Answer:
x ≥ 2.5
Step-by-step explanation:
Answer:
P > 2.5
Step-by-step explanation:
Equivalences with QuantifiersEvaluate whether the expressions on the left and right sides are equivalent in each part, and briefly justify your answers.a) ∀ x ( ∃ y Q ( x , y )) ⇒ P ( x ) ∀ x ∃ y Q ( x , y ) ⇒ P ( x ) ( ) ( ) (b) ¬∃ x ∀ y P ( x , y ) ⇒ ¬ Q ( x , y ) ∀ x ( ∃ y P ( x , y )) ∧ ( ∃ y Q ( x , y )) ( ) ( ) (c) ∀ x ∃ y P ( x ) ⇒ Q ( x , y ) ∀ x P ( x ) ⇒ ( ∃ y Q ( x , y ))
The expressions on the left and right sides are equivalent in part b) and not equivalent in part a) and c).
a) The expressions on the left and right sides are not equivalent.
The left side states that for all values of x, if there exists a value of y such that Q(x, y) is true, then P(x) must be true. The right side states that for all values of x, both the existence of a value of y such that Q(x, y) is true and P(x) must be true.
b) The expressions on the left and right sides are equivalent.
The left side states that it is not the case that there exists an x such that for all values of y, P(x, y) is true. The right side states that for all values of x, there exists a value of y such that either P(x, y) is true or Q(x, y) is true.
c) The expressions on the left and right sides are not equivalent.
The left side states that for all values of x, there exists a value of y such that P(x) implies Q(x, y). The right side states that for all values of x, P(x) implies that there exists a value of y such that Q(x, y) is true.
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The Number of Hispanics (Latinos) in the United States
Consider the population of Hispanic (Latino) people in the United States, according to the 2010 US Census. Look at the data in this spreadsheet. Examine the data for the 2010 US Census.
In addition look at these resources before you move on to the task:
US Census data
US Census regions
Part A
How do the columns titled Number and % of Total Population relate to the column titled Total?
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Part B
Go to your Math Tools and open the Data Plot. Create a histogram of the state data in the column titled % of Total Population for 2010. (Note that you can copy a column of data from the spreadsheet and paste it into the histogram data set.) Set useful limits and intervals and label the histogram appropriately. Export an image of the histogram, and insert it below.
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Part C
Go to your Math Tools and open the Data Plot. Create a box plot of the state data in the column titled % of Total Population. (You can copy a column of data from the spreadsheet and paste it into the box plot data set.) Be sure to add appropriate labels to your box plot. Export an image of your box plot, and insert it below.
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Part D
Describe the spread, shape, and skewness, if any, of the graph.
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Part E
What information about central tendencies can you determine from the histogram and the box plot?
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Part F
Outliers are generally considered to be points that are more than 1.5 × (interquartile range) below Q1 or above Q3. What are the minimum and maximum values for the box plot once you exclude outliers? Based on your box plot, how many outliers do you have?
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Part G
Which states are represented by the outlier data? What do these states have in common that might contribute to making them outliers?
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Part H
According to the US Census data, the Hispanic (Latino) population of the United States as a whole is 16.3% of the total 2010 US population (as shown in cell G5). Where would this percentage fit into the list of the distribution of the individual states on your latest box plot? Does it seem surprising that it would fit there? How might you explain this situation?
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Answer:
Hispanics Account for More than Half of Nation's Growth in ...
The 2010 Census counted 50.5 million Hispanics in the United States, making up 16.3% of the total population. The nation's Latino population, which was 35.3 million in 2000, grew 43% over the decade.
Step-by-step explanation:
This answer provides step by step guidance to understanding a data set comprising of the Hispanic population in the US. It guides through the interpretation of the provided spreadsheet, the creation and interpretation of histograms and box plots, and the identification and analysis of outliers.
Explanation:Since I'm not able to interact directly with your provided spreadsheet and tools, I'll guide you along the process. On Brainly, tutors can't provide images or interactive tools.
Part A
The 'Number' column represents the actual count of Hispanic/Latino population in a given location. The '% of Total Population' column represents the proportion of the Hispanic/Latino population against the total population in the same location. The 'Total' column, in this context, likely represents the total population of a given location.
Part B & C
For histogram and box plot creations, first copy the column of data you need, then paste it into the respective tool. Make sure to set meaningful limits and label your graphics appropriately. These visuals will help in understanding the distribution of the data.
Part D
Analyze your plots. Look for whether the data is symmetric (normal), skewed left (negative) or skewed right (positive). 'Spread' refers to the variability in your data, a key indicator might be the difference between maximum and minimum values discussed in Part B.
Part E
Central tendencies can be understood as the 'middle' or 'average' of the data. In a histogram, look for peaks, which represent the mode of the distribution. For a box plot, calculate the median (Q2), essentially the mid-point of the plotted data.
Part F & G
To find min/max values excluding outliers, look for the smallest/largest value that falls within the range defined by Q1 - 1.5*(IQR) and Q3 + 1.5*(IQR). Outliers are the data points outside this range. Check back to see which states these outliers correspond to.
Part H
Compare the given 16.3% to your box plot. Depending on where it fits within the plot's quartiles, it may or may not be surprising due to differing state-level proportions vs the overall distribution. Explanation might involve immigration, cultural hubs, or state-specific policies among others.
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PLS HELP ME I NEED AN ANSWER BEFORE 1:04 PLEASEEE MY WHOLE GRADE DEPENDS ON IT
Answer:
Picture 1: 40 degrees
Picture 2: 90 degrees
Picture 3: 65 degrees
Picture 4: 85 degrees
Step-by-step explanation:
(2x-5) + (x+25) + (x) = 180
4x=160, x=40
180-90 = 90
2(65)+12+38 = 180
2x=40, x=20
6(20)-25 = 95
180-95 = 85
1. Molly had 995 ants in her ant farm. She lost 267 of the ants. How many ants does she have now? Answer Statement: Molly has 723 ants left Equation and Strip Diagram: 995-267-728 Strategy and Solution: 728 99115 267 728
Answer:
idj
Step-by-step explanation:
getting points
Answer:
723 IT IS BECAUSE IF U TAKE OUT 267 FROM 995 THEN THE NUMBER LEFT WILL BE 723
HOPE IT HELPS
will record the the wins and losses for his high school basketball team
Answer:
Wow you really don't want any help
Step-by-step explanation:
b
i
t
c
h
for answering like that when people are trying to help
What is the definition of a covalent bond?
A.a bond between a positive and a negative ion
B.a bond between two negative ions
C.a bond between two positive ions
D.a bond between two atoms
Answer:
D: A bond between two atoms
Step-by-step explanation:
\Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] (Use non-identity functions for f(u) and g(x).) y = et + 9 (f(u), g(x)) =
Y= 3√E^+9
Find the derivative dy/dx
dy/dx= _____
a shop is open 9 am - 7 pm. the function r(t), graphed above, gives the rate at which customers arrive (in people/hour) at time t, where t measures time in hours since 9 am. suppose that the salespeople can serve customers at a rate of 75 people per hour. answer the following questions: d. when does the line vanish? answer: equation editorequation editor hours after opening.
A shop is open 9 am - 7 pm. the function r(t), graphed above, gives the rate at which customers arrive (in people/hour) at time t, the line will vanish at 9 am + 2.5 hours = 11:30 am.
Since the salespeople can serve customers at a rate of 75 people per hour, the net rate at which customers are added to the line is given by:
Net rate = R(t) - 75
where R(t) is the rate at which customers arrive.
The line will vanish when the net rate becomes zero, which means that the rate at which customers are added to the line is equal to the rate at which they are served. Thus, we have:
R(t) - 75 = 0
Solving for t, we get:
R(t) = 75
Looking at the graph, we can see that R(t) is equal to 75 at approximately 2.5 hours after 9 am. Therefore, the line will vanish at 9 am + 2.5 hours = 11:30 am.
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for which (if any) of the three dependent variables in this data set (gender, age, ethnicity) would you report the standard deviation?
Gender and ethnicity are categorical variables and therefore, the standard deviation cannot be calculated for variables.
The standard deviation is a measure of the spread or dispersion of the data around the mean. In other words, it tells us how far each data point in a set is from the average of the set.
When we analyze data, it's important to understand how much variation there is in the data, and the standard deviation is one way to do this.
When it comes to the three dependent variables in the data set (gender, age, and ethnicity), it is important to understand that the standard deviation is only calculated for numerical data.
However, age is a numerical variable, and the standard deviation can be calculated for it.
To find the standard deviation of the ages, we need to first find the mean of the ages and then subtract each age value from the mean and square the result.
Next, we add up all the squared deviations and divide by the number of ages minus one. Finally, we take the square root of the result, and that gives us the standard deviation of the ages in the data set.
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Plz Help!!! And plz explain how you got the answer. Will give brainiest
if necessary, how can a student determine the change in angular momentum δlδl of the cylinder from t=0t=0 to t=t0t=t0?
To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:
ΔL = I * Δω
where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.
To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:
Δω = ωt0 - ω0
Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.
The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:
I = (1/2) * m * r^2
where m is the mass of the cylinder and r is the radius of the cylinder.
By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.
It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.
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You roll a fair 666-sided die. What is \text{P(roll greater than 4})P(roll greater than 4)start text, P, left parenthesis, r, o, l, l, space, g, r, e, a, t, e, r, space, t, h, a, n, space, 4, end text, right parenthesis?
When a 666-sided fair die is rolled, then the probability of rolling greater than 4 is 0.9940 or 99.40%.
Given that the die is fair and has 666 sides. So, each face of the die will have a probability of 1/666, i.e.,
p(1) = p(2) = ... = p(666) = 1/666.
The probability of rolling greater than 4 is P(roll greater than 4), which is the sum of the probabilities of rolling a 5, 6, 7, 8, 9, ..., 666. So,
P(roll greater than 4) = p(5) + p(6) + p(7) + ... + p(666)
P(roll greater than 4) = (1/666) + (1/666) + (1/666) + ... + (1/666)
(There are 661 terms)P(roll greater than 4) = 661(1/666)
P(roll greater than 4) = 0.9940 (rounded to four decimal places)
Hence, the probability of rolling greater than 4 is 0.9940 or 99.40%.
Alternatively, the probability of rolling greater than 4 is
1 - P(roll less than or equal to 4)P(roll greater than 4)
= 1 - P(roll less than or equal to 4)P(roll greater than 4)
= 1 - (p(1) + p(2) + p(3) + p(4))P(roll greater than 4)
= 1 - (4/666)P(roll greater than 4)
= 1 - 0.0060P(roll greater than 4)
= 0.9940 (rounded to four decimal places)
Hence, the probability of rolling greater than 4 is 0.9940 or 99.40%.
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Suppose that a particular NBA player makes 94% of his free throws. Assume that late in a basketball game, this player is fouled and is awarded two free throws. a. What is the probability that he will make both free throws? (to 4 decimals) b. What is the probability that he will make at least one free throw? (to 4 decimals) c. What is the probability that he will miss both free throws? (to 4 decimals) d. Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other team's worst free-throw shooter. Assume the team's worst free throw shooter makes 56% of his free throws. Calculate the probabilities for this player as shown in parts (a), (b), and (c), and show that intentionally fouling this player who makes 56% of his free throws is a better strategy than intentionally fouling the player who makes 94% of his free throws. Assume as in parts (a), (b), and (c) that two free throws will be awarded. What is the probability that this player will make both throws? (to 4 decimals) What is the probability that will make at least one throw? (to 4 decimals) What is the probability that this player will miss both throws? (to 4 decimals)
As the odds of the poorest shooter missing both shots are higher, intentionally fouling them (56 percentage) is a better tactic than fouling the 94% free throw shooter.
a. A player has a 0.8836 chance of making both free throws if they convert 94% of their attempts (to 4 decimals).
b. There is a 0.9972 percent chance that a player who makes 94% of his free throws will also make at least one (to 4 decimals).
c. There is a 0.0028 percent chance that a player who makes 94% of his free throw attempts will miss both attempts (to 4 decimals).
It is better to intentionally foul the guy who makes 94% of his free throw attempts than it is to intentionally foul the player with the poorest free throw shooting percentage. The likelihood that a player will make both free throws when he makes 56% of his attempts is 0.3136. (to 4 decimals). The odds that a player will make at least one free throw with a 56% success rate are 0.8232. (to 4 decimals). The likelihood that a player will miss two of his free throw attempts when he makes 56% of them is 0.1768. (to 4 decimals). Intentionally fouling the poorest free throw shooter would be the more successful tactic since the odds of the worst free throw shooter missing both shots are higher than the odds of the 94% free throw shooter missing both shots.
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The perimeter of the rectangle is 26
Answer:
9
Step-by-step explanation:
Answer:
9m
Step-by-step explanation:
Let x be the length of the rectangle and P the perimeter
P= 4*2+ 2x
26= 8+2x
18= 2x
x= 9 m
The area of a circle is A = 625. What is the
circumference?
Can anyone solve this correctly?
Answer:
180ft³
Step-by-step explanation:
We know that to find volume we do base × length × height, so just multiply 5 by 12 by 6, and you would get 360, but the pool is halfway filled, so the answer would be 180.
Help Please?
theres an image thats my question
Answer:
I think the possibilities of orange is more, because the no. Of orange marbles Is more
Which statement is true?
The equation –3|2x + 1.2| = –1 has no solution.
The equation 3.5|6x – 2| = 3.5 has one solution.
The equation 5|–3.1x + 6.9| = –3.5 has two solutions.
The equation –0.3|3 + 8x| = 0.9 has no solution
Answer:
D
Step-by-step explanation:
Just trying to help??
The statement which is true is; The equation 3.5|6x – 2| =3.5 has one solution.
Equations and solutionsA one-variable linear equation can only be concluded to have no solution if upon evaluation, the value of the variable cannot be computed due to the fact that the variable diminishes in the process of solving.
On this note, since the equation; 3.5|6x – 2| = 3.5 can be solved to give solution; x= 1/2. The equation is said to have one solution.Read more on no solution equations;
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Is the function f x
2x4 + 4x2 – 1 is an even function. Prove it algebraically
Answer: The function is even.
Step-by-step explanation:
x= 0.5 AND x -0.5 will give you the same result for y.
Brainliest plz
pls Answer..........................................
Answer:
C= 27
G= 37
J=57
Z= 1
Step-by-step explanation:
These are the degrees because of the Triangle Sum Theorem which states that The sum of the measures of the angles in a triangle is 180°. So angle C for example is 27 because angle A is 53 and angle B is 100 add both of those and you get 153 so our equation would be 153+c=180, c being the angle, so then to solve this you do do 180-153 and that equals 27 so therefore, 153+27=180. This process applys to all the other angles as well ^w^
A ball is dropped at random into one of eight holes, numbered as shown in Fig. 11.12. The number under each hole gives the score obtained when the ball drops into that hole. I 2 1 2 1 1 3 2 Fig. 11.12 a State the probability of scoring 1. b If the ball is dropped twice, find the probability of scoring i a total of 6, ii a total of 4. 123
A) the probability of scoring 1 is 1/2
B) the probability of scoring a total of 6 is 3/64
The probability of scoring a total of 4 is 17/64
What is probability?A probability of an occurrence is a number in science that shows how probable the event is to occur. It is represented as a number between 0 and 1, or as a percentage between 0% and 100% in percentage notation.
To compute for A)
Scoring 1 is denoted by P = 4/8 = 1/2
To compute for B)i
All = 8 x 8 = 64
Total of 6 = 3+3
P = 6/64
P = 3/32
To compute for B)ii
Total of 4 = 2 + 2 or 1 + 3 when measured out this given us
P = 17/64
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A tank contains 180 gallons of water and 15 oz of salt. water containing a salt concentration of 17(1+15sint) oz/gal flows into the tank at a rate of 8 gal/min, and the mixture in the tank flows out at the same rate.
the long-time behavior of the solution is an oscillation about a certain constant level. what is this level? what is the amplitude of the oscillation?
Let A(t) denote the amount of salt (in ounces, oz) in the tank at time t (in minutes, min).
Salt flows in at a rate of
\(\dfrac{dA}{dt}_{\rm in} = \left(17 (1 + 15 \sin(t)) \dfrac{\rm oz}{\rm gal}\right) \left(8\dfrac{\rm gal}{\rm min}\right) = 136 (1 + 15 \sin(t)) \dfrac{\rm oz}{\min}\)
and flows out at a rate of
\(\dfrac{dA}{dt}_{\rm out} = \left(\dfrac{A(t) \, \mathrm{oz}}{180 \,\mathrm{gal} + \left(8\frac{\rm gal}{\rm min} - 8\frac{\rm gal}{\rm min}\right) (t \, \mathrm{min})}\right) \left(8 \dfrac{\rm gal}{\rm min}\right) = \dfrac{A(t)}{180} \dfrac{\rm oz}{\rm min}\)
so that the net rate of change in the amount of salt in the tank is given by the linear differential equation
\(\dfrac{dA}{dt} = \dfrac{dA}{dt}_{\rm in} - \dfrac{dA}{dt}_{\rm out} \iff \dfrac{dA}{dt} + \dfrac{A(t)}{180} = 136 (1 + 15 \sin(t))\)
Multiply both sides by the integrating factor, \(e^{t/180}\), and rewrite the left side as the derivative of a product.
\(e^{t/180} \dfrac{dA}{dt} + e^{t/180} \dfrac{A(t)}{180} = 136 e^{t/180} (1 + 15 \sin(t))\)
\(\dfrac d{dt}\left[e^{t/180} A(t)\right] = 136 e^{t/180} (1 + 15 \sin(t))\)
Integrate both sides with respect to t (integrate the right side by parts):
\(\displaystyle \int \frac d{dt}\left[e^{t/180} A(t)\right] \, dt = 136 \int e^{t/180} (1 + 15 \sin(t)) \, dt\)
\(\displaystyle e^{t/180} A(t) = \left(24,480 - \frac{66,096,000}{32,401} \cos(t) + \frac{367,200}{32,401} \sin(t)\right) e^{t/180} + C\)
Solve for A(t) :
\(\displaystyle A(t) = 24,480 - \frac{66,096,000}{32,401} \cos(t) + \frac{367,200}{32,401} \sin(t) + C e^{-t/180}\)
The tank starts with A(0) = 15 oz of salt; use this to solve for the constant C.
\(\displaystyle 15 = 24,480 - \frac{66,096,000}{32,401} + C \implies C = -\dfrac{726,594,465}{32,401}\)
So,
\(\displaystyle A(t) = 24,480 - \frac{66,096,000}{32,401} \cos(t) + \frac{367,200}{32,401} \sin(t) - \frac{726,594,465}{32,401} e^{-t/180}\)
Recall the angle-sum identity for cosine:
\(R \cos(x-\theta) = R \cos(\theta) \cos(x) + R \sin(\theta) \sin(x)\)
so that we can condense the trigonometric terms in A(t). Solve for R and θ :
\(R \cos(\theta) = -\dfrac{66,096,000}{32,401}\)
\(R \sin(\theta) = \dfrac{367,200}{32,401}\)
Recall the Pythagorean identity and definition of tangent,
\(\cos^2(x) + \sin^2(x) = 1\)
\(\tan(x) = \dfrac{\sin(x)}{\cos(x)}\)
Then
\(R^2 \cos^2(\theta) + R^2 \sin^2(\theta) = R^2 = \dfrac{134,835,840,000}{32,401} \implies R = \dfrac{367,200}{\sqrt{32,401}}\)
and
\(\dfrac{R \sin(\theta)}{R \cos(\theta)} = \tan(\theta) = -\dfrac{367,200}{66,096,000} = -\dfrac1{180} \\\\ \implies \theta = -\tan^{-1}\left(\dfrac1{180}\right) = -\cot^{-1}(180)\)
so we can rewrite A(t) as
\(\displaystyle A(t) = 24,480 + \frac{367,200}{\sqrt{32,401}} \cos\left(t + \cot^{-1}(180)\right) - \frac{726,594,465}{32,401} e^{-t/180}\)
As t goes to infinity, the exponential term will converge to zero. Meanwhile the cosine term will oscillate between -1 and 1, so that A(t) will oscillate about the constant level of 24,480 oz between the extreme values of
\(24,480 - \dfrac{267,200}{\sqrt{32,401}} \approx 22,995.6 \,\mathrm{oz}\)
and
\(24,480 + \dfrac{267,200}{\sqrt{32,401}} \approx 25,964.4 \,\mathrm{oz}\)
which is to say, with amplitude
\(2 \times \dfrac{267,200}{\sqrt{32,401}} \approx \mathbf{2,968.84 \,oz}\)
Write the equation 2(x + 3 )= 2x + 6 as a system of equations
Answer:
y=2x+6
y=2x+6
Explanation:
Given the equation:
\(2\mleft(x+3\mright)=2x+6\)The equation written as a system of equations is:
\(\begin{gathered} y=2\mleft(x+3\mright) \\ y=2x+6 \end{gathered}\)Opening the bracket in the first equation gives:
\(\begin{gathered} y=2x+6 \\ y=2x+6 \end{gathered}\)can someone help me with this
Step-by-step explanation:
bro its B.52° its pretty simple
A loan of $740 is taken out a daily interest of 0.66%. How much will it cost to pay off the loan after 57 days?
Answer:
$1,018.39
Step-by-step explanation:
Interest formula is I = Prt/100
where P = principal
r = interest rate (in percent)
t = number of time periods
Here we have P = 740
interest = 0.66% per day
t = 57 days
I = 740 x 0.66 x 57 /100 = 278.39 (rounded)
Total amount to pay back = 740 + 278.39 = $1,018.39
Which number gives the exact value of four and five sixths?
four and eighty three hundredths with the three repeating
six twenty nineths
4.8
484%
Answer:
(a) four and eighty three hundredths with the three repeating
Step-by-step explanation:
The mixed number 4 5/6 will have a repeating decimal fraction, so finite-length decimals will not express it exactly.
Exact value4 5/6 = 4 +5/6 = (4×6)/6 +5/6 = (24+5)/6 = 29/6 . . . . . not 6/29
As you can see from the long division (attached), the decimal fraction will have repeating 3s.
\(4\dfrac{5}{6}=4.833... =\boxed{4\dfrac{83.\overline{3}}{100}}\)
The exact value of four and five sixths is represented as "six twenty ninths." So, the correct answer is 2.
The value "four and five sixths" is a mixed number. It consists of a whole number part (4) and a fractional part (5/6).
To represent this value exactly, you need to find a fractional form where the numerator (top part) is 5 and the denominator (bottom part) is 6, which is 5/6.
In fractional form, it's represented as 5/6. However, you can also express it as a decimal, which is approximately 0.8333 when rounded to four decimal places.
So, "four and five sixths" can be expressed as:
- Fraction: 5/6
- Decimal (approximate): 0.8333
The other options provided:
- "Four and eighty-three hundredths with the three repeating" does not accurately represent "four and five sixths."
- "4.8" represents "four and eight-tenths," which is different from "four and five sixths."
- "484%" represents 484 percent, which is not the same as "four and five sixths."
Therefore, "six twenty ninths" or 5/6 is the correct representation for "four and five sixths" in fractional form.
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Solve for u. -24 = u ÷ 6
U=
Answer: Um, the answer is U= –144.
Step-by-step explanation:
Consider the linear function that is represented by the equation y = 2 x + 2 and the linear function that is represented by the graph below.
On a coordinate plane, a line goes through points (negative 1, negative 1) and (0, 1).
Which statement is correct regarding their slopes and y-intercepts?
The function that is represented by the equation has a steeper slope and a greater y-intercept.
The function that is represented by the equation has a steeper slope, and the function that is represented by the graph has a greater y-intercept.
The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
The function that is represented by the graph has a steeper slope and a greater y-intercept.
Answer:I believe the answer is C: The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
Step-by-step explanation: The Y intercept of the equation is 2 and when I put the 2 graphs side by side the graphs slope looks steeper
the graph has a steeper slope
Select all COEFFICIENTS in the following expression:
177 +3 - 5y + 19 + 10z
177+3-5y+19+10z
Coefficients are numbers being multiplied by a variable.(example:4 in 4a)
Find terms with variables.
-5y and 10z
So the coefficients are -5 and 10.
hope it helps!
Determine whether the following statements are true or false: a)If f'(x) = 0 at each x of an open interval (a,b), then f(x) = C is a constant for all x in (a,b). b) Suppose that f is twice differentiable on an open interval I. If f' increases on I, then the graph of f is concave up. c)Suppose that f is twice differentiable on an open interval I. If f' decreasing on I, then the graph of f is concave down. d) For c in I, if f'(c) = 0 and f''(c) < 0 then f has a local min at x = c e) If the point (c,f(c)) is a point of inflection, then f''(c) = 0.
The correct answers are a) true, b) true, c) false, d) true, and e) false.
a) True
Let f(x) be differentiable on an open interval (a, b), then the following holds that if f'(x) = 0 at each x in (a,b), then f(x) = C is a constant for all x in (a,b). b) True
Suppose that f is twice differentiable on an open interval I, then the graph of f is concave up if f' increases on I. c) False
Suppose that f is twice differentiable on an open interval I. If f' decreasing on I, then the graph of f is not necessarily concave down. d) True
Let c be in I, if f'(c) = 0 and f''(c) < 0 then f has a local min at x = c. e) False
If the point (c,f(c)) is a point of inflection, then f''(c) can be equal to 0 or not.
The point of inflection refers to the change in the concavity of a function from upward to downward or vice versa. It's also the point on the curve where the second derivative changes its sign.
Hence, the correct answers are a) true, b) true, c) false, d) true, and e) false.
Know more about graph here,
https://brainly.com/question/17267403
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