Answer:
[tex]a_{n}[/tex] = 10n
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then
[tex]a_{n}[/tex] = 10 + 10(n - 1) = 10 + 10n - 10 = 10n
The sequence can be seen to be an arithmetic sequence and the common difference of the sequence is 10.
What is an arithmetic sequence?Arithmetic sequences are an essential concept in mathematics and have applications in various fields, including algebra, physics, computer science, and finance. They are widely used to model patterns and relationships in real-world situations.
Looking at the sequence we can see that the common difference d can be obtained as;
d = S2 - S1
= 20 - 10
= 10
d = S3 - S2
= 30 - 20
= 10
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There are 20 marbles in a bag. 16 are red. The remaining are white. What is the probability of selecting a red marble
Akeem bought a used video game for $38. Later, he sold it for 40% less than he paid. For how much did he sold the video game? please help, WITH EXPLANATION ASWELL !!
Answer:
£22.8
Step-by-step explanation:
Akeem bought a used video game for $38. Later, he sold it for 40% less than he paid.
First, find
40% of £38
=£15.2
Then, find the price of which he sold the video game for...
£38 – £15.2
= £22.8
Hope this helped you- have a good day bro cya)
what is the x intercept to x+4y=8
Answer:
The x-intercept is 8.
Step-by-step explanation:
To find the x-intercept, set y = 0 and solve for x
x + 4y = 8
x + 4(0) = 8
x + 0 = 8
x = 8 The x-intercept is 8
Help me please help help help help
Answer:
area of trapezium:
a+b divided by 2, times by the height.
so its 8+20=28.
28/2=14.
14*14=196.
area=196
Step-by-step explanation:
The sum of the ages of Alice, Barbie & Cindy is 30. Alice is four times older than Cindy. Barbie is 3 years older than Alice. How old is Cindy?
A. 12
B. 21
C. 9
D. 3
E. 15
D.
Explanationbecause the number have 3
Step-by-step explanation:
A+B+C = 30
A = 4C
B = A+3
=> 4C+4C+3+C = 30
9C + 3 = 30
9C = 30-3
9C = 27
C = 3
Therefore, the age of Cindy is 3 years old
(option D)
Rachna borrowed a certain sum at the rate of 15% per annum. if she paid at the end of the two years Rs.1290 as interest Compounded annually, find the sum she borrowed.
Given info:
Compound Interest = Rs.1290
Rate of Interest = 15% p.a
Time = 2 years
Formula we have to know:-[tex] \dag{\underline{\boxed{\sf{C.I = P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1}}}}[/tex]
Where
C.I = Compound Interest
P = Principle
R = Rate of Interest
N = Time
[tex]\textsf{ \underline{Solution-}}\\[/tex]
Here
C.I = Rs.1290
R = 15%
N = 2 years
Principle = ?
Now,Calculating the sum (Principle) borrowed by Rachna
[tex] \quad{: \implies{\sf{C.I = \Bigg[P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1 \Bigg]}}}[/tex]
Substituting the given values
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(1 + \dfrac{15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{(1 \times 100) + 15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \times \dfrac{115}{100} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{13225}{10000} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg( \cancel{\dfrac{13225}{10000}} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg({1.3225 - 1} \bigg) \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = P \times {0.3225}}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{1290}{0.3225} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{1290 \times 1000}{0.3225 \times 1000} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{12900000}{3225} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\cancel{\dfrac{12900000}{3225}} = P}}}[/tex]
[tex]\quad{: \implies{\sf{Rs.4000 = P}}}[/tex]
[tex]\quad{\dag{\underline{\boxed{\tt{\blue{Principle} = \purple{Rs.4000 }}}}}}[/tex]
[tex]\begin{gathered}\end{gathered}[/tex]
Hence,
The sum (Principle) is Rs.4000.
