The line y=6 represents the line of reflection for rectangle
A preimage's figure will be reflected over a line of symmetry to create an image with the same coordinates.
A line or axis that passes through the center of a geometric form and delineates its partition into two identical, symmetrical parts is known as the line of symmetry.
The representation of the figure on one side of the symmetry line is a reflection of the figure on the other side of the symmetry line.
The line of symmetry in the picture, provided that it is shaped like a rectangle, will be a line that runs parallel to the side next to the chosen side and across the middle of one of its sides.
Line of reflection will be y = 6 if point pair A,B takes the place of point pair C,D.
Similar to how the pair of vertices A,C replaces the other pair B,D, the line of reflection will be at x = 4.5.
As a result, the line in Option A will serve as the line of reflection.
To know more about Transformation here
https://brainly.com/question/10612394
#SPJ4
A triangle has sides with lengths of 3 yards, 4 yards, and 5 yards. Is it a right triangle?
Answer:
It is a right triangle
Step-by-step explanation:
Depending on how you make the triangle if 3 is A 4 is B and 5 is C then the Pythagorean Theorm would be correct and it would be a right triangle.
Answer:
A triangle has sides with lengths of 6 inches, 8 inches, and 10 inches. Is it a right triangle?
Step-by-step explanation:
Avery puts up a radio antenna tower in his
yard. Ella tells him that their city has a law
limiting towers to 50 ft in height. How can
Avery use the lengths of his shadow and the
shadow of the tower to show that his tower is
within the limit without directly measuring it.
Step-by-step explanation:
Using similar triangles:
6ft height is to 5 feet shadow as tower height is to 40 ft tower shadow
6/5 = h / 40 <====solve for 'h'
40 * 6/5 = h = tower height = 48 feet tower height
What is the quotient of the synthetic division problem below, written in polynomial form?
-1| 1 7 15 9 7
Answer:
Step-by-step explanation:
If we have 5 terms to the right of the -1 outside the box thing, that means that our original polynomial is a 4th degree (the degree is one lower than the number of terms in order to allow for the constant which has no variable). Set up the synthetic division as shown in the problem. The rule is to bring down the first term, the 1 to the right of the box, multiply it by the number outside, -1, and put that product up under the next number in line inside the box. Like this:
-1 | 1 7 15 9 7
-1
1
Now add straight down, multiply the sum by -1 and put that product up under the next term in line, the 15:
-1 | 1 7 15 9 7
-1 -6
1 6
Then add straight down again, multiply the sum by -1 and put that product up under the next term in line, the 9:
-1 | 1 7 15 9 7
-1 -6 -9
1 6 9
Then do the same thing. Add straight down, multiply the sum by -1 and put the product up under the next term in line, the 7:
-1 | 1 7 15 9 7
-1 -6 -9 0
1 6 9 0 7
This is the final result. The last number, the 7 is the remainder, but the rest of it makes up what we call the depressed polynomial and is a polynomial that is one degree less than the degree we started with. So this depressed polynomial is a 3rd degree. The numbers are the coefficients on the x terms:
\(1x^3+6x^2+9x+0R7\) or more simply stated:
\(x^3+6x^2+9xR7\)
Need the answer for these
Answer:
Step-by-step explanation:
2A. 3x=6 ⇒ x=2
2B. 3n=2(n-3) ⇒ 3n=2n-6 ⇒ n= -6
1. cross multiplication method
Question 4
Five male German Shepherds were chosen and measured. Their heights were the following: 24, 25, 23, 24, 24
What is the range of the heights of the German Shepherds?
Your answer:
A. 2
B. 48
C. 12
Help me out plz
Help please!!!! 50 points!!!!
Amara has taken out a fixed rate mortgage for $125,000 at 4.04% for 20 years, or 240 months. Her payments are $730. What is the total cost of the loan?
A. $130,050
B. $175,200
C. $211,680
D. $226,000
Answer:
182,427.03
Step-by-step explanation:
total cost = r*p*n
---------------
1- (1+r) ^-n
Where r is the loan rate, p is the principal, n is the number of payments
rate = 4.04% / 12 months
total cost = (.0404/12)* 125000* 240
------------------------------
1- (1+.0404/12)^-240
101000
-----------------
1-.44635
101000
-----------------
.55364
182,427.03
Using Payments are 730 *240 months
730*240 =175200
Hey guys- maths calc question here! Please help asap as its revision for big test tmrw
Using the discounted amount and percentage, the actual price is £21.25
What is the actual price of the watch?Let's first calculate the price of the trainers after the discount.
The trainers were priced at £38, and there was a 15 percentage loyalty discount. To calculate the discounted price, we need to subtract 15% of £38 from £38.
Discounted price of the trainers = £38 - (15/100) * £38
Discounted price of the trainers = £38 - 0.15 * £38
Discounted price of the trainers = £38 - £5.70
Discounted price of the trainers = £32.30
Now, we know that the total price for the watch and trainers combined after the discount is £53.55.
Total price after discount = Price of the watch + Discounted price of the trainers
£53.55 = Price of the watch + £32.30
To find the price of the watch, we subtract the discounted price of the trainers from the total price:
Price of the watch = £53.55 - £32.30
Price of the watch = £21.25
Therefore, the price of the watch before the discount is £21.25.
Learn more on discounted price here;
https://brainly.com/question/7459025
#SPJ1
Help me please!!!!!!!!!!!!
calculate r-squared,--the coefficient of determination--given that the linear correlation coefficient, r, is 0.817. what does this tell you about the explained variation and the unexplained variation of the data about the regression line?
R-squared is calculated as the square of the linear correlation coefficient (r). In this case, the linear correlation coefficient is 0.817, so the R-squared can be calculated as follows:
R-squared = r^2 = 0.817^2 = 0.67
R-squared measures the proportion of variation in the dependent variable that is explained by the independent variable in a regression analysis. A value of R-squared close to 1 indicates that a large proportion of the variation in the dependent variable is explained by the independent variable, while a value close to 0 indicates the opposite.
In this case, a value of 0.67 for R-squared indicates that 67% of the variation in the dependent variable is explained by the independent variable, while the remaining 33% is unexplained.
To learn more about R-squared, visit here
https://brainly.com/question/13324767
#SPJ4
true/false. order the following steps from transcription through the initiation of translation.
Transcription - Translation - Initiation
True. Here is the ordered sequence of steps from transcription through the initiation of translation:
1. Transcription: This is the process in which the DNA sequence is copied into RNA (messenger RNA or mRNA) by the enzyme RNA polymerase.
2. RNA Processing: The newly formed mRNA undergoes modifications such as splicing to remove introns, addition of a 5' cap, and addition of a 3' poly-A tail.
3. Initiation of Translation: The processed mRNA is transported to the ribosome, where the process of translation begins. The small ribosomal subunit, along with the initiation factors, binds to the mRNA. The start codon (AUG) is recognized by the initiator tRNA, and the large ribosomal subunit binds to form the complete translation initiation complex.
Once the initiation of translation is complete, the process of elongation and termination of translation follows, ultimately resulting in the synthesis of a protein.
Learn more about transcription here: brainly.in/question/1995937
#SPJ11
Find the measurement of x
Answer:
14
Step-by-step explanation:
90-34=56/4 =14
I need help ASAP please help me
Answer:
<4 ~= <8 - Corresponding Angles Theorem
<2 ~= <8 - Alternate Exterior Angles Theorem
<2 ~= <4 - Vertical Angles Theorem
line I || line m - Transitive Property
1
2
01.49.15
Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the
solution set of this problem?
X<-5
O x>-5
O x>-1
O XC-1
9514 1404 393
Answer:
x > -5
Step-by-step explanation:
(2/5)(x -1) < (3/5)(x +1) . . . . . given
2(x -1) < 3(x +1) . . . . . . . . . . .multiply by 5
2x -2 < 3x +3 . . . . . . . . . . . eliminate parentheses
-5 < x . . . . . . . . . . . . . . . . . . add -2x-3 to both sides
This matches the second answer choice: x > -5.
Is (2,4), (3,9), (4,16), (5,25) a linear function
Answer:
Step-by-step explanation:
Yes
int \( a[4]=\{1,2,3,4\} \) int \( { }^{*} p=a \); What is the value of \( *(p+3) ? \)
The value of the expression is 4.
The code :
int a[4] = {1, 2, 3, 4};
int *p = a;
what is *(p + 3)?
The variable a is an array of integers, and the variable p is a pointer to the first element of the array.
The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.
Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.
Therefore, the value of the expression is 4.
Here is a breakdown of the code:
int a[4] = {1, 2, 3, 4}: This line declares an array of integers called a and initializes it with the values 1, 2, 3, and 4.
int *p = a; This line declares a pointer to an integer called p and initializes it with the address of the first element of the array a.
what is *(p + 3)?: This line asks what the value of the expression *(p + 3) is.
The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.
Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.
Therefore, the value of the expression is 4.
To learn more about expression here:
https://brainly.com/question/28170201
#SPJ4
Correct Question :
Int a[4]={1,2,3,4}, int *p=a. What is the value of *(p+3)?
Find the exterior angle
Check the picture below.
in how many ways can you put 8 distinguishable balls into 3 distinguishable boxes such that each box has at least one ball?
We can put 8 distinguishable balls into 3 distinguishable boxes such that each box has at least one ball in 21 ways.
