The 3×3 Matrix is [tex]B=\left[\begin{array}{ccc}1.2&1.4&3.1\\2.2&1.1&5.6\\3.7&4.2&6.7\end{array}\right][/tex]
What is Matrix?
In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object
What is 3×3 Matrix?A 3 x 3 matrix is calculated for a matrix having 3 rows and 3 columns
Given,
B=
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
Then the 3×3 matrix is
[tex]B=\left[\begin{array}{ccc}1.2&1.4&3.1\\2.2&1.1&5.6\\3.7&4.2&6.7\end{array}\right][/tex]
Hence, The 3×3 Matrix is [tex]B=\left[\begin{array}{ccc}1.2&1.4&3.1\\2.2&1.1&5.6\\3.7&4.2&6.7\end{array}\right][/tex]
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Answer:
Step-by-step explanation:
c11 =
⇒ 56.1
c12 =
⇒ 12.1
c13 =
⇒ 236
Tanaka Madison has part time job. $15.32 per hour. She works 20 hours each week. What is her straight time pay for a week
Answer:
$306.40
Step-by-step explanation:
Multiply 15.32 by 20
Shelley compared the number of oak trees to the number of maple trees as part of a study about hardwood trees in a woodlot. She counted 9 maple trees to every 5 oak trees. Later in the year there was a bug problem, and many trees died. New trees were planted to make sure there were the same number of trees as before the bug problem. The new ratio of the number of maple trees to the number of oak trees is 3:11. After planting new trees, there were 132 oak trees. How many more maple trees were in the woodlot before the bug problem than after the bug problem?
Answer:
72
Step-by-step explanation:
Initial ratio of maple trees to oak trees
9:5New ratio of maple trees to oak trees
3:11Number of oak trees = 132
Number of maple trees
132*3/11 = 36Total number of trees
132+36 = 168Initial number of maple trees
168*9/14 = 108The difference in the number of maple trees:
108 - 36 = 72Answer:
72 more trees before the bug problem
Step-by-step explanation:
The ratio was 9:5 before the bug problem and 3:11 after.
After the bug problem there were 132 oak trees,
m : 132 = 3 : 11
Then we know
m/132 = 3/11
Multiplying both sides by 132 cancels on the left
132 × (m/132) = (3/11) × 132
m = (3/11) × 132
Then solving for m
m = 132 × (3/11)
m = 36 This gives us the number of trees after the bug problem.
This would give us 168 trees in total, 132 oak, and 36 maple.
Since there is the same number of trees as before we calculate the number of maple and oak previously.
If Shelley counted 9 maple for every 5 oak we know that 9 out of 14 trees are maple and 5 out of 14 trees are oak.
9/14 = .6428 which is the percentage of maple trees before the bug problem.
We multiply .6428 x 168 (the total number of trees) and we get 108.
if there are 108 maple trees then 168-108 = 60 oak trees.
Further proof:
9:5 or 9/5 = 1.8 108/60 = 1.8
108 maple trees and 60 oak before the bug problem.
So 108 (maple before bug problem) and 36 maple trees after:
108 - 36 = 72 more trees before the bug problem
One number is 10 more than twice another. Their sum is 1. Find the numbers
Answer:
-3 and 4
Step-by-step explanation:
We can start naming the first number x
Hence, the second number would be 10+2x
Set up an equation.
10+2x+x=1
Combine like terms
10+3x=1
Subtract 10 from both sides
3x=-9
Divide both sides by 3.
x=-3
The first number is he first is -3.
Plug that into the expression for the second number.
10+2x
10+2(-3)
10-6
4
The two numbers are -3 and 4.
Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the convergence or divergence of the series using other methods. (If you need to use or –, enter INFINITY or –INFINITY, respectively.)
[infinity]summation 7 n!/n = 1
Answer:
Given series is divergent
Step-by-step explanation:
Step(i):-
By using Ratio test
[tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = l[/tex]
a) [tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = l[/tex]
'l' is finite then the given ∑aₙ is convergent
b) [tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = l[/tex]
Here 'l' is infinite then the ∑aₙ is divergent
Step(ii):-
Given aₙ = [tex]\frac{n!}{n}[/tex]
[tex]a_{n+1} = \frac{(n+1)!}{n+1}[/tex]
[tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = \lim_{n \to \infty} |\frac{\frac{(n+1)!}{n+1} }{\frac{n!}{n} } |[/tex]
we know that n ! = n (n-1) (n-2) ......3.2.1
and also (n+1) ! = (n+1)n!
[tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = \lim_{n \to \infty} |\frac{\frac{n+1)n!}{n+1} }{\frac{n!}{n} } |[/tex]
[tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = \lim_{n \to \infty} n[/tex]
= ∞
Given sum of the series is divergent
Identify the opposite of each integer: a. 4 b. −2 c. +125 d. 1,348 e. −27 f. −398
a. −4
b. 2
c. −125
d. −1,348
e. 27
f. 398
What is the value of x in the equation 4(2x + 14) = 0? (1 point) Select one: a. 9 b. 7 c. −7 d. −9
6(4T-3)+6(4-3T) help pls!!!
Answer:
i hope this answer will help
Step-by-step explanation:
6(4T-3)+6(4-3T) =0
24T-18+24-18T =0
6T+6=0
6T=-6
T=-6/6
T=-1
1 +1 +1+1+1+46×7×7×7×75×8×56+4+6+8
Answer:
11,524,869
Step-by-step explanation:
Answer:
530140823Step-by-step explanation:
[tex]1+1+1+1+1+46\times \:7\times \:7\times \:7\times \:75\times \:8\times \:56+4+6+8\\\\\mathrm{Multiply\:the\:numbers:}\:46\times \:7\times \:7\times \:7\times \\\:75\times \:8\times \:56\\\\\\=530140800\\\\=1+1+1+1+1+530140800+4+6+8\\\mathrm{Add\:the\:numbers:}\:1+1+1+1+1+530140800+4+6+8\\=530140823[/tex]
What type of line is the graph of 4x + y = −3? (1 point) a Vertical b Horizontal c Rising d Falling
Answer:
Falling
Step-by-step explanation:
You have to convert it into slope-intercept form(y=mx+b) to find out. TO do this, you subtract 4x from the left, so it would be y=-4x-3. -4x is the slope, and since it is negative, it is falling.
Answer:
rising positive slope
Step-by-step explanation:
In a race, there are 20 runners. Trophies for the race are awarded to the runners
finishing in first through fourth place.
In how many ways can first through fourth place by determined?
Answer:
116,280 ways
Step-by-step explanation:
Because your finish place is mutually exclusive (if you come in first you cant come in second, if you come in second you cant come in third, etc) you have to decrease the amount of runners for each place.
20 runners can get first
19 for second
18 for third
17 for fourth.
To find out the total amount of possibilities you multiply each amount. 20 x 19 x 18 x 17 = 116,280.
I hope this helps!
-TheBusinessMan
Point A (2, 6) has been translated 1 left and 3 up followed by a 180 degree rotation.
What is the image of Point A?
Answer:
[tex]A(-1,-8)[/tex]
Step-by-step explanation:
Given
Point: A(2,6)
Translation: 1 left and 3 up
Rotation: 180 degrees
Required
Image of Point A
Taking the exercise one after the other
Represent the function as: (x,y)
Such that
[tex]A(x,y) = A(2,6)[/tex]
1 unit left translation means the function becomes (x - 1, y)
2 unit up translation means the function becomes (x - 1, y + 2)
Applying the above transformation
[tex]A(2,6) -> A(2-1,6+2)[/tex]
[tex]A(2,6) -> A(1,8)[/tex]
At this stage, the coordinate becomes
[tex]A(1,8)[/tex]
When a function (x,y) is rotated by 180, the new function becomes (-x,-y)
So;
The further transformation of A is
[tex]A(1,8) -> A(-1,-8)[/tex]
Hence, the new image of A is
[tex]A(-1,-8)[/tex]
Answer:
its -1,-9
Step-by-step explanation:
carli bought a new pair of jean for $60 if the tax if the tax rate is 8.25% how much will carli have to pay for the jeans including tax
Answer:
2.5075
Step-by-step explanation:
If the sales tax rate is 7.375% in New York State then how much sales tax would you pay in Albany for a $34 pair of pants
Sales Tax. If the sales tax rate is 7.375% in New York State, then how much sales tax would you pay in Albany for a $34 pair of pants? 34.00 x 0.07375 = 2.5075.
A drone carrying fireworks is launched from a platform above a lake and follows a parabolic path. It will set off the fireworks at its highest point. The drone’s height above the surface of the lake is given by the function h(t) = -16t2 + 64t + 80, where h represents height in feet and t represents time in minutes. a. How high is the platform? b. From what height will the fireworks be released? c. When does the drone land?
Answer: Answer is in the steps
Step-by-step explanation:
using the function h(t) = -16t^2 + 64t + 80 and H is height in feet t is the time in minutes we can evaluate how high the platform is by solving for the y intercept.
h(t) = -16t^2 + 64t + 80 the y intercept is when h(t) is h(0) so when it is h of zero put zero into the function and solve the function
A) -16(o)^2 + 64(0) + 80
0 -0 + 80
h(0) = 80
Which means the platform is 80 feet high.
B) In the reading it says that it will set the firework at its highest point and in other words its highest point is its vertex. So solve for the vertex .
h(t) = -16t^2 +64t + 80 To solve for the vertex, use the formula x= -b/2a to find the x coordinate of the vertex.
so the value of b is 64 and a is -16 .
x = -64 / -32
x = 2
So the x coordinate of the vertex is 2 so input it and solve for the y coordinate of the vertex.
h(t) = y = -16(2)^2 + 64t+80
y= -16(4) + 64(2)+ 80
y= -64 + 128 + 80
y = 144
So the y coordinate is 144. which means the vertex is (2,144) and also means that the fireworks will be released at a 144 feet.
C) The drone will land on the ground when they is not height which means when y is equal to zero or h(t) is zero.
-16t^2 +64t + 80 = 0 so solve for t using the quadratic formula.
The quadratic formula says that x= -b ± [tex]\sqrt{b^2 -4ac} /2a[/tex]
a = -16 b= 64 and c= 80
x = -64 + [tex]\sqrt{9216}/ -32[/tex]
x= -64 ± 96 /-32
x= -1 or x = 5
Which means the drone land on the ground in 5 minutes. It can't be -1 because a negative number can't represent time.
In 2 1/4 hours, Nick wrote 36 text messages what’s was his unit rate during the time?
A.14 messages per hour
B.16 messages per hour
C.34 messages per hour
D.81 messages per hour
Answer:
A. 224 messages per hour
B. 256 messages per hour
C. 544 messages per hour
D. 1296 messages per hour
Step-by-step explanation:
First you need to figure out how many messages Nick wrote in 1 hour
36 messages ÷ 2.25
2.25 hours ÷ 2.25
=
16 messages
1 hour
=
16 messages
hour
Then you multiply how ever many hours by 16 because Nick can write 16 messages in 1 hour.
A student currently is averaging 65.0% of the points in lecture (worth 60% of total grade) and has a 75.0% in lab (worth 40% of total grade). What is her total course % at this time?
Answer:
69
Step-by-step explanation:
If she is averaging 65% of the worth of lectures.
the lectures she had was supposedly rated out of 60. Therefore, the 65% will be 65% of 60(total grade)
0.65 * 60 = 39
On the second part, if we apply the same method, we have
0.75 * 40 = 30
All we have to do on add both together
39 + 30 = 69.
therefore, get total grade in the course is 69
Total grade in the course is 69%
Percentage :Since, the averaging 65% of the points in lecture is worth to 60% of total grade.
It means that, the 65% will be equivalent to,
[tex]=\frac{60*65}{100}=3900/100=39[/tex] percent of total grade.
And 75% in lab is worth 40% of total grade.
[tex]=\frac{75*40}{100}=30[/tex] percent of total grade.
We have to add both together
[tex]39 + 30 = 69.[/tex]
Thus, total grade in the course is 69%
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8.
Suppose you deposit $300 in a savings account that pays an annual rate of 6%. How much
interest would you earn in 3 years?
Answer:
i will try to see
Step-by-step explanation:
i will try to solve if i can answeer it
Eugene's grandmother is teaching him how to make her salsa recipe. Each batch of salsa requires 1 4 of a cup of red onions. If they have 1 1 2 cups of red onions, how many batches of salsa can they make?
Answer:
they can make 6 batches
Step-by-step explanation:
1/2 = 2/4 1 = 4/4
so if one batch is 1/4, and 4+2 is 6, they can make 6 batches
Answer:
6 Batches
Step-by-step explanation:
1. If p(x) = 3x + 4x² - 5x +8, find p(-2).
Step-by-step explanation:
[tex]\small{\underline{\tt{\red{Given}}}}[/tex]
[tex]\rightarrow[/tex] p(x) = -2
[tex]\small{\underline{\tt{\green{solution}}}}[/tex]
[tex]\rightarrow[/tex][tex]p(x) = 3x + {4x }^{2} - 5x + 8[/tex]
[tex]\rightarrow[/tex][tex]p( - 2) = 3( - 2) + 4( { - 2}^{2} ) - 5( - 2) + 8[/tex]
[tex]\rightarrow[/tex][tex] p( - 2) = - 6 + 16 + 10 + 8[/tex]
[tex]\rightarrow[/tex][tex]p( - 2) = 10 + 18[/tex]
[tex]\rightarrow[/tex][tex]p( - 2) = 28[/tex]
[tex]\small\boxed{p(-2) = 28 }[/tex]
Hope it helps
Mary leaves her house to take a walk. The graph shows the distance, d, in feet from her house that Mary is at any given time, t, in minutes. How many minutes has Mary walked when she reaches the farthest point from her house?
Answer:
It would be option A. 10 Minutes.
Step-by-step explanation:
If you look at the graph, the farthest point, and the time of 10 minutes meet at the point (10, 2,500)
(Really hoping this helps <3)
PLS HELP ASAP GUYS! 50 POINTS!! Match the verbal expression to its correct algebraic expression.
What is the answer to this question?
Answer:
-9
Step-by-step explanation:
Add the cards together
2 + -6 + 1 + -2 + -4
-9
27 divided by 52,758
Answer:
511
Step-by-step explanation:
ok
Answer. i believe this is your answer 0.00051177072
If an angle’s measure is between 0 and 90° then it is said to be a _____angle...
Answer:
acute
Step-by-step explanation:
An acute angle measures less than 90°.
What’s the slope of these points (-8,3) and (-8,2)
Answer:
donkeey kongy
Step-by-step explanation:
solve for u: u/9.6 = 6 whats the answer
Answer:
u = 57.6
Step-by-step explanation:
u/9.6 = 6
Multiply each side by 9.6
u/9.6 * 9.6 = 6* 9.6
u = 57.6
Answer:
u = 57.6
Step-by-step explanation:
To isolate u, we have to multiply 9.6 on both sides to eliminate the denominator. That leaves us with u = 6 * 9.6 = 57.6
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In an effort to gauge national public opinion, a national basketball news website places a poll on its homepage, asking participants whether their favorite sport is football, basketball, baseball, hockey, or soccer. Is this an appropriate sampling method? No. This convenience sample is very biased and is highly unlikely to be representative of national public opinion. Yes. This convenience sample is appropriate for the limited resources of a news website and is likely to be representative of the population. Yes. This simple random sample is ideal and will be representative of the population. No. This systematic sample is very biased and is highly unlikely to be representative of national public opinion.
Answer:
No. This convenience sample is very biased and is highly unlikely to be representative of national public opinion.
Step-by-step explanation:
The sampling as per its nature should be classed as convenience sample because of its definition: this method covers part of the population with easy to reach or close to hand.
This involves only those who will access the website and this can not be considered as representative of national public opinion.
Let's see the answer options:
No. This convenience sample is very biased and is highly unlikely to be representative of national public opinion.
CorrectYes. This convenience sample is appropriate for the limited resources of a news website and is likely to be representative of the population.
Incorrect as it is not representative of national public population.Yes. This simple random sample is ideal and will be representative of the population.
Incorrect as the method of sampling is not simple randomNo. This systematic sample is very biased and is highly unlikely to be representative of national public opinion.
Incorrect as the method of sampling is not systematic.• Solve the following equation:
4(-x + 1) = 2x-10
Answer:
x=7/3
Step-by-step explanation:
To solve the equation we have to isolate x.
So first we distribute on the left side
-4x+4=2x-10
then we add 4x to both sides
4=6x-10
add 10 to both sides
14=6x
divide both sides by 6
x=7/3
A dog spots a cat 50 feet away and starts to chase it. At the same moment, the cat starts to run away from the dog. The dog is running 12 feet per second and the cat is running 10 feet per second. Let t represent the time elapsed (in seconds) since the chase began. Let d represent the distance between the cat and the dog (in feet) Write a formula to define the distance between them (d) in terms of the time elapsed (t).
Answer:
D(t) = 50 -2t
At 25 seconds, the dog caught up with the cat
Step-by-step explanation:
At initial time t0
Distance = 50 ft
The dog is running 12 feet per second and the cat is running 10 feet per second.
So for each each time in seconds
Dog covers 12 feet while cat extends by 10 ft .
The distance between them at any given time
D(t)= 50 +10t -12t
D(t) = 50 -2t
The time it will take the dig to get to the cat is what D= 0
D(t) = 50 -2t
0= 50- 2t
2t= 50
t= 25
So at 25 seconds, the dog caught up with the cat
One week billy worked 36 hours at $6.70 per hour the next week he worked 40 hours at $6.85 per hour how much more did he earn the second week
I need a Substep 1&2
Week one:
36 * 6.70 = $241.20
Week two:
40 * 6.85 = $274
Subtract:
274 - 241.20 = $32.80
Therefore, he made $32.80 more the second week then he did the first week.
Best of Luck!
Explain how to solve 5 x 2 − 3 x = 25 by completing the square. What are the solutions?
Answer:
[tex]x = -5[/tex]
Step-by-step explanation:
[tex]5(2) - 3x = 25\\10 - 3x = 25\\-15 = 3x\\-5 = x[/tex]
Step-by-step explanation:
The solution is shown in the image above