CALCULATOR COLOR THEME 0 ZOOM 2. Danielle wants to translate triangle XYZ so that vertex Yis mov (-4,2) to (0,-3). Which of the following mappings can be used to coordinates of Xand Z?
Answers
Answer:The answer is (x,y)->(+4,y-5)
Step-by-step explanation:
since -4 to 0 is + 4 and 2 to -3 is -5
The correct mapping is (x, y) ⇒ (x + 4, y - 5)
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 up, down, right or left in the coordinate plane. If a point A(x, y) is moved a units right and b units down, the new location would be at A(x + a, y - b).
Since the vertex Y(-4, 2) was translated to Y'(0, -3), hence the triangle was translated 4 units to the right (-4 + 4 = 0) and 5 units down (2 - 5 = -3). This can be represented by the mapping:
(x, y) ⇒ (x + 4, y - 5)
Therefore to find x and z coordinates, use the mapping:
(x, y) ⇒ (x + 4, y - 5)
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Related Questions
If xi and yi are positively correlated in the sample then the estimated slope is _____. a. less than zero b. greater than zero c. equal to zero d. equal to one
Answers
If xi and yi are positively correlated in the sample, then the estimated slope is :
b. greater than zero.
When xi and yi are positively correlated, it means that as the value of xi increases, the value of yi also increases, and vice versa. In this case, the estimated slope of the regression line will be greater than zero, indicating a positive relationship between xi and yi.
The estimated slope, often denoted as "b" in a simple linear regression model (y = a + bx), quantifies the change in the dependent variable (yi) for each unit change in the independent variable (xi). In the case of a positive correlation, the estimated slope (b) would be greater than zero, indicating that for each unit increase in xi, yi is expected to increase by an amount equal to the estimated slope (b).
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Anita wants to withdraw $1,000 per month for the next 10 years. She will withdraw the first amount in one month. The bank pays interest at 6% compounded monthly. How much does she need to deposit today to do this?
Some other number
$90,073.45
$120,000.00
$92,421.48
$94,281.35
Answers
She needs to deposit of amount $92,421.48 today to do this.
We need to find out the present value of $1,000 per month for the next 10 years by considering the interest rate and compounding period given. We are given,Anita wants to withdraw $1,000 per month for the next 10 years.The bank pays interest at 6% compounded monthly.We can calculate the present value of $1,000 per month for the next 10 years by using the formula for Present Value of Annuity. The formula for Present Value of Annuity is given by:PVA= A((1- (1+r)^-n)/r), wherePVA = Present Value of AnnuityA = Amountn = Number of Periodsr = Interest Rate per PeriodFirst, we calculate the interest rate per period as follows:r = 6% per annum/ 12 monthsr = 0.5% per monthNumber of periods (n) = 10 years x 12 months per year = 120 months Amount of Annuity (A) = $1,000Using the above values, we can calculate the present value of the annuity as follows:PVA = 1000 * ((1- (1+0.5%)^-120)/(0.5%))PVA = $92,421.48Therefore, she needs to deposit $92,421.48 today to do this. Therefore, the correct option is $92,421.48.
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What is the distance between points A and B?
Answers
Answer:
\(distance = (1 - ( - 5)) \\ = (1 + 5) \\ = 6 \: units\)
Answer:
6 unites
Step-by-step explanation:
because it's increasing not decreasing
have a nice day :)
Are these lines parallel,perpendicular or neither ? Y=(-4/3)xt18y=(4/3)x-6
Answers
Answer:
neither
Step-by-step explanation:
when slopes are the same its parallel
when slopes are multiplied and it equals -1 they are perpendicular
pls pls help whoever gets it right gets marked brainliest
Answers
Answer:
\(x + 2 = - 3x\)
\( - 4x = 2\)
\(x = - \frac{1}{2} \)
\( - 3( - \frac{1}{2} ) = \frac{3}{2} = 1 \frac{1}{2} \)
So the lines intersect at (-1/2, 1 1/2), or
(-.5, 1.5).
The diagram shows 3 identical circles inside a rectangle.
Each circle touches the other two circles and the other two sides of a rectangle, as shown in the diagram.
The radius of each circle is 2mm.
Work out the exact area of the rectangle.
Give your answer in the form a √3 + b where a and b are integars.
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The area of the rectangle is 11704mm².
How to calculate the area?It should be noted that area will be:
= Length × Width
Length = 28 + x + 28 = x + 56
Width = 28 + 28 + 28 + 28 = 112
Using Pythagoras, x will be:
x² = 56² - 28²
x = 48.5
Therefore, the length will be:
= x + 56
= 48.5 + 56.
= 104.5
The area will be:
= 104.5 × 112
= 11704mm²
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Ten times the sum of twice a number six. Please show the steps and explain<333
Answers
Answer: 120!
Step-by-step explanation:
6 + 6 = 12
12 x 10 = 120
If the sum is twice the sum of 6 you would add 6 twice and then you would multiply 12 times 10.
Hope i helped! <333
find slope of the line given (0,-2) and (-2, -8)
Answers
Answer:
\(3\)
Step-by-step explanation:
\(\mathrm{The\ slope\ of\ a\ line\ passing\ through\ the\ points\ (x_1,y_1)\ and\ (y_2,y_1)\ is\ given\ by:}\\\mathrm{Slope(m)=\frac{y_2-y_1}{x_2-x_1}}\\\\\mathrm{According\ to\ the\ question,}\\\mathrm{(x_1,y_1)=(0,-2)}\\\mathrm{(x_2,y_2)=(-2,-8)}\)
\(\mathrm{Therefore\ the\ slope=\frac{-8-(-2)}{-2-0}=\frac{-8+2}{-2}=3}\)
Consider the function f(q)=q
3
+5q
2
. If the Taylor series is expanded through the third derivative to estimate the value of the function at q=0.5, with a=0, what would be the truncation error?
Answers
The truncation error of the Taylor series approximation of f(q)=q^3+5q^2 at q=0.5 with a=0, when the third derivative is used, is -2.
The Taylor series approximation of f(q)=q^3+5q^2 at q=0.5 with a=0 is:
T_3(q) = q^3 + 3q^2 + 3q + 1
The truncation error is the difference between the actual value of the function and the approximation. In this case, the truncation error is:
f(0.5) - T_3(0.5) = -2
The truncation error is caused by the fact that we are only using a finite number of terms in the Taylor series approximation. The higher the order of the approximation, the smaller the truncation error will be.
In this case, we are using the third derivative of the function, so the truncation error is relatively small. However, if we were to use a lower-order approximation, the truncation error would be larger.
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Isabel has scored 22, 20, and 20 points in her three basketball games so far. How many points does she need to score in her next game so that her average is 20 points per game?
Answers
Answer: 18
Step-by-step explanation:
To average 20 in 4 games, she would need 80 points in total. In her 3 games, she gets 62 points.
80 - 62 = 18
Can I pls get help ?
Answers
Answer:
Step-by-step explanation:
b is the answer
(Irrational Numbers LC) Which of the following numbers are irrational? negative eight and 2183 ten thousandths, one third pi, the cube root of twenty-five, and nine plus the square root of four −8.2183 and nine plus the square root of four −8.2183 and one third pi one third pi and the cube root of twenty-five the cube root of twenty-five and nine plus the square root of four
8TH grade pre algebra
Answers
Answer:its c
Step-by-step explanation:
i took the test
Side AB is opposite which angle in triangle ABC?
Answers
Answer:
Angle C is the opposite angle of AB
Side AB is opposite to angle ∠ACB in triangle ABC
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In the given rectangle, AC is the diagonal
ABC and ADC are two right triangles.
We have to find the angle which is opposite to the side AB.
The angle opposite to side AB is angle C.
In the option we have angle ∠ACB.
Hence, Side AB is opposite to angle ∠ACB in triangle ABC
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let f(x)=72−x−x2f(x)=72−x−x2. find the open intervals on which ff is increasing (decreasing). then determine the xx-coordinates of all relative maxima (minima).
Answers
The relative maximum of f(x) occurs at x = -1/2
How to find the relative maxima?
To find the open intervals on which f(x) is increasing or decreasing, we need to find the first derivative of f(x) and determine its sign.
f(x) = 72 - x - x^2
f'(x) = -1 - 2x
For f'(x) to be positive, -1 - 2x > 0, which gives us x < -1/2. This means that f(x) is increasing on the open interval (-∞, -1/2).
