What series of transformations gets from the pre image of rectangle ABCD to the image of rectangle A''B''C''D"
Answers
Looking at the diagram, A'B'C'D' is a reflection of ABCD across the x axis. We can see that the coordinate of B is (- 2, 6) and that of B' is (- 2 - 6). This conforms with the rule that when a figure is reflected across the x axis, the sign of the y coordinate changes.
For A'B'C'D' to A"B"C"D", we can see that the coordinate of B" is (6, - 2). This conforms with the rule of 90 degrees counterclocwise rotation which states that a coordinate, (x, y) becomes (- y, x). By applying this to B', it becomes (- - 6, - 2) = (6, - 2)
We can see that it corresponds, Therefore, the series of transformation are
ABCD to A'B'C'D' Reflection across the x axis
A'B'C'D' to A"B"C"D" 90 degrees counterclockwise rotation about the origin
Related Questions
Region A has a total of 81,218,576 acres. Estimate the number of acres owned by the government in Region A. Choose the correct estimate below.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
\(Region\ A = 81218576\)
Required
The acres owned by the government
The question is incomplete as the proportion (p) owned by the government is not given.
However, the formula to use is as follows:
\(Govt = p * Region\ A\)
Assume the proportion is 28%, the equation becomes
\(Govt = 28\% * 81218576\)
\(Govt = 22741201.28\)
The acres owned by the government will be 22741201.28
Shinji is considering two different layouts for a new garden. He needs to put a length of fence around whichever layout he chooses. The following diagram shows both layouts on a coordinate grid. Which layout will need less length of fencing?
Answers
Answer:
Layout B
Explanation:
Since Shinji needs to put a length of fence around whichever layout he chooses, we find the perimeter of each of the figures.
Figure A
The vertices are P(-9,8), Q(-4,9), R(-1,-6) and S(-6,-7).
We use the distance formula to find the length of each of the sides.
\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)\(\begin{gathered} PQ=\sqrt[]{(-9-(-4))^2+(8_{}-9_{})^2}=\sqrt[]{(-9+4)^2+(-1)^2} \\ =\sqrt[]{(-5)^2+(-1)^2} \\ =\sqrt[]{26} \end{gathered}\)Similarly:
\(\begin{gathered} PS=\sqrt[]{(-9-(-6))^2+(8_{}-(-7)_{})^2}=\sqrt[]{(-9+6)^2+(8+7)^2} \\ =\sqrt[]{(-3)^2+(15)^2} \\ =\sqrt[]{234} \end{gathered}\)Therefore, the perimeter of Figure A will be:
\(\begin{gathered} =2\sqrt[]{26}+2\sqrt[]{234} \\ =40.79\text{ units} \end{gathered}\)Figure B
• 9-2 = 7 units
,• 8-(-3)=8+3 = 11 units
The dimension of Figure B is 7 units by 11 units.
Therefore, the perimeter of Figure B is:
\(\begin{gathered} =2(7+11) \\ =2\times18 \\ =36\text{ units} \end{gathered}\)The layout in Figure B has a lower perimeter, therefore it will need less fencing.
changing improper fractions to mixed numbers worksheet
Answers
Divide the numerator by the denominator to create a mixed number from an incorrect fraction. The mixed number is created after the division in such a way that the achieved quotient becomes the whole number, the leftover becomes the new numerator, and the denominator stays the same.
A mixed number is one that combines both a proper fraction and a full number. Mixed fractions are another name for mixed numbers.
A fraction that has the numerator higher than or equal to the denominator is said to be inappropriate. "Top-heavy" fractions are sometimes used to describe improper fractions.
Follow these procedures to convert a mixed number to an incorrect fraction:
1. Divide the entire number by the numerator.
2. Increase the numerator by that sum.
3. Add that total to the denominator from the previous step.
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PLEASE HELP!! VERY URGENT!!
Answers
Answer:
b & c
Step-by-step explanation:
Answer:
b, c, d
Step-by-step explanation:
b. 2⁸ = 256
256 x 0.5 = 128
c and d. the problem states that x = # of days. So f(10) or f(64) represents the growth in 10 and 64 days
HEY LOL PLEASE ANSWER THESE. PLEASE IM BEGGING YOU. HELP ME
Answers
Answer:
a. ∆ABC ~ ∆A'B'C'
b. Enlargement
c. Scale factor = 4
Step-by-step explanation:
a. <A corresponds to <A'
<B corresponds to <B'
<C corresponds to <C',
Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'
b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.
c. Scale factor = the ratio of the corresponding sides
Thus:
Scale factor = A'B'/AB = B'C'/BC = A'C'/AC
Scale factor = 24/6 = 48/12 = 60/15 = 4
Scale factor = 4
How many degrees
in 1/20 of a full turn?
Answers
Answer:
18 degerees
Step-by-step explanation: i am 100% sure have a nice day.
It is a straight path that goes on without end in two directions. What is it?
A. line
B. plane
C.ray
D. triangle
Answers
The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.
A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.
On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.
A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.
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I need help with the math question for my math practice
Answers
Water is poured in a container, for n time seconds
Its a linear relationship
y= kx
Now find k
k = 9 ounces/ 6 seconds
also
k= 6 ounces/ 4 seconds
k= 3/2 = 1.5
Then answer is equation
y = 1.5 x
Find the area and the circumference of a circle with Diameter 6 yd . Use the value 3.14 for pi , and do not round your answers .
Answers
Step-by-step explanation:
i hope this helps its kind of hard to see but i tried lol
Can you explain pls
Answers
Answer:
d
Step-by-step explanation:
If you're solving for a, you'll want to isolate it on one side of the equals sign. When doing this, you have to add q to the left side so it equals zero; and whatever you do to the right, you do the left so (3/4a=k+q). After this, you want to use the same logic to get rid of of the 3/4 on the left side. Since the opposite of 3/4 is 4/3, multiply (3/4)x(4/3) instead of (3/4)/(3/4) to make it easier. Since you did that to the left side, you should do it to the right (a=4/3(k+q)). Sorry for my bad handwriting.
help please its due at 12:59
Answers
Answer:
30centimeters
Step-by-step explanation:
1.25x
12*2=24months in 2 years
1.25(24)=30cen
Answer:
a strand of hair will grow 30cm in two years
Step-by-step explanation:
I hope this helps!
PLSSSS HELP ME PLSSSSS
Answers
Answer:
1/27
Step-by-step explanation:
Ok this looks like a huge number but if you break it into smaller numbers its easier to work with
3^5=243 so we can write...
(3^5)^-3/5
Rule of exponents state that you can multiply powers
5*3/5=15/5=-3
Because its negative we would make it over 1
1/3^3
And simplify...
1/3*3*3
1/27
let the ratio of two numbers x+1/2 and y be 1:3 then draw the graph of the equation that shows the ratio of these two numbers.
Answers
Step-by-step explanation:
since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:
(x + 1/2)/y = 1/3
This can be simplified to:
x + 1/2 = y/3
To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:
x + 1/2 = 6/3
x + 1/2 = 2
x = 2 - 1/2
x = 3/2
So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.
(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)
a normal distribution has a mean of µ = 40 with σ = 8. if one score is randomly selected from this distribution, which is the probability that the score will be less than x = 34?
Answers
The probability of randomly selecting a score less than x = 34 from a normal distribution with a mean of µ = 40 and a standard deviation of σ = 8 is approximately 0.2266, or 22.66%.
First, we need to standardize the value of 34 using the formula for standardization:
Z = (x - µ) / σ
Where:
Z is the standard score or z-score,
x is the value of interest,
µ is the mean of the distribution, and
σ is the standard deviation of the distribution.
Plugging in the values, we get:
Z = (34 - 40) / 8 = -0.75
Now that we have the z-score, we can look up the corresponding probability from the standard normal distribution table or use statistical software. The standard normal distribution has a mean of 0 and a standard deviation of 1.
By looking up the z-score of -0.75 in the standard normal distribution table or using software, we find that the corresponding probability is approximately 0.2266. This means that there is a probability of 0.2266, or 22.66%, of randomly selecting a score less than 34 from the given normal distribution.
Alternatively, you can use software or a graphing calculator to directly calculate the probability using the standard normal distribution function. In this case, you would use the formula:
P(Z < -0.75) = Φ(-0.75)
Where Φ represents the cumulative distribution function (CDF) of the standard normal distribution. By evaluating this expression, you would get the same result of approximately 0.2266.
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Suppose that $14,000 is deposited for five years at 5% APR. Calculate the interest earned if interest is compounded semiannually. Round your answer to the nearest cent.
Answers
To calculate the interest earned on a $14,000 deposit for five years at 5% APR compounded semiannually, we will use the compound interest formula: So, the interest earned on a $14,000 deposit for five years at 5% APR compounded semiannually is approximately $3,921.18.
A = P(1 + r/n)^(nt)
Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount ($14,000 in this case)
r = the annual interest rate (decimal) (5% APR = 0.05)
n = the number of times interest is compounded per year (semiannually = 2 times per year)
t = the number of years the money is invested (5 years)
Step 1: Convert the annual interest rate to a decimal.
5% = 0.05
Step 2: Identify the number of times interest is compounded per year.
Semiannually = 2 times per year
Step 3: Plug the values into the compound interest formula.
A = 14000(1 + 0.05/2)^(2*5)
Step 4: Solve the equation.
A = 14000(1 + 0.025)^(10)
A = 14000(1.025)^(10)
A = 14000(1.2800845)
A = 17921.18
Step 5: Calculate the interest earned.
Interest earned = A - P
Interest earned = 17921.18 - 14000
Interest earned = 3921.18
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Express 10500 in terms of its prime factors
Answers
Step-by-step explanation:
\(10500 = 3 \times 5 \times 5 \times 5 \times 7 \times 2 \times 2 \\ \\ 10500 = 2 \times 2 \times 3 \times 5 \times 5 \times 5 \times 7 \\ 10500 = {2}^{2} \times 3 \times {5}^{3} \times 7\)
4 What transformation will the following function undergo? Click all that apply?y =- 2(x + 8)? – 5A) vertical stretch B) vertical compression C) reflection across the x-axis D) translated to the left 8 units E) translated to the right 8 units F) translated up 5 units G) translated down 5 units
Answers
Firstly, the function is shifted 5 units down because of the -5 at the end of the function. OPTION G
It is also translated 8 units to the left because +8 is added to x. OPTION D
The function is also vertically compressed. OPTION B
The graph will be depicted below:
After Mike made deposits of $32.88 and $422.73 and wrote checks for $350.00, $126.13, and $41.09, he had $249.81 in his checking account. How much was in the account before this activity?
Answers
Answer:
$311.42
Step-by-step explanation:
assuming he would have $0.00 dollars left over after the checks. add the checks together then add the deposits together then subtract.
767.03 - 455.61 = 311.42
Ronald’s parents have $35,000 saved and want to save a total of $125,000 for Ronald to go to college. Ronald’s parents began saving when Ronald was born and plan to save until he is 18 years old. Ronald is 5 years old now. About how much money do Ronald’s parents need to save each month?
Answers
Answer:
Money need to save each month = $576.92 each month
Step-by-step explanation:
Given:
Amount of money need to save = $125,000 - $35,000 = $90,000
Number of year remain = 18 - 5 = 13 year
Number of months = 13 x 12 = 156 months
Find:
Money need to save each month
Computation:
Money need to save each month = 90,000 / 156
Money need to save each month = $576.92 each month
This is the last question i have today pls help
Answers
Answer:
k = 4
Step-by-step explanation:
well... i see many mistakes..
first it would have been easier to add 2k to the other side and then add +1 to the other side giving you
20 = 5k then you divide by 5 giving you k =4 :)
for example:
19-2k=3k-1
-3k -3k
19-5k=-1
-19 -19
-5k=-20
k=4
Hope this helps.
Excel's _____________ can be used to construct a frequency distribution for quantitative data.
a) COUNTIF function
b) AVERAGE function
c) FREQUENCEY function
d) none of these answers is correct
e) SUM function
Answers
The correct answer is option d) none of these answers is correct
In Excel, Frequency Distribution is used to show how the data is spread out. This can be accomplished with the help of a Histogram, which provides a clear picture of how the data is distributed. We need Data Analysis Toolpak to create Frequency Distribution in Excel, which we can activate from the Add-Ins option in the Developer menu tab. Once activated, select the Histogram from Data Analysis and the data to be projected.
Using the pivot table to create graphical data is one of the simplest ways to make an excel frequency distribution.
Thus, Excel's pivotTable report function can be used to construct a frequency distribution for quantitative data.
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Find the surface area of the cylinder.
Answers
18.84 in² is surface area of cylinder .
What does surface area mean?
The quantity of space enclosing a three-dimensional shape's exterior is its surface area.Latitudinally, curvedly, and overall, there are three different forms of surface area.A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².Surface area is the amount of space covering the outside of a three-dimensional shape.sa = 2πr² + 2πrh
= 2 × 3.14 × 1 × 1 + 2 × 3.14 × 1 × 2
= 6.28 + 12.56
= 18.84
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quiz 7the following table shows the individual measurements for five samples taken every 15 minutes starting at 10:00 am to be used in monitoring the quality of a process.10:00 am2.01.82.01.810:15 am2.02.02.02.010:30 am1.81.92.12.210:45 am2.12.11.91.911:00 am1.62.02.21.71. how many measurements are in each sample?2. suppose a mean control chart is being used with an upper limit of 2.2 and a lower limit of 1.8. using the data above, what would be the first point to plot on the control chart?
Answers
The first point to plot on the mean control chart would be at 1.9 at control chart with both limits.
1. There are four measurements in each sample, as shown in the table.
2. To plot the first point on the mean control chart, we need to calculate the mean of the first sample. Adding up the four measurements from the 10:00 am sample (2.0 + 1.8 + 2.0 + 1.8) gives a total of 7.6. Dividing by the number of measurements in the sample (4) gives a mean of 1.9. Since the mean is within the control limits of 1.8 and 2.2, the first point on the chart would be plotted at 1.9.
