The absolute difference of two real numbers x, y is given by |x - y|. Now we need to know the population of Chandler and Gilbert after 10 years.
Chandler: We have that after ten years the population is 220,000
Gilbert: after ten years the population is
the 1 year after: 200,000 + 20,000 = 220,000
the 2 year after: 220,000 + 22,000 = 242,000
the 3 year after: 242,000 + 24,200 = 266,200
the 4 year after: 266,200 + 26,620 = 292,820
the 5 year after: 292,820 + 29,282 = 322,102
the 6 year after: 322,102 + 32,210.2 = 354,312.2
the 7 year after: 354,312.2 + 35,431.22 = 389,743.42
the 8 year after: 389,743.42 + 38,974.342 = 428,717.762
the 9 year after: 428,717.762 + 42,871.7762 = 471,589.5382
the 10 year after: 471,589.5382 + 47,158.95382 = 518,748.90764
a. So the absolute difference is |518,748.90764 - 220,000 |= 298,748.90764
The relative difference is given bu the formula
\(\frac{\lvert{x-y}\rvert}{max{}\lbrace x,y\rbrace}\)in this case we have that the relative difference is
\(\frac{\lvert{518,748.90764-220,000}\rvert}{518,748.90764}=\frac{298,748.90764}{518,748.90764}\)b. 0.57590272
Just tell me like first one goes to... or like seconds one goes to..
Complete the factor pairs of
12
12 = 1x12
12 = 3x4
12=?
Answer:
12= 1x12 12= 3x4 12=6x2
Step-by-step explanation:
hope i helped :))))
Taylor buys candy at the store that costs $1.50 per candy bar.
Create a table that could represent Taylor’s cost per candy bar.
Candy
Cost
0 /0
1 /1.50
? ?
? ?
? ?
Answer:
2/ 3.00
3/4.50
4/6.00
Step-by-step explanation:
−3x+7y=5x+2y as ordered pair
Answer:
y = 8/5x
Step-by-step explanation:
−3x + 7y = 5x +2y
+3x +3x
7y = 8x + 2y
-2y -2y
5y = 8x
/5 /5
y = 8/5x
*View attached graph for ordered pairs*
Hope this helps!
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Simplify (2m^4)(5m^2)
Answer:
\((2 {m}^{4} )(5 {m}^{2} ) \\ = 10 {m}^{4 + 2 } \\ = 10 {m}^{6} \)
I hope I helped you^_^
Dan Invests £2500 into his bank account. He receives 5% per year simple interest. How much will Dan have after 2 years? Give your answer to the nearest penny where appropriate.
Please help me give me the answer:
Explanation:
Answer:
Sure, I'd be happy to help you with that!
To calculate Dan's earnings with simple interest, we can use the following formula:
I = P * r * t
where:
I = interest earned
P = principal amount (initial investment)
r = interest rate (as a decimal)
t = time period (in years)
We know that Dan invests £2500 and receives 5% simple interest per year, so:
P = £2500
r = 0.05
t = 2 years
Plugging these values into the formula, we get:
I = £2500 * 0.05 * 2
I = £250
This means that Dan will earn £250 in interest over the 2-year period.
To calculate Dan's total earnings, we simply add the interest earned to the initial investment:
Total earnings = £2500 + £250
Total earnings = £2750
Therefore, Dan will have £2750 in his bank account after 2 years.
3. Bryan spent $13.00 of the $25.00 he got for his birthday. What decimal represents the fraction of birthday money Bryan spent?
===================================================
Explanation:
Use your calculator to type in either 13/52 or 13 ÷ 52
The calculator should display 0.52 as the answer. The decimal 0.52 converts to 52%
The steps for the long division are shown below.
a girl was 6 and sister was 2,the girl is now 24,how old is the sister?
Answer:
The sister is 20
Step-by-step explanation:
The sister is 4 years younger than the girl.
A box contains x apples.
5 are green and the rest are red.
Write an expression for P(red).
Answer:
25
Step-by-step explanation:
a box contians× means 5×5=25
Find slope of (- 6,1)and(8,-7)
The slope of the line passing through the points (-6, 1) and (8, -7) is -4/7.
What is the slope of the given points?Slope is simply expressed as change in y over the change in x.
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given the data in the question;
Point A: ( -6,1 )
x₁ = -6
y₁ = 1
Point B: ( 8,-7 )
x₂ = 8
y₂ = -7
Now, plug the given x and y values into the slope formula above and simplify:
\(Slope\ m = \frac{y_2 - y_1}{x_2 - x_1} \\\\Slope\ m = \frac{-7 - 1}{8 - (-6)} \\\\Slope\ m = \frac{-7 - 1}{8 + 6} \\\\Slope\ m = \frac{-8}{14} \\\\Slope\ m = -\frac{4}{7}\)
Therefore, the slope of the line is -4/7.
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1. Global warming creates local problems. Projections forecast that even a moderate air temperature increase of only 1.8 °F could cause brook trout distributions to decrease dramatically. For example, such a temperature increase would take Washburn county's 19 ponds that support brook trout down to 10 ponds. What would be the percent decrease in the number of ponds that support brook trout?
The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.
To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.
Initial number of ponds: 19
Final number of ponds: 10
To calculate the percent decrease, we can use the following formula:
Percent Decrease = (Difference / Initial Value) * 100
Let's apply this formula to the given data:
Difference = Initial number of ponds - Final number of ponds
Difference = 19 - 10
Difference = 9
Percent Decrease = (9 / 19) * 100
Now, let's calculate the percent decrease:
Percent Decrease = (9 / 19) * 100
Percent Decrease ≈ 47.37%
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What is the answer to 7/6 + 13/3=
Answer:
33/6 or 11/2 or 5.5
Step-by-step explanation:
One way to solve this is by using a calculator and spitting out a answer, but just in case you're not allowed to use a calculator, here's how you would do it on paper.
\(\frac{7}{6} +\frac{13}{3}\)
The two denominators are different, so we have to make them the same by multiply either side (sometimes both) to make the denominator the same.
\(\frac{7}{6} +\frac{13}{3}*2\\\\\frac{7}{6} + \frac{26}{6}\)
Now the denominators are the same. Since the denominators are the same, we can ignore the denominator for now and focus on the numerators.
26 + 7 = 33
The numerator is 33 when adding the two fractions together. Now, to make your fraction complete attach the denominator we ignored.
Your final answer is : \(\frac{33}{6}\) or a simplified version \(\frac{11}{2}\) or 5.5.
Answer:
11/2 or \(5\frac{1}{2}\)Step-by-step explanation:
\(7/6 + 13/3\\\\\mathrm{Least\:Common\:Multiplier\:of\:}6,\:3:\quad 6\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\\=\frac{7}{6}+\frac{26}{6}\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}\\\\\frac{7}{6}+\frac{26}{6}=\frac{7+26}{6}\\\\=\frac{33}{6}\\\\\mathrm{Factor\:the\:number:\:}\:33=3\times\:11\\\\=\frac{3\times\:11}{6}\\\\\mathrm{Factor\:the\:number:\:}\:6=3\times\:2\\=\frac{3\times\:11}{3\times\:2}\\\)
\(\\\mathrm{Cancel\:the\:common\:factor:}3\\=\frac{11}{2}\\\\= 5\frac{1}{2}\)
7/8+1/3 in simplest form
Answer:
\( \frac{7}{8} + \frac{1}{3} = \frac{21 + 8}{24} = \frac{29}{24} \)
2 more than n is the quotient of n and 6
Answer:
6n+2
Step-by-step explanation:
I NEED HELP PLSSSSSSSSSSSSSSSSSSSSS
Answer:
84 square meters
Step-by-step explanation:
A = (4 + 8)(7) = 12(7) = 84 square meters
Which expression calculates the time in hours a person takes to walk 35 miles at a speed of 5 miles/hour
35 miles
5 miles
(Hint: 5x =35)
1/1 Pt
7
hours
1 hour
circle which one we are using
or
D Time=
35 miles
S
5 miles/ hour
miles or hours???
An expression that calculates the time in hours a person takes to walk 35 miles at a speed of 5 miles/hour is: T = 35/5 = 7 hours.
What is speed?In Mathematics, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using the following unit of measurement;
Meter per seconds (m/s).Miles per hour (mph).Kilometers per hour (kph).How to calculate the speed?Mathematically, the speed of any a physical object can be calculated by using this formula;
Speed = distance/time
Making time the subject of formula, we have:
Time = distance/speed
Time = 35/5
Time = 7 hours.
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7).
2. Hot Text: For each graph, choose the correct sentence to describe the graph.
The graph represents a proportional relationship.
The graph does not represent a proportional relationship.
a. The graph represents a proportional relationship.
b. The graph does not represent a proportional relationship.
c. The graph does not represent a proportional relationship.
d. The graph represents a proportional relationship.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:
y = kx.
Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.
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Which line is perpendicular to 3y + 2x = 9?
Options:
6x - 4y = 12
2x + 3y = 6
y + 3x = -2
y = -2x + 6
Answer:
2x + 3y = 6
Step-by-step explanation:
Find an equation of the line that passes through the point
(x, y) = (3, 1) and is
perpendicular to the line
2x + 3y = 12
Considering the definition of perpendicular line, the equation of the perpendicular line that passes through the point (x, y) = (3, 1) and is perpendicular to the line 2x + 3y = 12 is y= 3/2x -7/2.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Perpendicular linePerpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Equation of perpendicular line in this caseIn this case, the line is 2x+3y= 12. Expressed in the form y = mx + b, you get:
3y= 12 - 2x
y= (-2x +12)÷ 3
y= -2/3x +4
Since multiplying the slopes of two perpendicular lines, you get -1, and the line has a slope of -2/3, you get:
-2/3× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-2/3)
slope perpendicular line= 3/2
The line passes through the point (3, 1). Replacing in the expression for parallel line:
1= 3/2× (3) + b
1= 9/2 + b
1- 9/2 = b
-7/2= b
Finally, the equation of of perpendicular line is y= 3/2x -7/2.
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)The mean voltage of a battery is 15 and S.D 0.2.Find the probability that four such batteries connected in series will have combined voltage of 60.8 or more volts
The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.
In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.
The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.
The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.
Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.
First, we need to standardize the value of 60.8 using the formula:
Z = (X - μ) / σ
Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.
In this case, the standardized value is:
Z = (60.8 - 60) / sqrt(0.16)
Z = 0.8 / 0.4
Z = 2
Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.
Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
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HELP! PLEASE final math problem I need this done by tomorrow please!!!
22. An electronics store makes $125 profit on every iPhone it sells and $100 on every Android it sells.
The store owner wants to make a profit of at least $500 a day selling DVD players and CD players.
a. Write an inequality to describe the situation.
x=iPhone y=Android
____x ______ ____y ____ _______
(125/100) (≤ / ≥) (500/125)
-rearrange so y is the answer
Answer: y ≥ (5/4)x - 1, where x represents the number of iPhones sold and y represents the number of Androids sold.
Step-by-step explanation:
Translate to an equation, but do not simplify or solve.
Eight more than x is equal to 53.
Solve the equation.
X =
+
Answer:
x + 8 = 53
Step-by-step explanation:
x + 8 = 53
8 more than x is x + 8 because ur adding 8 more to x. And that is equal to 53 because it literally says IS EQUAL to 53. therefore.
to solve isolate x by subtracting 8 from both side so:
x = 53-8
x = 45
green foods purchases packages of noodles by the carton. each carton contains 36 packages and costs $43.20. green foods sells the noodles for $2.29 per package. what is the markup per carton?
Answer:
91% markup
Step-by-step explanation:
$43.20 divided by 36 is $1.20 per package
if Green Foods is selling one package for $2.29 then they are marking each package up by $1.19
if you take the difference of the per carton prices (82.44-43.20) and divide it by 43.20, you get a 91% markup
A wire 22 cm long has a mass of 374 g. What is the mass of 13 cm of this wire?
Answer:
221 g
The up pinned pic is of inverse variation typed answer.. If u want word problem type answer here are the steps (EVEN IF THE STEPS ARE DIFFERENT ANSWERS REMAIN SAME)
Step-by-step explanation:
Mass of wire from 22cm = 374g
Mass of wire from 1 cm = 374÷22 = 17g
Mass of wire from 13 cm = 13×17 = 221 g
1 Analyze why you think some men do not report gender based violence. (2x2 what extent the following institutions have supported communi
A sample of 260 students enrolled at a university were asked what they intended to do after graduation. The results are shown below.
Bar Graph of Type of Employment
What percentage of students intend to go into state or local government after graduation?
Hi my name is Fabian and 69% because 69 is a man which is multi colour hair
Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-intercepts (if they exist).
y = negative x squared + 15 x minus 56
a.
(-7, 0); (-8, 0)
c.
(-7, 0); ( 8, 0)
b.
( 7, 0); (-8, 0)
d.
( 7, 0); ( 8, 0)
Please select the best answer from the choices provided
When y = -x² + 15x - 56 then coordinates are is (c) (-7, 0); (8, 0).
What are the quadratic functions?Quadratic functions are a type of polynomial function of degree 2, which can be expressed in form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable.
The graph of the given quadratic equation y = -x² + 15x - 56 can be plotted using a graphing calculator or any graphing tool. The x-intercepts are the points on the x-axis where the graph intersects the x-axis, i.e., the points where y = 0. By plotting the graph, we can determine the x-intercepts to be (-7, 0) and (8, 0), which correspond to option (c) (-7, 0); (8, 0).
Option (a) and (b) have incorrect x-coordinates for the x-intercepts, and option (d) has both positive x-coordinates for the x-intercepts, which is not correct based on the graph of the given quadratic equation.
Hence, option (c) is the correct answer.
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a. -3/2
b. 0
c. 3/2
d. DNE
Use the equation: y = 5x - 4 Write an equation in any form) of a line that passes through the point (-1,7) and is parallel to the original line.
Answer:
y = 5x + 12
Step-by-step explanation:
Use the formula: y - y1 = m(x - x1)
Plug in all numbers into your equation: y - 7 = 5(x - -1)
Minus with a minus becomes a positive: y - 7 = 5(x + 1)
Distribute: y - 7 = 5x + 5
Add 7 to both sides: +7 +7
Answer: y = 5x + 12