Answers
[tex] x^{2} -10x+ y^{2}-10y=-25 \\ \\ x^{2} -2(x)(5)+25 +y^{2}-2(y)(5)+25=-25+50 \\ \\ (x-5)^{2}+(y-5)^{2}=25 [/tex]
So, the center of the circle is (5,5) with radius equal to 5.
So, Draw the circle placing the center at (5,5) and with radius equal to 5.
Related Questions
Explain how you would use equivalent fractions to solve 0.5 + 0.10
Answers
1/2+1/10 which would be 3/5 which that in decimal form is .6
For the data set below, calculate the variance to the nearest hundredth decimal place. 27 38 47 42 33 56 37 57 38 52
Answers
Var=Σ(x-μ)²/(n-1)
mean=(27+38+47+42+33+56+37+57+38+52)/10=42.7
Σ(x-μ)²=(27-42.7)²+(38-42.7)²+(47-42.7)²+(42-42.7)²+(33-42.7)²+(56-42.7)²+(37-42.7)²+(57-42.7)²+(38-42.7)²+(52-42.7)²
=904.1
Thus variance will be:
904.1/(10-1)
=100.45555556
~100.5
what is the quotient of 1 over (1 plus the square root of 3)?
Answers
[tex]\dfrac{1}{1+\sqrt{3}}=\dfrac{1}{1+\sqrt{3}}\cdot \dfrac{1-\sqrt{3}}{1-\sqrt{3}}\\\\=\dfrac{1-\sqrt{3}}{1^{2}-(\sqrt{3})^{2}}=\dfrac{1-\sqrt{3}}{1-3}\\\\=\dfrac{\sqrt{3}-1}{2}[/tex]
This eqvaluates to approximately 0.3660254037844386.
−13 and a number 18 units to the right of −13"
tell me the equation?
Answers
If it is a regular equation then it will look like, : -13 + [(-13) + 18].
I hope this helps!
What is the cube root of 216x^9y^8
Answers
Please, see the attached file.
Thanks.
(216x^9y^8)^(1/3)
216^(1/3) = 6
9/3 = 3
8/3 = 2 2/3
(216x^9y^8)^(1/3) = 6 x^3 y^2 y^(2/3)
The prices (in dollars) of 50 randomly chosen types of shoes at 4 different stores are shown in the box plots. At which store would a person MOST LIKELY pay $18.75 for a pair of shoes?
A) Store A
B) Store B
C) Store C
D) Store D
Answers
The answer to this question is A.
In a box plot, the values outside box are less likely to occur than the values inside the box. The store a person MOST LIKELY pay $18.75 for a pair of shoes from is given by: Option A: Store A
How does a box-plot shows the data points?A box plot has 5 data description.
The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called second quartile.The last line of the box shows the third quartile.For all the box-plots plotted in the image attached, we can see that only the first box plot is such that the amount $18.75 is falling inside the box's boundaries.
The box is contained with more likely elements than those which are outside of it. It is because, the box contains those elements which are between first and third quartile. Since the selection was done randomly, so mean, median and mode all lie approximately on the same point due to the distribution tending to normal distribution(sample size is large enough (50 > 30, a needed sample size for consideration of that sample belonging from normal distribution)). Now, for the first graph, the median is closest to $18.75, and the more close a value is to center of a normal distribution, the more probable it is.
That's why, the store a person MOST LIKELY pay $18.75 for a pair of shoes from is given by: Option A: Store A
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The Fergusons reported making the following payments during the year:
State income taxes of $4,400. Federal tax withholding of $4,000.
Alimony payments to John’s former wife of $10,000.
Child support payments for John’s child with his former wife of $4,100.
$3,200 of real property taxes.
Sandy was reimbursed $600 for employee business expenses she incurred. She was required to provide documentation for her expenses to her employer.
In addition to the $750 of Web design expenses, John attended a conference to improve his skills associated with his Web design work. His trip was for three days and he incurred the following expenses: airfare $370, total taxi fares for trip $180, meals $80, and conference fee of $200.
$3,600 to Kid Care day care center for Samantha’s care while John and Sandy worked.
