Using an arithmetic sequence, it is found that 89 dots would be found in the 30th step.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
Researching the problem on the internet, it is found that the first step has 2 dots, the second has 5 dots, the third has 8 and so on, hence the first term is [tex]a_1 = 2[/tex] and the common difference is d = 3.
Then, the number of dots in the nth step is given by:
[tex]a_n = 2 + 3(n - 1)[/tex]
In the 30th step, the number will be given by:
[tex]a_{30} = 2 + 3(30 - 1) = 89[/tex]
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
Tell whether each number is rational or irrational.0.121121112....
graph the linear equation. find three points that solve the equation, then plot them on the graph. 5x-4y=-18
find the area. the figures are not drawn to scale.
Answer:
1036 in.²
hope that will help you
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
C -- 6 3/4
Step-by-step explanation:
4 + 2 = 6
5/8 + 1/8 = 6/8
6 divided by 2 = 3
8 divided by 2 = 4
you get the fraction 3/4
The angle turns through 1/5 of the circle.What is the measure of the angle?
Umang gained 20% by selling a watch for rs 2400 then find the cost price. if he gain 30% at what price should have he sold it.
Answer: Rs. 3120
Step-by-step explanation:
So...
rs. 2400 is the cost as of when it was overpriced by 20%
10%=240
20%= (240+240)= 480
Rs. 2400-480= Rs. 1920 which is the original price before the 20% was added making the price 2400 INR
Now we need to find what 30% is to find out the price if 30% was added to the original cost
so...
If 10%=240
30%=(240+240+240)= Rs. 720
Rs. 2400+720= Rs. 3120
Rs. 3120 is the price the watch was sold at when 30% was added onto the original price and the owner gained 30%.
Find the surface area (Leave your answer in terms of π) of a sphere with a radius of 12. Use 4πr² to solve.
76π
576π
48π
580π
Answer:
576π
Step-by-step explanation:
Surface Area of a Sphere
4πr²Given
r = 12Solving
S.A. = 4 x π x (12)²S.A. = 4 x 144 x πS.A. = 576πMatch each statement with its equivalent statement:
(match the ABC`s with the XYZ`s) Thank you!
A. sin^2 θ
B. sin(-θ)
C. tanθ
X. -sinθ
Y. sinθ/cosθ
Z. 1-cos^2θ
The ABC and XYZ statements are trigonometric statements
The equivalent of A is ZThe equivalent of B is XThe equivalent of C is YHow to match the statements?A. sin^2 θ
To do this, we apply the following trigonometric ratio
sin^2 θ + cos^2 θ = 1
Subtract cos^2 θ from both sides
sin^2 θ = 1 - cos^2 θ
Hence, the equivalent of A is Z
B. sin(-θ)
Assume that θ is an acute angle, then we have:
sin(-θ) = -sinθ
Hence, the equivalent of B is X
C. tanθ
Using the trigonometry formula, we have:
tanθ = sinθ/cosθ
Hence, the equivalent of C is Y
Read more about trigonometry ratios at:
https://brainly.com/question/11967894
I think of a number double it, then reduce six. The result is 20. What is the number??
Answer:
The number is 13
Step-by-step explanation:
the equation:
[tex]2x-6=20[/tex]
The solution.
[tex]2x=20+6[/tex]
[tex]x=\frac{26}{2} =13[/tex]
Hope this helps
Can you please help me with this
Answer:
180 + 48 = 228 :D
Step-by-step explanation:
We will first find the volume of the brown figure :)
6 x 6 x 5
36 x 5
180
Now we will find the volume of the blue figure :)
6 x 1 x 8
6 x 8
48
Now we add!!
180 + 48 =228
Have an amazing day!!!
Please rate and mark brainliest!!
Answer:
180 +48=228 cubic centimeters
the volume of the first shape=180 (you multipy length width and height)
the volume of second shape=48
add them=180+48=228
find the domain of the function (f•g)(x) where f(x)2x^2+c, g(x)=5x-1
Step-by-step explanation:
Notice the domain for both function is all real numbers.
So if we either add, subtract, multiply, or compose the functions, the domain will be all real numbers.
Part A Are squares also rectangles? Explain.
Answer:
down below
Step-by-step explanation:
no squares and rectangles are not the same because a square has all 4 sides of the square are the same length while for rectangles have do not have same length for all four sides so therfore squares are not also rectangles
kyle has x -3ounce blue marbles and 5 ounce green marbles. lara has 5-ounce green marbles and 3-ounces of blue marbles. is it possible for kyle and lara to have the same number of green marbles and the same total bag weight ,y? explain
Answer:
yes
Step-by-step explanation:
if x=6, 6-3=3 , so it is possible if x is 6
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
mode = 1
Step-by-step explanation:
the mode is the value that occurs most often in the data set.
1 occurs 3 times and is therefore the mode
Aiko types at a rate of 50 words per minute.
After typing at the same rate for 3 minutes, he has typed a total of 150
words.
This situation can be represented with a linear equation written in point- slope form, where x represents the number of minutes and y represents the number of words.
Use this information to complete each statement about the linear equation.
Answer:
Slope: 50x
One point will be: (1,50)
Equation: y = 50x
Step-by-step explanation:
Answer:
The slope of the linear equation is *50
One point on the graph of the linear equation will be *(3, 150)
This linear equation can be written as *y – 150 = 50(x – 3)
Step-by-step explanation:
ttm
How can a cruise ship float despite its mass (This is science)
A cruise ships floats despites it mass because it is boyanty and experiences and upthrust
Achimedes Principle of FloationThis principle states that "When a body is partially or totally imersed in a fluid, it experiences an upward force (Upthrust) which is equal to the volume of the fluid displaced"
Learn more about floation here:
https://brainly.com/question/17759399
Please help me with this please and thank you
Answer:
L bozo
Step-by-step explanation:
bc ur an L. ur whole life is an L
What is:
4m+3−2m
PS: This is a quick question/giveaway
Answer:
4m -2m + 3
2m + 3
is the answer
Answer:
[tex]\boxed{\sf{2m+3}}[/tex]Step-by-step explanation:
Solve the problem by combining like terms.
Distribute the terms accordingly.
Distributive property:
⇒ A(B+C)=AB+AC
4m+3-2mFirst, combine like terms.
→ 4m-2m+3
Solve.
Add the numbers from left to right.
→ 4m-2m=2m
Rewrite the problem down.
→ 2m+3
Therefore, the final answer is 2m+3.I hope this helps you! Let me know if my answer is wrong or not.
SHADOWS A rectangular billboard casts a shadow on the ground in the shape of a parallelogram. What is the area of the ground covered by the shadow? Round your answer to the nearest tenth.
Answer:
Its still a rectangle, just move the triangles, you get 450
Step-by-step explanation:
If you think of it like a triangle, you can use the base, the 90 degree angle, and the hypotenuse to get the area, do it twice since there are two, and your result is 225 for one triangle, 450 for both.
Harry owes his father $80. He makes $45 cutting grass on Saturday morning and has another grass cutting job
on Saturday afternoon. Which inequality shows how much Harry will need to eam on Saturday afternoon to
have enough to pay his father back?
a. 45 + x > 80
b. 45 + x 2 80
c. 45 + x < 80
d. 45 + x < 80
Answer:
$45 + $x = $80
Find the volume of the sphere. radius is 1/2
Answer:
The answer is 11/21 or 0.52 cubic units
Step-by-step explanation:
Given;Radius (r) = 1/2To Find;Volume of sphereFormula;Volume = 4/3 πr³Now,
V = 4/3 × 22/7 × (1/2)³
V = 4/3 × 22/7 × 1/8
V = 1/3 × 11/7 × 1
V = 11/21 = 0.52 cubic units
Thus, The volume of sphere is 11/21 or 0.52 cubic units.
An 80-gallon tub drains at a constant rate of 5 gallons per minute. What is the slope?
Answer:
5
Step-by-step explanation:
The slope is the same as the rate.
5 gallons/1 minute is the rate, so the slope can be written the same way.
5/1 = 5
someone please help with this thank you if u can !!
Answer:
10 cubic inch is the volume of container
If 2x - 3y = 14 and -x + 2y = -8
what is the value of x+y?
answer = 4 does it is correct
See the figure below. Which graph is the most appropriate to describe the height over time of a helium ballon that was accidentally let go and later burst?
Answer:
D
Step-by-step explanation:
We expect the height of a helium balloon to be increasing, up to the point where it bursts.
The only graph that shows consistently increasing altitude with a final drop is graph D.
_____
Additional comment
The graph of D shows the altitude increases at an increasing rate. The buoyancy force decreases with altitude, so we expect the balloon would actually have a decreasing rate of altitude increase. The actual curve would likely be concave downward.
Answer:
Okay...................
You ran 4 1/2 times around a quarter-mile track how far did you run
Answer:
1,809 meters. (1 & 1/8 of a mile)
Step-by-step explanation:
quarter of a mile = 402 meters
402 * 4.5 = 1,809 meters = 1 1/8 mile
Ex. 1 Write an equation in slope-intercept form for the line that passes through (3, 8) and is
perpendicular to the line with equation y = -1/3x+8
Answer:
Step-by-step explanation:
The line perpendicual to a reference line will have a slope that is the negative inverse of the reference line. In this case, the reference line is y= -(1/3)X+8, with a slope of -(1/3). The negative inverse would be 3. So the new line would have the form:
y = 3x + b
To find b, the y-intercept, use the given point and solve for b:
y = 3x + b
or 8 = 3*3 + b for the point (3,8)
8=9+b
b= -1
Thje equation of the line perpendicualr to the reference line and going through point (3,8) is:
y = 3x - 1
See attached graph.
Which expression would you use to determine the missing number in the sequence?
11, ____, 25, 32, 39
A. (11 + 25) - 2
B. (11 + 25) ÷ 2
C. (25 + 32) ÷ 2
D. (32 - 25) ÷ 2
So,
If we add 7 in 11 so it will be 18.Now we have to find the 18 in the given options after solve them. So,A) → (11 + 25 ) -2
Solve :- ( 36 ) -2
:- 34------------- it's not our answer. ____________________B) → (11 + 25) ÷ 2
Solve :- (36) ÷2
:- 18-------------it's our answer. ____________________Hence, Option (B) is correct ☑Find the median of the data set without the outlier.
Then, find the median of the data set with the outlier.
Answer:
Median without the outlier: 9
Median with the outlier: 9
Step-by-step explanation:
The outlier here is 1, because it's smaller than most of the values in the data set.
Median: the middle value of a data set
Median without the outlier: 9
7, 8, 8, 9, 9, 10, 10, 10, 10
Median with the outlier: 9
1, 7, 8, 8, 9, 9, 10, 10, 10, 10
9 + 9 = 18
18/2 = 9
Hope this helps!
Answer:
the without the outlier 9
set with with the outlier 9
Step-by-step explanation:
HELPPPPPP PLEASE! URGENT
Answer:
x=59 y= 81 z= 99
Step-by-step explanation:
z=
180-(57+24)=99
y=180-99=81
x= 40+81=121
180-121=59