Answer:
a) aₙ = n+5 → 6,7,8,9,10....
b) aₙ = 5n → 5,10,15,20,25...
c) aₙ = 3n+5 → 8,11,14,17,20
d) aₙ = 5n+3 → 8,13,18,23,28
Step-by-step explanation:
Explanation
Given [tex]n^{th}[/tex] term of the sequence
aₙ = n+5
Put n =1
a₁ = 1+5 =6
put n =2
a₂ = 2+5 =7
Put n=3
a₃ = 3+5 =8
and so on
The sequence 6,7,8,9,10....
b)
Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n
Put n=1 ⇒ a₁ = 5
put n=2 ⇒ a₂ = 10
and so on
5,10,15,20,25..
c)
Given [tex]n^{th}[/tex] term of the sequence aₙ = 3n +5
put n=1 ⇒ a₁ =8
Put n=2 ⇒ a₂ =11
Put n=3 ⇒ a₃ = 14
and so on
The sequence 8 , 11, 14 , 17 , 20 ..
d)
Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n +3
Put n=1 ⇒ a₁ = 8
Put n=2⇒ a₂ = 13
Put n=3 ⇒a₃ = 18
and so on
The sequence 8,13,18, 23..
8i +6 – 3i +8 simplify each expression
Answer:
5i + 14
Step-by-step explanation:
combine like terms
8i - 3i = 5i
6 + 8 = 14
rewrite expression
5i + 14
Hope This Helps!!
:)
12) 44°
acute
obtuse
right
straight
Answer:
Acute
Step-by-step explanation:
Anything bellow 90 degree is acute
Anything above 90 degree is obtuse (except 180)
A right is just 90 degrees
and straight is just 180 degrees
A box filled with many different color crayons there are 40 white crayons 24 green crayons 12 red crayons 24 golden crayons and 20 blue crayons if you have to select a crayon without looking into the box what is the probability that you will pick a white or blue crayon do you guys now the answer
Answer: The answer is 50%
Step-by-step explanation: You have to add up all of the values to get the total number of crayons. Then after, you have to divide the amount of blue and white crayons by the total amount of crayons.
Mac has taken seven maths exams this year. His average mark is 78%. What mark must he get on the eighth exam to raise his average to 80%?
Mac must get 90 on the eighth exam to raise his average to 80%.
What is average?The average is calculated as the product of all values divided by all possible values. It can also be described as mean. The mean in statistics is the average value for the particular sample or collection of data. It is determined by dividing the total number of observations by the total number of observations.
Given:
Mac has taken seven math exams this year.
His average mark is 78%.
Let x be the required score.
To find the mark to raise his average to 80%:
According to the question,
78(7) + x = 8(80)
546 + x = 640
x = 640 - 546
x = 90
Therefore, the required mark is 90.
To learn more about the average;
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please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Area = 7.853981 in^2 (2.5 Pi)
Perimeter = 11.42478 in (3.63Pi)
Step-by-step explanation:
Area
Lg semi circle area = Pi(2^2)(0.5) = 3.141593(4)0.5) = 6.283185 in^2
Sm semi circle area = Pi(1^2)(0.5) = 3.141593(2)(0.5) = 1.570796 in^2
added together = 7.853981 in^2
Perimeter
Lg semi circle perimeter = Pi(4)(0.5) + 2 = 8.283185 in
Sm semi circle perimeter = Pi(2)(0.5) = 3.141593 in
added together = 11.42478 in
Eber ran 3 miles. He stopped to take a break every 34 mile. How many times did Eber stop, including his final stop at the end of his run? Use the model to help you answer this question.
The number of times that Eber stop, including his final stop at the end of his run, will be 4 times.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Eber ran 3 miles. He stopped to take a break every 3/4 mile.
Then the number of times that Eber stop, including his final stop at the end of his run, will be given as,
⇒ 3 ÷ (3/4)
⇒ 3 x (4 / 3)
⇒ 4 times
The number of times that Eber stop, including his final stop at the end of his run, will be 4 times.
More about the Algebra link is given below.
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Please help ASAP!
thx :)
Manuel needs to buy a binder, which costs $5. He would also like to buy some folders, which cost $0.75 each. He has $12. What algebraic statement can you use to find the possible number of folders he can buy?
Doug earns $10.50 per hour working at a restaurant. On Friday he spent 1),hours cleaning, 2+)hours doing paperwork, and 10+*hours serving customers. What were Doug's earnings?A$46.97B$47.25C$53.00D$57.75
Complete question :
Doug earns $10.50 per hour working at a restaurant. On Friday he spent 1 3/4 hours cleaning, 2 1/3 hours doing paperwork, and 1 5/12 hours serving customers. What were Doug's earnings?A$46.97B$47.25C$53.00D$57.75
Answer:
$57.75
Step-by-step explanation:
The total hours spent working :
1 3/4 + 2 1/3 + 1 5/12
7/4 + 7/3 + 17/12
L.C.M = 12
(21 + 28 + 17) / 12
= 66 / 12
= 5 6/12
= 5 1/2
Hourly pay = $10. 50
Total earning :
Total hours * pay per hour
5.5 hours * $10.50
= $57.75
I wanna do good on this plz help me!!
Answer:
2/1
Step-by-step explanation:
JA is the same side as KM
JA=24, KM=12
24/12=2
What is the value of x?
Answer:
12cm
Step-by-step explanation:
At a sale this week, a desk is being sold for $133 . This is 35% of the original price.
What is the original price?
Answer:
392.35
Step-by-step explanation:
35% + 35% is 70 % so 133 +133 is 70 % witch is 269.
next we need to figure out 30 percent and they give us 35 % so. you add to zeros to 30 because percentage is out of 100 and there are 2 zeros in 100. so it look like this
3000 ÷ 133 = 22.56 is 30% of 133
70% + 30% = 100%
269 + 22.56= 291.56 is your answer
Which system below has no solution?
y=-4 * and y= 2 x-3
y= 4 * and y= 2 x - 3
y=-4* and y= 2 x + 3
y=-4-* and y= 2 x-3
Answer:
y=-4-* and y= 2 x-3
Step-by-step explanation:
Answer:
y = 4^ and y = 2 x - 3
What is the value of x in the solution of the following system of equations: 3x + 2y = 12 and 5x - 2y = 4 ?
Answer:B
Step-by-step explanation:
Answer: x= 4 − 2 y /3
Step-by-step explanation:
a) Simplify e® * e^
b) Simplify (4ab)
c) Simplify
36n'p
9np
Answer:
a)e^9
b)64a^3b^6
c)4n^3p^4
I hope It helps you have a good day.
pls help find the value of x
Please help me! ASAP! WILL GIVE BRAINLIEST!!!
The sum of the heights of two brothers is 10 feet, 4 inches. The difference between their heights is 10 inches. How tall is the shorter brother? (12 inches = 1 foot; Remember to convert into inches first and then into feet at the end.) Let the height of the taller brother = x and the height of the shorter brother = y.
4.75 ft
4.5 ft
4 ft
4.58 ft
Answer:
4.5 ft
Step-by-step explanation:
Let us assume the height of the taller brother be x
And, the height of the shorter brother be y
Now according to the question
x + y = 10.33
x - y = 0.833
Now solve these two equations
2x = 11.666
x = 5.833
y = 10.33 - 5.83
= 4.5 ft
A rectangular-shaped parking lot is to have a perimeter of 458 yards. If the width must be 51 yards because of a building code, what will the length need to be?
Answer:
178 yards
Step-by-step explanation:
458-(51 times 2)
356/2
178
Which is greater -6/24 or -2/8
Answer:
They are equal...
Step-by-step explanation:
-2/8 is simplified from -6/24 as the 6 and the 24 can be simplified. 6 goes into 24 three times.
Describe how k affects the graph of the function f(x)= -3/5(10)^x
Answer:
Part A: shift right k units
Part B: shift up k units
Part C: reflect over the x-axis
Part D: stretch by a factor of k
Step-by-step explanation:
Answer:
they go i n order
Step-by-step explanation:
In a team, the ratio of attackers : defenders is 11:7.
Given that there are 36 players in the squad, how many more attackers are there than defenders?
fast answers pls
Answer:
8 more attackers than defenders
Step-by-step explanation:
36÷18=2
2x11=22
2x7=14
Answer:
8
Step-by-step explanation:
sum the parts of the ratio, 11 + 7 = 18 parts
Divide the number of players by 18 to find the value of one part of the ratio
36 ÷ 18 = 2 players ← value of 1 part of the ratio, then
11 parts = 11 × 2 = 22 ← number of attackers
7 parts = 7 × 2 = 14 ← number of defenders
22 - 14 = 8
There are 8 more attackers than defenders
Taylor tried to solve a math equation step by step
7(y+4.5) = 32.5
7y + 4.5 = 32.5 (step one)
7y = 28 (step two)
y = 4 (step three)
In which step did taylor make a mistake or did she not make any mistakes?
Answer:
Step one - she didn't multiply the 4.5 with the 7
H E L P- A G A I N (im dum ok? also no scam answers please.)
Answer:
a.Equation :y=40-2.5x
b.straight, decreases, the same
Step-by-step explanation:
What is the measure of XZW
Answer:
∠XZW = 95°
Step-by-step explanation:
∠YXZ = 180 - 150
∠YXZ = 30°
∠XZY = 180 - (30+65)
∠XZY = 180 - 95
∠XZY = 85°
∠XZW = 180 - 85
∠XZW = 95°
What relationship do you notice between the squares of
the right triangle?
The special relationship that exists between the squares of the lengths of the sides of a right triangle is known as the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.
This is all I know.Hope it helps~Good luck with your work!!~ \^o^/Help, I have to turn this in soon
Answer:
b
Step-by-step explanation:
i got a 100 on it yesterdy
Answer:
A - Congruent segments
B - Perpendicular bisector
C - Angle Bisector
D - Congruent angles
ahhhh if someone can please help!!
Answer and Step-by-step explanation:
The y-intercept is (0, 3)
The value 3 is in the y place.
#teamtrees #WAP (Water And Plant)
If Jen run for 15 minutes and goes 120meters, how fast did she run?
Answer:
8 meters per minute
Step-by-step explanation:
120/50=8
Hope this helps! :)
Answer:
8 meters/second
Step-by-step explanation:
Divide the distance(120 meters) by the time(15 minutes) to find the answer. the formula for any speed problem is d/t.
Hope this helps!
bill paid $35.99 in tax on a laptop that cost $449.99. about what percent sales tax did bill pay
Answer:
Bill paid about 7% sales tax.
Step-by-step explanation:
First, to find the value of 1%, I divided $449.99 by 100, which gave me 4.4999. I then divided the amount paid for tax by the value of 1%. That;s $35.99 ÷ $4.4999 = 7.199439887977596. Obviously, you can't put that in your math homework, plus the question says "about," so you're going to round. Because the first number after the decimal point is less than five, you round down. Therefore, the sales tax is about 7%.