Answer:
The answer is "[tex]d \neq 3c,[/tex]f and g are arbitrary".
Step-by-step explanation:
The matrix of the device is increased
[tex]\left[\begin{array}{ccc}1&3&f\\ c&d&g\\ \end{array}\right][/tex]
Reduce the echelon row matrix
[tex]\left[\begin{array}{ccc}1&3&f\\ c&d&g\\ \end{array}\right] \\\\R_1 \leftrightarrow R_2 \\\\\frac{R_2 -1}{C R_1 \to R_2} \sim \left[\begin{array}{ccc} c&d&g\\ 0 & \frac{3c-d}{c}& \frac{cf-g}{c}\\ \end{array}\right][/tex]
Therefore, if 3c[tex]\neq[/tex] 0 is d [tex]\neq[/tex] 3c, the device is valid. Therefore d [tex]\neq[/tex] are arbitrary 3c, g and f.
The values of the coefficients c and d are 1 and 3, respectively
The system of equations are given as:
[tex]x_1 + 3x_2 = f[/tex]
[tex]cx_1 + dx_2 = g[/tex]
From the question, we understand that the system of equations is consistent.
Assume that the system of equations is also dependent, then it means that:
[tex]c =1[/tex]
[tex]d =3[/tex]
[tex]g =f[/tex]
Hence, the values of the coefficients c and d are 1 and 3, respectively
Read more about systems of equations at:
https://brainly.com/question/13729904
What input is NOT allowed for f(x) = 3/ x-5
Answer:
x ≠ 5
Step-by-step explanation:
x ≠ 5
The reason for this is because if we use the input 5, this will be the result:
f(x) = 3/(5) - 5
f(x) = 3/0 = Undefined
please help thx so much
Answer:
I think c is the answer....
Simplify. Express the answers using positive exponents
Answer:
C
Step-by-step explanation:
The simplified expression of the given expression -5[tex]w^2y^{-2[/tex] / -15[tex]w^{-6}y^2[/tex] is [tex]w^{16[/tex].
The expression -5[tex]w^2y^{-2[/tex] / -15[tex]w^{-6}y^2[/tex] can be simplified as follows:
= -5 * [tex]w^{2 - (-6)[/tex] * [tex]y^{-2 - 2[/tex] / -15 * [tex]w^{-6 - 2[/tex] * [tex]y^{2 - (-2)[/tex]
= -5 * [tex]w^8[/tex] * [tex]y^{-4[/tex] / -15 * [tex]w^{-8[/tex] * [tex]y^4[/tex]
= (-5 / -15) * ([tex]w^8[/tex] / [tex]w^{-8[/tex]) * ([tex]y^{-4[/tex] / [tex]y^4[/tex])
= 1 * [tex]w^{16[/tex] * [tex]y^0[/tex]
= [tex]w^{16[/tex]
Therefore, the simplified expression is w^16.
Here is a breakdown of the steps involved in the simplification:
The powers of w and y are combined using the distributive property of exponents.
The negative exponents are changed to positive exponents by dividing by the same base raised to the power of the negative exponent.
The factors of 5 and 15 are simplified.
The common factors of w and y are simplified.
To learn more about expression here:
https://brainly.com/question/12909556
#SPJ2
(8th grade. 4.4 Practice A.)PLEASE HELP!! what's the answer to all the CIRCLED questions. 85 points!!!
Answer:
1. is Line C
2. is line A
(slope, y-intercept)
4. (1, 4)
6. (-5/7, -2)
8. (6, 2)
9. (1/2, -7)
10.
a) you've already done this
b)-4200
c)21000
d) 5
11.
draw a line between the intercepts and add arrows to each end to graph the line easily
y- intercept is -6 ( at 0, -6)
x intercept is 2 ( at 2, 0)
Complementary angles are 2 angles with a sum of 90.
Answer:
Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.
Easy Question>>?????????????help
Answer:
thanswer to this is...................
Step-by-step explanation:
unknown
or 148 degrees
Answer:
148 degrees... if it's so easy then why u couldn't u answer it
Question 2
2 pts
Use the midpoint formula to find the midpoint of the line segment AB. Show your work for
full credit.
