function is given as follows:
(x + 1)(x - 2) = x² - x - 2.
The intercept of the function is given as follows:
x = 1.
Hence the numerator of the function is given as follows:
a(x - 1)
In which a is the leading coefficient.
Hence:
y = a(x - 1)/(x² - x - 2).
When x = 0, y = -1, hence the leading coefficient a is obtained as follows:
-1 = a/2
a = -2.
Thus the function is given as follows:
y = -2(x - 1)/(x² - x - 2).
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Simplify the following expression.
Answer:
x^(4/21)
Step-by-step explanation: