4) Angles 3 and 6 are congruent. What would you use to prove those lines parallel? (pic below)A. Converse of Same-Side Interior Angles Theorem
B. Alternate Interior Angles Theorem
C. Converse of the Corresponding Angles Postulate
D. Converse of Alternate Interior Angles Theorem
Answer:
B?
Step-by-step explanation:
Factor out completely 7y^3 + 21y^2 + 14y
Answer:
add and subtract the second term to the expression and factor by grouping 7(y-1)(2y+3)
i hope this helps
Step-by-step explanation:
A customer purchased 9 avocados at the same price each. The customer had $46 to spend on groceries. After purchasing the avocados, the customer was left with $27.19. How much did each avocado cost?
Answer:
each avocado cost = $2.09
Step-by-step explanation:
He spent : $46 - $27.19 = $18.81
so lets the cost of each be x
9 * x = $18.81
x = $18.81 / 9
x = $2.09
What’s this problem
Answer:
use FOIL- Firsts Outsides Insides Lasts
Multiply the -4 and -3 as they are the first numbers of each brackets -4x-3=12Next the outsides so -4x6i as they are on the outskirts of each brackets -4x6i= -24iInsides so 3i and -3 as they are in the centre of the two brackets 3ix-3= -9i Lasts so 3i and 6i as they are at the end of each bracket 3ix6i=18i^2 ( i squared)add the answers together - 12+-24i+-9i+18i^2= 12-24i-9i+18i^2Simplify by adding like terms which is -24i and -9i. 12+-33i+18i^2 is the answerA community is building a new outdoor basketball court. The length of the court is twice the width.
Answer:
Step-by-step explanation:
The width of the basketball court is given by W(A) = √(A/2), and the length is given by L(A) = √(2A). These expressions allow you to calculate the width and length of the court for a given area A in square feet.
The problem states that the width of the basketball court (W) can be modeled by the equation:
W(A) = √(A/2)
where A is the area of the court in square feet.
Since the length (L) of the basketball court is twice the width (W), we can express it as:
L = 2W
Now, let's find the expression for the length (L) in terms of the area (A) of the court.
Step 1: Substitute the value of W from the given model into the expression for L:
L = 2 × √(A/2)
Step 2: Simplify the expression:
L = √(4A/2)
L = √(2A)
So, the expression for the length (L) of the basketball court in terms of its area (A) is given by L = √(2A).
To summarize, the width of the basketball court is given by W(A) = √(A/2), and the length is given by L(A) = √(2A). These expressions allow you to calculate the width and length of the court for a given area A in square feet.
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Complete question :- A community is building a new outdoor basketball court. The length of the court is twice the width. The width of the basketball court in feet can be modeled by w(A)= √A/2 where a is the area in square feet of the court.
It’s time to lock down the design details for the redesigned Brick and Egyptian candles. Because of manufacturing constraints, the base length for each candle has to be at least 2 cm and can be no more than 10 cm. Make a recommendation for the base dimensions of each candle. Explain how you determined your base dimensions. Your reasoning does not have to be all math related.
Answer:
THE SMALLEST FORMS:
- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3
- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3
- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3
- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3
The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.
THE BIGGEST FORMS:
- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3
- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3
- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3
- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3
The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is 0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle
The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market, you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.
If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.
Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:
Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4
The new length is 10-4=6 and the new width is 2+4=6.
Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)
Determine the length of the line segment shown.
line segment from negative 3 comma 10 to 4 comma negative 1
13 units
12 units
7 units
3 units
The length of the line segment is (a) 13 units
How to determine the length of the line segment?The line segment is given as
line segment from negative 3 comma 10 to 4 comma negative 1
This can be rewritten as
line segment from (-3, 10) to (4, -1)
The length of the line segment is then calculated using the following distance formula
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where
(x, y) = (-3, 10) and (4, -1)
Substitute the known values in the above equation, so, we have the following representation
Length = √[(-3 - 4)² + (10 + 1)²]
Evaluate
Length = 13
Hence, the length is 13 units
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Answer: A: 13 units
Step-by-step explanation:
This can be rewritten as
line segment from (-3, 10) to (4, -1)
The length of the line segment is then calculated using the following distance formula
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where
(x, y) = (-3, 10) and (4, -1)
Substitute the known values in the above equation, so, we have the following representation
Length = √[(-3 - 4)² + (10 + 1)²]
Evaluate
Length = 13
A standardized test has four forms - A, B, C, and D. Each form comes in
three colors - red, blue, and green. Just type the number answer, and
type probabilities as fractions with / representing the fraction bar.
1. How many different tests are created, based on form and color?
2. What is the probability that Linh receives a red Form C test?
3. What is the probability that Manuel receives a red or green test?
PLEASE HELP 20 POINTS WILL VOTE BRAINLIEST IF CORRECT!!!!!!!!!!!!!!!
Answers in bold:
number of tests = 12probability = 1/12probability = 2/3========================
Explanation:
We have 4 letters * 3 colors = 12 different forms possible.There's 1 red form C out of 12 different tests, so that's how we get to 1/12Red or green makes up 2/3 of the colors.If f(x) is given as an equation and g(x) is given as a table, how i can tell they are inverses
Answer: f(x) and g(x) both represent y of the equations
Step-by-step explanation: f(x) and g(x) both represent the y of the equation for example f(x)=mx+b or g(x)+mx+b both would be to find y of that specific equation and that would also make them inverses because you could use the table to label the inverses on a graph.
The speed of light is 3 • 105 kilometers per second. What is that in standard form?
Answer:
approximately 300,000,000 meters per second
Answer:
300,000
Step-by-step explanation:
Take 3 x 10^5 and simply add 5 zeros to 3. I know what you meant with your numbers', and this is the right answer.
. Student Class Problem Description: Create a class "Student" that is the base class for students at a school. It should have attributes for the student's name and age, the name of the student's teacher, and a greeting. It should have appropriate accessor and mutator methods for each of the attributes.
Here's the solution to your problem:Class "Student" can be created to act as the base class for students at a school. It should have attributes for the student's name and age, the name of the student's teacher, and a greeting. It should have appropriate accessor and mutator methods for each of the attributes.
Example:class Student: def __init__(self, name, age, teacher): self.name = name self.age = age self.teacher = teacher self.greeting = "Hello, my name is " + name + " and I am " + str(age) + " years old." def get
Name(self): return self.name def setName(self, name): self.name = name def get
Age(self): return self.age def setAge(self, age): self.age = age def get
Teacher(self): return self.teacher def set
Teacher(self, teacher): self.teacher = teacher def getGreeting(self): return self.greeting
Example of usage:student1 = Student("John", 18, "Mr. Smith")print(student1.getGreeting()) # Output: Hello, my name is John and I am 18 years old.
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The water slides have 4 temporary employees and 36 permanent employees. What
percentage of the employees at the water slides are temporary?
well if you think of it straight the key word is percentage
any number you multiple will be out of 100
you have to multiply each other 4 and 36
4x36=144 temporary employees
what is half of 5 5/8
Answer:2 13/16
Step-by-step explanation: Divide the 5 5/8 divided by 2 equals
Answer:
2 13/16 is your answer
Step-by-step explanation:
Help please this is also confusing
Answer:
6-r
7-t
8-m
9-a
Hope this helps plz mark me s brainliest for both questions
Please help I will give out brainliest
Answer:
see below
Step-by-step explanation:
The covers ( there are 2) are
2* .9 mm = 1.8 mm
Depending on how they are defining pages
If they are defining pages as the number of papers
400 pages at .13 =
400 *.13 = 52 mm
total = 2 covers + 400 pages
= 1.8 + 52
53.8 mm
If they are defining pages as the page numbers
Each page number is on the front and back so 400/2 = 200 pieces of paper
200 pages at .13 =
200 *.13 = 26 mm
total = 2 covers + 400 pages
= 1.8 + 26
27.8 mm
Answer:
52.8 mm thick
Step-by-step explanation:
0.9mm X 2mm90 = 1.8 mm
0.13mm X 400mm = 52 mm
1.8mm + 52mm = 53.8 mm
i’ll give u brainliest!!
what are the areas for shape 1,2 and 3
Answer:
I think it is
1: 22.37
2:16.81
3:83.16
Step-by-step explanation:
Answer:
Shape 1: 22.365
Shape 2: 16.81
Shape 3: 83.16
Step-by-step explanation:
I'm going to start with 2, because its the easiest shape to do, which is 4.1*4.1= 16.81. Next is 3, which you find the length by adding 4.1 to 9.1 = 13.2. You then multiply 13.2 by 6.3 = 83.16. Finally for shape 1, you first find the bottom shape, which you do by dividing 6.3 by 2 so you can get the width of half the triangle. That is 3.15. then you multiply that by 7.1 to get the area of 22.365.
Fifty students were eating lunch in the school cafeteria. The ratio of boys to girls was 25:25. Mrs. White asked Kym to explain what that ratio meant. Kym said it meant that 25% of the students in the cafeteria were boys.
Explain why Kym is incorrect.
Answer:
Kym is wrong because instead of 25% it would be 50 percent
Step-by-step explanation:
Answer:
Sample Response: The ratio of boys to total students was 25:50. Written as a fraction, this is 25/50. Rewrite the fraction with a denominator of 100 to 50/100. So 50% of the students were boys.
You might wanna change up some words so the teacher doesn't know your cheating lol
3/10 divided divided by 6 =
Answer:
.05 or 1/20
Step-by-step explanation:
If you meant 3/10 divided by 6 then the answer is .05 aka 1/20
May I have brainliest if this helped you?
Hope this helped!!
Bella was here :)
You either meant the fraction 3/10 by 6 or 3 divided 10 divided by 6
Since I am not sure which one, I will do the work for both
1. 3/10 / 6
Convert 6 into a fraction
6 = 5 10/10
5 10/10=50/10
3/10 / 50/10
3/10 * 10/50 = 30/500
30/500= 3/50
3/50
2. 3 divided by 10 divided by 6
3 divided by 10 = 0.3
0.3 divided by 6 = 0.05
0.05
Hope this helps
a variable needs to be eliminated to solve the system of equations below.
x-7y= -45 -x+8y=51
Eliminate x by adding the two equations, yielding \(y = 6\). Then, substitute y into either equation to solve for x, obtaining \(x = -3\). The solution is \((-3,6)\).
What is equation?An equation is a mathematical statement that uses symbols, numbers, and variables to show that two expressions are equal, typically with an equal sign between them.
A variable is a quantity or symbol that can take on different values in a mathematical expression, equation, or formula, typically represented by a letter.
To eliminate a variable in a system of equations, we want to find a way to add or subtract the two equations so that one of the variables is eliminated.
In this case, we can eliminate the variable x by adding the two equations
\(x- 7y = -45\)
\((-x +8y = 51)\)
\(y = 6\)
Now that we have found the value of y, we can substitute it into either of the original equations to solve for x. Let's use the first equation
\(x-7y = -45\\x- 7(6) = -45\\x = -45+42\\x = -3\)
Therefore the solution to the system of equations is \(x= -3\) and\(y= 6\)
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the solution to the system of equations is (x, y) = (-3, 6).
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
To eliminate the variable x, we can add the two equations together. This will result in the x variable being eliminated, leaving us with an equation in terms of y:
(x - 7y) + (-x + 8y) = -45 + 51
Simplifying and solving for y, we get:
y = 6
Now that we know the value of y, we can substitute it into one of the original equations to solve for x. Using the first equation:
x - 7(6) = -45
Simplifying and solving for x, we get:
x = -3
Therefore, the solution to the system of equations is (x, y) = (-3, 6).
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In a window display flower shop, there are 3 spots for 1 plant each. to fill these 3 spots, emily has 6 plants to select from, each of a different type. selecting from the 6 plants, emily can make how many possible display arrangements with 1 plant in each spot?
Using the permutation formula, it is found that Emily can make 120 arrangements with 1 plant in each spot.
We are working with an arrangement, which means that the order in which the plants are inserted is important, hence the permutation formula is used to solve this question.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
\(P_{(n,x)} = \frac{n!}{(n-x)!}\)
In this problem, 3 plants are selected from a set of 6, hence the number of arrangements is given by:
\(P_{(6,3)} = \frac{6!}{3!} = 120\)
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What do the following two equations represent? Y-3=2(x-3) and y+5=2(x+1)
Answer:
A The same line.
Step-by-step explanation:
❗️PLEASE HELP ❗️
Bill makes 30 flags in 3 3/4 hours. How many flags can Bill make in 3 hours
Answer:
30/ 15 = 2, 2 * 12 = 24 Answer: 24 flags
Step-by-step explanation:
I split it up into 1/4’s. Hope you get at good score.
Before ordering numbers, what from would you need to make them all into
Answer:
To order the numbers, start with the lowest (first) and work your way up (last). This is referred to as "Ascending Order." Consider climbing a mountain.
The wholesale price for a chair is $165. A certain furniture store marks up the wholesale price by 20%. Find the price of the chair in the furniture store. Round your answer to the nearest cent, as necessary.
Answer:
$198
Step-by-step explanation:
Given data
WholeSale price= $165
Markup = 20%
Let us find the amount of the markup
=20/100*$165
=0.2*165
=$33
Hence the cost of the chair will be
=33+165
=$198
Find the radius of convergence and interval of convergence of the following power series. Show work including end point analysis. (-1)^n(x^2)^n/n2^n
a. Radius of convergence is 1. b. Interval of convergence is [-1, 1]. c. End point analysis:
In summary, the radius of convergence is √2 and the interval of convergence is [-√2, √2].
To find the radius of convergence and interval of convergence of the power series, we can use the ratio test.
The given power series is:
∑ ((-1)^n (x^2)^n) / (n*2^n)
Let's apply the ratio test:
lim(n->∞) |((-1)^(n+1) (x^2)^(n+1)) / ((n+1)2^(n+1))| / |((-1)^n (x^2)^n) / (n2^n)|
Simplifying and canceling terms:
lim(n->∞) |(-1) (x^2) / (n+1)*2|
Taking the absolute value and applying the limit:
|(-1) (x^2) / 2| = |x^2/2|
For the series to converge, the ratio should be less than 1:
|x^2/2| < 1
Solving for x:
-1 < x^2/2 < 1
Multiplying both sides by 2:
-2 < x^2 < 2
Taking the square root:
√(-2) < x < √2
Since the radius of convergence is the distance from the center (x = 0) to the nearest endpoint of the interval of convergence, we can take the maximum value from the absolute values of the endpoints:
r = max(|√(-2)|, |√2|) = √2
Therefore, the radius of convergence is √2.
For the interval of convergence, we consider the endpoints:
When x = √2, the series becomes:
∑ ((-1)^n (2)^n) / (n*2^n)
This is the alternating harmonic series, which converges.
When x = -√2, the series becomes:
∑ ((-1)^n (2)^n) / (n*2^n)
This is again the alternating harmonic series, which converges.
Therefore, the interval of convergence is [-√2, √2].
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What is the area of AFGH?
-10 -8 -6
H
Area =
-4 -2
square units
104
-8
6
4
2
0
2
-4
-6
-8
-10
4
6
8
00
F
X
10
G
Answer:
-2 = x 4-2 square units
Step-by-step explanation:
sum = as per as chart
Solve for x
-2/5x - 8/15x + 1/3x = -54
x=?
Answer:
x=0
Step-by-step explanation:
solve for x by simplifying both sides of the equation, then isolating the variable. which got me x=0
Answer:
x = 1/90
or
x = 90^-1
Step-by-step explanation:
-2/5x - 8/15x + 1/3x = -54
-9/15x = -54
-3/5x = -54
3x = 270x
270x = 3
x = 1/90, x ≠ 0
What is the TOTAL cost of a Texas Roadhouse bill of $65 if you give a 20% tip
Answer:
hey there 65 x 1.20= 78 dollars for the total cost
Step-by-step explanation:
On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities.10.38 9.08 11.7 6.4 12.32 14.43 15.4610.02 14.4 16.08 17.5 19.08 17.88 12.7516.7 17.25 15.54 14.7 18.81 17.89 14.818.32 15.95 26.75 22.22 22.66 20.88 23.3518.95 23.6 19.16 23.65 27.7 26.95 27.0426.89 24.58 37.76 26.41 38.91 29.36 41.55(a)Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.)H0:Ha:(b)What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)(c)At α = 0.05, can your null hypothesis be rejected? What is your conclusion?Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.(d)Repeat the preceding hypothesis test using the critical value approach.State the null and alternative hypotheses. (Enter != for ≠ as needed.)H0:Ha:Find the value of the test statistic. (Round your answer to three decimal places.)State the critical values for the rejection rule. Useα = 0.05.(Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistic≤test statistic≥State your conclusion.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.
The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .
The charge at which anything happens is referred to as the velocity at which it happens.
The required details for mean rate :
(a) H0: µ = 21.62
Ha: µ ≠ 21.62
(b) t = -1.231
p-value = 0.2253
(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.
(d) H0: µ = 21.62
Ha: µ ≠ 21.62
t = -1.231
check statistic ≥ 2.020
Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.
The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.
The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.
The crucial values for t at this level of significance are t=2.019.
Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.
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Piece of Ice Used K 20 centimeters. 33 centimeters
The volume of the remaining piece of ice cube is 6911.5 cubic cm
How to determine the volume of the remaining pieceFrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
Radius, r = 20/2 = 10 cm
Height, h = 33 cm
The volume of the remaining piece is calculated is
V = 2/3πr²h
Substitute the known values in the above equation, so, we have the following representation
V = 2/3 * 22/7 * 10² * 33
Evaluate
V = 6911.5
Hence, the volume of the remaining piece is 6911.5 cubic cm
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