Answers
Answer:
an = 22 -6(n -1)
Step-by-step explanation:
The first term of the sequence is given as a1 = 22. The general term of an arithmetic sequence is ...
an = a1 +d(n -1) . . . . n-th term for first term a1 and common difference d
The third term will be ...
a3 = 10 = 22 +d(3 -1)
Then the common difference is ...
10 -22 = 2d
-12/2 = d = -6
__
Putting the known values into the formula for the general term, it becomes ...
an = 22 -6(n -1)
__
This can be simplified to ...
an = 28 -6n
Related Questions
Write 2^100 as a power with the following base of 32.
Answers
Answer:
your answer is 30
Step-by-step explanation:
I have completed the test
Plz help. I need this by tomorrow or I’ll get detention.
Answers
[tex]\dfrac{6+ \sqrt{27}}{4-\sqrt3} \\\\\\=\dfrac{\left(6+\sqrt{27}\right)\left(4+\sqrt 3 \right)}{\left(4-\sqrt 3\right) \left(4+\sqrt 3\right)}\\\\\\=\dfrac{24+6\sqrt 3+4\sqrt{27}+\sqrt{27\cdot 3}}{4^2 - \left(\sqrt 3 \right)^2}\\\\\\=\dfrac{24+6\sqrt3+4\sqrt{9\cdot 3} +\sqrt{81}}{16-3}\\\\\\=\dfrac{24+6\sqrt 3 +12\sqrt 3 + 9 }{13}\\\\\\=\dfrac{33+18\sqrt 3}{13}\\\\\\\text{Hence, r = 33 and s = 18}[/tex]
The difference between a and 10 is less than 5
Answers
Solve the system of equations -x+ 2y = –11 and 5x – 8y = 39 by
combining the equations.
Answers
Answer:
x=-5, y=-8. (-5, -8).
Step-by-step explanation:
-x+2y=-11
5x-8y=39
---------------
5(-x+2y)=5(-11)
5x-8y=39
---------------------
-5x+10y=-55
5x-8y=39
--------------------
2y=-16
y=-16/2
y=-8
-x+2(-8)=-11
-x-16=-11
-x=-11+16
-x=5
x=-5
Write an exponential function to model each situation. Find each amount after the
specified time.
A population of 1,236,000 grows 1.3% per year for 10 years
Answers
After 10 years, the population would grow to become 17,039,309.59 people. You can round up to 17,039,310 people if the question asks to round to the nearest person.
What is the answer to X=7-3y And 2x-4y=-6
I need it
Answers
Answer:
x = − 3 y + 7
Step-by-step explanation:
Reorder 7 and − 3
The property of 12x2-7=6-2x2+2
Answers
14x^2-15=0
a=14 , b =0 , c=-15
0^2-4x14x(-15) =
840
What persent of 240.00 is 60?
Answers
Answer:
(240 × 60)/100 = 144
Step-by-step explanation:
(Whole × Percent)/100 = Part
Answer:
25%
Step-by-step explanation:
60 times 4 is equal to 240.
1/4 is 25%
60 is 25% of 240
Daniel went to Target and bought a magazine for $5.99, a book for $15.99, and a DVD for $20.99. What was his total bill including 6% sales tax?
Answers
.06 times 42.97= 2.58
2.58+42.97= 45.55
what is ur favorite character from boondocks mine is Riley freeman and also Huey freeman
Answers
Answer:lol
Step-by-step explanation:
PLEASE NO LINKS AND NO NEGATIVITY
Answers
Explanation: The order of operations is distributive property so think of it as
(1/2 • 8) - (1/2 • 4g) Also just think of dodging 8 and 4 by two since 1/2 in a number format is .5 and 8 mutuales by .5 is 4 and 4 is 2.
Hope this helps!
Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/5 and passes through (-4,-3)?
A.X=-4
B.X=-3
C. y=-5
D. y=-3
Answers
Step-by-step explanation:
The answer is b for sure.
will mark brainleist pls help
Answers
Step-by-step explanation:
Angle c + angle d = 180° ( linear pair)
given,
angle c = 5x + 9
angle d = 5x - 6
now,
5x + 9 + 5x - 6 = 180
10x + 3 = 180
10x = 180 - 3 = 177
10x = 177
x = 177/10 = 17.7
so,
angle C = 5x + 9 = 5(17.7) + 9 = 97.50°
angle D = 5x - 6 = 5(17.7) - 6 = 82.50°
Hope this answer helps you dear! take care!.
Help again please
A stack of 400 pieces of paper is 1.800 inches tall.
A. Derion guesses that each piece of paper is 0.015 inches thick. Explain how you know that Derion’s answer is not correct.
B. Compute the thickness of each piece of paper. Show your reasoning.
Answers
Mrs. Woerner went to Alaska and the temperature decreased by 13 degrees. What integer represents this situation? pls help me I give u brainliest
Answers
Answer: -13
Step-by-step explanation:
Kate took out a subsidized Stafford loan worth $9,710 to pay for college. The interest rate on the loan was 5. 9%, compounded monthly. It took Kate 5 years to pay off the loan after graduation. What portion of the total amount she paid represented the interest? a. $11,236. 22 b. $9,710. 00 c. $1,526. 22 d. $2,942. 37.
Answers
Answer:
the answer is 10,0000
Step-by-step explanation:
Find x, given the slope is -2. (x,-6) (-6,10)
Answers
Answer:
x= 2
Step-by-step explanation:
[tex]\boxed{slope = \frac{y _{1} - y_2}{x_1 - x_2} }[/tex]
Substitute known values into the formula:
[tex] - 2 = \frac{ - 6 - 10}{x - ( - 6)} [/tex]
[tex] - 2 = \frac{ - 16}{x + 6} [/tex]
-2(x +6)= -16
Divide both sides by -2:
x +6= -16 ÷(-2)
x +6= 8
Subtract both sides by 6:
x= 8 -6
x= 2
What is the slope of the line through (2, -1) and (-2, -3)?
Answers
[tex]\text{Given that,}\\\\\\(x_1,y_1) = (2,-1)~~\text{and}~~ (x_2,y_2) = (-2,-3)\\\\\\\text{Slope,}~ m =\dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-3+1}{-2-2} = \dfrac{-2}{-4} = \dfrac 12[/tex]
Answer:
Step-by-step explanation:
Using slope formula:
(y2-y1)/(x2-x1)
(-3 + 1) / (-2-2)
-2/-4
slope: 1/2
It is 5:15 pm now. What time will it be in 40 minutes?
Answers
Answer:
5:55 pm
Step-by-step explanation:
Answer:
5:55pm
Mark brainlest if correct
Step-by-step explanation:
A medication with an initial concentration of 1. 5 milligrams per liter is administered to a
patient, and the decay rate of the drug is 10% per hour. Which equation can be used to model
the concentration, C, of the drug in the patient’s body as a function of time, t, in hours since the
drug was administered?
Answers
Answer: Exponential decay model:
y
=
x
(
1
−
r
)
t
, half life of tablet is about
2
hours and after
t
=
3
hours , remaining drug on patient's system is
42.875
mg.
Step-by-step explanation: Initial drug
x
=
125
mg ; rate of decay
r
=
30
100
=
0.3
gm/hour
Exponential model:
y
=
x
(
1
−
r
)
t
=
125
(
1
−
0.3
)
t
=
125
⋅
0.7
t
Half life:
y
=
125
2
=
62.5
mg
∴
62.5
=
125
⋅
0.7
t
or
0.7
t
=
1
2
. Taking logarithm on both sides we get ,
t
log
(
0.7
)
=
log
(
0.5
)
∴
t
=
log
(
0.5
)
log
(
0.7
)
≈
1.94
(
2
d
p
)
hour
The half life of tablet is about
2
hours.
After
t
=
3
hours , remaining drug on patient's system is
y
=
125
⋅
0.7
t
=
125
⋅
0.7
3
=
42.875
mg [Ans]
What are the real and imaginary parts of the complex number ? 16 + 3i
Answers
Answer:
Real - 16 Imaginary - 3i
Step-by-step explanation:
If the number has i with it, it's imaginary. If it doesn't have i with it, it's real
Alex drives at an average speed that is 1 6 of the average speed that Roy's train travels. Alex takes 20 minutes to travel 12 km in her car. Roy travels for 2 hours and 20 minutes on his train. How far does Roy travel to 2 dp?
Answers
Answer:
336.00?
not 100% sure though
Mateus recorded the number of miles driven and the amount
of gasoline used in the table below.
Gas Mileage
Distance Gas Usage
(in miles) (in gallons)
105
5
210
10
315
15
420
20
At this rate, what is the maximum miles that can be driven
with 12 gallons of gasoline?
A) 220 miles
B) 236 miles
C) 252 miles
D) 262.5 miles
Answers
Answer:
C. 252 miles.
Step-by-step explanation:
Since we already know how many miles is driven for 10 gallons of gas, we only need to find 2.
Since 105 miles runs on 5 gallons, divide 105 by 5 to find out how many miles runs on 1 gallon.
105/5=21
Then, multiply that by 2 to find out how many miles run on 2 gallons of gas.
21x2=42.
Finally, add 42 to 210 to get the amount of miles that runs on 12 gallons of gas.
210+42=252
The chess clubs at school decides to give $400 to a charity at Christmas time. If the chess club raised $1,000 fund raising. What percent of the fund raiser did they donate to charity
Answers
Answer: 40%
Step-by-step explanation:
To find the percent, divide the amount donated by the full amount of money raised. 400/1000 = 0.4.
Now to make this into a percentage, multiply the answer by 100. 0.4 * 100 = 40.
Percent of the fund raiser did they donate to charity 40%
What is percentage ?In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Percentages have no dimension. Hence it is called a dimensionless number. If we say, 50% of a number, then it means 50 per cent of its whole.
To find the percent,
divide the amount donated by the full amount of money raised. 400/1000 = 0.4.
Now to make this into a percentage,
multiply the answer by 100. 0.4 * 100 = 40.
To learn more about the percentage here:
https://brainly.com/question/29224972
#SPJ7
Is (3, 0) a solution to the equation y = 5x + 3? *
1 point
Answers
Answer:
no
Step-by-step explanation:
Substitute x = 3 into the equation and if the result is 0 then it is a solution
y = 5(3) + 3 = 15 + 3 = 18 ≠ 0
Then (3, 0 ) is not a solution to the equation
If the points (2,7),(-3,3) and (5,1) are the vertices of a triangle ,find the length of the median drawn through the first vertex.
Answers
Answer:
√26 ≈ 5.10 units
Step-by-step explanation:
The midpoint to which the median is drawn is ...
M = (B +C)/2
M = ((-3, 3) +(5,1))/2 = (-3+5, 3+1)/2 = (2, 4)/2 = (1, 2)
The distance between the first vertex and this point is given by the distance formula.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((2 -1)^2 +(7 -2)^2) = √(1^2 +5^2) = √26 ≈ 5.0990 ≈ 5.10
The length of the median is √26 units.
3. Avery noticed that of the apples in a basket are red. There are 45 red apples in the basket.
(a) Represent the situation with an equation. Use a for the variable.
(b) Solve the equation in Part (a). Show your work.
(c) What does the solution of the equation represent in the situation?
Answers
Answer:
Step-by-step explanation:
Something missing in "noticed that of the apples." Perhaps "that 40% of . . .?"
But I'll try to answer, using an example:
Avery noticed that 30% of the apples in a basket are red. There are 45 red apples in the basket.
To find the total number of apples, X:
(0.30)X = 45
X = 150 apples total. 45, or 45/150, is 0.3 0r 30%.
Kelly has a scarf that is 22 inches long. She folds the scarf in half
three times. How long is the scarf now?
Answers
Answer:
2.75 inches or 2 3/4 inches
Step-by-step explanation:
22 / 2 = 11
11 / 2 = 5.5
5.5 / 2 = 2.75
Carson rides his bike for 30 mins each day he rides a total of 12 miles every 3 days how many days will it take to ride a total of 80 miles
Answers
Answer:
20 days
Step-by-step explanation:
If he rides 12 miles every 3 days, then he rides 4 miles in one day. Divide 80 / 4 and you get 20 days.
Hs math need help on triangle
A 100 , 100 , 160
B 100 , 100 , 100
C 100 , 60 , 20
D 100 , 40 , 40
Answers
Answer:
Option D.Step-by-step explanation:
It must be option D because an isosceles triangle always have two angles the same measure and must be a total of 180°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Let other two angles be x
[tex]\\ \tt\Rrightarrow x+x+100=180[/tex]
[tex]\\ \tt\Rrightarrow 2x+100=180[/tex]
[tex]\\ \tt\Rrightarrow 2x=80[/tex]
[tex]\\ \tt\Rrightarrow x=40[/tex]
Option D is correct