Answer:
Circle
Step-by-step explanation:
Examples of conic sections are the circle, the ellipse, the parabola and the hyperbola. Parametric equations are used to express the x and y variables in terms of a less complicated manner using a third variable (t or θ).
The parametric equation for a circle with an equation [tex](x-h)^2+(y-k)^2=r^2[/tex] is given by:
[tex]x=rcos(t)+h, y=rsin(t)+k[/tex]
where r is the radius of the circle and (h, k) is the center of the circle.
A conic section with a parametric equations X=3cos(t)-1, y=3sin(t)+4 is a circle with center at (-1, 4) and radius of 3. The equation of the circle is:
(x + 1)² + (y - 4)² = 3²
Please help!!!! There are 324 students coming.
===============================================================
Explanation:
Assuming there are 324 seats available for the 324 students, this means that 324*5.60 = 1,814.40 dollars is earned in revenue from ticket sales.
Let x be the cost of equipment, lighting, and costumes combined.
The expression 1814.40 - x represents the profit made. It's the amount of money left after the bills are paid, so to speak. Or you could say profit = revenue - cost.
The committee wants $500 remaining, so they want 1814.40 - x to be equal to 500.
Let's solve for x
1814.40 - x = 500
-x = 500-1814.40
-x = -1314.40
x = 1314.40
So if $1,314.40 is spent on equipment, lighting, and costumes combined, then the committee will have $500 left over. If they spend less on those items, then the profit is more than $500. This means that $1,314.40 is the most they can spend.
Thank you for anyone who knows this
Answer:
Part (a) Vertex = (-3, -1)Part (b) Vertex = (4, 5)Part (c) function 2; max value = 5=====================================================
Explanations:
Part (a)
In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)
If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.
----------------------------
Part (b)
We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.
The given equation is in the form y = ax^2 + bx + c where in this case
a = -2b = 16c = -27The a and b values are plugged into the formula below to get
h = -b/(2a)
h = -16/(2*(-2))
h = -16/(-4)
h = 4
This is the x coordinate the vertex since the vertex is (h,k)
To find k, we plug that value of h into the original function to find its corresponding y value.
y = -2x^2 + 16x - 27
y = -2(4)^2 + 16(4) - 27
y = -2(16) + 16(4) - 27
y = -32 + 64 - 27
y = 5
We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)
----------------------------
Part (c)
We'll compare the y values of each vertex
Function 1 has a vertex of (-3, 1)Function 2 has a vertex of (4, 5)The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.
The max value here is y = 5. In other words, it's the maximum output the function can produce.
If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.
Find the coordinates of the center and the measure of the diameter for a circle whose equation is (x + 8)2 + (y - 4)2 = 81
Reminder :
( x + a )^2 + ( y + b )^2 = ( R )^2
Center : O = ( - a , - b )
R = radius
_____________________________
( x + 8 )^2 + ( y - 4 )^2 = ( 9 )^2
Center : O = ( - 8 , 4 )
radius = 9
Diameter = 2 × radius = 18
Can anyone help me solve a logarithm question?
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
Given equation in the question is,
[tex]\frac{2}{\text{log}_x(xy)}+\frac{2}{\text{log}_x(xy)}+3=5x[/tex]'
Since, [tex]\text{log}_a}(xy)=\frac{\text{log(a)}}{\text{log}(xy)}[/tex]
[tex]\frac{2\text{log}x}{\text{log}(xy)}+\frac{2\text{log}y}{\text{log}(xy)}+3=5x[/tex]
[tex]\frac{2(\text{log}x)+2(\text{log}y)}{\text{log}(xy)}=5x-3[/tex]
[tex]\frac{2[\text{log}(x)+\text{log}(y)]}{\text{log}(xy)}=5x-3[/tex]
[tex]\frac{2\text{log}(xy)}{\text{log}(xy)}=5x-3[/tex]
[tex]2=5x-3[/tex]
[tex]2+3=5x[/tex]
[tex]5x=5[/tex]
[tex]x=1[/tex]
PLEASE THIS IS TIMED I REALLY NEED HELP AND BRAINLIEST!! :(
PLEASE ONLY PUT CORRECT ANSWER!! :)
answers :
10^21
10^42
24^21
24^42
Answer:
It is 24^21 without hesitation
Answer:
Quick 24^21 Go
Step-by-step explanation:
Solve 7=6+b .
b= _____
Tyra, Ella, Tran and Ann share equally in the rental of a car. If the total cost of the rental is C dollers which expression represents Tyras share of cost
Answer:
C/4
Step-by-step explanation:
The amount divided by the amount of people will show how much each person owes
find the missing term in the sequence 3 ,-1 ,- 5 ____ -13
a. -6
b. -7
c. -9
d. -11
Answer:
C. -9
Step-by-step explanation:
The pattern is clearly subtracting 4 each time (or adding -4).
-5 - 4 = -9
Consider the expression 16 - 4 × 3 + 7. Use parentheses to rewrite the
expression so that it equals 11.
Answer:
16 - (4 × 3) + 7
Step-by-step explanation:
solve the right triangle.
Answer:
b=4√10
Step-by-step explanation:
AB²=AC²+BC²
14²=b²+6²
b²=14²-6²=160
b=√160=4√10
delete my answer
Step-by-step explanation:
Please help me as soon as you can
Answer:
1552.92
Step-by-step explanation:
Answer:
1552.92
Step-by-step explanation:
You can use this formula!!!
i really need help with this question!! 10 points!
The radius of a circle is 18.4 inches. The circle's circumference is about ___ inches.
Use 3.14 for .
Answer:
115.552 or 116 inches
Step-by-step explanation:
circumference of a circle formula which is C= 2piR. Where C is circumference and R is radius. So you get C=2(3.14×18.4)
PLEASE HELP ME ILL GIVE BRAINLIEST IF ITS RIGHT
Answer:
94.08m
Step-by-step explanation:
Just multiplly each sides dimensions for all 6 sides.
PLEASE HELP ME
Find the surface area of this box. The length is 5 cm the width is 5 cm and the
height is 5 cm.
Answer:
150cm^2
Step-by-step explanation:
What is the answe please help me
Answer:
Opcion C
Step-by-step explanation:
I think Maybe it could be
The ratio of tomatoes to red apples is 2: 5. If there are 20 tomatoes,
how many red apples are there?
please I need help I'm not good at ratio
Answer:
50 red apples
Step-by-step explanation:
Ratio: 2:5
Tomatoes: 20
20/2 = 10
5 x 10 = 50
There are 50 apples.
Which function is the inverse of
f(x)= x+4?
A. F'(x) = (x - 4)
B. F"(x) =-**-4
C. ('(x) = x3-4
D. f '(x) = 4 - x?
Help quick
Answer:
x^3-4
Step-by-step explanation:
y = (x+4) ^ 1/3
Exchange x and y
x = (y+4)^1/3
Solve for y
Raise each side to the 3rd power
x^3 = (y+4)^1/3 ^3
x^3 = y+4
Subtract 4 from each side
x^3 -4 = y+4-4
x^3 -4 = y
The inverse is
x^3-4
find the range of the following mathematics examination scores 80 65 84 73 90 96
The range is 31
Step-by-step explanation:
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.
PLEASE HELP! Pick one answer.
Answer:
c
Step-by-step explanation:
Answer:
C
1 or more includes from the 1st quartile to the rest of the graph, so it is 75%
Are the arcs below congruent?
140"
G
B
A
140"
H
A. No, because the arcs do not have the same measure.
B. There is not enough information to determine.
C. Yes, because the arcs have the same measure.
D. No because the.arcs are not oriented the same.
someone helppp mee plss
While both arcs have the same degree measure (140 degrees), we don't have enough information about the radii. If the radius AO is the same length as radius OH, then the arcs are congruent. Otherwise, the arcs aren't congruent.
No, the arcs aren't congruent because the we don't know the size of both the circles, it is possible that one circle would be small and the other would have greater size than the first one, they only have same measure(140°) but not same size.
_______________
P.S- Refer the attachment, you will yourself understand what I'm trying to explain.
HELP GIVING BRAINLIEST PLEASEEE
use Pythagorean theorem to solve for the missing side in the triangle above
HELP ASAP!!!
Mr. Watson earns more than $24 per hour. The inequality x greater-than 24 represents the situation. Which statement best represents the solutions of the inequality?
all rational numbers greater than 24
or
all whole numbers greater than 24
Answer:
all whole numbers greater than 24
Step-by-step explanation:
Someone please help
Answer:
15 cm
Step-by-step explanation:
.....................
Find the measure of ZBAC. (The figure is not drawn to scale.)
70
с
A
70
B
140
С
20
D
35
What is the circumference of the following circle?
r = 1
units
Answer:
2 pi or 6.2831853...
Step-by-step explanation:
C=pi 3r
The circumferance of the circle given is 2π units.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is a circle whose radius is equivalent to 1 units.
It is asked to find the circumferance of the circle given in the formula.
We know that the circumferance of the circle is given by the formula -
C = 2πr
Putting the values, we get -
C = 2 x π x 1
C = 2π units
So, it can be concluded that the circumferance of the circle given is 2π units.
Therefore, the circumferance of the circle given is 2π units.
To solve more questions on circle dimensions, visit the link-
https://brainly.com/question/29213222
#SPJ7
Plz help I don't know much about what this question is asking me
Answer:
B
Step-by-step explanation:
You can see that the only difference between the three questions is the charge of the electrons. Electrons are negatively charged and so the answer is just B
Answer:
Pretty sure its A so sorry if its wrong
Step-by-step explanation:
Wish you the best of luck and hope this helps!
find the area of the figure with coordinates A (-6,1), B (2,1), C(-3,4), D(5,4)
Answer: The area of the figure is 24 units.
Step-by-step explanation:
After plotting, the given points on the graph, we can observe that it is a parallelogram(opposite sides are equal and parallel)
Height = 4-1 = 3 units
Base = 2-(-6) = 8 units
Area of parallelogram = Base x height
= 8 x 3 square units.
= 24 square units.
Hence, the area of the figure is 24 units.
Solve please!! Please hurry this is due today!!
Answer:
X=2 and y=5
Step-by-step explanation:
5=-4+9 True
5=8-3 True
Nancy is making accessories for the soccer team. She uses 542.43 inches of fabric on headbands for 37 players and 4 coaches. She also uses 314.87 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
21.74 inches of fabrics
Step-by-step explanation:
Headbands = 542.43 inches of fabric
37 players + 4 coaches = 41 people
Each person uses = 542.43 inches of fabric / 41 people
= 13.23 inches of fabrics for headband per person
wristbands = 314.87 inches of fabric
Players = 37
Each person uses = 314.87 inches of fabric / 37 players
= 8.51 inches of fabrics for wristband per person
How much fabric was used on a headband and wristband for each player?
Fabrics used on a headband and wristband for each player = 13.23 inches of fabrics for headband per person + 8.51 inches of fabrics for wristband per person
= 13.23 inches+ 8.51 inches
= 21.74 inches
Fabrics used on a headband and wristband for each player = 21.74 inches of fabrics
Q2
The function R(t) = 50e -0.013t
models the number
of grams in a sample of radium after t years. On which
interval is the sample's average rate of decay the
slowest?
[0, 5]
[10, 20]
[25, 30]
[25,35]
Answer:
The interval [25, 35] has the slowest average rate of decay.
Step-by-step explanation:
The number of grams in a sample of radium is represented by the function [tex]r(t) = 50\cdot e^{-0.013\cdot t}[/tex], which is a monotonous decreasing function. Hence, the greater the values of [tex]t[/tex], the slowest the average rate of decay, represented by a secant line. The interval [25, 35] has the slowest average rate of decay.