Given, that there are 3 boxes and we have to put 8 balls in them such that no box is empty.
Let, a + b + c = 8, where a , b , c represent three different boxes.
The equation be reduced by allotting 1 ball to each box so that no box remains empty.
Hence, a + b + c = 5
Now, using the formula of "no. of ways in which 'n' objects can be grouped into 'r' groups" i.e. C(n+r-1 , r-1)
So, the required number of ways = C(5+3-1 , 3-1) = C(7 , 2)
Calculating, C(7 , 2) = (7×6)/2 = 21
Hence, we can put 8 distinguishable balls into 3 distinguishable boxes such that each box has at least one ball in 21 ways.
Learn more about Permutation and Combination here https://brainly.com/question/1216161
#SPJ4
Can someone please help me
Answer:
x = 13
Step-by-step explanation:
Vertical angles (angles that share a vertex point) have equal measure.
So 2x + 6 = 32
2x = 26
x = 13
Darenda worked for three weeks. The shaded part of the model represent the fraction of each week for she worms The shaded part of the model represent the fraction of each week for she worked from her home office. Which expression can be used to determine the number of weeks Darenda work from home office over these three weeks
for that it is 3 x 3/7
Answer:
3 x 3/7 is the answer but on your paper u can just say D hope this helps
Elise is buying a new car selling for $21,450. The rate of depreciation on this type of car is 8% per year. What is the value of the car in five years? Show your work.
Answer:
$14,137.3
Step-by-step explanation:
21450*0.92^5
so put the og value, then the value its gonna have but in decimal form - so 92% would be 0.92 and make the amount of years the square
solve
$14,137.3
The value of the car after five years will be $14135.5.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earn on interest of principal.
What is percentage?The percentage is defined as the ratio expressed as a fraction of 100.
The percentage is denoted by sign of %.
For example, if XYZ scored 46% marks in his test, it means that he scored 46 marks out of 100. It is written as 46/100 in the fraction form and 46:100 in terms of ratio.
The initial value of car (P) = $21,450
The rate of depreciation of car is 8% per year.
Time period (n) = 5 years
The value of the car after five years
A = P ( 1 - r/100 )ⁿ
Substitute the values of P, r and n in formula
A = 21450 ( 1 - 8/100 )⁵
A = 21450 ( 1 - 0.08 )⁵
A = 21450 ( 0.92 )⁵
A = 21450 ( 0.659 )
A = 14135.5
Hence, the value of the car after five years will be $14135.5.
Learn more about Compound interest here:
brainly.com/question/25857212
#SPJ5
what is the answer to: 15% x 1,200
100 points to anyone who answers
The answer will be 180 .
Given,
15% × 1200.
Firstly convert 15% to fraction form.
Percentage to fraction;
15% = 15/100
Now,
15/100 × 1200
15 × 12
180.
Thus the value of 15% of 1200 is 180.
Know more about Percentages,
https://brainly.com/question/14161154
#SPJ1
use distributive property to write an equivalent expression 3(2x+3y)
Answer:
6x + 9y
Step-by-step explanation:
3 * 2x = 6x
and
3 * 3y = 9y
then combine them with a plus sign
Here are two circles, Circle A and Circle D. Segment AD connects the two centers and is 10 inches long. Segment AD is a side to square ABCD. What is the area of the shaded region.
Answer:
the answer is, area of the square - a half of area of the circle
C=circle and S =square
radius of C is 10
so Area Of C is =
\(\pi r^{2} = \pi{10}^{2} = 100\pi\)
area of S = 10×10 = 100
so the answer is
\(s - \frac{c}{2} = 100 - \frac{100\pi}{2} = 100 - 50\pi\)
An art gallery owns a painting that is valued at $37,000. The gallery owner estimates that its value will increase by 10% every year. If the owner is correct, then how much will it be worth in 4 years?
Answer: $51,800
Step-by-step explanation:
if the value increases by 10% every year, we can represent this as a linear function, in the form:
y = mx + b
y = [0.1(37,000)]x + 37,000
0.1 x 37000 represents the 10% increase per year, and x represents the number of years that have passed. we add 37,000 at the end to represent the original cost of the painting.
we can simplify the 0.1(37,000) to 3700, which is how much the painting's cost should increase per year. so our equation is:
y = 3,700x + 37,000
So, in 4 years, the painting will be worth:
y = 3,700(4) + 37,000
14,800 + 37,000
$51,800
Give the product of 1/2 x 3
\( \frac{1}{2} \times 3 = \frac{3}{2} = 1 \frac{1}{2}\)
Answer:
3/2 or 1 1/2
Step-by-step explanation:
Multiplying a fraction by a whole number is simply getting the whole number and multiplying it by the numerator of the fraction, followed by dividing the result by the denominator.
If so, 1/2 * 3 will equal 3/2, and dividing will make it equal a dirty decimal. We can leave it as is.
HELPP 25) Given the polygons ABCD ~ EFGH below are similar: List the scale factor. Solve for x and y. (Show all equations and work)
The values of x and y using the concept of similar figures are:
y = 166 and x = 3.33 units
How to find the angles in similar quadrilaterals?Two triangles are said to be similar if their corresponding side proportions are the same and their corresponding pairs of angles are the same. When two or more figures have the same shape but different sizes, such objects are called similar figures.
We are told that Polygon ABCD is similar to Polygon EFGH and as such applying the similar figure definition above, we can say that:
∠B = ∠F
Thus:
∠B = 360 - (61 + 116 + 90)
∠B = 360 - 267
∠B = 93°
Thus:
y - 73 = 93
y = 166
Using the concept of similar figures, then:
6/4 = 5/x
x = 20/6
x = 3.33 units
Read more about similar quadrilaterals at: https://brainly.com/question/16261621
#SPJ1
The town of Oxington currently has a population of 200,000.
Each year, the population of Oxington will reduce by 8%.
ow many fewer people will live in Oxington in 5 years compared with
In 5 years, there will be 80,000 fewer people living in Oxington compared to the initial population of 200,000.
To calculate the difference in population in Oxington after 5 years due to an 8% annual reduction, we can use the following steps:
Step 1: Calculate the reduction in population per year.
Since the population is reducing by 8% each year, we need to find 8% of the current population. To do this, we multiply the population by 8% (or 0.08).
Reduction per year = 0.08 * 200,000 = 16,000.
Step 2: Calculate the reduction in population after 5 years.
To find the reduction in population after 5 years, we multiply the annual reduction by the number of years.
Total reduction in 5 years = Reduction per year * 5 = 16,000 * 5 = 80,000.
Step 3: Calculate the population after 5 years.
To find the population after 5 years, we subtract the total reduction from the initial population.
Population after 5 years = Initial population - Total reduction = 200,000 - 80,000 = 120,000.
Step 4: Calculate the difference in population compared to the initial population.
To find the difference in population, we subtract the population after 5 years from the initial population.
Difference in population = Initial population - Population after 5 years = 200,000 - 120,000 = 80,000.
For more such questions on initial population visit:
https://brainly.com/question/31243583
#SPJ11
Please help with this question, thank you.
the digits of a positive integer nn are four consecutive integers in decreasing order when read from left to right. what is the sum of the possible remainders when nn is divided by 37?
The sum of the possible remainders 816 when nn is divided by 37.
Positive integers are the numbers we use to count: 1,2,3,4, 1 , 2 , 3 , 4 , and so on. Numbers with a fractional part not equal to zero and negative numbers are excluded from a set of positive integers. The operations of addition, subtraction, multiplication, and division can be done with positive integers.
Adding two positive integers will always result in a positive integer. Adding two negative integers will always result in a negative integer.
The two-digit perfect squares are $16, 25, 36, 49, 64, 81$. We try making a sequence starting with each one:
16 - 64 - 49. This terminates since none of them end in a 9, giving us 1649.2536 - 64 - 49, 3649.4964 - 49, 649.81 - 16 - 64 - 49, 81649.The largest is 81649, so our answer is [816].
The sum of the possible remainders 816 when nn is divided by 37.
To learn more about Positive integer visit :
brainly.com/question/28389451
#SPJ4
5)assume that the current date is february 1, 2003. the linear regression model was applied to a monthly time series based on the last 24 months' sales (from january 2000 through december 2002). the following partial computer output summarizes the results.coefficientestimatet statisticintercept4.32.07slope1.62.98 determine the predicted sales for this month.a)45.9b)42.7c)44.3d)109.1e)113.4
The predicted sales for the current month (February 2003) is approximately 44.3. Thus, the correct option is (c) 44.3.
What is probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
To determine the predicted sales for the current month (February 2003) using the given linear regression model, we need to substitute the values of the intercept and slope coefficients into the equation:
Predicted Sales = Intercept + Slope * Month
Using the provided coefficients:
Intercept = 4.3
Slope = 1.6
Let's calculate the predicted sales for February 2003:
Predicted Sales = 4.3 + 1.6 * (24 + 1)
Predicted Sales = 4.3 + 1.6 * 25
Predicted Sales = 4.3 + 40
Predicted Sales = 44.3
Therefore, the predicted sales for the current month (February 2003) is approximately 44.3. Thus, the correct option is (c) 44.3.
Learn more about probability on:
https://brainly.com/question/13604758
#SPJ4