Answer:
2y^2+4y
Step-by-step explanation:
7y^2-5y+9y-5y^2
=7y^2+4y-5y^2
=7y^2-5y^2+4y
=2y^2+4y
a wire of length 38 m is divided into two pieces and each piece is bent into a square. how should this be done in order to minimize the sum of the areas of the two squares? (give your answer in the form of a comma separated list of the lengths of the two pieces.)
The lengths of the two pieces of a wire will be 19,19.
Define square.A square is a closed, two-dimensional object with four equal sides and four vertices. On either side, it has parallel sides.
The square of a square's side determines its area.
Given data -
Length of a wire = 38 m
As the wire is divided into two pieces,
Let the length of two pieces of wire be x and y m respectively.
As per given data, x + y = 38
Therefore, y = 38 - x
As each piece is bent into a square, area of squares will be
\((x/4)^{2}\) and \((y/4)^{2}\)
Therefore, the sum of areas of two squares will be A = \((x/4)^{2}\) + \((y/4)^{2}\)
A = \(x^{2}\)/16 + \(y^{2}\)/16
A = \(x^{2}\)/16 + \((38-x)^{2}\)/16
By differentiating, we will get
A' = \(\frac{2x}{16}\) - \(\frac{2(38-x)}{16}\)
In order to minimize the the sum of the areas of the two squares, we will take A' = 0
0 = x - (38 - x)
2x = 38
x = 19
Therefore y = 19
The length of two pieces of a wire should be 19 m each.
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Step-by-step explanation:
perimeter =5x. where x is the side length
solve differential equation dy/dx=y^2 . 16y(2)=0
The particular solution corresponding to the initial condition 16y(2) = 0 (which I assume means y(2) = 0), we can plug x = 2 and y = 0 into the equation:
-1/0 = 2 + C
To solve the differential equation dy/dx=y^2, we can separate the variables and integrate both sides.
dy/y^2 = dx
Integrating both sides:
-1/y = x + C
where C is the constant of integration. Solving for y:
y = -1/(x+C)
To solve the second part of the question, 16y(2) = 0, we substitute y(2) into the equation we just found:
y(2) = -1/(2+C)
16y(2) = 16*(-1/(2+C)) = -16/(2+C) = 0
Solving for C:
-16 = 0*(2+C)
Thus, C can be any value since 0 multiplied by any number is 0. Therefore, the solution to the differential equation dy/dx=y^2 and the equation 16y(2)=0 is y = -1/(x+ C), where C is any constant.
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Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players?
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.
The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.
The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.
In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.
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Jayden has two jobs. one week his paycheck was the same for both jobs. as a server he eared $9. 64 per hour plus $82. 35 in tips working at a jewelry store he earned $14. 86 per hour plus $17. 10 in sales
bonuses.
part a
select the equation that can be used to determine the number of hours, h, that jayden worked the week his paycheck was the same
for both jobs.
o 24. 5h
= 99.45
0 91 99
= 31. 96h
0 82. 35h + 9.64
0 9. 64h + 82. 35
17.10h + 14.86
14.86h + 17.10
part b
be
the total amount of money that jayden made when both paychecks were the same is $
the total amount of money that jayden made when both paychecks were the same is $99.45
To determine the number of hours Jayden worked the week his paycheck was the same for both jobs, we can solve an equation. The equation we'll use is 14.86h + 17.10 = 99.45. We can subtract 17.10 from both sides, leaving 14.86h = 82.35. Then we cane b divide both sides of the equation by 14.86, which will give us the result of h = 5.55 hours. The total amount of money that Jayden made when both paychecks were the same is 99.45. This can be confirmed by combining his earnings for both jobs, which would be 9.64h + 82.35 + 14.86h + 17.10 = 99.45.
Jayden worked 5.55 hours in the week his paycheck was the same for both jobs, and he earned a total of $99.45.
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Yesterday, Priya successfully made 12 free throws. Today, she made 150% as many. How many successful free throws did Priya make
Answer: 18
Step-by-step explanation:
\(12(1.50)=18\)
What all the multiples of 8?
Answer:
through 12?
Step-by-step explanation:
8,16,24,32,40,48,56,64,72,80,88,96
Which equation is equivalent to y=2/3x−6
Step-by-step explanation:
I'm assuming this question is multiple choice, as there are several answers. y=x-18 is one, if that's an option. if you gave me the rest of the question, I might be able to help more :)
How do you find the domain and range of a square root of a quadratic function?.
Domain and range of a square root of a quadratic function is as [ 0, ∞ ) , and [ 0 ,∞ ) respectively which is find by simplification.
Let us consider a square root quadratic function y = √x.
Domain of a square root quadratic function is :
All input values of x are domain of a function.
y = √x
⇒ x = y²
⇒ x ≥ 0
All the input values representing the domain are x > 0.
This implies domain is [0 , ∞ ).
And range of a square root quadratic function is:
All output values of y are range of a function.
y = √x
As we know x = y²
√y² = y > 0 .
Range is [ 0, ∞ ).
Therefore, domain and range of square root of a quadratic function is calculated by simplifying the function.
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Isabella poured ten 25-liter pails of water into her pool. there was already 800 liters of water in the pool. how much water is in the pool after she is done?
Answer:
1025 - litres
Step-by-step explanation:
Each pail of water contains a volume of 25 - litres. Therefore, as she poured 10 of them into the pool, she poured (10 × 25 =) 250 litres.Now, the total should be the sum of the newly poured and the water volume already in the pool.Therefore, simple addition of the two values should give you the answer as 250 litres + 800 litres = (250 + 800) litres = 1050 litres.The hard part of this question for you should be how to calculate the volume Isabella added as it involves some multiplication and addition that need to be extracted from the description.Do practice more examples to familiarize yourself with these types.#SPJ4
HELP ASAP !!!!
Write and graph linear equations
The equation of slope intercept form is y =−4x+24
An intercept is a y-axis point through which the slope of a line passes. It is the y-coordinate of a y-axis point at which a straight line or a curve intersects. This is represented by the straight-line equation y = mx+c, where m is the slope and c is the y-intercept.
Given m = -4 and point)-3, -12)
One way to write a line's equation is in slope-intercept form, which looks like this:
y = mx+b
m = slope
b = y-intercept (where the line crosses the y-axis)
The problem has already been given
m = −4
x=-3
y=-12
Normally, the equation of a line is left with x and y being variables, and m and b having values. Since we do not have a value for b, we will plug all those numbers in and solve.
When those are substituted, the equation should look like this.
-12=(4)(-3)+b
-12=12+b
24=b
So the line's equation would be:
y=−4x+24
And this is your equation graphed. Notice how the line crosses the y-axis at 24, and that the slope is −4, just like the equation says.
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Use the following contingency table to complete (a) and (b) below. A B Total P 90 1 15 25 50 40 45 50 135 Total 55 70 100 225 a. Compute the expected frequencies for each cell. A 1 2 (Type integers or decimals. Do not round.)
Expected frequencies are A: 22, B: 33, P: 28, Q: 42 (rounded to the nearest whole number).
(a) To compute the expected frequencies for each cell, we can use the formula:
Expected Frequency = (row total * column total) / grand total
Expected frequencies for each cell in the contingency table are as follows:
Cell A: (55 * 90) / 225 = 22
Cell B: (55 * 135) / 225 = 33
Cell P: (70 * 90) / 225 = 28
Cell Q: (70 * 135) / 225 = 42
(b) The expected frequencies for each cell are as follows:
Cell A: 22
Cell B: 33
Cell P: 28
Cell Q: 42
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What are 3 items that need to be addressed in the coding quality plan that will help achieve the kpi of 98 ccuracy?
are the three items that need to be addressed in the coding quality plan that will help achieve the KPI of 98 accuracy.
KPI:
KPI = Key Performance Indicator
A performance indicator or key performance indicator is a type of performance measurement. It basically evaluate the success of an organization or of a particular activity in which it engages.
Given,
Here we need to find the 3 items that need to be addressed in the coding quality plan that will help achieve the KPI of 98 accuracy.
The following are the 3 major pillars that are helps to achieve the KPI of 98 accuracy.
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Simplify
\( \sqrt[4]{ {5}^{4} } \)
4
5
25
625
Answer:
5
Step-by-step explanation:
\( \sqrt[4]{ {5}^{4} } \\ = ({5}^{4})^{ \frac{1}{4} } \\ = {5}^{ \frac{4}{4} } \\ = 5\)
Answer:
5
Step-by-step explanation:
HELP Without using a calculator, match each expression to the correct point.
Answer:
\(1)7.81 = a\)
\(2)3\pi = b\)
\(3) \sqrt{73} = c\)
\(im \: not \: 100\% \: sure \: about \: b \: and \: c\)
\(but \: i \: think \: i \: got \: it \: right \: \\ hope \: this \: helps\)
From mental and pen paper calculation we came up that a = \(7.\overline{81}\), b = √73 and c = 3π.
What is a number line ?A number line is a horizonal line in which we can represent all our real numbers.
According to the given question without using a calculator we have to determine locations of √73, 3π and \(7.\overline{81}\) on the number line.
For √73 we know, √64 is 8 and √81 is 9 so √73 lies between 8 and 9 on the number line and more closer to √81 as the distance between √73 and √81 is less than √64 and √73.
For 3π we know, π ≈ 3.14 so 3 times of 3 is 9 and 3 times of 14 is 42 so 3 times of .14 is .42 so it is 9 + .42 = 9.42.So it will lie between 9 and 10 and a just closer to 9 than 10.
For, \(7.\overline{81}\) it will be in between 7 and 8 and lot closer to 8 (common sense).
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some one plz help me and no scam links plz and if u do i will report and just no scam links :( look at the pic for the work
Answer:
LOOK BELOW: USE FORMULA WHL WIDTH X HEIGHT X LENGTH
Step-by-step explanation:
4 IN, 3IN, 6IN =72 IN CUBED
6IN, 3IN, 2IN= 36 IN CUBED
4IN, 5IN, 4IN= 80 IN CUBED
2IN, 9IN, 3IN= 54 IN CUBED
Challenger Elementary School has 800 students. Every Wednesday, 12% of the students stay after school for Chess Club. How many students attend on Wednesday’s?
Answer:
96 students attend chess club after school on Wednesday's.
Step-by-step explanation:
To solve this problem, simply multiply 800 x 0.12.
800 x 0.12 = 96
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a great day!
Answer:
\(\huge\boxed{\text{96 students}}\)
Step-by-step explanation:
In order to find how many students stay back for Chess Club, we want to find 12% of 800.
To do this, we can set up a percentage proportion.
\(\frac{12}{100} = \frac{x}{800}\)
We can now solve for x by cross multiplying.
\(800 \cdot 12 = 9600\\9600 \div 100 = 96\)
So, 96 students attend Chess Club on Wednesdays.
Hope this helped!
The scale on a map is 2 cm equals 45 miles if two cities are 157.5 miles from one another how far apart are they on a map?
Answer:
7cm
Step-by-step explanation:
Given scale of the map;
2cm on map is 45 miles on land
A scale expresses the relationship between map distance and the true is distance;
2cm on map is 45 miles on land ; or ;
45miles on land is 2cm on the map
157.5miles on land will be \(\frac{157.5x2}{45}\) = 7cm
The distance on the map is 7cm
16d+2/3=14(d−2) d=
solve for D
Answer:
d = \(-\frac{43}{3}\)
Step-by-step explanation:
Step 1: we will simplify both sides of the equation
16d + 2/3 = (14)(d) + (14)(−2)
16d + 2/3 = 14d + −28
16d + 2/3 = 14d - 28
Step 2: we need to subtract 14d on both sides
16d + 2/3 - 14d = 14d - 28 - 14d
2d + 2/3 = -28vide both
Step 3: we will subtract 2/3 from both sides
2d + 2/3 - 2/3 = -28 - 2/3
2d = -86/3
Step 4: Divide both side by 2
2d/2 = d
-86/3/2 = -43/3
d = -43/3
Image transcription textFind all points on the graph of y = f (x) for which the tangent line passes through the point (1, -1).
f (x) = 3x2 - 4x +3
points:
2
Incorrect... Show moreImage transcription textDetermine whether function f is differentiable at x = -1.
f (x) = x2 -11
If the function is differentiable, enter the value of f' (-1) . If the function is not differentiable, enter DNE.
f' (-1) =... Show more
This process may lead to a quadratic equation that needs to be solved, resulting in multiple x-values. These x-values will correspond to the points on the graph of y = f(x) where the tangent line passes through (1, -1).
To find the points on the graph of y = f(x) where the tangent line passes through the point (1, -1), we need to find the x-values that satisfy this condition.
First, we need to find the derivative of the function f(x). The derivative of f(x) = 3x^2 - 4x + 3 is f'(x) = 6x - 4.
Now, let's find the slope of the tangent line passing through the point (1, -1). We can use the point-slope form of a line, which is given by y - y1 = m(x - x1), where (x1, y1) is the point on the line and m is the slope of the line.
Substituting the values (1, -1) into the equation, we get y - (-1) = (6x - 4)(x - 1). Simplifying this equation, we have y + 1 = 6x^2 - 10x - 4.
To find the x-values that satisfy this equation, we can substitute f(x) into y. So, y + 1 = 6(f(x)) - 10x - 4. Substituting f(x) = 3x^2 - 4x + 3, we have y + 1 = 6(3x^2 - 4x + 3) - 10x - 4.
Now, we can simplify the equation and solve for x to find the x-values for which the tangent line passes through (1, -1).
This process may lead to a quadratic equation that needs to be solved, resulting in multiple x-values. These x-values will correspond to the points on the graph of y = f(x) where the tangent line passes through (1, -1).
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Michelle has a round lamp to which she wants to add beads. The diameter is 12.2 inches. What is the circumference?
Answers
38.308 inches
45.68 inches
6.28 inches
18.08 inches
Answer:
38.308
Step-by-step explanation:
In a newspaper, it was reported that yearly robberies in Springfield were up 50%to 279 in 2012 from 2011. How many robberies were there in Springfield in 2011.
hi there! here's my answer for you...
There were 186 Springfield robberies in 2011.
hope this helped. i have included a step-by-step explanation below in case you need it. have a good one!
.
Think about what happens when you double a number.
You multiply it by 2. Since it's been doubles, we say is has had a 100% increase.
Likewise a 50% increase correlates to multiply by 1.5
Since we are trying to find the previous amount that experienced the increase, we divide by 1.5 to find the original amount because that amount*1.5 gives us 279.
Calling the original r, it is clear that 1.5r=279.
Solving for r, we find the original # of robberies to be 186.
Urgent please help..
Answer:
x ≈ 13.5
Step-by-step explanation:
Using the sine rule in the triangle, then
\(\frac{sin34}{x}\) = \(\frac{sin27}{11}\) ( cross- multiply )
x × sin27° = 11 × sin34° ( divide both sides by sin27° )
x = \(\frac{11sin34}{sin27}\) ≈ 13.5 ( to the nearest tenth )
????? Anyone know the answer
Answer:
the slope is 3 because y=mx+b where m= slope and b= y-intercept
Step-by-step explanation:
Aiko needs solid color and patterned fabric for a sewing project. Fabric costs $7.99 per yard. She needs 2 1/3 yards of solid fabric and some patterned fabric. Write two equivalent expressions for the total cost of the fabric
The two expressions that are comparable to one another for the total cost of the cloth are and
(7.99 × 7/3) and 18.64
This is further explained below.
What is expressions ?In most cases, the two expressions that are comparable to one another for the total cost of the cloth are
(7.99 × 7/3) and 18.64
Total cost = Cost of fabric per yard * Number of fabrics
= 7.99 × 2 1/3
= (7.99 × 7/3)
= 55.93 / 3
= 18.64
As a result, the two expressions that are comparable to one another for the total cost of the cloth are and
(7.99 × 7/3) and 18.64
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If land costs $100. 00 per square foot, what is the cost of. 21 acres
The cost of 0.21 acres of land would be $914,060.00 if the land is measured in square meters and the cost per square foot is $100.00.
There are different ways to approach this problem depending on the units of measurement. Here are a few possible ways to solve the problem:
If the land is measured in square feet:
1 acre = 43,560 square feet (by definition)
0.21 acres = 0.21 x 43,560 = 9,131.6 square feet
Cost of 9,131.6 square feet at $100.00 per square foot = $913,160.00
Therefore, the cost of 0.21 acres of land would be $913,160.00 if the land is measured in square feet.
If the land is measured in square meters:
1 acre = 4,046.86 square meters (by definition)
0.21 acres = 0.21 x 4,046.86 = 849.0446 square meters
1 square meter = 10.7639 square feet (approximately)
849.0446 square meters = 9,140.6 square feet (approximately)
Cost of 9,140.6 square feet at $100.00 per square foot = $914,060.00
Therefore, the cost of 0.21 acres of land would be $914,060.00 if the land is measured in square meters and the cost per square foot is $100.00.
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8x – 2 > -18
Can someone let me know if I am correct ?
Answer:
x > -2
Step-by-step explanation:
Evaluate the expression and enter the answer as a fraction in lowest terms, using the slash (/) for the fraction bar.
1/3 ÷ 5/6
Pleaseh help me! Find the missing side length using trig!
Answe\(3\sqrt{2)\)
Step-by-step explanation:
Bradley Benjamin heard that the nursing staff at Sky View earns $13. 93 per hour. He is currently earning $12. 46 per hour. How much more could he earn a week at Sky View than his current job if he calculated the rate for a 40 hour week?
Bradley could earn an additional $58.80 per week at Sky View compared to his current job if he calculated the rate for a 40-hour workweek.
We have,
To calculate the difference in weekly earnings, we need to find the difference in hourly rates and then multiply it by the number of hours worked in a week.
Bradley is currently earning $12.46 per hour, and the nursing staff at Sky View earns $13.93 per hour.
The difference in hourly rates is:
$13.93 - $12.46 = $1.47
Now, we need to calculate the additional earnings per hour:
$1.47 * 40 hours = $58.80
Therefore,
Bradley could earn an additional $58.80 per week at Sky View compared to his current job if he calculated the rate for a 40-hour workweek.
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