Answer:
2x-6
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x - 3)^2 = x^2 - 3x - 3x + 9 = x^2 - 6x + 9
Help PLEASEEE!!!
Given that AC=30, AB=5x-21, BC=3y+4, CD=2x-3, and DA=4x+1, find the indicated variables for each question. Find the value of x, y, z.
Answer:
x = 6
y = 7
z = 23
Step-by-step explanation:
ÀC = z + 7
30 = z + 7
30 - 7 = z
z = 23
2x - 3 = 5x - 21
21 - 3 = 5x -2x
18 = 3x
x = 18÷3
x = 6
4x + 1 = 3y + 4
4(6) + 1 = 3y + 4
25 = 3y + 4
3y = 25 - 4
y = 21 ÷ 3
y = 7
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help ASAPPP I HAVE 5 MINUTES
Answer:
D. w = 27
Step-by-step explanation:
36+22 = 58
180 - 58 = 122
4w + 14 = 122
4w = 108
w = 27
which of the following are magnitudes for rotational symmetry of the isosceles trapezoid below about the marked point?
The isosceles trapezoid has rotational symmetry about the marked point. This means that when the trapezoid is rotated by an angle of 360°, it will look the same as it did before. Since the trapezoid has 4 sides, the rotational symmetry is 4-fold, or 4 magnitude. Therefore, the answer is b) 4.
The correct answer is b) 4, as the isosceles trapezoid has 4-fold rotational symmetry about the marked point.The answer is b) 4, as the isosceles trapezoid has 4-fold rotational symmetry about the marked point.
The isosceles trapezoid has rotational symmetry about the marked point. This means that when the trapezoid is rotated by an angle of 360°, it will look the same as it did before. Since the trapezoid has 4 sides, the rotational symmetry is 4-fold, or 4 magnitude. Therefore, the answer is b) 4.
The correct answer is b) 4, as the isosceles trapezoid has 4-fold rotational symmetry about the marked point.The answer is b) 4, as the isosceles trapezoid has 4-fold rotational symmetry about the marked point.
The complete question is :
Which of the following are magnitudes for rotational symmetry of the isosceles trapezoid below about the marked point?
a) 2
b) 4
c) 6
d) 8
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Which graph represents y as a function of x?
===========================================================
Reason:
This graph passes the vertical line test, so it is a function.
The vertical line test is where we try to pass a single vertical line through more than one point on the curve. If such a thing is possible, then we say the curve fails the vertical line test and it's not a function.
Graph D for instance can have a vertical line through x = 1 and intersect the curve at (1,4) and (1,-4) simultaneously. The input x = 1 leads to multiple outputs (y = 4 and y = -4). Graph D fails the vertical line test for this very reason, and it is not a function. Graphs A and B are similar stories. Any vertical line itself is automatically not a function.
To have a function, any x input in the domain must lead to exactly one and only one y output in the range.
---------
Notice with graph C it is impossible to have a single vertical line intersect more than one point on the curve. So this is why graph C passes the vertical line test. Each input leads to exactly one output.
you guys help me please
Answer:
i got the first one
plz help me rate me brainest
chau made $270 for 18 hours of work. At the same rate, how many hours would he have to work to make $105
Answer:
7 hours
Step-by-step explanation:
here,
270/18=105/x
x=(105*18)/270
x=7
Chau made $270 for 18 hours of work. At the same rate, Therefore Chau would have to work 7 hours at the same rate to make $105.
To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:
Let x be the number of hours Chau needs to work to make $105.
We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:
Rate = Total earnings / Number of hours
Rate = $270 / 18 hours
Rate = $15 per hour
Now, we can set up the proportion:
$15 per hour = $105 / x hours
To find x, we can cross-multiply:
$15 × x = $105
Now, solve for x:
x = $105 / $15
x = 7 hours
So, Chau would have to work 7 hours at the same rate to make $105.
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On June 1, 2009, the price of gas was $1.79 per gallon. The price is
predicted to increase 0.3% per month. If that prediction is correct, about
how many months, to the nearest whole number, will it take for the price
of a gallon to reach $1.90?
The number of months that it would take for the price of the gallon to get to 1.90 dollars is 20 months.
How to solve for the number of monthsWe have the following details with which we are to solve this problem.
The price of gas is given as $1.79
The rate of increase is given as 0.3% = 0.003
We are to find the value for when it would be $1.90
The formula that would be used to solve this is given as
\(F = P * (1 + r)^n\)
Where f = final value
p = present value
r = rate
n = number of months
From the question
f = 1.90
p = 1.79
r = 0.03
we have to put these values in the formula that we have here
\(1.9 = 1.79 * (1 + 0.03)^n\)
\(1.9 = 1.79 * (1.003)^n\)
Divide through by 1.79
\(\frac{1.9}{1.79} = (1.003)^n\)
take the ln of both sides
\(ln\frac{1.9}{1.79} = nln(1.003)\)
We have to simplify the equation above from this stage
ln1.0615 = n0.002995
0.05968 = n0.002995
divide through by the value of n
n = 0.05968 / 0.002995
n = 19.92
n ~ 20
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enter a simplified expression to represent the situation.
This week Leo worked (x + 5) hours at a pizzeria. He is paid (x − 5) dollars per hour. Leo's friend Frankie earned worked the same number of hours, but he is paid (x − 6) dollars per hour.
Enter an expression for the total amount paid to the two workers. Then find the total amount if x = 15.
The expression for the total amount paid is .
The total amount paid to the two workers was $
x-15/x-16
Step-by-step explanation:
leo earns -15 dollar in x15 and frankie earns -15 dollar in x-15
The Ozzie Chocolate Company is preparing to offer a new product in its candy offerings, the Minty Dark Chocolate Bite bar. Material costs per new candy bar are
$0.25 for chocolate, $0.02 for sugar, and $0.03 for mint flavoring. Labor costs of the new product are approximately $0.15 per bar. Adding a production line devoted to the new candy will cost $250,000 per year.
(a) If the sales price is $1.40 per candy bar, how many must the company make per year in order to break even? Assume that each bar made is sold at full price.
(b) What is the company's profit or loss if they make and sell 270,000 candy bars at the $1.40 price in the first year?
(c) About 20% of the food consumed in the U.S. is imported. Production in many industries has been offshored. What ethical issues do companies face when presented with the decision to move operations?
Answer:
a) 263,158
b) $164,500
c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
Step-by-step explanation:
a)
Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000
Total revenue = 1.40x
Setting the two equations equal to each other and solving for x, we get:
(0.45)x + 250,000 = 1.40x
0.95x = 250,000
x ≈ 263,158
b)
If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:
270,000 * $1.40 = $378,000
The total cost of producing 270,000 candy bars is:
(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500
Therefore, the company's profit is:
$378,000 - $213,500 = $164,500
c)
Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
ILL GIVE BRAINLY What is the surface area of the cube?
Drag and drop the correct surface area to match the cube.
Answer:
Below
Step-by-step explanation:
A cube has SIX sides of equal area
each side has area = L x W and L and W are the same = 4.5 m
so: Area = six X ( 4.5 X 4.5) = 6 * 4.5 * 4.5 = 121.5 m^2
Answer:
Hope the picture will help you...
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
Francium is an element with a half-life of 22 minutes. 1000 grams of francium is placed into a bowl determine how much Francium (in grams) will be left after 2 hours
The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.
Half-life problemTo determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.
Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):
Number of half-lives = (Total time elapsed) / (Half-life)
Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545
Since we can't have a fraction of a half-life, we take the integer part, which is 5.
Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:
Remaining amount = Initial amount * (1/2)^(Number of half-lives)
Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:
Remaining amount = 1000 grams * \((1/2)^5\)
Remaining amount ≈ 1000 grams * 0.03125
Remaining amount ≈ 31.25 grams
Therefore, after 2 hours, approximately 31.25 grams of francium will be left.
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HELP PLEASEEEEEEEEEEE
Answer:
c
Step-by-step explanation:
Eight students in Ms. Reese's class decided to purchase their textbook from two different sources. Some of the students purchased the textbook from the colleg
bookstore for $16.50. The rest of the students purchased the textbook from an online discount store for $11.00 per book. If the total amount spent by the eight
students is $121.00, how many students purchased the book online?
students purchased the book online.
If the total amount spent by the eight students in Ms. Reese's class is $121.00, using a system of equations, the number that purchased from the:
College Bookstore = 6Online = 2.What is a system of equations?A system of equations is two or more equations solved at the same time or concurrently.
It is also known as simultaneous equations.
The total number of students in Ms. Reese's class who decided to purchase their textbook from two different sources = 8
The unit cost per textbook from the college bookstore = $16.50
The unit cost per textbook from an online discount store = $11.00
The total spending by the eight students = $121.00
Let the number of students who purchased from the college bookstore = x
Let the number of students who purchased from an online discount store = y
Equations:x + y = 8 …Equation 1
16.5x + 11y = 121 …Equation 2
Multiply Equation 1 by 11:
11x + 11y = 88 …Equation 3
Subtract Equation 3 from Equation 2:
16.5x + 11y = 121
-
11x + 11y = 88
5.5x = 33
x = 6
Substitute x = 6 in either equation:
x + y = 8
6 + y = 8
y = 2
Thus, 6 students purchased their textbooks from the college bookstore while 2 purchased online.
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help please! will mark brainliest!!
9514 1404 393
Answer:
x = 7.5
Step-by-step explanation:
The parallel lines divide the transversals proportionally, so we have ...
x/5 = 6/4
x = 5(6/4) . . . . multiply by 5
x = 7.5
A ship leaves port on a bearing of 36.0° and travels 12.1 mi. The ship then turns due east and travels 6.1 mi. How far is the ship from port, and what is its bearing
The bearing angle exists 53.49°.
How to estimate the bearing angle of a ship?A bearing of 36° corresponds to the corresponding angle of
θ = 90 -36 = 54°
The (x, y) values for the position of the ship after achieving its first heading exist:
\(x_1\) = 12.1 Cos 54° = 7.11 m
\(y_1\) = 12.1 Sin 54° = 9.78 m
Our second displacement exists a simple 4.6 mi due east, that exists, the positive x-direction. The components exist therefore
\(x_2\) = 6.1 mi
\(y_2\) = 0 mi
To find the total displacement from the port, we'll add these two vectors' components and use the distance formula:
Δx \(= x_1+x_2\)
= 7.11 mi + 6.1 mi = 13.21 mi
Δy \(=y_1+y_2\)
= 9.78 mi + 0 mi = 9.78 mi
\($r=\sqrt{(x_{total})^2+(y_{total})^2}\)
\(=\sqrt{(13.21mi)^2+(9.78mi)^2}\)
= 16.43 mi
The direction of the displacement vector exists given by
tan θ = Δy/Δx
θ = arc tan (Δy/Δx)
= arc tan (9.78/13.21)
= 36.51°
The question requested for the bearing angle, which exists just this angle subtracted from 90°:
90° - 36.51° = 53.49°.
Therefore, the bearing angle exists 53.49°.
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Pls pls help me I will mark you brainest
y values: 3,4,5,6
x values: 5,10,15,20
Step-by-step explanation:
I used a graphing calculator but y is increasing by one and x increases by 5 each time
Answer:
See below.
Step-by-step explanation:
A's number is x. B's number is y.
x = 5y - 10
First row: What is x when y= 3?
x = 5y - 10 = 5*3 - 10 = 15 - 10 = 5; x = 5
Second row: What is x when y = 4?
x = 5y - 10 = 5*4 - 10 = 20 - 10 = 10; x = 10
Third row: What is y when x = 15?
x = 5y - 10
Add 10 both sides x + 10 = 5y - 10 +10
x + 10 = 5y
But we're told x = 15, so 15 + 10 = 5y
25 = 5y
Divide both sides by 5 25/5 = 5y/5
5 = y y = 5
Fourth row: What is x when y = 6?
x = 5y - 10 = 5*6 - 10 = 30 - 10 = 20; x = 20
What is the value of the following expression: (A−B={})⇒¬(A⊂B) False (regardless of how A and B are defined) True (regardless of how A and B are defined) depends on how sets A and B are defined What is the value of the following expression: ((A∩B)=(A∪B))⇒(A=B) True (regardless of how A and B are defined) depends on how sets A and B are defined False (regardless of how A and B are defined) What is the value of the following expression: (A∈B)⇒¬(A⊆B) False (regardless of how A and B are defined) depends on how sets A and B are defined True (regardless of how A and B are defined)
The value of the first expression is: depends on how sets A and B are defined.
The value of the second expression is: True (regardless of how A and B are defined).
The value of the third expression is: False (regardless of how A and B are defined).
(A−B={})⇒¬(A⊂B). This expression is a conditional statement that says if the set difference between A and B is an empty set, then A is not a subset of B. If A and B are defined such that A is not a subset of B, then the expression is true. If A and B are defined such that A is a subset of B, then the expression is false. However, if A and B are defined such that A−B={} is true (i.e., A and B have no elements in common), then the expression is true regardless of whether A is a subset of B or not.((A∩B)=(A∪B))⇒(A=B).This expression is also a conditional statement that says if the intersection of A and B is equal to their union, then A is equal to B. This expression is always true, regardless of how A and B are defined. This is because if the intersection of two sets is equal to their union, then the two sets must have the same elements.(A∈B)⇒¬(A⊆B).This expression says that if A is an element of B, then A is not a subset of B. This expression is false regardless of how A and B are defined. This is because if A is an element of B, then A is also a subset of B (i.e., A⊆B). Therefore, the negation of A⊆B (i.e., ¬(A⊆B)) is always false.Learn more about sets here:https://brainly.com/question/13458417
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Sketch the graph of the solution set of the system of inequalities. Label the vertices of the region. 3x + 7y < 21 x > 0 y > 0
The graph of the equations 3x + 7y < 21, x > 0, and y > 0 are attached
The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph
What are inequality graph?The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.
These inequalities are frequently linear and can be represented by straight line graphs.
To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.
A solid line indicates that the line is present.
The line is not included if it is dotted.
The graphs for the equation is plotted and attached
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When signing the lease for his $750.00 per month rental property. Stanley will have to pay the first and last months rent and a security deposit equal to 30% of one month's rent. If Stanley currently earns an average bi-weekly net pay of $1,050.00, determine what percent of his monthly pay he will need to save if he wants to save enough money to sign the lease in three month.
Answer:
Step-by-step explanation:
tax
The problem is in the picture
Answer
r=10
Step-by-step explanation:
find three consecutive even integers such that the sum of the smaller and three times the larger Is 84
Using the concept of the word problem and utilizing the provided conditions and values, The answer is 18, 20, and 22.
What is a word problem?A word problem in mathematics is a problem or exercise that is expressed in a natural language, rather than in mathematical notation. These types of problems often present a real-world situation that involves mathematical concepts, such as numbers, operations, or measurements. They typically require the use of mathematical reasoning and problem-solving skills to understand the problem and find a solution. Examples of word problems include: "If a train travels 60 miles per hour and you want to know how far it will travel in 4 hours", "If a rectangle is 6 meters long and 4 meters wide, what is its area?", "If a bag contains 3 red balls and 4 blue balls, what is the probability of picking a blue ball?"
What are conditions of the problem?In a mathematical problem, the conditions refer to the specific information or constraints provided in the problem statement that must be taken into account in order to find a solution. These conditions can include information about the quantities involved in the problem, the operations that need to be performed, or the specific requirements that the solution must meet.
Let x be the smallest of the three consecutive even integers. Then the next two integers are x+2 and x+4. We know that:
x + (x+4) * 3 = 84
Expanding and solving for x:
x + 3x + 12 = 84
4x = 72
x = 18
So the three consecutive even integers are 18, 20, and 22.
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In a triangle ABC,point D divides side DC in the ratio AD:DC is 1:2
The two sides are x and 2x.
What is a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.
Given here: In a triangle ABC,point D divides side DC in the ratio AD:DC is 1:2
Thus the two sides are x and 2x respectively.
and x+2x=DC
Hence, The two sides are x and 2x.
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A parabola is the set of all points that...
Answer:
is equidistant from a focus point and a line
Answer:
what
Step-by-step explanation:
pa brainliest tol please
Can someone help me how to solve this please
200/50*17/2*5/17*50
Answer:
500
Step-By-Step Explanation:
200/50 = 4
4 * 17 = 68
68 / 2 = 34
34 x 5 = 170
170 / 17 = 10
10 x 50 = 500
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is: Compute E(Y) Suppose an individual with Y violations incurs a surcharge of $100Y2. Calculate the expected amount of the surcharge.
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is:
y | P(Y)
0 | 0.50
1 | 0.20
2 | 0.25
3 | 0.05
Compute E(Y)
Suppose an individual with Y violations incurs a surcharge of $100Y2. Calculate the expected amount of the surcharge.
Answer:
The expected value E(Y) is
\(E(Y) = 0.85\)
The expected amount of the surcharge is
\(E(100Y^2) = 165\)
Step-by-step explanation:
Let Y be the number of moving violations for which the individual was cited during the last 3 years.
The given probability mass function (pmf) of Y is
y | P(Y)
0 | 0.50
1 | 0.20
2 | 0.25
3 | 0.05
Compute E(Y)
The expected value E(Y) is given by
\(E(Y) = \sum Y \cdot P(Y) \\\\E(Y) = 0 \cdot 0.50 + 1 \cdot 0.20 + 2 \cdot 0.25 + 3 \cdot 0.05 \\\\E(Y) = 0.85\)
Suppose an individual with Y violations incurs a surcharge of $100Y2. Calculate the expected amount of the surcharge.
The expected amount of the surcharge is given by
\(E(100Y^2) = 100E(Y^2)\)
Where
\(E(Y^2) = \sum Y^2 \cdot P(Y) \\\\E(Y^2) = 0^2 \cdot 0.50 + 1^2 \cdot 0.20 + 2^2 \cdot 0.25 + 3^2 \cdot 0.05\\\\E(Y^2) = 1.65\)
So, the expected amount of the surcharge is
\(E(100Y^2) = 100E(Y^2) \\\\E(100Y^2) = 100 \cdot 1.65 \\\\E(100Y^2) = 165\)
Snail moves 6 inches in 120 minutes. What was average speed of snail in inches per minute
Answer:
.2 inches a min.
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
6 divided by 120 = 0.05
Hope this helps☺️
Which of the following sets of ordered pairs (x,y) is NOT a function of x?
A.
{(0,1),(1,0),(1,1)}
B.
{(0,0),(1,1),(2,2)}
C.
{(0,0),(1,1),(2,1)}
D.
{(0,1),(1,1),(2,1)}
Answer:
The answer is A.
Step-by-step explanation:
hope this helps
Divide four people into three rooms, in which only one room could host two people. How many ways are there to arrange them so that A, B are not in the same room
Step-by-step explanation:
AC B D
AD B C
A BC D
A BD C
hope it's right
HELP ME OUT PLS!!!!
The radius of a sphere is 7 cm. What is the sphere's volume? Round to the nearest tenth, and use 3.14 for pi.
O 723,2 cm
O 1868.2 cm
O 1436,0 cm
O 2052,5 cm
⠀
Explanation :
⠀
We know,
\({ \longrightarrow{\qquad \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}\)
⠀
Here,
The radius of the sphere is 7 cm.We will take the value of π as 3.14⠀
Substituting the values in the formula :
⠀
\({ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times3.14 \times {\bigg(7 \bigg)}^{3} }}}\)
⠀
\({ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times 343 }}}\)
⠀
\({ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4 \times 3.14 \times 343}{3} }}}\)
⠀
\({ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4308.08}{3}}}}\)
⠀
\({ \longrightarrow{\qquad \pmb {\sf Volume_{(Sphere)} = 1436.02 }}}\)
⠀
Therefore,
The volume of the sphere is 1436.0 cm³