Decide whether or not the equation has a circle as its graph. If it does not describe the graph. x2 + y2 + 16x + 12y + 100 = 0 A. The graph is not a circle. The graph is the point (-8,-6). OB. The gra
Answers
The equation x^2 + y^2 + 16x + 12y + 100 = 0 does not represent a circle. The graph is a single point (-8, -6).
To determine if the given equation represents a circle, we can analyze its form and coefficients. A circle's equation should be in the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the center of the circle and r represents the radius.
In the given equation x^2 + y^2 + 16x + 12y + 100 = 0, the quadratic terms x^2 and y^2 have coefficients of 1, indicating that the equation has a standard form. However, the linear terms 16x and 12y have coefficients different from zero, suggesting that the center of the circle is not at the origin (0, 0).
By completing the square for both x and y terms, we can rewrite the equation as (x + 8)^2 + (y + 6)^2 - 36 = 0. However, this equation does not match the form of a circle, as there is a constant term (-36) instead of the square of a radius.
Therefore, the equation does not represent a circle but a single point (-8, -6) when simplified further.
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Complete the question
Related Questions
The table below shows how long it took Tamara to swim different distances.
Time
(in minutes) (x)
0.5
1.25
2.0
2.0
2.5
Distance
(in meters) (y)
50
100
200
225
300
A. List the domain and range values.
B. Is the relation a function? Explain. Use the table to support your argument.
Answers
The domain and the range are {0.5, 1.25, 2.0, 2.5} and {50, 100, 200, 225, 300}
The relation is not a function
How to determine the domain and the range?From the question, we have the following parameters that can be used in our computation:
Time (in minutes) (x) 0.5 1.25 2.0 2.0 2.5
Distance (in meters) (y) 50 100 200 225 300
The domain is the list of the x values (without repetition)
So, we have
Domain = {0.5, 1.25, 2.0, 2.5}
The range is the list of the y values (without repetition)
So, we have
Range = {50, 100, 200, 225, 300}
Is the relation a function?For a relation to be a function, the x values must not be repeated for different y values
From the table, we have: (2.0, 200) and (2.0, 225)
The x value 2.0 is repeated for y values 200 and 225
Hence, the relation is not a function
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Dave, Ella and Franz share their electricity bills in the ratio 3:4:5. How much does each of them pay when their electricity bill is: a.$168 b.192 c.234?
Answers
Dave pays $84 for a $168 bill, $96 for a $192 bill, and $117 for a $234 bill. Ella pays $112 for a $168 bill, $128 for a $192 bill, and $156 for a $234 bill. Franz pays $140 for a $168 bill, $160 for a $192 bill, and $195 for a $234 bill.
Let's call the amount that Dave pays "3x", the amount that Ella pays "4x", and the amount that Franz pays "5x".
We know that the total ratio is \(3+4+5=12\). This means that the total amount paid for the electricity bill is. \(3x+4y+5z=12x\).
a. For $168 bill:
Dave pays 3x = 3*(672/total bill amount) = $84
Ella pays 4x = 4*(672/total bill amount) = $112
Franz pays 5x = 5*(672/total bill amount) = $140
b. For $192 bill:
Dave pays 3x = 3*(672/total bill amount) = $96
Ella pays 4x = 4*(672/total bill amount) = $128
Franz pays 5x = 5*(672/total bill amount) = $160
c. For $234 bill:
Dave pays 3x = 3*(672/total bill amount) = $117
Ella pays 4x = 4*(672/total bill amount) = $156
Franz pays 5x = 5*(672/total bill amount) = $195
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True or false;
The x-intercept of a function ALWAYS occurs where y is equal to zero.
True
False
Answers
Have a great day!
The x-intercept of a function always occurs where y is equal to zero is true.
Given,
The x-intercept of a function always occurs where y is equal to zero.
We need to find whether the given statement is True or False.
What is x-intecept and y-interept?The x-intercept is the point where the line passes through the x-axis.
We need to put y = 0.
The y-intercept is the point where the line passes through the y-axis.
We need to keep x = 0.
Check the statement.
The x-intercept of a function always occurs where y is equal to zero.
This is a true statement because in order to find the x-intercept we need always keep y = 0.
Thus the given statement-
The x-intercept of a function always occurs where y is equal to zero is true.
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I NEED THIS DONE FAST ITS DUE TODAY!!
(2x2y3)(4x y−2)
A. 6x3y
B. 8x3y
C. 6x2y−6
D. 8x2y−6
Answers
Answer and Step-by-step explanation: Click on link/file on the bottom. You might need to simplify it. Sorry if it doesn't work, but I tried my best. :)
how do I find the angles of a triangle when given all the lengths and no angle?
Answers
To evaluate 8^2/3 find
Answers
To evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.
What are exponents?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
Depending on the powers they possess, many rules of exponents are given.
Law of Multiplication: Exponents should be added while keeping the base constant when multiplying like bases.
Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.
Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.
The given value can be written as:
\(8^{\frac{2}{3} } = \sqrt[3]{8^{2} }\)
Hence, to evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.
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Work out the value of angle x.
Х
62°
Answers
Answer:
62 grados x
Step-by-step explanation:
Answer:
because the first side equal for the second side this means that this triangle is isosceles
so 62+62=124
sum of the angles of any triangle =180
180°-124=56degree
If in a population the rate of mutation that converts the A allele to the a allele is 10^-6 and the current frequency of the A allele is 0.75 and the a allele is 0.25, then the frequency of the A and a alleles in the next generation will be
Multiple Choice
O A: 0.74 a: 0.26
O A: 0.75000075 a: 0.24999925
O A: 0.75 a: 0.25
O A: 0.74999925 a: 0.25000075
Answers
The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m
where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925
And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075
Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.
This is option D.
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or Questions 1-20, let vectors u = (2,1,–3), v = (5,4,2) and w=(-4,1,6) be given. Find each of the following. If the answer does not exist, explain why. 9. 2u + 3y – w. – 10. |u| 11. The angle in degrees between u and w. 12. A vector parallel to v, but of length 2.
Answers
To find 2u + 3v - w, we can perform vector addition and scalar multiplication:
2u + 3v - w = 2(2, 1, -3) + 3(5, 4, 2) - (-4, 1, 6)
= (23, 13, -6).
Therefore, 2u + 3v - w = (23, 13, -6).
To find |u|, we need to compute the magnitude (length) of vector u:
|u| = √(2^2 + 1^2 + (-3)^2)
= √(4 + 1 + 9)
= √14.
Therefore, |u| = √14.
To find the angle between u and w, we can use the dot product formula and the magnitude of vectors:
cosθ = (u ⋅ w) / (|u| |w|)
= ((2, 1, -3) ⋅ (-4, 1, 6)) / (√14 √(-4^2 + 1^2 + 6^2))
= (-8 + 1 - 18) / (√14 √53)
= -25 / (√14 √53).
The angle θ between u and w can be found using the inverse cosine function:
θ = arccos(-25 / (√14 √53)).
To find a vector parallel to v with length 2, we can normalize v to obtain a unit vector and then multiply it by 2:
v_unit = v / |v| = (5, 4, 2) / √(5^2 + 4^2 + 2^2)
= (5, 4, 2) / √45.
A vector parallel to v, but of length 2, is then:
2v_unit = 2 * (5, 4, 2) / √45
= (10/√45, 8/√45, 4/√45).
Therefore, a vector parallel to v, but of length 2, is (10/√45, 8/√45, 4/√45).
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4(2v-6)-12v
Topic Name
Using distribution and combining like terms to simplify: Univariate
Answers
Answer:
-24+4v
Step-by-step explanation:
8v-24-12v
-24+4v
5. What's the critical value of t necessary to construct a 90% confidence interval for the difference between the means of two distinct populations of sizes 7 and 8. (Assume that the conditions necessary to justify pooling variances have been met.)
a. 1.943
b. 1.771
c. 1.895
d. 1.753
e. 1.761
Answers
To determine the critical value of t for constructing a 90% confidence interval for the difference between the means of two populations, we need to consider the degrees of freedom and the desired confidence level.
In this case, we have two distinct populations with sizes 7 and 8, which gives us (7-1) + (8-1) = 13 degrees of freedom.
Looking up the critical value of t for a 90% confidence level and 13 degrees of freedom in a t-table or using statistical software, we find that the critical value is approximately 1.771.
Therefore, the correct answer is option b) 1.771.
The critical value of t is necessary to account for the uncertainty in the estimate of the difference between the population means. By selecting the appropriate critical value, we can construct a confidence interval that is likely to contain the true difference between the means with a specified confidence level. In this case, a 90% confidence interval is desired.
The critical value is determined based on the desired confidence level and the degrees of freedom, which depend on the sample sizes of the two populations. Since we have populations of sizes 7 and 8, the total degrees of freedom is 13. By looking up the critical value of t for a 90% confidence level and 13 degrees of freedom, we find that it is approximately 1.771. This value indicates the number of standard errors away from the sample mean difference that corresponds to the desired confidence level.
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PLEASE HURRY!
Choose all the points that are located on quadrant lV.
Choices:
(-3,-1/4). (6,-9). (-5,3). (2,-4). (-11,5). (7,1/4)
Sorry about the picture it’s not very clear:/
Answers
I NEED AN ANSWER ASAP PLEASE
Answers
Step-by-step explanation:
the correct answer is option a 6a-7
Please Answer and Explain Thanks
The equation y+4x=100 represents your distance y (in meters) from the
finish line x seconds after you begin your leg of a relay race. The equation
y+3.8x=96 represents your opponent’s distance from the finish line.
How far do you need to run until you catch up to your opponent?
Answers
public class BinarySearch \{ public static void main(Stringll args) f int [1]yl ist ={1,2,3,7,10,12,20}; int result = binarysearch ( inylist, 20); if (result =−1 ) System, out, println("Not found:"); else System.out.println("The index of the input key is " + result+ ". "): y public static int binarysearch(int]l List, int key) \{ int low =0; int high = iist. length −1 while (high >= low) \& int mid =( low + high )/2; if (key < List [mid] high = mid −1; else if (key =1 ist [ mid ] ) return inid; else low = mid +1; return −1; // Not found \} l TASK 4: Binary Search in descending order We have learned and practiced the implementation of the binary search approach that works on an array in ascending order. Now let's think about how to modify the above code to make it work on an array in descending order. Name your new binary search method as "binarysearch2". Implement your own code in Eclipse, and ensure it runs without errors. Submit your source code file (.java file) and your console output screenshot. Hint: In the ascending order case, our logic is as follows: int mid =( low + high )/2 if ( key < list [mid] ) else if (key = ist [mid]) return mid; In the descending order case; what should our logic be like? (Swap two lines in the above code.)
Answers
The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.
The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.
To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.
The modified code for binary search in descending order would look like this:
public static int binarysearch2(int[] list, int key) {
int low = 0;
int high = list.length - 1;
while (high >= low) {
int mid = (low + high) / 2;
if (key > list[mid])
high = mid - 1;
else if (key < list[mid])
low = mid + 1;
else
return mid;
}
return -1; // Not found
}
By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.
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at which week will keith and greg have downloaded the same number of songs?
Answers
Answer:
Week 15
Step-by-step explanation:
Find the equations to the sequences and solve as equation
5n+20 = 2n+50
5n= 2n +30
3n=30
n=15
Write the point-slope form of the equation of the line through the given point with the given slope.
through: (-5, -3), slope =4/9
Answers
Answer:
-3 - 1 = 4/9(-5 - 4)
Step-by-step Explanation:
Point-Slope form uses the formula y-y1=m(x-x1).
m is the slope, which they gave you, so you can substitute it into the formula:
y - y1 = 4/9(x - x1).
They also gave you a first point (-5, -3) So you can substitute the x and y of those into the formula as well.
-3 - y1 = 4/9(-5 - x1)
y1 and x1 are for another point. By drawing a graph and then using the rise and run of the slope (up 4 and over 9), you can get another point (as shown in the picture).
Substitute the x and y values of that point into the equation as well and you have your answer:
-3 - 1 = 4/9(-5 - 4)
PLEASE HELP AND SHOW WORK
Answers
Answer:
n ≥ -4 or n < -1
Step-by-step explanation:
Flip the sign with the -4 n thing and that's it for that side of the or. Then you subtract the 1 from -2. So, then you are left with 3n< -3 then you divide both sides by 3 and get n < -1.
Answer:
that's hard
Step-by-step explanation:
I can't answer
nth term of 1,2,4,8,16,32,64,...
Answers
Answer:
2^(n-1)
Step-by-step explanation:
To find the nth term of the sequence 1, 2, 4, 8, 16, 32, 64,..., we can observe that each term is obtained by multiplying the previous term by 2. Therefore, the pattern can be described by the formula:
nth term = 2^(n-1)
In this formula, n represents the position of the term in the sequence.
For example: I
If we want to find the 5th term, we substitute n = 5 into the formula:
5th term = 2^(5-1) = 2^4 = 16
So, the 5th term of the sequence is 16.
what is 26 divided by 9 as an improper fraction
Answers
Answer:
26/9
Step-by-step explanation:
26/9 is correct because it cannot be simplified so it is left as 26/9
What is the
Round off 7352 679
Answers
Answer:
7400 00
Step-by-step explanation:
7352 679
round it
because 2828292 because i was like oh no it’s okay baby wywuwy oh no i no one else did you go to sleep i
Please help meeeeeeeeeee
Answers
A is true
( 16/25 = 64% )
B is false
( 15/25 = 60% )
C is false
( 3/25 = 12% )
D is true
( 9/16 = 56.25 --> 56% )
What is the volume of a cylinder that has the following measurements?
area of each base: 50.24 ft2
area of lateral surface: 75.36 ft2
height of cylinder: 3 ft
128.6 ft 3
226.08 ft 3
150.72 ft 3
175.84 ft 3
bad answers will get banned good answers will get brainlist please
Answers
Volume of a cylinder = area of base x height:
50.24 x 3 = 150.72 ft^3
Answer:
150 ft³
Step-by-step explanation:
base = circle..................base area = area of the circle = πr².
to get the radius of the circle, we substitute from the formula.
let π be 3.142
3.142 × r² = 50.24.............................. 3.142r² = 50.24
divide both sides by 3.142 to get r² = 15.99....................find the square root of 15.99 to get r = 3.999.
VOLUME = πr²h
= 3.142 × 3.999 ×3.999 × 3 = 150.72 ft³
This is another way of doing it.
Carlos and his friends are going to out to bowl, eat dinner, and see a movie. The starts at 8:10 p.M. And they want to arrive 20 minutes before it starts. They will bowl for one hour and dinner will take 1 hour and 15 minutes. Travel time is 20 minutes to the bowling alley, 45 minutes ta the restaurant, and ten minutes to the theater. At what time should they plan to leave Carlo's house?
Answers
Answer:
They should leave Carlo's house by 4:20 PM
Step-by-step explanation:
The movie starts at 8:10 pm, they want to arrive 20 minutes before the movie starts
20 minutes before 8:10 pm = 7:50 pm.
Hence, they should arrive by 7:50 pm
Duration of their activities before the movie is calculated as:
They will bowl for one hour and dinner will take 1 hour and 15 minutes. Travel time is 20 minutes to the bowling alley, 45 minutes ta the restaurant, and ten minutes to the theater.
: 1 hour + 1 hour 15 minutes + 20 minutes + 45 minutes + 10 minutes
= 2 hour 15 minutes + 75 minutes
= 2 hour 15 minutes +1 hour 15 minutes
= 3 hours 30 minutes in total.
The time they are meant to leave is calculated as:
7:50 pm - 3 hours 30 minutes
= 4:20pm
HELP ASAP 40 POINTS
What is the equation for the nth term of the sequence
And what is the 52nd term of the sequence. -8,-12,-16
Answers
Given:
The sequence is -8, -12, -16.
To find:
The nth and 52th term of the given sequence.
Solution:
We have,
-8, -12, -16
It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is
\(r=a_2-a_1\)
\(r=-12-(-8)\)
\(r=-12+8\)
\(r=-4\)
The nth term of an AP is
\(a_n=a+(n-1)d\)
Where, a is first term and d is common difference.
Putting a=-8 and d=-4, we get
\(a_n=-8+(n-1)(-4)\)
\(a_n=-8-4n+4\)
\(a_n=-4-4n\)
Putting n=52, we get
\(a_{52}=-4-4(52)\)
\(a_{52}=-4-208\)
\(a_{52}=-212\)
Therefore, the equation for the nth term of the given sequence is \(a_n=-4-4n\) and the 52nd term of the sequence is -212.
a softball league has thirteen teams. how many different end-of-the-season rankings of first, second, and third place are possible (disregarding ties)?
Answers
There are 13 teams in the softball league, so there are 13 options for the first-place team. Once the first-place team is determined, there are 12 remaining teams for the second-place spot. Finally, there are 11 remaining teams for the third-place spot. Therefore, the number of different end-of-the-season rankings of first, second, and third place is possible is:
13 x 12 x 11 = 1,716
So there are 1,716 possible rankings.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
9/16......................................
For decimal form it would be 0.5625 but for fraction it would be 9/16.
What is 3/5 of 40? If you can, please include examples... Tysm
Answers
Answer:
24
Step-by-step explanation:
Which equation gives the rule for this table?
Answers
Answer:
C. y = x + 2
Step-by-step explanation:
2 is being added onto both sides
What is the equation of a circle with center (-3, -5) and radius 4?
O A. (x+3)2 + (y + 5)² = 16
O B. (x-3)2 + (y- 5)² = 4
O C. (x+3)2 + (y + 5)² = 4
O D. (x-3)2+(vy- 5)² = 16
Answers
The equation of a circle with center (-3, -5) and radius 4 is (x+3)^2+(y+5)^2=16.
In the given equation we have to find the equation of circle with center and radius.
The given center is (-3, -5).
Radius = 4
The standard equation of a circle with center and radius.
(x−a)^2+(y−b)^2=r^2
where a and b represent a point of center and r represent a radius.
So a=-3, b=-5 and r=4.
Putting the value in the standard equation.
(x−(-3))^2+(y−(-5))^2=(4)^2
Simplifying
(x+3)^2+(y+5)^2=16
Hence, the equation of a circle with center (-3, -5) and radius 4 is (x+3)^2+(y+5)^2=16.
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