Answer:
The nth term of the sequence is:
[tex]a_n=\frac{-3n+3}{2}+8[/tex]
Step-by-step explanation:
Given the first 5 terms of the arithmetic sequence
8, 13/2, 5, 7/2, and 2
An arithmetic sequence has a constant difference 'd' and is defined by:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
as the common difference 'd' is:
[tex]d=a_{n+1}-a_n[/tex]
Computing the differences of all the terms
[tex]\frac{13}{2}-8=-\frac{3}{2},\:\quad \:5-\frac{13}{2}=-\frac{3}{2},\:\quad \frac{7}{2}-5=-\frac{3}{2},\:\quad \:2-\frac{7}{2}=-\frac{3}{2}[/tex]
[tex]d=-\frac{3}{2}[/tex]
The first element is:
[tex]a_1=8[/tex]
Therefore, the nth term is computed by:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=-\frac{3}{2}\left(n-1\right)+8[/tex]
[tex]a_n=\frac{-3n+3}{2}+8[/tex]
Therefore, nth term of the sequence is:
[tex]a_n=\frac{-3n+3}{2}+8[/tex]
Jason invests money in an account paying simple interest. He invests $160 and no money is added or removed from the investment. After one year, he has $164.80. What is the simple percent interest per year?
Answer:
The answer is 3%
Step-by-step explanation:
1.) $160 divided by $164.80 = 1.03
2.) 1.03 x 100 = 103
3.) 103 - 100 = 3
4.) 164.80 - 160 = 4.80
5.) 4.80 divided by 160 = 0.03
6.) 0.03 x 100 = 3%
Pine St. and main st. Are?
Answer:
could u add a picture to make it more sepific
Step-by-step explanation:
A line passes through the points (-10, -3) and (-5, 1). What is the slope of the line?
Answer:
m= 4/5
Step-by-step explanation:
use the formula (y2 - y1)/ (x2 - x1)
(-10, -3) (-5, 1)
1-( -3)/-5-( -10)= 4/5
Help needed, much appreciated
Answer:
1/6
Explain:
The reciprocal of the slope is its perpendicular.
6/1 --> 1/6
Any help is appreciated!!
Answer:
Step-by-step explanation:
600,000,000
Answer:
[tex]1.872 \times {10}^{13} [/tex]
Step-by-step explanation:
Simply multiple the values listed
[tex]3.12 \times {10}^{5} \\ \times 6 \times {10}^{7} [/tex]
You can just multiply the values and keep it in scientific notation. No reason to multiply all if it to find the answer.
[tex]18.72 \times {10}^{12} [/tex]
Now we have to put it into scientific notation, simply move the decimal to the left by 1 and add to the exponenet by 1.
[tex]1.872 \times {10}^{13} [/tex]
Given h(x) = -x + 2, solve for x when h(x) = -3.
;-;
The value of x when h(x) =-3 is 5.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
h(x) = -x + 2
Now, we have to find the value of x when h(x)= -3
So, h(x)= -3
-x+ 2= -3
Now, Subtracting 2 from both side
-x+ 2 -2= -3 -2
-x = -5
x= 5
Hence, the value of x is 5.
Learn more about Algebra here:
https://brainly.com/question/24875240
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(8x-3y)(8x+3y) solve the following
Answer:
64x^2-9y^2
Step-by-step explanation:
hope this helps, have a good day!
please help asap!! thank you :)
Answer:
About 3800
Step-by-step explanation:
Which of the following could NOT be the measures of the angles of a triangle?
A. 600-60°-60°
O B. 70°-50-70°
OC. 40°-400-100°
D. 30°-120°-30°
the angles of a triangle always equals 180 degrees, so all of them cant be the measure of the angles of a triangle except for D
A principal at a large high school wants to estimate the number of days freshmen regularly ride the bus to school.
The principal randomly selects 35 freshmen and asks them how many days per week they ride the school bus. The
principal constructs a 90% confidence interval for the true mean number of days freshmen ride the bus to school per
week. Which of the following would decrease the margin of error?
O using a sample of size 30
O using a sample of size 40
constructing a 95% confidence interval
O constructing a 99% confidence interval
Answer:
b. using a sample of size 40
Step-by-step explanation:
edg 2020
Answer:
B. using a sample of size 40
Step-by-step explanation:
Find the measure of the bolded arc. Round to the nearest hundreth.
Answer:
4.58
Step-by-step explanation:
i would make sure im correct but i think this is it.
Its 8:20, you add 175 minutes to the time. What time is it?
Answer:
12
Step-by-step explanation:
Answer:
12:00
Step-by-step explanation:
Find the value of x for which d ||m.
Answer:
29
Step-by-step explanation:
Games Galore Super Store buys the latest video game at a wholesale price of $58.00. The markup rate at Game’s Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay, not including tax?
Answer:
Step-by-step explanation:
30 + .40(30) = 30(1 + .40) = 30(1.4) = $42
' $1, 200 . 18 1.5%
Answer:
2178
Step-by-step explanation:
HELP ASAP. ‼️‼️‼️‼️‼️
Answer:
Nice Shoes..
Step-by-step explanation:
The answer is 16 to the 4th power for #1 89c for #2 and 29f for the third
-7-2/3x=6
what is x
pls tell me quickly
Answer:
x = -39/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Exact Form: x=-(39)/(2)
Mixed Form: x=-19(1)/(2)
WILL MARK BRAINLIEST
Which linear function represents the line given by the point-slope equation y + 7 =-(x + 6)?
•f(x)= -2/3x -11
•f(x)=-2/3x-1
•f(x)=-2/3x+3
•f(x)=-2/3x+13
Answer:
im 6 sorry
Step-by-step explanation:
You are saving for a new tablet? Suppose you have $200 to start, and you need to keep the money in a bank account. Plan A: An additional $20 per month will be added to your account each month. Plan B: An additional 10% of the balance at the time will be added to the account each month. Using the above plans, determine the following: 1) What is the balance of each account after 1 month? After 2 months? After 3 months? 2) What is the balance of each account after 12 months? 3) Which plan would you choose? Explain and give details. Use the DESMOS testing link for assistance if you want to create graphs.
Answer: ok
Step-by-step explanation: not sure
A fish is swimming at a vibrant rate toward the ocean floor. The equation y=-7x-3 can be used to represent this distinction, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish,given this equation.
A.From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.
B.From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second .
C.From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
D.From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.
Answer:
C. From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
Answer:
C
Step-by-step explanation:
y = -7x - 3 is a linear function that follow y = mx+b. M is the slope or rate. Here m = -7 so the fish descends 7 meters per second. B is the y-intercept or starting position. Here the starting position is -3 so the fish starts 3 feet below sea level.
Which set of ordered pairs represents y as a function of X? a{(-9, 2), (0, 6), (1, -2), (-3, 6)} b{(-1,0), (4, 3), (-7, -3), (-1, -8)} c{(3, 2), (-4,-2), (3, 1), (-4,1)} d{(5, 4), (2, 3), (1, 1), (2,4)}
What is the answer to 5w ≥ –6w + 11?
Answer:
w is greater than or equal to 1
Step-by-step explanation:
1. Add the 6w to both sides.
11w is greater than or equal to 11.
2. Divide by 11
w is greater than or equal to 1
Answer:
w>1
add the underline under the greater sign
and dont forget to include { } and | if needed
Step-by-step explanation:
Guys helpful tip
Go to google and search up M A T H (space) W A Y
it will help u with all ur questions
Answer:
ok I will try that thx for telling
what's sss, sas, asa, aas, and hi. when it comes to solving triangles?
Answer:
SSS = side side side
SAS = side angle side
ASA = angle side angle
AAS = angle angle side
Using the table below, determine the unit rate in points per game. *
games
points
3
42
13
182
16
224
Your answer
Is 3.1141141114 rational or irrational?
please please help me!!
Answer:
y = 3x-5
Step-by-step explanation:
this is becuase the y-intercept of these points falls to around -5 (a point actually crosses the y axis at -5)
the gradient of these points is too steep to be x and the slope is not negative - therefore the slope must match closest to 3x.
Answer:
ummmmm B.
Step-by-step explanation:
3b+2
The sub for b is 14
Answer:
44
Step-by-step explanation:
I'm assuming you're meant to multiply so I did 3(14)+2 and it gave me 44 :)
Answer:
so it should be 44
Step-by-step explanation:
So the sub for b is 14 so substitute the b to 14
Then 3(14) they are multiplying so multiply them should equal 42
Then add the 2 the answer should be 44
I hope that you understoood!
PLEASE HELP ME I NEED THE ANSWER!!!!!!!!!!!!!
The floor of an elevator in a building is 30 feet above ground level. It travels down to the lower level of the building, where the floor is 10 feet below ground level. What distance has the elevator’s floor traveled?
Answer:
40 feet
Step-by-step explanation:
You have to add the 30 feet above to the 10 feet below to get 40
find the ratio p:r if p:a=1:2, a:b=2:3, b:c=5:1, c:r=3:2
Answer: 2.5
[tex]\frac{p}{a}=\frac{1}{2} => a=2p\\\\\frac{a}{b}=\frac{2}{3}=> b=\frac{3}{2}a=3p\\\\\frac{b}{c}=\frac{5}{1}=>c=\frac{1}{5} b=\frac{3p}{5}\\\\\frac{c}{r}=\frac{3}{2}=>\frac{3p}{5r}=\frac{3}{2}=>\frac{p}{r}=\frac{3}{2}:\frac{3}{5}=2.5[/tex]
Step-by-step explanation: