Which of the following is most likely the next step in the series? o O A. o o OB. O c. D.
Answers
=====================================================
Explanation:
The number of points goes down by 1 each time.
The first figure has 4 points on the circle. The second figure has 3 points, and after that is 2 points. So the fourth figure is mostly likely to have 1 point on the circle.
The next step in the circular series is Option C with a point on the circle
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the first figure be represented as A
A = figure with a rectangle with 4 points on the circle
Let the second figure be represented as B
B = figure with a triangle with 3 points on the circle
Let the third figure be represented as C
C = figure with a line with 2 points on the circle
Let the next series be represented as D
where D should have only 1 point on the circle
Hence , the figure is Option C with a point on circle
To learn more about circle click :
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Related Questions
Brenda received $25 for babysitting for 3 hours. If she is paid proportionally, how much should she get for 7.5 hours?
Answers
Answer:
$187.5
Step-by-step explanation:
25 times 7.5 is 187.7
To make fruit salad,Maria bought 2 1/4 pounds of apples,and 1 1/3 pounds.How much fruit salad did this make
Answers
Answer:
If this was all the fruit, 3 and 7/12
Step-by-step explanation:
1/4 and 1/3 LCM is 12
1/4=3/12
1/3=4/12
2+1=3
3/12+4/12=7/12
3+7/12= 3 7/12
Evaluate the limit with either L'Hôpital's rule or previously learned methods.lim Sin(x)- Tan(x)/ x^3x → 0
Answers
Answer:
[tex]\dfrac{-1}{6}[/tex]
Step-by-step explanation:
Given the limit of a function expressed as [tex]\lim_{ x\to \ 0} \dfrac{sin(x)-tan(x)}{x^3}[/tex], to evaluate the following steps must be carried out.
Step 1: substitute x = 0 into the function
[tex]= \dfrac{sin(0)-tan(0)}{0^3}\\= \frac{0}{0} (indeterminate)[/tex]
Step 2: Apply L'Hôpital's rule, by differentiating the numerator and denominator of the function
[tex]= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ sin(x)-tan(x)]}{\frac{d}{dx} (x^3)}\\= \lim_{ x\to \ 0} \dfrac{cos(x)-sec^2(x)}{3x^2}\\[/tex]
Step 3: substitute x = 0 into the resulting function
[tex]= \dfrac{cos(0)-sec^2(0)}{3(0)^2}\\= \frac{1-1}{0}\\= \frac{0}{0} (ind)[/tex]
Step 4: Apply L'Hôpital's rule, by differentiating the numerator and denominator of the resulting function in step 2
[tex]= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ cos(x)-sec^2(x)]}{\frac{d}{dx} (3x^2)}\\= \lim_{ x\to \ 0} \dfrac{-sin(x)-2sec^2(x)tan(x)}{6x}\\[/tex]
[tex]= \dfrac{-sin(0)-2sec^2(0)tan(0)}{6(0)}\\= \frac{0}{0} (ind)[/tex]
Step 6: Apply L'Hôpital's rule, by differentiating the numerator and denominator of the resulting function in step 4
[tex]= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ -sin(x)-2sec^2(x)tan(x)]}{\frac{d}{dx} (6x)}\\= \lim_{ x\to \ 0} \dfrac{[ -cos(x)-2(sec^2(x)sec^2(x)+2sec^2(x)tan(x)tan(x)]}{6}\\\\= \lim_{ x\to \ 0} \dfrac{[ -cos(x)-2(sec^4(x)+2sec^2(x)tan^2(x)]}{6}\\[/tex]
Step 7: substitute x = 0 into the resulting function in step 6
[tex]= \dfrac{[ -cos(0)-2(sec^4(0)+2sec^2(0)tan^2(0)]}{6}\\\\= \dfrac{-1-2(0)}{6} \\= \dfrac{-1}{6}[/tex]
Hence the limit of the function [tex]\lim_{ x\to \ 0} \dfrac{sin(x)-tan(x)}{x^3} \ is \ \dfrac{-1}{6}[/tex].
