The dilation of the rectangle stretches it with regards to the distances from the central point
The option that gives the coordinates of the point D is the option;
D (0, 5)
Reason:
The known parameter;
Coordinates of the center of dilation is M(-3, -4)
Scale factor of dilation = 3
The coordinates of the vertex of the rectangle ABCD are;
A(-2, 2), B(3, 2), C(3, -1), and D(-2, -1)
Length MD = \(\sqrt{(-3 - (-2))^2 + (-4 - (-1))^2} = \sqrt{10}\)
Therefore, length of MD' = 3·√10
Slope of MD, is given as follows;
\(Slope, \ m = \dfrac{-1 - (-4)}{-2 - (-3)} = \dfrac{3}{1} = 3\)Therefore, y = 3·x
x² + y² = (3·√10)²
x² + (3·x)² = (3·√10)²
10·x² = 90
x = 3
y = 9
We note that the value of x, and y, are calculated as distance from the central point, M, therefore;
The coordinates of the point D' is (-3 + x, -4 + y)
∴ Coordinates of D' = (-3 + 3, -4 + 9) = (0, 5)
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Maya has c decks of cards. Each deck has 52 cards in it. Using c, write an expression for the total number of cards Maya has.
Find the volume of the prism.
The volume of the cone in this problem is given as follows:
V = 48π units³.
How to obtain the volume?The volume of a cone of radius r and height h is given by the equation presented as follows:
V = πr²h/3.
From the image given in this problem, the parameters are given as follows:
r = 6 mm, h = 4 mm.
Hence the volume is given as follows:
V = π x 6² x 4/3
V = 48π units³.
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A 3-pack of notebooks costs $3.78. What is the unit price?
Answer:
$1.26
Step-by-step explanation:
Answer:
$1.26
Step-by-step explanation:
The unit price is the cost of a single note book:
3.78/3=1.26
In a standard (x,y) coordinate plane, point M is located at (-4 1/2, 18 1/3) and N is located at (-4 1/2, -2 2/3.) Find the length of segment NM.
Answer:
\( \frac{ - 9}{2} + \frac{9}{2} = 0\)
\( \frac{55}{3} + \frac{8}{3} = \frac{63}{3} \)
\( \sqrt{ {0}^{2} + \frac{ {63}^{2} }{3} } = \sqrt{ \frac{3969}{9} } = \frac{63}{3} \)
this is the
PLEASEEE HELP ME IM STUCK ON LETTER B IM NOT SURE WHAT TO DO PLEASE HELP ILL MARK BRAINLIEST LOL CAN YOU ALSO SHOW WORK THANK YOU VERY APPRECIATED !!! ILY<3
Answer:
a.80 b. 150
Step-by-step explanation:
Answer:
Step-by-step explanation:
A regular octagon can be divided radially into 8 congruent, isosceles triangles. Each triangle has a vertex angle of 360°/8 = 45° and base angles of 67.5° each.
Height of triangle = 7.5tan(67.5°) ≈ 18.1 ft
Area of triangle = 0.5(15)(18.1) = 135. ≈ 8 sq ft
Area of octagon = 8(135.8) = 1086 sq ft
Plz help Major grade 6th grade
Answer:
A. 300h = 900
Step-by-step explanation:
V = lwh
900 = (25)(12)h
900 = 300h
300h = 900
The weekly earnings of bus drivers are normally distributed with a mean of $395. If only 1. 1% of the bus drivers have a weekly income of more than $429. 35, what is the value of the standard deviation of the weekly earnings of the bus drivers
To find the standard deviation of the weekly earnings of bus drivers, we need to use the Z-score formula and the given percentage of bus drivers with a weekly income above a certain threshold.
Since the weekly earnings of bus drivers are normally distributed, we can use the Z-score formula to calculate the standard deviation. The Z-score represents the number of standard deviations an observation is away from the mean.
To find the Z-score corresponding to the given percentage, we use the standard normal distribution table or a statistical calculator. In this case, we want to find the Z-score for a percentile of 1.1%, which corresponds to an area under the curve of 0.011.
Z = invNorm(1 - 0.011) ≈ invNorm(0.989) ≈ 2.330
The Z-score formula is:
Z = (X - μ) / σ
We know the mean (μ) is $395, and the threshold value (X) is $429.35. By substituting these values into the formula and solving for the standard deviation (σ), we can find:
2.330 = ($429.35 - $395) / σ
Solving for σ, we get:
σ = ($429.35 - $395) / 2.330 ≈ $14.708
Therefore, the value of the standard deviation of the weekly earnings of the bus drivers is approximately $14.708.