1. To determine how many measurements are in each sample, we simply count the number of measurements provided for each time.
10:00 am: 4 measurements (2.0, 1.8, 2.0, 1.8)
10:15 am: 4 measurements (2.0, 2.0, 2.0, 2.0)
10:30 am: 4 measurements (1.8, 1.9, 2.1, 2.2)
10:45 am: 4 measurements (2.1, 2.1, 1.9, 1.9)
11:00 am: 4 measurements (1.6, 2.0, 2.2, 1.7)
Each sample contains 4 measurements.
2. To plot the first point on a mean control chart, we need to calculate the mean of the first sample (10:00 am).
Mean = (2.0 + 1.8 + 2.0 + 1.8) / 4
Mean = 7.6 / 4
Mean = 1.9
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1. There are 4 measurements in each sample.
2. The first point to plot on the mean control chart would be 1.9, corresponding to the 10:00 am sample.
To determine the number of measurements in each sample, simply count the number of values for each time point.
10:00 am: 4 measurements (2.0, 1.8, 2.0, 1.8)
10:15 am: 4 measurements (2.0, 2.0, 2.0, 2.0)
10:30 am: 4 measurements (1.8, 1.9, 2.1, 2.2)
10:45 am: 4 measurements (2.1, 2.1, 1.9, 1.9)
11:00 am: 4 measurements (1.6, 2.0, 2.2, 1.7)
There are 4 measurements in each sample.
To plot the first point on the mean control chart, calculate the mean of the first sample (10:00 am).
Mean = (2.0 + 1.8 + 2.0 + 1.8) / 4 = 7.6 / 4 = 1.9.
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What property is “If AB=CD than CD=AB”
Answers
The given property “If AB=CD then CD=AB” is known as the symmetric property. Symmetric property is a type of equivalence relation in mathematics that states that if the relation between two elements is in the form of "if A is related to B, then B is related to A," then this type of relation is symmetric.
The symmetric property states that if two objects are related to one another, then this relationship can be reversed. That is, if a=b, then b=a. The symmetric property applies to many different mathematical concepts and structures, including numbers, geometric figures, and functions.For example, if two angles are congruent, then they have the same measure. Using the symmetric property, we can say that if two angles have the same measure, then they are congruent. This property is important in proving theorems and solving problems in geometry, algebra, and other mathematical fields.For such more question on symmetric
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You have a cube with sides numbered 1 through 6. Find the probability of rolling a 3 or 4. Explain each step using complete sentences.
Answers
Answer: 1/3
Step-by-step explanation:
From the question, we are informed that there is a cube with sides numbered 1 through 6.
The probability of rolling a 3 or 4 means that we can get 2 numbers out of possible 6. Therefore, the probability will be:
= 2/6
= 1/3
Evaluate the following function, f(x)= 22 - 2x +1 for the given value:
Answers
Answer:
f(3)=4
Step-by-step explanation:
Brainliest please
In two or more complete sentences, formulate how to use technology to calculate the appropriate regression model for
the given data. you are not required to find the model, just choose the appropriate regression and explain how to use
the technology.
(-5, 11), (-2, 1.7), (-1,-0.2), (0, -1.5), (2,-2.3), (3,-1.8), (5, 1)
upload
Answers
The calculator or spreadsheet will also provide other values such as the correlation coefficient, which can be used to determine the strength of the linear relationship.
To calculate the appropriate regression model for the given data, one can use a variety of software programs such as Excel or R. For example, within Excel, one can use the SLOPE, INTERCEPT, and RSQ functions to determine the slope, intercept, and R-squared coefficient of the regression line. Additionally, one can use the LINEST function to calculate the regression line coefficients, and the TREND function to predict the values of unknown points along the regression line. By inputting the data points into the software, one can calculate the appropriate regression model for the given data.
The calculator or spreadsheet will also provide other values such as the correlation coefficient, which can be used to determine the strength of the linear relationship.
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who plays on ps4???? I do
Answers
Answer:
I play Far Cry, mechanic sim, and Subnautica on ps4
Step-by-step explanation:
Someone help me. PLEASE!
Answers
Answer:
x = 25.7
Step-by-step explanation:
We know the adjacent side to the angle and the hypotenuse on a right triangle
cos theta = adj / hyp
cos 18 = x/27
27 cos 18 =x
25.67852594=x
Rounding to the nearest tenth
x = 25.7
-5 divided by 2 please help
Answers
Answer:
-2.5
Step-by-step explanation:
Answer:
I got -2.5
Step-by-step explanation: