Answer:
The answer is below
Step-by-step explanation:
The system of equations:
8x-9y+13z=11
-8x-5y+5z=15
3x+4y-8z=-10
The equations can be represented in matrix form as:
AX = B
X = A⁻¹B
Therefore:
[tex]\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] ^{-1}\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}\frac{1}{19} &-\frac{1}{19}&\frac{1}{19}\\-\frac{49}{380}&-\frac{103}{380}&-\frac{36}{95} \\-\frac{17}{380}&-\frac{69}{380}&-\frac{28}{95} \end{array}\right] \left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-0.74\\-1.69\\0.13\end{array}\right] \\[/tex]
Rewrite in slope-intercept form.
10x + 2y = 8
Enter your answer in the form y=mx+c
Simplify your answer if possible using integers or simplified fractions. Example: y=3/4x-2
10x+2y=8
Answer:
y = -5x + 4
Step-by-step explanation:
Solve for y
10x + 2y = 8
2y = -10x + 8
y = (-10x)/2 + 8/2
y = -5x + 4
Which equation represents exponential decay?
O A y = 100(31)
O B. y = 1 (3.1)
C. y = 10(0.13)
D. y = 100(1.03)
Answer:
The function y = 10(0.13)ˣ represents exponential decay.
Hence, option C is the correct function.
Step-by-step explanation:
We know that an exponential function is of the form
y = abˣ
where 0 < b < 1
Please note that an exponential function cannot have a base of 0, 1, or a negative value.
Now, if we carefully observe, the function y = 10(0.13)ˣ is the only option correct as
here 0 < b < 1 and a > 0
Therefore, the function y = 10(0.13)ˣ represents exponential decay.
Hence, option C is the correct function.
how to find the surface area of a triangular prism
Answer:
Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.
Step-by-step explanation:
1. Mr. Jones is correcting math test. Here are the scores for the
first fourteen tests he corrected 62, 65,93, 51, 55, 12,79,
85, 55, 72, 78, 83, 91, and 76. Which score does not seem
to fit the data? Explain how the outlier score affects the
mean and the median of the data.
Answer:
12
Step-by-step explanation:
12 doesn't fit the data because it is so much farther from the general average of the others.
12 affects the median because with it, the median is 74. but without 12, the median is 76.
12 affects the mean because with it, the mean is 68.36. but without 12, the mean is 72.69.
If 7 + 3x = 22, then 2x = ?
O 5
O 10
O 12
0 14
og
3
Answer:
10
Step-by-step explanation:
Answer:
2x=10
Step-by-step explanation:
please answer the following
EASY ALGEBRA! HELP PLEASEEE <3
Fill in the blank with a number to make the expression a perfect square.
v²-14v+__
(fill in where the underscore is)
I know the answer is 49, But please just work out the problem!!
Expression 10 x (250 + 45) years
Answer:
2950
Step-by-step explanation:
the answer is 2950 the reason why is if u solve the given problem this is what you get
Answer:
250+45=325 x 10=3250
Step-by-step explanation:
P and q are points on the line y=2-4X
Draw the line y= 2-4X for vales of x from -2 to 2
Answer:
`The answer is below
Step-by-step explanation:
P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)
Draw the line y= 2-4X for vales of x from -2 to 2
Solution:
The equation of a line is given by:
y = mx + b
Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).
The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.
x: -2 -1 0 1 2
y: 10 6 2 -2 -6
The value P(0, ) Q( ,0)
The y coordinate of point P is gotten by substituting x = 0:
y = 2 - 4(0) = 2
P = (0, 2)
The x coordinate of point Q is gotten by substituting y = 0:
0 = 2 - 4x
4x = 2
x = 0.5
Q = (0.5, 0)
Hy my friend needs help with her math I say it’s pretty easy but it cuz I have my hw to do .. so can someone help her out ?!
Answer: the answer I’m is 16,800
Step-by-step explanation:
To find the number of kg you multiply the number by 1,000.
