Answer:
Option (1)
Step-by-step explanation:
Sequence has been given as,
[tex]a_n=\frac{n^3+3n}{n^2-6n}[/tex]
[tex]\lim_{n \to \infty}\frac{n^3+3n}{n^2-6n}[/tex]
[tex]=\lim_{n \to \infty}\frac{\frac{n^3+3n}{n^3} }{\frac{n^2-6n}{n^3} }[/tex]
[tex]=\lim_{n \to \infty}\frac{1+\frac{3}{n^2}}{\frac{1}{n}-\frac{6}{n^2} }[/tex]
= ∞
That means with the increase in the value of 'n' sequence gets larger and larger.
Therefore, sequence will diverge.
Option 1 will be the correct option.
Answer:
a-the sequence diverges
Step-by-step explanation:
edg 2023
Find the H.C.F. of 8, 12, and 20
Answer:
it is 4
Please Mark Brain list answer
Hope it helps you.
Answer:
4
Step-by-step explanation:
2 8 12 20
2 4 6 10
2 3 5
:2*2=4
Square contains 4cm. find the area of the shape.
Answer:
Step-by-step explanation:
'Area of a square' formula is A = s^2, where s in the length of one side.
Here, with s = 4 cm, A = 16 cm^2
The BEEEST answer will get brainliest. Also, I NEED HELP, I'm STUCK!
A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.
The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.
The margin of error of the population proportion is found using half the range.
What is the interval estimate of the true population proportion?
A.)(0.24, 0.48)
B.)(0.30, 0.42)
C.)(0.22, 0.50)
D.)(0.20, 0.52)
Answer:
(0.30, 0.42)
Step-by-step explanation:
i took the test :)
Q9 A gardener wants to build this greenhouse in the top right hand corner of her garden.
This is a sketch plan of her garden.
2.5m
5.5m
greenhouse
2m
here
5.5m
2.5m
She will leave a 50cm space between the greenhouse and the edge of the garden.
She wants a scaled plan of the garden showing the position of the greenhouse.
Draw a scale plan. Put the scale you use on the plan.
Answer:
See attachment for drawing
Step-by-step explanation:
Given
See attachment for sketch of plan
Required
Draw a scaled plan
From the question, the garden has the following dimensions.
5.5m, 5.5m, 4m and 2.5m
Using a scale of 1m : 50 cm units, the above measurements will be represented as:
[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]
[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]
From the question, we understand that there will be 50cm space between the greenhouse and the edge.
On the scale drawing, this will be represented as:
[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]
From the question, the green house has the following dimensions.
2m, 2.5m
On the scale drawing, this will be represented as:
[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]
See attachment 2 for scale drawing
Help plssssssssssssssss
As the it's a sqaure pyramid, thus the formula we will use will be:
= 2 × b × s + b²
= 2 × 2 × 6 + 2²
= 4 × 6 + 4
= 24 + 4
= 28 cm²
And it's done..!
The radius of a cylinder is 10 cm and its height is 14 cm what is the volume?
Answer:
140 pi cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h
= pi (10)^2 14
= pi (100) 14
= 140 pi cm^3
Write the equation of a line that goes through the points (2, -2) and (1, -8)
show work i will appreciate it
Answer:
y=6x-14
Step-by-step explanation:
m=-8-(-2)/1-2
m=-8+2/1-2
m=-6/-1
m=6
y-y1=m(x-x1)
y-(-2)=6(x-2)
y+2=6x-12
y=6x-2-12
y=6x-14
WILL MARK BRAINLIEST
Answer:
27
Step-by-step explanation:
First you need to find x.
It is shown that DE=EF, so we can use this.
5x-3=3x+7
5x=3x+10
2x=10
x=5
Then, you plug in the value of the variable and solve.
6(5)-3
30-3
27 = DF
Hi I really want to check my answer to this question, so if anyone could give it a try that would be very much appreciated!
Betty’s Bite-Size Candies are packaged in bags. The number of candies per bag is normally distributed, with a mean of 50 candies and a standard deviation of 3. At a quality control checkpoint, a sample of bags is checked, and 4 bags contain fewer than 47 candies. How many bags were probably taken as samples?
Answer:
Hi I really want to check my answer to this question, so if anyone could give it a try that would be very much appreciated!
Step-by-step explanation:
if this is wrogn sorry
Multiply (8z-3)(2z+5)
Answer:
12z if thats wrong lmk
Step-by-step explanation:
Help pleaseeeeeeeeeee
Answer:
Step-by-step explanation:
-3,5 to find it first go over then go up and you have your answer
Answer:
The answer is (5, -3)
Hope this helps!
Mark me brainliest if I'm right :)
I NEED HELP IMMEDIATELY!!!! PLS HELPP. PLS DO NOT GUESS EITHER BUT PLS CMON AND HELP ME PLSSS
Answer:
point S is (-2, 0) if that's what the question is asking for
Step-by-step explanation:
A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere?
