The equation of the circle with center at (-2,4) and radius 5 is x² + y² + 4x - 8y - 5 = 0.
The equation of a circle with its center at (-2, 4) and a radius of 5 can be written in the standard form as:
(x - h)² + (y - k)² = r² Where (h, k) represents the coordinates of the center of the circle, and r represents the radius.
In this case, the coordinates of the center are (-2, 4) and the radius is 5. Plugging these values into the equation, we get:
(x - (-2))² + (y - 4)² = 5² Simplifying further:
(x + 2)² + (y - 4)² = 25
Therefore, the equation of the circle with a center at (-2, 4) and a radius of 5 is:
(x + 2)² + (y - 4)² = 25.
Alternatively, you can expand the equation to get: x² + 4x + 4 + y² - 8y + 16 = 25
Simplifying further:
x² + y² + 4x - 8y - 5 = 0
So, the equation of the circle can also be written as x² + y² + 4x - 8y - 5 = 0.
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2x+2y=4 and 3x+2y=7 please
Answer:
what is it you need to solve for, y? x?
Answer:
Step-by-step explanation:
(i)2x+2y=4
We take value of y=\(\frac{4-2x}{2}\)
2x+2(\(\frac{4-2x}{2}\))=4
2x + \(\frac{8-4x}{2}\)=4
\(\frac{4x+8-4x}{2}\) =4 (4x-4x=0)
\(\frac{8}{2}\)=4 -> 4=4=0
2x+2y=4 is 0
(ii)3x+2y=7
y=\(\frac{7-3x}{2}\)
3x+2(\(\frac{7-3x}{2}\))=7
\(\frac{6x+14-6x}{2}\)=7
\(\frac{14}{2}\)=7
7=7=0
1. what does the regular expression ^comp141\.\*zip$ mean? that is, can you write an english sentence to describe it?
It is well known that utilizing a zip file is an effective method for reducing the size of the document in order to boost storage and sharing possibilities. A zipped folder may be smoothly moved from one place (the transmitter) to another without any issues (the receiver).
What is Zip and how does it work?One or more files can be compressed and stored together in one location using the ubiquitous ZIP file format. As a result, the file size is less and is simpler to transport and store. After transmission, the receiver can use the files in their original form by unzipping (or extracting) her ZIP file.
In order to increase storage and sharing capabilities by lowering the size of the document, it is known that using a zip file is an efficient technique. A zipped folder may be effortlessly transferred without any hiccups from one location (the transmitter) to another (the receiver). Using Zip files has the primary benefit of reducing the time required to send large files over email. The document's quality is unaffected and is identical to the original file when it is compressed using a zip file.
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there are four elevators in a building. Each elevator makes three stops, which do not have to be on consecutive floors or include the ground floor. For any two floors, there is at least one elevator that stops on both floors. What is the maximum number of floors that this building can have
The maximum number of floors that this building can have is 6
How to determine the maximum number of floors?The given parameters are:
Elevators = 4
Stops = 3
At least one elevator stops on 2 floors
The maximum number of floors is calculated as:
Maximum = Elevators * Stops/2
This gives
Maximum = 4 * 3/2
Evaluate
Maximum = 6
Hence, the maximum number of floors that this building can have is 6
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what percent of 54 is 23? explained
Answer: 42.59
Step-by-step explanation:
Step 1: First, write the problem as an equation: P% = X/Y
Step 2: Here, X is 23, Y is 54, so the equation is P% = 23/54
Step 3: A percent is a ratio of a number expressed out of 100. So P% means P/100
Step 4: Substitute P/100 instead of P% in the above equation, then P% = 23/54 becomes P/100 = 23/54
Step 5: Solve for P
P/100 = 23/54
P = (23/54) * 100 = 42.59
Therefore, 23 is 42.59 percent of 54
Find the probability that a number selected at random from the numbers 1 to 25 is not a prime
number when each of the given numbers is equally likely to be selected.
#no irrelevant answer
Answer:
Favourable outcomes = {1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25}
Number of favourable outcomes=16
Number of total possible outcomes=25
p(not a prime) = (number of favourable outcomes) / number of total possible outcomes
=16/25
Required Sample space of the following event ( Non- prime numbers between 1 to 25 )
\(\dashrightarrow\) 1, 4, 6, 8,9 10,12, 14, 15, 16,18, 20, 21, 22, 24, 25
Number of Favourable Outcomes = 16
Total number of outcomes = 25
Now as we know
Probability of an event =
\(\star\;\boxed{\sf{\pink{\dfrac{ Favourable\; number\;of\; outcomes}{Total\; number\;of\; outcomes}}}}\)
Probability = 16/25
Hence, probability that the number is not a prime number is 16/25.
Factor the expression
Answer:
(x−1)(x+2)(x+2)
Step-by-step explanation:
x2(x−1)+4x(x−1)+4x−4
x3+3x2−4
=(x−1)(x+2)(x+2)
Answer:
( x - 1 ) ( x + 2 )²
Step-by-step explanation:
→ Factor out 4x - 4
4 ( x - 1 )
→ Rewrite
x² ( x - 1 ) + 4x ( x - 1 ) + 4 ( x - 1 )
→ Factor out x - 1
x - 1 ( x² + 4x + 4 )
→ Factor the quadratic inside
( x - 1 ) ( x + 2 )²
PRACTICE
a
1.
The graph of the polynomial function is shown. What is true about the function's degree and
leading coefficient?
a) The degree is odd and the leading coefficient is positive.
2
b) The degree is odd and the leading coefficient is negative.
c) The degree is even and the leading coefficient is positive.
d) The degree is even and the leading coefficient is negative.
Answer: The degree is odd and the leading coefficient is positive.
Step-by-step explanation: The reason why I say the degree is odd and the leading coefficient is positive is because the graph shows you that the arrow on the top of polynomial function graph is close to where the letter y which stands for yards is and the letter x is on the right side of the polynomial graph along with the numbers 1 and 2 close to the letters y and x.
Find the solution(s) of the system of equations:
y = x2 + 6x + 9
y = 2x + 6
Answer:
(-1,4) (-3,0)
picture below (im assuming you meant x^2.)
if you meant x2, please look at the second image
FIRST PHOTO = y=x^2 + 6x + 9 & y=2x+6
SECOND PHOTO = y=x2 + 6x + 9 & y=2x+6
Could you help me, pls? :c
Answer:
lolshdusudyudhdgfhfhd
Answer:
17
Step-by-step explanation:
if a=2 then
4(2)-2x is greater than or equal to 13(2)
8-2x is greater than or equal to 26
You now have to find the smallest number that will accurately fit this equation. In this case it is 17.
8-2(17) is greater than or equal to 26
8-34 is greater than or equal to 26
26 is greater than or equal to 26
Hope this helps :)
Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?
The floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be A. 2.3e^7.
What is scientific notation?It should be noted that scientific notation simply means. way that's used to express numbers that are either too large or too small to be written in decimal form.
Therefore, it should be noted that the floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be:
= 2.3 × 20^7
= 2.3 × e^7
= 2.3e7
The correct option is A.
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Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?
a. 2.3e^7
b. 2.3 × 10e^7
c. 2.3e × 10^7
d. 2.3 × e^7
Lots of points and brainliest!!!
A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario?
The pool is 1 meter deep.
The pool is 2 meters deep.
The toy falls at a rate of at least a Negative one-half meter per second.
The toy sinks at a rate of no more than a Negative one-half meter per second.
Answer:
The toy falls at a rate of at least a Negative one-half meter per second.
Step-by-step explanation:
Answer:
the awnser is a or the pool is 1 meter deep
Step-by-step explanation:
i am smart and i got it right when i did it
la pirámide tiene una base cuadrada, por tanto, tiene 4 caras laterales triangulares. hallar el área y el volumen sabiendo que tiene de base 8cm y de altura 13 cm
Answer:
i think i know th problem but i do not understand your language i sorry
Step-by-step explanation:
Perimeter of a Square What is the maximum perimeter of a square that can fit inside a circle of radius 5 cm?
A. 20
B. 20 â2
C. 10/ â12
D. 40
E. 20/ â12
The answer to this question is none of the given options (A, B, C, D, or E).To find the maximum perimeter of a square that can fit inside a circle of radius 5 cm, we need to consider that the diameter of the circle is equal to the diagonal of the square.
This means that the side of the square will be equal to the radius of the circle multiplied by the square root of 2 (since the diagonal of a square is the side length times the square root of 2).
