Answer:
True
Step-by-step explanation:
Angles 1 and 5 match each other; they are congruent and in the same positions. There are therefore corresponding.
Find the equation of the lines in point-slope form with the
following properties.
slope = -5 and passes through (4, -1).
Answer:
y +1 = -5(x -4)
Step-by-step explanation:
You want the point-slope equation of the line with slope -5 through point (4, -1).
Point-slope equationThe point-slope equation of a line has the form ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
ApplicationSubstituting m=-5 and (h, k) = (4, -1), the equation is ...
y -(-1) = -5(x -4) . . . . . . values substituted
y +1 = -5(x -4) . . . . . . . simplified a bit
Charlotte has a peice of string that is 14 feet long. She cuts it into pieces that are each 1/3 foot long. How many cut pieces of string does charlotte have?
Answer:
42
Step-by-step explanation:
Since each cut is 1/3 of a foot, you can tell that it will take 3 pieces to make 1 foot. Based on that ratio, you can do 14*3, which is 42 pieces.
Cho f(x, y) = x cos(xy). Tính f”xy(π2, −1)
because the cos(xu
y) so the formula have to be cos
In mathematics, the radical sign, radical symbol, root symbol, radix, or surd is a symbol for the square root or higher-order root of a number. The square root of a number x is written as {\displaystyle {\sqrt {x}}, } while the nth root of x is written as {\displaystyle {\sqrt[{n}]{x}}.} Wi
Answer:
Step-by-step explanation:
Answer:
What are you asking?
The net price equivalent rate of 9 / 15 / 18 is
Answer:
f so final percentage
= .91(.85)(.82) = .63427
or 63.427% of the original price
Step-by-step explanation:
Jessica's room has a scale factor of 2 in : 10 ft. What are the new dimensions of her room?
Answer:
If scale factor of any object is \(\[x\]\) then all dimensions multiplied by \(\[x\]\).
Step-by-step explanation:
• The dimensions of Jessica’s room is given that is 10 ft and as the mentioned above , scale factor multiplied with dimensions to give the actual dimensions.
• Therefore new dimensions of Jessica’s room is \(\[10.(2)=20ft\]\)
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Which of the following source documents is used to summarize all of the costs incurred for a specific job?
Answer:
job cost sheet.
Step-by-step explanation:
When planning or working on a specific project/job all the actual costs that are incurred for that job are written down in the job cost sheet. This report is an entire compilation that should be created by the accounting department and then distributed to all the members of the management department who then analyze it and determine whether the job was correctly bided. This sheet gets updated as the job is undergoing and fully completed when the job is closed.
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Add.
0.6+(-2.1)
Enter your answer, as a decimal, in the box.
Answer:
0.6-2.1=1.5
Step-by-step explanation:
0.6-2.1=-1.5
0.6-2.1= - I2.1-0.6I
2.1
-0.6
--------
1.5
18. What is the probability that the student plays football?
(a) 35 /66 (b) 20 /33 (c) 13 /33 (d) 3 /22
The probability that the student plays football is 20/33.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
The probability that the student plays football = total number of students who play football / total number of students
total number of students who play football = 26 + 3 + 5 + 6 = 40 total number of students = 26 + 3 + 5 + 6 + 9 + 7 + 10= 66The probability that the student plays football = 40/66 = 20/33
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Part A (4 pt): Fill in the missing steps to solve the
inequality. 2x+2/+428
-4-4
√x+25.
2
xs
2
XS
√x+2
+2 2.
1x2 2
(0) (0)²2
-2 -2
Question 7
Part B (2 pt): Draw the solution to the equation
on the number line provided. (Remember to
Include
your open/closed dots)
-24-20-16-12-8 -4 0 4 8 12 16 20 24
C
The solution to the inequality is: x <= -8 or x >= -8 and [-24, -11] U [7, 24] for number line.
What is inequality?
An inequality is a mathematical statement indicating that one expression is less than or greater than another expression. It involves the use of inequality symbols such as <, >, ≤, or ≥ to compare two values.
|(1/4)x + 2| + 4 >= 8
First, we isolate the absolute value term on one side by subtracting 4 from both sides:
|(1/4)x + 2| >= 4
Next, we split the inequality into two cases: one where the quantity inside the absolute value is positive, and one where it is negative:
(1/4)x + 2 >= 0 or (1/4)x + 2 <= 0
Solving for x in each case, we get:
(1/4)x >= -2 or (1/4)x <= -2
x >= -8 or x <= -8
Therefore, the solution to the inequality is:
x <= -8 or x >= -8
Or, in interval notation:
(-∞, -8] U [-8, ∞)
B. -24 -20 -16 -12 -8 -4 0 4 8 12 16 20 24
And the solution would be:
[-24, -11] U [7, 24]
The closed dot at -24 indicates that -24 is included in the solution, while the open dot at -11 indicates that -11 is not included.
The closed dot at 7 indicates that 7 is included, while the closed dot at 24 indicates that 24 is included in the solution.
Therefore, the solution to the inequality is: x <= -8 or x >= -8 and [-24, -11] U [7, 24] for number line.
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find an equation that passes through (1 ,2) and is parallel y=3x-9
Answer:
A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the point (1, 2)
Substituting the values we get:
y - 2 = 3(x - 1)
Simplifying the equation we get:
y - 2 = 3x - 3
y = 3x - 1
Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .
;>
Pedro earns $94.50 for 6 hours of work. If he makes a constant hourly wage, which table represents the relationship between the number of hours he works and his total earnings?
please help me
Answer:
The answer is most likely A.
The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:
94.50/6 = 15.75
Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.
Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.
Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.
Option A is correct!
Step-by-step explanation:
Hope it helps! =D
Solve
-14 - 7
A. -21
B. -7
C. 7
D. 21
Answer:
since negative and negative are plus we add it but not
change the sign
Step-by-step explanation:
so the answer is -21
hope I helped
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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What is the position of A on the number line below?
Write your answer as a fraction or mixed number.
The position of A on the number line is
What is number line?Number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line.
As seen of the number line above , it is numbered in the sequence, 1,.. 2,...3 and the intervals are indicated.
Between 0 and 1 there are 5 lines, these means that each line will be 4/5
If 1 line is 4/5 , therefore ;
4 lines will be 4 × 4/5
= 16/5 = 3 1/2
Therefore the position of A on the number line is 3 1/2
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A soccer ball travels upward from a height of 11 feet with an initial velocity of 20
feet per second. The quadratic function h (t) = -16t² + 20t+11 models the height
of the ball, where h (t) is the height, in feet, of the soccer ball and t is the time that
ball has been in the air, in seconds. When is the soccer ball above 15 feet?
A. The soccer ball is above 15 feet between 0 seconds and 0.5 second.
B. The soccer ball is above 15 feet between 0.5 second and 1 second.
C. The soccer ball is above 15 feet between 0:25 second and 1
second.
D. The soccer ball is above 15 feet between 0 seconds and 0.25 second.
The soccer ball is above 15 feet between 0.25 seconds and 1 second.
To determine when the soccer ball is above 15 feet, we need to find the values of t that satisfy the inequality h(t) > 15.
Given the quadratic function h(t) = -16t² + 20t + 11, we can rewrite the inequality as follows:
-16t² + 20t + 11 > 15
Subtracting 15 from both sides:
-16t² + 20t - 4 > 0
Simplifying further:
-16t² + 20t - 4 = -4(4t² - 5t + 1) = -4(t - 1)(4t - 1) > 0
Now, we can solve for t by finding the values that make the inequality true. We have two factors: (t - 1) and (4t - 1).
Setting each factor greater than zero and solving for t:
t - 1 > 0 => t > 1
4t - 1 > 0 => 4t > 1 => t > 1/4
So, we have t > 1 and t > 1/4. To satisfy both conditions, t must be greater than the maximum of 1 and 1/4, which is 1.
Therefore, the soccer ball is above 15 feet for t > 1 second.
The correct answer is:
C. The soccer ball is above 15 feet between 0.25 seconds and 1 second.
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2x+4y-10 when x=2 and Y= -3
Answer:
- 18
Step-by-step explanation:
Step 1:
2x + 4y - 10 Equation
Step 2:
2 ( 2 ) + 4 ( - 3 ) - 10 Input x and y values
Step 3:
4 - 12 - 10 Multiply
Answer:
- 18 Combine Like Terms
Hope This Helps :)
Answer: -18
Order of Operations:
Algebra 1Equation: 2x + 4y - 10
Include x and y:
2 x 2 + 4 - (-3) - 10
Multiply the numbers:
4 - 12 - 10
Combine like terms.
You get -18
solve for x. solve for x. solve forx.
Answer: I think your answer should be x=7, please mark me as brainliest! :D
Step-by-step explanation:
Solve the system of equations -x-y=-2 and 5x + 7y= 28 by combining the
equations.
The value of x = -7 and y = 9 from the system of equations .
What is System of Equation ?A finite collection of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.
simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
To create an equation in one variable using the elimination approach, you may either add or subtract the equations. To remove a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.
The equations are :
-x - y = -2 (i)
and
5x + 7y = 28 (ii)
multipling eqation (i) with 5 and then adding both equations we get,
-5x - 5y +5x + 7y = -10 + 28
⇒ 2y = 18
⇒ y = 9
Again, -x -9 = -2
or, x = -7
The value of x = -7 and y = 9 from the system of equations
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9. Find the measure of angle
a
36°
57°
Answer:
no clue bro
Step-by-step explanation:
4. What is Probability?
(ii) State the axioms of probability
(iii)Two fair dice are thrown, what is the probability of getting
(a) the sum of 9
(b) two odd numbers
(c) two prime numbers
(d) two factors of 12
4c. What is Statistics?
(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.
(ii) The axioms of probability are:
the non-negativity (that the probability of an event is greater than or equal to zero), and
the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).
(iii) When two fair dice are thrown the probability of getting:
a) The sum of 9 = 1/9
b) Two odd numbers = 1/4
c) two prime numbers = 1/9
d) two factors of 12 = 1/9
(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.
How to find probability when two dice are thrown?To find probability when two dice are thrown, we have:
(a) The sum of 9:
We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways
A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.
(b) Two odd numbers:
We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).
possible outcomes = 9,
So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.
(c) Two prime numbers
We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)
possible outcomes = 4,
So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.
(d) Two factors of 12:
We count the number of ways and divide by the total possible outcomes.
The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways
possible outcomes = 6
Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12
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Exercise 4.3
1. Given f=x^2 y; the change in for the total differential of fis given by df = Pdx+Qdy.
Find P, Q at x=1 and y=-1
(Ans: P= -2; Q=1)
Question one
By using the concept of differentiation, it can be calculated that
value of P is -2 and value of Q is 1
What is differentiation?
Differentiation is the process where the instantaneous rate of change of function can be calculated based on one variable. Differentiation is a very important tool in calculus
Here differentiation is used
f(x) = \(x^2y\)
\(df = 2xydx+x^2dy\)
Here P = 2xy, Q = \(x^2\)
At x = 1, y = -1
P = 2(1)(-1) = -2
Q = \((-1)^2\) = 1
So value of P is -2 and value of Q is 1
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Michele is starting a new pool-cleaning business. It costs her $85 to purchase supplies. Michele charges $40 each time she cleans a pool. Which equation can be used to determine the profit, y, Michele earns after she cleans x pools?
y=40x- 85
y=40x+ 85
y=85x- 40
y=85x+ 40
Answer:
Option A : y = 40x - 85 is the correct answer.
Step-by-step explanation:
Given that:
Cost of purchasing supplies = $85
Cost charged for cleaning a pool = $40
Let,
x be the number of pools cleaned.
y be the profit
Profit = Cost of pools cleaned - purchase price of supplies
y = 40x - 85
Hence,
Option A : y = 40x - 85 is the correct answer.
Which statement best explains whether the following table represents a linear or nonlinear function?
x −2 −1 0 1 2
y −4 −2 0 2 −2
A - The table represents a nonlinear function because there is not a constant rate of change in the output values.
B - The table represents a nonlinear function because there is not a constant rate of change in the input and output values.
C - The table represents a linear function because there is a constant rate of change in the input and output values.
D - The table represents a linear function because there is not a constant rate of change in the input and output values.
The correct option is,
The table represents a linear function because there is not a constant rate of change in the input and output values.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The table is shown in figure.
Now,
For Table;
The equation of line is,
⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
⇒ y - (-4) = (-2 - (-4)) / (- 1 - (-2)) (x - (-2))
⇒ y + 4 = 2/1 (x + 2)
⇒ y + 4 = 2 (x + 2)
⇒ y + 4 = 2x + 4
⇒ y = 2x
Thus, The table represents a linear function because there is not a constant rate of change in the input and output values.
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PLEASE HELP 50 POINTS AND BRAINLIEST FOR WHOEVER ANSWERS CORRECTLY!!! PLEASE HELP FAST!
1. Sharon and Geordi both worked hard over the summer. Together they earned a total of $525. Geordi earned $75 more than Sharon.
(a) Write a system of equations for the situation. Use s for the amount Sharon earned and g for the amount Geordi earned.
(b) Graph the equations of the system on the graph provided
Answer:
s + g = 575
g = 75 + s
g = 325
s = 250
Step-by-step explanation:
Given that :
Total amount earned by Sharon and Geordi = $525
Also, Geordi earned $75 more than Sharon
Let amount earned by Sharon = s
Amount earned by Geordi = g
Equations :
s + g = 575 - - - equation 1
g = 75 + s - - - equation 2
Put g = 75 + s in equation 1
s + 75 + s = 575
2s + 75 = 575
2s = 575 - 75
2s = 500
s = 250
g = 75 + s
g = 75 + 250
g = 325
plz i need help asappppppppp
i think the answer is -5???
Answer:
-10
Step-by-step explanation:
what is 999.09344471 rounded to the nearest square kilometer?
The nearest kilometers to 999.09344471 km is 1000 km.
Given value is 999.09344471 Km.
We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.
Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only the value after the decimal (934) is to be rounded off which is (900).
So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.
Again rounding off 999.900 km to nearest km so it becomes 1000 km.
The nearest kilometers to 999.09344471 km is 1000 km.
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The equation of the piecewise defined function f(x) is below. What is the value of f(1)?
The value of the f(1) should be -1 when the equation of the piecewise defined function f(x).
Calculation of the value of f(1):here first we are required to determine which expression to use for f(1). The first function does not involve 1, because it is <, and not ≤
And,
The second functions involved 1, because it has a ≤ that meaning greater than or equal to, so this is the function we must use.
So, it can be like
f(1) = -1
= -(x^2)
= -(1)
= -1
hence,
The value of the f(1) should be -1 when the equation of the piecewise defined function f(x).
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Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1