Answer:
n = 50
Step-by-step explanation:
Let a be the first term and d be the common difference.
An arithmetic sequence has a 2nd term equal to 3 and 10th term equal to -13.
[tex]a_n=a+(n-1)d[/tex]
According to the given condition,
[tex]a_2=3\\\\a_{10}=-13[/tex]
or
[tex]a+(2-1)d=3\\\\a+d=3\ ...(1)\\\\a+(10-1)d=-13\\\\a+9d=-13\ ...(2)[/tex]
Subtract equation (1) from (2).
a+9d-(a+d) = -13-3
8d = -16
d = -2
Put the value of d in equation (1).
a+(-2) = 3
a = 3+2
a = 5
Now,
[tex]a+(n-1)d = -93\\\\5+(n-1)(-2)=-93\\\\5-2n+2=-93\\\\7+93=2n\\\\2n=100\\\\n=50[/tex]
So, 50th term has the value of -93.
Albert O'Malley signs a promissory note for $3,500 for 150 days at 9% exact interest. Find the interest he must pay _____ and the total amount due on the due date _____.
Answer:
He must pay $129.45 and the total amount due is $3,629.45.
Step-by-step explanation:
I (interest) =P (principal) x R (rate) x T (time)
I=3500x.09x150/365
I=129.45
A (amount due) = P (principal) + I (interest)
A= 3500 + 129.45
A= $3629.45
the slope is -3/2, the y intercept is 1. Write an equation for the linear function, f(x)
Answer:
f(x)=-3/2x+1
Step-by-step explanation:
y=mx+b
m=slope
b=y intercept
y=f(x)
Please help due in 10 minutes!!!!!!!
Answer:
23.42 ft is the perimeter of the hole that should be cut in the wall.
Find the value of x.
Answer:
x is 24
Step-by-step explanation:
5x+60=180
5x=120
x=24
The Basketball team sets a goal of having at least a 7:2 Win Loss Ratio. If they play 36 games in a season, how many games must they win to achieve their goal?
what is 100÷21?
56×32=
76+77
Answer:
100 ÷21 = 4.76 or 5
56 × 32 =1732
76+77= 153
Step-by-step explanation:
Hope it help
Mark me as brainliest
8x-5 = 9+7x What is the solution please show work if you can
Step-by-step explanation:
8x-5=9+7x
8x-7x=9+5
x=14
Answer:
8x-5 = 9+7x
8x-7x =9+5
x = 14
what is 2.73-0.94 plss guys help me
Answer:
1.79
Step-by-step explanation:
If you do not know how to type that into a calculator or to just subtract on paper thats kinda sad
What is the distance between points A and E on the coordinate plane below? a : (4,3) e : (-5,3)
Match the following expression 12(x-3)+18=4(2x-3) with the number of solutions below.
A.One solution?
B.No solution ?
Or
C.All solution?
Answer:
3/2, one solution.
Step-by-step explanation:
12(x-3)+18=4(2x-3)
12x-36+18=8x-12
12x-8x-18=-12
4x-18=-12
4x=-12+18
4x=6
x=6/4
simplify
x=3/2
Solve 5(11x - 2) = 155
Answer:
5(11x-2) = 155
55x - 10 = 155
55x = 165
x = 165/55
x = 3
Step-by-step explanation:
hope it helps
Its 2.4... trust me!! Line out all your numbers. Add them up to get 65. There are 10 numbers so 65 divided by 10 is 6.5. Not done yet!! Then compare 6.5 to 10, (how far away is 6.5 to each number. Then add those numbers. then you get 24, now divide 24 by 10 to get 2.5. This is the answer for (08.02)Using the following data, calculate the mean absolute deviation:
10 7 1 6 7 9 8 10 2 5
Answer: 3.1 ? Possibly
Step-by-step explanation: Hmm have a brilliant day mate.-Lily ^_^
Find the y intercept of the following line (-2,1) and (1, 2.5)
Answer:
2
Step-by-step explanation:
(-2 , 1) ; (1, 2.5)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]\frac{2.5-1}{1-[-2]}\\\\= \frac{1.5}{1+2}\\\\=\frac{1.5}{3}\\\\= 0.5[/tex]
m =0.5
y -y1 =m(x -x1)
y - 1 = 0.5(x - [-2])
y - 1 = 0.5(x + 2)
y -1 = 0.5x + 0.5*2
y - 1 =0.5x + 1
y = 0.5x + 1 + 1
y = 0.5x + 2
y-intercept = 2
c) What are zeros of f(x) = 3x2 - 12x - 36
Answer:
Zeros Calculator. The zeros of a polynomial equation are the solutions of the function f(x) = 0. A value of x that makes the equation equal to 0 is termed as zeros. It can also be said as the roots of the polynomial equation. Find the zeros of an equation using this calculator.
Step-by-step explanation:
Please mark me the brainiest if I got it right
ay you should help me with this tyty
Answer:
C. [tex]m=20[/tex], [tex]n=10[/tex]
Step-by-step explanation:
Since the triangle is a special 30°-60°-90° triangle, the hypotenuse is twice the size of the shortest leg. The long leg is [tex]\sqrt{3}[/tex] of the short leg.
Consider the sequence shown.
436, 218, 109, 54.5, 27.25,...
Select the correct explicit formula for the sequence.
a
g_n=436·0.5^{(n-1)}
b
g_n=0.5·436^{(n-1)}
c
g_n=436·2^{(n-1)}
d
g_n=2·436^{(n-1)}
Answer:
[tex](a) \to \: g_n=436·0.5^{(n-1)}[/tex]
i think the answer is
A.gn =436 . 0.5 (n-1)
A train is traveling at 30 miles per hour.
How long will it take the train to travel 180 miles?
FREE BRAINLIEST!!!
Answer:
Six hours
Step-by-step explanation:
Answer:
6 Hours
Step-by-step explanation:
If the train travels at 30mph for 6 hours it will have traveled 180 miles.
30 • 6 = 180
I hope this helps
solve for x please thanks
Answer:
x=[tex]\frac{10}{14}[/tex]
Step-by-step explanation:
y=7x-2
2(7x-2)-4x=10
14x-4-4x=10
14x-4x=10-4
10x=14
x=[tex]\frac{10}{14}[/tex]
how to solve b 2 + 5b -35 = 3b
An Atlanta football player averages 67 attempts for 518 yards. The team needs 39 yards to win the bowl game, Calculate how many attempts will be needed if the footbo player keeps the ball moving at the same rate.
I’m very confused and don’t understand anything that’s going on please help
Answer: 112, 68, 22, 90
Step-by-step explanation:
This is fairly somewhat easy
since the adjacent side of 1 is 68 degrees
then 1 would be 112 degrees to make it supplementary to 180 degrees
angle 3 is vertical of angle 68
making it 68 degrees
angle 5 is given to be 90 degrees meaning angle 4 is inbetween
angles 3 and 5 so ( 68 and 90 ) that'll add up to 158 meaning angle 4
is 22
angle 1 = 112
angle 3 = 68
angle 4 = 22
angle 5 = 90
Write a one-step equation for 85 divided by 1/4. WILL GIVE BRAINLYEST!
Answer:
340
Step-by-step explanation:
1/4 = .25
85 / .25 = 340
85 goes into 1/4 340 times
hope this helps
plz mark brainliest :)
Answer:
340
Step-by-step explanation:
85 ÷ 1/4 =
85/1 ÷ 1/4 =
85/1 • 4/1 =
340/1 = 340
What is the solution of the system of equations? y=2x+2 y=4x-2
Calculate The Slope
(10,3) and (7 , 9) = 9 – 3/ 7 – 10 = 6/-3 = -2
(4, -2) and ( 4, 3)
(2,10) and (8 , 7)
(7, 3) and (8, 5 )
(12,11) and (9 , 5)
(6, 2) and (3, 2)
Answer:
78
Step-by-step explanation:
21
Evaluate the expression 6 + 4 x {3+7}.
Answer:
46
Step-by-step explanation:
6 + 4 x {3+7} [B.O.D.M.A.S rule] (First bracket)
= 6 + 4 × 10. (Then Multiplication)
= 6 + 40. ( At last addition)
= 46 (Ans)
The simplified value of the expression 6 + 4 × {3 + 7} is 100.
What is PEMDAS rule?PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.
Given, An expression 6 + 4 × {3 + 7}.
First, we'll add 6 and 4 as 3 and 7 are inside curly brackets,
not in parentheses.
Therefore,
6 + 4 × {3 + 7}.
= 10 × {3 + 7}.
Now, we can either distribute the terms or take the addition and multiply.
= 10 × 10.
= 100.
learn more about PEMDAS rule here :
https://brainly.com/question/36185
#SPJ2
What’s the correct answer
Answer:
I guess y is also 0 not sure
Find the area of the irregular figure. (Assume that all angles are right angles) PLEASE help quick
Answer:
B
Step-by-step explanation:
you got to divide it into different shapes so I divided it into three rectangles. Area of a rectangle is Length×Width so the first triangle was 2×3=6 the second was 1×2=2 and the third was 1×3=3 then u add them and u get 11.
Answer:
B
Step-by-step explanation:
easy peasy lemon squeasy
Write the equation of a line parallel to the y-axis and passing through the point
(-3,-4).
Answer:
x = -3 is the answer. Writing this cause brainly requires a 20 character answer.
I think of a number, double it, subtract 3,
the result is 7. Evaluate the number that I first thought of.
Answer:
5
Step-by-step explanation:
2x - 3 = 7
this equation can represent the senario because the number (x) is doubles (multiplyed by 2), subtracted by 3 then equal to 7
then you can just solve for x
2x=10
x=5
How do you find the experimental probability?