9514 1404 393
Answer:
d 2
Step-by-step explanation:
The system of equations can be written in augmented matrix form as ...
[tex]\displaystyle\left[\begin{array}{cc|c}-\frac{1}{2}&3&-4\\-1&-1&-1\end{array}\right][/tex]
The value of x found by Cramer's rule is the ratio of two determinants. The numerator is the coefficient matrix with the x-column replaced by the constant column. The denominator is the coefficient matrix.
[tex]\displaystyle x=\frac{\left|\begin{array}{cc}-4&3\\-1&-1\end{array}\right| }{\left|\begin{array}{cc}-\frac{1}{2}&3\\-1&-1\end{array}\right|}=\frac{(-4)(-1)-(-1)(3)}{(-\frac{1}{2})(-1)-(-1)(3)}=\frac{4+3}{\frac{1}{2}+3}\\\\\boxed{x=2}[/tex]
Using the Cramer's rule, the value of x in the system of equation is 2
How to solve for x?The system of equation is given as:
-1/2x + 3y = -4
-x - y = -1
Represent the above equation as a matrix
[tex]\left[\begin{array}{cc}-1/2&3\\-1&-1\end{array}\right] \left[\begin{array}{c}-4&-1\end{array}\right][/tex]
Start by calculating the determinant of the matrix
|A| = -1/2 * -1 - 3 * -1
Evaluate
|A| = 7/2
To calculate x, we replace the first column by the last.
So, we have:
[tex]\left[\begin{array}{cc}-4&3\\-1&-1\end{array}\right][/tex]
Next, calculate the determinant of the matrix
|x| = -4 * -1 - 3 * -1
|x| = 7
The value of x is then calculated as:
x = |x|/|A|
This gives
x = 7 ÷ 7/2
Evaluate
x = 2
Hence, the value of x is 2
Read more about Cramer’s rule at:
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I WILL GIVE BRAINLIEST AND A HEART AND 5 STARS!!!
Answer:
A) 180 square feet.
Step-by-step explanation:
The two rectangles are congruent, therefore having the same area.
The area of a rectangle, or any quadrilateral for that matter, is Length x Width.
12 * 4 = 48
There are two, so multiply this number by 2 and you get 96.
The formula for a trapezoid's area is height * 1/2 * (base 1 + base 2)
The height given is 6 feet. The 1st base is 10 feet, and the longer base is 10 + 4 + 4, this equals 18
The formula is now
[tex]6 * \frac{1}{2} (18 + 10)\\6 * \frac{1}{2} (28)\\6* 14\\=84[/tex]
Now in total, 84 + 96 = 180.
B is not the answer, A is.
Este curso nuestro instituto tiene 473 alumnos. Si nos dicen que respecto al curso anterior se ha producido un aumento de inscripciones del 10 %, ¿cuántos alumnos había el curso anterior?
Answer:
En el curso anterior había 430 alumnos.
Step-by-step explanation:
El curso tiene 473 alumnos. Nos dicen que respecto al curso anterior se ha producido un aumento de inscripciones del 10 %. Entonces, siendo x la cantidad de alumnos que había en el curso anterior, se puede plantear la ecuación:
x + 0.1*x= 473
Resolviendo se obtiene:
1.1*x=473
x= 473 ÷1.1
x= 430
En el curso anterior había 430 alumnos.
What are the solutions to the following equation?
[m] = 8.5
The value of m is equal to 8.5 and____because each distance from zero is 8.5.
Answer:
Basic Of Algebra. Basics of Algebra cover the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0. This introduces an important algebraic concept known as equations .
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Jayden invested $1,500 in an account in the year 2005, and the value has been
growing exponentially at a constant rate. The value of the account reached $1, 800 in
the year 2011. Determine the value of the account, to the nearest dollar, in the year
2019.
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Something happened when you copy and pasted the question, was it important to the question?
In a mathematics class, half of the students scored 55 on an achievement test. With the exception of a few students who scored 72, the remaining students scored 60. Which of the following statements is true about the distribution of scores?
A. The mean and the median are the same.
B. The mean is greater than the median.
C. The mean is less than the mode.
D. The mean is less than the median.
Answer: B
Step-by-step explanation: Trust me
Mean (Average) 62.333333333333
Median 60
oWhat can I say execpt your welcome
The mean is greater than the median.
Option (B) is correct.
To find the statements is true.
What is statistics?A branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data.
Half the students scored 55.
The next highest score is 60. So the median is (55+60) / 2 = 57.5.
A few students scored 72, so the mean is slightly greater than the mean of 55 and 60.
Therefore, the mean is greater than the median.
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The figure is not drawn to scale. PQ and MN are straight lines.
Find ZZ
helpppp
Find the values of x and y so that GHJK is a dart. Be sure to show all work .
Answer:
Step-by-step explanation:
In dart, adjacent sides are equal
JK = GK
3x - 9 = x + 13 {Add 9 to both sides}
3x = x + 13 + 9
3x = x + 22 {Subtract 'x' from both sides}
3x -x = 22
2x = 22 {Divide both sides by 2}
x = 22/2
x = 11
JH = GH
9y = 5y + 8 {Subtract 5y from both sides}
9y - 5y = 8
4y = 8 {Divide both sides by 4}
y = 8/4
y = 2
The radius of a basketball is 10 inches, and the radius of a soccer ball is 9 inches. How much greater is the volume of the basketball than the soccer ball? Round the nearest tenth.
Answer:
The basketball volume is 1135.2 in³ greater than the soccer ball volume.
Step-by-step explanation:
Basketball volume is V = (4/3)πr³, or V = (4/3)(3.14)(10 in)³ = 4188.79 in³
Soccer ball volume is V = (4/3)πr³, or V = (4/3)(3.14)(9 in)³ = 3053.63 in³
Subtract the smaller from the larger to determine how much greater the large ball volume is:
4188.79 in³ - 3055.63 in³ = 1135.2 in³
Answer:
1135.2
Step-by-step explanation:
1135.2
The arc measure of AB is 74, what is the arc measure of CD?
Multiply (x+6) to (x^2 - 7x + 12)
Answer:
x³- x²- 30x + 72
Step-by-step explanation:
this is just like simple multiplication, you need to multiply each term in (x + 6) by each term in (x² - 7x + 12)
hope this helps
You go to dinner with your family. The bill before tax is $60.00. How much is your bill when 7.25% tax added on?
help pls fast ok ty yh
Answer:
the first circle 75
Step-by-step explanation:
hope it helps
Answer:
The answer is 75
Step-by-step explanation:
Hope it's helps you :)
Which choice is equal to the expression shown?
6a + 3a + 8b+ a - 56
A.
зь + ба
B.
3b + 9a
C.
3b + 10a
D.
13b + 9a
Answer: C
Step-by-step explanation:
How are you really? 100 points, Be honest.
Answer:
Why are you wasting your points? LOL XD
Step-by-step explanation:
Answer:
Good
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!!!!
Answer:
b is 100
Step-by-step explanation:
Answer:
Average is 100
Median is 87.5
Step-by-step explanation:
For average you add up all numbers and divide by how many there are, in this case all numbers added together equals 600, then you divide by 6.
For median, you put the valuse from least to greatest and find the number in the middle, for these numbers, there are 2, 75 and 100, so you add those together and divide them by 2.
50 points Help Please!!!! Solving angle word problems with complementary and supplementary angles
Will give brainliest and 20 points!!!!
Answer:
You would times all the angle by 5 then see if they are smaller then the original give me brainliest
Step-by-step explanation:
PLEASE HELP!!!!! 50 POINTS!!!! REAL ANSWERS ONLY!!!!!! PLEASE HELP!!!!!! I NEED TO GET THIS DONE
finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number
Answer:
#1
30° as opposite side is half of the hypotenuse#2
7/16 = tan xx = arctan (7/16) = 24°#3
31/50 = tan xx = arctan (31/50) = 32°#4
5/7 = cos xx = arccos (5/7) = 44°#5
4/14 = sin xx = arcsin (4/14) = 17°#6
6/7 = cos xx = arccos (6/7) = 31°#7
29/37 = tan xx = arctan (29/37) = 38°#8
43/60 = sin xx = arcsin (43/60) = 46°#9
32/44 = cos xx = arccos (32/44) = 43°Answer:
let angle be x
Step-by-step explanation:
relationship between perpendicular and hypotenuse is given by sin anglesin x =p/h
sin x=13/26
x=sin-¹(13/26)=30°
2.relationship between perpendicular and base is given by tan angle
tan x =p/b
tan x =7/16
x=tan -¹(7/16)=23.63°
3.relationship between between perpendicular and base is given by tan angle
tan x =p/b
tanx=31/50
x=tan-¹(31/50)=31.8°
4.relationship between base and hypotenuse is given by cos angle
cos x =b/h
cos x=5/7
x=cos-1(5/7)=44.4°
5.relationship between perpendicular and hypotenuse is given by sin angle
sin x =p/h
sin x=4/14
x=sin-¹(4/14)=16.6
6..relationship between base and hypotenuse is given by cos angle
cos x=6/7
x=cos-¹(6/7)=31.0027
7.relationship between perpendicular and base is given by tan angle
.tanx=29/37
x=tan-¹(29/37)=38.09
8.relationship between perpendicular and hypotenuse is given by sin angle
.sin x=43/60
x=sin-¹(43/60)=45.78
9..relationship between base and hypotenuse is given by cos angle
cos x=32/44
x=cos-¹(32/44)=43.34
if y=3 sin (-4x), find dy/dx
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the derivatives.
Hence, y = 3 sin(-4x), we use the chain rule here.
dy/dx =3 ( cos(-4x).-4)
====> dy/dx = -12 cos(-4x)
Please Help!!
I don't understand.
Dennis stood on a 9 foot ladder to measure the sunflower. How much taller is the tallest sunflower than the ladder?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Ladder = 9ft[/tex]
[tex]Tallest\ Sunflower = x[/tex]
Required
How much taller is the tallest
To get this, we simply calculate the difference between the height of the tallest sunflower and the ladder.
i.e.
[tex]Difference = Tallest\ Sunflower - Ladder[/tex]
[tex]Difference = x - 9[/tex]
-----------------------------------------------------------------------------------------------------
If for instance, the tallest is 13ft, then it is 4ft taller.
Because:
[tex]Difference = 13ft - 9ft[/tex]
[tex]Difference = 4ft[/tex]
I don’t understand this problem
Answer: 20
Step-by-step explanation:
a^2=b^2 - c^2. i think i could be wrong
No troll answers again, I just need help
Answer:
x= 16
Step-by-step explanation:
here!hope this helps
Answer:
10[tex]\sqrt{3}[/tex], or 17.32050
Step-by-step explanation:
. Why do you add 6 + 4 rs
Solve the system using a matrix.
2x – 4y + 2z = 16
-2x + 5y + 2z = -34
x – 2y + 2z = 4
([?],[],[]
ordered triple
Answer:
using Gaussian elimination method of matrix
What is the next fraction in this sequence? Simplify your answer. 4 5 , 2 3 , 8 15 , 2 5 , ...
Answer:
4/15
Step-by-step explanation:
To simplify this question, to make it easier to be solved, we try and make sure that all the fractions have the same denominator. This is done by saying
4/5
2/3
8/15
2/5
From the aforelisted numbers, the highest denominator is 15, and thus, we try to make all the denominators 15
4/5 * 3/3 = 12/15
2/3 * 5/5 = 10/15
8/15 * 1/1 = 8/15
2/5 * 3/3 = 6/15
I multiplied it that way, so that it's decimal value doesn't change, even as it gives us the required fraction.
From the new crop of fractions, we have
12/15
10/15
8/15
6/15
If there's anything, we can tell that the sequence is reducing in a -2/15 rate, and thus, our next sequence has to be 4/15
What is the midpoint between -9 and 15 on the number line?
12
2
3
6
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Answer:
Its 268.08 hope this helps
Step-by-step explanation:
The correct answer and volume to this is 268.08 CM
Which option shows the following fractions written with a common
denominator?
2/7 and 4/6
Answer:
4/6
Step-by-step explanation:
because 2 can go twice to 4 and three to 6
10x + 5y = -5 and y= -2x + 6
slope 1st line
slope 2nd line
Type of Lines
Answer:
-2 , -2, parallel
Step-by-step explanation:
same slope, different y intercept, parallel
Which number
is two less than
one million?
Answer:
999,998
Step-by-step explanation: