Answers
Hope it helps
Answer:
option a is correct answer
Related Questions
Assume that T is a linear transformation. Find the standard matrix of T. T: R^3 right arrow R^2 , T(e 1) =(1,2), and T(e2 ) =( -4,6), and T(e 3 ) =(2, -6), where e 1, e2 , and e 3 are the columns of the 3 x 3 identity matrix. A= (Type an integer or decimal for each matrix element.)
Answers
Answer:
[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]T:R^3->R^2[/tex]
[tex]T(e_1) = (1,2)[/tex]
[tex]T(e_2) = (-4,6)[/tex]
[tex]T(e_3) = (2,-6)[/tex]
Required
Find the standard matrix
The standard matrix (A) is given by
[tex]Ax = T(x)[/tex]
Where
[tex]T(x) = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right][/tex]
[tex]Ax = T(x)[/tex] becomes
[tex]Ax = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right][/tex]
The x on both sides cancel out; and, we're left with:
[tex]A = [T(e_1)\ T(e_2)\ T(e_3)][/tex]
Recall that:
[tex]T(e_1) = (1,2)[/tex]
[tex]T(e_2) = (-4,6)[/tex]
[tex]T(e_3) = (2,-6)[/tex]
In matrix:
[tex](a,b)[/tex] is represented as: [tex]\left[\begin{array}{c}a\\b\end{array}\right][/tex]
So:
[tex]T(e_1) = (1,2) = \left[\begin{array}{c}1\\2\end{array}\right][/tex]
[tex]T(e_2) = (-4,6)=\left[\begin{array}{c}-4\\6\end{array}\right][/tex]
[tex]T(e_3) = (2,-6)=\left[\begin{array}{c}2\\-6\end{array}\right][/tex]
Substitute the above expressions in [tex]A = [T(e_1)\ T(e_2)\ T(e_3)][/tex]
[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]
Hence, the standard of the matrix A is:
[tex]A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right][/tex]
Sheila can ride her bicycle 6000 meters in 15 minutes. How far can she ride her bicycle in 2 minutes.
Answers
Answer: about 500
Step-by-step explanation:
Answer:
Step-by-step explanation:
800 meters
5. The Hudson family went out to dinner. The meal cost $57.50. If they also left a 15% tip, approximately how much did the entire dinner cost?
Answers
When a gas is kept at a constant temperature and pressure on it changes, its volume changes according to the following formula, known as Boyle’s law
where P1 and V1 are the pressure (in atm) and the volume (in litres) at the beginning, and P2 and V2 are the pressure and the volume at the end. Find the final pressure P2 if V1 = 1.5 litres, P1 = 4.5 atm and V2 = 3.5 litres. Round to the nearest tenth of a atm.
Answers
Answer: Approximately 1.9 atm
============================================
Work Shown:
[tex]P_1*V_1 = P_2*V_2 \ \text{ ... Boyle's Law}\\\\4.5*1.5 = P_2*3.5\\\\6.75 = P_2*3.5\\\\P_2*3.5 = 6.75\\\\P_2 = \frac{6.75}{3.5}\\\\P_2 \approx 1.92857142857142\\\\P_2 \approx 1.9\\\\[/tex]
If the volume is 3.5 liters, then the pressure is approximately 1.9 atm.
Note the increase in volume leads to the reduction of pressure, and vice versa. The two variables have an inverse relationship.
-----------
As a check,
[tex]P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.9*3.5\\\\6.75 \approx 6.65\\\\[/tex]
We don't get the exact thing on both sides, but the two sides are close enough. We have rounding error due to P2 being not exact.
A more accurate check could be
[tex]P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.92857*3.5\\\\6.75 \approx 6.749995\\\\[/tex]
which has the two sides much closer to one another. This helps us verify the answer.
What is the solution to the following system of equations?
2x + 4y = 0
y = -1/2x
A. The ordered pair (0,0) is the solution.
B. The ordered pair (-1/2,0) is the solution.
C. There are an infinite number of solutions.
D. There is no solution.
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Convert Repeating Decimal to Fraction
Convert the repeating decimal to a rational number.
ITEM BANK: Move to Bottom
4936/990
530/900
4311/9900
8099/990
674/990
0.4354 drag and din answer har
0.58 drag and drop wether
0.680 - drag and drop shower bord
4.985 - drag and drop antworten
8.180ding and dan wel
Answers
Step-by-step explanation:
0.345454...... = 4311/9900
0.5888..... = 530/900
0.68080..... = 674/990
4.98585..... = 4936/990
8.18080...... = 8099/990
A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use the metric table to help answer the question. Metric Table kilo- hecto- deka- unit deci- centi- milli- 1,000 100 10 1 0.1 0.01 0.001 0.6748 centigrams 6.748 centigrams 67,480 centigrams 674,800 centigrams
Answers
Answer:
674,800
Step-by-step explanation:
Answer:
674,800
Step-by-step explanation:
I did the unit test on edge 2021
How much interest is earned in 2 years on an investment of $2,000? The interest rate
is 3%
A. 1200
B. $60
C. $600
D. $120
Please help I will give brainlist
Answers
Answer:
D. $120
Explanation:
P= principal amount, which is $2000 in this case
R= interest rate. In this case, it's 3% per year (or 0.03 in decimal form)
T= time, which in this case is 2.
To find the simple interest, we multiply 2000 × 0.03 × 2 to get 120.
I hope this helped! :)
Answer: 120 is the right answer i think im not sure
Step-by-step explanation:
Robert has 26 coins that are all nickels and dimes. The value of the coins is $1.85. How many of each does he have?
Answers
Answer:
he has 11 dimes and 15 nickels
Step-by-step explanation:
i kept going down reducing the amount of dimes and adding to the amount of nickels and found that 11 dimes is $1.10 and 15 nickels is $0.75
{(-3.7).(-5, -8), (-6, -1). (-9, -1), (0, -3) }
Domain:
Range
Function?
State if it is a function or not
Answers
Answer:
The domain is the set of all the values of x, so it would be -3, -5, -6, -9, 0. The range would be every set of y, so it would be 7, -8, -1, -3. Finally, this relation is indeed a function.
Domain: -3, -5, -6, -9, 0
Range: 7, -8, -1, -3
Is it a function? Yes
Cokes are on sale 4 for $14. What is the unit rate?
Answers
Answer:3.5
Step-by-step explanation:
All Uu have to do is JuSs divide .
A car travels 55 miles per hour for two hours. Complete the table. HELP 20 points!!!!!!!!!
Answers
Answer: If a car travels 55 miles per hour for 2 hours it will be 110 hour I guess
Step-by-step explanation: I think you want help here um I’m in 7th grade I don’t think I like this before but I can try to answer it, Is this h-help you
ewkrfmwekosdfgseargfaerfgaerfmwoegm :
Answers
Answer:
Ok thats really cool thanks :)
Please answer this is the third time I will give brainliest
Find x and y, there is no given info, and the line that is 8 units long is not a midsegment, but it is parallel to the line that is ten units long
Answers
Answer:
y = 1.75
x = 1.25
Step-by-step explanation:
Since the triangles have equal angles, you can use ratios to solve for x and y.
For y:
[tex]\frac{8}{10} =\frac{7}{a} \\8a=70\\a=8.75[/tex]
Subtract 7 from a to find y.
y = 8.75 - 7
y = 1.75
For x:
[tex]\frac{8}{10} =\frac{5}{b} \\8b=50\\b=6.25[/tex]
Subtract 5 from b to find x.
x = 6.25 - 5
x = 1.25
Use the GCF and the Distributive Property to find the sum of 12 and 36.
Answers
Answer:
12(1+3)
Step-by-step explanation:
gcf: 12
12/12=1
36/12=3
The table below hows Craig’s incomplete net worth statement,Which of the following show the correct amounts for Total Assets and Total Liabilities?
Answers
Answer:
Total assets: 110,000
Total liabilities: 70,000
Step-by-step explanation:
need this done quick pls
Answers
Answer:
50 degrees
Step-by-step explanation:
40+50=130
130-180
50
Answer:
50
I have not done this in years!
can u pls help me with this question
Answers
Answer:
If Clara gets 4 people in 10 phone calls, then she will obviously get 16 people, because there are 40 calls, with 4 people each 10 calls. Meanwhile, with Toby getting 3:8, he will get 15 people in total. 3:8 is equal to 15:40. Clara will have more people in 40 phone calls
Step-by-step explanation:
What is the solution to the equation represented by the model below?
x = negative 14
x = negative 2
x = 2
x = 14
Answers
Answer:
2x + 4
To model 2x+4, you need :
2 positive x-tiles to represent 2x.
4 positive unit tiles to represent 4.
3x+(-1)
To model 3x+(-1), you need :
3 positive x-tiles to represent 3x.
1 negative unit tile to represent (-1).
if its wrong sorry u can report me
a loan of 38000 is made of 3% interest, compounded annualy. after how many years will the amount due reach 49000 or more
Answers
Answer:
the time period is 9 years
Step-by-step explanation:
The computation of the number of years is as follows:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
$49,000 = $38,000 × (1 + 0.03)^number of years
$49,000 ÷ $38,000 = 1.03^number of years
tlog(1.03) = log($49 ÷ $38)
Now apply the log formula in calculator or in excel
t = log(49 ÷ 38) / log(1.03)
= 8.6
= 9 years
Hence, the time period is 9 years
HELP PLEASE I REALLY NEED IT
Answers
Answer:
1.5
Step-by-step explanation:
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $8. On Saturday, Rob earned $28 babysitting. How much money did he save?
Answers
Answer:
$16
Step-by-step explanation:
If he saves $8 for every $14, he earned $28, which is twice the $14, he will save twice the $8 or $16.
I NEED HELP WHAT IS THE ANSWER FOR PART (A) AND PART (B) I’ll cash app or Venmo if I give me answers by today please help.
Answers
Answer:
9/2 is the slope of the graphed line.
The second statement is true.
Step-by-step explanation:
Determine the intercepts of the line. 3x + 12
Answers
Answer:
Step-by-step explanation:
y=−3x+12
when x=0 then y=12 , the y intercept is (0,12)
when y=0 then -3x+12=0, -3x=-12, x=12/3=4
x intercept =(4,0)
What is the value of the expression below? 3x + (12 - 3) - x, when x = 2.5 A. 13 B. 14 C. 15 D. 19
Answers
Answer:
The answer to this question is: (B)
Which is "14"
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
HOPE this helped if so PLEASE leave a "Rating" and a "LIke" and PLEASE mark me brainliest if I have the best answer! THANKS! :))))
Can anyone solve this for me? If so please type the steps!
Answers
Answer:
It is a relflection.This is a reflection horizontally bc they are not dialatedor rotated. please vote brainliest
Step-by-step explanation:
Answer:
I don't get it the two triangles look the same
Step-by-step explanation:
HELP PLEASE THIS IS DUE TODAY 50 POINTS
Answers
Answer:
the answer is x over -2 × 14
Answer:-2,2 -7,7 -14,14 0,0
Step-by-step explanation:im not really good at this but i tried and i oped it worked
An artifact had 16 grams of carbon-14 present. The decay model A=16e^-0.000121t describes the amount of carbon-14 present after t years. Use the model to determine how many grams of carbon-14 will be present in 8065 years
Answers
Answer:
129024.387
Step-by-step explanation:
16e^(-0.000121)*8065 = 129024.387
Suppose that the test score of a student taking the final of a probability course is a random variable with mean 76.
Required:
a. Give an upper bound for the probability that a student's test score will exceed 86. Suppose, in addition, that the professor knows that the variance of a student’s test score is equal to 25.
(b) What can be said about the probability that a student will score between 65 and 85?
c. How many students would have to take the examination to ensure, with probability at least .9, that the class average would be within 5 of 75? Do not use the central limit theorem.
Answers
Answer:
a. 0.8837
b. 0.6914
c. 10 student
Step-by-step explanation:
a. using markov's inequality; P(u >= X)<= E(u) / X
mean u = 76
X, test score = 86
= 76 / 86 = 0.8837
b. variance v = 25
The test is between 65 and 85 P(65 <= X <= 85);
P(|65 - X|<= |X - u| <= |85 - X|) = P(65 - 76 <= |X - u| <= 85 -76)
= P(-11 <= |X - u| <= 9)
= P(|X - u| <= 9)
using the chebyshev's inequality;
P(|X - u| <= 9) = 1 - variance / (standard deviation of individual test score)^2
= 1 - 25/ 9^2
= 1 - 25/81 = 1 - 0.3086 = 0.6914
c. P(|X - 76| <= 5) = 0.9
still using chebyshev's inequality;
= 1 - variance / lower limit^2 (E)
where E = 1 - 0.9 = 0.1
lower limit = 5
= 1 - 25/ 5^2 (0.1) = 10
Factor the polynomial expression 16y4 − 256x12.
Answers
Step-by-step explanation:
Using Difference of Squares,
16y⁴ - 256x¹²
= 16(y⁴ - 16x¹²)
= 16(y² + 4x⁶)(y² - 4x⁶)
= 16(y² + 4x⁶)(y + 2x³)(y - 2x³).
Step-by-step explanation:
16y4-256×12=16.(y4-16×12)