So, the side length of the square will be 5 cm x √2 = 7.07 cm. And since a square has four sides of equal length, the perimeter of the square will be 4 x 7.07 cm = 28.28 cm.
However, this perimeter is greater than the circumference of the circle with radius 5 cm, which is 2 x π x 5 cm = 31.42 cm. This means that the square cannot fit entirely inside the circle.
Therefore, the answer to this question is none of the given options (A, B, C, D, or E).
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A candy store sells walnuts for $9 per pound, and pecans for $3 per pound. If the store wants to create a bag of mixed nuts that sells for $6 per pound, how many pounds of pecans must be mixed with four-pound of walnuts?
Please help fast, this is urgent xx.
Answer:
2 lbs
Step-by-step explanation:
it's kind of just a guess, the question is not that clear.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the interquartile range of the data set that consists of 10, 10, 8, 4, 5, 7, 7, 4, 3, 10.
A. 4
B. 10
C. 7
D. 6
Answer:
I think 10 is the correct answer.
Simplify;4t-2k+5k-t?
Help
Answer:
Answer is attached to steps.
Step-by-step explanation:
Those are the steps and the answer attached
Factor 10x2 − 17x + 3.
Answer:
(2x-3)(5x-1)Solution,
\(10 {x}^{2} - 17x + 3 \\ = 10 {x}^{2} - (15 + 2) x+ 3 \\ = 10 {x}^{2} - 15x - 2x + 3 \\ = 5x(2x - 3) - 1(2x - 3) \\ = (2x - 3)(5x - 1)\)
Hope this helps..
Good luck on your assignment...
What is mzMNT?
m/MNT=
Answer:
Step-by-step explanation:
mZMNT = :Given the 35 degree in 25 degree angle, we can complete this triangle on the far right by subtracting from 181 80 -35 -25. It means this one has to be 120°. And then our ultimate goal is to find the measure of angle m n. T, Which is this one here. And if we've got isosceles triangle in the center here, these exterior angles are going to be congruent, so this must be 120° as well.
For the function f(x) = –x^2+x– 7find f(1)
Given:
\(f\mleft(x\mright)=-x^2+x-7\)To find f(1):
Put x=1, we get
\(\begin{gathered} f(1)=-(1)^2+1-7 \\ =-1+1-7 \\ =-7 \end{gathered}\)Hence, the value of f(1) is -7.
use the product, quotient, and power rules of logarithms to rewrite the equation as a single logarithm.
We are given the following expression:
\(\log a-3\log b+4\log c\)we are asked to simplify this expression. To do that we will first use the following property:
\(a\log b=\log ^{}b^a\)we will apply this to the second and third terms, like this:
\(\log a-\log b^3+\log c^4\)Now we will use the following property:
\(\log a-\log b=\log (\frac{a}{b})\)we will use this property for the first and second terms:
\(\log (\frac{a}{b^3})+\log c^4\)Now we will use the following property:
\(\log a+\log b=\log ab\)We will use the property in the last two terms, like this:
\(\log (\frac{ac^4}{b^3})\)And thus, we have simplified the logarithmic expression into one single logarithm
20 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER
Answer:
-5.7
Step-by-step explanation:
Answer:
-5.4 LOL
Step-by-step explanation:
Select the reason that best supports Statement 6 in the given proof.
A. Transitive Property
B. Substitution
C. Addition Property of Equality
D. Subtraction Property of Equality
Answer:
Step-by-step explanation:
The average height of the five players on the basketball team was 77 inches. One of the players was 71 inches tall. Another was 74 inches tall, and two were each 78 inches tall. How tall was the tallest player on the team?
