The greatest amount of money that rounds to 2105.40, when rounded to the nearest unit, is $2105. The least amount of money that rounds to 2105.40 is $2105.
When rounding to the nearest unit, amounts that end in .50 or higher round up to the next whole number, while amounts less than .50 round down. In this case, since the decimal portion is .40, which is less than .50, the amount rounds down to the nearest whole number.
To understand the reasoning behind these rounding rules, it's important to consider the concept of rounding. Rounding is the process of approximating a number to a specified degree of accuracy. When rounding to the nearest unit, we look at the digit immediately to the right of the decimal point. If that digit is 5 or greater, we round up; if it is less than 5, we round down.
In the case of 2105.40, the digit immediately to the right of the decimal point is 4, which is less than 5. Therefore, when rounding to the nearest unit, the amount rounds down to $2105.
Similarly, the greatest amount of money that rounds to 2105.40 is the next whole number greater than 2105, which is $2106. Since the decimal portion is .40, which is less than .50, it rounds down to $2105.
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Solve : 24 = 6 - 6 = 2 + (
3 x 7)
Answer:
3.5
Step-by-step explanation:
24=0=2×3×2×7
24=6×14=0
24=84 =0
24÷84=3.5
The equation of the function shown can be written as
y = a(x-blank 1)(x-blank 2)(x-blank 3)
Blank 1:
Blank 2:
Blank 3:
Answer:
\(y=a(x-(-1))(x-2)(x-6)\)
First blank -1
Second blank +2
Third blank +6
Step-by-step explanation:
The x-intercepts of the graph are its zero's so if we see the graph it cuts the x-axis at 3 points -1 , +2 and +6 so the factors would be
\(f(x)=a(x+1)(x-2)(x-6)\)
The equation is always written as factors of the equation in terms of where the polynomial intersects the x-axis.
Find the distance between (9,2) and (-3,7)
Answer:
\( \huge{ \bold{ \boxed{ \tt{13 \: units}}}}\)
Step-by-step explanation:
\( \text{Let \: the \: points \: be \: A \: and \:B}\)
\( \sf{ \: A(9 \:, 2)\longrightarrow{ \: (x1 \:, y1)}} \)
\( \sf{B( - 3 \: 7) \longrightarrow{(x2 \:, y2)}}\)
\( \underline{ \text{Using \: distance \: formula \:, we \: get } } : \)
\( \sf{Distance = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }\)
\( \sf{⇢ \: \sqrt{ {(9 - ( - 3))}^{2} + {(2 - 7)}^{2} } }\)
\( \sf{⇢ \: \sqrt{ {(9 + 3)}^{2} + (2 - 7) ^{2} } }\)
\( \sf{⇢ \: \sqrt{ {(12)}^{2} + {( - 5)}^{2} } }\)
\( \sf{ \: ⇢ \: \sqrt{144 + 25}} \)
\( \sf{⇢ \: \sqrt{169}} \)
\( \sf{⇢ \sqrt{ {(13)}^{2} } }\)
\( \sf{⇢ \: 13 \: units}\)
Hope I helped!
Best regards! :D
~\( \text{TheAnimeGirl}\)
Please help, idk how to do this
Answer:
D. 180 degrees
Step-by-step explanation:
A straight line is 180 degrees.
Answer:
The answer is 180 degrees.
Step-by-step explanation:
✌Hope I helped ya✌
Brainliest would be nice
< Sarah >
According to the recommended safety ratio of 4:1, how high will a 40-foot ladder reach when placed against a wall? Round to the nearest inch.
Kong took 15% fewer seconds than Nolan took to complete his multiplication time test Kong took 85 you fewer seconds how many seconds did Nolan take
Answer:
12.75 or 566.66666666666
Step-by-step explanation:
i might be right i not for sure pls maker me brainly. i try
( x - 8 )( x + 8)
this is Operation Multiplication btw
For the expression (x - 8)(x + 8), using the arithmetic operation the value for x is x = 8.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
The given expression is - (x - 8)(x + 8)
Use the arithmetic operation of multiplication -
(x - 8)(x + 8)
x(x + 8) - 8(x + 8)
x² + 8x - 8x -64
Now, use the arithmetic operation of addition and subtraction -
x² + 8x - 8x -64
x² - 64
Now, collect the like terms on each side -
x² = 64
x = √64
Now, solve the radical form to get the value of x -
x = √64
x = 8
Therefore, the value of x is obtained as x = 8.
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Given z = 1 – i, which letter represents z3?
A
B
C
D
Answer:
A
Step-by-step explanation:
I just took the quiz
Iota is an imaginary unit number that is denoted by i and the value of iota is \(i=\sqrt{-1}\)
Letter A represent \(z^{3}\)
Given that, z = 1 - i
Now finding \(z^{3}\) ,
\(z^{3}=(1-i)(1-i)(1-i)\\\\=(1+i^{2-2i} )(1-i)\\\\=1+i^{2}-3i-i^{3}+2i^{2}\\\\=1-1-3i+i-2\\\\=-2-2i\)
In given diagram, it is observed that Point A is \(-2-2i\).
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is (-2+x)-(3x-8) equivalent to -2x+4
Answer:
No solution
Step-by-step explanation:
There are no values of x that make the equation true.
Brainly pls?
Answer:
No, it's not equivalent to it.
Step-by-step explanation:
\(( - 2 + x) - (3x - 8) = - 2 + x - 3x + 8 \\ = 6 - 2x = - 2x + 6\)
the six trigonometric functions are not invertible what has to be done make them invertible
Can you post the image in your question.
Manuela solved the equation 3−2|0.5x 1.5|=2 for one solution. her work is shown below. 3−2|0.5x 1.5|=2 −2|0.5x 1.5|=−1 |0.5x 1.5|=0.5 0.5x 1.5=0.5 0.5x=−1 x=−2 what is the other solution to the equation? x=−6 x=−4 x=2 x=4
The other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4
How to determine the solution?The equation is given as:
3 − 2|0.5x + 1.5| = 2
Subtract 3 from both sides
-2|0.5x + 1.5| = -1
Divide both sides by -2
|0.5x + 1.5| = 0.5
Expand the equation
0.5x + 1.5 = 0.5 or 0.5x + 1.5 = -0.5
Subtract 1.5 from both sides
0.5x = -1 or 0.5x = -2
Divide both sides by 0.5
x = -2 or x = -4
Hence, the other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4
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Jenifer is the high scorer on his basketball team. He made 36 free throws out of 50 free throws attempted. What was his percentage of free throw shots made?
Answer:
72%
Step-by-step explanation:
36/50 = 0.72
0.72 x 100 = 72%
Solve the system by substitution.
x – 4y = -8
5у – 1 = x
Submit Answer
Answer:
y = -7 and x = -36
Step-by-step explanation:
x - 4y = -8
5y - 1 = x
→ Substitute 5y - 1 into x - 4y = -8
5y - 1 - 4y = -8
→ Simplify
y - 1 = -8
→ Add 1 to both sides
y = -7
→ Substitute y = -7 into 5y - 1
( 5 × -7 ) - 1 = -36
Answer:
The solution is (-36, -7)
Step-by-step explanation:
Since 5y - 1 = x, we can replace x in the first equation by 5y - 1:
5y - 1 - 4y = -8
Collecting like terms, we get:
y = -7
If y = 7, then by the second equation x = 5(-7) - 1 = -36
The solution is (-36, -7)
Please show how f(x)=(2x+3)/(x-2) is continue in the interval ]2,infinity[
Answer:
See below
Step-by-step explanation:
A function is continuous within an interval if its first derivative exists
\(\text{The first derivative of }\dfrac{2x+3}{x\:-\:2} = \dfrac{d}{dx}\left(\dfrac{2x+3}{x\:-\:2}\right) = -\dfrac{7}{\left(x-2\right)^2}\)
Let's call this first derivative g(x)
g(x) is defined at all values of x except at x=2 since at this value the denominator becomes 0 and g(x) is not defined.
So the function has a discontinuity at x = 2
But in the interval (2, ∞ ) the function g(x) always has a real value so f(x) is continuous in that interval
Please answer ASAP. Thanks in advance.
Answer:
-11
Step-by-step explanation:
distribute: -8q-7=48-3q
move like terms to other sides of the equal sign: -5q=55
divide 55/-5
you get -11
Carla needs to rent storage space for some of her belongings. She paid a one-time original storage fee of $25.00, and now pays $36.00 each month (m). Which answer choice shows an expression that represents the total amount Carla has paid after a certain number of months (m)?
Answer:
TC = 36t + 25
Step-by-step explanation:
The amount paid by Carla as a storage fee or fixed cost = $25
Monthly rent or variable cost = $36
Let the number of months = t
Now we have to find the expression that represents the total cost. Below is the formula to find the expression.
Total cost = Variable cost + Fixed cost
Total cost = 36t + 25
TC = 36t + 25
Is the point (-5,2) the solution to the system below ?
Can you please help me with 4 please make your graph a 6/6
Given: The function below:
\(y=\sqrt[]{1-x^2}\)To Determine: The graph of the given function
Solution
Step 1: Determine the table of value
The table of value for the function is as shown below
Step 2: Plot the graph of the function using the table above
Note: The graph should be 6/6 means that The range is from -6 to +6 both in the x-axis and the y-axis
\(\begin{gathered} -6\le x\le6 \\ -6\le y\le6 \end{gathered}\)The graph of the function is as shown below
Hence, the graph of the given function is as shown above
find the missing side x
Answer:
\(\sqrt{968}\)
Step-by-step explanation:
Since this is a right triangle, we are able to use pythagorean theorem, a^2+b^2=c^2. In this case x would be the "c", so 22^2+22^2=x^2. Isolate the variable and solve for x. 484+484=x^2
968=x^2
\(\sqrt{968\\}\)=x
the sum of three fractions is 6.if 18/7 and5/6 are two of the fractionsfind the third fraction
A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.
First, we need to solve for a common denominator.
What is a common denominator?A common denominator consists of two or more fractions that have the same denominator. This makes it easier to perform numeric equations, and to solve them.
To get the common denominator between \(\frac{18}{7}\) and \(\frac{5}{6}\), we multiply their denominators.
7 × 6 = 42Now, we know the fractions would look like this:
\(\frac{?}{42} \frac{?}{42}\)To solve for the numerators, we can use these equations:
18 × 6 = 1085 × 7 = 35Now, the fractions look like this:
\(\frac{108}{42}\) and \(\frac{35}{42}\)Adding them together:
\(\frac{108}{42} +\frac{35}{42} = \frac{143}{42}\)Now, we can convert this into a mixed number.
\(\frac{143}{42} = 3\frac{17}{42}\)Now that we have this, we can subtract that from 6 to get the missing value.
\(6 - 3\frac{17}{42}\)\(=2\frac{25}{42}\)Therefore, the third fraction is \(2\frac{25}{42}\).
Consider two drivers A and B; who come across on a road where there is no traffic jam, and only one car can pass at a time. Now, if they both stop each get a payoff 0, if one continues and the other stops, then the one which stops get 0 and the one which continues get 1. If both of them continue then they crash each other and each gets a payoff −1.
Suppose driver A is the leader, that is A moves first and then observing A’s action B takes an action.
a) Formulate this situation as an extensive form game.
b) Find the all Nash equilibria of this game.
c) Is there any dominant strategy of this game?
d) Find the Subgame Perfect Nash equilibria of this game.
(b) There are two Nash equilibria in this game:(S, S): Both A and B choose to Stop. Neither player has an incentive to deviate as they both receive a payoff of 0, and any deviation would result in a lower payoff.
(C, C): Both A and B choose to Continue. Similarly, neither player has an incentive to deviate since they both receive a payoff of -1, and any deviation would result in a lower payoff. (c) There is no dominant strategy in this game. A dominant strategy is a strategy that yields a higher payoff regardless of the actions taken by the other player. In this case, both players' payoffs depend on the actions of both players, so there is no dominant strategy. (d) The Subgame Perfect Nash equilibria (SPNE) can be found by considering the game as a sequential game and analyzing each subgame individually.
In this game, there is only one subgame, which is the entire game itself. Both players move simultaneously, so there are no further subgames to consider. Therefore, the Nash equilibria identified in part (b) [(S, S) and (C, C)] are also the Subgame Perfect Nash equilibria of this game.
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4. From the train station, a train travels to the city center at a constant speed of 35 miles per hour.
Mrs. Kondo is going to the city center but misses the train. She leaves the train station of an
hour later in a taxi. The taxi travels at a constant speed of 50 miles per hour.
The train and Mrs. Kondo's taxi arrive at the city center at the same time. How long did it take
the train to travel from the train station to the city center?
Answer: the train got a head start
Step-by-step explanation:
the train got a head start
HELPP 100POINTS A marine biologist is monitoring the population of sea turtles at their facility. The facility needs to have exactly two times more females than males for the population to thrive. The facility only has room for a maximum of 8 male sea turtles. Let x represent the number of male sea turtles and y represent the number of female sea turtles. Write the constraints that represent the possible number of male and female sea turtles that can live in a thriving population at the facility.
*
x > 0 and y < 8
0 < x ≤ 8 and 0 < y ≤ 16
0 < x ≤ 8 and y > 16
x > 0 and y > 0
The inequality expressions for the number of male and female sea turtles are given as 0 < x ≤ 8 and 0 < 2x ≤ 16 respectively.The correct option is (b).
What is linear inequality?A linear inequality is the equivalent expression for the range of the values of a variable. On the graph it represents the area either above or below a straight line.
Suppose the number of male turtles be x and females be y.
Then, as per the question the inequality expression for the male population can be written as follows,
0 < x ≤ 8
But the equation for the female population is given as y = 2x.
Now, the inequality expression can be written as,
0 < x ≤ 8
Multiply 2 on all sides to get,
2 × 0 < 2x ≤ 8 × 2
⇒ 0 < 2x ≤ 16
The required expressions of inequality are 0 < x ≤ 8 and 0 < 2x ≤ 16 respectively.
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What are three inequalities equal to 15x+20y=150?
Answer:
1. 3x+4y=30
2. 30x+40y=300
3. x+4/3y=10
Step-by-step explanation:
3. Graph the rational function x2 - 3/x-1 . Both branches of the rational function y= = X-1 pass through which quadrant? Quadrant 1 Quadrant 3 Quadrant 2 Ouadrant 4
To graph the rational function y = (x^2 - 3)/(x - 1), we need to first find its vertical and horizontal asymptotes, intercepts, and critical points.
Intercepts:
To find the x-intercept, we set y = 0 and solve for x:
0 = (x^2 - 3)/(x - 1)
0 = x^2 - 3
x = ±√3
So the x-intercepts are (±√3, 0).
To find the y-intercept, we set x = 0:
y = (0^2 - 3)/(0 - 1) = 3
So the y-intercept is (0, 3).
Critical points:
To find the critical points, we take the derivative of the function and set it equal to zero:
y = (x^2 - 3)/(x - 1)
y' = [(2x)(x - 1) - (x^2 - 3)]/(x - 1)^2
y' = (x^2 - 2x - 3)/(x - 1)^2
0 = (x^2 - 2x - 3)/(x - 1)^2
0 = x^2 - 2x - 3
x = 1 ± √4
x = 3, -1
So the critical points are (3, 0) and (-1, 0).
- Plot the vertical asymptote at x = 1.
- Plot the horizontal asymptote at y = x.
- Plot the x-intercepts at (±√3, 0).
- Plot the y-intercept at (0, 3).
- Plot the critical points at (3, 0) and (-1, 0).
- To determine which quadrants the branches of the function pass through, we can test a point in each quadrant. For example, if we plug in x = 2 (which is in quadrant 1) into the function, we get y = -1/2, which is negative. If we plug in x = -2 (which is in quadrant 2) into the function, we get y = 5/3, which is positive. So the upper branch of the function passes through quadrant 2 and the lower branch passes through quadrant 4.
1. Vertical asymptote: Set the denominator (x - 1) equal to 0 and solve for x:
x - 1 = 0
x = 1
2. Horizontal asymptote: Compare the degrees of the numerator and denominator:
Degree of the numerator (x^2) = 2
Degree of the denominator (x - 1) = 1
Since the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.
3. X-intercept: Set y = 0 and solve for x:
(x^2 - 3) / (x - 1) = 0
x^2 - 3 = 0
x = ±√3
4. Y-intercept: Set x = 0 and solve for y:
y = (0^2 - 3) / (0 - 1)
y = -3
Now, we can determine in which quadrants both branches of the rational function pass through.
- Quadrant 1: x > 0 and y > 0
- Quadrant 2: x < 0 and y > 0
- Quadrant 3: x < 0 and y < 0
- Quadrant 4: x > 0 and y < 0
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CAN SOMEONE PLEASE HELP ME, with the worksheet will MARK AND 5 STARS!!!
Answer:
26 miles per houre
Step-by-step explanation:
sow you put 450 amd 3.4 so you subtract but first you gat to put on the 45.0 -3.4 and then you git youre answred
How much does 1 kg of butter cost at the rate shown in the picture? Butter: 454 kg & $3.39
Answer:
0.00746696035
Step-by-step explanation:
3.39/454 = 0.00746696035
Rounded that would only be 1 cent per kg. Hummmppp....
Can anyone help me with this question brainly to the who answers the question
Answer:
The Answer is A and B
Step-by-step explanation:
Because out of all the answers these are
the most suitable ones
(Pls Mark as brainliest (: )
Use the empirical rule to answer each question during one week and overnight delivery company found the weight of its parent cells were normally distributed with a mean of 16 ounces in a standard deviation of 4 ouncesWhat percent of the parasails way between 8 ounces and 20 ounces Round your answer to one decimal placeWhat percent of the parasails weighed more than 8 ounces round your answer to two decimal places
Using the fact a normal distribution is symmetric and the empirical rules we can solve both questions. The empirical rules are:
1) 68% of the data falls within one standard deviation of the mean.
2) 95% of the data falls within two standard deviations of the mean.
3) 99.7% of the data falls within three standard deviations of the mean.
From the text, we know that the weight of the parent cells were normally distributed with a mean of 16 ounces with a standard deviation of 4 ounces
\(\begin{gathered} \mu=16 \\ \sigma=4 \end{gathered}\)For the first question, we have the interval between 8 ounces and 20 ounces. Rewritting the limits of the interval as a function of the mean and standard deviation, we have
\(\begin{gathered} 8=16-8=16-2(4)=\mu-2\sigma \\ 20=16+4=\mu+\sigma \end{gathered}\)Then, our interval is
\((\mu-2\sigma,\mu+\sigma)\)If we combine the first two empirical rules, we know that between one standard deviation and two standard deviation falls the difference between 95% and 68% of the data.
\(95\%-68\%=27\%\)Since the distribution is symmetrical, we can divide it by 2 to find the data of the between one standard deviation and two standard deviation on one tail
\(\frac{27}{2}=13.5\)Adding this value to the first empirical rule, we have the result for our first question.
\(13.5+68=81.5\)between 8 ounces and 20 ounces we have 81.5% of the parasails.
For the second question, we want to know the percent of data above 8 ounces.
From the second empirical rule, we know that 95% of the data falls within two standard deviations of the mean. If we divide this percentage by 2, we're going to find the amount of data between the mean and two standard deviations.
\(\frac{95\%}{2}=47.5\%\)Since the distribution is symmetric, above the mean we have 50% of the area.
\(47.5\%+50\%=97.5\%\)97.5% of the parasails weighed more than 8 ounces.
We make 72 cookies and 18 cookies are eaten. What fraction represents the portion of the whole batch that remains?
Answer:
1/4
Step-by-step explanation:
Create a chart 18 over 72 and x over 100
Now we multiply 18 by 100 to get 1800
We take that 1800 and divide it by 72 to get 25/100
We can simplify this to 1/4