Answer: 90.2
Step-by-step explanation:
Find the 3 ×3 matrix that produces the described composite 2D transformation below, using homogeneous coordinates. Translate by ( −6, 3), and then scale the x-coordinate by 0.3 and the y-coordinate by 1.3.
Answer:
「0.8 0 -2
0 1.2 3
0 0 1 」
Step-by-step explanation:
The [tex]3\times 3[/tex] matrix will be "[tex]\left[\begin{array}{ccc}0.3&0&-1.8\\0&1.3&3.9\\0&0&1\end{array}\right][/tex]".
According to the question,
The [tex]3\times 3[/tex] with homogenous coordinates is:
[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]
Translation from (0, 0) to (a, b) will be:
[tex]T = \left[\begin{array}{ccc}1&0&a\\0&1&b\\0&0&1\end{array}\right][/tex]
Here,
a = -6b = 4Translation by (-5,4)
[tex]T = \left[\begin{array}{ccc}1&0&-6\\0&1&3\\0&0&1\end{array}\right][/tex]
Now,
Let's find the scaling matrix 5.Scale the x-coordinated by "0.3" and y-coordinates by "1.3".i.e.,
[tex]S = \left[\begin{array}{ccc}0.3&0&0\\0&1.3&0\\0&0&1\end{array}\right][/tex]
then,
The [tex]3\times 3[/tex] matrix will be:
→ [tex]A = ST[/tex]
[tex]= \left[\begin{array}{ccc}0.3&0&0\\0&1.3&0\\0&0&1\end{array}\right] \ \left[\begin{array}{ccc}1&0&-6\\0&1&3\\0&0&1\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}0.3&0&-0.3\times 6\\0&1.3&1.3\times 3\\0&0&1\times 1\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}0.3&0&-1.8\\0&1.3&3.9\\0&0&1\end{array}\right][/tex]
Thus the above answer is correct.
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For the function h(x)=4x-6 find the following: a. f(0) b. f(3) c. f(1/4)
Answer:
a.) -6
b.) 6
c.) -5
Step-by-step explanation:
Plug in each value for x
f(0) = 4(0) - 6 = -6
f(3) = 4(3) - 6 = 6
f(1/4) = 4(1/4) - 6 = -5
Answer:
a f)0)=4(0) - 6= -6
b f(3)=4(3) - 6=6
c f(1/4)=4(1/4)_6= -5
fred can complete a work in 6 days and Paul can complete a work in 3 days. if fred and Paul work together, how many days can the work be completed?
Answer:
I think its 3 or 2 days bc if paul can get two works done by the time fred can get one done then the days should be divided.
Step-by-step explanation:
Answer this please thanks
Answer:
The answer is yes, since the graph is an equal line throughout.
Step-by-step explanation:
#2 which table describes a function ??
Answer:
H.
Step-by-step explanation:
A function can only have one y-output per x-input (However, it is ok for one y-output to have multiple x-inputs). The only table that doesn't contain two y-outputs for one x-input is H.
While scuba diving, Alex counted the number of sea turtles and jellyfish he saw. After a few minutes, he counted 4 sea turtles and 12 jellyfish. This ratio remained constant during the remainder of his dive.
Answer:Alex found 3 jellyfish for very sea turtle.
Step-by-step explanation:
Answer:
3 jelly fish
Step-by-step explanation:
PLZZZZZZZZZZZZZZZZZZZZZZ HELP!!!
QUESTION: 5y+(-5)=10
STUDENT WORK: IMAGE DOWN BELOW
1. Explanation of Errors Made
2. Correct Solution (show all work)
Answer:
Step-by-step explanation:
5y + (- 5) = 10
The first mistake made in the image was when they subtracted from an already negative number. You add 5 to both (-5) and 10, which would be 5y = 15, due to the fact that 5 is being multiplied by y, you divide both sides by 5, making 3 the correct answer.
1. 5y + (-5) = 10
2. 5y +5 +5
3. 5y = 15
4. 5y/5 15/5
5. y = 3
in 7 hours, the temperature on the slopes of a mountain ski resort fell from 9° f to 2° f. what was the average change per hour.
Answer:
1 deggre per hour
Step-by-step explanation:
Flying Home for the Holidays
Does the airline you choose affect when you'll arrive at your destination? The dataset Arrival Times contains the difference
between actual and scheduled arrival time from 1000 randomly sampled December flights for two of the major North American
airlines, Delta Air Lines and United Air Lines. A negative difference indicates a flight arrived early. We are interested in testing
whether the average difference between actual and scheduled arrival time is different between the two airlines.
Answer:
i think its they are diffrent scheduleds
Step-by-step explanation:
Can you solve this please
Answer:
( 5 × 9 ) + (5 × 4 )
Step-by-step explanation:
Can a triangle be drawn with side lengths 8.4 inches, 9.2 inches, and 17 inches?
Answer:
yes
Step-by-step explanation:
based on the triangle inequality theorem, add the two smallest numbers together (8.4,9.2) to get 17.6 which is bigger than 17
Cuales son los gráficos que nos permiten analizar el movimiento rectilíneo
Step-by-step explanation:
Un modo de describir y estudiar los movimientos es mediante gráficas que representan distancia-tiempo (distancia en función del tiempo), velocidad-tiempo (velocidad en función del tiempo) y aceleración-tiempo (aceleración en función del tiempo).
The science center has 200 people in attendance on Monday. The center expects Saturday's attendance to be 140
percent of Monday's attendance. Natasha is trying to figure put how many people will be in attendance. Her work is
shown below.
part 140
whole 100
140-2 ?
100x2200
140-2-70
70 people will be in attendance.
Answer:
Natasha should have multiplied 140 by 2
Answer:
A
Step-by-step explanation:
what is 4(x-1)^2+2=10
Answer:
Answer below
Step-by-step explanation:
4(x−1)
2
=10−2
4(x−1)
2
=8
(x−1)
2
=
4
8
(x−1)
2
=2
x −1=±√
2
x−1=√
2
x-1=-\sqrt{2}x−1=−√
2
x=√
2
+1
x=−√
2
+1
x=√
2
+1,−√
2
+1
Find the slope of the following line. y=−5x+6
Answer:
5 or [tex]\frac{5}{1}[/tex]
Step-by-step explanation:
In the formula y = mx + b, m stands for slope and b stands for y- intercept!
1) Which statement below is equivalent to - 15 - 12? Ex choice. a) - 15 + 12=-3 b) -15 +-12=-27 c) 15 - 12=3 d) 15--12=-27 ANSWER: EXPLAIN:
Estimate 511 x 637 by first rounding each number so that it only has 1 nonzero digit.
Answer:
Step-by-step explanation:
511 * 637 = 500 * 600
= 300000
511. Here ten's place is 1 and its <= 5. So, it is 500
637. Here ten's place is 3 and its <= 5. So, it is 600
Answer:
300,000
Step-by-step explanation:
Rounding so that a number only has 1 nonzero digit means that you should round to the nearest hundred. Remember when rounding look to the digit to the right of where you are rounding to, if that is 4 or less round down and if it is 5 or greater round up. So to round 511 look at the tens place, since it is less than 4 it rounds to 500. To round 637 look at the tens place, since it is also less than 4 round down to 600. Then to multiply 500 x 600 just multiply the first digits, 5 x 6=30, then add the zeros. In total there were 4 zeros in the estimated equation so the final answer would be 300 plus four zeros.
So 500 x 600=300,000
What are there fractions equivalent to 6/24
Answer: Remember how to find equivalent fractions? Here are some:
1/4, 2/8, 3/12, 4/16, 5/20, 25/100, 90/360, 1800/7200
To find all of these, there's a simple method- multiply the denominator and the numerator by the same number. As long as you make sure to use the same number for both the top AND the bottom, you'll always have an equivalent fraction. For example,
1 1800 1800
--- x -------------- = ---------
4 1800 7200
This works because, as you may have noticed, any muliplier you use is in the form of n over n, which, of course, is equivalent to one whole or 100%. Make sense?
The three fractions equivalent to 6/24 are 3/12, 1/4, and 2/8.
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
The given fraction is 6/24.
Simplify the fraction:
6/24
= 3/12
= 1/4
Divide and multiply the above fraction by 2:
2/8
Hence, the three fractions equivalent to 6/24 are 3/12, 1/4, and 2/8.
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A corporation is having a shareholders meeting to vote on a new issue. Not all shareholders are able to attend. In fact, most usually do not. The ownership of the corporation is represented by 2,351,00 shares of stock owned by 111,273 shareholders. Must all of the shareholders own more than one share of stock? If 3,411 shareholders attend the meeting, what percent of the shareholders attended the meeting? Round to the nearest percent. If the shareholders who do not attend own a combined 1.8 million shares of the corporation and the shareholders are voting on a particular issue, these shareholders can vote by proxy - an absentee ballot. If 100,000 of the shareholders vote by proxy, what percent of the shareholders did not vote at all?? Round to the nearest percent.
Answer:
a) The percentage of the shareholders who attended the meeting is 3%.
b) The percentage of the shareholders who did not vote at all is 7%.