$14,000 interest on their home mortgage.
$3,000 interest on a $40,000 home-equity loan. They used the loan to pay for a family vacation and new car.
$6,000 cash charitable contributions to qualified charities.
Donation of used furniture to Goodwill. The furniture had a fair market value of $400 and cost $2,000.
a. What is the Fergusons’ 2017 federal income taxes payable or refund, including any self-employment tax and AMT, if applicable? (Use the 2017 AMT exemptions.) (Round your answer to 2 decimal places.)
Answers
Answer:163.46
Step-by-step explanation:
Kelly ask Tyrese to help her use the vertical line test to determine whether or not the curve that she was given it is a function Tyrese informed Kelly that an order for the given curve to be designated as a function of a vertical line drawn through any x value must intersect the Curve___ time(s)
Answers
General Idea:
Vertical line test is a test used to determine if a relation is a function. As per vertical line test, a relation is a function if there are no vertical lines that intersect the graph at more than one point.
Applying the concept:
Kelly ask Tyrese to help her use the vertical line test to determine whether or not the curve that she was given it is a function Tyrese informed Kelly that an order for the given curve to be designated as a function of a vertical line drawn through any x value must intersect the Curve [tex] ONE [/tex] time.
What equation results from completing the square and then factoring? x^2-8x=39
Answers
x²-8x=39
Group terms that contain the same variable
(x²-8x)=39
Complete
the square. Remember to balance the equation by adding the same constants
to each side
(x²-8x+16)=39+16
Rewrite as perfect squares
(x-4)²=55-------> (x-4)²-55=0(+/-)]x-4]=√55
(+)]x-4]=√55--------> x=4+√55
(-)]x-4]=√55-------> x=4-√55
the answer is
(x-4)²-55=0
Answer: (x-4)²=55
Step-by-step explanation:
This is apex answer
Determine whether the given equation has one solution, no solution, or infinitely many solutions. x+4/4=x+3/3
A. one solution
B. no solution
C. infinitely many solutions
D. cannot be determined
Please explain what you did to get the answer (it'll help me learn better)
Answers
Check the attachment.
Hope it helps you :)
Answer:
There can be only one solution
Step-by-step explanation:
The only soution is zero, because anything else is unequal.
G technical mathematics with calculus volume 10 find the derivative of the function y = sqrt(x^2+1) using limits definition
Answers
[tex]\displaystyle\frac{\mathrm dy}{\mathrm dx}=\lim_{h\to0}\frac{y(x+h)-y(x)}h[/tex]
[tex]\displaystyle\frac{\mathrm dy}{\mathrm dx}=\lim_{h\to0}\frac{\sqrt{(x+h)^2+1}-\sqrt{x^2+1}}h=\lim_{h\to0}\frac{\sqrt{x^2+2xh+h^2+1}-\sqrt{x^2+1}}h[/tex]
Multiply the numerator and denominator by the conjugate of the numerator:
[tex]\dfrac{\sqrt{x^2+2xh+h^2+1}-\sqrt{x^2+1}}h\cdot\dfrac{\sqrt{x^2+2xh+h^2+1}+\sqrt{x^2+1}}{\sqrt{x^2+2xh+h^2+1}+\sqrt{x^2+1}}=\dfrac{(x^2+2xh+h^2+1)-(x^2+1)}{h\left(\sqrt{x^2+2xh+h^2+1}+\sqrt{x^2+1}\right)}[/tex]
Now
[tex]\displaystyle\frac{\mathrm dy}{\mathrm dx}=\lim_{h\to0}\frac{(x^2+2xh+h^2+1)-(x^2+1)}{h\left(\sqrt{x^2+2xh+h^2+1}+\sqrt{x^2+1}\right)}[/tex]
[tex]=\displaystyle\lim_{h\to0}\frac{2xh+h^2}{h\left(\sqrt{x^2+2xh+h^2+1}+\sqrt{x^2+1}\right)}[/tex]
[tex]=\displaystyle\lim_{h\to0}\frac{2x+h}{\sqrt{x^2+2xh+h^2+1}+\sqrt{x^2+1}}[/tex]
As [tex]h\to0[/tex], in the numerator we have [tex]2x+h\to2x[/tex]; in the denominator we have [tex]\sqrt{x^2+2xh+h^2+1}\to\sqrt{x^2+1}[/tex]. So the limit is
[tex]\dfrac{2x}{2\sqrt{x^2+1}}=\dfrac x{\sqrt{x^2+1}}[/tex]
A grocer bought 300 pounds of bananas at 30 cents per pound. Experience at this store indicates that, as a result of aging, 30% of the bananas are sold at 80% of cost and another 10% are discarded. At what price per pound must the top-quality bananas be sold so that the total proceeds will result in a 20% markup on selling price? Round up to the nearest penny.
a. $0.51
b. $0.38
c. $0.30
Answers
Let p represent the selling price of the top-quality bananas (per pound). The revenue from the sale of those will be
p*(1 -0.30 -0.10) = 0.60p
The revenue from the sale of aged bananas will be
0.30*(0.80*$0.30) = $0.072
Then the total revenue is
(revenue from top quality bananas) +(revenue from aged bananas)
total revenue = 0.60p +0.072
The cost of the bananas is $0.30 (per pound).
Then the proceeds are
proceeds = (total revenue) - cost
And the problem tells us we want the proceeds to be 20% of the total revenue.
(total revenue) -cost = 0.20*(total revenue)
0.80*(total revenue) = cost
0.80*(0.60p +0.072) = 0.30
0.60p = (0.30/0.80) -0.072
p = 0.303/0.60 = 0.505
The best choice for the selling price of top quality bananas is ...
a. $0.51
i feel like its A but i am dumb
Q # 13. please help to solve this
Answers
A=2πrh+2πr^2
Where r is the radius and h is the height of the cylinder
You have that r=15.1 inches and h=12.8 inches, then:
A=2πrh+2r^2
A=2π(15.1 in)(12.8 in)+2π(15.1 in)^2
A=2647 in^2
The answer is 2647 in^2
Suppose you pay $1.00 to roll a fair die with the understanding that you will get back $3.00 for rolling a two or a three. what are the expected winnings?
Answers
A fair coin is tossed 25 times. what is the probability that at most 24 heads occur?
Answers
The probability that at most 24 heads occur is; 24/25.
What do we mean by probability?Probability is the branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely it is that a proposition is true. The probability of all the events occurring need to be 1.
We have been given that a fair coin is tossed 25 times.
So, We need to find the probability:
Favourable outcomes = 24
Total outcomes = 25
The formula of probability = Favourable outcomes/Total outcomes
⇒ 24 /25
Therefore, the probability that at most 24 heads occur is; 24/25.
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The probability of getting at most 24 heads in 25 tosses of a fair coin is approximately 99.999997%
The probability of getting at most 24 heads when a fair coin is tossed 25 times is essentially 100%, because the only other possible outcome is getting exactly 25 heads, which has a very small probability. Since each toss of a fair coin has only two possible outcomes (either head or tail), and each toss is independent, we can use the binomial distribution to find the probability of a certain number of heads occurring.
To calculate the probability of getting exactly 25 heads in 25 tosses, we use the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
Where:
n is the number of trials (tosses), so n=25,
k is the number of successes (heads) we're calculating the probability for, so k=25,
p is the probability of success on any given trial, which is 0.5 for a fair coin.
Substitute these values into the formula, we get:
P(X = 25) = (25 choose 25) * 0.5^25 * (1-0.5)^(25-25)
This equates to:
P(X = 25) = 1 * 0.5^25 * 1 = 1/33,554,432 ≈ 0.00000003 or 0.000003%.
Therefore, the probability of getting at most 24 heads is 1 - P(X = 25) which is approximately 0.99999997 or 99.999997%.
If p(a) = 0.35, p(b) = 0.45, and p(a and
b.= 0.25, then p(a|b) is:
Answers
[tex]\mathbb P(A\mid B)=\dfrac{\mathbb P(A\cap B)}{\mathbb P(B)}[/tex]
Thus
[tex]\mathbb P(A\mid B)=\dfrac{0.25}{0.45}\approx0.56[/tex]
At 9AM, a freight train leaves Boston for NYC, traveling at an average rate of 24 miles per hour. At noon, a passenger train sets out on the same route, traveling at an average rate of 60 miles per hour. How far from Boston do the two trains pass each other?
___ miles
Answers
How far as the slower train traveled in 3 hours?
Formula
d = r* t
r = 24 mph
t = 3 hours
d = ??
d = 24 * 3
d = 72 miles.
Step two
Start the clock at noon when the faster train begins to move. How much time will elapse before the fast train catches the slow one?
d = 60*t fast train
d = 24*t + 72 slow train The distances are the same so they can be equated..
Step Three
Solve the equation
60t = 24t + 72 Subtract 24t from both sides.
60t - 24t = 72
36t = 72 Divide by 48
t = 72 / 36
t = 2 hours.
How far does the fast train go in 2 hours?
d = r * t
r = 60 mph
t = 2 hours.
d = 60 * 2
d = 120 miles
How far does the slow train go in 2 hours.
r = 24 mph
t = 2 hours
d = 24 * 2
d = 48 miles
But the slow train started out 72 miles ahead of the fast train. It's distance from Boston is 48 + 72 = 120 miles.
Answer: Both trains will meet 120 miles away from Boston <<<<< Answer
Final answer:
The freight and passenger trains will meet 120 miles from Boston at 2 PM, which is 2 hours after the passenger train departs.
Explanation:
To solve this problem, we need to figure out when the two trains will meet, given their different start times and speeds. Since the freight train leaves at 9 AM and the passenger train leaves at noon, there is a 3-hour difference between their departure times.
In those 3 hours, the freight train will cover a distance of 3 hours imes 24 miles/hour = 72 miles.
Both trains are now heading towards each other, with the passenger train moving faster. We need to find out how long it will take for the passenger train to catch up to the freight train, starting from the 72-mile head start.
Let's call the time it takes for the passenger train to catch up 't' hours. In 't' hours, the passenger train will cover 60t miles and the freight train will cover 24t miles.
Since the passenger train is trying to cover the lead that the freight train has plus the distance both are covering after noon, we can set up an equation: 60t = 72 + 24t. Solving for 't' gives us 't' = 72 / (60 - 24) = 2 hours. So, in 2 hours after noon, which is at 2 PM, the two trains will meet.
Now we find out how far from Boston they will meet by calculating the distance the passenger train travels in those 2 hours: Distance = 60 miles/hour imes 2 hours = 120 miles from Boston.
PLEASE HELP ***What is the length of AC??? Please help me understand how to find this
Answers
AC and CE have the same ratio as BA and DE. So you can get the answer by getting their proportions.
84 = 7
156-x x
Cross multiply, transpose, and simplify to get the variable x.
84x = 1092-7x
84x + 7x = 1092
91x = 1092
x = 12
To get AC, substitute.
AC = 156 - x
AC = 156 - 12
AC = 144
the largest doll is 12 inches tall. The height of each of the other dolls is 7/10 the height of the next larger doll. Write an expression for the height of the smallest doll. What is the height of the smallest doll?
Answers
Final answer:
The height of the smallest doll in a sequence is 4.116 inches found using the formula based on geometric progression, with each smaller doll having a height of 7/10 the height of the next larger one, starting from the largest at 12 inches.
Explanation:
To find the height of the smallest doll, we use a geometric sequence formula height of smallest doll = height of largest doll × (7/10)^n, with 'n' being the number of dolls smaller than the largest one.
To solve for a specific number of dolls, we'd need the value of 'n'. However, without knowing the total number of dolls in the sequence, we use the given formula to understand the pattern of the dolls' heights.
