Answers
The parametric equation that represents the same path as the original equation is x = 3 + cos(2θ) and y = 2sin(2θ).
Path of the parametric equations
The given parametric equation can be expressed as follows;
x = 3 + cosθ
y = 2sinθ
From the given options, a plot of the various equation can be used to determine the paths of the equation.
For; x = 3 + cos(2θ) and y = 2sin(2θ), its parametric plots is same as original equation since the equation [3 + cos(2θ) and y = 2sin(2θ)] changed at equal rate of the angles.
Thus, the parametric equation that represents the same path as the original equation is x = 3 + cos(2θ) and y = 2sin(2θ).
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Related Questions
CA is parallel to DE. The measure of BA is 120. The measure of BC is 180. The measure of BD is 80. What is the measure of BE?
A) 60
B) 80
C) 100
D) 120
Answers
The measure of BE is 100
Sure hope this helps you
Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30
pages, what can you conclude?
OA About 60% of the books have fewer than 150 pages.
O B.
About 16% of the books have fewer than 150 pages.
OC.
About 95% of the books have more than 150 pages.
OD. About 16% of the books have more than 150 pages.
Answers
Answer:
B
About 16% of the books have fewer than 150 pages.
Step-by-step explanation:
Quizlet also said so
Question 6 of 10
Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
6.833
3.594
+1.369
————
Answer here
Answers
Step-by-step explanation:
7
4
1
----
12
reality
6.833
3.594
1.369
----------
11.796
Two spheres have volumes of 87pi cm³ and 64pi cm³. If the surface area of the smaller sphere is 16pi cm², what is the
surface area of the larger sphere?
O 64pi cm²
O 96pi cm²
O 128pi cm²
O 256pi cm²
Answers
The surface area of the large sphere is 128π cm²
Complete questionTwo spheres have volumes of 8π cm3 and 64π cm3. If the surface area of the smaller sphere is 16π cm2, what is the surface area of the larger sphere?
How to determine the larger area?The given parameters can be represented using the following ratio:
Small Area : Large Area = Small Volume : Large Volume
Substitute the given parameters
16π : Large Area = 8π : 64π
Express as fraction
Large/16π = 64π/8π
Multiply both sides by 16π
Large = 128π
Hence, the surface area of the large sphere is 128π cm²
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20 points pls help quick
Let f(x) = 3x² + mx + 5 and g(x) = nx² - 4x - 2. The functions are combined to
form the new function h(x)=f(x)xg(x). Points (1,-40) and (-1,24) satisfy the new
function. Determine f(x) and g(x).
Answers
Answer:
[tex]\displaystyle f(x) = 3x^2 + 2x + 5\text{ and } g(x) =2x^2 - 4x -2\text{ or } \\ \\ f(x) = 3x^2 + 5 \text{ and } g(x) = x^2 - 4x -2[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle f(x) = 3x^2 + mx +5 \text{ and } g(x) = nx^2 - 4x -2[/tex]
And that:
[tex]\displaystyle h(x) = f(x)\cdot g(x)[/tex]
With the given conditions that (1, -40) and (-1, 24) satisfy the new function, we want to determine functions f and g.