261,000
261,000
2,351,000
2,351,000
18,810,000
18,810,000
41,210,000
Answer:
2,351,000
Step-by-step explanation:
closest to the volume in cubic feet
Which of the statement(s) about the graph shown are true? Select all that apply.
a. An equation for the graph is y=2x^2-9x+7
b. the function has two roots
c. The solutions of the related quadratic equation are -1.5 and -3
d. The related quadratic equation has two solutions
Step-by-step explanation:
The solutions of the related quadratic equation are -1.5 and -3
To summarize, the true statements are:
(b) The function has two roots.
(d) The related quadratic equation has two solutions.
What is a Quadratic equation?ax²+bx+c=0, with a not equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
To determine which statements about the quadratic function that passes through (1,0) and (3.5,0) are true, we need to use the fact that the roots (or x-intercepts) of a quadratic function can be found by solving the related quadratic equation, which is obtained by setting the function equal to zero.
Let's start with a statement (a). Plugging in the two points given into the equation y = 2x^2 - 9x + 7, we get:
At x = 1, y = 2(1)^2 - 9(1) + 7 = 0
At x = 3.5, y = 2(3.5)^2 - 9(3.5) + 7 = 0
This confirms that points (1,0) and (3.5,0) are indeed on the graph of the function, but it doesn't tell us whether this is the only function that passes through those points. So statement (a) alone is not sufficient to determine the true statements.
Next, let's consider statement (b). Since the graph passes through (1,0) and (3.5,0), we know that it must cross the x-axis at those two points. Therefore, the function has two roots or x-intercepts. Statement (b) is true.
Moving on to statement (c), we need to find the solutions of the related quadratic equation. Setting y = 2x² - 9x + 7 equal to zero, we get:
2x² - 9x + 7 = 0
Using the quadratic formula, we find that the solutions are:
x = (9 ± √(9² - 4(2)(7))) / (2(2)) ≈ 2.5 and ≈ 1.75
Therefore, statement (c) is false.
Finally, statement (d) asks whether the related quadratic equation has two solutions. We just found that it has two solutions, so statements (b) and (d) are true.
Learn more about Quadratic equations here:
https://brainly.com/question/22364785
#SPJ
2
4
5
3
help me find x
Answer:
Step-by-step explanation:
5x =2x+9(corresponding angles are always equal)
5x-2x=9
3x=9
x=9/3
x=3
Solve (4 - 5i)(-5 + i)
write answer in the form of a+bi
show all steps
Daija is looking to fertilize her 24,000 square foot lawn. Super Lawn fertilizer costs $18.49 and covers 6,000 square feet. Quick Fertilizer costs $23.99 and covers 8,000 square feet.
Answer:
A.) Cheaper Fertilizer is Quick Fertilizer
B.) The cheaper fertilizer now cost $ 61
Step-by-step explanation:
The exact question is as follows :
Given - Daija is looking to fertilize her 24,000 square foot lawn. Super Lawn fertilizer costs $18.49 and covers 6,000 square feet. Quick Fertilizer costs $23.99 and covers 8,000 square feet.
To find - A.) Which fertilizer would be cheaper for Daija to purchase to fertilize her entire lawn?-Show your work or explain your answer.
B.) Daija has a 15% off coupon on the cheaper fertilizer. Excluding sales tax, what is the new cost of the fertilizer? Round to the nearest cent.
Proof -
A.)
Given that,
Total lawn that have to be fertilize = 24,000
Now,
Super Lawn fertilizer costs $18.49 and covers 6,000 square feet.
i.e.
6000 square feet = $ 18.49
⇒4×6000 square feet = $ 4×18.49
⇒24000 square feet = $ 73.96
∴ we get
Super Lawn costs $ 73.96
Now,
Quick Fertilizer costs $23.99 and covers 8,000 square feet.
i.e.
8000 square feet = $ 23.99
⇒3×8000 square feet = $ 3×23.99
⇒24000 square feet = $ 71.97
∴ we get
Quick Fertilizer costs $ 71.97
As we get
Super Lawn costs $ 73.96
Quick Fertilizer costs $ 71.97
As $ 71.97 < $ 73.96
So,
Cheaper Fertilizer is Quick Fertilizer
B.)
As we get from part a) that
Quick Fertilizer is cheaper and it costs $ 71.97
So,
15% of 71.97 = 10.7955
∴ we get
Now,
Quick fertilizer cost = $ 71.97 - 10.7955
= $ 61.1745 ≈ $ 61
So,
After applying the 15% coupon,
The cheaper fertilizer now cost $ 61
r s + 14s when r=6 and s=1/4
Write the number in positive exponent form:
2 x 2 x 2
Answer:
the answe is 2^3
the graph shown is not a function because points (-1,2) and (fill in the blank) have the same x value
For a graphed line to be a function it needs to pass the vertical line test.
If a vertical line goes through the graphed line in more than one x axis then it is not a function.
Using the given point (-1,2) drawing a vertical line at X = -1, you can see the other vertical line goes through the graphed line at point (-1,0)
Answer: (-1,0)
1. There are two small rectangles in this picture that make one large rectangle. How
could
you
find the area of the large rectangle?