For illustrative purposes, if there were 3 dolls smaller than the largest, the height of the smallest doll would be 12 × (7/10)^3 = 12 × 0.343 = 4.116 inches. The exact height for the smallest doll would vary based on the total number of dolls in the set.
given f(x)=x^2 +3 find h(x) h(x)=f(5x)-f(-2)
Answers
Answer:
h(x) = 25x^2 -4
Step-by-step explanation:
Fill in the given arguments and evaluate:
h(x) = f(5x) -f(-2)
= ((5x)^2 +3) - ((-2)^2 +3)
h(x) = 25x^2 -4
The surface area of a sphere is S(x) = 4πx2, where x is the length of the radius of the sphere. Restrict the domain to create a one-to-one function. Find and describe the inverse function
Answers
S(x)/(4π)=x²
get the square root of both sides:
x=√[S(x)/(4π)]
replace x by S⁻¹(x) and S(x) by x
this will give us the inverse as :
S⁻¹(x)=√[x/(4π)]
The above implies that the inverse is the square root of the radius divided by 4π
Answer:
The answer is [tex]s^(-1 )(x) = (1)/(2\sqrt(\pi ))\sqrt(x)[/tex] .
Step-by-step explanation:
The input of [tex]s^(-1 )[/tex] is the surface area of a sphere; the output is the length of the radius.
solve for x 19-24. find the measure of the angle indicated in bold for 25-28.
Answers
angle (21x+6) is equal angle 90°-----> by alternate exterior angles
so
21x+6=90--------> 21x=84----------> x=4°
the answer N 19) is 4 degrees
N 20)
angle 75 is equal angle 11x-2-----> by corresponding angles
so
11x-2=75-----> 11x=77--------> x=7°
the answer N 20) is x=7 degrees
N 21)
angle 60 is equal angle (8x-4)------> by alternate interior angles
so
8x-4=60-----> 8x=64--------> x=64/8-----> x=8°
the answer N 21) is x=8 degrees
N 22)
angle (x+139) is equal to angle 132-----> by alternate interior angles
so
x+139=132-------> x=132-139--------> x=-7 °
the answer N 22) is x=-7 degrees
N 23)
angle (-1+14x) is equal to angle (12x+17)----> by alternate exterior angles
so
-1+14x=12x+17------> 14x-12x=17+1----> 2x=18----> x=9
the answer N 23) is x=9 degrees
N 24)
angle (23x-5) is equal to angle (21x+5)----> by corresponding angles
so
23x-5=21x+5-----> 23x-21x=5+5-----> 2x=10-----> x=5
the answer N 24) is x=5 degrees
N 25)
angle (x+96) and angle (x+96)-------> are supplementary angles
so
x+96+x+96=180--------->2x+192=180------> x=-6°
the angle indicated in bold is (-6+96)=90°
N 26)
angle (20x+5) and angle (24x-1)-------> are supplementary angles
so
20x+5+24x-1=180------> 44x=176-----> x=4°
the angle indicated in bold is (20*4+5)=85°
N 27)
angle (6x) is equal to angle (5x+10)--------> by corresponding angles
so
6x=5x+10------> 6x-5x=10------> x=10
the angle indicated in bold is (6*10)=60°
N 28)
angle (x+109) and angle (x+89) are supplementary angles
so
x+109+x+89=180----> 2x=-18-------> x=-9
the angle indicated in bold is (x+89)----> -9+89=80°
To solve for x in 19-24, x = -5. For the angle measurement in question for 25-28, more information is needed.
Explanation:To solve for x in 19-24, we subtract 24 from 19, which gives us x = -5.
Regarding the measurement of the angle indicated in bold for 25-28, the provided options (a, b, c) seem to be unrelated to this question. Could you please provide more information or clarify your query?
Consider a population of 300 with a mean of 60 and a standard deviation equal to 23 . what is the probability of obtaining a sample mean of 62 or less from a sample of 40 ?
Answers
Which of the following is a recurring fee?
A. Points
B. Appraisal
C. Taxes
D. Processing
Answers
Every year, Americans have to pay a fee that is called "Taxes." There are a few types of different taxes. For example, one of which is referred to as "Income Taxes." It essentially just groups out everyone's different incomes and takes away a percentage of it. All Taxes collected to straight to the government.
In conclusion, your answer is "C. Taxes."
Hope this helps!
- Sofie
Hey can you please help me posted picture of question
Answers
1) Vertical stretch by a factor of 2
So, G(x) will be changed to 2G(x)
2) Shift towards Right by 2 units
So, 2G(x) will be changed to 2G(x - 2)
3) Upward shift by 2 units.
So, 2G(x - 2) will be changed to 2G(x - 2) + 2
Thus,
F(x) = 2G(x - 2) + 2
F(x) = 2(x - 2)² + 2
Therefore, option C is the correct answer
Will give brainliest
The graph shows the function f(x).
Which value is closest to the average rate of change from x = 1 to x = 4?
A.−3.5
B.−2.3
C.−1.4
D.−0.3
Answers
Answer: B-2.3
Step-by-step explanation:
Just took the test heres the answer and proof
what is the median for the set of data shown? 26,34,38,49,65,75,81
Answers
Answer: 49
Step-by-step explanation:
We need to remember that the median of a set of data is the middle value in the set.
To find the median of a set of data the first step is to arrange the data in order from least to greatest, but, in this case, the set of data given is already arranged from least to greatest:
26,34,38,49,65,75,81
Therefore, you can oberve that the middle value in the set is the following:
26,34,38,49,65,75,81
Then, the median for this set of data is: 49
The answer is provided in the image attached.
What percentage of the rectangular sheets of cardboard will be wasted because it is not part of the box and will be discarded when the net is cut out?
PLEASE HELP
Dimension : 18 x 24 x 12 in
Answers
30% I believe because we still have those to rectangles on the side
Hope this helps :)
When the square sheet of cardboard is cut and folded to create a rectangular box with a lid, the maximum possible volume is achieved when x = 20 inches. All other values will result in a smaller volume for the box.
Here, we have,
1. Calculate the side lengths of the box and lid:
Box: 40 inches - 2x = 40 - 2x
Lid: 2x
2. Calculate the volume of the box with a lid when x = 20 inches:
Box Volume:
(40 - 2x) x (40 - 2x) x (40 - 2x) = (40 - 2*20) x (40 - 2*20) x (40 - 2*20) = (20) x (20) x (20)
= 8000 in^3
Lid Volume: 2x x 2x x 2x = 2*20 x 2*20 x 2*20
= 8000 in^3
Total Volume: 8000 in^3 + 8000 in^3 = 16000 in^3
3. Calculate the volume of the box with a lid when x = 20/3 inches:
Box Volume: (40 - 2x) x (40 - 2x) x (40 - 2x) = (40 - 2*20/3) x (40 - 2*20/3) x (40 - 2*20/3) = (33 1/3) x (33 1/3) x (33 1/3)
= 7157.7 in^3
Lid Volume: 2x x 2x x 2x = 2*20/3 x 2*20/3 x 2*20/3
= 1365.3 in^3
Total Volume: 7157.7 in^3 + 1365.3 in^3
= 8523 in^3
4. Comparison:
When x = 20 inches, the box has a minimum possible volume of 16000 in^3, while when x = 20/3 inches, the box has a volume of 8523 in^3. Therefore, the statement is true.
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Complete question:
The figure above represents a square sheet of cardboard with side length 40 inches. The sheet is cut and pieces are discarded. When the cardboard is folded, it becomes a rectangular box with a lid. The pattern for the rectangular box with a lid is shaded in the figure. Four squares with side length xx and two rectangular regions are discarded from the cardboard. Which of the following statements is true? (The volume V of a rectangular box is given by V=lwh).
A. When x = 20 inches, the box has a minimum possible volume.
B. When x = 20 inches, the box has a maximum possible volume.
C. When x = 20/3 inches, the box has a minimum possible volume.
D. When x = 20/3 inches, the box has a maximum possible volume.
Q # 20 solve the system by graphing. X + Y = 3 , Y = 2 x - 15
Answers
the answer is (6,-3)
304 students went on a field trip. seven buses were filled and 17 students traveled in cars. how many students were in each bus?
Answers
-
304: total students
17: riding in car
7: number of buses
-
304 - 17 = 287
287 divided by 7 = 41