PLS HELP : D Each new triangle shown below has one more dot per side than the previous triangle. What is the total number of dots on the 200th triangle of this sequence?
Answers
Hey there!
Let's look for some patterns here.
In the first triangle, we see that there are six dots in total.
In the second triangle, there are nine dots in total.
And, for the third one, we see that there are 12 dots in total.
So, we see that it is counting up by threes because there is one more added to each side.
This is an arithmetic sequence, which means that there is a pattern of adding or subtracting from a base over and over again. There is a specific formula for calculating a certain term in a sequence and you can find proofs of it out there on the internet, but here is the formula.
To find a certain number in a sequence (in our case, 200), you
STEP 1: Take that certain number and subtract 1
200-1=199
STEP 2: You multiply this by the common difference, which is what you add or subtract to make the series. Since we keep on adding 3, our common difference is 3.
199×3=597
STEP 3: You add the first term in the series. In our case, this is the number of dots on the first triangle, which is six.
597+6=603
Therefore, the total number of dots on the 200th triangle of this sequence is 603 dots.
Now you can find a certain term in an arithmetic sequence! Have a wonderful day! :D
Related Questions
The temperature at noon is -4 degrees Celsius. The temperature at 6:00pm is -12 degrees Celsius. What is the difference between the noon and the 6:00pm temperatures?
Answers
Answer: -8 degrees
Step-by-step explanation: 12-4 is 8 so the difference is -8
which expression below would not be equivalent to 12n+ 6
1) 3(4n+2)
2) 2(6n+3)
3) 6(2n+1
4)12 (n +4)
Answers
Answer:
4)12(n+4)
=12n+48
Step-by-step explanation:
Answer:
4) 12(n + 4) = 12n + 48
Step-by-step explanation:
ten times a number increased by eighty four equals 194. what is the number
Answers
Answer: x = 11
Step-by-step explanation:
10x+84=194
10x = "10 times a number"
+84 = "increased by eighty four"
=194 = "equals 194"
10x+84=194
Subtract 84
10x = 110
Divide by 10
x = 11
Hope it helps <3
Answer:
The number is 11
Step-by-step explanation:
Represent the number by n.
Then: 10n + 84 = 194.
Subtracting 84 from both sides, we get: 10n = 110, and so:
n = 110/10 = 11
Estimate the solution to the system of equations.
Answers
Answer:
Find it in the explanation
Step-by-step explanation:
Equate the two solutions.
2x+3y=6 is exactly half of -4x+3y=12, so multiply 2x+3y=6 by 2.
Now we get
4x+6y=12 and
-4x+3y=12
Here what operation you use is your choice, but because I see a positive 4x and a negative 4x down below, I'm gonna use addition to cancel out the x.
Adding these two equations together, I get:
9y=24
y=24/9
in fraction form y= 2 and 2 thirds.
Plug that in any of the equations and solve for the value of x, which will be -1
Therefore, the coordinates are (-1, 2 and 2/3)
Answer:
The answer is x= -1/2 and y= 7/3 or 2whole 1/3.
hope it helps..
In the circle below, O is the center, MP is a diameter, and mZMOL = 60°. Find the measure of LNM.
Answers
Answer:
30°
Step-by-step explanation:
Hey, srry for the inaccurate sketch
I hope you will understand the way I solved it
If not, don't hesitate to ask questions ;)
What is the arithmetic mean of the following numbers? 6 , 4 , 1 , 9 , 3 , 8 , 3 , 5 , 10
Answers
Answer:
5.4Step-by-step explanation
First find the mean of the numbers which you do by adding the numbers all together and then you will get 49.Then you have to divide 49 by the amount of numbers there are so there are 9 numbers so you do 49 ÷ 9 and you will get 5.4.Answer = 5.4The arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4
What is arithmetic mean?The arithmetic mean is the quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.
According to the given question we have
A data set 6, 4, 1, 9, 3, 8, 3, 5, 10
The total numbers in the given data set is 9
Therefore, the arithmetic mean of the given data set is given by
Arithmetic mean = [tex]\frac{6 +4+1+9+3+8+3+5+10}{9}[/tex]
⇒ Arithmetic mean = [tex]\frac{49}{9}[/tex]
⇒ Arithmetic mean = 5.4
Hence, the arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4
Learn more about arithmetic mean here:
https://brainly.com/question/13000783
#SPJ2
Which equation could generate the curve in the graph below?
