Answer:
x² - 22x + y² - 6y + 121 = 0
Step-by-step explanation:
General Form of Equation
(x - h)² + (y - k)² = r²Solving
(x - 11)² + (y - 3)² = (3)²x² - 22x + 121 + y² - 6y + 9 = 9x² - 22x + y² - 6y + 121 = 0Answer:
(x+11)2+(y−3)2=81
mark me brainliest
Step-by-step explanation:
A principal of $2000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 14 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
Yearly compounding: 7.75% $5,686.85
Quarterly compounding: 7.978% $5,857.78
Monthly compounding: 8.031% $5,898.27
Daily compounding: 8.057% $5,918.20
Step-by-step explanation:
multiply yearly by 14
Solve for the value of x
Answer:
x = 7
Step-by-step explanation:
I've attached my work
- im yellow is what the name of the angle is
- in green is what to do with it
- In blue is me checking my work by plugging x back in
Please give me feedback on my repsomse by commenting,
any way i can improve showing my work?
Hope it helps, let me know if you have questions !
Have a nice rest of your day :)
What are the slope and y-intercept in the equation y = 7 + 5x + 2x + 4?
Answer: slope is 7 and y-intercept is 11
Step-by-step explanation:
y = 7 + 5x + 2x + 4
combine like terms
y = 11 + 7x
rearange
y = 7x + 11
slope is 7 and y-intercept is 11
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
What is the slope of the line y=7+5x+2x+4? What about the y-intercept?
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
First, we need to combine like terms:-
[tex]\Large\text{y=7+4+5x+2x}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\Large\text{y=11+7x}[/tex]
[tex]\bigstar[/tex] We can rearrange the terms a little:-
[tex]\Large\textit{y=7x+11}[/tex]
Now we can easily determine the slope and the y-intercept of the line.
Slope = number multiplied by x
y-intercept = a number added to or subtracted from x
Henceforth, we conclude that
[tex]\Large\text{Slope=7 \& y-intercept=11}[/tex]
Good luck with your studies.#TogetherWeGoFar
[tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]
PLEASE HELP!!!!!! IMA DESPRATE!!!!!!
Identify the correct graph for the given quadratic function.
f(x) = x2 − 1
The graph of y = x^2 - 1 has a vertex at (0,-1) and open upwards and it is represented by the graph 1
How to determine the graph of the function?The equation is given as:
y = x^2 - 1
Express as a vertex function
y = (x - 0)^2 - 1
The above means that the function has a vertex of (0,-1) and it opens upward
The graph that has a vertex at (0,-1) and open upwards is the graph 1
Hence, the graph of y = x^2 - 1 is (a)
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Work out 15% of £24 please
Answer:
£3.6
Step-by-step explanation:
24 = 100% ; x = 15%
Let's make it simple
[tex]\frac{x}{24 } = \frac{15}{100} ; x = 24.15/ 100 ; x=3.6[/tex]
When you half a whole number that ends in 6, you always get a number
ends in 3."
Answer:
This actually is false, it doesn't always work.
Step-by-step explanation:
Such as,
256 x 1/2 =
128.
The last digit isn't a 3, it's an 8.
Another Example,
176 x 1/2 =
88.
The last digit is also an 8 here, and not a 3.
It does work for some equations, but not for most of them, hope this helps!
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.11. You would like to be 96% confident that your esimate is within 5% of the true population proportion. How large of a sample size is required?
large of a sample size is required=165
what is z value in statistics?The Z-value is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation
Using the formula:
large of a sample size is required=(Z∝[tex]I_{2}[/tex]/E)²* P(1-P)
According to the given data
E= margin of error= 5%=0.05
96% confident that your estimate is within 5% of the true population proportion,
Therefore, level of significance
∝=1-0.96
=0.04.
Z value for the 96% confident is 2.05, therefore, Z∝I2=2.05
Therefore, large of a sample size is required=(2.05/0.05)²* (0.11)(1-0.11)
=1681*0.0979
=164.5699
=165
Hence, large of a sample size is required=165
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PLS HELP MEEE I NEED TO TURN THIS IN
Answer:
150 laptops because 70% of the total devices are laptop computers and desktop computers so the remaining 30% of the devices are tablet. 500×0.30= 150.
Find the value of x in the triangle.
Answer:
Step-by-step explanation:
x + x + 90 = 180
2x + 90 = 180
2x = 90
x = 45
Solve equation
-8n+7(8+3n)=-16+4n
Answer:
-8Step-by-step explanation:
Solve equation
-8n + 7 * (8 + 3n)= -16 + 4n
-8n + 56 + 21n = -16 + 4n
13n + 56 = -16 - 56
13n -4n = -16 - 56
9n = -72
n = -72 : 9
n = -8
Can Wendell make a triangular garden using pieces D, E, and F? Why or why not?
If the sides of the triangle are given. Then Wendell can make a triangular garden using pieces D, E, and F.
What is the construction of the triangle?The process of making a triangle is known as the construction of the triangle.
Wendell makes a triangular garden using pieces D, E, and F.
Where D, E, and F may be a side of the triangle or angle of the triangle.
To make a triangle we need at least one side of the triangle.
If all the angles of the triangle is given then we can not make a triangle because the side of the triangle is unknown.
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Answer:
If the sides of the triangle are given. Then Wendell can make a triangular garden using pieces D, E, and F.
Step-by-step explanation:
I need help, pleasee
Answer:
Option B (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.) is the solution.
Step-by-step explanation:
Let's have a look at the image they've provided. (The identical picture is shown below. )
[tex]\left[\begin{array}{cc}2&8\\4&?\\5&20\end{array}\right][/tex]
Do you see a pattern here? Concentrate on the second row rather than the first. Both integers are multiplied by four, therefore 4 x 4 must be multiplied.
[tex]2 *4= 8\\5*4 = 20[/tex]
This indicates that option B is the right response. (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.)
Hope this helps! :D
Sample :
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Volume with fractions is confusing.
Answer:
V≈0.064
Tip:
just to help you for future note with finding volume with fractions is you use a calculator and do the top divided by the bottom and it should give you a decimal
m
Enter the number that belongs in
the green box
Answer:
m<C = 180 - (90+32)
= 180 - 122
= 58°
The sum of the measures of five exterior angles of a hexagon is 284. What’s the measure of the sixth angle?
Answer:
76°The sum of the measures of five exterior angles of a hexagon is 284. What’s the measure of the sixth angle?
Step-by-step explanation:
the sum of all exterior angles in any polygon is 360°.So
360° - 284 = 76°
A summer camp rewards campers and counselors with badges. The camp orders 200 badges. They plan to give 25 badges to counselors. They ordreed at least 3 badges for each camper.
a. How many campers could be at the camp?
b. Are all the values on the graph of c is less than or equal to 58 possible solutions? Explain.
correct answer gets a brainless
Answer:
58 campers,
Step-by-step explanation:
you do 200 - 25 then 175 divided by 3
Find the number...
3/8 of it is 24
Determine the solution set for x.
X + 300 < 450
The solution set for the inequality X + 300 < 450 is X∈ (-∞, 150) when X is less than 150.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have inequality:
X + 300 < 450
X < 450 - 300 (subtract 300 on both sides)
X < 150
X ∈ (-∞, 150)
Thus, the solution set for the inequality X + 300 < 450 is X∈ (-∞, 150) when X is less than 150.
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I have been stuck on this question for ever and cant seem to figure it out so if it isnt a big deal for one of you can ya please help.
