Answer:
Ooooook?
Step-by-step explanation:
Fine
In 2020, one of the states with the fewest people living in it is Wyoming, with a population of 585,501. Write the number that is ten thousand greater than 585,501
The number that is ten thousand greater than 585,501 is 595,501.
What is a greater number?A greater number is a number that when compared with another has a higher numerical value than the former.
To show that a number is greater than another, more values can be determined to account for their differences using basic mathematical operations like addition, subtraction, multiplication, and division.
Data and Calculations:The population of Wyoming in 2020 = 585,501
Additional population to Wyoming = 10,000
New population of Wyoming = 595,501 (585,501 + 10,000)
Thus, the number that is ten thousand greater than 585,501 is 595,501.
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Solve for x using the quadratic formula.3x^2 +10x+8=3
The quadartic equation is 3x^2+10x+8=3.
Simplify the quadratic equation to obtain the equation in standard form ax^2+bx+c=0.
\(\begin{gathered} 3x^2+10x+8=3 \\ 3x^2+10x+5=0 \end{gathered}\)The coefficent of x^2 is a=3, coefficient of x is b=10 and constant term is c=5.
The quadartic formula for the values of x is,
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Substitute the values in the formula to obtain the value of x.
\(\begin{gathered} x=\frac{-10\pm\sqrt[]{(10)^2-4\cdot3\cdot5}}{2\cdot3} \\ =\frac{-10\pm\sqrt[]{100-60}}{6} \\ =\frac{-10\pm\sqrt[]{40}}{6} \\ =\frac{-10\pm2\sqrt[]{10}}{6} \\ =\frac{-5\pm\sqrt[]{10}}{3} \end{gathered}\)The value of x is,
\(\frac{-5\pm\sqrt[]{10}}{3}\) A teacher is making 7 identical supply boxes
for each table in her classroom. Each box
contains some pencils and 11 pens. The
teacher uses a total of 182 pencils and pens.
Determine the number of pencils that are in
each box.
Answer:
26
Step-by-step explanation:
182 pencils devided by 7 identical boxes
182÷7
=26 pencils are in each box
Answer:
15 pencils in each box
Step-by-step explanation:
If each box has 11 pens,then there are 77 pens
In total 182 pencils and pens
182-77 = 105 (105 pencils)
105/7 = 15
15x7 = 105
11x7 = 77
105 +77 = 182
Convert from radians to degrees.
1/4π
1/4π radians is approximately equal to 45 degrees.
To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.
Degrees = Radians × 180/π.
Therefore, to convert 1/4π radians to degrees, we have:
Degrees = (1/4π) × (180/π) ≈ 45°
Hence, 1/4π radians is approximately equal to 45 degrees.
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While reviewing the previous day’s arrest report, a police sergeant notices that five suspects were arrested, all of whom had either one or two previous arrests. Including yesterday’s arrests, there were 12 total arrests among them. How many suspects had less than two prior arrests?
The number of suspects had less than two prior arrests are 3.
Given that, While reviewing the previous day’s arrest report.
Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.
Here, x+y=5 -----(i)
2x+3y=12 -----(ii)
From equation (i), x=5-y in equation (ii), we get
2(5-y)+3y=12
10-2y+3y=12
10+y=12
y=2
Substitute y=2 in equation (i), we get
x+2=5
x=3
Therefore, the number of suspects had less than two prior arrests are 3.
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Let a, b, and c be real numbers where a b c 0. Which of the following functions could represent the graph below?
Answer:
\(f(x)=x^2(x-a)^2(x-b)^4(x-c)\)
Step-by-step explanation:
There is a double root at \(x=0\), which corresponds to \(x\) raised to an even power.
There are also 2 more double roots and one more single root. This corresponds to two factors raised to an even power and one factoe raised to an odd power.
The only option that satisfies this is Option 1.
The graphical representation of the polynomial function is given by the relation f ( x ) = x² ( x - a )²( x - b )⁴ ( x - c )
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the polynomial equation be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x² ( x - a )²( x - b )⁴ ( x - c )
The factors (x - a), (x - b), and (x - c) indicate that the function has roots at x = a, x = b, and x = c. These roots are of multiplicity 2, 4, and 1 respectively, which means that they are repeated in the factors (x - a)², (x - b)⁴, and (x - c), respectively.
The factor x² indicates that the graph of the function opens upward, since the leading coefficient is positive.
Overall, the graph of this function will have eight "humps" or "bumps" corresponding to its eight roots, and the heights and shapes of these bumps will depend on the values of a, b, and c.
Hence , the graph of the function is plotted
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Mrs. Jackson had 493 canned goods that she collected for the annual canned food drive. She put all the cans in 7 equal piles. About how many cans are in each pile?
Answer:
about 70 cans
Step-by-step explanation:
493÷7=70.42
the votes for Tigers outnumbered the votes for Lions by a ratio of 240 to 160. Describe the meaning of the statement and identify if its part to part or part to whole ratio
The ratio of 240 to 160 is part to part ratio.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The votes for Tigers outnumbered the votes for Lions by a ratio of 240 to 160.
⇒ 240 : 160.
Now,
We know that,
The ratio of part to part will be two different objects.
And, The ratio of part to whole will be the ratio of object to whole object.
Here, The ratio is given as;
⇒ 240 to 160.
⇒ 240 : 160
And, 240 > 160
So, The ratio is part to part ratio.
Thus, The ratio of 240 to 160 is part to part ratio.
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In the Gaussian integral, how does the left side of this equation equal the right side? An answer would be really appreciated, thank you.
the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.
How do we calculate?
using completing the square method:
Starting with the left side of the equation:
∫\(e^(^-^x^2)\) dx
\(e^(^-^x^2) = (e^(^-x^2/2))^2\)
∫\((e^(^-^x^2/2))^2 dx\)
let u = √(x²/2) = x = √(2u²).
dx = √2u du.
∫ \((e^(^x^2/2))^2 dx\)
= ∫ \((e^(^-2u^2)\)) (√2u du)
The integral of \(e^(-2u^2)\)= √(π/2).
∫ \((e^(-x^2/2))^2\) dx
= ∫ (√2u du) \((e^(-2u^2))\\\)
= √(π/2) ∫ (√2u du)
We substitute back u = √(x²/2), we obtain:
∫ \((e^(-x^2/2))^2\)dx
= √(π/2) (√(x²/2))²
= √(π/2) (x²/2)
= (√π/2) x²
A comparison with the right side of the equation shows that they are are equal.
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Elvira and Aletheia live 2.5 miles apart on the same street. They are in a study group that meets at a coffee shop between their houses. It took Elvira half an hour and Aletheia three-fifths of an hour to walk to the coffee shop. Aletheia's speed is 0.6 miles per hour slower than Elvira's speed. Find both women's walking speeds, in miles per hour.
Elvira's walking speed is 5 miles per hour, and Aletheia's walking speed is approximately 4.17 miles per hour.
What is the women's walking speeds?
Let's denote Elvira's walking speed as x (in miles per hour).
Then, Aletheia's walking speed is x - 0.6 (since she walks 0.6 miles per hour slower than Elvira).
We know that Elvira walked to the coffee shop in half an hour, covering a distance of 2.5 miles.
This means her speed can be calculated as:
x = distance / time = 2.5 miles / 0.5 hours = 5 miles per hour
Now, we can find Aletheia's speed using the equation we found earlier:
x - 0.6 = Aletheia's speed
We also know that Aletheia walked to the coffee shop in three-fifths of an hour (which is 0.6 hours), covering the same distance of 2.5 miles.
This means her speed can be calculated as:
x - 0.6 = distance / time = 2.5 miles / 0.6 hours ≈ 4.17 miles per hour
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Katherine is going to invest in an account paying an interest rate of 5.8%
compounded monthly. How much would Katherine need to invest, to the nearest ten
dollars, for the value of the account to reach $960 in 16 years?
The amount that Katherine, who is going to invest in an account paying an interest rate of 5.8% compounded monthly, would need to invest, to the nearest ten dollars for the future value of the account for the account to reach $960 in 26 years, is $380 (present value).
What is the difference between the future value and the present value?The future value is the present value compounded at an interest rate.
The present value is the future value discounted at an interest rate.
The future value and the present value can be computed using an online finance calculator.
N (# of periods) = 192 months (16 years x 12)
I/Y (Interest per year) = 5.8%
PMT (Periodic Payment) = $0
FV (Future Value) = $960
Results:
Present Value (PV) = $380.38
Total Interest = $579.62
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On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 40. Find the z-score of a person who scored 300 on the exam.
A z-score of 0 indicates that the person's score is equal to the mean, so they are right at the Average Performance level.the z-score of a person who scored 300 on the exam is 0.
The z-score of a person who scored 300 on the exam, we can use the formula:
z = (x - μ) / σ
where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.
In this case, the person scored 300 on the exam, which is equal to the mean (μ). Therefore, we can substitute these values into the formula:
z = (300 - 300) / 40
Simplifying the equation, we have:
z = 0 / 40
Since any number divided by zero is undefined, we can conclude that the z-score of a person who scored 300 on the exam is 0.
The z-score measures the number of standard deviations a data point is away from the mean. In this case, a z-score of 0 indicates that the person's score is equal to the mean, so they are right at the average performance level.
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anyone good at maths?
1 ) 4 × 11 = 44 yd
____________________
2) 4 × 2 = 8 ft
____________________
3) 4 × 4 = 16 in
____________________
4) 4 × 6 = 24 ft
____________________
5) 4 × 18 = 72 in
____________________
6) 4 × 5 = 20 yd
____________________
7) 4 × 9 = 36 in
____________________
8) 4 × 13 = 52 yd
____________________
9) 4 × 10 = 40 ft
Answer:
I am good, but not for peremiter
Step-by-step explanation:
A person's recommended weight can be calculated
using the following formula:
11(h - 40)/2
Where w = weight and h = height in inches.
If Stuart is 5 feet 10 inches tall, what is his
recommended weight?
The following formula: 11(h - 40)/2 Recommended weight is 165 lbs
The formula is
=11(h - 40)/2
w = weight and h = height in inches.
5 feet 10 inches tall,
so putting the value of h
11(43-40)/2=165lbs
The first big step you can take to improve your health is to achieve your desired body weight. Obesity and being overweight are the root causes of the majority of lifestyle illnesses .
Heart disease, stroke, diabetes, obesity, metabolic syndrome, chronic obstructive pulmonary disease, and some forms of cancer are among them . What was formerly thought to be a "western sickness" or "affluent disease" now affects poor countries as well.
The first big step you can take to improve your health is to achieve your desired body weight. Obesity and being overweight are the root causes of the majority of lifestyle illnesses . Heart disease, stroke, diabetes, obesity, metabolic syndrome, chronic obstructive pulmonary disease, and others are examples.
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find the line of best fit for the set of data
The line of best fit for the set of data in this problem is given as follows:
y = 0.613x + 4.142.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.
The points for this problem are given as follows:
(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).
Inserting these points into a calculator, the line of best fit is given as follows:
y = 0.613x + 4.142.
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Throughout history, people have kept track of time by making
O
A) Secondary
Sources
O B) Calendars
O C) Labels
D) Sacred Texts
I need the answer fast pls
Answer:
secondary sources cause that what makes them
State if the two triangles are congruent. if they are, state how you know
Answer:
by the following axioms:
1. SSS Axiom
2.ASA Axiom
3.SAS Axiom
4.AAS Axiom
5.RHS Axiom
After getting knocked off his boogie board, Randy watches it float up and down on the ocean waves. The board moves 9.6 feet from its low point to its high point, returning to its low point every seconds.
a) Write an equation that gives the board's vertical position y at time t if the board is at
its highest point when t = 0.
b) Explain why you chose a sine or cosine function for part a.
Answer:
f(t)= (9.6/2)cosBt
= 4.8cosBt
where B=2pi/period
use cosine to avoid a phase shift
The zoo downtown has 9 times as many monkeys as elephants. They have 60 animals all together. How many elephants are there?
Answer:
6
Step-by-step explanation:
e = number of elephants
9 times as many monkeys as elephants
m = 9e
------------------------
60 animals all together
e + m = 60
e + 9e = 60
Combine like terms
10e = 60
Divide both sides by 10
e = 6
Answer: There’s technically no answer to this question, unless you specify that the zoo only has monkeys and elephants. If the zoo has more than two types of animal then the ratio doesn’t help because there are unknown variables.
However, if we knew that the zoo only has monkeys and elephants, then:
E = number of elephants
M = number of monkeys
M=9E
M + E = 60
9E+E= 60
10E = 60
E = 6
There are 6 elephants (and 54 monkeys).
Formulate the null and alternative hypotheses that can be used to determine whether the school is losing money out of the raffle. Note that the issue is whether the school is losing money, not whether the school is breaking even. Please think about what the implication is when formulating the null and alternative hypotheses.
Answer:
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Step-by-step explanation:
Select ALL the correct answers. Which of the following statements are true about the equation below? The solutions are . The solutions are . The extreme value is at the point (7,-3). The graph of the quadratic equation has a minimum value. The extreme value is at the point (3,-7). The graph of the quadratic equation has a maximum value.
None of the statements (1) to (6) are true about the equation \(x^2-6x+2=0\).
What does a math quadratic equation mean?Definitions: x ax2 + bx + c = 0 is a quadratic equation, which is a 2nd polynomial formula in a variable. a 0. It has at least 1 solution since it is a 2nd polynomial equation, which is guaranteed by the algebraic theorem. The solution might be simple or difficult.
None of the statements (1) to (6) are true about the equation. \(x^2-6x+2=0\).
Reason why:
(1) The coefficient of the \(x^2\) term is positive, so the graph of the quadratic equation is a parabola that opens upward. Therefore, it does not have a minimum value, but instead has a minimum point.
(2) The coordinates of the minimum point can be found using the formula x = -b/2a, which gives x = 6/2 = 3. Substituting x = 3 into the equation gives y = 2, so the minimum point is (3, 2).
(3) The point (7,-3) is not on the graph of the equation.
(4) The solutions to the equation are given by the quadratic formula x = \([6\± \sqrt{(6^2 - 4(1)(2))]}/2 = [6\± \sqrt{(28)]}/2 = 3\± \sqrt{7}\). So, statement (4) is partially correct, but the value of -3 is incorrect.
(5) Statement (5) is correct, as the solutions to the equation are x = \(3\±\sqrt7}\).
(6) The graph of the quadratic equation has a minimum value, not a maximum value.
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Complete question is: Which of the following statements are true about the equation below?
x^2-6x+2=0
( 1 ) The graph of the quadratic equation has a minimum value.
( 2 ) The extreme value is at the point (3,-7).
( 3 ) The extreme value is at the point (7,-3).
( 4 ) The solutions are x = -3 + or - the square root of 7 .
( 5 ) The solutions arex = 3 + or - the square root of 7.
( 6 ) The graph of the quadratic equation has a maximum value.
54 - x = 31. What does x Equal
Answer:
23
Step-by-step explanation:
31+23=54
\(54-x=31\)
Simplify:
\(-x+54=31\)
Subtract 54 from both sides:
\(-x+54-54=31-54\)
\(-x=-23\)
Divide both sides by -1:
\(\dfrac{-x}{-1} =\dfrac{-23}{-1}\)
\(=\fbox{x = 23}\)
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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Solve for x
3/5x +1/3x
Answer:
14x/15
Step-by-step explanation:
Determine the percentile of 6.2 using the following data set.
4.2 4.6 5.1 6.2 6.3 6.6 6.7 6.8 7.1 7.2
Your answer should be an exact numerical value.
The percentile of 6.2 is |
%.
The percentile of 6.2 in the given data set is 40%.
To determine the percentile of 6.2 in the given data set, we can use the following steps:
Arrange the data set in ascending order:
4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2
Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.
Calculate the percentile using the formula:
Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100
In this case, the percentile of 6.2 can be calculated as:
Percentile = (4 / 10) × 100 = 40%
The percentile of 6.2 in the sample data set is therefore 40%.
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Solve the equation for y. Identify the slope and y-intercept. Then graph the equation.
-3y=3x-9
Y=
M=
B=
When a retired police officer passes away, he leaves $45,000 to be divided among his three children and three grandchildren. The will specifies that each child is to get twice as much as each grandchild. How much does each get?
The answer that I got is 7 500
perpendicular to line y=1/2x-8 passes through (7,-6) point slope form
The equation of line is y = -2x + 8 and the slope is m = -2
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The equation of line perpendicular to the line is y = ( 1/2 )x - 8
Now , the slope of the line m₁ = 1/2
For perpendicular lines , the product of the slopes is -1
So , m₁ x m₂ = -1
So , the value of Slope m₂ = -2
And , the line passes through the point P ( 7 , -6 )
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - ( -6 ) = ( -2 ) ( x - 7 )
On simplifying the equation , we get
y + 6 = -2x + 14
Subtracting 6 on both sides of the equation , we get
y = -2x + 8
Hence , the equation of line is y = -2x + 8
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Pls help I will appreciate it what do I write in box I’m having hard time
Answer:
sorry, the answer is undefined because negative in squer is undefined
Question in the picture
I will find x, so 4x-4=180, so 4x=184, so x=46
Sorry if i answered wrong I don't understand what it is asking for.