How to solve this question
Answer:
The tallest player on the team was 78 inches tall
Step-by-step explanation:
give you 15 pints if you help
Answer:
erm
Step-by-step explanation:
0.2
1/4
40%
0.5
3/4
A company's total cost, in millions of dollars, is given by C(t) = 140 - 30et where t = time in years. Find the marginal cost when t = 6. 0.35 million dollars per year O 0.16 million dollars per year 0.07 million dollars per year O 0.45 million dollars per year
We have to find the marginal cost of the function:
\(C(t)=140-30e^{-t}\)for the value t=6. We remember that the marginal cost is defined as the derivative of the function of total cost. So, for finding the value of marginal cost, we will find its function:
\(M(t)=C^{\prime}(t)=\frac{d}{\differentialDt t}(140-30e^{-t})\)Then, using the properties of differentiation,
\(\begin{gathered} \frac{d}{\differentialDt t}(140-30e^{-t}) \\ =\frac{d}{\differentialDt t}(140)-\frac{d}{\differentialDt t}(30e^{-t^{}}) \\ =0-30\frac{d}{\differentialDt t}(e^{-t}) \\ =-30\frac{d}{\differentialDt t}(e^{-t}) \end{gathered}\)And then, for finding the last derivative, we use the chain rule:
\(=-30(-1)e^{-t}=30e^{-t}\)This means that our marginal cost function is:
\(M(t)=30e^{-t}\)Finding the value when t=6
We just have to find the value M(6), by replacing t by 6, as shown:
\(M(6)=30e^{-6^{}}=\frac{30}{e^6}=0.0743625653\approx0.07\)This means that the marginal cost when t=6 is 0.07 million dollars per year.
Achley Company began the year with owner's equity of 5175000 . During the year, the company recoeded cevenues of $225,000, esgenses of $165,000, and had owner dowings of 550.000. What was Aaivey Comphny's owner's engiety at the end of the year?
At the end of the year, Achley Company's owner's equity is $4,685,000 and can be calculated by starting with the beginning owner's equity, adding the revenues, subtracting the expenses, and subtracting the owner's withdrawals.
To calculate Achley Company's owner's equity at the end of the year, we start with the beginning owner's equity of $5,175,000. We then add the revenues of $225,000 and subtract the expenses of $165,000. This gives us the net income, which is the difference between revenues and expenses, and represents the increase in owner's equity.
So, net income = revenues - expenses = $225,000 - $165,000 = $60,000. Next, we subtract the owner's withdrawals of $550,000 from the net income. Owner's withdrawals are personal expenses or cash withdrawals made by the owner and reduce the owner's equity.
Owner's equity at the end of the year = Beginning owner's equity + Net income - Owner's withdrawals.Owner's equity at the end of the year = $5,175,000 + $60,000 - $550,000. Calculating the above expression, we find that Achley Company's owner's equity at the end of the year is $4,685,000.
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hey please!! Thank you <33
Answer:
h÷2
Step-by-step explanation:
\(2\:gallons =1\:hour\\2 \: gallons = h \:hours\\2h = 2\\\frac{h}{2} = \frac{2}{2}\)
On Saturday, Casey earns $15 babysitting. On Sunday, she receives $68 for her birthday. Casey purchases a belt for $11.50, a sweater for $23.24, and a pair of jeans for $29.99. She deposits the remaining money into her savings account. If Casey had a balance of $37.23 in her savings account before making her deposit, how much money does she currently have in her savings account?
Answer:
55.50
Step-by-step explanation:
Which of these could be the side lengths of a right triangle? list all possible answers and show your work for full marks.
a) 4-7-10
b) 36-48-60
c) 6-10-14
d) 14-48-50
The sets of side lengths that could form a right triangle are 36-48-60 (option b) and 14-48-50 (option d).
To determine which of these sets of side lengths could form a right triangle, we will use the Pythagorean theorem (a² + b² = c²), where a and b are the shorter sides and c is the hypotenuse. Let's evaluate each option:
a) 4-7-10
Applying the Pythagorean theorem: 4² + 7² = 16 + 49 = 65, which is not equal to 10² (100). So, this set does not form a right triangle.
b) 36-48-60
Applying the Pythagorean theorem: 36² + 48² = 1296 + 2304 = 3600, which is equal to 60² (3600). So, this set does form a right triangle.
c) 6-10-14
Applying the Pythagorean theorem: 6² + 10² = 36 + 100 = 136, which is not equal to 14² (196). So, this set does not form a right triangle.
d) 14-48-50
Applying the Pythagorean theorem: 14² + 48² = 196 + 2304 = 2500, which is equal to 50² (2500). So, this set does form a right triangle.
In conclusion, the sets of side lengths that could form a right triangle are 36-48-60 (option b) and 14-48-50 (option d).
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Aisha has a smart phone data plan that costs $25 per month that includes 4 GB of
data, but will charge an extra $15 per GB over the included amount. How much
would Aisha have to pay in a month where she used 3 GB over the limit? How much
would Aisha have to pay in a month where she used went over by x GB?
Answer:
20 dollars
Step-by-step explanation: