5. Solve the following system using Gauss-Jordan Elimination. Indicate all row
operations and show all steps.
3x + 4y + 2z = 3
4x – 2y - 8z = -4
x + y - z= 3
Answer:
(-3,4,-2)
Step-by-step explanation:
Answer:
x=0
Step-by-step explanation:
According to the eScience Lab Manual for Lab 1, Experiment 3, you need to prepare 65 ml of 60% soda/syrup prescription. To do this you can use the 80% soda solution and the syrup solution (0% strength) that you have in inventory. How many mls of soda solution do you need to create this final solution?
Answer:
16.25 mL
Step-by-step explanation:
Since we are mixing from the syrup in the inventory, we can say that the syrup in the inventory must be equal to that in the final solution. Thus, we will use the dilution equation to solve for the Initial volume;
Dilution equation is;
V₁C₁ = V₂C₂
Where;
V₁ is initial volume
C₁ is initial concentration or initial molarity
V₂ is final volume
C₂ is final concentration of final molarity
We are given;
C₁ = 80% = 0.8
C₂ = 60% = 0.6
V₂ = 65 mL
Making V₁ the subject in the dilution equation, we have;
V₁ = (V₂C₂)/C₁
V₁ = (65 × 0.6)/0.8
V₁ = 48.75 mL of inventory syrup
Since we have 48.75 mL of inventory syrup and the dilute solution is 65 ml, then the volume of soda solution required = 65mL - 48.75 mL = 16.25 mL
Yuri earns a 12% commission on all of his sales. He sold $4,720 in
merchandise last week. How much was Yuri's commission last week?
Answer: $566.40 ($5,286.40 in total)
Step-by-step explanation: This is a multiplication problem. You multiply .12 by 4,720.
(also, i'm doing your math instead of mine in my math class, so you're welcome)
A random sample of 8 Samsung Galaxy smartphones being sold over the Internet in 2013 had the following prices, in dollars:
249 349 299 249 149 135
199169
Assume the population standard deviation is alpha = 85.
If appropriate, construct a 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013.
Answer:
The 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is between $140.39 and $309.11
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]S_{m} = \frac{249+349+299+249+149+135+199+169}{8} = 224.75[/tex]
Confidence interval:
We have the standard deviation for the population, so the z-distribution is used.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.995}{2} = 0.0025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.0025 = 0.9975[/tex], so Z = 2.807.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.807\frac{85}{\sqrt{8}} = 84.36[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 224.75 - 84.36 = $140.39
The upper end of the interval is the sample mean added to M. So it is 224.75 + 84.36 = $309.11
The 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is between $140.39 and $309.11
PLSSS HELP ME thanks :))
that's all , all the best
f(x) = 2x2 - 5
and
g(x) = 5x + 7
Find
f(g(x)) = [ ? ]x2 + [ ]x +
Answer:
See below
Step-by-step explanation:
What you need to do is put g(x) in for 'x' of f(x)
f(g(x) = 2(5x+7)^2 -5
2 ( 25x^2 + 70x + 49) - 5
= 50x^2 + 140x + 93
moby max help help help help
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she descended 75.3 feet. How many feet had she been below sea level, if she was 154.6 feet below sea level after she descended?
Determite weather the ordered pair is a solution of the linear equation x=y+1/2;(-5,-2)
Answer:
(y+1/2 ; y)
Step-by-step explanation:
hello : all ordered pair is a solution of the linear equation x=y+1/2;(-5,-2) is :
(y+1/2 ; y)
(-5 ; -2) is not solution because y = -2 but -2+1/2 = -3/2 no -5
Can someone help me find the answer.
best answer gets brainiest
Answer:
y = 45
Step-by-step explanation:
2y+1+y+112+112=360
3y+225=360
3y=135
y=45
Answer: I put it in my calendar and i got 45 hope this helps
Step-by-step explanation:
pleas make brainly
write the log equation as an exponential equation
Answer:
[tex] \displaystyle {9}^{2x - 1} = 2[/tex]
Step-by-step explanation:
we are given a logarithmic equation
[tex] \displaystyle \log_{9}(2) = 2x - 1[/tex]
we want to rewrite it as exponential equation
remember that,
[tex] \displaystyle\log_{a}(b) = c \iff {a}^{c} = b[/tex]
here our a is 9,b is 2 and c is 2x-1
altogether
our exponential equation is
[tex] \displaystyle {9}^{2x - 1} = 2[/tex]
and we're done!
What are the new vertices of quadrilateral ABCD if the quadrilateral is reflected across the x-axis?
Question 12 options:
A)
A′ = (–5,–4), B′ = (–5,2), C′ = (–1,5), D′ = (–1,–2)
B)
A′ = (–4,–5), B′ = (2,–5), C′ = (5,–1), D′ = (–2,–1)
C)
A′ = (4,5), B′ = (–2,5), C′ = (–5,1), D′ = (2,1)
D)
A′ = (4,–5), B′ = (–2,–5), C′ = (–5,–1), D′ = (2,–1)
Answer:
C.
Step-by-step explanation:
Which statement is true?
A. All squares are similar to each other
B. All rectangles are similar to each other
C. All squares are similar to each other, and all rectangles are similar to each other
D. None is true
2. Gabriel buys a plastic pencil case as shown. SHOW YOUR WORK.
What is the surface area of the pencil case?
A. 924 cm?
C. 1,104 cm
B. 984 cm
D. 1,440 cm
Answer:
B) SA = 984 cm²
Step-by-step explanation:
SA = (2 x 13 x 24) + (10 x 24) + (10 x 12) = 984 cm²
Which are correct representation of the inequality minus 32X -5 less than 52 minus X select two options
Answer:
The value of X is more than equal to -1.83.
Step-by-step explanation:
We need to find the correct representation of the inequality 'minus 32X -5 less than 52 minus X'
LHS of the inequality will be : -32x-5
RHS of the inequality will be : (52-X)
So,
[tex]-32X-5\leq 52-X[/tex]
Adding X both sides
[tex]-32X-5+X\leq 52-X+X\\\\-31X-5\leq 52[/tex]
Adding 5 to both sides,
[tex]-31X-5+5\leq 52+5\\\\-31X\leq 57[/tex]
Dividing both sides by -31.
[tex]X\geq \dfrac{-57}{31}\\\\X\geq -1.83[/tex]
So, the value of X is more than equal to -1.83.
The Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12
years old for its performances. On a recent weekend evening when 551 people
paid admission, the total receipts were $ 9290. How many who paid were
children under 12 years old?
Let A = number of adult tickets, let C = number of child tickets
1. Using the variables A and C, write a system of linear equations that reflect the
above problem.
2. Solve the system of equations for both A and C.
3. How many tickets sold were for children under 12?
Answer:
197 adult tickets and 354 child tickets were sold for the event.
Step-by-step explanation:
Given that the Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12 years old for its performances, and on a recent weekend evening when 551 people paid admission, the total receipts were $ 9290, to determine how many who paid were children under 12 years old the following calculation must be performed:
22 - 14 = 8
551 x 14 = 7.714
9,290 - 7,714 = 1,576
1,576 / 8 = 197
551 - 197 = 354
197 x 22 + 354 x 14 = X
4.334 + 4.956 = X
Therefore, 197 adult tickets and 354 child tickets were sold for the event.
An account earns simple interest.
$1675 at 4.6% for 4 years
a. Find the interest earned.
$
b. Find the balance of the account.
$
a. The interest earned is $307.40.
b. The balance of the account after 4 years is $1982.40.
What is simple interest?Simple interest is a type of interest that is calculated only on the principal amount of a loan or investment. It is a fixed percentage of the principal amount that is added to the loan or investment balance over a specified period of time.The formula for simple interest is:
I = P * r * t
What is principal?In finance, the term "principal" usually refers to the initial amount of money that is borrowed or invested, excluding any interest or other fees that may be added on later.
In the given question,
a. To find the interest earned, we can use the formula:
Interest = Principal x Rate x Time
where Principal is the initial amount of money, Rate is the interest rate, and Time is the duration of the investment. Plugging in the given values, we get:
Interest = $1675 x 0.046 x 4
Interest = $307.40
Therefore, the interest earned is $307.40.
b. To find the balance of the account, we simply add the interest earned to the initial amount:
Balance = Principal + Interest
Balance = $1675 + $307.40
Balance = $1982.40
Therefore, the balance of the account after 4 years is $1982.40.
To know more simple interest, visit:
https://brainly.com/question/30824126
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Please can y’all help. I’m terrible at maths.
Answer:
x = 49°, and y = 63°
Step-by-step explanation:
Starting with x, you can see that it is in a corner where two lines cross each other. That means that x is equal to the angle on the other side of that intersection, which we are given. x then, is equal to 49°
And with y, You'll notice that is formed with two lines, a horizontal one and and a diagonal one. At he bottom of the shape you can see another horizontal one intersecting with the same diagonal one. Notice also that the two lines use the ">" symbol, noting that the lines are parallel. Because those lines are parallel, the angles between each of those and the diagonal one are the same. This tells us that y is equal to 63°
Johann uses 42 ÷ 7 to represent the number of players who are on teams. Explain what 42 ÷ 7 means. Enter a number in each box. 42 ÷ 7 means that [blank] players are on teams in all and that each team has [blank] players.
WHICH HAT HELP THANK YOU WHICH HAT HELP THANK YOU
Answer:
They're both cool but I personally like the first one better lol
How many different passwords can be made if it is three letters, followed by two digits, followed by a letter?
(Repetition is allowed.) Use the fundamental counting principle.
Infinitely many passwords can be made.
There are 45,697,600 different passwords.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Since, Fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent,
Then, there are p x q ways to do both things.
Hence, In this question:
3 letters, each with 26 possible options(ways).
Two digits, each with 10 possible options.
One digit, with 26 possible options.
And, Each digit/letter is independent,
Thus, Number of ways are;
26 x 26 x 26 x 10 x 10 x 26 = 45,697,600
Thus, There are 45,697,600 different passwords are possible,
Learn more about the multiplication visit:
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Please help I really need now
a 713
498
215
hope it will help
The required missing values are 6, 0, and -5 respectively in the sum (a).
The required missing values are 4, 11, and -4 respectively in the sum (b).
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Let the missing terms x, y and y in the given sum,
_ x , 1 , 3
4 , y , 8
_________
2 1 z
As per the fundamental algebra,
x - 4 = 2 | 1 - y = 1 | 3 - 8 = z
x = 2 + 4 | y = 1 - 1 | z = -5
x = 6| y = 0 | z = -5
Let the missing terms a, b, and c in the given sum,
_ 7 , b , 5
a , 3 , 9
_________
3 8 c
As per the fundamental algebra,
7 - a = 3 | b - 3 = 8 | 5 -9 = c
a = 7 - 3 | b = 8 + 3 | c = 5 - 9
a = 4 | b = 11 | c = -4
Thus, the required missing values are 6, 0, and -5 respectively in the sum (a). The required missing values are 4, 11, and -4 respectively in the sum (b).
To learn more about the Algebra link is given below.
brainly.com/question/953809
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What is the perimeter of this tile? inz 10 in. 8 in. 6 in.
Answer:
24 in
Step-by-step explanation:
Perimeter is the sum of all side lengths
10 in + 6 in + 8 in = 24 in
24 in is the perimeter
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
1
What is the measure of A?
The measure of A is: 78°
Help please I need the answer please don’t give link
Answer:
10 and 12
Step-by-step explanation:
the LCM of 10 and 12 is 60
10 and 12 have 2 as the least common factor between them
7) Halogen lightbulbs last an average of 4,500 hours. If a particular
lightbulb is used 10 hours per day, how many days can it be expected to
last? *
Answer:
450 days
Step-by-step explanation:
4500/10 = 450 days
Jenny has five exam scores of 79,66, 71, 89, and 84 in her biology class. What score does she need on the final exam to have a mean grade of 80?
Round your answer to two decimal places, if necessary. (All exams have a maximum of 100 points.)
Answer:
she needs to get a 99
Step-by-step explanation:
Answer: 76.34
Step-by-step explanation:
79.66 + 71 + 89 + 84 + 76.34 = 400/5 = 80
What is the value of the expressions
1. 7 (3+5) = ____ + _____
2. 15 - 10 = ____ (3-2)
Answer:
answer is below
Step-by-step explanation:
1. 7 (3+5) = 21+ 35
2. 15 - 10 = 5(3-2)
I need help with this!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
12. The first attachment has the rate of change on each interval. (It is listed at the end of the interval.) It is computed by dividing the difference in length by the corresponding difference in months. The units of rate of change are inches per month.
The baby was growing fastest in the first 3 months.
__
13. The first attachment has the rate of change on each interval. It is computed by dividing the difference in height by the corresponding difference in seconds. The units of rate of change are meters per second. A negative number indicates the elevator is going down.
The second attachment shows a graph of the distance versus time.
_____
I find it convenient to let a spreadsheet do repetitive calculations. I can enter the formula once and copy it where needed. I don't have to worry about the accuracy of the arithmetic, and the result can be formatted to suit the problem requirements. (The basics of most spreadsheet programs can be learned in a few minutes.)
Solve for h.........
the answer is h = -8.2