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a student is 5ft tall and casts a shadow 15ft. long. a nearby tree casts a shadow that is 75ft. long. How tall is the tree?
Answer:
25ft
Step-by-step explanation:
15/5 = 3
75/3 = 25
(pls mark me brainliest)
Answer:
25 ft
Step-by-step explanation:
The kid's shadow is 15/5 = 3 times longer than his height.
Therefore, a tree with a 75 ft shadow should be 3 times shorter than its shadow.
=> 75/3 = 25 ft
NEED HELP ASAP!
The box plots below show student grades on the most recent exam compared to overall grades in the class:
Two box plots are shown. The top one is labeled Class. Minimum at 68, Q1 at 71, median at 84, Q3 at 89, maximum at 100. The bottom box plot is labeled Exam. Minimum at 55, Q1 at 76, median at 85, Q3 at 94, maximum at 100.
Which of the following best describes the information about the medians?
Group of answer choices
The class and exam medians are approximately equal.
The class median is much higher than the exam median.
The first quartile for class and exam is the same, but the exam has the lowest median.
The low outlier on exams affects the median significantly.
The statement that best describes the information about the medians would be: the class median and exam median are almost the same.
What is Median of a Data Set on a Box Plot?The vertical line dividing the rectangular box in a box plot represents the median of any data distribution that is represented on the box plot.
So, The median for class is 84
The median for exam is 85.
Thus, The class median and exam median are nearly identical, so it is the statement that best sums up the information regarding the medians.
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Equations of lines.
Answer:
455455
Step-by-step explanation:
do diddfdcv
Answer:
y2 - y1 / x2 - x1
Step-by-step explanation:
9-x^2 y = Given x = 4
Answer:
9-16y
Step-by-step explanation:
9-x^2y when x=4
plus in 4: 9- (4)^2y
=9-16y
1) Determine a. b if || a |= 6,|| b ||= 4 and the angle between the vectors 0 = π/3 ?
A) 24
B)-12
C) 12
D) None of the above
The dot product of vectors a and b || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.
The dot product of two vectors, we can use the formula:
a · b = ||a|| ||b|| cos(theta)
where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.
In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.
Substituting these values into the formula, we have:
a · b = 6 × 4 × cos(π/3)
To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:
a · b = 6 × 4 × 1/2
= 12
Therefore, the dot product of vectors a and b is 12.
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How many moles are in 1. 03 x 1023 molecules of CO?
There are 1.03 moles in 1.03 x 10^23 molecules of carbon monoxide (CO). This can be determined by using Avogadro's number, which states that there are approximately 6.022 x 10^23 particles (atoms, molecules) in one mole of a substance.
By dividing the given number of molecules by Avogadro's number, we can calculate the number of moles. To find the number of moles in 1.03 x 10^23 molecules of CO, we need to use Avogadro's number. Avogadro's number is a fundamental constant in chemistry and is defined as the number of atoms, molecules, or particles in one mole of a substance. It is approximately equal to 6.022 x 10^23 particles per mole.
In this case, we have 1.03 x 10^23 molecules of CO. Since one molecule of CO represents one particle, we can directly equate it to the number of particles. By dividing this number by Avogadro's number, we can convert it to the corresponding number of moles.
Therefore, the calculation would be: 1.03 x 10^23 molecules of CO / 6.022 x 10^23 molecules per mole ≈ 0.171 moles
Hence, there are approximately 0.171 moles in 1.03 x 10^23 molecules of carbon monoxide.
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Y = 10x so what’s the ratio of x:y
Answer:
10 to 1
Step-by-step explanation:
create a table of x-y values:
when x = 1, y = 10
when x = 2, y = 20
etc.
Answer:
1:10
Step-by-step explanation:
Theresa bought 18 postcards during 6 days of vacation. If she buys postcards at the same rate, after 9 days of vacation, how many total postcards will Theresa have bought?
Answer:
36
Step-by-step explanation:
you just devide 18 by 6, which was three, then you multiply from there up to 9, which gives you 36 ( that probably made no sense, im bad at math )
* ill mark u BRAINLIEST *
Alexa had $68, she spent $24 at the library, and $35 at the shoe store. Determine if she can afford a $12 shirt. Explain your answer.