The sum of two even consecutive integers is 114. What is the smallest integer?
Answers
Answer:
56
Step-by-step explanation:
The sum of two even consecutive integers is 114.
Let's let the first even integer be 2n, where n is some integer: it doesn't matter what n is, but if we multiply n by 2, we are certainly getting an even number. This is because any integer multiplied by 2 is even.
So, this means that the second number is 2n+2.
Their sum is 114. In other words:
[tex](2n)+(2n+2)=114[/tex]
Solve for n.
Combine like terms:
[tex]4n+2=114[/tex]
Subtract 2 from both sides:
[tex]4n=112[/tex]
Divide both sides by 4:
[tex]n=28[/tex]
So, n is 28.
This means that the first number is 28(2) or 56.
And the second number is 58.
So, the smallest integer is 56.
And we're done!
Help i dont understand this someone help me pls :(
Answers
Answer:
X=7
Step-by-step explanation:
(2) means time 2 so use 5 times 2 and get 10 and take away 3 you get 7 and 7 is X
to prove I am right use 7x5-3/2=16-3x2=10
hey bro I was joking at first
Answer:
f(2) = 5(2) -3
10 - 3
f(2) = 7
Petra is making necklaces to sell at craft. the hardware for each necklace is 3.75 and each bead costs 0.50. The number of beads Petra needs depends on the design she chooses. which expression gives the total cost to make 30 necklaces.
Answers
Answer:
T=112.5+0.50*b (since there was not a given number of beads)
A recipe for chocolate chip cookies calls for 2 2/3 cups of flour. If you are making 1 1/4 recipes how many cups of flour are needed
Answers
The ratio is (8/3 cups of flour : 1 batch or recipe)
In order to make 1 1/4 recipes you have to multiply the 1 by 1 1/4. But then in order to keep the ratio equivalent, you also have to multiply the other side by the same number.
what is 3.825 as a fraction with a guide?
Answers
Answer:
153/40
Step-by-step explanation:
The first step to finding the fraction is to get rid of the decimal points as fractions do not have decimals. To do this we can multiply it by 1000 which gives us 3825. To have this equal to the original number we add ÷1000 on the denominator which gives us 3825/1000 which is a fraction still equal to the original number (3825÷1000=3.825). Which can further be simplified to 153/40 (both numbers divisible by 25). This is the simplest fraction which can express the number 3.825 (153/40=3.825).
Hope this helped!
Explain why the graph of the equation g(x) = -(x + 1 ) - 3 would be a parabola opening downward.
Answers
Answer: Because the a-value is negative.
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
"a" is the vertical stretch-a is a reflection over the x-axish is the horizontal shift (positive = right, negative = left)k is the vertical shift (positive = up, negative = down)Given: g(x) = - (x + 1)² - 3
↓
a= -1
Since the a-value is negative, the parabola will be reflected over the x-axis which will change the curve from (U-shaped) to (∩-shaped).
Can you please please help me with this please it’s so hard and i will give you a branlist
Answers
Simplify. Please provide steps on how to solve so I can learn.
Answers
Answer: Choice C
[tex](xy)^{1/2}[/tex] which is equivalent to [tex]\sqrt{xy}[/tex]
===============================================
Explanation:
The exponent for the y term inside the parenthesis is 1/6 and then that expression is raised to the 3rd power. The exponents multiply to (1/6)*3 = 3/6 = 1/2
This means [tex]\left(y^{1/6}\right)^3 = y^{1/2}[/tex]
Having an exponent of 1/2 is the same as applying the square root, so,
[tex]\sqrt{x} = x^{1/2}[/tex]
Meaning,
[tex]y^{1/2}\sqrt{x} = y^{1/2}x^{1/2} = (xy)^{1/2} = \sqrt{xy}[/tex]
Use the graph to find the slope. What is the runners speed?
