Answer:
1. Red, 2. Green, 3. 1/2, 4. 3/10, 5. 4/5, 6. 1/2
Step-by-step explanation:
1. Red is the color with the least amount
2. Green is the color with the highest amount
3. 5 out of 10 of the marbles are green so that simplifies to 1/2
4. 3 out of 10 of the marbles are blue
5. 2 of the marbles are red so there are 8 left out of 10 and you have a 4/5 probability of getting something other than red
6. Half the marbles are green so you have a 1/2 probability to not get green
what are the solutions to the following system of equations?x y = 3y = x2 − 9 (3, 0) and (1, 2) (−3, 0) and (1, 2) (3, 0) and (−4, 7) (−3, 0) and (−4, 7)
Therefore, the solutions to the given system of equations are: (2√2, -5) and (-2√2, -5).
Hence, option D (3, 0) and (−4, 7) are not solutions of the system of equations.
The given system of equations is: xy = 3.............(1)y = x² - 9..........(2) We have to solve the system of equations.
The value of y is given in the first equation. Therefore, we will substitute the value of y from equation (1) into equation (2).xy = 3x(x² - 9) = 3x³ - 27x Now, we will substitute the value of x³ as a variable t.x³ = t
Therefore, t - 27x = 3t-24x=0t = 8x Substitute t = 8x into x³ = t.
We get:x³ = 8x => x² = 8 => x = ± √8 = ± 2√2. Substitute the value of x in y = x² - 9 to get the value of y corresponding to each value of x.y = (2√2)² - 9 = -5y = (-2√2)² - 9 = -5
A system of equations refers to a set of two or more equations that are to be solved simultaneously. The solution to a system of equations is a set of values for the variables that satisfies all the equations in the system.
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reggie picked 72 flowers he wants to split them up and give an equal number of flowers to his aunts how many flowers will each aunt receive?
Answer:
?
Step-by-step explanation:
Without knowing number of aunts how can we split?
Or I don't understand the question , Anyone can solve ??
8) The function f(t)=12(1.8) represents the number of rabbits in a forest after t years.
a) Does the function represent exponential growth or exponential decay?
b) Graph the function on a calculator. Describe the domain and range.
c) What is the yearly percent change?
d) How many rabbits are in the forest after 8 years?
Nicholas bought 24feet of fabric at afabric store. The fabric cost $1.35 per foot, including sales tax. If Nicholaspaid with a $50bill, how much change should he have received?
Answer:
24x1.35=32.4
He should have recieved $32.40 in change.
I was wondering What is 3 plus 3
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
3 plus 3 equals 6. If you have 3 cookies and you add three more, now you 6 cookies.
Bon Appetit
PLEASE ANSWER
Micaela is searching for the best spot to plant her tomato plants. The east side of her house gets 6 hours and 45 minutes of sunlight each day. The west side receives 7 hours and 15 minutes of sunlight on a daily basis. How much less sunlight does the east side receive?
Keep in mind that there are 60 minutes in 1 hour.
Answer:
420 + 15 = 435
360 + 45 = 405
435 - 405 = 30.
30 minutes less sunlight
Step-by-step explanation:
Answer:
The east side gets 30 minutes less sunlight.
Step-by-step explanation:
To find the answer we have to subtract 6 hours 45 minutes from 7 hours 15 minutes. As we see that 15 is less than 45, we turn 7 hours 15 minutes to 6 hours 75 minutes, and now we can subtract. 6 hours 75 minutes - 6 hours 45 minutes = 30 minutes. Now, we see that the answer is 30 minutes less sunlight.
use elementary row operations to reduce the given matrix to row echelon form and reduced row echelon form.−3−913−4−121713−4(a)row echelon form(b)reduced row echelon formneed help? read it
(A) Row echelon form is :
\(\left[\begin{array}{ccc}1&3&0\\0&0&1\\0&0&0\end{array}\right]\)
(B)The reduced row echelon form is:
\(\left[\begin{array}{ccc}1&3&0\\0&0&1\\0&0&0\end{array}\right]\) × A
Row - Echelon matrix:
A row-echelon matrix means that Gaussian elimination is performed on the rows, and a column-echelon form means that Gaussian elimination is performed on the columns. That is, if the transpose of a matrix is in row form, then it is in column form. Therefore, in the rest of this article, only the row-echelon form is considered. Similar columnar properties can be easily derived by transposing all the matrices. Specifically, a matrix is in row-level form if below are all rows composed of all zeros.
Now,
Divide row 1 by -3 : R₁ = - R₁/3
\(\left[\begin{array}{ccc}1&3&-13/3\\-4&-12&17\\1&3&-4\end{array}\right]\)
Add row 1 multiplied by 4 to row 2:
R₂ = R₂ +4R₁:
\(\left[\begin{array}{ccc}1&3&-13/3\\0&0&-1/3\\1&3&-4\end{array}\right]\)
Add row 1 from row 3 : R₃ = R₃ -R₁
\(\left[\begin{array}{ccc}1&3&-13/3\\0&0&-1/3\\0&0&1/3\end{array}\right]\)
Since the element at row 2 and column 2(pivot element) equals 0, we need to swap the rows.
Find the first non-zero element in column 2 under the pivot entry.
As can be seen, there are no such entries. Move to the next column.
Multiply row 2 by -3: R₂ = -3R₂
\(\left[\begin{array}{ccc}1&3&-13/3\\0&0&1\\0&0&1/3\end{array}\right]\)
Add row 2 multiplied by 13/3 to row 1: R₁ = R₁ + 13R₂/3
\(\left[\begin{array}{ccc}1&3&0\\0&0&1\\0&0&1/3\end{array}\right]\)
Add row 2 multiplied by 1/3 from row 3 : R₃ = R₃- R₂/3
\(\left[\begin{array}{ccc}1&3&0\\0&0&1\\0&0&0\end{array}\right]\)
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2. Select all of the trips that would take 4 hours. a. Drive 40 miles per hour between Gotham City and Smallville, which are 160 miles apart. Take a plane going 900 kilometers per hour from Town A to Town Z. which are 3,600 kilometers apart. c Walk 3.2 miles per hour to the grocery store, which is 8 miles away.
Answer:
i think the answer is 50 if not im sorry if there is another go for that one.
Step-by-step explanation:
Devi’s mother is three times as old as Devi. Five years ago, Devi’s mother was four times as old as Devi was then. Find their present ages
Answer:
Devi's present age = 15 years
Devi's Mother's present age = 45 years
Step-by-step explanation:
Let the present age of Devi be x years.
Therefore, mother's present age = 3x
Five years ago:
Devi's age = (x - 5) years
Mother's age =( 3x - 5) years
According to the given condition:
Five years ago:
Devi's mother's age = 4 times Devi's age
3x - 5 = 4( x - 5)
3x - 5 = 4x - 20
20 - 5 = 4x - 3x
15 = x
x = 15 years
3x = 3* 15 = 45 years
Hence,
Devi's present age = 15 years
Devi's Mother's present age = 45 years
Which of the following numbers is divisible by 11?
Answer:
I dont see any numbers?
can you find the determinant of a non square matrix
No, the determinant of a matrix can only be calculated for square matrices. A square matrix has an equal number of rows and columns, while a non-square matrix has a different number of rows and columns.
The determinant is a mathematical property that is defined for square matrices only. It is a scalar value that represents certain characteristics of the matrix. To calculate the determinant of a square matrix, you can use various methods such as expansion by minors, cofactor expansion, or using the properties of determinants.
For example, let's consider a 3x2 non-square matrix:
```
A = [[1, 2],
[3, 4],
[5, 6]]
```
Since A is a non-square matrix, we cannot calculate its determinant.
the determinant is a concept applicable only to square matrices. Non-square matrices do not have a determinant.
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Suggest regular languages L1 and L2 over {0,1} such that 1. L1⊈L2, 2. L2L1, and 3. (L1∪L2)∗=L1∗∪L2∗ (b) Prove or disprove whether condition 3 above holds for any regular languages, L1 and L2.
a). We have proved all the given conditions.
b). It is true that condition 3 holds for all regular languages L1 and L2.
(a) Regular languages L1 and L2 can be suggested as follows:
Let \(L_1={0^{(n+1)} | n\geq 0}\)
and
\(L_2={1^{(n+1)} | n\geq 0}\)
We have to prove three conditions:1. L1 ⊈ L2:
The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.
Therefore, L1 and L2 are distinct.2. L2 L1:
The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.
Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:
For proving this condition, we need to prove two things:
First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.
It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.
Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.
Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.
Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.
Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.
Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.
Therefore, (L1 ∪ L2)* = L1* ∪ L2*.
Therefore, we have proved all the given conditions.
(b)It is true that condition 3 holds for all regular languages L1 and L2.
This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.
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Umm okay this is IXL and I don’t know what to do???
Answer:
t⁹
Step-by-step explanation:
Whenever you multiply the same base with 2 different exponents, you add the powers together.
t⁴(t⁵)
4 + 5 = 9
t⁹
Answer:
Hey there!
a^b(a^c)=a^b+c
t^4(t^5)=t^9.
Let me know if this helps :)
Which sequence is generated by the rule 3n - 1, where n represents the position of a term in the sequence? Select one: 1) 3, 6, 9, 12, 15... 2) 4,7, 10, 13, 16 ... 3) 4,5,6,7,8,9... 4) 2,5, 8, 11, 14 ..
The answer is 4 .
2z-1= -9+ z i need the answer RIGHT NOW
Answer:
z = -8
Step-by-step explanation:
I'm guessing you want to find out what z is equal to, so here you go.
2z - 1 = -9 + z
2z = -8 + z
z = -8
Answer:
z = -8
Step-by-step explanation:
let's simplify the equation by getting the like terms together.
2z-1 = -9+z
first get the z's on the same side:
2z-z-1 = -9
z-1 = 9
then the constants:
z = -9+1
z = -8
For the function f(x) = 3x + 7, find f'(1), f '(3), and f'(10).
Can anyone help?
This is my math hw someone help pls ?
Two variables, x and y are in direct proportion when x = 40, y = 10.
Work out a formula for y in terms of x.
Two variables , x and y are in inverse proportion when x = 40 , y = 10.
Work out a formula connecting x and y.
and fill the missing numbers
The formula for y in terms of x when x and y are in direct proportion is y = x/4.
The formula connecting x and y when x and y are in inverse proportion is xy = 400.
When two variables x and y increase or decrease at the same pace, they are said to be in direct proportion. The ratio of x to y is hence constant.
Given that x = 40 and y = 10 when x and y are in direct proportion, we can write:
x/y = 40/10
Simplifying the ratio gives:
x/y = 4
To find a formula for y in terms of x, we can manipulate the above equation to isolate y:
x/y = 4
y/x = 1/4 (dividing both sides by x)
y = x/4
When two variables x and y have an inverse relationship, their product is said to be constant. So that xy = k, where k is a constant, y reduces as x grows and vice versa.
Given that x = 40 and y = 10 when x and y are in inverse proportion, we can write:
xy = k
Substituting the values of x and y gives:
40 × 10 = k
k = 400
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A small technology company started offering shares of stock to investors in 1987. At that time, the price of one share of stock was $0.39. Since then, the company has experienced rapid growth. Twenty-two years later, the price of a single share of stock has risen to over $110. One scatterplot shown summarizes the number of years since the initial stock offering in 1987 and the price of the stock, while the other compares years since 1987 to the log of stock price.
Based on these scatterplots, what type of model is most appropriate for summarizing the relationship between year and stock price?
