Answer:
x1 = t, x2 = -t and x3 = 0
Step-by-step explanation:
Given the system of equation
x1 + x2 + x3 = 0 .... 1
x1 + x2 + 9x3 = 0 .... 2
Subtract both equation
x3 - 9x3 = 0
-8x3 = 0
x3 = 0
Substitute x3 = 0 into equation 1
x1 + x2 + 0 = 0
x1+x2 = 0
x1 = -x2
Let t = x1
t = -x2
x2 = -t
Hence x1 = t, x2 = -t and x3 = 0
The sides of a triangle have lengths 10, 16, and 18. What kind of triangle is it?
is it acute right or obtuse ?
I have like 20 minutes to finish this
Step-by-step explanation:
[tex]6.[/tex]
[tex] \frac{1}{2} = \frac{1.5}{3} \: \: \: \: \: Less \: \: Than \: \frac{2}{3} [/tex]
[tex] \frac{8}{12} = \frac{2}{3} \: \: \: \: \: Equal \: \: To \: \frac{2}{3} [/tex]
[tex] \frac{3}{8} = \frac{1.125}{3} \: \: \: \: \: Less \: \: Than \: \frac{2}{3} [/tex]
[tex] \frac{10}{15} = \frac{2}{3} \: \: \: \: \: Equal \: \: To \: \frac{2}{3} [/tex]
[tex] \frac{4}{5} = \frac{2.4}{3} \: \: \: \: \: Greater \: \: Than \: \frac{2}{3} [/tex]
[tex] \frac{9}{10} = \frac{2.7}{3} \: \: \: \: \: Greater \: \: Than \: \frac{2}{3} [/tex]
[tex]7.[/tex]
[tex]Kenny = \frac{1}{8} [/tex]
[tex]Gail = \frac{2}{4} [/tex]
[tex] \frac{1}{8} ? \frac{2}{4} [/tex]
[tex]\frac{1}{8} ? \frac{2 \times 2}{4 \times 2} [/tex]
[tex] \frac{1}{8} < \frac{4}{8} [/tex]
[tex] \frac{1}{8} < \frac{2}{4} [/tex]
[tex]Gail \: \: ate \: \: more \: \: than \: \: Kenny[/tex]
A rectangular park is 100 yards wide and 150 yards long.
Give the length and width of another rectangular park that has the same perimeter but a larger area.
Please help me
Answer:
ok
Step-by-step explanation:
At which value in the domain does f(x) = 0?
Answer: C (x=1)
Step-by-step explanation:
f(x)=0 at points of intersection of the graph of the function with x-axis.
The graph of the function intersects x-axis at three points:
somewhere between -3 and -2;
somewhere between -1 and 0;
at x=1.
Since x=1 is the value of x from the domain, then correct choice is option C.
Help me !!!
!!
!!
!!
Answer:
They would weigh 47.5 pounds on the moon or if you want to use kilograms it would be 21.5 kilograms.
Step-by-step explanation:
Pound way If you want to find the answer in pounds you first want to add 175 and 110 to get 285. Next you divide it by 6 because you want to find 1/6 of it and you should get 47.5 pounds.
Kilogram way If you want to find the answer in kilograms you would first add 79 and 50 to get 129. After you find that, you would divide it by 6 because you want to find 1/6 of it. You should get 21.5 so 21.5 kilograms would be your answer.
I apologize if I made any mistakes.
Which relationships describe angles 1 and 2 ?
select each correct answer
-complementary angles
-vertical angles
-supplementary angles
-adjacent angles
The value of the expression 2(3) +3(2)–3x4–5(2)-5+(7x4) is
or
the value of 2 to the 3rd power + 3 to the second power - 3 * 4 - 5 to the second power divided by 5 + (7 * 4)
Answer: 28
When you simplify it down, you get:
8 + 9 - 12 - 5 + 28.
When you combine all like terms, you get 28.
Also, proof is shown in the image below.
The value of the expression 2³ + 3² – 3 x 4 – 5² ÷ 5 + (7 x 4) using PEMDAS rule is 28.
We have,
Expression:
2³ + 3² – 3 x 4 – 5² ÷ 5 + (7 x 4)
Using the PEMDAS rule.
Remove the parenthesis.
2³ + 3² – 3 x 4 – 5² ÷ 5 + 28
Simplify the exponents such as 2³, 3², and 5².
8 + 9 - 3 x 4 - 25 ÷ 5 + 28
Simplify the multiplication such as 3 x 4.
8 + 9 - 12 - 25 ÷ 5 + 28
Simplify the division such as 25 ÷ 5.
8 + 9 - 12 - 5 + 28
Simplify the addition and subtraction.
28
Thus,
The value of the expression is 28.
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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 421 gram setting. It is believed that the machine is underfilling the bags. A 21 bag sample had a mean of 416 grams with a standard deviation of 29. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
Zstatistic < Zcritical ; then we reject the null
-0. 790 > - 1.96
Hence, we fail to reject the Null
Step-by-step explanation:
Define the null and alternative hypothesis :
H0 : μ = 421
H1 : μ < 421
Given that :
Sample mean (x) = 416
Sample standard deviation, s = 29
α = 0.025
Sample size, n = 21
This is a lef tailed teast, hence if ;
Decision Rule :
Zstatistic < Zcritical ; then we reject the null
Zcritical at α = 0.025 (1 tailed) = - 1.96
Zstatistic = (x - μ) s/sqrt(n)
(416 - 421) / 29/sqrt(21)
Zstatistic = - 5 / 6.3283188
Zstatistic = - 5 / 6.3283188 = - 0.79
-0. 79 > - 1.96
Hence, we fail to reject the Null
How many groups of 10 are in 60?
Answer:
6
Step-by-step explanation:
10, 10, 10, 10, 10, 10. Those are 6 tens
The coordinates below are the three vertices of a rectangle. Identify the fourth
coordinate and the area of the rectangle.
(4 points
O 07.21.45 units squared
O 12.7).45 units squared
O 07.21.28 units squared
O 12.7). 28 units squared
Answer:
(7,2)
45 units squared
Step-by-step explanation:
In order for the shape to be a rectangle the last vertex (lets call it D) must be the same vertical distance from C as A is from B (DC=AB), and the same horizontal distance from A as B is from C (AD=BC).
AB=DC=5
-3+5=2
BC=AD=9
-2+9=7
Therefore D is (7,2)
We already know the side lengths (5 and 9). Area is length by width. Therefore area = 5x9=45
what is the sum of 4x+4 and 4x^2-10x-4
Answer:
1. 4(x+1)
2. 2(2x2−5x−2)
Jenny planned to solve 2/3 of her homework problems on Saturday. However, she got home late and had less time than planned. As a result, she solved only 7/8 of the problems she planned to solve. How many problems were in Jenny's homework if she solved 28 on Saturday?
Answer:
48 problemsStep-by-step explanation:
Jenny planned to solve 2/3 of homework
On Saturday she solved 28 problems, which is 7/8 of the planned number
Planned number is:
28 : 7/8 = 28 * 8/7 = 32 problemsJenny's homework was:
32 : 2/3 = 32 * 3/2 = 48 problemsAnswer:
48 problems
Step-by-step explanation:
trust me, I do RSM too.
6 more than a quotient of nine and a number p
Answer:
9/p+6
Step-by-step explanation:
What is the solution to this system of equations?
Answer:
The fourth option i.e. 'no solution' is correct.
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}[/tex]
Adding both equations
[tex]-\frac{2}{3}x-y=2[/tex]
[tex]+[/tex]
[tex]\underline{\frac{2}{3}x+y=6}[/tex]
[tex]0=8[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}[/tex]
0 = 8 is FALSE!
Therefore, the system of equations has no solution.
Thus,
No Solution!
Hence, the fourth option i.e. 'no solution' is correct.
Plz help I will mark barinlest
Answer: try -2
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
If we use PEMDAS, we know that we need to do the multiplication and division first. (1/2)^4 is equal to 1^4/2^4, which is 1/16. Next, 1/16 * 32 is equal to 2. Finally, we do 6 divided by 3, which is 2. 2 - 2 is equal to 0, so the answer is 0.
Help plz:)))I’ll mark u Brainliest
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
We can write a proportion relating the short segment to the full length:
(x+1)/18 = 4/(4+5)
x +1 = 8 . . . . . . multiply by 18 and simplify
x = 7 . . . . . . . . subtract 1
A sample survey of 62 discount brokers showed that the mean price charged for a trade of 100 shares at $50 per share was $31.22. The survey is conducted annually. With the historical data available, assume a known population standard deviation of $19. (a) Using the sample data, what is the margin of error in dollars associated with a 95% confidence interval? (Round your answer to the nearest cent.) $ (b) Develop a 95% confidence interval for the mean price in dollars charged by discount brokers for a trade of 100 shares at $50 per share. (Round your answers to the nearest cent.) $ to $
Answer:
a) The margin of error associated with a 95% confidence interval is of $4.73.
b) $26.49 to $35.95
Step-by-step explanation:
Question a:
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{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
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 = 1.96*\frac{19}{\sqrt{62}} = 4.73[/tex]
The margin of error associated with a 95% confidence interval is of $4.73.
Question b:
The lower end of the interval is the sample mean subtracted by M. So it is 31.22 - 4.73 = $26.49
The upper end of the interval is the sample mean added to M. So it is 31.22 + 4.73 = $35.95
So $26.49 to $35.95
Here are some equations that contain a variable and a list of values. Think about what each equation means and find a solution in the list of values. If you get stuck, draw a diagram. Be prepared to explain why your solution is correct.
1000−a=400
12.6=b+4.1
8c=8
2/3d=109
10e=1
10=0.5f
0.99=1−g
h+37=1
Answer:
1.) a=600
2.)b=8.5
3.)c=1
4.)d=163.500
5.)e=0.1
6.)f=20
7.)g=0.010
8.)h=-36
Step-by-step explanation:
4x – 3y = 18
Determine the missing coordinate in the ordered pair (5, ?) so that it will satisfy the given equation.
Answer:
Step-by-step explanation:
when x=5, 4(5)-3y=18
3y=2
y=2/3
The coordinate would be(5,2/3)
Eva earned the following test scores in science: 82, 100, 96, 90, 91 Ms. Wade entered the next score as 0 because Eva was absent on test day and hadn’t had a chance to make up the test. Which statements are true based on the data? Check all that apply. After adding the 0 test score, the mean would be the most appropriate measure of center to describe the data. After adding the 0 test score, the mean would be affected. After adding the 0 test score, the median would be the most appropriate measure of center to describe the data. Before the missed test, Eva’s median score was 96. Before the missed test, Eva’s median score was 91. Before the missed test, Eva’s mean score was 91.8.
Answer:
2,3,5,6
Step-by-step explanation:
Answer:
2,3,5,6 just did test and im from future edge 2023
Step-by-step explanation:
Help on No. 4 plz..............
Answer:
12Step-by-step explanation:
to understand thisyou need to know about:similarityPEMDASgiven:scale factor:2:5SV:30TIPS AND FORMULAS:SV~QRlet's solve:according to the question
[tex]step - 1 : define[/tex]
[tex] \frac{2}{5} \times 30[/tex]
[tex]step - 2 : simplify[/tex]
[tex] \frac{60}{5} [/tex]
[tex] \huge 12[/tex]
A boat can travel 228 miles on 19 gallons of gasoline. How much gasoline will it need to go 204 miles?
Question Help
Mia has 28 stamps. Alex has 49 stamps, and Michael has 77 stamps. Use the GCF and the
Distributive Property to find the total number of stamps Mia, Alex, and Michael have.
Write each number as a product using the GCF as a factor, and apply the Distributive Property
28 +49 +77 = 0
(Use the operation symbols in the math palette as needed. Do not simplity)
3
More
Enter your answer in the answer box and then click Check Answer
Clear Al
C
1
remaining
Answer:
a. Using the GCF and the Distributive Property to find the total number of stamps Mia, Alex, and Michael have:
28 + 49 + 77 = 154
= 7*4 + 7*7 + 7*11
= 7 (4 + 7 + 11)
= 7 (22)
= 154
Step-by-step explanation:
a) Data and Calculations:
Number of stamps that Mia has = 28
Number of stamps that Alex has = 49
Number of stamps that Michael has = 77
GCF = 7
b) GCF = Greatest common factor. The distributive property shows that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products. The knowledge of GCF and the distributive property helps to change expressions from standard forms to factored forms.
Plz guys help me plz
Answer:
option d 11 .......substitute 2 inplace of x
A merry go round rotates 2808 degrees per ride. How far would a rider seated 8 feet from the center of the merry go round travel during the ride?
Answer:
Step-by-step explanation:
2880° per ride doesn't make sense, because it is not a whole number.
Do you mean 2880° per ride?
r = 8 feet
circumference = 2πr = 16π feet
2880° × (16π feet)/(360°) = 128π feet ≅ 402 feet
A rider seated 8 feet from the merry-go-center round would travel 392.2 feet during the ride.
What is circumference?The circumference is the distance that surrounds a circle. We can measure the circumference of the earth by measuring the distance that we will have to walk all the way around the world.
Given, A merry go round rotates 2808 degrees per ride. A rider is seated 8 feet from the center.
Thus r = 8 feet
Circumference = 2πr
Circumference = 2π*8
Circumference = 16π
Distance traveled by that man = 2808* 16π/360
Distance traveled by that man = 392.22 feet
therefore, a rider seated 8 feet from the center of the merry-go travel during the ride would travel 392.2 feet.
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Help, help!!! Please:)
Answer: b
Step-by-step explanation:
PLZ HELP VERY EASY BRAINLIEST
Identify a pair of mutually exclusive events and a pair of independent events.
Solve the system of equations by elimination. Explain your reasoning or show your work.
4x+6y=44 and 4x+2y=28
Answer:
x=3 ,y=6
Step-by-step explanation:
4x+6y=44 eqni
4x+2y=28 eqn ii
now subtract it eqn i and ii
4x+6y=44
-4x+2y=28
or, 0 +4y=24
or, 4y=24
or , y=24/4
or,y=6
putting value of y in eqn i
4x+6y=44
4x+6×6=44
4x=44-36
4x=12
x=12/4
x=3
If n-3/4=2/3 , then which of the following is true?
3 n – 9 = 6
3 n – 3 = 8
3 n – 9 = 8
3 n – 3 = 6
Answer: C
3 n – 9 = 8
Step-by-step explanation: Hope this helps:)
Answer:
3 n - 9 = 8
Step-by-step explanation:
A rectangular flower bed is 7 m long. If the boundary
around the bed is 22 m long, find its breadth. Also,
find its area.
need full solution
As we know that
[tex]\sf \blue{Perimeter = 2(l + b)}[/tex]
22 = 2(7 + b)22 = 14 + 2b 22 - 14 = 2b8 = 2b[tex]\sf \: \dfrac{8}{2} = b[/tex][tex]\bold{\boxed{b=4} }[/tex] Breadth = 4 m.Now,
[tex]\sf \orange{Area = l \times b}[/tex]
[tex]Area = 7 \times 4[/tex][tex]\sf \: Area = 28 \: {m}^{2}[/tex]Area=28[tex]\bold{ m^2 }[/tex]