Answer:
[tex]d = 24mm[/tex]
Step-by-step explanation:
[tex]c = \pi d[/tex][tex]c = 75.36mm \\ 75.36mm = \pi d \\ d = \frac{75.36}{\pi} \\ d = 24mm[/tex]QUADRATIC FORMULA
11. The current World Record for the Track event Shot Put is 23.37 meters - meaning the Shot landed
23.37 meters from where it was launched (DO NOT USE THIS VALUE FOR THE EQUATION).
The path of the Shot thrown by an athlete during a track meet can be modeled by the Quadratic Equation
h(t) = -0.09c2 + 2t + 1.67 where he represents its height in meters and m represents the horizontal
distance in meters. How far did the Shot land from where it was thrown? Substitute 0 for h in your Equation
in order to find the horizontal distance from where this Shot was lauchedlaunched.
Answer:
23.028 meters
Step-by-step explanation:
We presume your quadratic equation is intended to be ...
h(m) = -0.09m² +2m +1.67
where h(m) is the height in meters, and m is the horizontal distance in meters. You want to find the positive value of m when h = 0.
__
The quadratic formula tells you the solution to ...
ax² +bx +c = 0
In your equation, a = -0.09, b = 2, c = 1.67, and the variable is m. The solutions given by the formula are ...
[tex]m=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-2\pm\sqrt{2^2-4(-0.09)(1.67)}}{2(-0.09)}\\\\=\dfrac{2\pm\sqrt{4+0.6012}}{0.18}\approx\{-0.806,23.028\}[/tex]
The shot landed about 23.028 meters from where it was thrown.
_____
Additional comment
The shot was launched at an angle of about 63.4° from the horizontal. Had a shallower angle been used with the same launch speed (about 16.5 m/s), the shot would have traveled farther. At about 45°, the distance might have been in excess of 29 meters.
The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $10 each and will sell 600 tickets. There is one $1,000 grand prize, two $400 second prizes, and ten $20 third prizes. You just bought a ticket. Find the expected value for your profit
The expected value of the profit is $-1 when the student council is hosting a drawing to raise money for scholarships
What is probaility?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event
The expected value of any discrete variable X is calculate as:
E(X)=X1*P(X1)+X2*P(X3)+...+X3*P(X3)
Where X1, X2, ..., X3 are the values that the variable can take and P(X1), P(X2), ..., P(X3) are their probabilities.
In this case the variable X is the dollars that can win, so:
X1=$2,000
X2=$300
x3=$20
X4=$0
Then the probabilities can be calculate as:
[tex]P(X_1)=\dfrac{1}{600}\\\\\\P(X_2}=\dfrac{3}{600}\\\\\\P(X_3)=\dfrac{15}{600}\\\\\\P(X_4)=\dfrac{581}{600}[/tex]
Replacing the variables and probabilities on the equation of expected value we get:
[tex]E(X)=(2000\times \dfrac{1}{600})+(300\times \dfrac{3}{600})+(20\times \dfrac{15}{600})+(0\times \dfrac{581}{600})[/tex]
E(X)=$4
Additionally, the student bought a ticket by $5, so the expected profit can be calculate as:
Expected Profit = Expected Earnings - Cost = $4 - $5 = $-1
Finally, the expected value of the profit is $-1
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If 15% of 200 apples are bad, how many apples are bad?
apples= 200
bad apples= 15%
to find:how many apples are bad.
solution:[tex] 200 \times \frac{15}{100} [/tex]
[tex] = 30[/tex]
therefore, there are 30 bad apples.
If w = 6 feet, x = 5 feet, y = 12 feet, and z = 8 feet, what is the area of the object?
A. 69 square feet
B. 60 square feet
C. 78 square feet
D. 39 square feet
PLSSS HELP!!!
Answer:
B. 60 square feet
Step-by-step explanation:
took a test and got it right
Answer:
A. 69 square feet
Step-by-step explanation:
add the area of the triangle on top to the
area of the rectangle below
y - w is the base of the triangle
12 - 6 = 6 is the base of the triangle
z - x = height of the triangle
8 - 5 = 3 = height of the triangle
6 times 3 divided by 2 = area of the triangle =
9
y times x is the area of the rectangle below
12 times 5 =
60 is the area of the rectangle below
add up both areas which =
69
Graph: f(x) = |x – 2| – 4
Step 1: Identify the translation. The parent absolute value function is translated 2 units. and 4 units
Step 2: The vertex of the parent is (0, 0). Plot the vertex of the translated function two units to the right and four units down from (0, 0).
Step 3: Evaluate the function at one more point to the left of the vertex.
f(1) =
Step 4: Use symmetry to find another point. Another point is
Step 5: Plot the points (1, -3) and (3, -3).
Step 6: The straight lines through these points show the graph of the function
__________________
Step 1: to the right; down
Step 3: -3
Step 4: (3,-3)
This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.
Graphing modulus function
Modulus of a function are positive value of a function. Given the modulus expression as shown
f(x) = |x – 2| – 4
This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.
The resulting graph of the function is as shown below;
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a football team won 65% of the total matches they played during the year. if they lost 21 matches in all and no matches were drawn, find the number of matches played during the year.
[tex]\large\bold{{Question :}}[/tex]
A football team won 65% of the total matches they played during the year. if they lost 21 matches in all and no matches were drawn, find the number of matches played during the year.
[tex]\large\bold\red{\underline{Solution:}}[/tex]
Here, let's assume no. of matches played be = x
Given,
[tex]\longmapsto{}[/tex](100-60)[tex] \%[/tex] of x = 24[tex]\longmapsto{}[/tex]40 [tex]\% [/tex]of x = 24[tex]\longmapsto{}[/tex][tex]\frac{2x}{5}[/tex] = 24[tex]\longmapsto{}[/tex]x = [tex]\frac{24 \times 5 }{2}[/tex][tex]\longmapsto{}[/tex]x = 60
Hence, the number of matches played during the whole year is [tex]\large\bold\red{\underline{60}}[/tex].
Happy Learning : )Evaluate the following equations
Step-by-step explanation:
A....
Solution ,
[tex] = \frac{h - 3}{3} = 3h \\ [/tex]
[tex] = h - 3 = 9h[/tex]
[tex] = h - 3 - 9h = 0[/tex]
[tex] = h - 9h = 3[/tex]
[tex] = - 8h = 3[/tex]
Change the sign of both side
[tex] = 8h = - 3[/tex]
[tex] = h = - \frac{3}{8 } \\ [/tex]
B....
Solution,
[tex] = \frac{t}{2} = \frac{t + 1}{5} \\ [/tex]
Multiply the both side by the least common multiple to eliminate the fraction...
[tex] = 5t = 2t + 2[/tex]
[tex] = 5t - 2t = 2[/tex]
[tex] = 3t = 2[/tex]
[tex] = t = \frac{2}{3} \\ [/tex]
What value of x makes the equation 5 = ºx + 3 true?
Vx ?
3
=
Answer:
122
Step-by-step explanation:
To solve for x, undo the operations done to it.
__
5 = ∛(x +3) . . . . . given
125 = x +3 . . . . . cube both sides of the equation
122 = x . . . . . . . . subtract 3
look at this diagram A: what fraction is shaded B:What Percentage Is Shaded 6/9 is shaded
its a triangle:)
Answer:
Fraction is 6 over 9 percentage is 0.54%
Hope This Helped
Please solve with explanation (high points)
Answer:
∠ACB = 24.35°
Step-by-step explanation:
∠ACB basically means ∠C
tangent = opposite / adjacent
tanx = 5.62 / (3.54 + 3.86 + 5.02)
you are adding all these to get the total of the base length
tanx = 5.62 / 12.42
x = arctan(5.62 / 12.42)
x = 24.34654°
The order of rotation for a regular hexagon is?
Answer:
6
Step-by-step explanation:
The rotational symmetry for a hexagon is 6 as it is a regular polygon.