10
My thoughts/workspace
3
5
What is the area of the large rectangle?
units?
Answer:
Finding the area of a large rectangle is A = l × b
Step-by-step explanation:
A= Area, while I=length and B= the base, the way to find the area of the big one is by finding the area of the small ones first then adding them together,
Example: (a=lxb) + (a=lxb) = Area of big rectangle
At a farmers market to vendors sell fresh milk. One vendor sells 2 L for $3.80, and another vendor sells 1.5 L for $2.70. Which leader is a better deal. SOME ONE PLEASE HELPPP
Answer:
The second dealer is better.
Step-by-step explanation:
3.8/2= 2.7/1.5=
3.8/2=1.9 (first vendor) 2.7/1.5=1.8 (second vendor) 1.8 is less than 1.9.
Type the correct answer in the box. The product of (3 - 4) and is 25.
Answer:
3+4i
Step-by-step explanation:
let x be the answer
(3-4i)x=25
x=25/(3-4i)
multiply by the conjugate
x=(25(3+4i))/25
x=3+4i
Step-by-step explanation:
solution
2/7 of 3/4= 2/7×3/4=
(2×3)/ (7×4)
Ans = x= 3+4i
what is the area of the figure below
Answer:
Option A
Step-by-step explanation:
Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF
Area of ΔABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(6)(8-5)[/tex]
= 9 in²
Area of the trapezoid = [tex]\frac{1}{2}(CG+BH)(\text{Distance between these lines})[/tex]
= [tex]\frac{1}{2}(6+4)(5)[/tex]
= 25 in²
Area of ΔDEF = [tex]\frac{1}{2}(8)(6)[/tex]
= 24 in²
Therefore, area of the given figure = 9 + 25 + 24
= 58 in²
Option A will be the correct option.
Solve for j jj. j − 2 + 7 = − 12 −2 j +7=
Answer:
j= -10/3
Step-by-step explanation:
j - 2 + 7 = - 12 - 2j + 7
*add -2 and 7 to get 5
j + 5 = -12 - 2j + 7
*add -12 and 7 to get -5
j + 5 = -5 - 2j
*add 2j to both sides
3j + 5 = -5
*subtract 5 from both sides
3j = -10
*divide both sides by 3
j= -10/3
PLS HELP ILL PUT U AS BRAINLIST AND FOLLOW U
Answer:
76cm^2
Step-by-step explanation:
Can be divided in three parts
Part 1; Area= 6×2
=12cm^2
Part 2; Area= 2×2
=4cm^2
Part 3; Area= 10×6
=60cm^2
Add them; 60+4+12
76
Answer:
area 1
10x6
=60
area 2
2x4
=8
area 3
2x4
=8
total area is 60+8+8
total area is 76m²
Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.
What is the ft and in
Question is ;
Complete question is;
Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.
Which city accumulates more snow in 3 days? How much more snow?
Answer:
- Boston accumulates more snow in 3 days.
- It accumulates 0.6 ft of snow more than Boston
Step-by-step explanation:
Boston accumulates 1.5 feet of snow every 36 hours.
Number of hours in 3 days = 24 × 3 = 72 hours.
Thus, In 72 hours, Boston would have accumulated; (1.5 × 72)/36 = 3 feet of snow.
Now, Buffalo accumulates 0.01 inches of snow every minute.
In 3 days, number of minutes we have = 60 × 24 × 3 = 4320 minutes
Thus, total snow accumulated in 3 days = 0.01 × 4320/1 = 43.2 inches
Now, let's convert this to ft;
12 inches = 1ft
Thus; 43.2 inches = 43.2 × 1/12 = 3.6ft
Thus, Buffalo accumulates more snow in 3 days.
It accumulates 0.6 ft of snow more than Boston
Avery is currently making $14 per hour at her job. Her boss gives her a 15% raise for showing good work ethic.
If she works 40 hours per week, how much more will Avery be making than before her 15% raise?
A.$15.00
B.$280.00
C.$84.00
D.$116.00
Answer:
C) $84
Step-by-step explanation:
40 x 14 = 560
she made $560 prior to raise
14 x 1.15 = 16.10
her new hourly rate is $16.10
40 x 16.1 = 644
she now earns $644 per week
644 - 560 = 84
A ____ can be observed by all people on the side of the earth experiencing night. Group of answer choices Solar Eclipse Sunrise Lunar Eclipse Gravitation attraction of the sun
Answer:
Lunar Eclipse
Step-by-step explanation:
Lunar eclipse is the phenomenon that occurs on the night of the full moon. During this phenomenon the Earth comes in between the Sun and the Moon. The Earth blocks the light of the Sun with which the Moon is visible to the people on the Earth. Lunar Eclipse is visible from the part of the Earth that is experiencing the night. The duration of the Lunar eclipse can be for two hours. The moon appears to be red because of the reflection of the Earth.
Helen made a scale drawing of an office building. A desk, which is 6 feet long in real life, is 2 inches long in the drawing. What scale did Helen use for the drawing
Answer:
1 inch = 3 feet
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
6 /2 = 3
1 in = 3 feet