I need help on this problem i dont know if the answer is: 16 or 48,but i dont know for sure so if my guess if wrong please tell me.**Thank you so much if you help me will make brain if you answer correctly!** =3
*no links!*
Answer:
You will need 32 ounces
Step-by-step explanation:
2 pounds x 16 = 32 ounces
300 cal / 3 oz = x / 32 oz
(300 * 32) / 3 = 3,200 calories
Please solve this for me thxs
Answer:
3w + x/z + y
That is simplest form
Please help omg , this is so confusing and stressful if you do help I LOVE YOU
Answer:
20
40
60
80
Step-by-step explanation:
The ratios have to be equal so:
1/3 = x/60 Then use cross multiplication
3x = 60
x = 20
Second one
1/3 = x/120
3x = 120
x = 40
Third One
1/3 = x/180
3x = 180
x = 60
Fourth One
1/3 = x/240
3x = 240
x = 80
easy one - giving brainly!
CREATE 5 TOTAL. YOU CAN USE DECIMALS.
Answer:
2:4
3:6
4:8
Step-by-step explanation:
Calculate the surface area of the three-dimensional objects below.
BRAINLIEST!!! +10 POINTS!!! REAL ANSWERS ONLY PLEASE!!!
The function is increasing where the slope is positive. The slope is positive from 4 to infinity.
Hope this helps!! :)
If the length of the legs of a right triangle are 5 meters and 7 meters, what is the length of the hypotenuse to the nearest tenth of a meter?
Answer:
8.6 meters
Step-by-step explanation:
a² + b² = c² means leg² + leg² = hypotenuse ²
5² + 7² = hypotenuse²
25 + 49 = hypotenuse²
74 = hypotenuse ²
[tex]\sqrt{74}[/tex] = hypotenuse
8.6 = hypotenuse
-5-3x>2(10+2x)+3
help
Answer:
x < - 4
Step-by-step explanation:
- 5 - 3x > 2(10 + 2x) + 3 ← distribute parenthesis and simplify right side
- 5 - 3x > 20 + 4x + 3
- 5 - 3x > 4x + 23 ( add 3x to both sides )
- 5 > 7x + 23 ( subtract 23 from both sides )
- 28 > 7x ( divide both sides by 7 )
- 4 > x , that is
x < - 4
Solve for y
A 3
B 5
C 2
D 4
Answer:
y = 4
Step-by-step explanation:
The three lines means those segments are equal
4y+8 = 24
Subtract 8 from each side
4y+8-8 = 24-8
4y = 16
Divide each side by 4
4y/4 = 16/4
y = 4
Can I get steps on how to solve this?
Answer:divided the total buy 9 and if I’m reading correctly the total is two
Step-by-step explanation:
To find out how fast a tree grows, you can measure its trunk. A giant red oak's diameter was 248 inches in 1965. The tree's diameter had grown to 251 inches in 2005. Find the average rate of change in the diameter of the tree per year.
CLEAR CHECK
1313 inches per year
-0.075 inch per year
0.075 inch per year
3 inches per year
I think it's 0.075 inch per year
Answer:
Your answer is C. or 0.075 inches per year.
Step-by-step explanation:
251-248 = 3 ( To figure out how much it grew )
2005 -1965 = 40 ( To figure out how long it took )
3/40 = 0.075
3x-5y-7=0
X=2k-1.
Y=k
Answer:
x = 19
y = 10
Step-by-step explanation:
3x - 5y - 7 = 0
x = 2k - 1
y = k
3x - 5y = 7
x = 2y - 1
3 * (2y - 1) - 5y = 7
6y - 3 - 5y = 7
6y - 5y = 10
y = 10
x = 2 * 10 - 1
x = 19
The points A, B and C in 3D space are such that:
• AB = 10mm, AC = 17mm and BC = 28mm.
• The angle of elevation from A to B is 20°.
• The angle of elevation from A to C is 55°.
Find the angle of elevation from B to C, to the nearest degree.
Answer:
Angle of elevation= 180- (20- 55)
180- 75
105°
what should the exponent be for 11 am
Answer:
-1
---------------------
Answer:
2nd power is 121
3rd power is 1331
Step-by-step explanation:
LOL
Fill in the missing numbers to complete the division problem.Enter your answers in the boxes.6,957\div 7=6,957÷7=Remainder:
Answer:
6
Step-by-step explanation:
why because when you work this out 6,957÷7 your answer will be 993.8571...
so you take the hole number of the decimal and multiply it by 7 the answer should be subtracted from 6,957
Amal and Ji both rent out their food
trucks. The table shows the amounts
Amal and Ji charge per hour to rent their
food trucks.
Answer:
Amal and Ji rent the same amount of per hour but Amal had a starting fee of $75
Step-by-step explanation:
pLsSsS hElP mE. iM dYiNg HeRe
Answer:
1. True
2. False
3. False
4. True
5. False
Step-by-step explanation:
Answer:
Step-by-step explanation:
1- False
2- true
3- false
4- true
5- true
If 3-(x - 2) = 1/27, what is the value of x?
5
3
-1
-5
First, raise the denominator (27) to the power of 1:
3^-(x-2) = 1/27^1
Next, use the negative exponent rule that is represented by the equation of 1/b^n = b^-n and then move 27 to the numerator:
3^-(x-2) = 27^-1
Rearrange the term so that both equations have the same base:
3^-(x-2) = 3^-3
Now when noticing how this has been completed, it is noticed that since both of these equations have the same bases, the only thing left to do is have the exponents equal one another. For now, ignore the bases and focus only on the two sets of exponents -(x - 2) and (-3). Lets make a new equation with only the exponents:
-(x - 2) = -3
Next, add the distributive property on the left side of the equation to remove the - sign outside (Note: Double negatives equal positive)
-x + 2 = -3
Subtract 2 from both sides:
-x = -5
Finally, it is asking for positive x not negative, so divide both sides by -1:
x = 5
So, the answer is A which is 5.
If 3-(x - 2) = 1/27 then the value of x is a) 5.
To solve for x, we'll follow these steps:
1. Distribute:
Distribute the negative sign into the parentheses:
3 - (x - 2) = 1/27
3 - x + 2 = 1/27
Simplify:
5 - x = 1/27
2. Isolate x:
To solve for x, we need to get it alone on one side of the equation. Subtract 5 from both sides:
5 - x - 5 = 1/27 - 5
-x = -134/27
3. Multiply by -1:
To solve for x, multiply both sides by -1 to isolate x:
-1 * -x = -1 * -134/27
x = 134/27
4. Simplify:
[tex]x = \approx 4.9629[/tex]
Since none of the given options exactly match the calculated value, we can see that option a) 5 is the closest answer.
However, the precise solution is a fraction between 4 and 5, so none of the provided options is an exact match.
In summary, while none of the given options is an exact solution, the closest answer is a) 5.
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Complete Question
Choose the correct answer from the given options:
If 3-(x - 2) = 1/27, what is the value of x?
a) 5
b) 3
c) -1
d) -5
find three fraction larger than√2 and less than√3
Step-by-step explanation:
the answer is in the image above
Select the correct answer. What is the slope of the line that goes through the points (-4,1) and (4,-5)?
A. -4/3
B. -3/4
C. 3/4
D. 4/3
Answer:
b
Step-by-step explanation:
edge2020
factor completely x^2-4
Answer:
(x + 2) (x - 2)
Step-by-step explanation:
Given the quadratic expression, x² - 4:
Use the Difference of squares factoring formula:
u² - v² = (u + v)(u - v)
Determine what are possible factors that could have a product of -4:
Since -2 × 2 = -4, these can be used as factors.
Therefore, the factors of the quadratic expression, x² - 4 are:
(x + 2) (x - 2)
what is this number in standard form:
(3 x 100)+(1 x 1/10)+(4x 1/1,000)
?????????????
pls help
Answer:
300.104
Step-by-step explanation:
3x100=300
1x(1/10)=0.1
4x(1/1,000)=0.004
300+0.1+0.004=300.104
In order to save for a new computer and printer, Joseph has a summer job working at the marina where he earns $8.50 per hour. His weekly earnings are listed in the table below
The computer he wants costs $1575, and the printer costs $225. Joseph has to earn at least how much more money, m, in order to be able to afford the computer and printer?
what is the h.c.f of 18,54 and 72
Answer:
18.......................