We are required to find how much the polygon has rotated after 12 minutes
The number of times the polygon has rotated after 12 minutes is 72°
Number of sides of the polygon = 60
The polygon rotates every minute, that is
1 rotation = 1 minutes
12 rotation = 12 minutes
one rotation of the clock is 360°
Number of times the polygon has rotated after 12 minutes = one rotation of the clock / Number of sides of the polygon × number of minutes
= 360°/60 × 12
= 6 × 12
= 72°
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you are solving an equation with a variable on each side. does the side on which you choose to isolate the variable affect the solution? why might you choose one side over the other?
Answer:
Does the side on which you choose to isolate the variable affect the solution?
No, because at the end you get an equation with a variable on one side only.Why might you choose one side over the other?
To simplify or minimize the number of operations you need. Moving part of the terms from one side to another adds at least one extra operation and it may also bring some complications.Which of the following values are solutions to the inequality 3x+10\ge 2?3x+10≥2?
\text{I.}\hspace{2px}-1\hspace{20px}\text{II.}\hspace{2px}3\hspace{20px}\text{III.}\hspace{2px}-11
I.−1II.3III.−11
\text{None}None
\text{I only}I only
\text{II only}II only
\text{III only}III only
\text{I and II}I and II
\text{I and III}I and III
\text{II and III}II and III
\text{I, II and III}I, II and III
9514 1404 393
Answer:
I and II
Step-by-step explanation:
The inequality ...
3x +10 ≥ 2
has solutions ...
3x ≥ -8 . . . . . . . . subtract10
x ≥ -2 2/3 . . . . . divide by 3
Of the answer choices {-1, 3, -11}, the ones that are greater than -2 2/3 are ...
-1, 3 . . . . . . I and II only
If no sides of a triangle have the same length, the triangle is called scalene
(pronounced SKAY-leen). And, as you might remember, if the triangle has at
least two sides that are the same length, the triangle is called isosceles. Use the
markings or description in each diagram below to decide if AABC is isosceles or
scalene. Assume the diagrams are not drawn to scale.
Answer:
a. isosceles
b. isosceles
c. scalene
Please I need help the picture below with the options
9514 1404 393
Answer:
(B) Function 2
Step-by-step explanation:
We can compute the slope of Function 2 using the slope formula.
m = (y2 -y1)/(x2 -x1) . . . . where x and y are the independent and dependent variables.
m = (0.2 -0.8)/(3 -2) = -0.6
The slope of Function 1 is about ...
-3/7 ≈ -0.43
The slope of Function 2 is more negative.
__
On a graph, the line representing function 2 has a steeper downward slope.
Which property is shown?
If m ZABC = m ZCBD, then mZCBD = m ZABC
reflexive property
substitution property
symmetric property
Transitive property
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Answer:
(c) symmetric property
Step-by-step explanation:
The symmetric property of equality lets you swap sides of the equal sign.
__
Reflexive: A = A
Substitution: if A=B and A=C, then C=B
Symmetric: A = B ⇔ B = A
Transitive: if A = B and B = C, then A = C.
note that the substitution and transitive properties are almost indistinguishable.
I am a prime number. I am two digits.
The sum of my digits is 8.
My tens digit is 6 less than my ones digit.
Answer:
17
Step-by-step explanation:
17 is a prime number17 has two digitsThe digits in 17, 1 and 7, add up to 8The tens digit is 6 less than the ones digit place.Answer: 17
Step-by-step explanation:
1+7=8
The ten digit is (1) 6 less than the one digit (7)
Write the perimeter of the rectangle as a simplified expression
The simplified expression for the perimeter of the rectangle is 16x - 4. The perimeter of a rectangle is given by the formula: P = 2 * (length + width).In this case, the length of the rectangle is given as 7x + 1, and the width is given as x - 3.
So, the perimeter can be expressed as: P = 2 * (7x + 1 + x - 3)
Now, let's simplify this expression: P = 2 * (8x - 2)
P = 16x - 4
Therefore, the simplified expression for the perimeter of the rectangle is 16x - 4.
A rectangle is a type of quadrilateral with specific properties that distinguish it from other shapes. Here are some key properties of a rectangle:
Opposite Sides are Equal in Length: In a rectangle, the opposite sides are always equal in length. This means that the length of one pair of parallel sides is the same as the length of the other pair.
Opposite Angles are Equal: The opposite angles in a rectangle are equal in measure. This property makes all angles in a rectangle right angles (90 degrees).
Consecutive Angles are Supplementary: Consecutive angles in a rectangle are supplementary, meaning that the sum of any two consecutive angles is 180 degrees. This property is a consequence of the fact that opposite angles are equal, making each pair of consecutive angles form a linear pair.
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A rectangles length is 6 units greater than its width. Write an equation expressing the rectangles area, A, as a function of W
Answer:
A = W² + 6W
Step-by-step explanation:
The width is W.
The length is 6 units greater than the width, so the length is W + 6.
The area is the product of the length and width.
A = (W + 6)W
A = W² + 6W
Can someone help me with this please?
Type your answers into the boxes.
The ratio of men to women in a gym is 7 : 5
What fraction of the gym members are women?
Answer:
[tex] \frac{5}{12} [/tex]
Step-by-step explanation:
[tex] \frac{5}{7 + 5} [/tex]
I'm not sure about the answer. Sorry if it's wrong.
Write an
equation in slope intercept form y = mx +b.
6) slope = 4, y-intercept = -3
Answer:
y = 4x - 3
Step-by-step explanation:
Slope intercept form is made up of these components:
y = outputm = slopex = inputb = y-interceptThe question gives you the slope and the y-intercept. Now all you need to do is substitute the values for the variables. Therefore, the equation is y = 4x - 3.
power set of MIRACLE
Answer:
The Kathryn Kuhlman Miracle Box Set is a captivating collection of 3 truly heart-warming essentials that will rejuvenate your faith; giving you a sense of hope that you may have never felt before. The three wonderful books are titled I Believe in Miracles, Nothing Is Impossible with God and God Can Do It Again. This collection of books allows you to experience the magnificent power of Kathryn's miracle services. Through the power of God Kathryn helped to heal people all over the world in what seemed hopeless situations, inspiring readers to believe that you too can be healed by the almighty power of God.
How do you calculate frequency? If there are 138 bright white phones out of 1301 total phones, how do I calculate the frequency?
300000000000000000000000
x/3=y/8=z/5 và 2x+3y-z=50
Step-by-step explanation:
z = 5y/8
x = 3y/8
2x + 3y - z = 50
6y/8 + 3y - 5y/8 = 50
6y/8 + 24y/8 - 5y/8 = 50
25y/8 = 50
25y = 400
y = 16
x = 3y/8 = 3×16/8 = 3×2 = 6
z = 5y/8 = 5×16/8 = 5×2 = 10
What is the following difference?
230 192ab -5 V81365
Phương trình vi phân y'' - 2y' -3y =0 có nghiệm tổng quát là ?
Answer:
y = c1 e^-x + c2 e^(3x)
Step-by-step explanation:
Review linear DE's
(D-3)(D+1)y = 0
Write an equation of the line below.
Answer:
y=x
Step-by-step explanation:
yep
that is the answer
Se hizo un estudio entre los estudiantes de Licenciatura en ingeniería de software y sistemas computacionales, a 40 de estos estudiantes se les pidió que estimen el número de horas que habrían dedicado a estudiar la semana pasada (tanto en clase como fuera de ella), obteniéndose los siguientes resultados:
A store sells cheese in half a pound package a recipe calls fpr 1.72 pound of cheese how many packages does the chef need
Answer:
4 packages
Step-by-step explanation:
Since the store sells by 1/2 packages, we have to round 1.72 UP to 2.00. Then we multiply 1/2pound by 4= 2.00 pounds
The students at a school assembly
were divided into 4 equal groups.
There were 73 students in each
group. Write and solve an equation
to determine the number of students
that were at the assembly.
