Answer:
Greater
Step-by-step explanation:
.4*1.8 is .72
.72 is greater than .4
Find the unknown angle measure.
Answer:
x=22
Step-by-step explanation:
180-77=103
103+55=158
180-158=22
x=22
You can buy a pack of 12 batteries
for $6. What is the unit price?
Answer:
Each battery costs .5 dollars or 50 cents
Step-by-step explanation:
6/12=.5
Answer:
total units 12
cost per unit $ 0.5000
Step-by-step explanation:
Hope this helps! :)
Help!NOW please!! I’ll do anything!
Answer:
16 1/2
Step-by-step explanation:
find the absolute value of both and add them, there's you answer
Answer:
re08uwahrewrai098nyryvrhheuaviufvsdsavad <<< Don't do this please
-16 1/2 units away
Somebody tell me whats the answer and how do i find the oder pair thing
Answer:
( 2,0)
Step-by-step explanation:
The line crosses the Y intercept at the coordinates at (2,0)
Answer:
the y-intercept of the graph is 2
the ordered pair is (0,2)
Step-by-step explanation:
The y-intercept is the point where the line crosses the "y" line. Ordered pair are written (x,y) (the x is always in the front)
So, if we look at the "y" line we can see they y point is a 2, and if we look at line "x", the 2 is "above" the point 0 on the line labeled x.
Point A is located at (4, 7). It will be translated 5 units right and 3 units down. Write the rule and give the location of point A.
Answer:
The rule of translation is [tex]A(x',y') = A(x,y) + (5,-3)[/tex].
The translated vector is [tex]A(x',y') = (9, 4)[/tex].
Step-by-step explanation:
Let supposed that translation to the right is in the +x direction and translation downwards in the -y direction.
We procced to translate the operation into mathematic terms. A translation consists in a vectorial sum on a given vector. That is:
[tex]A(x',y') = A(x,y) + U(x,y)[/tex] (Eq. 1)
Where:
[tex]A(x,y)[/tex] - Original vector, dimensionless.
[tex]U(x,y)[/tex] - Translation vector, dimensionless.
[tex]A(x',y')[/tex] - Translated vector, dimensionless.
If we know that [tex]U(x, y) = (5, -3)[/tex], then the rule of translation is described by:
[tex]A(x',y') = A(x,y) + (5,-3)[/tex] (Eq. 2)
If [tex]A(x, y) = (4,7)[/tex], then the new location of A is:
[tex]A(x',y') = (4,7)+(5,-3)[/tex]
[tex]A(x',y') = (9, 4)[/tex]
The translated vector is [tex]A(x',y') = (9, 4)[/tex].
Problem 9.4 Given the system of equations -3x2 + 7x3 = 4 x1 + 2x2 - x3 = 0 5x1 -2 x2 = 3 (a) Compute the determinant. (b) Use Cramer’s rule to solve for the x’s. (c) Use Gauss elimination with partial pivoting to solve for the x’s. As part of the computation, calculate the determinant in order to verify the value computed in (a) (d) Substitute your results back into the original equations to check your solution.
- 3 x₂ + 7 x₃ = 3
x₁ + 2 x₂ - x₃ = 0
5 x₁ - 2 x₂ = 3
(a) I suppose this is asking for the determinant of the coefficient matrix.
[tex]\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}[/tex]
Using a cofactor expansion along the first row, this reduces to
[tex]0\begin{vmatrix}2&-1\\-2&0\end{vmatrix}-(-3)\begin{vmatrix}1&-1\\5&0\end{vmatrix}+7\begin{vmatrix}1&2\\5&-2\end{vmatrix}= 3(0 - (-5))+7(-2-10)=\boxed{-69}[/tex]
(b) Using Cramer's rule, we have
[tex]x_1=\dfrac{\begin{vmatrix}\mathbf 3&-3&7\\\mathbf 0&2&-1\\\mathbf 3&-2&0\end{vmatrix}}{\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}}[/tex]
[tex]x_2=\dfrac{\begin{vmatrix}0&\mathbf 3&7\\1&\mathbf 0&-1\\5&\mathbf 3&0\end{vmatrix}}{\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}}[/tex]
[tex]x_3=\dfrac{\begin{vmatrix}0&-3&\mathbf 3\\1&2&\mathbf 0\\5&-2&\mathbf 3\end{vmatrix}}{\begin{vmatrix}0&-3&7\\1&2&-1\\5&-2&0\end{vmatrix}}[/tex]
That is, solving for n-th variable consists of dividing [the determinant of the coefficient matrix with its n-th column replaced with the right side of the system, the numbers in boldface,] by [the determinant of the coefficient matrix].
