Answer:
Sum of the first 41 terms = 6724
Step-by-step explanation:
[tex]a_{41} = a_1 + (n - 1 )d = 4 + (41 - 1) \times 8= 4 + 40 \times 8 = 324\\\\S_n = \frac{n}{2}(a_1 + a_n)\\\\s_{41} = \frac{41}{2} (4 + 324) = \frac{41}{2} \times 328 = 41 \times 164 = 6724[/tex]
The sum of the first 41 terms of the following series, to the nearest integer, is 6724.
What is an arithmetic sequence?A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
Given:
An arithmetic sequence,
4, 12,20,...
The common difference d,
d = 20 - 12 = 8.
To find the sum of the first 41 terms:
We will find the 41st term.
Remember that,
aₙ= a₁ + (n-1)d
a₄₁ = 4 + (40)8
= 324
The sum of the first 41 terms,
Sₙ = (41/2)(4 + 324) = 6724.
Therefore, the sum is 6724.
To learn more about the arithmetic sequence;
https://brainly.com/question/29616017
#SPJ2
The product of x and 8 is not less than 16
Answer:
x ≥ 2
Step-by-step explanation:
The inequality would be: x * 8 ≥ 16
8x ≥ 16
x ≥ 16/8
x ≥ 2
Hope this helps!
Answer:
x*8 > 16
Step-by-step explanation:
product means multiplaction and x and 8 are being multiplied so x*8 and the answer is not less than or at least 16
There are 4.5 litres of milk in a pot. The chef stirs in 2.5 g of salt and 1.2 litres of water. How much liquid is in the pot?
Answer:
5.7 litres
Step-by-step explanation:
The salt is not a liquid so you do not need to add it in.
4.5 litres + 1.2 litres = 5.7 litres
PLSS HELP ME ITS WORTH 20 POINTS!!
Answer:
suplementary
Step-by-step explanation:
By the distributive law 3 ✖ 2 + 3 ✖ 4 =
1. 9 + 8
2. 9 ✖ 8
3. 3 + 8
4. 3 ✖ 6
Need this quick as hell 25 points
(1.9)2 standard form
Answer:
-4
Step-by-step explanation:
hope this helps
have a great day/night :)
Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths.
Base 3 1/2 feet, altitude 3/4 feet.
Answer:
below
Step-by-step explanation:
base * height = area of a parallelogram
7/2 × 3/4
=21/8 feets
MATH HELP PLEASE ANSWER AND SHOW WORK ITS DUE SOON THANKS
Answer:
the area of the circle is the number of boxes in the box minus no .of boxes in circle....
hay claudia do u remember me
y = one-third (x + 2)
Answer:
Step-by-step explanation:
according to the question equation is
y=1/3*(x+2)
y=x+2/3
Solve the equation to find where the treste ground levelEnter your answers from least to greatest and round to the nearest The meets the ground at and
Answer:
The trestle meets ground level at 0.875 units and 9.125 units
Step-by-step explanation:
Poorly formatted question.
The given equation is:
[tex]y = -x^2 + 10x - 8[/tex]
Required
The point where the trestle gets to the ground level
To do this, we set [tex]y = 0[/tex]
So, we have:
[tex]-x^2 + 10x - 8 = 0[/tex]
Multiply through by -1
[tex]x^2 -10x + 8 = 0[/tex]
Solve using quadratic formula:
[tex]x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
[tex]a = 1; b =-10; c = 8[/tex]
So, we have:
[tex]x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}[/tex]
[tex]x= \frac{-(-10) \± \sqrt{68}}{2*1}[/tex]
[tex]x= \frac{-(-10) \± 8.25}{2}[/tex]
[tex]x= \frac{10 \± 8.25}{2}[/tex]
Solve the fraction
[tex]x= 5 \± 4.125[/tex]
Split
[tex]x= 5 + 4.125\ or\ x= 5 - 4.125[/tex]
[tex]x= 9.125\ or\ x= 0.875[/tex]
What is the range of the function in this table?
х y
1 2
2 4
3 3
4 2
a. (1,2), (2,4), (3,3), (4,2)
b. (1,2)
c. {1,2,3,4}
d. {2,3,4}
Answer:
4 is the range of the function
please help calculate
Step-by-step explanation:
the answer is in the above image
Help plsss!
find the area of the shaded region
In the diagram below,
Answer:
<H = 40
Step-by-step explanation:
Complementary angles add to 90 degrees
2x+10 + x+20 = 90
Combine like terms
3x+30 = 90
Subtract 30
3x+30 -30 = 90-30
3x = 60
Divide by 3
3x/3 = 60/3
x = 20
<H = x+20 = 20+20 = 40
help very easy 5th grade math im in rush please help im very tired
Answer:
D
Hope that this helps!
starts at +8 and move -3 . starts at -8 and move-3 . start at 0 and -3. starts at +4 and move -4.
Answer:
end -8 and move -3 . start at -8 and move -3
PLEASEE HELP I NEED ASAP TY SM
Answer:
51
Step-by-step explanation:
166-13=153
153/3=51
51
sorry if that didn't make sense, that is just how i solved it
3. Sam has a total of 22 quarters and nickels. The coins total value is $2.90. How many quarters and nickels does he have?
Answer:
22?
Step-by-step explanation:
Matt is saving to buy a new motorcycle. If he deposits $70 at the end of each month in an account that pays an annual interest rate of 3.5%, how much will he have in
60 months? Assume that the compounding is being done monthly
Answer:
bro I don't know. I just need the points so I can keep getting answers. good luck tho I guess.
4 bottles of water cost 10 dollars at a music festival.
Based on the ratio, how much does 3 bottles of water cost?
Answer:
7 dollars and 50 cents, price per bottle is 2 dollars (you can get this answer by dividing 10/4) and 50 cents multiply that by 3 and you get the answer, 7 dollars and 50 cents.
Step-by-step explanation:
I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.
HELPP!!!! 30 POINTS!!! Points A and B are on the different sides on line l, the distance between point A and the line l is 10 in, the distance between point B and line l is 4in. What is the distance between the midpoint O of the segment AB and the line l?
OC = 3 in
Refer to the attachment for complete explaination
Is this a function? Or is it not a function ? I’ll give brainlist.
Answer:
its a function something to remember is if anything on the y line (up and down) touches its not a function otherwise it is
Step-by-step explanation:
someone help plsplspls
Answer/Step-by-step explanation:
Volume of a cone = ⅓*π*r²h
Where,
Radius (r) = 7 mm
Height (h) = 8 mm
Plug in the value into the equation
V = ⅓*3.14*7²*8
V = ⅓*3.14*49*8
V = 410.293333
V ≈ 410.3 mm³ (nearest tenth)
What is the same as writing that “Angles 5 and 6 are supplementary adjacent angles”?
Angles 5 and 6 are not next to each other and sum up to 180°.
Angles 5 and 6 are not next to each other and sum up to 90°.
Angles 5 and 6 are next to each other and sum up to 180°.
Angles 5 and 6 are next to each other and sum up to 90°.
Answer:
Angles 5 and 6 are next to each other and sum up to 180°.
Step-by-step explanation:
supplement means adding up to 180
Angles 5 and 6 are next to each other and sum up to 180°.
Step-by-step explanation:
supplement means adding up to 180
Can someone simplify? I'm confused-
Find the center and the radius of the circle given this equation:
2
x + 4x + y ² -10y +20=0
Answer:
vertex: (5/6,5)
focus: (- 2/3, 5)
axis of symmetry: y = 5
directrix: x = 7/3
Step-by-step explanation:
use the vertex form to determine the values of a.h. and k and use these values to find the direction the parabola opnes, vertex, foucs, axis of symmetry, and directrix
Can u solve these please I need help
Answer:
Step-by-step explanation:
take 48 degree as reference angle
using tan rule
tan 48=opposite/adjacent
1.11=missing side/58
1.11*58=missing side
64.38=missing side
A quadrilateral has one pair of parallel sides with lengths 1 3/4 inches and 1 1/4 inches, and two angles that each measure 36 degrees.
Answer:
d
Step-by-step explanation:
one side is shorter than the other so it cant be any other option
Is b = 4 a solution to the inequality below?
3 ≥ b
Also can someone tell me how to do this? step by step?
Answer:
b=4
Step-by-step explanation:
4 Also can someone tell me how to do this? step by step?
Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain.
Answer:
If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.
Step-by-step explanation:
Find the probability of this event Enter the answer as a fraction in simplest form, as a decimal, and as a
percent
You choose a marble at random from a bag containing 12 red, 12 blue, 4 green, 6 yellow, and 26 black
marbles,
The marble is red
Answer:
12+12+4+6+26=50
12/50=6/25=0.24=24%
Answer:
1/5.
Step-by-step explanation:
First you have to add up all of the numbers: 12+12+4+6+26. Then you have to find how many red marbles there are, which this case there are 12, so you get your fraction of 12/60 which can be reduced to 1/5.