For f'(x) to be negative, -1 - 2x < 0, which gives us x > -1/2. This means that f(x) is decreasing on the open interval (-1/2, ∞).
To find the relative maxima and minima of f(x), we need to set f'(x) equal to zero and solve for x:
-1 - 2x = 0
x = -1/2
This is the only critical point of f(x), and it is a relative maximum since f(x) is increasing to the left of x = -1/2 and decreasing to the right of x = -1/2.
Therefore, the only relative maximum of f(x) occurs at x = -1/2.
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Does 7 = 0 ???????????????
Answers
Answer:
no never. it won't be zero.
i need help on this, thanks
Answers
Answer:
9
Step-by-step explanation:
Vertical angles are congruent, so:
\(16y=18y-18 \\ \\ -2y=-18 \\ \\ y=9\)
Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0. 55x to determine the cost, c, for x cupcakes. Which best represents the constant rate at which cupcakes are sold at the bake sale?
55 cupcakes per dollar
$0. 55 per cupcake
$4 per cupcake
4 cupcakes per dollar
Answers
Best represents the constant rate at which cupcakes are sold at the bake sale $0. 55 per cupcake
Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0. 55x to determine the cost, c, for x cupcakes. Which best represents the constant rate at which cupcakes are sold at the bake sale?
55 cupcakes per dollar
$0. 55 per cupcake
$4 per cupcake
c = 0. 55x
to determine the cost, c,
for x cupcakes.
CASE 1
55 cupcakes per dollar
therefor x = 55
c = 0. 55x
c = 0. 55 × 55
= 30.25
case2
$0. 55 per cupcake
x = 1
c = 0. 55x
c = 0. 55 × 1
= 0. 55
case 3
$4 per cupcake
x = 1
c = 0. 55x
c = 0. 55 × 1
= 0. 55
therefor conclusion is best represents the constant rate at which cupcakes are sold at the bake sale $0. 55 per cupcake
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mplement the task of simulation in computation language of your choice to validate the central limit theorem (concept in §4.11)
Answers
The Central Limit Theorem is a fundamental concept in statistics that states that the sampling distribution of the mean of a random sample approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
To validate the Central Limit Theorem, you can follow these steps in any computation language of your choice:
1. Define the population distribution: Choose a probability distribution, such as a uniform, exponential, or binomial distribution, to represent the population from which samples will be drawn.
2. Generate random samples: Use the chosen distribution to generate random samples of different sizes. For example, you can generate 100 samples of size 10, 100 samples of size 30, and so on. Make sure to record the means of these samples.
3. Calculate the sample means: For each sample, calculate the mean by summing up all the values in the sample and dividing by the sample size.
4. Plot the sampling distribution: Create a histogram or a density plot of the sample means. This plot will show the distribution of the sample means.
5. Compare with the theoretical distribution: Overlay the theoretical normal distribution on the plot of the sample means. The mean of the sample means should be close to the mean of the population, and the shape of the distribution should resemble a normal distribution.
6. Repeat the process: Repeat steps 2-5 with different sample sizes to observe how the shape of the sampling distribution changes as the sample size increases. The Central Limit Theorem predicts that the distribution of the sample means will approach a normal distribution as the sample size increases.
By following these steps and comparing the distribution of the sample means with the theoretical normal distribution, you can validate the Central Limit Theorem in your chosen computation language.
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What is the quotient of the following division problem? x + 2 x + 1 x2 + 3x + 2 0.
Answers
The quotient of the division problem is (x + 1)/(x +2). The result is obtained by determining the factors of the two quadratic equations.
How to find the factors of a quadratic equation?The quadratic equation can be expressed as
ax² + bx + c = 0
Where c is a constant.
To find the factors of a quadratic equation, follow these steps!
Find the two numbers that the product is equal to ac and the sum is equal to b.Use them as the common factors and simplify.Find the quotient of (x² + 2x + 1)/(x² + 3x + 2) = 0!
For quadratic equation x² + 2x + 1:
a = 1, b = 2, c = 1.ac = 1The two numbers are 1 and 1 → 1+1 = 2 and 1×1 = 1.The common factors: (x + 1)(x + 1)
For quadratic equation x² + 3x + 2:
a = 1, b = 3, c = 2.ac = 2The two numbers are 2 and 1 → 2+1 = 3 and 2×1 = 2.The common factors: (x + 2)(x + 1)
The quotient of the quadratic equations is
(x² + 2x + 1)/(x² + 3x + 2) = 0
(x + 1)(x + 1)/(x + 2)(x + 1) = 0
(x + 1)/(x + 2) = 0
Hence, the quotient of the quadratic equations is (x + 1)/(x + 2) = 0.
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a car is purchased for . each year it loses of its value. after how many years will the car be worth or less? (use the calculator provided if necessary.)
Answers
Answer: I calculated the value after 5 years to be 5,734.40 or 5,734
Step-by-step explanation:
Which equation represents a line which is parallel to the line 2x+7y=-56
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Find the x-intercept and the y-intercept of the line 2x-5y= -6
Answers
2(0)-5y=-6
-5y=-8
y is equal to 8/5
To find x intercept, make y equal zero
2x-5(0)=-6
2x=-1
x is equal to -1/2
Answer:
Step-by-step explanation:
2x - 5y = 6
5y = 2x - 6
y = 2/5x - 6/5
y-intercept is -6/5
x-intercept is when you say that y = 0
and so 6/5 = 2/5x
x = 6/2 = 3
In a triangle the measurements of the angles are x°, ( x + 6)°, (2x + 10)°, and the sum of the three angles of a triangle is 180. What is the measurement of the largest angle in degrees?
Answers
Answer:
largest angle = 92°
Step-by-step explanation:
Since the measurement of the angles are;
x°, ( x + 6)°, (2x + 10)°
And we know that sum of angles in a triangle is 180. Thus;
x + (x + 6) + (2x + 10) = 180
x + x + 6 + 2x + 10 = 180
4x + 16 = 180
4x = 180 - 16
4x = 164
x = 164/4
x = 41°
The other two angles will be;
(41 + 6)° and (2(41) + 10)°
Which gives;
47° and 92°
So,largest angle = 92°
BRIDGES The lower arch of the Sydney Harbor Bridge can be modeled by g(x) = - 0.0018 * (x - 251.5) ^ 2 + 118 where in the distance from one base of the arch and g(x) is the height of the arch. Select all of the transformations that occur in g(x) as it relates to the graph of f(x) = x ^ 2
Answers
The transformations to the graph of the quadratic function are given as follows:
The graph stretches vertically because of the multiplication by 3.The graph is translated left because x -> x + 7.The graph is translated down because y -> y - 6.What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.Additionally, when the function is multiplied by |a| > 1, it is said that the function is vertically stretched by a factor of a.
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In an instruction like: z = x + y, the symbols x, y, and z are examples of _____.
a. output
b. visibles
c. variables
d. instructions
Answers
The symbols x, y, and z are examples of variables in an instruction like z = x + y.
A variable is a term that signifies anything that can be varied or altered. In programming, variables are utilized to hold values that might be modified and used in later code.
A variable is a name that identifies a memory location where data is stored. It can be changed anytime. Variables are commonly used in mathematical expressions, such as those seen in algebra. For example, x + 150 = 300In this instance, x is the variable. 150 and 300 are constants.
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Find the Surface area of the trapezoid
please help
show work
Answers
Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5
Kaylin buys a greeting card for 3.79. She then buys 4 postcards that all cost the same amount. The total cost is 5.11. How much is each postcard? Show your work.
Answers
Answer:
0.33
Step-by-step explanation:
5.11-3.79= total for 4 postcards
then answer divided by 4 postcards
Please help!!! I don’t know how to do this
Answers
Answer:
O C. x = 3
Step-by-step explanation:
If a line is parallel to y-axis, the equation of the line is x = constant because it is at a constant distance from y-axis. so for the given question, x = 3 is the equation of the line passing through (3,2).
Find the perimeter of the figure.
istg i am going crazy :) i hate math
Answers
Answer:
30 centimeters
Step-by-step explanation:
P = 6 + 4 + 4 + 6.5 + 9.5 = 30
If the allele frequency of the dominant allele is 0.4, what value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1?
Answers
The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
According to the statement
we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.
So, For this purpose, we know that the
The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.
And here
allele frequency is the 0.4 and represent the value of P.
So, The value of p is 0.4 and the
Then p^2 = (0.4)^2
so, the value becomes
p^2 = (0.4)^2
p^2 = 0.16.
So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
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