16.8*1,000=16,800
2y - x = -8
Put it in line slope-intercept simplifying all fractions
a
\large 140\frac{1}{2}
b
\large 140\frac{1}{3}
c
\large 141
d
\large 140\frac{3}{4}
What is 123x264 answer fast
Answer:
theres something call a calculator but anyways lol the answer is 32472
Answer:
32,472 is the correct answer
jan takes her dog for a walk.
she leaves her house at 11:40am and returns at 12:17pm.
how long did the walk take?
Answer:
37 minutes. :))
Step-by-step explanation:
Write a quadratic function to model the graph. Please help!!
Answer:
80 because that you need to work on
What is the volume of the following rectangle prism? Plz help
Answer:
7 2/3 or 7.666
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
since we only have two points we have to do
4/3 x 23/4 = 7 2/3 or 7.666
so the answer is 7 2/3 or 7.666
Rose was tracking the movements of a rabbit and plots the movements of the rabbit on this graph.
Calculate the fastest speed that Rose observes the rabbit move.
Answer:
2.25 m/sStep-by-step explanation:
Looking at the graph, we observe that the interval CD is when the speed was the fastest
Let's calculate this, use points C(4,3), D(12,12)
(12 - 3)/(12 - 8) = 9/4 = 2.25 m/sTwo important ingredients for baking bread are yeast and flour. To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200. If you're making a loaf of more than 30 servings, use a ratio of 1:180. If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need?
If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? ANSWER=90
If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need? ANSWER=4
The flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.
Given to us
To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200.
To make a loaf of bread of more than 30 servings, maintain a yeast to flour ratio of 1:180.
Ratio for 30 ServingsA.) If We are making 30 servings of bread and using 0.45 oz of yeast,
As it is given that for 30 servings we must maintain a yeast to flour ratio of 1:200, therefore,
[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{200}[/tex]
Using the ratio for 0.45 oz of yeast,
[tex]\rm \dfrac{0.45\ oz}{Flour} = \dfrac{1}{200}[/tex]
[tex]\rm {Flour} = 200 \times 0.45\ oz[/tex]
[tex]\rm {Flour} = 90\ oz[/tex]
Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.
Ratio for 90 ServingsB.) If We are making 90 servings of bread and using 720 oz of flour,
As it is given that for more than 30 servings we must maintain a yeast to flour ratio of 1:180, therefore,
[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{180}[/tex]
Using the ratio for 720 oz of flour,
[tex]\rm \dfrac{Yeast}{720\ oz} = \dfrac{1}{180}[/tex]
[tex]\rm {Yeast} = \dfrac{720\ oz}{180}[/tex]
[tex]\rm {Flour} = 90\ oz[/tex]
Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.
Hence, the flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.
Learn more about Ratio:
https://brainly.com/question/1504221
What is the square root of X with an exponent of 7?
Answer:
[tex] {x}^{3} \sqrt{x} [/tex]
Step-by-step explanation:
hope it helps ☺️
suggestions : Photomath application
it will be explained you about how to find solutions.
How do I do this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = 5
Step-by-step explanation:
39° + 90° + (7x + 16)° = 180°
39 + 90 = 129
180 - 129 = 51
7x + 16 = 51
7x + 16 - 16 = 51 - 16
7x = 35
7x/7 = 35/7
x = 5
Writing Equations of Lines
Answer:
Please leave more information.
Step-by-step explanation:
21 of an ice cream company's flavors contain nuts.
How many total flavors does the company make if
30% of them contain nuts?
PLEASE HELP ME! :(
Answer:
The company has 70 falvors
for all positive values of x the value of ^log x ^x is always __ and the value of ^log x ^1 is always__
Answer: 1, 0
Step-by-step explanation: Logarithm base x of x is 1 and Logarithm base x of 1 is 0.
The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .
What is a Logarithm base?It is the function where the log , base a of the x. It shows the inverse of the exponential function so here the exponential form be used.
So we can conclude that The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .
Hence, the above answers are correct.
Learn more about values here: https://brainly.com/question/20347857
Plsssssss help meeeeeeeeeeeee I need help
Answer:
honestly I think its QT
Step-by-step explanation:
hope it helps
Help im behind my math class. pls
Answer:
Please check the explanation.
Step-by-step explanation:
From the given diagram, we can observe that r and s are the two parallel lines intersected by the two transversal lines.
Therefore, the pairs of alternating interior angles formed by the two transversal lines are:
∠1 & ∠5 ∠2 & ∠4∠2 & ∠7 ∠3 & ∠6We know that alternating interior angles formed by a transversal line are congruent.
Thus,
∠1 = ∠5 ∠2 = ∠4∠2 = ∠7 ∠3 = ∠6Part a)
Given
m∠1 = 3x + 42
m∠5 = 8x - 8
As
∠1 = ∠5
So
3x + 42 = 8x - 8
flipe the equation
8x - 8 = 3x + 42
subtract 3x from both sides
8x - 8 - 3x = 3x + 42 - 3x
5x - 8 = 42
add 8 to both sides
5x - 8 + 8 = 42 + 8
5x = 50
divide both sides by 5
5x/5 = 50/5
x = 10.0000 (Rounded to four decimal places)
Thus, the value of x = 10.0000 (Rounded to four decimal places)
Part b)
Given
m∠6 = 12°
It is clear that angles ∠6 and angle ∠7 lie on a straight line.
Thus,
The sum of ∠6 and ∠7 is 180°.
∠6 + ∠7 = 180°
substituting m ∠ 6 = 12° in ∠6 + ∠7 = 180°
12° + ∠7 = 180°
subtract 12 from both sides
12° + ∠7 - 12° = 180° - 12°
∠7 = 168°
Thus, measure of angle ∠7 = 168°.
We already know that alternating interior angles formed by a transversal line are congruent.
∠7 and ∠2 are alternating interior angles.
Thus,
∠2 = ∠7
As ∠7 = 168°.
Therefore,
∠2 = 168°
Hence, we conclude that
∠2 = 168°
The quotient of 9 and a number less 4
Answer:
ead the excerpt from "The Most Dangerous Game,” by Richard Connell.
His foot touched the protruding bough that was the trigger. Even as he touched it, the general sensed his danger and leaped back with the agility of an ape. But he was not quite quick enough; the dead tree, delicately adjusted to rest on the cut living one, crashed down and struck the general a glancing blow on the shoulder as it fell; but for his alertness, he must have been smashed beneath it. He staggered, but he did not fall; nor did he drop his revolver. He stood there, rubbing his injured shoulder, and Rainsford, with fear again gripping his heart, heard the general's mocking laugh ring through the jungle.
Which analysis best explains the effect of adding the female character
Step-by-step explanation:
Use the slope formula to find the slope between the given two points. (2, 1) and (8, 9)
Answer:
if the two points are known. 4/3 or 1.333
a num
A retailer purchased a photocopy machine for Rs 1.60,000 from a dealer. Helshe
spent Rs 2,500 for transportation and Rs 1,500 for the local tax. If he/she sold it at
a profit of Rs 6,000 to a customer, how much did the customer pay for it with 13%
VAT?
b number
A supplier sold a machine levying 13% VAT on Rs 3,20,000 to a retailer. The
retailer spent Rs 10,000 for transportation and Rs 5,000 for the local tax. If the
retailer sold it at a profit of Rs 15,000 to a customer, how much did the customer
pay for the machine with 13% VAT?
Answer:
answer is rs 192100ra 395500
Find the scale factor
Answer:
36/x =48/24
36/x =2
2x= 36
x= 36/2
x=18
3x + 16 = 136
(3 seconds per item, plus 16 seconds to process payment, equals 136 seconds total.)
Subtract 16 from each side. Then divide both sides by 3.
Answer:
x = 40
Step-by-step explanation:
