Answer:
we conclude that the rule will be:
[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]
Step-by-step explanation:
Given
[tex]a_6=3\frac{7}{12}=\frac{43}{12}[/tex]
[tex]a_1=2\frac{3}{4}=\frac{11}{4}[/tex]
We know the arithmetic sequence with the common difference is defined as
[tex]a_n=a_1+\left(n-1\right)d[/tex]
where a₁ is the first term and d is a common difference.
so
a₆ = a₁ + (6-1) d
substituting a₆ = 43/12 and a₁ = 11/4 to determine d
[tex]\frac{43}{12}=\:\frac{11}{4}\:+\:5d[/tex]
switch sides
[tex]\frac{11}{4}+5d=\frac{43}{12}[/tex]
subtract 11/4 from both sides
[tex]\frac{11}{4}+5d-\frac{11}{4}=\frac{43}{12}-\frac{11}{4}[/tex]
[tex]5d=\frac{5}{6}[/tex]
Divide both sides by 5
[tex]\frac{5d}{5}=\frac{\frac{5}{6}}{5}[/tex]
[tex]d=\frac{1}{6}[/tex]
as
a₁ = 11/4
[tex]d=\frac{1}{6}[/tex]
Therefore, the nth term of the Arithmetic sequence will be:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting d = 1/6 and a₁ = 11/4
[tex]a_n=\frac{11}{4}+\left(n-1\right)\frac{1}{6}[/tex]
[tex]=\frac{11}{4}+\frac{1}{6}n-\frac{1}{6}[/tex]
[tex]=\frac{31}{12}+\frac{1}{6}n[/tex]
Therefore, we conclude that the rule will be:
[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]
will give brainliest! thanks :)
Answer: A
Step-by-step explanation:
Answer:
A is the answer
Step-by-step explanation:
Congruent means same size and the same shape, but they may not be the same orientation
Write 6.7% and 0.056% as a simplified fraction ( please )
Answer:
67/1000 and the other one is 7/12500
PLEASE HELP ITS DUE TODAY!!
3. choice a (work shown in attached image)
4. Choice a (work shown in attached image)
Answer:
3a and 4a
Step-by-step explanation:
3. v = [tex]\pi r^{2} h[/tex]
v = 3.14 x 4.1^2 x 5
v = 263.917 or 263.92
4. v = 4/3[tex]\pi r^{3}[/tex]
v = 4/3 x 3.12 x 3.65^3
v = 203.59
50!!!!! Points If Jess wants to graph the solution to the system of equations below,
which of the following graphs would represent the solution?
ſ3x - y = -1
(x+y - 5
The graph that represents the solutions to the system of equations is Option A.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
3x - y = -1 _____(1)
x + y = 5 ______(2)
From (1),
3x + 1 = y
From (2),
y = 5 - x
The point of intersection is (1, 4).
3x + 1 = 5 - x
4x = 4
x = 1
Putting x = 1 in (2).
1 + y = 5
y = 5 - 1
y = 4
The graph on option A has the point of intersection at (1, 4).
Thus,
The graph that represents the solutions to the system of equations is Option A.
Learn more about coordinates here:
https://brainly.com/question/13118993
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How does saving money in an account with compound interest help protect you from inflation?
Answer:
Inflation is caused by the increase in prices of goods, and as prices of goods rise, the value of money itself would decrease. By saving money in a savings account with interest that might be equal or more than the level of inflation, your money would increase, which protects you from the devaluation of the savings you hold and the rising prices of goods.
a vendor bought n dozen eggs at the rate of 22.6 of the rotating he sold the remaining acts at the rate of 2.50 per act find his profit or loss
Answer:
Your question was a bit confusing so I found another related question. You can reference it with your own details.
A vendor bought 10 dozen eggs at the rate of Rs 22 per dozen. Six of the eggs were rotten. He sold the remaining eggs at the rate of Rs 2.50 per egg . Find his profit or loss
Vendor bought 10 dozen eggs which means the vendor bought:
= 10 * 12 eggs
= 120 eggs
6 were rotten and he sold the rest for Rs. 2.50 per egg.
= (120 - 6) * 2.5
= Rs. 285
The amount he spent on the eggs was:
= 10 dozen * 22
= Rs. 220
Profit = 285 - 220
= Rs. 65
Find the percent of decrease from 32 to 8
Answer:
75%
Step-by-step explanation:
Find the percentage of 8 out of 32
8/32 times 100 = 800/32 = 25%
8 is 25% of 32, so the percentage to fall from 32 to 8 is 75%because
100% - 25% = 75%
if you have a rate of 75 miles per 3 hours how many miles are in 1 hour
Someone please look at the picture above and help!!! Please thank you very much
HELP ME PLEASE! I DONT HAVE THAT MANY POINTS SO IT WORTH THE REST OF MY POINTS!
Answer:
1) 8
2) 20
3) 10.8
4) -25
5) 7
6) 3/2
Step-by-step explanation:
What is the value of the expression below when y=6y=6?
6y-1
6y−1
Answer:
The value of expression 6y-1 will be 35 when y=6.
Step-by-step explanation:
Given expression is:
6y - 1
We have to find the value of expression when y=6
Putting y=6 in the given expression
6*6 - 1
36 - 1
35
The value of the expression will be 35 for y=6
Hence,
The value of expression 6y-1 will be 35 when y=6.
The length of a rectangle plus its width is 32
cm. The area is 112 square cm. What are the
length and width of the rectangle?
Separate the answers with a comma.
Answer:
l = 28 cm and b = 4 cm
Step-by-step explanation:
Let the length be l and the breadth be b.
ATQ,
l+b = 32
l=32-b ....(1)
Area of rectangle, A = 112 cm²
We need to find the length and width of the rectangle
The formula for the area of a rectangle is given by :
lb = 112 ...(2)
From equation (1) and (2).
(32-b)b = 112
From above equation, b = 4 cm
Put the value of b in equation (1)
l=32-4
= 28 cm
Hence, the length and width of the rectangle is 28 cm and 4 cm.
Find the original price. Discount is 30%. Sale price is $206.50
Jackson wants to save more than $350 for his summer vacation. Which of the following number lines represents the inequality showing how much money (m) Jackson wants to save
Answer:
The answer would be D the fourth option
Step-by-step explanation:
Answer:
THX 4giqhwrgwnxthni43gjlregyirjhlrkgjwnrntp98xwwwwwwweromrutkrenog
Step-by-step explanation:
please help asap please
Answer:
2/5
Step-by-step explanation:
1. ¿Cuál de las siguientes fracciones es una fracción MIXTA ?
(2 Points)
O 3 8/6
O 9/3
O 3 6/8
4/3C, when C=6
show your work here
4 divided by 3C
If C equals 6, then the equation now looks like 4 divided by 3(6).
3 x 6 = 18.
4 divided by 18 is .22 repeating.
This may be wrong. Check with another answer.
Answer: 2/9
Work: So, you are going to get the equation after plugging in the number 4/3(6), after simplifying even more, you get 4/18. Then you simplify again and divide both sides (Numerator and denominator) and you get 2/9.
I hope this helps, and Happy Holidays! :)
help me quick!!!!!!,!,!!
Answer:oof
Step-by-step explanation:
Henry drives at a speed of 80 miles per hour.
How long will it take to drive 400 miles?
Answer:
5hrs
Step-by-step explanation:
...................
Please help! im struggling
Help plz:)))I’ll mark u Brainliest
Answer:
The answer is A
Step-by-step explanation:
HELP FAST PLZZZZ Use what you know about angles to solve for X.
105°
(2x-11)°
For the problem 4 x 2/3, Dawn says the answer is 6. Marry Anne says the answer is 3 1/3. Stacy says it is 2 2/3. Who is correct?
Answer:
Stacy is correctStep-by-step explanation:
Solving the problem
4×2/3 = 8/3 = 2 2/3Stacy is correct
Answer:
[tex]\huge 4 \times \frac{2}{3} = \frac{8}{3} =\boxed{2 \frac{2}{3} }[/tex]
Hence, Stacy is correct.Which list contains values that are all part of the solution set of the graphed inequality?
2, 1, 3.9, 4
1.3, 4, 0, 2.6
1.1, 1.5, 19.7, 8.2
11, 1, 48.5, 7
Answer:
you're answer will be C.
Step-by-step explanation:
have a great day or night✨
Answer:
C. 1.1, 1.5, 19.7, 8.2
Step-by-step explanation:
Assume that random guesses are made for multiple choice questions on an SAT test, so that there are n = 8 trials, each with probability of success (correct) given by p = 0.25. Find the indicated probability for the number of correct answers. Find the probability that the numbers of x of correct answers is fewer than 4.
Answer:
Concept: Statistical Modeling
N= 8 trials P= 0.25 or 1/4 chance You have 8 * 1/4 = 2 correct[tex](p < .50) = \frac{1}{8} [/tex]evaluate each expression |-16| -|-1|
Understanding the Absolute Value.
First, know what the absolute value is.
The absolute value is the value that determines how far the value is from 0.
For example, The absolute value of -5 is far from 0 5 units. Therefore the absolute value of -5 equals 5.
Basic Absolute Value Defines
| a | = a
- | a | = -a
| - a | = a
Back to the question. To evaluate those expressions, we use the defines of absolute value.
|-16| = 16
|-1| = 1
16-(1)
Then remove the brackets. 16 - 1 = 15
Therefore, the answer is 15.
The answer above is when being subtracted and evaluated from both 16-1
Evaluating for each expressions would be
|-16| = 16
-|-1| = -1
What multiplication fact can be found by using the arrays for 2x9 and 5x9
Answer:
The answer is "7x9". When added together or in the verbiage of the question "can be found by using the arrays".
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
A store sells a package of 25 trading cards for $5.25. What is the unit price per card?
no trolls help asap pls!!
Answer:
Cannot be proven congruent due to it being AAA
Will mark the brainliest
Answer:
Chicken wing chicken wing hot dog and bologna chicken and macaroni chilling with my Homies because I’m not a macaroni
Step-by-step explanation: