Answer:
midpoint x=5/2&y=-7/2 this might be helpful
Solve the system of equations.
3x + 4y + z = 3
4x + 3y + 32 - 4
5x+67+72-5
Answer:
First, we write the augmented matrix.
⎡
⎢
⎣
1
−
1
1
2
3
−
1
3
−
2
−
9
|
8
−
2
9
⎤
⎥
⎦
[1−1123−13−2−9 | 8−29]
Next, we perform row operations to obtain row-echelon form.
−
2
R
1
+
R
2
=
R
2
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
3
−
2
−
9
|
8
−
18
9
⎤
⎥
⎦
−
3
R
1
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
0
1
−
12
|
8
−
18
−
15
⎤
⎥
⎦
−2R1+R2=R2→[1−1105−33−2−9|8−189]−3R1+R3=R3→[1−1105−301−12|8−18−15]
The easiest way to obtain a 1 in row 2 of column 1 is to interchange
\displaystyle {R}_{2}
R 2
and
\displaystyle {R}_{3}
R 3
.
Interchange
R
2
and
R
3
→
⎡
⎢
⎣
1
−
1
1
8
0
1
−
12
−
15
0
5
−
3
−
18
⎤
⎥
⎦
InterchangeR2andR3→[1−11801−12−1505−3−18]
Then
−
5
R
2
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
57
|
8
−
15
57
⎤
⎥
⎦
−
1
57
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
1
|
8
−
15
1
⎤
⎥
⎦
−5R2+R3=R3→[1−1101−120057|8−1557]−157R3=R3→[1−1101−12001|8−151]
The last matrix represents the equivalent system.
x
−
y
+
z
=
8
y
−
12
z
=
−
15
z
=
1
x−y+z=8 y−12z=−15 z=1
Using back-substitution, we obtain the solution as
\displaystyle \left(4,-3,1\right)
(4,−3,1)
Answers the question in the picture
Answer:
see explanation
Step-by-step explanation:
- 6 would represent a $6 debt
- 6 would represent 6 feet below sea level
a que taxa mensal devo empregar um capital de r$ 20.000 para que no fim de 10 meses renda 18.000 de juros
Answer:
Following are the solution to the given question:
Step-by-step explanation:
[tex]\to 18000=2000 \times i \times 10 \\\\\to 18000=200000 \times i\\\\\to i=\frac{18000}{200000}\\\\\to i= \frac{18}{200}\\\\ \to i= \frac{9}{100}\\\\ \to 0.09\\\\[/tex]
Calculating the percentage:
[tex]\to 0.09\times 100=9\%[/tex]
What's the perimeter of this shape?
Answer:
32m
Step-by-step explanation:
7+5+5+4+4+1+3+3=32
Math question too tough for me, for every math question, i have to ask
Answer:
I'm pretty sure that the answer is 55.
Sorry if I'm wrong.
Help me on this pls!!!!!!
Step-by-step explanation:
bla bla bla bla123222222333333
A graph of f(x)=acos(bx) is shown, where b is a positive constant. Determine the values of a and b.
Answer:
Option (1)
Step-by-step explanation:
Equation of the given wave function,
f(x) = acos(bx)
Here, a = amplitude of the wave
Period of the wave = [tex]\frac{2\pi }{B}[/tex]
From the graph attached,
Amplitude = [tex]\frac{4-(-4)}{2}[/tex]
= [tex]\frac{4+4}{2}[/tex]
= 4
Period of the wave = π - 0
= π
From the formula of the period,
Period = [tex]\frac{2\pi }{b}[/tex]
[tex]\pi =\frac{2\pi }{b}[/tex]
b = 2
Therefore, a = 4 and b = 2.
Option (1) will be the answer.
Look below at the picturess!!! pls help me i will give you 100 points !
Answer:
1/4
Step-by-step explanation:
because there 25% change
Answer:
for the blue its 1/4 or 2/8 and not likely.
For the yellow one it is 7/8 and likely.
A rectangle I'd formed by placing two identical squares side by side. The area of the rectangle is two centimeters squared. What is the perimeter of one square.
Answer:
4cm
Step-by-step explanation:
first find the length of one side of the square
let x represent that
making 2x length of the rectangle
area of a rectangle=length x width
2cm²=2x×x
2cm²=2x²
2cm²/2=2x²/2
1cm²=x²
1√cm²=√x²
1cm=x
perimeter of a square=4xside
4x1cm
4cm
Is Integer a Rational Number?
Hey there!
Before we get to know an Integer and Rational Number, we have to know the Real Number system first.
1. What is Real Number System?
Real Number System is very commonly used in mathematics. It is a number system that is "logical", at least when it comes to solving an equation.But do you know that the Real Number system can be broken into two categorizes? And what are them?
Real Numbers can be broken into these main two categorizes which are:
Irrational NumberRational NumberThese numbers can also be broken into other categorizes as well! Crazy, ain't it? Well that's how maths work!
Anyways, we will skip Irrational Number since it is off-topic and not related to your question. We will talk about Rational Number instead.
2. What is Rational Number?
Rational Number is a number that can be written in fraction form. That is a simple explanation for the Rational Number. Please lecture or note that approximations aren't considered as rational numbers. Even though π ≈ 22/7 which is in fraction form but it is just an approximation which is considered as Irrational Number. Also if infinity/endless decimal can be written in fraction form as well, they are considered as Rational Number too!Now we know the meaning of Rational Number. But like I said, the Rational Number can be broken into other categorizes which are:
Integers - Whole number or number without fraction or decimal.Fractions and Decimals that can be written in fraction form.And Integers can also be broken into:
Negative IntegersZeroPositive Integers3. Conclusion and Answer
Since Integers are subset of Rational Number, we can conclude that Integers are Rational Number.Hope this helps, and let me know if you have any doubts regarding Real Number system.
Can someone help me please really need help? I’ll help you back please & thanks
Which fraction equals the ratio of rise to run between the points (0, 0) and (6, 7)? A. B. C. D.
Answer:
7 / 6
Step-by-step explanation:
Given the points:
points (0, 0) and (6, 7)
Point 1 : x1 = 0 ; y1 = 0
Point 2 : x2 = 6 ; y2 = 7
The rise = y2 - y1 = 7 - 0 = 7
The run = x2 - x1 = 6 - 0 = 6
Ratio of Rise to Run = Rise / Run = 7 / 6
Help I’m to lazy to do it
What is 10000 - 82583 + 81627 X 2
Answer:
90,671
Step-by-step explanation:
10,000- 82,583+ (81,627 x 2)
Answer:
-235,837
Step-by-step explanation:
Given :
10000-82583+81627×2
Now,
10000-82583+163254
10000-245837
-235,837
Answer will be -235,837
I need help please!!
Answer:
10 or in coordinate form(0,10)
Step-by-step explanation:
The y intercept is where the line crosses the y axis
The graph crosses the y axis at 10
(0,10)
Write twelve thousand twelve hundred and twelve in numbers
13,212
Step-by-step explanation:
12000+1200+12
This is such a mind bending question
Goodluck
if you can bake 14 cupcakes in one hour how long will it take to bake 126 cupcakes?
Answer:
9 hours
Step-by-step explanation:
126 dived by 14 is 9, so it will take 9 hours to bake 126 cupcakes.
Answer: It will take maybe 9 hours
hope this helps :)
Step-by-step explanation:
simplify the following
(2p+1)(2p-1)
find the value of x and y, (3x - 2y, 7) = (11, x + y)
Answer:
Step-by-step explanation:
Given,(3x-2y,7)=(11,x+y)
So,3x-2y=11...............(i)
7=x+y
or,x+y=7................(ii)
Now,Multiplying eqn.(ii) by 2,we get,
2x+2y=14...........(iii)
Adding eqn(i) and eqn(iii),
3x-2y+2x+2y=11+14
or,5x=25
or,x=5
Substituting value of x in eqn(i),
5+y=7
or,y=2
Hence,the values of x and y are 5 and 2 respectively.
Earth is the third planet from the Sun, with an average distance of
93,000,000 miles. It takes light about 8 minutes to travel from the Sun
to Earth.
Pluto, a dwarf planet, has an average distance of 3.7 X10° miles
from the Sun. How many times farther from the Sun is Pluto than
Earth? How long does it take light to reach Pluto?
Answer:
The ratio of the distance of Pluto and the earth to the Sun is 40.
Time taken by light to travel from Sun to Pluto is 5.3 hours.
Step-by-step explanation:
Distance between Earth an Sun = 93,000,000 miles
Time from Sun to Earth = 8 minutes
Distance beteen Pluto and Sun = 3.7 x 10^9 miles
The ratio of the distance between Pluto and Sun to the Earth and Sun is
[tex]\frac{3.7\times 10^9}{93000000}\\\\=39.8 =40[/tex]
Now let the time taken by the light to move from Sun to Pluto is t.
[tex]\frac{93000000}{8}=\frac{3.7\times 10^9}{t}\\\\t =318.28 minutes = 5.3 hours[/tex]
I need to know the answer pleaseeee
Answer:
4:49
Step-by-step explanation:
Please help. I really need to pass this.
Answer:
3.75
Step-by-step explanation:
r²+9²=(6+r) ²
r²+81 = 36+12r + r²
81=36+12r
=> 12r = 45
r = 45/12 = 3.75
Which of the following functions is graphed below?
Answer:
Answer B - y=[x]+7
Step-by-step explanation:
A normal [x] function has a slope of one, a y intercept of 0, and all the other basic values.
7 changes this.
Looking at the graph, we see that the y intercept is now 7.
How can this be? x was added to by 7.
If it was subtracted, it would be -7, not postive 7.
So the answer is y=[x]+7
Hope this helps!
Answer:
A
Step-by-step explanation:
when we accept X to 0, y should be 7 and when we accept X to 2 or 4 or 6, y should be in order to 9, 11 and 13.
It twice the difference of a number and gig add to 4 the result is 22 more than four time the number. Find the number.
PLEASE HELP!!!!!!!!!!!!!!!!!
will mark brainlist
Answer:
I have given the answer in the picture!
Step-by-step explanation:
Hey mate my answer is the correct one!
PLEASE HELP ME I NEED AN ANSWER ASAP!! <3
(photo included)
Answer: B.
tan 45=perpendicular/base
1=8/AB
So, AB=8
Since it's a right-angled triangle, BC is a hypotenuse.
BC=√(AC^2+AB^2)
=r√(8^2+*^2)
=8 √2
Simplify (12^0)(12^6). Write your answer using an exponent. Explain how you found your answer.
Step-by-step explanation:
(12^0)(12^6)
1 ×12⁶. (a⁰=1, a is a number)
=12⁶
A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were rejected at the final inspection and could not be sold. A new process is introduced that is intended to reduce the proportion of rejected screens. After the process has been in place for several months a random sample of 100 screens is selected and inspected. Of the 100 screens 6 are rejected. What are the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected?
A. H0:p=0.12Ha:p<0.12 A
B. H0:p=0.12Ha:p>0.12 B
C. H0:p=0.06Ha:p<0.06 C
D. H0:pˆ=0.06Ha:pˆ>0.06 D
E. H0:pˆ=0.12Ha:pˆ<0.12 E
Answer: A.
[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]
Step-by-step explanation:
Null hypothesis[tex](H_0)[/tex] : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.
Alternative hypothesis [tex](H_a)[/tex]: A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.
Let p be the proportion of screens that will be rejected.
12 percent of the screens manufactured using a previous process were rejected at the final inspection.
(i.e. p= 0.12)
Objective of the study = whether the new process reduces the population proportion of screens that will be rejected
i.e. p< 0.12
So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:
[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]
Find the area of the circle.
452.16 ft2
37.68 ft2
1808.64 ft2
113.04 ft2
Answer:
113.04^2
Step-by-step explanation:
radius = diameter / 2
=12/2
=6 ft
area of circle = πr^2
=3.14 * 6^2
=3.14 *36
=113.04 ft^2
Answer:
[tex]{ \boxed{ \tt{ formular : { \tt{area}} = \pi {r}^{2}}}} \\ { \green{radius = \frac{diameter}{2} = \frac{12}{2}}} \\ area = \frac{22}{7} \times { (\frac{12}{2} )}^{2} \\ { \boxed{area = 113.04 \: {ft}^{2} }} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
If a + b = 2 and a - b = -4 what is the value of ab A. 5 B. -5 c.3 D. -3
Answer:
D
Step-by-step explanation:
Given the 2 equations
a + b = 2 → (1)
a - b = - 4 → (2)
Add the equations term by term to eliminate b
2a + 0 = - 2
2a = - 2 ( divide both sides by 2 )
a = - 1
Substitute a = - 1 into (1) and solve for b
- 1 + b = 2 ( add 1 to both sides )
b = 3
Then
ab = - 1 × 3 = - 3 → D
Answer:
option d
Step-by-step explanation:
a+b=2. ,. a-b = -4
a= 2-b
substituting values, we get
(2-b) - b = -4
2 -b -b =-4
2 -2b =-4
-2b = -4-2
2b= 6
b =3
a = 2-3
a= -1
ab = 3×-1
ab = -3
y(0.5 + 4)
PLEASE HELP!!
Answer: 8
Step-by-step explanation:
Answer:
4.5y
Step-by-step explanation:
0.5y + 4y
4.5y