Step-by-step explanation:
a) Data and Calculations:
Outstanding shares = 2,351,000
Number of shareholders = 111,273
Number of shareholders who attended the meeting = 3,411
The percentage of the shareholders who attended the meeting = 3,411/111,273 * 100
= 3.065
= 3%
Absent shareholders = 107,862 (111,273 - 3,411) and own 1.8 million shares
Proxy voters = 100,000
Non-voting shareholders 7,862
Therefore, the percentage of shareholders who did not vote at all
= 7,862/111,273*100
= 7.0655
= 7%
Volume of 120 grams divided by 480cm3
Answer:
= 0.25 g/cm3
Step-by-step explanation:
this is called density the grams per volume.
density = mass
volume
= 120g
480cm3
= 0.25 g/cm3
Solve this inequality for x 81-1 1/5x < 55
Answer:
81 - 1 1/5 x < 55
Step-by-step explanation:
-1 1/5x < -26
-6/5x< -26
x < -26 * -5/6
x < 65/3
Answer:
the answer is C it was on my mid-term
Step-by-step explanation:
Joe has 6 marbles. Joe and Kay have 11 marbles. Kay and Sara have 7 marbles. How many marbles does Sara have?
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Joe = 6
J + K = 11
Kay = 5
K + S = 7
Sara = 2
Solve the system of equations: x + y + z = 5; x - y + 3z = 9; and z = 6.
PLS PLS HELP ME
what function best models the data and what wil be the chicken breast after 50 miutes
Answer:
Students use linear, quadratic, and exponential functions to model data from tables and choose the regression
most appropriate to a given context. They use the correlation coefficient to determine the accuracy of a
regression model and then interpret the function in context. They then make predictions based on their model
and use an appropriate level of precision for reporting results and solutions.
Lesson 7 focuses on data sets that cannot be modeled accurately, and students are asked
to articulate why. Students use skills learned in Lesson 14 of Module 2 (where they used
calculators to write linear regressions) and apply similar techniques for data sets that are
better suited to modeling with quadratic or exponential regressions. Students use that
same technique to find linear regressions and use their graphing calculators to examine
the correlation coefficient and to find quadratic and exponential regressions. They
compare correlation coefficients to determine which model is best for the data.
Ultimately, students choose the regression model (linear, quadratic, or exponential) most
appropriate to a given data set and then write, verify, and interpret these models in
context. Students need a graphing calculator to complete this lesson. Graphing calculator
instructions are provided, but steps may vary slightly depending on the model of the
graphing calculator.
Refer to the following full modeling cycle during this lesson (Found on page 61 of the CCLS
and page 72 of the CCSSM).
Scaffolding:
Students are more
engaged when working
with relevant and real data
that interests them.
Websites that provide
data sets are a good
resource for classroom
investigations.
This lesson might need to
be divided into two days if
students need more time
to master the technology.
Step-by-step explanation:
What fraction does Point A on the number line below represent?
3/8
-3/8
6/8
-6/8
Anybody know how to solve for Y
Answer: y = 108
Step-by-step explanation:
A car travels 20 miles in half an hour at constant speed is
What is R ^-3 x R ^5
Answer:
that's good and I'm good
Consider generating length-7 strings of lowercase letters. How many strings are there that either begin with 2 consonants or end with 3 vowels
Answer:
5259544316
Step-by-step explanation:
Given that:
Length of string = 7
Either begins with 2 consonants or ends with 2 vowels :
Either or :
A U B = A + B - (AnB)
Number of vowels in alphabet = 5
Number of consonants = 21
2 consonants at beginning :
First 2 consonants, then the rest could be any:
21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816
3 vowels at the end :
First 4 letters could be any alphabet ; last 3 should be vowels.:
26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000
2 consonants at beginning and 3 vowels at the end :
21 * 21 * 26 *26 *5* 5 * 5 = 37264500
Hence,
2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end
(5239686816 + 57122000) - 37264500
= 5259544316
Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316
the first and last term arithmetic sequence are 9 and 165 respectively.if the sum of all the terms of the arithmetic sequence is 3480,find the number of terms and the common difference of this arithmetic sequence
Answer:
40 termsStep-by-step explanation:
Sum of n terms formula:
Sn = 1/2n(a1 + an)Solving for n
3480 = 1/2n(9 + 165)3480 = 87nn = 3480/87n = 40Answer:
Required Answer:-first term =a=9Last term =l=165 Sn=3480As we know that in a AP
[tex]{:}\longrightarrow[/tex][tex]\sf S_n={\dfrac {1}{2}}(a+l)n[/tex]
Substitute the values[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {1}{2}} (9+165)n[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {1}{2}}(174)n[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {174}{2}}n [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3480=87n [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf n={\dfrac {3480}{87}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf n=40[/tex]
[tex]\therefore[/tex]Number of terms=40.