Given (4,8) and B(14,-2)
HTML Editore
Answer:
[tex]M = (9,3)[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (4,8)[/tex]
[tex](x_2,y_2) = (14,-2)[/tex]
Required
Find the midpoint (M)
The midpoint is calculated as follows:
[tex]M = (\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2))[/tex]
Substitute values for x's and y's
[tex]M = (\frac{1}{2}(4+14),\frac{1}{2}(8-2))[/tex]
[tex]M = (\frac{1}{2}(18),\frac{1}{2}(6))[/tex]
[tex]M = (\frac{1}{2}*18,\frac{1}{2}*6)[/tex]
[tex]M = (9,3)[/tex]
Hence, the midpoint is (9,3)
Jen has 81 beads. Ana has 44 red beads and 29 blue beads.
How many more beads does Ana need to have 81 beads also?
Ana needs
more beads to have 81 beads.
Three sisters purchased treats at a bake sale. The oldest sister spent $2.70 on brownies. The middle sister spent four times as much on cookies as the older sister spent on brownies. The youngest sister spent $3.68 less on a cake than the middle sister spent on cookies. How much did each sister spend?
Answer:
the oldest sister spent 2.70$ (given)
the middle sister spent 10.80$
and the youngest sister spent 7.12$
Step-by-step explanation:
A population of insects increases at the rate of 200 10t 13t2 what is the change in the population of insects between day 0 and day 3
Answer:
762 days
Step-by-step explanation:
Given
[tex]Rate = 200 + 10t + 13t^2[/tex]
Let the rate be R.
So the rate change with time is represented as:
[tex]\frac{dR}{dt} = 200 +10t + 13t^2[/tex]
So:
[tex]dR = (200 + 10t + 13t^2)\ dt[/tex]
To get the number of insects between day 0 and day 3, we need to integrate dR and set the bounds to 0 and 3
i.e.
[tex]dR = (200 + 10t + 13t^2)\ dt[/tex] becomes
[tex]\int\limits^3_0 {dR} \, =\int\limits^3_0 (200 + 10t + 13t^2)\ dt[/tex]
[tex]R =\int\limits^3_0 (200 + 10t + 13t^2)\ dt[/tex]
Integrate
[tex]R = 200t + \frac{10t^2}{2} + \frac{13t^3}{3} [3,0][/tex]
Solve for R by substituting 0 and 3 for t
[tex]R = (200*3 + \frac{10*3^2}{2} + \frac{13*3^3}{3}) - ( 200*0 + \frac{10*0^2}{2} + \frac{13*0^3}{3})[/tex]
[tex]R = (200*3 + \frac{10*9}{2} + \frac{13*27}{3}) - (0 + \frac{10}{2} + \frac{0}{3})[/tex]
[tex]R = (200*3 + 5*9 + 13*9) - (0)[/tex]
[tex]R = 600 + 45 + 117 - 0[/tex]
[tex]R =762[/tex]
The population of insect between the required interval is 762
The required change in the population of insects between day 0 and day 3 is 762.
Given that,
A population of insects increases at the rate of 200++ 10t + 13t2.
We have to determine,
What is the change in the population of insects between day 0 and day 3.
According to the question,
The rate change with time is represented as:
[tex]\frac{dr}{dt} = 200+10t+13t^{2}[/tex]
To determine the change in the population of insects between day 0 and day 3,
Integrating the given function with respect to time with limit 0 days to 3 days.
[tex]\int\limits^3_0 dr = \int\limits^3_0 (200+10t+13t^{2} ). dt\\\\\int\limits^3_0dr =\int\limits^3_0 \, 200dt + \int\limits^3_0 10tdt +\int\limits^3_0{13t^{2} dt\\\\\\\\R = [200t]^3_0 + [5t^{2} ]^3_0 + [\frac{13t^{3} }{3} ]^3_0\\\\R = 200[(3) - (0)] + 5 (3^{2} - 0^{2} ) + \frac{13}{3} [ 3^{3} - 0^{3} ]\\\\R = 200(3) + 5 (9) + \frac{13}{3}(27)\\\\R = 600+45+117\\\\R = 762[/tex]
Hence, The required change in the population of insects between day 0 and day 3 is 762.
To know more about Rate change click the link given below.
https://brainly.com/question/24540629
Please let me know if you guys can get this.!
Answer:
c
Step-by-step explanation:
The price of a technology stock has dropped to $9.71 today. Yesterday's price was $9.80. Find the percentage decrease.
Answer:
The percentage decrease = 0.9%
Step-by-step explanation:
Initial value = $9.80Final value = $9.71Using the formula
Percentage Decrease = [ (Initial Value - Final Value) / |Initial Value| ] × 100
= [(9.80 - 9.71 ) / (9.80)] × 100
= [0.09 / 9.80] × 100
= 0.009 × 100
= 0.9%
Therefore, the percentage decrease = 0.9%
HELPPPPPPPPPPP PLEASEEEEEEE!!!!!!!!
please help me asap
Answer:
6
Step-by-step explanation:
s=9, t=12
2s-t = 2*9 -12 = 18 -12 = 6
Answer:
the answer is 6
Step-by-step explanation:
Because you do 2 times 9 = 18 then 18 - 12 = 6
Write an equation of the line that passes through a pair of points: (-4, -3), (-3, 1)
a. y = 4x -13)
b. y = -4× 13)
c. y = 4x +13)
d. y = 4x -1/13
Answer:
C. y=4x+13
Step-by-step explanation:
To solve this equation first find the slope. Do this by using the slope formula, m=[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], so plug in the points[tex]\frac{1+3}{-3+4}[/tex] which equals 4/1 or 4. Since now we know the slope is 4 we can put the equation into slope-point form, I will be using (-4,-3) for this equation. y+3=4(x+4), then solve for y. After solving you get y=4x+13.
need answer for number 2
Answer:
9x^6 over 4y^8
Step-by-step explanation:
Answer:
E. 9x^6 / 4y^8
Step-by-step explanation:
Use exponent rule: a^-b = 1/a^b
In right triangle ABC, ZCis a right angle and sin A= sin B. What is mZA
Answer:
∠A = 45°
Step-by-step explanation:
It is given that,
sin A = sin B
∠C is a right angle.
If sin A = sin B, it means
sin 45 = sin 45 = [tex]\dfrac{1}{\sqrt2}[/tex]
It means that angle A and angle B is 45 degrees.
what number should be placed in the Box to complete the division calculation
Answer:
Umm !! it's 260
Step-by-step explanation:
Hope I'm right ?!!!!?!??
Just tell me if these soccer balls show a reflection. Its for a math assignment i just need to know if this shows a reflection
Answer: Yes
Step-by-step explanation:
Answer:
yesh it does :>
Step-by-step explanation:
gustavo ronaldo says, if you subtract 11 from my number and multiply the difference by -3, the result is -51 . what is s number?
Answer:
28
Step-by-step explanation:
-3 * (x-11) = -51
x-11 = 17
x = 28
Please determine x.
Answer:
x = 15
Step-by-step explanation:
137+28=165
All angles in a triangle add up to 180
So 180-165 = 15
15 = x
What is the unit rate of 15 laps in 3 days
Answer:
the answer to that is 5 laps per day
Step-by-step explanation:
15 laps ÷ 3
3 days ÷3
5 laps
=
1 day
5 laps=days
Which two lines are parallel?
5y = 2x-5
5y = 4 +3x
5y-3x = -1
O No two of the lines are parallel.
O I and III
O II and III
O land I
Given:
The equations are
[tex]5y=2x-5[/tex]
[tex]5y=4+3x[/tex]
[tex]5y-3x=-1[/tex]
To find:
The two parallel lines.
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
Isolate variable y in each of the given equations, to get the slope intercept form of the lines.
The slope intercept forms of given lines are
[tex]y=\dfrac{2}{5}x-1[/tex]
[tex]y=\dfrac{4}{5}+\dfrac{3}{5}x[/tex]
[tex]y=-\dfrac{1}{5}+\dfrac{3}{5}x[/tex]
On comparing these equations with slope intercept form, we get
Slope of I line = [tex]\dfrac{2}{5}[/tex]
Slope of II line = [tex]\dfrac{3}{5}[/tex]
Slope of III line = [tex]\dfrac{3}{5}[/tex]
Slope of parallel lines are equal. So, lines II and III are parallel because their slopes are equal.
Therefore, the correct option is C.
Question 5 6 pts Alanis goes to work with her father. He gives out the paychecks to the employees at his company. Alanis notices that one man worked 31.25 hours for the week, and he was paid $9.20 per hour. How much was the man's paycheck? O A. $270.00 O B. $287.50 c. $1 150.00 O D. $1,437.50 Question 6 6 pts
One professor grades homework by randomly choosing 5 out of 14 homework problems to grade.
(a) How many different groups of 5 problems can be chosen from the 14 problems?
(b) Probability extension: Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded? (Round your answer to four decimal places.)
(c) Silvia did 7 problems. How many different groups of 5 did she complete? What is the probability that one of the groups of 5 she completed comprised the group selected to be graded? (Round your answer to four decimal places.)
Answer:
a) 2002 different groups of 5 problems can be chosen from the 14 problems.
b) P=0.04995%
c) 21 different groups of 5.
P=1.04895%
Step-by-step explanation:
a)
In order to solve this problem we must ask ourselves: Does the order matter? We can see that in this case the order in which the problems are chosen doesn't really matter, so we are talking about a combination:
[tex]_{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex]
in this case, n=14 while r=5, so our combination will be:
[tex]_{14}C_{5}=\frac{14!}{5!(14-5)!}[/tex]
which yields:
[tex]_{14}C_{5}=2002[/tex] which will be the answer for part a.
b)
In order to find the probability we can use the probability formula:
[tex]Probability=\frac{desired \hspace{5}outcome}{number\hspace{5} of \hspace{5} possible \hspace{5} outcomes}[/tex]
so in this case there is only 1 desired outcome out of the 2002 possible outcomes so our probability is:
[tex]P=\frac{1}{2002}[/tex]
which is the same as:
P=0.04995%
c) The same applies to part c. In order to find the number of groups Silvia did, we can make us of the combination formula:
[tex]_{7}C_{5}=\frac{7!}{5!(7-5)!}[/tex]
which yields:
[tex]_{14}C_{5}=21[/tex]
so there are 21 different groups of 5 she did by solving 7 problems.
So we can use the same formula to find the probability that one of the groups she completed comprised the group selected to be graded so we get:
[tex]P=\frac{21}{2002}=\frac{3}{286}[/tex]
which is the same as:
P=1.04895%
(remember that in order to turn a decimal number into a percentage you need to multiply the decimal number by 100)
a
100 cm²
b
9 cm²
c
225 cm²
d
28.26 cm²
Answer:
28.26 cm^2
Step-by-step explanation:
A = (pi)r^2
A = 3.14 * (3 cm)^2
A = 3.14 * 9 cm^2
A = 28.26 cm^2
an art collector bought 20 paintings at an art fair, and wants to know the average price of the paintings ahe purchased at the fair. She adds the prices of all the paintingsand dividesthis number by 20 to find an average price of $3550. Is this price a sample mean or a population mean, and which symbol would be used to donate it?
Answer:
The calculated mean price is a sample mean and it is denoted by x.
Step-by-step explanation:
Given that
Mean price of paintings = $3550
Number of paintings = 20
In order to decide whether it is a population mean or a sample mean we have to understand the terms first.
Population:
Population is the overall collection from which a sample or observations are taken.
Sample:
The small or less number of observations that we take from a large population to perform data analysis is called sample.
In the given scenario, all the paintings at the art fair are population while the number of paintings that the art collector bought is a sample.
Hence,
The calculated mean price is a sample mean and it is denoted by x.
Select the graph for the solution of the open sentence. Click until the correct graph appears.
|x - 1| < 4
Answer:
x < 5
x > -3
Step-by-step explanation:
I didn't see the graph you mentioned, but this is the graph I did.
|x - 1| < 4
x-1 < 4 , -(x-1) < 4
x < 5
x > -3
who was Queen Elizabeth 1
George has 28 tomato seedlings. He wants to put them into 7 equal groups to sell. Which number sentence could be used to find the number of seedlings in each group
Answer:
4
Step-by-step explanation:
7+7+7+7 or 28/7 =4