Sorry forgot to post pictures of the question on last post (here there are)
For question 4 and 5 You have to find what the equation would look like on a graph. brainly wouldn't let me post all the answer options for those questions sorry!
Answers
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
[tex]x=-3+2cos\theta,\:y=5+2sin\theta\\\\x+3=2cos\theta,\: y-5=2sin\theta\\\\(x+3)^2=4cos^2\theta,\: (y-5)^2=4sin^2\theta\\\\(x+3)^2+(y-5)^2=4cos^2\theta+4sin^2\theta\\\\(x+3)^2+(y-5)^2=4(cos^2\theta+sin^2\theta)\\\\(x+3)^2+(y-5)^2=4(1)\\\\(x+3)^2+(y-5)^2=4[/tex]
Thus, the first option is correct. Trying all the other options will not get you the desired rectangular equation.
Problem 2
[tex]x=3-6cos\theta,\: y=-2+3sin\theta\\\\x-3=-6cos\theta,\: y+2=3sin\theta\\\\\frac{x-3}{-6}=cos\theta,\: \frac{y+2}{3}=sin\theta\\ \\ \frac{(x-3)^2}{36}=cos^2\theta,\: \frac{(y+2)^2}{9}=sin^2\theta\\ \\ \frac{(x-3)^2}{36}+\frac{(y+2)^2}{9}=cos^2\theta+sin^2\theta\\\\ \frac{(x-3)^2}{36}+\frac{(y+2)^2}{9}=1[/tex]
Therefore, the first option is correct. This equation is in the form of an ellipse with a horizontal major axis length of 12 (half is 6) and a vertical minor axis length of 6 (half is 3), with its center at (3,-2).
Problem 3
Not sure which equation needs to be used for this problem
Problem 4
[tex]x=-7cos\theta ,\:y=5sin\theta\\\\-\frac{x}{7}=cos\theta,\: \frac{y}{5}=sin\theta\\ \\ \frac{x^2}{49}=cos^2\theta,\: \frac{y^2}{25}=sin^2\theta\\ \\\frac{x^2}{49}+\frac{y^2}{25}=cos^2\theta+sin^2\theta\\ \\ \frac{x^2}{49}+\frac{y^2}{25}=1[/tex]
This equation is in the form of an ellipse with a horizontal major axis length of 14 (half is 7) and a vertical minor axis length of 10 (half is 5). See attached graph.
Problem 5
Eliminate the parameter:
[tex]x=-t^2-2,\:y=-t^3+4t\\\\x+2=-t^2\\\\-x-2=t^2\\\\\pm\sqrt{-x-2}=t\\\\y=-t^3+4t\\\\y=-(\pm\sqrt{-x-2})^3+4(\pm\sqrt{-x-2})[/tex]
Attached below is the graph of the curve, which corresponds with the first option.
Related Questions
Diego's recipe calls for three times as much oregano than Tracy's recipe. If Tracy only uses 0.75 tablespoons of oregano in her recipe, how many does Diego use?
Answers
Answer:
2.25 tablespoons of oregano
Step-by-step explanation:
as Diego use 3x more than Tracy, and you know that Tracy use 0.75 tablespoon, so 0.75 x 3 and you will get 2.25
For a sample of n = 16 scores, what is the value of the population standard deviation (o) necessary to produce each of the following standard error values?
a. Ом = 8 points
b. Ом =4 points
с. Ом = 1 point
Answers
Using the Central Limit Theorem, it is found that the values of the population standard deviation [tex]\sigma[/tex] needed are given by:
a) [tex]\sigma = 32[/tex]
b) [tex]\sigma = 16[/tex]
c) [tex]\sigma = 4[/tex]
What does the Central Limit Theorem state?By the Central Limit Theorem, the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, we have that n = 16.
Item a:
s = 8, hence:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]8 = \frac{\sigma}{\sqrt{16}}[/tex]
[tex]\sigma = 32[/tex]
Item b:
s = 4, hence:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]4 = \frac{\sigma}{\sqrt{16}}[/tex]
[tex]\sigma = 16[/tex]
Item c:
s = 1, hence:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = \frac{\sigma}{\sqrt{16}}[/tex]
[tex]\sigma = 4[/tex]
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
Measurements of angles
Answers
Answer:
x = 60
Step-by-step explanation:
Since this triangle is an isosceles triangle, the angle next to the 60 degrees is 60 as well. The interior angles of a triangle adds up to 180 degrees, so:
60 + 60 + x = 180
120 + x = 180
x = 60
Hope this helps :)
Amy joined a gym with a $77 enrollment fee. The equation below can be used to find the total Amy has paid, y, if she has belonged to the gym for x months.
y = 44x + 77
What does the 44 represent in the equation?