First, find h:
[tex]\displaystyle \begin{aligned} h(x) & = f(x)\cdot g(x) \\ \\ & = (3x^2 + mx +5)(nx^2 - 4x -2) \end{aligned}[/tex]
Because (1, -40) and (-1, 24) are points on the graph of h, we have that h(-1) = 40 and h(-1) = 24. In other words:
[tex]\displaystyle \begin{aligned} h(1) = -40 & = (3(1)^2 + m(1) +5)(n(1)^2 - 4(1) -2) \\ \\ & = (3 + m +5)(n-4 -2) \\ \\ & = (m+8)(n-6) \\ \\ -40 &= mn-6m+8n-48 \end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned} h(-1) = 24 & = (3(-1)^2 + m(-1) +5)(n(-1)^2 -4(-1) -2) \\ \\ & = (3 - m +5)(n + 4 -2) \\ \\ & = (-m+8)(n+2) \\ \\ 24 & = -mn -2m + 8n +16 \end{aligned}[/tex]
Solve the system of equations. Adding the two equations together yield:
[tex]\displaystyle -16 = -8m+16n - 32[/tex]
Solve for either m or n:
[tex]\displaystyle \begin{aligned} -16 & = -8m + 16n - 32 \\ \\ 16 & = -8m + 16n \\ \\ 8m & = 16n - 16 \\ \\ m & = 2n -2\end{aligned}[/tex]
Substitute this into one of the two equations above and solve:
[tex]\displaystyle \begin{aligned} -40 & = mn - 6m + 8n - 48 \\ \\ 0 & = (2n-2)n -6 (2n-2) + 8n -8 \\ \\ &= (2n^2 - 2n) + (-12n + 12) +8 n - 8 \\ \\ & = 2n^2 -6n + 4 \\ \\ & = n^2 - 3n + 2 \\ \\ &= (n-2)(n-1) \\ \\ & \end{aligned}[/tex]
Therefore:
[tex]\displaystyle n = 2 \text{ or } n = 1[/tex]
Solve for m:
[tex]\displaystyle \begin{aligned}m &= 2n-2 & \text{ or } m & = 2n-2 \\ \\ & = 2(2) - 1 &\text{ or } & =2(1) -2 \\ \\ &= 2 &\text{ or } & = 0 \end{aligned}[/tex]
Hence, the values of n and m are either: 2 and 2, respectively; or 1 and 0, respectively.
In conclusion, functions f and g are:
[tex]\displaystyle f(x) = 3x^2 + 2x + 5\text{ and } g(x) =2x^2 - 4x -2\text{ or } \\ \\ f(x) = 3x^2 + 5 \text{ and } g(x) = x^2 - 4x -2[/tex]
Write the next whole number after 111 in the base-two system.
Answers
Answer:
111 (base 8) = 64 +8+1 =73(base10)
111 (base 2) = 4+2+1 =7(base 10)
Sum =73+7=80 (base 10)
8| 80|
8 | 10 | 0
8 | 1 | 2
8| 0 | 1
= 120 (base8)
80 (base10) = 120 (base 8)
Step-by-step explanation:
mark as brilliant
The next whole number after 111 in the base-two system is 1000.
What is the next whole number after 111 in the base-two system.In the base-two system (binary), the numbers are represented using only 0 and 1. After 111 in the base-two system, the next whole number is 1000.
To convert 1000 from base-two to base-ten (decimal), we can calculate as follows:
1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 0 * 2^0 = 8 + 0 + 0 + 0 = 8
So, the next whole number after 111 in the base-two system is 1000.
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Markson and Sons leases a copy machine with terms that include a fixed fee each month plus a charge for each copy made. Markson made 8,000 copies and paid a total of $980 in January. In April, they paid $760 for 6,000 copies. What is the variable cost per copy if Markson uses the high-low method to analyze costs? If required, round your answer to two decimal places.
Answers
The variable cost per copy if Markson uses the high-low method to analyze costs. will be $0.11.
How to calculate the cost?It should be noted that the variable cost per unit will be calculated as:
= Difference in cost between high and low level activities / Difference in units
= (980 - 760)/(8000 - 6000)
= 220/2000
= 0.11
Therefore, the variable cost per copy if Markson uses the high-low method to analyze costs. will be $0.11.
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Which of the following is the solution to the
inequality below?
-4x-7<5
A. x>-1
B. x < -¹/
C. x>-3
D. x<-3
Answers
Answer:
the answer to this problem Is C. x>-3
Evaluate the expressions.
(-7)⁰ = 0
0
2²( ³ ) = 0
5
010
X
Ś
Answers
Answer:
[tex]format \: examples \: )[/tex]
(30-30) = 40 RIGHT THE SIMILAR FROM 60 -40 AND CALCULATE ALL OF IT +4
ANSWER: 405
Translate "the sum of 6 and the product of 8 and x" into a mathmatical expression
Answers
Answer:
6 + 8x
Step-by-step explanation:
What is (f−g)(x) ?
f(x)=x3−3x2+2x−3
g(x)=4x2−5x+7
Enter your answer in the box.
(f−g)(x)=
Answers
Answer:
Step-by-step explanation:
(F-G)(X)=x^4-x^3+2x-6
find the smallest number by which 84 must be multiplied to make a perfect square?
Answers
Step-by-step explanation:
84=2×2×3×7
perfect square has all twice no.
so it is multiply by 7 x 3 =21
to get perfect square of 42
This year a small business has a total revenue of $21,700. If this is 38% less of their total revenue the previous year what was their total revenue the previous year?
Answers
Answer:
29946
Step-by-step explanation
Multiply the value by 1.38.
A skydiver is falling at a rate of 1.1 × 10 2 miles per hour. About how long will it take him to fall 5 miles?
Answers
Answer:
See below
Step-by-step explanation:
distance / rate = time
5 miles / 110 m/hr = .04545 hr = 2.727 min = 2 min 44 sec = 1/22 hr
k dived by 11 is 7
solve for k
Answers
Answer:
k = 77
Step-by-step explanation:
[tex]\frac{k}{11} =7\\\\\rightarrow 11 * 7 = 77\\\rightarrow 77 \div 11 = 7[/tex]
Answer:
k = 77
Step-by-step explanation:
The question in equation form is :
[tex]\frac{k}{11} =7[/tex]
Now we multiply both sides by 11 to solve for k :
k = 7×11
k = 77
Hope this helped and brainliest please
What are the values of x and y?
Figure and answers shown below.
Answers
Answer:
C) x = 8√3 ; y = 4√3
Step-by-step explanation:
In this figure, the triangle is 30°-60° right triangle.
So x/12= 2/√3, y/12 = 1/√3
Answer:
C
Step-by-step explanation:
Help Me please . I want to know cube root of 512 and 997002999 . please man fast
Answers
Answer:
8,999
Step-by-step explanation:
Cube root of 512 is 8.
cube root of 997002999 is 999.
Please help I am so confused
Evaluate -6b+8t where b=-9 and t=-9
Answers
Answer:
-18
Step-by-step explanation:
If you plug the number values into the equation, it would be -6(-9)+8(-9) when then turns out to be 54+(-72) which is -18
Which sentence illustrates the distributive property
Answers
Answer:
4th option
Step-by-step explanation:
the distributive property is
a(b + c) = ab + ac
that is each term in the parenthesis is multiplied by a
Answer:
a(b+c)=ab+ac
Step-by-step explanation:
The distributive property is when it distributes the outside variable with whatever is in the parenthesis.
For example, 2(1+3) is 2(1)+2(3)= 2+6=8.
Consider the function represented by the table.
For which x is f(x)=–3?
–7
–4
4
5
Answers
Step-by-step explanation:
-7 because i now this by myself aND blah blah blah blah blah blah blah blah blah blah blah blah blah blah step by step nice
nice nice
Answer:
A: -7
Step-by-step explanation:
Taking the test rn and just happened to see this :)
Evergreen Corporation manufactures circuit boards and is in the process of preparing next year's budget. The pro forma income statement for the current year is presented below.
Sales $ 3,500,000
Cost of sales:
Direct Material $ 500,000
Direct labor 250,000
Variable Overhead 275,000
Fixed Overhead 600,000 1,625,000
Gross Profit $ 1,875,000
Selling and General & Admin. Exp.
Variable 750,000
Fixed 250,000 1,000,000
Operating Income $ 875,000The break-even point (rounded to the nearest dollar) for Evergreen Corporation for the current year is:
$1,724,138.
$2,625,000.
$2,155,172.
$1,865,672.
Answers
The break-even point (rounded to the nearest dollar) for Evergreen Corporation for the current year is: A. $1,724,138.
Break-even pointFirst step is to calculate the Variable costs
Variable costs = $500,000 + $250,000 + $275,000 + $750,000
Variable costs = $1,775,000
Second step is to calculate the Contribution margin ratio
Contribution margin ratio = (Sales - Variable costs) / Sales
Contribution margin ratio= ($3,500,000 - $1,775,000) / $3,500,000
Contribution margin ratio= 0.493×100
Contribution margin ratio =49.3%
Now let calculate the Break-even point
Break-even point = Fixed costs / Contribution margin ratio
Break-even point= ($600,000 + $250,000) / 0.493
Break-even point= $1,724,137.9
Break-even point =$1,724,138 (Approximately)
Therefore the break-even point (rounded to the nearest dollar) for Evergreen Corporation for the current year is:$1,724,138.
