Answer:
[tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex]
Step-by-step explanation:
The given augmented matrix is
[tex]\left[\left.\begin{matrix}3 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}21\\ 5\\ 5\end{matrix}\right][/tex]
Here, we need to perform the row operation [tex]\dfrac{1}{3}R_1[/tex] and replace [tex]R_1[/tex] in the above matrix.
So, divide each element of [tex]R_1[/tex] in the given matrix and other elements remain same.
[tex]\left[\left.\begin{matrix}\dfrac{3}{3} & \dfrac{0}{3} & \dfrac{0}{3}\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}\dfrac{21}{3}\\ 5\\ 5\end{matrix}\right][/tex]
[tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex]
Therefore, the required matrix is [tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex].
100 POINTS!! ASAP - Plss SHOW WORK
Answer:
h ≈ 174.3 m
Step-by-step explanation:
Step 1: Define variables
∅ = 71°
b = 60 meters (horizontal leg of the triangle)
We are solving for height h (vertical leg of the triangle)
Step 2: Use Trig
tan∅ = opposite over adjacent
tan71° = h/60
Step 3: Evaluate
60tan71° = h
h = 174.253 m
h ≈ 174.3 m
Answer:
the height of the building is 174.3 m
Step-by-step explanation:
see attached image
height of building (h) = x tan Ф
where x = 60m
Ф = 71°
plugin values into the formula
h = 60 tan (71)
h = 174.3 m
therefore
the height of the building is 174.3 m
the value of 7y–2 is 10 more than the value of 2y
Answer:
y=12/5 (in decimal notation y=2.4)
Step-by-step explanation:
the value of 7y-2 = 10 more than 2y
7y-2 = 10+2y
7y-2y = 10+2
5y = 12
y = 12/5
y = 2.4
Find the surface area of a square pyramid if the area of the base is 324 cm^2 and the height is 40 cm.
Answer:
Step-by-step explanation:
Yep!
(-1,-2) (2,7) in slope intercept form
I hope it will help you :)
Evaluate the expression if x= -2 and y= - 4.
3xy + 4
Answer:
28
Step-by-step explanation:
3(-2)(-4)+4=?
(-6)(-4)+4=?
24+4=-28
help meeee Simplify 7(A - 6).
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{7A - 42}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{7(A \: - 6)}[/tex]
Distribute 7 through the parentheses
[tex] \longmapsto{ \sf{7 \: ∗ \: A \: - 7 \: ∗ \: 6}}[/tex]
[tex] \longmapsto{ \sf{7A \: - 42}}[/tex]
Hope I helped!
Best regards ! :D
~TheAnimeGirl
At the end of the day a bakery has9/10 of a pie left over. The employees decide to split the leftovers equally in each takes home 1/10 of the pie how many employees were at the bakery
Answer:
9 people
Step-by-step explanation:
9 pieces of the 10 pieces of pie were left. If all 9 of those are gone and each took 1, there were 9 employees.
A _______________________ is a conclusion after you have observed the patterns.
Answer:
Inductive Reasoning is the process of arriving at a general conclusion based on observations of specific examples. When you try to find the pattern for a list of numbers or visuals, you are using inductive reasoning.
-2x+3-(5-6x) simplify please
Answer:
4x-2
Step-by-step explanation:
First, distribute the minus sign.
-2x+3-(5-6x)
-2x+3+ -1(5)+ -1(-6x)
-2x+3+ (-5) + (6x)
-2x+3-5+6x
Next, combine like terms.
-2x+3-5+6x
(-2x+6x)+(3-5)
4x+(-2)
4x-2
Answer:
4x - 2
Step-by-step explanation:
-2x + 3 - -5 + 6x ( First distribute the parenthess and apply minus-plus rules making it -2x+3-5+6x )
-2x + 6x + 3 - 5 ( Group the equation like this putting like terms together)
4x + 3-5 ( From there add -2x and 6x- like terms to get 4x)
4x -2( After that subtract 3-5 ad the answer is -2)
THE FINAL ANSWER BECOMES 4x - 2
HOPE IT HELPED
what the simplify form for –3(x + 3) + 4x
Answer:
x - 9
Step-by-step explanation:
First, distribute:
-3x - 9 + 4x
Then, simplify (add up x):
x - 9
And we're done ^^
Answer:
-3x -9 +4x
-3x + 4x - 9
x - 9
The answer is x - 9
you multiply -3 by x - 3
And there you go .
Solve for x: 3 < x + 3 < 6
Steps to solve:
3 < x + 3 < 6
~Subtract 3 to everything
0 < x < 3
Best of Luck!
For Mindy's party, she bought 26.4 pounds of meat to make tacos. The night before, she split the meat evenly into 4 containers so it would fit into the refrigerator. How many pounds of meat are in each container?
Answer:
Step-by-step explanation:6x4.3
PLZ HELP IVE BEEN STUCK ON THIS QUESTION
Answer:
A= 16
B=?
Step-by-step explanation: srry about the second one im also confused but i tried my best.
(57 + 4) x 4 - 16 I need this for my math test
Answer:
228
Step-by-step explanation:
(57 + 4) * 4 - 16
61 * 4 - 16( To get 61 solve the ones in brackets first)
244 - 16( Solve the multiplication to get 244 _ 61 * 4=244)
228 ( Then solve the subtraction - 244-16= 228)
SO THE ANSWER IS 228.
YOU JUST NEED TO FOLLOW BODMAS.
HOPE IT HELPED
what is the acceleration of the object in the graph?
-0.8 m/s^2
1.25 m/s^2
-1.25 m/s^2
-0.4 m/s^2
Answer:
-0.8 m/s^2
Step-by-step explanation:
Acceleration is the slope of the velocity curve. Here the velocity decreases from 12 m/s to zero in 15 seconds. So, the slope is ...
(-12 m/s)/(15 s) = -0.8 m/s^2
Select all the statements that are true.
π is irrational because π is a repeating decimal.
7√ is irrational because 7 is not a perfect square.
7.1234… is irrational because it is a nonterminating, nonrepeating decimal.
7√ is rational because 7 is not a perfect square.
π is irrational because π is not a repeating decimal.
The true statements are,
π is irrational because π is a repeating decimal.
7√ is irrational because 7 is not a perfect square.
7.1234… is irrational because it is a nonterminating, nonrepeating decimal.
7√ is rational because 7 is not a perfect square.
What are irrational numbers?Irrational number are real numbers that cannot be expressed as a ratio of two integers.
When an irrational number is expressed in decimal form, it goes on forever without repeating.square roots like √2 ,√3, √5.. are irrational number.Now we have,
→π is irrational because π is a repeating decimal.
Since, the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.
Hence π is irrational.
⇒This statement is true.
→√7 is irrational because 7 is not a perfect square.
Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.
Therefore,√7 is irrational
⇒This statement is true.
→7.1234… is irrational because it is a non terminating, non repeating decimal.
Since,the value of decimal in 7.1234… goes on forever and repeating.
Therefore,7.1234… is irrational.
⇒This statement is true.
→√7 is rational because 7 is not a perfect square.
Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.
Therefore,√7 is irrational
⇒This statement is true.
→π is irrational because π is not a repeating decimal.
π is irrational because the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.
⇒This statement is false.
More about irrational numbers :
https://brainly.com/question/11418160
#SPJ2
what place value are the 8s in 888,000?
Answer:
1,000
10,000
100,000
Step-by-step explanation:
Simplify the radical /1829.
Answer:
Step-by-step explanation:
Where is √95 located on a number line?
Answer:
[See Below]
Step-by-step explanation:
✦ [tex]\sqrt{95} =9.74679434[/tex]
~Hope this helps Mate. If you need anything feel free to message me.
-I have included a number line as well...
A grid that represents 1 whole , what would you shade for 0.4 and 0.04? 100 squares in rows of 10.
!!!!25 POINTS HELP NOW PLEASE!!!! Emily and Hunter tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list. 66°F, 57°F, 61°F, 65°F, 54°F, 62°F, 59°F, 56°F What is the mean absolute deviation of this data set? Enter your answer in the box.
A man’s age today is three years less than four times the age of his oldest daughter,Let a represent the daughters age.Write an equation to match the scenario.
.....................
Value of the expression when n=3
-2n(5+n-8-3n)
Answer:
54
Step-by-step explanation:
Substitute n into the equation:
-2(3)[5+3-8-3(3)]
-6[-9]
+54
The ages of Edna, Ellie, and Elsa are consecutive integers. The sum of their ages is 114.
What are their ages?
x = Edna's age
x + 1 = Ellie's age
x + 2 = Elsa's age
the sum of their ages = 114
Let's set all of their ages equal to 114
x + x + 1 + x + 2 = 114
Combine like terms
3x + 3 = 114
Subtract 3 from both sides
3x = 111
Divide both sides by 3
x = 37
Edna's age = x = 37 years old
Ellie's age = x + 1 = 37 + 1 = 38 years old
Elsa's age = x + 2 = 37 + 2 = 39 years old
Describe the shape of the distribution shown on the dot plot.
The dot plot displays the golf scores from a golf tournament.
132 , 134, 136, 138, 148
(Golf Score Strokes)
A. Uniform
B. Bimodal
C. Left Skewed
D. Right Skewed
E. Symmetrical
F. Bell shaped
Answer:
Then it's probably D. Right-Skewed
what is a dependent variable
Answer:
a variable (often denoted by y ) whose value depends on that of another.
Step-by-step explanation:google
tristan bought an orange that weighs 1 8th of a pound
12a - 6 + 7a - 2a ; a = 4
Need help please
Answer:
62
Step-by-step explanation:
Plug in the value of a in the equation:
12(4) - 6 + 7(4) - 2(4)
Solve 12(4) - 6:
12(4) - 6 = 48 - 6 = 42
Solve 7(4) - 2(4):
7(4) - 2(4) = 28 - 8 = 20
Combine both answers (42+20):
42+20 = 62
Complete answer:
12(4) - 6 + 7(4) - 2(4) = 62
What is 24% of 162.5?
Answer:
I believe 39 is your answer