Answer:
292
Step-by-step explanation:
73 students in 1 group
4 groups all together
73 Students times 4 groups = amount of students all together
so 73x4=292
14. The cost of 10 dozen of caps is Rs.800. How many caps can bebought for Rs.200.
Answer:
Step-by-step explanation:
10 dozen is equal to 120 so ratio is 800/120 or 80/12
same ration on the other side but 200/x.Cross multiply and u get 3
A group of friends in Chicago watched a televised bullfight. They ordered 3 pizzas ($15 each), 15 drinks ($1.50 each), and 6 large nachos ($5.80 each). After adding 5% and a 20% tip to the total, what did they pay for the food? (The tip is 20% of the total before the tax is added) around the answer to the nearest while cent
Answer:
$127.875
Step-by-step explanation:
cost of 3 pizzas= $15*3
cost of 3 pizzas=$45
cost of 15 drinks=$1.50*15
cost of 15 drinks=$22.5
cost of 6 nachos=$5.80*6
cost of 6 nachos=$34.8
Total cost = pizza cost+ drinks+nachos
total cost=$45+$22.5+$34.8
total cost=$102.3
Now ,
Tip cost=$102.3*20%
=$20.46
tex cost=$102.3*5%
=$5.115
Bill which all friends pay=total cost+ tip cost+tex cost
= $102.3+$20.46+$5.115
=$127.875
which graph should Mr.Salinas use to presentation to the city council and why?
Answer:
The Salinas Plan
The Salinas Plan is a Ten-Year Plan designed to provide the City with a path forward on maintaining a long-term balanced budget while preserving City services and addressing the affordable housing crisis. The Salinas Plan may be found here.
The Salinas Plan Story
The Salinas Plan was presented to the City Council by representatives of the National Resource Network on December 4, 2018. The Salinas Plan represented over a year of work analyzing the City's fiscal situation and current housing policies. The Salinas Plan presented the following key findings:
- The City of Salinas is on a fiscally unsustainable path. While the City's revenues are growing at 2.4% per year, expenditures are growing at 2.9% per year.
Step-by-step explanation:
Write this as an algebraic expression:
You have $100 and make $25 a day
Answer:
25d + 100
Step-by-step explanation:
I will call "d" the days passed
25d + 100
Martina took a train to the bullfight. It traveled 544 km nonstop in 8.5 hours to get there. If the train moved at a steady speed, what was the rate of speed
Answer:
64 km per hour
Step-by-step explanation:
544/8.5=64
A. 0
B. Nonexistent
C. 1
D. -1
Answer:
[tex]\displaystyle \lim_{x\rightarrow 0^{+}} \frac{x\ln x}{\tan x}=-\infty\implies \text{B. Nonexistent (best answer)}[/tex]
Step-by-step explanation:
Recall L'Hopital's rule:
[tex]\displaystyle \lim_{x\rightarrow c}\frac{f(x)}{g(x)}=\lim_{x\rightarrow c}\frac{f'(x)}{g'(x)}[/tex]
First derivative of [tex]x\ln x[/tex]:
Recall the product rule:
[tex](f\cdot g)'=f'\cdot g+g'\cdot f[/tex]
[tex]\displaystyle \frac{d}{dx} (x\ln x)=\frac{d}{dx}(x)\cdot \ln (x)+\frac{d}{dx}(\ln x)\cdot x[/tex]
Note that:
[tex]\displaystyle \frac{d}{dx}(x)=1,\\\frac{d}{dx}(\ln (x))=\frac{1}{x}[/tex]
Simplifying, we get:
[tex]\displaystyle \frac{d}{dx} (x\ln x)=1\cdot \ln x+\frac{1}{x}\cdot x,\\\frac{d}{dx}(x\ln x)=\ln x+1[/tex]
First derivative of [tex]\tan x[/tex]:
[tex]\displaystyle \frac{d}{dx}(\tan x)=\sec^2 x[/tex]
Therefore, we have:
[tex]\displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=\lim_{x\rightarrow 0^{+}}\frac{\ln x+1}{\sec^2{x}}[/tex]
By definition, [tex]\cos x=\frac{1}{\sec x}[/tex]. Therefore,
[tex]\displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=\lim_{x\rightarrow 0^{+}}\frac{\ln x+1}{\sec^2{x}}=\lim_{x\rightarrow 0^{+}}\cos^2x(\ln x+1)[/tex]
Note:
[tex]\displaystyle \lim_{x\rightarrow 0^{+}}\cos^2x=1,\\\lim_{x\rightarrow 0^{+}}\ln x+1=-\infty[/tex]
Substitute:
[tex]\displaystyle \lim_{x \rightarrow0^{+}} \cos^2x(\ln x+1)=1\cdot (-\infty)=-\infty[/tex]
Therefore, we have:
[tex]\displaystyle \lim _{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=-\infty \text{}[/tex], which best corresponds with [tex]\boxed{\text{B. Nonexistent}}[/tex]
*Commentary:
Technically speaking, a limit exists only if it is equal to a real number. By proper definition, infinity is not a number. With that being said, you will see limits expressed as infinity or negative infinity.
Here's what I will say about this specific problem.
The problem is stipulating that we approach [tex]x[/tex] from the right side. Because of this condition, it may be unorthodox to say this limit doesn't exist. However, if the problem just asked for [tex]\displaystyle \lim_{x\rightarrow 0}\frac{x\ln x}{\tan x}[/tex], it is common and preferred to say this limit does not exist, since [tex]\displaystyle \lim_{x\rightarrow 0^{-}}\frac{x\ln x}{\tan x}\neq \displaystyle \lim_{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}[/tex].
For example, [tex]\displaystyle \lim_{x\rightarrow 0}\frac{1}{x}=\text{DNE}[/tex], because [tex]\displaystyle \lim_{x\rightarrow 0}\frac{1}{x}[/tex] diverges. In other words, [tex]\displaystyle \lim_{x\rightarrow 0^{-}}\frac{1}{x}=-\infty \neq \displaystyle \lim_{x\rightarrow 0^{+}}\frac{1}{x}=\infty[/tex].
But again, the problem is asking for the limit as [tex]x[/tex] approaches from the right, in which case [tex]\displaystyle \lim _{x\rightarrow 0^{+}}\frac{x\ln x}{\tan x}=-\infty }[/tex]. It's really a pedagogical choice whether to say a limit equal to infinity or negative infinity exists or not since infinity implies there is no limit, so saying the limit of something is infinity becomes an oxymoron. In this case, the person who wrote the answer choices chose to express a limit of infinity as nonexistent, but it is worth mentioning that someone else solving this problem might express [tex]-\infty[/tex] as the answer, and they would be just as, if not more, correct.
Without resorting to L'Hopital's rule, recall that
[tex]\displaystyle \lim_{x\to0}\frac{\sin(ax)}{ax} = 1[/tex]
for a ≠ 0. Then
[tex]\displaystyle \lim_{x\to0^+} \frac{x \ln(x)}{\tan(x)} = \lim_{x\to0^+}\frac x{\sin(x)} \times \lim_{x\to0^+}\cos(x) \times \lim_{x\to0^+}\ln(x)[/tex]
The first two limits exist and are equal to 1, but the last limit is -∞.
Write a simplified expression, in terms of y, for both area and perimeter of the triangle below
Answer:
Area: [tex]27y^{3} -24y^{2}[/tex]
Perimeter: [tex]6y^{2} +7y+5[/tex]
Step-by-step explanation:
Area:
[tex]\frac{1}{2}[/tex] x base x height
[tex]6y^{2} (\frac{1}{2} )(9y-8)\\3y^{2} (9y-8)\\27y^{3} -24y^{2}[/tex]
Perimeter:
[tex]6y^{2} +4y+(3y+5)\\6y^{2} +7y+5[/tex]
a meayerologist at television station reported that a town received 0.90 inches of rain. Which fraction is equivalent to this amount of rain in inches?
Answer:
9/10
Step-by-step explanation:
0.90 = 0.9 = 90/100 = 9/10
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-Chetan K
Formula to find perimeter of rectangle
Hey there!
The formula to find the perimeter of a rectangle is "P=2(l+w)".
Hope this helps!
Have a great day! :)
Answer:
formula to find the perimeter of rectangle is
2(l+b)hope it helps
stay safe healthy and happy.
I need help explaining, this homeschool work so hard!!
Answer:
61
Step-by-step explanation:
(7 + 5) + 4 * 13 - 2
~Simplify using PEMDAS
12 + 4 * 13 - 2
12 + 52 - 3
64 - 3
61
Best of Luck~