Answers
Answer:
The answer is option 1.
Step-by-step explanation:
In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).
Option 1,
[tex]y = 3 {x}^{2} - 2x + 1[/tex]
[tex]D = {( - 2)}^{2} - 4(3)(1)[/tex]
[tex]D = - 8[/tex]
[tex]D < 0[/tex]
Option 2,
[tex]y = 3 {x}^{2} - 6x + 3[/tex]
[tex]D = {( - 6)}^{2} - 4(3)(3)[/tex]
[tex]D = 0[/tex]
Option 3,
[tex]y = 3 {x}^{2} - 7x + 1[/tex]
[tex]D = {( - 7)}^{2} - 4(3)(1)[/tex]
[tex]D = 37[/tex]
[tex]D > 0[/tex]
Option 4,
[tex]y = 3 {x}^{2} - 4x - 2[/tex]
[tex]D = {( - 4)}^{2} - 4(3)( - 2)[/tex]
[tex]D = 40[/tex]
[tex]D > 0[/tex]
As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.
The given curve in the graph is generated by the equation y =3x² - 2x +1. The correct option is A.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercepts).
Option 1,
y =3x² - 2x +1
D = b² - 4ac
D = ( -2 )² - ( 4 x 3 x 1 )
D = 4 - 12
D = -6
D < 0
To know more about coordinate geometry follow
https://brainly.com/question/6941371
#SPJ2
Find the value of 3[tex]\sqrt{x}[/tex] + 7 if x = 25.
Answers
Answer:
The answer is
22Step-by-step explanation:
3√x + 7
x = 25
Substitute the value of x into the expression
That's
3(√25) + 7
√25 = 5
So we have
3(5) + 7
= 15 + 7
= 22Hope this helps you
Answer:
22
Step-by-step explanation:
3 + 7 if x = 25.
3/25+7
3x5+7 multiply
15+7 calculate
solution =22
got it right on the test!
Which set of ratios could be used to determine if one triangle is a dilation of the other? A triangle has side lengths of 4, 6, 8.5. A second triangle has side lengths of 6, 9, 12.5. StartFraction 4 Over 6 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 6 Over 4 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 9 Over 6 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 8.5 Over 9 EndFraction = StartFraction 6 Over 12.5 EndFraction
Answers
Answer:
[tex]\frac{4}{6}[/tex] = [tex]\frac{6}{9}[/tex] = [tex]\frac{8.5}{12.5}[/tex]
Step-by-step explanation:
The set of ratios must have numerators coming from the same triangle and denominators coming from the same triangle. The other set of ratios have some numerators coming from both triangles and/or denominators coming from both triangles.
Answer:
A
Step-by-step explanation:
WILL MARK BRAINLIEST Beth has a graph to represent her distance when she runs 5 miles per hour. What would the point (2, 10) mean on her graph? Explain what this graph might look like.
Answers
Answer:
Ok so you have to find how much it goes up at a time. So the first one is 1,5. Then multiply both by 5 to get 5,25. That is your answer then. The graph will have 5 on the bottom and 25 on the side.
Step-by-step explanation:
Determine if the statement is always, sometimes or never true. The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle. always
Answers
Answer:
I believe it is never
Step-by-step explanation:
Sorry if I'm wrong ...
Select the correct answer from each drop-down menu. At a business conference, there were 10 social workers, 16 doctors, 5 lawyers, and 2 journalists. If a person is picked at random from the entire group, it is to be/likely/unlikey/niether. be a lawyer, and it is to be a doctor.
Answers
Answer:
If a person is picked at random from the entire group, it is
unlikely
to be a lawyer, and it is.....
Unlikely was right but likely was wrong
Step-by-step explanation:
I honestly don't know the answer and that the person above me makes no sense.
he said "If a person is picked at random from the entire group, it is
unlikely
to be a lawyer, and it is.....
Unlikely was right but likely was wrong
WHAT IS THE ANSWER TO THE DOCTOR PART???
umm i dont know why i am getting a different answer from the ones that are listed plz help
Answers
Answer:
A. 5 : 3
Step-by-step explanation:
Number of blue cups : Number of red cups
10 : 6
Divide to the lowest terms
10 ÷ 2 : 6 ÷2
5 : 3
Answer:
The answer is A
Step-by-step explanation:
The ratio of blue cups to red cups is 10:6 you can figure this out by counting how many blue cups there are and how many red cups there are.
Now that you have your ratio of 10:6 which means for every 10 blue cups there will be 6 red cups. You can work with this and find equivalent ratios by multiplying or dividing. In this case you would have to divide in half to find the ratio 5:3
Hope this helps!
a hummingbird flies forward 149 meters backward 57 meters and forward 23 meters write an equation that can be used to find how far forward the hummingbird flew.
Please help due today
Answers
Answer:
X=149-57+23
Step-by-step explanation:
X=149-57+23
Answer:
distance = 149 -57 +23
(-) is backward
(+) is forward
Two kinds of fish can be found in a small tank. The blue fish is two fifthteenths feet long and the orange fish is seven tenths feet long. How much longer is the orange fish?
Answers
Answer:17/30
Step-by-step explanation:
You have 2/15 and 7/10. You have to find a common denominator. I used 30. Multiply 2/15 by 2/2 and 7/10 by 3/3 to get 4/30 and 21/30. Then solve this equation: 21/30-4/30. The answer is the answer to the problem.
What is the value of log,(5)1252
3
5
15
25
Answers
What’s the slope for this graphed?
A.5
B.1/3
C.2
D.3
Answers
A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chair. If he paid a total of $663 for the 6 sets, the cost of each table is
$
.
Answers
Answer:
c
Step-by-step explanation:
Answer:
$62
Step-by-step explanation:
Use DeMoivre's Theorem to find the following. Write your answer in
standard form.
Answers
Answer:
Option C.
Step-by-step explanation:
The given expression is
[tex]\left(\sqrt{2}cis \dfrac{9\pi}{20}\right)^5[/tex]
It can be rewritten as
[tex]\left(\sqrt{2}\cos \dfrac{9\pi}{20}+i\sin\dfrac{9\pi}{20}\right)^5[/tex]
According to De moivre's Theorem:
[tex][r(\cos\theta+i\sin \theta)]^n=r^n(\cos n\theta +i\sin n\theta)[/tex]
Using De moivre's Theorem, we get
[tex](\sqrt{2})^5\left(\cos \dfrac{9\pi\times 5}{20}+i\sin\dfrac{9\pi\times 5}{20}\right)[/tex]
[tex]=4\sqrt{2}\left(\cos \dfrac{9\pi}{4}+i\sin\dfrac{9\pi}{4}\right)[/tex]
[tex]=4\sqrt{2}\left(\cos (2\pi +\dfrac{\pi}{4})+i\sin (2\pi+\dfrac{\pi}{4})\right)[/tex]
[tex]=4\sqrt{2}\left(\cos \dfrac{\pi}{4}+i\sin \dfrac{\pi}{4}\right)[/tex]
[tex]=4\sqrt{2}\left(\dfrac{1}{\sqrt{2}}+i\dfrac{1}{\sqrt{2}}\right)[/tex]
[tex]=4+4i[/tex]
Therefore, the correct option is C.
In the circle below, O is the center, MP is a diameter, and m angle POL = 85º. Find the measure of LNP.
Answers
Answer:170
Step-by-step explanation:
The measure of angle LNP is 275 degrees.
What is the inscribed angle theorem?The inscribed angle theorem says that an inscribed angle is half the intercepted arc measure.
In the circle below, O is the center, MP is the diameter, and mangle POL = 85º.
The measure of angle LNP is determined in the following steps given below.
[tex]\rm \angle LNP=360-\angle POL\\\\ \angle LNP=360-85\\\\ \angle LNP=275[/tex]
Hence, the measure of angle LNP is 275 degrees.
Learn more about the inscribed angle theorem here;
https://brainly.com/question/21506400
#SPJ2
Consider points a, b, and c in the graph. Which point is the global maximum? Question 6 options: A) b B) c C) None of these D)
Answers
Answer:
point a is the maximum
Step-by-step explanation:I took the test
What is the remainder in the synthetic division problem below?
O A. 5
O B. 9
O O. 3
O D. 7
Answers
Answer:
The answer is option D.
I hope it's what you require.
Answer:
D) 7
Step-by-step explanation:
1 / 4 6 -3
4 10
4 10 7
Step 1: Carry down the first number 4 as it is
Step 2: Multiply 4 by 1 [4 * 1 = 4] and write down this 4 under the next number 6 and then add. 6 + 4 = 10
Step 3: Multiply 10 by 1 [10 * 1 = 10] and write down this 10 under the next number -3 and then add. -3 + 10 = 7
And now 7 is the remainder
What is the area, in square centimeters of the trapezoid below?
Answers
Answer:
68.8cm^2
Step-by-step explanation:
A trapezoid=h/2(b1+b2)
A trapezoid=6.4/2(12.9+8.6)
A trapezoid=3.2(21.5)
A trapezoid=68.8cm^2
No explanation needed answer fast TY
Answers
Answer:
50.24
Step-by-step explanation:
The first step is to find the area of it if it was a whole circle
you get this by squaring the radius
8*8 or 8^2= 64
then, you have to multiply it by 3.14 which gives you
200.96.
Then divide it by 4 to get a quarter of the circle to get the final answer
50.24
Hope this helps, if it does, please give me brainliest, it will help a lot :)
Have a good day
Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
Answers
Answer:
Options?
Step-by-step explanation:
Answer:
3.7 meters
Step-by-step explanation:
Triangle DEF will be rotated 180° clockwise. Where will D’ be located?
a. (4, -7)
b. (-4, -7)
c. (-7, 4)
d. (-7, -4)
Answers
Answer:
a. (4, -7)
Step-by-step explanation:
Point D is at (-4,7).
Rule for a 180° rotation clockwise around the origin:
[tex](x,y)\rightarrow(-x,-y)[/tex]
Apply the rule to point D:
[tex](-4,7)\rightarrow(4,-7)\\\\\left \{ {{-4*-1=4} \atop {7*-1=-7}} \right.[/tex]
Option A should be the correct answer.
Brainilest Appreciated.
Answer:
a. (4, -7)
Step-by-step explanation:
PLZ ANSWER If the graph of the equation y=(x+2)^2 is reflected with respect to the y-axis, what is the equation of the resulting graph?
Answers
Answer:
y=(x-2)^2
Step-by-step explanation:
just simply change the sign.
The Goodsmell perfume producing company has a new line of perfume and is
designing a new bottle for it. Because of the expense of the glass required to
make the bottle, the surface area must be less than 150 cm2. The company also
wants the bottle to hold at least 100mL of perfume. The design under
consideration is in the shape of a cylinder.
Determine the maximum volume possible for a cylindrical bottle that has a total
surface area of less than 150 cm2. Determine the volume to the nearest 10mL.
Report the dimensions of the bottle and the corresponding surface area and
volume.
PLEASE WILL MARK BRAINLIEST
Answers
Given:
It is given that surface area must be less than 150 cm².
Solution:
The Maximum Volume With Total Surface Area Less than 150 cm² is shown in the table.
From the table, it can be concluded that for r=3.00 cm and h=4.95 cm the surface area will be less than 150 cm² and the volume will be the maximum.
[tex]S=2\pi rh+2\pi r^2\\S=2\pi (3)(7.95)+2\pi3^2\\S=93.3+56.5\\S=149.8 \text{ cm}^2[/tex]
Calculate the volume.
[tex]V=\pi r^2h\\V=\pi(3)^2(4.95)\\V=139.96[/tex]
Hence, the required dimensions are r=3.00 cm and h=4.95 cm.
Image attached: some sort of triangle stuff
Answers
Answer:
C
Step-by-step explanation:
On edg 2020
according to a recent study the probability that a randomly selected individual wears glasses is 0.23. suppose you ask a random sample of 18 individuals if they wear glasses and count the total. how many individuals out of 18 would you expect to wear glasses, on average?
Answers
Answer:
4
Step-by-step explanation: 18x.23 = 4.14
Answer:
4
Step-by-step explanation: