The value of the 43rd term of the arithmetic sequence will be 482.
What is the sum of an arithmetic sequence?Let a be the first term, L be the last term, n be the number of terms, and d be a common difference.
Then the sum of the arithmetic sequence will be
Sₙ = (n / 2)[a + L]
Sₙ = (n/2) [2a + (n − 1) d]
An A.P.'s eighth term is worth 160 while their twentieth term is worth 880.
160 = (8/2)(2a + 7d)
2a + 7d = 40 ...1
880 = (20/2)(2a + 19d)
2a + 19d = 88 ...2
From equations 1 and 2,
40 - 7d + 19d = 88
12d = 48
d = 4
Then the value of 'a' is given as,
2a + 7(12) = 40
2a = 40 - 84
2a = -44
a = -22
The value of the 43rd term is given as,
aₙ = a + (n - 1)d
a₄₃ = - 22 + (43 - 1)(12)
a₄₃ = - 22 + 42 x 12
a₄₃ = - 22 + 504
a₄₃ = 482
More about the sum of arithmetic sequence link is given below.
https://brainly.com/question/25749583
#SPJ5
PLS HELP ASAP ILL GIVE BRAINLIEST TYSM
Answer:
3x+2=16
Step-by-step explanation:
Answer:
the answer is most likely to be rather the first or second choice, but i choose B
Step-by-step explanation:
*Hope this helps*
based on what i understood, 3 green rectangles (or whaever that shape is), the 2 red squares, and the 16 small yellow squares. and the answer choices have
3x - 2 = 16
3x +2 = 16
3x + 4 = 20
3x = 24
and i dont think its 3x + 4 = 20 or 3x = 24 because there isn't any shapes to represent the 4, 20, and 24.
I might be wrong but i hope its right...
just give me the coordinates plzplzplz
Answer:
(0,4) and (5,-3)
Step-by-step explanation:
DO NOT ANSWER IF YOU DO NOT KNOW
What is 1 way you can tell if two people are paying the same rate?
Answer:
By saying "paying the same rate"
I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.
If so then there are a couple of factors at play.
First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.
How do I solve 5x - 4x^2
Answer:
If you are asking,
5x - 4x^2=0
x(5-4x)=0
Either,
x=0
or,
5-4x=0
x=5/4
If factor,
5x - 4x^2
x(5-4x)
If difference,
5x - 4x^2
The same as they are not like terms.
The total height of three people is 14 ft. Person A is 1 ft taller than Person B. Person C is 2 feet shorter than Person B. How tall is person A?
A. 6ft
B. 3ft
C. 5ft
D. 4ft
Step-by-step explanation:
A+B+C = 14
B+1 +B + B-2 = 14
3B -1 = 14
3B = 14+1
3B =15
B = 5
Therefore, A = 5+1 = 6 ft (option A)
__________
[tex] \: [/tex]
14 = A + B + C
14 = (B + 1) + B + (B - 2)
14 = 3b - 1
14 + 1 = 3b
15 = 3b
b = 15 ÷ 3
b = 5
.
A = B + 1
A = 5 + 1
A = 6✔ (A.)
Find the value of K given x=4 and y=16?
Answer:
When y = 20 ,x is −5
Step-by-step explanation:
Insert 5 geometric means between -4 and -62 500
9514 1404 393
Answer:
Either of ...
{-20, -100, -500, -2500, -12500}{20, -100, 500, -2500, 12500}Step-by-step explanation:
For some common ratio r, the first of the "geometric means" will be -4r, the next will be -4r^2, and so on. The 5th will be -4r^5, and finally, -62500 will be -4r^6.
Solving this last relation for r gives ...
-4r^6 = -62500
r^6 = 15625
Then r can be either of ...
r = ±15625^(1/6) = ±5
For r = 5, the means are ...
-4·5 = -20, and -100, -500, -2500, -12500
For r = -5, the means are ...
-4(-5) = 20, and -100, 500, -2500, 12500
Lillian's bedroom door is 9 feet tall and 3 feet wide. A new door would cost $3.00 per square foot. How much would a new bedroom door cost in total?
Answer:
$81.00
Step-by-step explanation:
First find the square feet:
9*3= 27
Then find total cost:
27*3= 81
Hope this helps! :)
What force would have been applied to the bus from t=16 s to t=21 s? Assume the mass of the bus was 50 kg.
Applying Newton's Second Law, it is found that the force, in Newtons, is given by:
[tex]F = 10[v(21) - v(16)][/tex]
Newton's Second Law states that Force, in Newtons, is mass times acceleration, that is:
[tex]F = ma[/tex]
In this problem, mass of 50 kg, thus [tex]m = 50[/tex]
Acceleration is change in velocity divided by change in time, that is:
[tex]a = \frac{\Delta_v}{\Delta_t}[/tex]
In this problem, we don't know the velocities, but know that time is from 16s to 21s, thus:
[tex]\Delta_t = 21 - 16 = 5[/tex]
[tex]\Delta_v = v(21) - v(16)[/tex]
Thus, the force is given by:
[tex]F = ma[/tex]
[tex]F = m\frac{\Delta_v}{\Delta_t}[/tex]
[tex]F = 50\frac{[v(21) - v(16)]}{5}[/tex]
[tex]F = 10[v(21) - v(16)][/tex]
A similar problem is given at https://brainly.com/question/18801986
8z + 6 = 7z + 4
I need help with it please show the steps
In ΔDEF, EF = 15, FD = 13, and DE = 4. Which list has the angles of ΔDEF in order from smallest to largest?
Answer:
< F , < E, < D
Step-by-step explanation:
ΔDEF
Arrange the sides from smallest to largest
DE = 4, FD = 13, and EF = 15.
Largest side opposes the largest angle, medium side opposes the medium angle, smallest side opposes the smallest angle.
the angles of ΔDEF in order from smallest to largest
< F , < E, < D
Hi- So this is a simple question that I keep forgetting how to answer! HELPPPP
Ok so, The scale factor from Triangle A to Triangle B is 2, so Triangle B is 2 times bigger than Triangle A.
How much bigger is the area of Triangle B than the area of Triangle A?
HELPPPP
Answer:
4 times bigger
Step-by-step explanation:
1. The area of an object dilated by a scale factor (SF) will be equal to (SF)^2.
2. For example, let's say the base and height of Triangle A is 4 and 8. The area would be 16 units squared. The base and height of Triangle B would be 8 and 16. The area would be 64 units squared.
3. As you can see from the aforementioned example, the SF (2) was squared and then multiplied by 16 to get 64.
Therefore, Triangle B's area is 4 times bigger than Triangle A's area.
7) The sum of the angle measures of a
quadrilateral is 360°. Find the value of x.
24
2
Answer:
x=120°
Step-by-step explanation:
X+X+1/2X+1/2X=360
combine all like variables
X+X=2X
1/2X+1/2X=X
2X+X=3X
3X=360
isolate x by dividing both sides by 3
360÷3=120
X=120
can someone help me ??
Answer:
x=5
Step-by-step explanation:
Brainliest?PLEASE?Answer: x=-5
I hop that helped I would appreciate brainliest if possible :)
Which type of parent function is f(x) =^3cubed x
—
A. Square root
O B. Cube root
O C. Reciprocal
D. Quadratic
Help quick!!!
Answer:
Cube Root
Step-by-step explanation:
Because there is a 3 outside the symbol.
That means the equation is stating: y * y * y = x
Hope this helps :)
HELP PLEASE!!
Write a recursive rule for an=1/3•4^n-1
A.) an=1/3•an-1
B.) an=4•1/3an-1
C.) an=1/3•4an-1
D.) an=4•an-1
Answer:
D.) an = 4 * an-1
Step-by-step explanation:
a(n) = (1/3) * 4^(n-1)
a(n-1) = (1/3) * 4^(n-1-1) = (1/3) * 4^(n-2)
Thus,
a(n) = (1/3) * 4 * 4^(n-2) = 4 * [(1/3) * 4^(n-2)] = 4 * a(n-1), so that
a(n) = 4 * a(n-1).
PLEASE HELP I WILL GIVE YOU BRAINLIEST ANSWR!!!!!!
Answer:
Domain: (- infinity, infinity) Range: (-infinity, infinity)
Step-by-step explanation:
ok. look at the x axis.. the graph goes on forever... now y axis, it continues so both are infinity.
Tan^2 0+Tan^2 30+Tan^2 60+Sin^2 0
Answer:
2.996519411885697
Step-by-step explanation:
[tex] \tan(20) + \tan(230) + \tan(260) + \sin(20) = 2.996519411885697[/tex]
mark me brainliest
[tex]\sf 7-5x=-43[/tex]
Answer:
[tex]\sf\longmapsto \: x = 10[/tex]
Step-by-step explanation:
Subtract 7 from both sides:
7−5x−7=−43−7
Simplify:
−5x=−50
Divide both sides by −5:
[tex]\sf\longmapsto \: \frac{ - 5x}{ - 5} = \frac{ - 50}{5} [/tex]
[tex]\sf\longmapsto \: x = 10[/tex]
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]
Answer:
x=10
Step-by-step explanation:
[tex]7-5x=-43[/tex]
[tex]7-5x-7=-43-7[/tex] Subtract
[tex]-5x=-50[/tex]
[tex]\cfrac{-5x}{-5}=\cfrac{-50}{-5}[/tex] Divide
[tex]x=10[/tex]
Brandon enters bike races 8 1/2 miles every 1/2 hour.
Find the point if intersection of these two lines using algebra.Y= -x+3 and y=3x+2
Answer:
x = 1/4, y = 11/4
Step-by-step explanation:
hope this helps
Please help me solve this
Answer:
9
Step-by-step explanation:
2(m+2) = 22
Using the distributive property, you can multiply the 2 to both the "m" term and the "2".
2m + 2*2 = 22
2m + 4 = 22
Then you isolate the variable and solve.
2m = 22 - 4
2m = 18
m = 9
2(m + 2) = 22
2(m) + 2(2) = 22
2m + 4 = 22
2m = 22 - 4
2m = 18
2m / 2 = 18 / 2
m = 9
To distribute the 2 to each term inside the parentheses means to multiply the 2 by both terms in the parentheses so
2(m + 2) means (2 × m) + (2 × 4)
Determine if the following are true or false statements.
- If it is below 32° outside, then it is snowing. T or F
- If m∠2=25°, then it is an acute angle. T or F
- If two angles are supplementary, then they add up to 180°. T or F
- If two angles are complementary, then they are both 45° T or F
Answer:
1. T
2. T
3. T
4. F
Step-by-step explanation:
1. The tempature must be 0 degrees celcus or 32 degrees fahrenheit or below to snow.
2. An acute angle is less than 90 degrees
3. Supplementary angles are 2 angles that add up to 180.
4. Complementary angles are any 2 angles that add up to 90 degrees BUT they do not have to be only 45 degrees and can be any 2 degrees that add up to 90.
50 POINTS!
PLEASE HELP THIS MAKES NO SENSE AT ALL!! IM BEING TIMED
Answer: the last one i think if i'm wrong then im so sorry
Quis
bentuk pangkat dari
2² + 3² - 2²=
note:. user Indonesia
Answer:
9 Should be your answer
Step-by-step explanation:
[tex]2^{2}[/tex] = 4
[tex]3^{2}[/tex] = 9
These will help us as we solve this problem.
Then: 2² + 3² - 2²
= 4 + 9 - 4
= 9
Kind requests:
Please give brainliest :D
A sample of gold has a mass of 579 g. The volume of the sample is 30 cm3. What is the density of the gold sample?
The density of the gold sample is 19.3g/cm³
Let the mass of the gold sample be represented by m
m = 579 g
Let the volume of the gold sample be represented by V
V = 30 cm³
Let the density of the gold sample be represented by ρ
The formula for the density is:
[tex]Density = \frac{Mass}{Volume}[/tex]
[tex]\rho = \frac{m}{V} \\\rho = \frac{579}{30} \\\rho = 19.3 g/cm^3[/tex]
The density of the gold sample is 19.3g/cm³
Learn more here: https://brainly.com/question/17780219
What is the measure of the
third angle of this triangle?
Answer:
20 degrees
Step-by-step explanation:
180-120-40=20
A line segment is defined by which of the following statements?
А Two rays that share a common endpoint.
B.
The set of all points that are a fixed distance from a given point.
С
All points between and including two given points.
D
A straight path connecting two points and extending infinitely in both directions.
The only given option that correctly defines a line segment is;
Option C; All points between and including two given points.
In geometry in mathematics, a line segment is defined as a part of a line that is bounded by two distinct end points.
Now, let us look at the options;
Option A; This is not correct because a line segment must have 2 distinct endpoints
Option B; This is not correct because a line segment is a part of a line and not a set of points.
Option C; This is correct because it tallies with our definition of line segment.
Option D; This is not correct because a line segment does not extend infinitely.
Read more at; https://brainly.com/question/18089782
The perimeter of a rectangle is 84 cm. If the length is 17 cm, how wide is the rectangle?
A) First write an equation you can use to answer this question. Use w as your variable in the equation
B) Solve your equation in part [A] to find the width of the rectangle.
Answer: The rectangle is
cm wide.
PLS HELP I NEED THIS ASAP
Answer:
width = 25cm
Step-by-step explanation:
perimeter = 84
length =17
A) 84 = 17(2) + 2w
B) 84 = 34 + 2w
-34 -34
50=2w
/2 /2
25=w
write the equation of the line perpendicular to the given line y= -2/3 x + 1
since the equation of the line passing through the given point is perpendicular to the given line(m2= -1/m1)
using the formula y=mx+c
y=2/3x +1
m1=2/3
m2= -1/2/3
m2= -3/2
the slope of the second line is -3/2 and it passes through the point(3,-2)
using the formula y-y1 = m(x-x1)
y-(-2)= -3/2(x-3)
y+2= -3/2(x-3)
multiply both sides by 2
2(y+2) = -3(x-3)
2y+4 = -3x+9
2y = -3x+5
y= -3/2x + 5/2