PLZ HELP ASAP GRAPH A CIRCLE FROM ITS STANDERED EQUATION
The graph of the circle with the equation (x - 3)² + (y + 3)² = 36, is a circle with center (3, -3) and radius of 6 units
Please find attached the graph of the circle (x - 3)² + (y + 3)² = 36, created with MS Excel
The details of the steps used to graph of the circle are as follows;
The standard form of the equation of a circle is; (x - h)² + (y - k)² = r², where the center of the circle is (h, k)
The equation of the circle in standard form is; (x - 3)² + (y + 3)² = 36
The comparison of the above equation with the form of the general equation of a circle in standard form indicates that the center of the circle is (3, -3)
The comparison of the radius of the circle with equation (x - 3)² + (y + 3)² = 36, with the general form of the equation of a circle in standard form indicates that the radius of the circle is; √(36) = 6
which of the following are geometric sequences?
A. 1,3,9,27,81
B. 10,5,2.5,1.25,0.625, 0.3125
C. 3,6,9,12,15,18
D. 5,10,20,40,80,160
Final answer:
Options A, B, and D are geometric sequences because they have a constant ratio between successive terms. Option A has a ratio of 3, option B has a ratio of 0.5, and option D has a ratio of 2. Option C is an arithmetic sequence and not geometric.
Explanation:
The question asks which of the listed sequences are geometric sequences. A geometric sequence is characterized by a constant ratio between successive terms. Let's analyze each option:
A. 1,3,9,27,81 - Each term is multiplied by 3 to get the next term, hence it is a geometric sequence with a common ratio of 3.
B. 10,5,2.5,1.25,0.625, 0.3125 - Each term is multiplied by 0.5 (or divided by 2) to get the next term, hence it is a geometric sequence with a common ratio of 0.5.
C. 3,6,9,12,15,18 - The difference between successive terms is constant (+3), making it an arithmetic sequence, not geometric.
D. 5,10,20,40,80,160 - Each term is multiplied by 2 to get the next term, hence it is a geometric sequence with a common ratio of 2.
Therefore, options A, B, and D are geometric sequences, while option C is not.
A pizza that was ordered for a party was already cut into 6 slices. If each serving of pizza was 1 3 of a slice, how many servings of pizza were available? A) 18 Eliminate B) 2 C) 1 18 D) 1 2
The average score on a standardized test is 750 points with a standard deviation of 50 points. What is the probability that a student scored more than 850 on the standardized test ?
Answer:
2%
Step-by-step explanation:
Pasha bought 3 pounds of onions for $2.67. which ratio is proportional to 3 pounds at $2.67?
Find the center, vertices, and foci of the ellipse with equationx^2/144+y^2/2525 = 1
hey can you please help me posted picture of question
What is the inverse function of f(x)=5x-3
The inverse function of f(x) = 5x - 3 is found by switching x and y to solve for x, resulting in the inverse function f⁻¹(x) = (x + 3) / 5. This process is part of understanding function transformations that change a function's graph.
Finding the Inverse Function
Find the inverse function of f(x) = 5x - 3. To find the inverse, we need to switch the roles of x and y. So we first write y = 5x - 3. We then solve this equation for x to get x as a function of y. Performing the steps:
Add 3 to both sides: y + 3 = 5x.
Divide both sides by 5: (y + 3) / 5 = x.
This new equation x = (y + 3) / 5 represents the inverse function. To use the proper notation, we replace y with f⁻¹(x) and x with y, giving us f⁻¹(x) = (x + 3) / 5.
Understanding Function Transformations
When considering transformations such as f(-x) or f(2x), these changes to the independent variable result in specific alterations to the graph of the function, such as reflections across the y-axis or horizontal shrinkage by half.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The area of a circle is 78.5 square centimeters, and a subtending arc on the circle has an arc length of 6. The estimated value of is 3.14. The measure of the angle subtended by the arc is
The measure of the subtended angle by the arc is approximately 1.20 radians or 68.75 degrees. This is determined using the formula θ = s/r to find the subtended angle.
Explanation:To find the subtended angle, we need to use the formula θ = s/r, where s is the arc length and r is the circle's radius. The area of the circle with radius r, is πr², and given that it is 78.5 cm², we first need to find the radius. By solving the area equation, we get r = √(78.5/π), or approximately 5.00 cm. Using the radius in the angle formula (θ = 6/5.00), we get θ to be approximately 1.20 radians. However, if the question is asking for the result in degrees, we need to convert the result from radians to degrees by using the conversion factor 180/π. Thus, θ = 1.20 * (180/π) which gives approximately 68.75 degrees.
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Calculate the circle's radius first from the given area. Then, find the circumference of the circle and compare the arc length to the circumference to obtain the subtended angle. Therefore, the subtended angle is approximately 68.79 degrees.
Explanation:The subject of this question falls under the domain of geometry in Mathematics, where we identify the measure of angle subtended by a certain arc. In order to achieve this, we must understand that a complete circle with a 360-degree angle covers an arc length equivalent to its circumference. If we know the radius of the circle, calculated from the area, we can compare the known arc length to the circumference of the circle to find the angle subtended.
First, we find the radius using the given circle area using the formula [tex]A=\pi r^2[/tex], which gives r= √(A/π). So r= √(78.5 cm² / 3.14) =approx. 5cm. Now, the full circumference of a circle (C) is 2πr, which gives [tex]C = 2*3.14*5 cm = 31.4 cm.[/tex] The full angle covered by the circumference is 360 degrees. To find the angle subtended by an arc of length 6cm, we calculate as follows: (6 cm / 31.4 cm) * 360 degrees = approx. 68.79 degrees.
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A taxi driver estimates that his earnings are $240 on a fine day and $320 on a wet day. What are his expected earnings on a day with probability of rain of 0.45?
-4 × 7 with an absolute value is?
"7 less than a number t" written as an algebraic expression is:
Answer: The expression for the given statement is [tex]t-7[/tex]
Step-by-step explanation:
We are given a statement:
7 less than a number t
Let the number be considered as 't'
'Less' in the above statement means subtraction operation.
The numerical value written before the 'less' operation is written after in the expression.
Thus, the expression for the given statement is [tex]t-7[/tex]
The algebraic expression for '7 less than a number t' is t - 7. This represents taking the number t and subtracting 7 from it.
Explanation:The question requires an algebraic expression. '7 less than a number t' translates to t - 7 in algebraic terms. The phrase 'less than' is a clear indication to subtract in math context. So, take the number t and subtract 7 from it, hence, t - 7 is our answer. This is a common way to express relative quantities and operations in algebra.
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Nikhil gets paid a 5 percent commission on every pair of shoes that he sells. He earned $1.00 on the last pair of shoes that he sold. The expression that can be used to represent x, the price of the shoes, is mc005-1.jpg What was the price of the shoes?
Answer:
$20.00 is the correct answer
Step-by-step explanation:
I promise this is correct
A triangle has side lengths 4, 7 and 9. What is the measure of the angle across from the longest side?
92 = 42 + 72 − 2g4g7cos(A)
81 = 16 + 49 − 56cos(A)
81 = 9cos(A)
9 = cos(A)
A cannot exist!
Gabe tried to use the law of cosines to find an unknown angle measure in a triangle. His work is shown. What is Gabe’s error?
Gabe reversed the order of the 9 and the 4.
Gabe squared the numbers incorrectly.
Gabe should not have subtracted 56 from
16 + 49.
Gabe incorrectly stated that cos–1(9) is not defined.
Answer:
Step-by-step explanation:
Given that a triangle has sides 4,7 and 9
A student Gabe tried to use law of cosines to find unknown angle measure
The angle is opposite side 9 because angle across the longest side is given
He used cosine formula for triangles
[tex]a^2=b^2+c^2-2bccosA\\9^2 = 4^2+7^2-2(4)(8) cosA\\81-65 =-56 cosA\\[/tex]
But instead he adjusted -56 with 16 +49 which is wrong
Because -56 has product as cosA it is not like term as other constants
So correct step should be
81 = 65-56 Cos A
Gabe should not have subtracted 56 from
16 + 49.
This is the correct answer
What is the highest decimal number that can be represented by two binary digits?
The answer is 3.
Bonus: Here is a fun challenge, try to decipher what Im saying here. (Use an online binary website.)
01001001 01100110 00100000 01111001 01101111 01110101 00100000 01100110 01101001 01101110 01100100 00100000 01101111 01110101 01110100 00100000 01110111 01101000 01100001 01110100 00100000 01110100 01101000 01101001 01110011 00100000 01110011 01100001 01111001 01110011 00101100 00100000 01001001 00100000 01110111 01101001 01101100 01101100 00100000 01100110 01101111 01101100 01101100 01101111 01110111 00100000 01111001 01101111 01110101 01110010 00100000 01100010 01110010 01100001 01101001 01101110 01101100 01111001 00100000 01100001 01100011 01100011 01101111 01110101 01101110 01110100 00100000 00111010 00101001
a gardener at Blair's Arboretum is making displays of roses with 192 red 120 yellow and 168 pink roses to choose from if she wants to use all of the flowers in the displays need to be identical what is the greatest number of displays she can create
Find the value of x for which m//n
A.
10
B.
12
C.
40
D.
52.
Answer:
The answer is D. 52
Step-by-step explanation:
edg 2020
Mary has three baking pans. Each pan is 8" × 8" × 3". Which expression will give her the total volume of the pans?
8^2 × 3
8 × 3^2
(8 × 2 × 3) × 3
(8^2 × 3) × 3
Answer:
D. (8^2 × 3) × 3
Step-by-step explanation:
its d on plato
hey can you please help me posted picture of question
Suppose we calculate a 95% confidence interval for the population mean to be (6.93, 11.45). how do we interpret this?
The [tex]95\%[/tex] confidence interval for the population mean is [tex]\left( {6.93,11.45}\right)[/tex] means that there are [tex]95\%[/tex] chances of the population mean lies in the interval.
Further Explanation:
Explanation:
The formula for confidence interval can be expressed as follows,
[tex]\boxed{{\text{Confidence interval}}=\left( {\overline X \pm ME} \right)}[/tex]
ME represents the Margin of Error.
The confidence interval has two limits.
(1). Upper Limit
(2). Lower Limit
The upper limit can be calculated as follows,
[tex]{\text{Upper limit}}=\left( {X + ME}\right)[/tex]
The lower limit can be calculated as follows,
[tex]{\text{Lower limit}} = \left( {X - ME}\right)[/tex]
The given confidence interval is [tex]\left( {6.93,11.45}\right).[/tex]
The upper limit of the confidence interval is 11.45.
The lower limit of the confidence interval is 6.93.
The 95\% confidence interval for the population mean is [tex]\left( {6.93,11.45}\right)[/tex] means that there are [tex]95\%[/tex] chances of the population mean lies in the interval.
Learn more:
1. Learn more about normal distribution https://brainly.com/question/12698949
2. Learn more about standard normal distribution https://brainly.com/question/13006989
3. Learn more about confidence interval of mean https://brainly.com/question/12986589
Answer details:
Grade: College
Subject: Statistics
Chapter: Confidence Interval
Keywords: Z-score, Z-value, confidence interval, confidence limit, 95 percent, standard normal distribution, standard deviation, test, measure, probability, low score, mean, repeating, indicated, normal distribution, percentile, percentage, undesirable behavior, proportion, empirical rule.
Which is the range for this set of data 38,17,55,40
Answer:
38
Step-by-step explanation:
Solve for r.
4r-9s=K
Final answer:
To solve for 'r' in the given equation, add 9s to both sides and then divide by 4, resulting in r = (9s + K) / 4.
Explanation:
To solve for r in the equation 4r - 9s = K, we need to isolate r on one side of the equation. Here's how we can do this:
Add 9s to both sides of the equation to get 4r = 9s + K.Divide both sides of the equation by 4 to solve for r, resulting in r = (9s + K) / 4.Now, we have r expressed in terms of s and K, which is the desired form.What is the area of the region between the graphs of y=x^2 and y=-x from x=0 to x=2?
The area between [tex]\( y = x^2 \)[/tex] and [tex]\( y = -x \) from \( x = 0 \) to \( x = 2 \) is \( \frac{14}{3} \)[/tex] square units, found by integrating [tex]\( x^2 + x \)[/tex] from 0 to 2.
Intersection Points: To find the area between [tex]\( y = x^2 \)[/tex] and [tex]\( y = -x \)[/tex] from [tex]\( x = 0 \) to \( x = 2 \)[/tex], first find their intersection points by setting [tex]\( x^2 = -x \)[/tex]. This gives [tex]\( x^2 + x = 0 \)[/tex], which factors to [tex]\( x(x + 1) = 0 \)[/tex], yielding [tex]\( x = 0 \)[/tex] and [tex]\( x = -1 \)[/tex] as the intersection points.
Limits of Integration: We are interested in the area between these curves from [tex]\( x = 0 \) to \( x = 2 \)[/tex]. Since[tex]\( x = -1 \)[/tex] lies outside this interval, we only consider [tex]\( x = 0 \)[/tex].
Integration: The area can be calculated by integrating the difference between the upper curve [tex]\( y = x^2 \)[/tex] and the lower curve [tex]\( y = -x \) from \( x = 0 \) to \( x = 2 \):[/tex]
[tex]\[ \text{Area} = \int_{0}^{2} (x^2 - (-x)) \, dx \][/tex]
Sure, here is the rewritten line:
[tex]\[ \text{The area can be found by integrating} \, x^2 + x \, \text{from} \, x = 0 \, \text{to} \, x = 2: \, \int_{0}^{2} (x^2 + x) \, dx \][/tex]
Integrating term by term:
[tex]\[ = \left[ \frac{x^3}{3} + \frac{x^2}{2} \right]_{0}^{2} \][/tex]
[tex]\[ = \left( \frac{2^3}{3} + \frac{2^2}{2} \right) - \left( \frac{0^3}{3} + \frac{0^2}{2} \right) \][/tex]
[tex]\[ = \left( \frac{8}{3} + 2 \right) - 0 \][/tex]
[tex]\[ = \frac{8}{3} + 2 \][/tex]
[tex]\[ = \frac{14}{3} \][/tex]
Complete question:
What is the area of the region between the graphs of y=x² and y=-x from x=0 to x=2?
Devonte used the change of base formula to approximate log 8 25. Which expression did Devonte use?
A.log 8/25 B.log8/log25 C.log 25/8 D.log25/log8
Answer:
D.
Step-by-step explanation:
The four vertices of a rectangle drawn on a complex plane are defined by 1 + 4i, -2 + 4i, -2 – 3i, and 1 – 3i. The area of the rectangle is square units.
Answer:
The area of rectangle =21 sq units .
Step-by-step explanation:
Given the four vertices of rectangle are 1+4i,-2+4i, -2-3i and 1-3i.
Consider ABCD is a rectangle and its vertices are 1+4i,-2+4i,-2-3i and 1-3i.
First we find sides of rectangle
AB=vertices of B- vertices of A
AB= -2+4i-(1+4i)=-3
If complex number=a+biThen modulus=[tex]\sqrt{a^2+b^2}[/tex]Length of AB= [tex]\sqrt{(-3)^2}[/tex]=3 ( Because magnitude = length always positive )BC= Vertices of C - vertices of B
BC=-2-3i-(-2+4i)=-7i
Length of BC=[tex]\sqrt{(-7)^2}[/tex]=7 ( Magnitude always positive)
CD= vertices of D- vertices of C
CD= 1-3i-(-2-3i)=3
Length of CD= [tex]\sqrt{3^2}[/tex]=3 ( Magnitude always positive)
DA= vertices of A - vertices of D
DA= 1+4i-(1-3i) =7i
Length of DA= [tex]\sqrt{7^2}[/tex]=7 ( Magnitude always positive)
AB=CD and DA= BC
Length BC=7 units
Breadth AB=3 units
Area of the rectangle = [tex]length\times breadth[/tex]
Area of rectangle =[tex]AB\times BC[/tex]
Area of rectangle= [tex]3\times 7[/tex]=21 sq units .Kevin rolled two number cubes each numbered 1 to 6.
what is the probability that both number cubes land on 3?
Which of the following shows the correct evaluation for the exponential expression 6 over 7 to the power of 2?
6 over 7 plus 2 equals 2 and 6 over 7
6 over 7 times 2 equals 12 over 7 which equals 1 and 5 over 7
6 over 7 times 6 over 7 equals 36 over 49
6 over 7 divided by 2 equals 6 over 14
7-x = -2 whats the awnser
-3x - 7 = -6x + 2 ......................
Please do not answer unless you are pretty sure. Thanks!