Compute each determinant:
[tex]\begin{vmatrix}\mathbf 3&-3&7\\\mathbf 0&2&-1\\\mathbf 3&-2&0\end{vmatrix}=3\begin{vmatrix}2&-1\\-2&0\end{vmatrix}+3\begin{vmatrix}-3&7\\2&-1\end{vmatrix}=3(0-2)+3(3-14)=-39[/tex]
(expanding along the first column)
[tex]\begin{vmatrix}0&\mathbf 3&7\\1&\mathbf 0&-1\\5&\mathbf 3&0\end{vmatrix}=-1\begin{vmatrix}3&7\\3&0\end{vmatrix}+5\begin{vmatrix}3&7\\0&-1\end{vmatrix}=-1(0-21)+5(-3-0)=6[/tex]
(again, along the first column)
[tex]\begin{vmatrix}0&-3&\mathbf 3\\1&2&\mathbf 0\\5&-2&\mathbf 3\end{vmatrix}=-1\begin{vmatrix}-3&3\\-2&3\end{vmatrix}+5\begin{vmatrix}-3&3\\2&0\end{vmatrix}=-1(-9-(-6))+5(0-6)=-27[/tex]
(first column)
So, we get the solution
[tex]x_1=\dfrac{-39}{-69}=\boxed{\dfrac{13}{23}},x_2=\dfrac6{-69}=\boxed{-\dfrac2{23}},x_3=\dfrac{-27}{-69}=\boxed{\dfrac9{23}}[/tex]
(c) Using elimination:
- 3 x₂ + 7 x₃ = 3
x₁ + 2 x₂ - x₃ = 0
5 x₁ - 2 x₂ = 3
Swap the first two equations:
x₁ + 2 x₂ - x₃ = 0
- 3 x₂ + 7 x₃ = 3
5 x₁ - 2 x₂ = 3
Add -5(equation 1) to equation 3:
x₁ + 2 x₂ - x₃ = 0
- 3 x₂ + 7 x₃ = 3
- 12 x₂ + 5 x₃ = 3
Add -4(equation 2) to equation 3:
x₁ + 2 x₂ - x₃ = 0
- 3 x₂ + 7 x₃ = 3
- 23 x₃ = -9
Multiply through equation 3 by -1/23:
x₁ + 2 x₂ - x₃ = 0
- 3 x₂ + 7 x₃ = 3
x₃ = 9/23
Add -7(equation 3) to equation 2:
x₁ + 2 x₂ - x₃ = 0
- 3 x₂ = 6/23
x₃ = 9/23
Multiply through equation 2 by -1/3:
x₁ + 2 x₂ - x₃ = 0
x₂ = -2/23
x₃ = 9/23
Add -2(equation 2) and equation 3 to equation 1:
x₁ = 13/23
x₂ = -2/23
x₃ = 9/23
hurry i'm doing a test so
what is the value of x in the equation 5.5x = 17.6?
Answer:
x=3.2
Step-by-step explanation:
Answer:
x=3.2
Step-by-step explanation:
Divide each term by 5.5 and simplify.
x = 3.2
help! 50 points and brainliest if u answer all of em
Answer:
The first one is C the second and third are correct.
Step-by-step explanation:
A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies. If there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct. What is the probability of Steve agreeing with the company’s claim? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.
Answer:
The probability of Steve agreeing with the company’s claim is 0.50502.
Step-by-step explanation:
Let X denote the number of green candies.
The probability of green candies is, p = 0.20.
Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.
So, n = 30 candies are randomly selected.
All the candies are independent of each other.
The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.
It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.
Compute the probability of 5, 6 and 7 green candies as follows:
[tex]P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328[/tex]
Then the probability of Steve agreeing with the company’s claim is:
P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)
= 0.17228 + 0.17946 + 0.15328
= 0.50502
Thus, the probability of Steve agreeing with the company’s claim is 0.50502.
The table shows the makeup of a New Year’s Eve television show. What fraction of the show will be for the audience to speak?
Table:
Introduction: 10%
Skits: 25%
Guests: 45%
Audience: 20%
Answer:
1/5
Step-by-step explanation:
We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.
We know that, percent means we need to divide the value by 100 i.e.
[tex]20\%=\dfrac{20}{100}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]
So, the required fraction is 1/5.
A dietician is considering three food types to be served at a meal she is particularly concerned with the amount of one vitamin provided?
5 years ago
at this meal ,. One ounce of food 1 provide 8 milligrams of the vitamin , an ounce of food 2 provides 24 milligram and an ounce of food 3 provides 16 milligrams . The minimum daily requirements for vitamin is 120 milligram
a. If x equals the number of ounces of food type j served at meal, determine the equation which ensure the meal satisfies MDR exactly.
i want linear equation solution of this
Answer:
8* x₁ + 24*x₂ + 16*x₃ ≥ 120
Step-by-step explanation:
food 1 provides 8 mgrs of vitamin
food 2 provides 24 mgrs of vitamin
food 3 provides 16 mgrs of vitamin
If xj ( j = 1 ,2,3 ) is the quantity in ounces of food ( 1, 2, 3 ) then:
8* x₁ + 24*x₂ + 16*x₃ ≥ 120
Cedrick is writing a report. It takes him 4 min to type 5/8 page of the report. At this rate, how many minutes does it take cedrick to type 1 full page of the report?
Answer:
It will take 6.4 minutes for Cedrick to type 1 full page of the report.
Step-by-step explanation:
1. First, we want to find out how long it takes Cedrick to type 1/8 of a page. If it takes him 4 minutes to write 5/8 of a page, we can do 5/8 divided by 5, which equals 1/8. We also have to divide 4 by 5 which equals 4/5. So, it takes Cedrick 4/5 of a minute to write 1/8 of a page.
2. We now want to find out how long it takes him to write one page, so we should multiply 1/8 and 4/5 by 8. 1/8 times 8 equals one, and 4/5 times 8 equals 32/5. That means that it takes 32/5 (in decimal form it is 6.4) minutes to write one page of the report.
Cedrick will type one whole page of the report in 6.4 minutes.
What is an expression?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that Cedrick is writing a report. It takes him 4 min to type 5/8 pages of the report.
In the beginning, we need to ascertain how long it takes Cedrick to type 1/8 of a page. We can do 5/8 divided by 5 to get 1/8 if it takes him 4 minutes to write 5/8 of a page.
Additionally, we must divide 4 by 5, which is 4/5. Cedrick, therefore, needs 4/5 of a minute to complete 1/8 of a page.
We need to multiply 1/8 and 4/5 by 8 to get how long it takes him to write one page. 8 divided by 1/8 = 1, while 8 multiplied by 4/5 equals 32/5.
This suggests that writing one page of the report requires 32/5 (6.4 in decimal form) minutes.
To know more about an expression follow
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PLEASE HELP!!! ALGEBRA! For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10, adults were $20, and seniors 60 and older were $15. There were 3 times more children than seniors at the concert. What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the concert?
Answer:
( c + a + s) = 5000
(10c + 20a + 15s) = 72000
c = 3s
Step-by-step explanation:
Number of tickets sold = 5000
Proceeds from ticket Sale = $72,000
Tickets for children 16 and younger = $10
Adults = $20
seniors 60 and older = $15
Let :
number of children, c ;
adults, a;
seniors, s,
There were 3 times more children than seniors at the concert ; c = 3s
Total number of attendees = 5000 ;
( c + a + s) = 5000
Total proceeds or revenue
(10c + 20a + 15s) = 72000
890 g of copper is mixed with 100 g of zinc to form brass. The density of copper is 8.9 g/cm³ and the density of zinc is 7.1 g / cm ³ .
a ) What is the volume of copper and zinc used to make the brass ?
b ) Calculate the density of the brass .
Density ρ is equal to mass m per unit volume v, or
ρ = m / v
Solve for volume:
v = m / ρ
(a) 890 g of copper, which has a density of 8.9 g/cm³, has a volume of
v = (890 g) / (8.9 g/cm³) = 100 cm³
100 g of zinc, with density 7.1 g/cm³, has a volume of
v = (100 g) / (7.1 g/cm³) ≈ 14.08 cm³
(b) The density of brass is then
ρ = (890 g + 100 g) / (100 cm³ + 14.08 cm³) ≈ 8.68 g/cm³
28 points. I need help ASAP please
Answer:
1) Thousands
2) 5
3) ten million
4) 3,000,000
Step-by-step explanation:
Answer:
1. hundred thousands
2. 5
3. ten millions
4. 3,000,000
Step-by-step explanation:
Help me plzzzzz
It’s late cuz I’m dum
8th grade math...
The answer is B
Hope this helps! i just learned this today lol
HELP : calculating slope between two points.
Answer:
(1.)3.5 (2.)-3 (3)0
Step-by-step explanation:
if right comment please
The population of Philadelphia, Pennsylvania, is about 1.5 × 106 people. The population of Moscow, Russia, is about 8 times greater than the population of Philadelphia. Drag the buttons to the correct places to show how to use a calculator to find the population of Moscow.