Answer:
No
Step-by-step explanation:
$68 - $24 - $35 = $9
$9 < $12
Therefore, Alexa can't afford to buy a $12 shirt
Answer:
no
Step-by-step explanation:
24+35=59
59+12=71
so, it does not work
Jack bought a car for $29,000. He sold it for $10,000 3 years later. What is the percentage loss that Jack made?
Answer:
19000%
Step-by-step explanation:
i hope this correct
12) 12 ft. = ? yd. (1yd. = 3 ft)
13) 2 gal. = ? qt. (4qt.= 1 gal.)
14) 2 gal. = ? oz. (1qt. = 32 oz.)
Help!!
Which of the following is the inverse of y = 12 Superscript x?
Answer:
The inverse of the function is logx/log12
The inverse of a function
Given the function expressed as:
y = 12^x
To find the inverse, switch the variables to have:
x = 12^y
Take the log of both sides
logx = y log 12
y = logx/log12
Hence the inverse of the function is logx/log12
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Step-by-step explanation:mark brainlenies
Determine whether or not the function is one-to-one, and if it is, determine its inverse function
Determine the conditions for when a function has an inverse. Use the horizontal line test to recognize when a function is one-to-one. Find the inverse of a given function.
What is a horizontal line test?It is simple to establish whether the inverse of a function is also a function using the horizontal line test.
Because it fails the vertical line test, a function's inverse might not actually be a function.
Graph of the line
f\left( x \right) = - x + 2
f(x)=−x+2.
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Proving the Single Opposite Side Pair Theorem
Try it
+Given: AD - BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ABCD is a parallelogram
ZDAC and BCA
are alt interior angles
A
B
Statements
V 1. AD BC
2. AD || BC
3. ACAC
4. ZDAC and BCA
are alt interior angles
5. ZBCA Z DAC
Reasons
1 given
2. Given
3. Reflexive property
4. Def. Of alt, interior angles
D
C
5. Alternate interior angles theorem
Hint
Intro
We have shown the triangles are congruent, so their corresponding parts (sides/angles) are congruent. That lets us claim opposite sides are congruent and parallel.
1. AD ≅ BC, AD ║ BC . . . . given
2. ∠DAC ≅ ∠BCA . . . . alternate interior angles theorem
3. AC ≅AC . . . . reflexive property
4. ΔDAC ≅ ΔBCA . . . . SAS postulate
5. AB ≅ CD, ∠BAC ≅ ∠DCA . . . . CPCTC
6. AB ║ CD . . . . converse of alternate interior angles theorem
7. ABCD is a parallelogram . . . . definition of a parallelogram (has 2 pairs of parallel & congruent sides)
_____
We don't know what your tiles/choices are for statements or reasons. We have shown the triangles are congruent, so their corresponding parts (sides/angles) are congruent. That lets us claim opposite sides are congruent and parallel. YMMV
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How many sets of four consecutive positive integers are there such that the product of the four integers is less than $100,\!000$
Answer:
16,17,18,19
Step-by-step explanation:
one guy guessed. probably using a calculator
another guy took the 4th root of 100,000 and rounded down a number
(a third way started like this
n*(n+1)*(n+2)(n+3)=100000
A marine biologist dove 40ft below sea level to study the
coral and her drone is flying 20ft above sea level. What is
the distance between the marine biologist and the drone?
Answer:
60 feet
Step-by-step explanation:
PLZ ANSWER ONLY IF YOU KNOW!!! BRAILIEST 5 STARS AND A THANKS!!!
When Samantha uses her calling card overseas, the cost of a phone call is $0.75 for the first three minutes and $0.12 for each additional minute, thereafter. Samantha plans to spend at most $3.60 to make a call. Find the greatest possible length of talk time. Round your answer to the nearest whole number.
x = 26.75 min
26 minutes, would = 3.51. if you add .12 to that it is 3.63.
so the most that she could talk would be 26 minutes.
Which graph represents a quadratic function that has no real zeros?
Therefore , the solution of the given problem of quadratic equation comes out to be the vertex could be above or below the x-axis, but the important point is that the graph does not cross the x-axis.
What is a quadratic equation?Regression modelling uses the polynomials conclusion x = ax2 + b + c=0 for one-variable equations. The First Theorem on Algebra claims that as this cubic has a second derivative, there is only one solution. There are simple and complex solutions available. The term "quadratic solution" refers to a set of four variables. This implies that there may only be one squared word.
Here,
A quadratic function that has no real zeros has its vertex above or below the x-axis, but not crossing it. Therefore, the graph should not intersect the x-axis. Here is an example of such a graph:
|
|
|
|
|
|
__________|__________
The vertex could be above or below the x-axis, but the important point is that the graph does not cross the x-axis.
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Consider F and C below. F(x, y) = x2y3i + x3y2j, C: r(t) = t5 − 2t, t5 + 2t , 0 ≤ t ≤ 1 (a) Find a function f such that F = ∇f. f(x, y) = (b) Use part (a) to evaluate C F · dr along the given curve C.
Expression with respect to t over the interval [0,1] to evaluate the line integral C F · dr along the given curve C.
To find a function f such that F = ∇f, we need to find the potential function of the vector field F(x, y).
Let's start by computing the partial derivatives of f with respect to x and y:
∂f/∂x = ∂/∂x (x²y³) = 2xy³
∂f/∂y = ∂/∂y (x³y²) = 3x³y²
Now, let's equate these partial derivatives with the components of the vector field F(x, y):
2xy³ = x²y³
3x³y² = x³y²
Simplifying these equations, we can see that they are satisfied when x = 1 and y ≠ 0. Therefore, we can choose the function f(x, y) = x²y³.
Now, let's move on to part (b) and evaluate C F · dr along the given curve C with derivatives.
The curve C is defined as r(t) = (t⁵ - 2t, t⁵ + 2t), where 0 ≤ t ≤ 1.
To evaluate the line integral, we need to express F in terms of t and differentiate r(t) with respect to t to obtain dr/dt.
F(x, y) = x²y³i + x³y²j = (t⁵ - 2t)²(t⁵ + 2t)³i + (t⁵ - 2t)³(t⁵ + 2t)²j
dr/dt = (∂x/∂t)i + (∂y/∂t)j = (5t⁴ - 2)(t⁵ + 2t)i + (5t⁴ + 2)(t⁵ + 2t)j
Now, we can evaluate C F · dr by substituting the values:
C F · dr = ∫[0,1] (F · dr)
= ∫[0,1] [(F · dr)/dt] dt
= ∫[0,1] [(F(r(t)) · dr/dt)] dt
Substituting the values of F and dr/dt, we have:
C F · dr = ∫[0,1] [((t⁵ - 2t)²(t⁵ + 2t)³)((5t⁴ - 2)(t⁵ + 2t) + (5t⁴ + 2)(t⁵ + 2t))] dt
You can now integrate the above expression with respect to t over the interval [0,1] to evaluate the line integral C F · dr along the given curve C.
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8x-12=-8x-12
What is the answer to this equation
Answer:
Any value for x will always be true
Step-by-step explanation:
Step 1: Add 8x to both sides
Step 2: Add 12 to both sides.
Step 3: Divide both sides by 16.
x=0 (Any value)
PLS HELP ASAP PLS!!!
Answer:
Step-by-step explanation:
Use the distributive property:
\(2x^3 - 3x^2 - 7x + 2x^2 - 3x -7\)
Combine like terms:\(2x^3 -x^2 -10x-7\)
3x (4 + 2x - 5y)
Hola una ayuda pliss
Answer:
-15xy + 6x² + 12x
Step-by-Step Explanation:
3x(4+2x-5y) distribute 3x
12x + 6x² -15xy
make sure to put -15xy first
-15xy + 6x² + 12x
The simplified expression is:
⇨ 12x + 6x² - 15xyWork/explanation:
To simplify \(\bf{3x (4 + 2x - 5y)}\), I distribute 3x through the parenthesis:
\(\bf{3x(4+2x-5y)}\)
\(\bf{12x+6x^2-15xy}\)
Hence, the answer is 12x + 6x² - 15xyWhat is the bias of a kernel density estimate?
The bias of a kernel density estimate is overestimating or underestimating the total value
A non-parametric technique for calculating the probability density function of a random variable is called kernel density estimation (KDE). The tendency of the estimator to continually overestimate or underestimate the true underlying density is referred to as a KDE's bias. The kernel function that is selected to smooth the data can influence a KDE's bias. Wider bandwidths tend to create estimators with a low variance but high bias, whereas narrower bandwidths tend to produce estimators with high bias but a low variation.
The bandwidth selection has an impact on the estimator's bias as well, with lower bandwidths producing more bias. Cross-validation is the technique for choosing an acceptable bandwidth that strikes a balance between the trade-off between bias and variance. As a result, by selecting an appropriate bandwidth and kernel function, the bias of a KDE can be decreased.
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