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Determine whether or not the situation describes a function. Give a reason for your answer. The letter grade in this course is a function of your numerical grade. a. No, it is not a function. Each letter grade corresponds to one numerical grade. b. No, it is not a function. Each numerical grade corresponds to one letter grade. c. Yes, it is a function. Each numerical grade corresponds to one letter grade. d. Yes, it is a function. Each letter grade corresponds to one numerical grade. Please select the best answer from the choices provided A B C D
Answers
Yes, it is a function. Each numerical grade corresponds to one letter grade. Then the correct option is C.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
Determine whether or not the situation describes a function.
The letter grade in this course is a function of your numerical grade.
Yes, it is a function. Each numerical grade corresponds to one letter grade.
Then the correct option is C.
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Amanda's math certificate is 7 inches tall and
11 inches wide. Amanda wants to put the
certificate in a fancy frame that costs $3.00
per inch. How much will it cost to frame
Amanda's math certificate?
Answers
Answer:
ten inches
Step-by-step explanation:
because the frame will focus on it wider the tall will not fall in so you will divide the wide inches and you will mutiple it by the tall inches
what is the answer to thiss
Answers
Hi Student!
This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression. So let's plug in the values and solve.
Plug in the values
[tex]m^2 + 5[/tex][tex](9)^2 + 5[/tex]Factor out the exponent
[tex](9*9) + 5[/tex][tex]81 + 5[/tex]Combine
[tex]86[/tex]Therefore, the final answer that we would get when substituting m with 9 in the given equation is that we get 86.
An auto weighing 2,000 pounds is on a street inclined at 10° with the horizontal. Find the force necessary to prevent the car from rolling down the hill. (Round your answer to the nearest whole number.)
347 pounds
14,397 pounds
2,462 pounds
Answers
Force (F) = WSin(angle)
F = 2000×Sin(10)
Therefore, F = 347lb.
What is the distance between the points (-4,-8) and (6,16), to the nearest tenth of a units?
A. 8.2 units
B.676.0 units
C.21.8 units
D.26.0 units
Answers
Answer:
D.26.0 unitsStep-by-step explanation:
Given : the points A(-4,-8) and B(6,16),
Let d be the distance between A and B.
Then
[tex]d=\sqrt{\left( 16-\left( -8\right) \right)^{2} +\left( 6-(-4)\right)^{2} }[/tex]
[tex]=\sqrt{\left( 24\right)^{2} +\left( 10\right)^{2} }[/tex]
[tex]=\sqrt{676 }[/tex]
[tex]=26[/tex]
The rectangle shown is rotated about line k.
Rectangle A B C D is shown. A line of rotation goes through the midpoint of sides A B and D C to cut the side into two equal lengths of 5 inches. Side A D has a length of 4 inches.
What is the approximate base area of the resulting figure?
Area of a circle: A = πr2
31 sq. in.
50 sq. in.
79 sq. in.
314 sq. in.
Answers
The approximate base area of the resulting figure is 79 in²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The resulting figure formed from the rotation is a cylinder with a radius of 5 inches and height of 4 inches
Area of base = π * radius² = π * 5² = 79 in²
The approximate base area of the resulting figure is 79 in²
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Enter a positive value for d that makes this statement true: 18 *d less than 18 but greater than 0
Answers
Answer:
d=0.5
Step-by-step explanation:
18 x 0.5=9
9 is less than 18 and greater than 0
Answer:
9
Step-by-step explanation:
I need help. This is an ixl
Answers
Answer: 2
Step-by-step explanation:
We will first pull the data values.
0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3
Now, we will find the middle data value. This is the median.
0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3
/, /, /, /, /, 2, /, /, /, /, /
Our median is 2.
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In a study of patients arriving at a hospital emergency room, the gender of the patients is considered, together with whether the patients are younger or older than 30 years of age, and whether or not the patients are admitted to the hospital. It is found that 45% of the patients are male, 30% of the patients are younger than 30 years of age, 15% of the patients are females older than 30 years of age who are admitted to the hospital, and 21% of the patients are females younger than 30 years of age. What proportion of the patients are females older than 30 years of age who are not admitted to the hospital?
Answers
The probability of patients are females older than 30 years of age who are not admitted to the hospital is 0.19
How to calculate the probability?The probability of patients who are females and are admitted will be 0.15. The probability of those younger than 30 years will be 0.21.
The proportion of the patients are females older than 30 years of age who are not admitted to the hospital will be:
= [(1 - 0.45) - 0.21] - 0.15
= 0.19
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