Answer:
8 x (1.5EE6)
Step-by-step explanation:
Solve x2 - 4x + 1 = 0.
x= 2 + 2i15
x = 4+ V3
x = 2/3
x= -2-3
Answer:
x = 2 ± √ 3
Step-by-step explanation:
What is the midpoint of the segments with endpoints (3,7) and (9,15)
Answer:
(6,11)
I can confirm that this question is right.
12/2 22/2
(6 , 11)
I need help please thanks
find x when y = 18, if y = 9 when x = 8
ASAP PLEASE
so
y=9 -> y=18
*2
x=8 -> x=16
*2
so x = 16
Answer:
the only logical way solving this question is:
if y=9 then x=8
if y=18 then x should be 16
Step-by-step explanation:
I cant find any other way to solve
2,940 ÷ 48 pls help
i need to get the answer
Answer:
61.25
Step-by-step explanation:
48 goes into 2940 that many times.
Hope this helped :)
Answer:
61.25
Step-by-step explanation:
2,940 / 48 = 61.25
Hope this helps.
Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide scholarships to ChE students. She wants the scholarship to provide $13,000 per year and expects the first one to be awarded on the day she fulfills the endowment obligation. If Aloma plans to donate $240,000, what rate of return must the university realize in order to award the annual scholarship forever?
The rate of return that the university must realize in order to award the annual scholarship forever is _____%.
Answer:
5.73%
Step-by-step explanation:
Calculation for the rate of return that the university must realize
Using this formula
Rate of return = Initial payment/(Plan to donate- Initial payment)
Let plug in the formula
Rate of return=$13,000/($240,000-$13,000)
Rate of return=$13,000/$227,000
Rate of return=0.0573*100
Rate of return =5.73%
Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.
A car dealership finds that a certain model of new car has something wrong with its transmission 15% of the time. How likely is it that a particular model of that car has something wrong with its transmission? Select the correct answer below: Very likely, the probability is close to 1. Somewhat likely, the probability is closer to 1 than to 0. Unlikely, the probability is close to 0. Somewhat unlikely, the probability is closer to 0 than it is to 1. Equally likely, the probability is 0.5.
Answer:
Unlikely, the probability is close to 0
Step-by-step explanation:
Given
[tex]Transmission = 15\%[/tex]
Required
Determine the likelihood
The given probability, 0.15 is close to 0. This implies that the event is unlikely.
From the list of given options, option C answers the question
How can you express (15+30) as a multiple of us some of her numbers with no common factor?
Winter coats are marked 70% off on February 1st. if a coat costs $57.75 on January 31st, how much will it cost on February 1st.
Answer:
57.75-(57.75*0.7)=17,325
Or 100-70=30
So 57.75*0.3=17.325
Answer:
$40.425
Step-by-step explanation:
hope it helps good luck
Administrators at Riverview High School surveyed a random sample of 100 of their seniors to see how
seniors at the school felt about the lunch offering at the school's cafeteria.
Identify the population and sample in this setting.
Choose 1 answer:
А
The population is all high school seniors in the world; the sample is all of the seniors at
Riverview High.
B
The population is all students at Riverview High; the sample is all of the seniors at Riverview
High.
The population is all seniors at Riverview High; the sample is the 100 seniors surveyed.
Answer:
C. The population is all seniors at Riverview High; the sample is the 100 seniors surveyed.
Step-by-step explanation:
The Population in statistical terms refers to the objects, people, organisms, etc that a researcher wishes to study. Usually, the population is so large that it might be difficult for the researcher to study all of them. To solve this problem, a sample is thus obtained from the population in such a way that participants have an equal chance of being chosen for the study. The result gotten from this sample can then be generalized to the entire population.
In the example provided, all the seniors at Riverview High are the population under study. The 100 seniors chosen from this population are the sample.
The population in this setting is all seniors at Riverview High and the sample is the 100 seniors surveyed.
What is a Population?
A population is the party of interest in an experiment. It is from a population the sample is derived. A population consists of all the members of the group.
What is a Sample?A sample is a smaller group of the population. A sample is sometimes necessary because it might not be feasible or cost effective to access the whole population.
To learn more about population, please check: https://brainly.com/question/12982972
HELP I WILL MARK BRANLIEST PLEASE HELP ASAP
Answer:
120
Step-by-step explanation:
4y-27=3y then y is equal to ?
Answer:
y=4/3y -9
Step-by-step explanation:
just divide both sides of the equation by 3
an airplane is change in alitude before landing is shown in the table
Answer:
wheres the table can you please provide one
Step-by-step explanation:
AnswerA= -4,000m
Step-by-step explanation:
1 35,000
2 31,000
3 27,000
4 23,000
Youre subtracting 4,000 everytime.