A linear model is appropriate because the scatterplot of the transformed data is roughly linear.
An exponential model is appropriate because the scatterplot of time and log price is increasing.
An exponential model could be appropriate because the scatterplot of log height versus log weight is roughly linear. The next step is to look at the residual plot.
A power model is appropriate because the scatterplot of time and price shows a curved relationship.
PLS HURRY
These scatterplots show that model type A is best suited to summarize the relationship between year and stock price. The scatterplot of the processed data is nearly linear, so a linear model is suitable.
What is linear model ?These scatterplots show that model type A is best suited to summarize the relationship between year and stock price. The scatterplot of the processed data is nearly linear, so a linear model is suitable.
A linear model is applicable if we can create a linear equation based on the connection between the independent and dependent variables (because there is no constant rate of change).
Otherwise, we can simulate the relationship using an exponential model.
An exponential model is:When the rate of increase representing the relationship between the year and stock price is proportional or constant, we utilize the exponential model.
By determining whether the ratio of the dependent values is the same, one can choose to describe the connection as an exponential equation.
As a result, even though the time and price scatterplot is curved, a linear model is adequate.
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Please helppppppppppppppppppppp
Answer:
No I won't.....
But OK let's help.... Will earn some good deeds
Isn't the ans 12??
Yes it's........... 12cm
Please help me with this question , which panda was heavier when they were born
image shown
Answer:
Kappa
Step-by-step explanation:
Mochi weighed 1 pound when he was born, and Kappa weighed 2 pounds when he was born. Therefore, Kappa is the answer.
Answer: kappa
Step-by-step explanation: the chart goes
0, 2, 4, 6, 8...etc it goes by two’s.
What percent of students in grade 8 prefer to joun a dance club?
The percent of students in grade 8 those who like to join dance club is equal to 25%.
Total number of students in grade 8 = 20
Total number of students of grade 8 join in dance club = 5
Percent of students of grade 8 prefer to join dance club
= ( total number of students prefer dance club ) / ( Total number of students in grade 8 ) × 100
Substitute the value in the formula we get,
⇒ Percent of students of grade 8 prefer to join dance club
= ( 5 ) / ( 20 ) × 100
⇒ Percent of students of grade 8 prefer to join dance club = 0.25 × 100
⇒ Percent of students of grade 8 prefer to join dance club = 25%
Therefore, percent of grade 8 students who preferred to join dance club is equal to 25%.
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The above question is incomplete, the complete question is:
What percent of students in grade 8 prefer to join a dance club?
Dance club Hiking club Total
Grade 7 15 15 30
Grade 8 5 15 20
Total 20 30 50
p=s1t-s2t. Which equation sauce for tea........................
Answer:
f444444444444444444444444Step-by-step explanation:
f
Find the measure of arc CD in p
9514 1404 393
Answer:
57°
Step-by-step explanation:
TD is a diameter, so arc TCD is 180°. Then arc CD is ...
CD = arc TCD -arc TC
CD = 180° -123°
arc CD = 57°
Find the measure of arc CD in P.
___________________Solution :-Given Information :-Arc TC = 123°Arc TCD = 180° ( Reason :- Arc TCD is the diameter of circle )Arc BT = 90° To Find :-Measure of Arc CD Calculation :-Because Arc TC and Arc CD comprise the Arc TCD,
⇒ Arc TC + Arc CD = Arc TCD
Substituting the values given, We get,
⇒ 123° + Arc CD = 180° ( Reason :- Arc TCD is the diameter of circle )
Now, Transposing 123° to Right Hand Side, We get,
⇒ Arc CD = 180° - 123°
⇒ Arc CD = 57°
∴ Arc CD = 57°
____________________Final Answer :-Arc CD measures 57°
____________________\(\sqrt{25} is an irrational
Answer:
Is Square Root of 25 Rational or Irrational?
Step-by-step explanation:
A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.
The answer is:
⇨ √25 is a rational numberWork/explanation:
What are rational numbers?
Rational numbers are integers and fractions.
Irrational numbers are numbers that cannot be expressed as fractions, such as π.
Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.
Hence, √25 is rational.Ahmed wrote two numbers. The first number has a 7 in its tenths place. The second number has a 7 with a value that is 1,000 times greater than the value of the 7 in the first number.In which place is the 7 in the second number?
The second digit 7 appears in the position reserved for the ten thousand.
This is further explained below.
In which place is the 7 in the second number?In most cases, the location of the number 7 in the second number may be determined by utilizing the multiplication system of numbers. The location of the ten thousand is represented by the second digit of the numeral seven.
It is a given that the first number has a seven in the tenth position.
According to the question that was presented, the first number contains a 7 in the tenth position, which means that the number is 10 times bigger than itself. Now determine the number, seven times ten equals seventy.
In conclusion, Because the value of the seven in the second number is 1,000 times more than the value of the seven in the first number, the value of the second number is 1,000 times greater than the value of the number itself.
7 x 1000 = 7000
As a result, the second digit 7 appears in the position reserved for the ten thousands.
,
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1. when did she start using her phone?
2. when did she start charging her phone?
3. while she was using her phone, at what rate was lin's phone battery dying?
Observed from our graph,
1. when did she start using her phone?At 2 afternoon
2. When did she start charging her phone?At 8 afternoon
3. While she was using her phone, at what rate was Lin’s phone battery dying?From 100% to 40% between 2PM and 4 PM:
(100 - 40)/(4 - 2) = 60/2 = 30% per hour
What is a percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
What is percent example?One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. For example, 1 percent of 1,000 chickens equals 1/100 of 1,000, or 10 chickens; 20 percent of the quantity is 20/100 1,000, or 200.
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Help yalll I really need help major time
Answer:
Annalise is correct because the outputs are closest when x = 1.35
Step-by-step explanation:
The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.
PLS HURRY!!Multiply. Write your answer as a fraction or as a whole or mixed number.
Answer:3.75
Step-by-step explanation:
5 x 3/4 = 15/4 15 / 4 = 3 3/4 3/4 = .75 3.75 or 15/4.
face A
2cm
20%
face B
2cm
Both watch faces are circular with radius 2cm.
The materials used to make both watch faces have the same thickness.
A is made entirely of plastic.
B has a 20° sector of metal and à 340° sector of plastic.
The ratio of the cost per cm² of the metal to the cost per cm² of the plastic is 3:2
Work out the ratio of the cost of the materials for A to the cost of the materials for B.
Give your answer in its simplest form.
You must show all your working.
Therefore , the solution of the given problem of ratio comes out to be 8:17 .
Describe ratio.The simple formula "a / b," where "b" may be greater than zero, can be used to determine a group of integers "a" and "b" that appear to be equal. Two ratios are combined to form a ratio. If there were only one man and three ladies, the fraction would be 1:1. In the group, there are 3/4 women and 1/4 males. Parts can be a division between things, a figure, or a particular percentage of a component's volume.
Here,
Let x be the price of plastic per square centimetre used to create visage A.
Consequently, the price of the components for aspect A is:
=> 4πx
The metal sector's size on face B is:
=> (20/360)π(2cm)² = (1/9)π cm²
The plastic sector's size on face B is:
=> (340/360)π(2cm)² = (17/9)π cm²
Face B's entire surface size is:
=> (1/9)π + (17/9)π = 2π cm²
Let y be the plastic's expense per square centimetre used to create face B.
Consequently, the price per cm2 of the metal used to create face B is three and a half times the price per cm2 of the plastic, leading to:
=> (3/2)y = (3/2)(2x) = 3x
The material cost for the metal section on face B is inversely correlated with its area, so:
=> (1/9)π(3x)
The price of the plastic used in the section on face B is inversely proportional to its area, so:
=> (17/9)πy
=> 8πx : 17πy = 8 : 17
The response is 8:17,
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