Answers
The formula for the slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{20-10}{2-1}[/tex]
[tex]m=\frac{10}{1}[/tex]
[tex]m=10[/tex]
Hope this helps.
頑張って!
Answer:
The answer is 10 minutes per mile!
Step-by-step explanation:
I hope this helped! :)
Which of state of matter has no definite shape but does have a definite volume? (A) Liquid B) Element OC) Solid OD) Gas
Answers
Answer:
Liquid
Step-by-step explanation:
solids :have definite shape and definite volume.
Liquids :have definite volume and shape of the container.(or no definite shape)
Gas: has no definite volume and no definite shape.
a regular polygon of 2 k + 1 sides has 140 as
size of each interior angle find K
Answers
What’s the perimeter of the tabletop in feet?
Answers
Answer:
Perimeter = 14.0942 ft (aprox)
Step-by-step explanation:
1 ft = 12 inches
1 inch = 1/12 = 0.08333 ft
4 inch = 4*0.08333 = 0.3333 ft
then:
there are:
4 quarters of circle = 4/4 = 1 complete circleperimeter = 2π r
π = 3.1416
r = radius
perimeter = 2*3.1416*0.3333ft
perimeter = 2.0942 ft (aprox)
4 sides (3ft each)perimeter = 4*3ft
perimeter = 12ft
Total perimeter:
2.0942ft +´12ft = 14.0942 ft
I need help with these questions
Answers
Answer:
28. m<A=20°, m<B=70°
32. m<A=103°, m<B=77°
Step-by-step explanation:
complementary angle=a+b=90°
supplementary angle=a+b=180°
28. A+B=90°
5x+17x+2=90°
22x+2=90°
22x=90-2
22x=88
22x/22=88/22
x=88/22=4
m<A=5x=5*4=20°
m<B=17x+2=17*4+2=68+2=70°
Check
A+B=90°
20+70=90°
90°=90°
32. A+B=180°
x+11+x-15=180°
2x-4=180°
2x=180+4
2x=184
2x/2=184/2
x=184/2
x=92
m<A=x+11=92+11=103°
m<B=x-15=92-15=77°
Check
A+B=180°
103+77=180°
180°=180°
In a class of 50 statistics students, 27
students received an A. What fraction of the class received an A?
Answers
Answer:
Fraction of the number that received an A= = 27/50
Step-by-step explanation:
In a class of 50 statistics students, 27
students received an A.
Total number of students=50
Number that received an A= 27
Fraction of the number that received an A= Number that received an A/Total number of students
Fraction of the number that received an A= = 27/50
Derrick and Samantha are selling tickets for their school musical. Floor seats cost $7.50 and balcony seats cost $5.00. Samantha sells 60 floor seats and 70 balcony seats, Derrick sells 50 floor seats and 90 balcony seats. Write an expression to show how much money Samantha and Derrick have collected for tickets.
Answers
B(x) = $5.00x
F(x) = 7.50(90)
B(x) = 5.00(160)
$7.50(90) = $675
$5.00(160) = $800
Look at the correlation between Risk-Taking (R) and Relationship Happiness (HAPPY). Use the standard alpha level of 5%. How would you describe the relationship?
1. The relationship is non-significant.
2. There is a significant negative relationship.
3. There is a significant positive relationship.
4. The correlation is zero.
Answers
Image of the correlation between Risk-Taking (R) and Relationship Happiness (HAPPY) is missing, so i have attached it.
Answer:
Option 1 - The relationship is non - significant
Step-by-step explanation:
From the image attached, we can see that under the correlations table;
For correlation between relationship happiness and risk taking;
σ(sigma) = 0.053
Similarly, for correlation between risk taking and relationship happiness;
σ(sigma) = 0.053
.
Now,σ(sigma) = 0.053 is more than the standard alpha level of 5%(0.05). Thus, we fail to reject the null hypothesis since it is non - significant.
The point (0, –4) is located
Answers
I'm going to assume you're asking where the point is located on a coordinate plane.
We have x = 0 and y = -4.
So, we start at (0, 0) and move down 4 units.
Best of Luck!
PLEASE HELP ME
A map has a scale of
2 in. = 17 mi. If you measured the distance between two cities to
be 19 in. on the map, how many miles would it actually be?
If necessary, round your answer to the nearest tenth.
Answers
Answer:
161.5 miles
Step-by-step explanation:
19 inches is 9.5 times 2 inches. So, the actual distance is 9.5 times 17 miles:
9.5 × 17 miles = 161.5 miles
Find the value of the expression for the given values.
6x-2 for x = -2, x = 6, and x = -5
If x= - 2. then 6x - 2 =
If x = 6, then 6x - 2 =
If x= - 5. then 6x-2=
Answers
Answer:
If x= - 2. then 6x - 2 = -14
If x = 6, then 6x - 2 = 34
If x= - 5. then 6x-2= -32
Step-by-step explanation:
You have to substitute the value of x in the expression.
If x = -2,
6x-2 = 6*(-2) - 2 = -12-2 = -14
2 fraction bars. The first bar is labeled 1 with 8 boxes underneath that are labeled one-eighth. The second bar is labeled 1 with 8 boxes underneath that are labeled one-eighth. Use the drop-down menu to complete the statement. To find the quotient of 2 ÷ 3 8 , circle groups of ------
Answers
Answer:
1/3
Step-by-step explanation:
hope this helps
Answer:
It is 3/8
Step-by-step explanation:
I got it right on Edge 2021.
3/8 + 1/8 - 1/6 + 1/4 =
Answers
1/2+1/4=3/4 since denominator is 4 and numerator is (2*1)+(1*1)=3
3/4-1/6=7/12 since denominator is 12 and numerator is (3*3)-(2*1)=7
Final answer is 7/12
What is the volume of the cube shown?
6 3/4
11 25/64
30 3/8
8 1/64
Please help !
Answers
Answer:
11 25/64 in ^3
Step-by-step explanation:
Volume of a cube is given by
V = s^3
s = 2 1/4 = 9/4
V = (9/4) ^3
= 729/64
=11 25/64 in ^3
Fruit juice in 4/5 pint cartons is sold by the park in 5/6 pint mugs. How many mugs are in a carton?
Answers
Answer:
Number of mugs in cartoon = 24 / 25
Step-by-step explanation:
Given:
Pints of cartoon = 4/5
Pints of mugs = 5/6
Find:
Number of mugs in cartoon
Computation:
Number of mugs in cartoon = Pints of cartoon / Pints of mugs
Number of mugs in cartoon = (4/5) / (5/6)
Number of mugs in cartoon = 24 / 25
2/3 * 9 = ? PLEASE HELP
Answers
Answer:
6
Step-by-step explanation:
23^0 is equal to _____. 0 1 1/23 23
Answers
Answer:
1
Step-by-step explanation:
Anything to the power is 0 is equal to 1.
Answer:
the answer is 1
Step-by-step explanation:
The value of the digit 9 is ten times as much as the 9 in 893,417.
Answers
Answer: 943,212
Step-by-step explanation:
Suppose that you want to know the value of a given digit in a given number, where the digit is x.
Now, you should count the position of this digit, starting at the decimal point and counting to the left.
This position, a number n, will give the value of our digit as:
Value = x*10^(n-1)
in the number 893,417 the digit 9 is in the fifth place (counting from right to left).
Then the value of this 9 is:
9*10^(5 - 1) = 90,000
Now, if we want something ten times larger than this, we have:
N = 10*90,000 = 900,000
Now the 9 is in the sixth place, then we must find a number with a 9 in the sixth place, for example, 943,212.
Write 80% as a fraction in Simplest form
Answers
Answer:
Step-by-step explanation:
80/100 = 8/10= 4/5