A.
the amount for x months of membership
B.
the cost to join
C.
the number of months of membership
D.
the monthly dues
answer
the monthly dues
Answers
Answer:
44 represents months
x*y
$77
x
x*y
Arc cd located on circle a has a central angle of 135 the radius is the circle is 24 centimeters what is the length of arc cd
Answers
[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=24\\ \theta =135 \end{cases}\implies s=\cfrac{(135)\pi (24)}{180}\implies s=18\pi ~cm[/tex]
Answer:
B) 18π cm
Step-by-step explanation:
Step 1
Given:
Central angle θ=135°
Radius of circle r=24 cm
Length of arc CD =θ360°(2πr)
Step 2
l=135°360°×2π×24
l=38×2×π×24
l=3×2π×3
l=18π cm
Therefore
Length of arc CD =18π cm
Thus, option B is correct.
what is the length of the arc with a measure of 200 degrees in a circle with a radius of 31 inches?
Answers
Answer:
403π/9 or 140.67
Step-by-step explanation:
First, you have to find the circumference of the circle
Circle circumference equation:
Circumference = dπ (Circumference = diameter x pi)
You have a radius of 31 which is equal to 62 diameter (diameter is double the radius)
So:
C = 62π
Now, you need to know that a full circle is 360 degrees and we want only 200 degrees of that,
So in other words, you want 200/360 of the circle's circumference.
You can find the measure of the 200 degree arc by doing
62π x [tex]\frac{200}{360}[/tex] = [tex]\frac{403pi}{9}[/tex] or 140.67
Determine whether the statement makes sense or does not make sense, and explain your reasoning.
A candidate received the majority of first-place votes and lost the election.
Choose the correct answer below.
A. The statement does not make sense because the candidate with the majority of the first place votes using the plurality method is the winner.
B. The statement does not make sense because the candidate with the majority of the first place votes in an election is always the winner.
C. The statement makes sense because the Borda count method using preference ballots can result in a situation where this can happen.
D. The statement makes sense because the plurality method can result in a situation where this can happen.
Answers
A candidate received the majority of first-place votes but loses hows that A. The statement does not make sense.
What is plurality voting?It should be noted that plurality voting simply means when each voter is allowed to vote for only one candidate.
In this case, a candidate received the majority of first-place votes will win the election. Here, the majority of the first place votes using the plurality method is the winner.
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Trigonometric equations
4sin^2(theta) + 4 = 5
Answers
Answer:
Θ = (π/6) + πn
Θ = (5π/6) + πn
Step-by-step explanation:
4sin²Θ + 4 = 5
-4 -4
4sin²Θ = 1
÷4 ÷4
sin²Θ = (1/4)
√sin²Θ = √(1/4)
sinΘ = (1/2), (-1/2)
-------------------------
Θ = arcsin (1/2)
Θ = (π/6)
to find the quadrant subtract π
Θ = π - (π/6)
Θ = (5π/6)
Find the period
2π / |b|
b = 1
2π/1 = 2π
The sin Θ function is 2π, so values will repeat 2π in both directions.
Θ = (π/6) + 2πn (n is the variable)
Θ = (5π/6) + 2πn
-------------------------------------------------------------------------------------------------------
sin Θ = (-1/2)
Θ = arcsin (-1/2)
Θ = (-π/6)
To find the second function add π
Θ = 2π + (π/6) + π
Θ = (7π/6)
Find the period
2π/|b|
2π/1
2π
(-π/6) + 2π
2π 6 π
----- × ----- - -----
1 6 6
Θ = (11π/6) will repeat every 2π in both directions
-------------------------------------------------------------------------------------------------------
Θ = (π/6) + 2πn
Θ = (5π/6) + 2πn
Θ = (7π/6) + 2πn
Θ = (11π/6) + 2πn
(π/6) + π = (7π/6)
(5π/6) + π = (11π/6)
Θ = (π/6) + πn
Θ = (5π/6) + πn
----------------------------------------------------------------------------------------------------------
I hope this helps!
Find the derivative of the image below
Answers
[tex]~~~\dfrac{d}{dx} f(x) \\ \\=\dfrac{d}{dx} \left(x^3 \cdot \log_6 x \right)\\\\=x^3\dfrac{d}{dx} \left(\log_6 x\right) + \log_6 (x)\dfrac d{dx} x^3 \\\\=x^3 \cdot \dfrac 1{x \ln 6} + \log _6 (x) \cdot 3x^2\\\\=\dfrac{x^2}{\ln 6} + \log_6(x) \cdot 3x^2\\\\\\=x^2 \left(\dfrac 1{\ln 6} + 3\log_6 x \right)[/tex]
[tex]\text{The derivative is now in a form of}~ x^A (B + C \log_D (x))[/tex]
If the difference of 3 / 4 and 1 / 6 of a number is 7, find the number and also verify your answer.
Answers
The computation of the equation illustrates that the number will be 46.4.
How to solve the equation?Let the number be represented as x.
Therefore, the the difference of 3 / 4 and 1 / 6 of a number is 7 will be computed as follows:
(1/6 × x) - 3/4 = 7
0.167x = 7 + 3/4
0.167x = 7.75
x = 7.75/0.167
x = 46.4
Therefore, the number is 46.4.
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Each marble bag sold by Lashonda's Marble Company contains 8 orange marbles for every 5 red marbles. If a bag has 45 red marbles, how many orange marbles does the bag contain?
Answers
Answer:
72 orange marbles
Step-by-step explanation:
First, divide 45 by 5 to determine how many red units there are. Then, use that number (9) to multiply with 8 to get the number of orange marbles, which is 72.
Hopefully this helps- let me know if you have any questions!
what is 1/4 - 41 1/4 + 3
Answers
Answer:
-38
Step-by-step explanation:
i hope this helps you
good luck on your quiz or lesson!
Answer:
-38
Step-by-step explanation:
[tex]\frac{1}{4} = 0.25[/tex]
[tex]\frac{1}{4} -41\frac{1}{4} +3[/tex]
[tex]0.25-41.25+3[/tex]
[tex]-41+3[/tex]
[tex]-38[/tex]
the sum of 3x and 1 is greater than-5 and less than or equal to 10
Answers
Answer:
x is greater than -2 and less than or equal to 3
Step-by-step explanation:
so the 3x + 1 is greater than -5
so 3x is greater than -6
we divide both sides by 3
then we find out that x is greater than -2
we also know that 3x + 1 is less than or equal to 10
so 3x is less than or equal to 9
we divide both sides by 3
then we find out that x is less or equal to 3
so we can say that x is greater than -2 and less than or equal to 3
What is the mean absolute deviation of the following set
of data?
9
2
9
9
5
4.
9
1
4
10
Answers
Answer:
3
Step-by-step explanation:
You want the mean absolute deviation of the set of numbers ...
{9, 2, 9, 9, 5, 4, 9, 1, 4, 10}
MADThe mean of this 10-number set of data is 6.2. The mean absolute deviation (MAD) is found by subtracting that from the members of the dataset, taking the absolute values of the result, and finding the means of those.
The attachment shows those calculations.
The MAD of this set of data is 3.
__
Additional comment
The period (decimal point) in the column of numbers suggests this is a 6-number dataset, and the last 4 numbers are answer choices. If that is the case, none of those answer choices is correct. That is why we assumed that this problem has a 10-number dataset.
When you're calculating this by hand, you only need to consider the values for which the deviation is negative. The MAD is twice their total absolute value, divided by the number of numbers in the dataset. Here, that is 2(4.2+2.2+5.2+2.2+1.2)/10 = 3. (Numbers 2, 5, 4, 1, 4 are less than the mean of 6.2.)
<95141404393>
Multiply 6−√5 by its conjugate and simplify
Answers
[tex]6 - \sqrt{5} \times \frac{6 + \sqrt{5} }{6 + \sqrt{5} } [/tex]
[tex] \frac{(6 - \sqrt[]{5})(6 + \sqrt{5} ) }{6 + \sqrt{5} } = \frac{36 - 5}{6 + \sqrt{5} } = \frac{31}{6 + \sqrt{5} } [/tex]
Write an explicit formula for an; the nth
term of the sequence 6, 12, 18, ....
Answers
Answer:
F(n) = 6n
Step-by-step explanation:
An explicit sequence goes by the pattern: A0 + (n-1)d, where A0 is the starting term, n is the nth term in the sequence, and d is the common difference. The explicit formula for this sequence is F(n) = 6 + 6(n-1), or 6n
Which polynomial function could be represented by the graph below?
Answers
Answer:
C
Step-by-step explanation:Only one that makes sence just look at the graph
A cone has a hight of 18 meters and a radius of 10 meters what is its volume use 3.14
Answers
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=18 \end{cases}\implies V=\cfrac{\pi (10)^2(18)}{3}\implies \stackrel{using~\pi =3.14}{V=1884}[/tex]
When asked to factor the trinomial x^2 - 18x + 81, a student gives the answer (x - 9)(x + 9). Which of the following statements is true?
A. The answer is incorrect; the trinomial cannot be factored.
B. The answer is incorrect; the plus sign should be a minus sign.
C. The answer is incorrect; the minus sign should be a plus sign.
D. The answer is correct.
Answers
Answer:
B.The answer is incorrect; the plus sign should be a minus sign.
Step-by-step explanation:
[tex]x^2-18x+81\\\\=x^2-2\cdot 9x +9^2\\\\=(x-9)^2\\\\=(x-9)(x-9)[/tex]
A container holds 4 gallons of lemonade. How much is this in pints
Answers
Answer:
i think I'd be / the answer is 46
Sanjay is standing on level ground 70 meters away from a flag pole. The angle of elevation to the flagpole is 38 degrees. The height of Sanjay's eyes are 167cm from the ground. How tall is the flag pole in meters?
Answers
The height of the pole is 53 m
What is the height of the pole?The angle of elevation is the angle formed between a horizontal line and a line of sight or an upwardly inclined line from an observer to an object or point. It is used to describe the angle at which an object is viewed from a particular position
Let the height of the pole be x
We know that;
Tan 38 = 1.67 + x/70
Tan 38 * 70 = 1.67 + x
x = (Tan 38 * 70 ) - 1.67
x = 53 m
Thus we can see that the height of the pole is about 53 m
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Please help me i need help!!!
Answers
Answer:
sorry cant help with that
Step-by-step explanation:
40 Points! If AD is a diameter and m∠C = 112°, what is the measure of ∠A?
Answers
Both are supplementary
<A+<C=180112+<A=180<A=180-112<A=68Determine the value(s) for which the rational expression 10w−52w2+11w+5 is undefined. If there's more than one value, list them separated by a comma, e.g. w=2,3.
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The value(s) for which the rational expression (10w−5)/(2w²+11w+5) is undefined is -1/2 and -5.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value for which the function will not be defined is the value of w which will make the denominator of the rational function zero. This values can be found by factorizing the denominator of the function. Therefore,
2w² + 11w + 5 = 0
2w² + 10w + 1w + 5 = 0
2w(w+5) + 1(w+5) = 0
(2w+1)(w+5) = 0
w = -1/2 , -5
Hence, the value(s) for which the rational expression (10w−5)/(2w²+11w+5) is undefined is -1/2 and -5.
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$1 = £0.73. Change $346 into £
Answers
Answer:
£252.58
Step-by-step explanation:
$346 × £0.73/$1 = £252.58
Please rate!! I hope this helps!!
I need help with this question really badly please help.
Answers
Elise had 1/4 of an apple pie. She gave 1/4 of what she had to her friend Danny. What fraction of the whole pie did Danny get?
Answers
The answer to your question is =
Danny got 1/16 of the whole pie
what scale factor is used to draw the longer trapezoid?
Answers
Which symbol < > = will make the comparison true 4/6 and 4/8
Answers
Answer:
4/6 > 4/8
Step-by-step explanation:
To see if the following is true:
We can cross multiply:
[tex]\frac{4}{6}\neq \frac{4}{8}[/tex] {4* 8 = 32} {4*6=24}
Thus,
[tex]\frac{4}{6}=32[/tex]
[tex]\frac{4}{8}=24[/tex]
Hence, [tex]\frac{4}{6} > \frac{4}{8}[/tex]
We can also turn them into decimal:
[tex]\frac{4}6=0.6667[/tex]
[tex]\frac{4}{8}=0.5[/tex]
0.5 is NOT greater than 0.6667 which also means that 4/8 is NOT greater than 4/6.
~lenvy~
What inverse operation will be used to undo the volume of Julie's jewelry box to find its edge lengths?
Volume formula for a cube is: volume = edge ^ 3
Answers
Answer:
Cubed root
Step-by-step explanation:
Do the inverse of cubed, cubed root