Yes, the curve can be drawn with parametric equations.The equation given is =2cos(), where the parameter is denoted by . We can express the - and -coordinates of the curve as follows:
=2cos()
=2sin()
To see why this works, consider the unit circle centered at the origin. Let a point on the circle be given by the angle , measured counterclockwise from the positive -axis. Then, the -coordinate of the point is given by sin and the -coordinate is given by cos.
In our case, the factor of 2 in front of cos and sin simply scales the curve. The fact that the curve is traced clockwise as increases is accounted for by the negative sign in front of sin.
To plot the curve, we can choose a range of values for that covers at least one complete cycle of the cosine function (i.e., from 0 to 2). For example, we could choose =0 to =2. Then, we can evaluate and for each value of in this range, and plot the resulting points in the - plane.
Overall, the parametric equations =2cos() and =-2sin() describe a curve that is a clockwise circle of radius 2, centered at the origin.
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Desmond spends $800 per month on fixed expenses. Desmond earns $10,00 per hour,
How many hours does Desmond need to work each month to spend 50% of his/her income
on fixed expenses?
Answer: 160 hours
============================================================
Explanation:
He earns $10.00 an hour. Let x be the number of hours worked in a month. So 10x represents how much he earns after working x hours.
If he spends $800 per month on fixed expenses, and wants this to be 50% of his total earnings, then this must mean that the other 50% is for other things (eg: spending on a vacation or putting it to savings). So his goal is to earn 800+800 = 1600 dollars per month.
Set 10x equal to this and solve for x
10x = 1600
x = 1600/10
x = 160
He needs to work 160 hours a month.
-------------------------------
Extra info:
Divide 160 over 4 (the approximate number of weeks in a month) and we see that he'll need to work 160/4 = 40 hours a week
If he only works Monday through Friday, that's 5 days of the week. So he'll put in 40/5 = 8 hours per day.
So his goal of working 160 hours per month is reasonable. Keep in mind that this doesn't include factors like him missing time from work due to being sick (unless he has paid sick leave).
how many times can 1/4 go into 6
Answer:
24 times
Step-by-step explanation:
Answer:24
Step-by-step explanation:
how do I solve this
Answer:
113
Step-by-step explanation:
DQ= 180-112= 68
and sum of ang in quad add to 360 so
lets call what we have to find x
so x+ 68+56+123= 360
x+247=360
x= 113
Enter the correct answer in the box.
What is the standard form of function f?
[tex]f(x)=4(x+6)^2+5[/tex]
Substitute numerical values into the equation for a, b, and c.
[tex]f(x)=ax^{2} +bx+c[/tex]
Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:
Given
f(x) = 4(x + 6)² + 5 ← expand the factor using FOIL
= 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4
= 4x² + 48x + 144 + 5 ← collect like terms
= 4x² + 48x + 149 ← in standard form
Answer:
Have a great rest of your day ;)
Step-by-step explanation:
The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
O4
O 8
O 32
O 64
Answer:
C. 32
Explanation:
The square-cube law states that "When an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier." This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.
Please give Brainliest
Works Cited:
https://en.wikipedia.org/wiki/Square%E2%80%93cube_law#:~:text=The%20square%E2%80%93cube%20law%20can,the%20cube%20of%20the%20multiplier.
The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.
What is scale factor?A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.
here, we have,
The square-cube law states that "When an object undergoes a proportional increase in size,
its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.
" This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.
Hence, The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.
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4 minutes 53 seconds to seconds
Answer: 293 Seconds
Step-by-step explanation:
Answer:
293 seconds
Step-by-step explanation:
one minute = 60 seconds
4 x 60 = 240 seconds -------> use the equation above to multiply per min
240 + 53 = 293 seconds -------> add the remaining seconds to find total
Help me find the slope to 0,0 and 6,1
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Slopes and gradient.
slope, m = y2-y1/ x2-x1
hence, m = 1-0/ 6-0
m = 1/6
hence slope = 0.166
Which of the following best describes the solution to the system of equations below?
6x + 5y=8
6x + 5y=15
A. The system of equations has infinitely many solutions.
B. The system of equations has exactly one solution where x=0 and y =8/5
C. The system of equations has no solution.
D. The system of equations has exactly one solution where x = 8 and y= 15.
Answer:
the correct answer is C the system of equations has no solution.
help i have this question and i’m not sure what the answer would be
Answer:
2 10 or 100 2
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
2(3x-9)=2x+10 what's x
Answer:
x = 7
Step-by-step explanation:
2(3x-9)=2x+10
6x - 18 = 2x + 10
4x = 28
x = 7
Answer:
x = 7
Step-by-step explanation:
In order to find the value of x, isolate it in the equation.
1) First, distribute the 2 to the terms inside the set of parentheses.
[tex]2 (3x - 9) = 2x + 10 \\6x - 18 = 2x + 10 \\[/tex]
2) Next, move all the x terms to one side and all the other terms to the other side. Subtract both sides by 2x and add both sides by 18.
[tex]6x - 18 = 2x + 10 \\4x = 28[/tex]
2) Divide both sides by 4 to finally isolate x.
[tex]4x = 28 \\x = 7[/tex]
Thus, x = 7.
I need a lot of help please ):
And if u don’t know the answers do not comment anything because i'm really looking for help!
Answer:
The answer are
CX=10/3
ML=76
Step-by-step explanation:
NUMBER 4
We know that the averages are divided 1 to 2 by the base
[tex]then \: \\ xc = \frac{1}{3} xf \\ = \frac{1}{3} \times 1 0 = \frac{10}{3} [/tex]
NUMBER 5
[tex]ml = \frac{2}{3} mr \\ then \\ 10x - 4 = \frac{2}{3} (12x + 18) \\ 30x - 12 = 24x + 36 \\ 6x = 48 \\ x = 8 \\ then \\ ml = 10 \times 8 - 4 = 76[/tex]
Evaluate x=-3, y=4, z=-5
Answers suggested below
-17
41
23
-40
-58
-16
Answer:
2. -16
6. 23
7. -40
8. -17
9. 41
10. -58
Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she
drinks in a week?
There are 16 cups in a gallon.
Answer:
Katie drinks 56 cups (3.5 gallons) of water in one week.
Step-by-step explanation:
16 - 0.5 (1/2) = 0.5 (1/2)
16 - 1/2 = 8
8 x 7 days (1 week)
= 56 cups
Katie drinks 56 cups (3.5 gallons) of water in one week.
Make x the subject
y = 5x + 3
Answer:
x=y-3/5
Step-by-step explanation:
y=5x+3
y-3=5x
y-3/5=x
x=y-3/5
In the triangle below x= cm round to the nearest tenth 15 is the hypotenuse 35 is a angle and 90 in an angle. Please help
Answer:x= 38.079
Step-by-step explanation:
what is m
A.
B.
C.
D.
Answer: .B.
Step-by-step explanation
I NEED HELP ASAP, AND PLZ DONT SPAM
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the indices,
After applying the log rules we get the equation as,
===> 3-x = 1/2
===> x = 5/2
6 74/500 as a decimal (giving another chance for brainliest)
Answer:
6.148
Step-by-step explanation:
please help me , I am so confused my head is hurting from this problem...
Answer:
For the first one you could do 1 and 3/5 for the second one you ca do 2/5 3/5 and 3/5 again to get the answer
Step-by-step explanation:
1 + 3/5 = 1 3/5
2/5 + 3/5 + 3/5 = 1 3/5
Find y. Simplify completely.
y = [?]
Enter the number that belongs in the green box.
Please helpppp
Answer:
181?
Step-by-step explanation:
I saw a thing that it was A-squared plus B-squared=C.
9 squared=81. 10 squared=100. 100+81=181.
(If you have checks, I would definetely try it. But if you don't, and it's like a quiz or test, I wouldn't try it cuz I'm not 100% sure.
Answer:Y=190
Step-by-step explanation:I finished my exam and this answer was y=190 :) I hope I helped
Determine the geometric mean of 11 and 8.
Answer:
[tex]\sqrt{88}[/tex]
Step-by-step explanation:
The geometric mean of 11 and 8 is equal to [tex]\sqrt{88}[/tex].
According to the question it is clear that we have to calculate the geometric mean of two positive numbers 11 and 8.
The geometric mean of two positive numbers a and c is the positive number b in such a way that it satisfies the condition
[tex]\frac{a}{b}=\frac{b}{c}[/tex]
The geometric mean of a and b is √ab if a and b are both positive numbers and it will be −√ab if a and b are negative numbers.
The geometric mean is the positive square root of the product of two numbers.
For a square the geometric mean of two numbers a and b, is the length of one side of a square whose area is equal to the area of a rectangle with the sides of a and b lengths.
If we talk about the n numbers then the geometric mean is the nth root of the product of n numbers. If n positive values are given then the geometric mean is the nth positive root of the product of that n numbers.
So, the geometric mean is equal to [tex]\sqrt{a.b}[/tex]
Here, a = 11 and b = 8
The geometric mean of this is equal to = [tex]\sqrt{11.8}[/tex] = [tex]\sqrt{88}[/tex]
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A container of bread contains: 8 red beads, 6 yellow beads, and 6 green beads. A bread will be drawn from the basket and replaced 60 times. What is a reasonable prediction for the number of times a green or red is drawn?
Write the equation of the line.
Your teacher asked your class to describe a real world situation in which a y-intercept is 100 and the slope is 5. Your partner gave the following description: My younger brother originally had 100 small building blocks, but he has lost 5 of them every month since. What mistake did your partner make?
Answer:
He should have said that his small brother had 100 small building bricks, but lost 5 in total now.
Hi! I am Khushi
can you all please tell me the answer of this question.
The question is:
Convert 4:1 into percentage
the options are:
(a) 80%:20%
(b) 75%:25%
(c) 60%:40%
(d) 20%:80%
Answer:
80%:20%
Step-by-step explanation:
100 divided by 5 = 20
20 x 1 = 20
20 x 4 = 80
Meaning 80%(4):20%(1)
(5x-8)
+
(2x+19)
Find the value of x.
OA.5
B.7
C.9
D.11
Answer:
x=9 option C
Step-by-step explanation:
explanation above
Please mark me as brainlist
please help!
In right triangle ABC, angle C is a right angle, AB = 13, and BC = 5.
What is the length of AC?
Answer:
Step-by-step explanation:
AC=[tex]\sqrt{13^{2} -5^{2} }[/tex]
=12
Which side lengths form a right triangle?
Answer:
B
Step-by-step explanation:
1^2+8^2=[tex]\sqrt 65\\[/tex]
hii please help i’ll give brainliest if you give a correct answer!
Answer:
8
Step-by-step explanation:
A square is cut diagonally into two equal parts. If each part has an area of 50 cm^2, then what is the perimeter of each part?
I tried it isn't 30 cm
Answer:
30cm
Step-by-step explanation:
Given data
When are square is cut diagonally into two parts
The resulting shape is a triangle
hence the area of the square = 50+50 = 100cm^2
The length of each side of the square = √100= 10cm
likewise the diagonal of the square = 10cm
Hence the perimeter of the resulting triangle= 10+10+10= 30cm