Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n)=6+(n-1)(1/5)
Answer: a’(n)=1/5
Step-by-step explanation:
The first term is 6, the fourth term is 6.6, and the tenth term is 7.8 in the arithmetic sequence.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The given rule for the arithmetic sequence is:
A(n) = 6 + (n - 1)(1/5)
To find the first term, substitute n = 1 in the formula:
A(1) = 6 + (1 - 1)(1/5)
A(1) = 6 + 0
A(1) = 6
Therefore, the first term of the arithmetic sequence is 6.
To find the fourth term, substitute n = 4 in the formula:
A(4) = 6 + (4 - 1)(1/5)
A(4) = 6 + 3/5
A(4) = 6.6
Therefore, the fourth term of the arithmetic sequence is 6.6.
To find the tenth term, substitute n = 10 in the formula:
A(10) = 6 + (10 - 1)(1/5)
A(10) = 6 + 9/5
A(10) = 7.8
Therefore, the tenth term of the arithmetic sequence is 7.8.
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Unit 4, Lesson 4 Cool-down 4.4 Mis-Steps
Lin solved the equation 8( x - 3 ) + 7 = 2x( 4 - 17 ) incorrectly.
Find the errors in her solution. What should her answer have been?
Lin's solution:
8( x - 3 ) + 7 = 2x( 4 - 17 )
8( x - 3 ) + 7 = 2x(13 )
8x - 24 + 7 = 26x
8x - 17 = 26x
-17 = 34x
-½ = x
Divide. Give the exact answer, written as a decimal.
Answer:
15.6
Step-by-step explanation:
Which of the following is NOT a method to solve a system of equations?
O Absolution
O Substitution
OElimination
O Graphing
Answer:
•Absolution is not a method to solve system of equation
please help it's easy
A football team scored 80% of a total of 500 points in the first 11 games of the season. Fill in the model to show 80% of 500
The model that shows the statement of 80% of 500 will be equal to 400 points.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given data in the question,
Total number of points in the game = 500 points
Total percentage of score done by the team = 80% of total points
Then, the points will be,
= (500 × 80)/100
= 40,000/100
= 400 points.
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Someone pleaseee help!! I’ll give brainliest!!
.....................
Answer: 65.97 yd^3
Step-by-step explanation:
The equation to find the volume of a cone is: v=[tex]\pi r^{2} \frac{h}{3}[/tex]
So, v = [tex]\pi[/tex] (3^2)(7/3) = 65.97345 yd^3
Prove that the point (2, 1) lies on the line with equation y = 3x – 5.
Answer:
3(2) - 5 = 1
Step-by-step explanation:
y = 3x - 5
(x, y)
plug x and y in
1 = 3(2) - 5
1 = 6 - 5
1 = 1
true
Hello! Can someone please help? I would really appreciate it! Thx! :)
Answer:
55
Step-by-step explanation:
a line is 180° so you subtract 180 by 125 and you get 55
Answer: Either 45 or 55 degrees
Explanation: The angle of number 5 is acute or in other words small therefore it cannot be 145 degrees or 125 degrees. Seeing how small #5 is I would go for 55 degrees. If you do 180 (the measure of the line) - 125 = 55
Answer this for brainilest and 30points (no links or internet answer or you will get flagged
Answer:
C is 3..............................
which data set has the smallest IQR
73/75
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What is the area of the square?
What’s the area of the circle
Answer:
Square: 144 m²
Circle: 113.04 m²
Step-by-step explanation:
The formula for area of a square: side × side.
The formula for area of a circle: r²π (radius × radius × pi)
**SQUARES HAVE EQUAL SIDES**
As shown in the photo, the side lengths of the square are 12.
side × side
12 × 12 = 144
Therefore, 144 m² is the area of the square.
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The diameter of the circle is 12 as well.
But, to find the area of the circle, we need the radius.
To find the radius of a circle, divide the diameter by 2.
12 ÷ 2 = 6.
6 is the radius.
Now we plug the numbers into the equation.
**3.14 IS A SUBSTITUTE FOR PI**
r²π (radius × radius × pi)
6²π (6 × 6 × 3.14) = 113.04
Therefore, 113.04 m² is the area of the circle.
Answer:
the person above me is correct
Step-by-step explanation:
Using the formula for the area of a triangle, area=1/2*base*height , write an expression for the area of ΔABC. This time, base your answer on the work you did in part E. Show your work. The graph so far is provided.
Did you ever get the answer?
I did mine but i don’t know if it’s correct (I haven’t submitted it yet)
Area = 1/2 * base * height
Base= b = 20
Height = BD = 9.05
Area = 1/2 * 20 * 9.05
Area = 90.5 units squared
The expression for the area of ΔABC will be A = 1/2 x CA x BD, and the area is 90.5 square units.
What is the area of the triangle?The area of the triangle is given as
A = 1/2 x B x H
Where B is the base and H is the height of the triangle.
Then the expression for the area of ΔABC will be
A = 1/2 x CA x BD
A = 1/2 x 20 x 9.05
A = 90.5 square units
More about the area of the triangle link is given below.
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2.5x=5 step to slove
choose true or false for each statement about the equation (x+14)^1/2 = x+2
Answer:
The answer is false
Hope this helps !
Mark me brainliest if I'm right :)
what is the opposite of -(-8)?
Answer:
the opposite of -8 is 8
Step-by-step explanation:
Step-by-step explanation:
We have to find the additive inverseSo multiply (-)[tex] \rm \mapsto \: - ( - ( - 8) \\ \rm \mapsto \: - ( + 8) \\ \rm \mapsto \: - 8[/tex]
ANSWER ASAP NO LINKS WILL GIVE BRAINLIEST
a place from this table is chosen at random let event 4= the place is a city what is p(a^c)
a 3/7
b 4/7
c 2/7
d 5/7
Answer:
A
Step-by-step explanation:
please help!! i will give brainliest! links = report
Answer:
There Will be one cookie left.
Step-by-step explanation:
She is wrong Becuase if you eat 4 cookies there is two left. So if you put it on 5 there would only be 1 left.
What is the sum of (3x + 5) and (4x - 4)?
Answer:
7x+1
Step-by-step explanation:
(3x+5) + (4x-4)
3x+4x+5+(-4)
7x+5+(-4)
7x+5-4
7x+1
Item 7
Michael arrives at the basketball court at 5:52 p.m. He plays basketball for 1 hour 12 minutes.
What time does Michael stop playing basketball?
6:04 p.m.
7:02 p.m.
7:04 p.m.
7:12 p.m.
Answer:
he stops playing at 7:04
Step-by-step explanation:
You're playing a game where you defend your village for me or evasion there are three characters of habit or human and five defensive tools magic sword shield slingshot or umbrella to pick from if you randomly choose your character into what is your probability that you won't be a hobby or use an umbrella
Answer:
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]
Step-by-step explanation:
Your question is poorly formatted (See comment section for complete question)
Given
[tex]x = \{elf, hobbit, human\}[/tex] ---- characters
[tex]n(x) =3[/tex]
[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex] --- tools
[tex]n(y) = 5[/tex]
Required
The probability that your character won't be a hobbit or your tool won't be an umbrella?
First we calculate the probability of choosing a hobbit.
[tex]x = \{elf, hobbit, human\}[/tex]
[tex]n(hobbit) = 1[/tex]
So:
[tex]P(hobit) = \frac{n(hobbit)}{n(x)}[/tex]
[tex]P(hobit) = \frac{1}{3}[/tex]
Using the complement rule, we calculate the probability of not choosing a hobbit
[tex]P(Not\ hobbit) = 1 - P(hobbit)[/tex]
[tex]P(Not\ hobbit) = 1 - \frac{1}{3}[/tex]
[tex]P(Not\ hobbit) =\frac{2}{3}[/tex]
Next, we calculate the probability of choosing an umbrella.
[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex]
[tex]n(Umbrella) = 1[/tex]
So:
[tex]P(Umbrella) = \frac{n(Umbrella)}{n(y)}[/tex]
[tex]P(Umbrella) = \frac{1}{5}[/tex]
Using the complement rule, we calculate the probability of not choosing an umbrella
[tex]P(Not\ Umbrella) = 1 - \P(Umbrella)[/tex]
[tex]P(Not\ Umbrella) = 1 - \frac{1}{5}[/tex]
[tex]P(Not\ Umbrella) = \frac{4}{5}[/tex]
The required probability is calculated using:
[tex]P(A\ or\ B) = P(A) + P(B) - P(A)P(B)[/tex]
In this case;
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = P(Not\ hobbit) + P(Not\ Umbrella) -[/tex] [tex]P(Not\ hobbit)*P(Not\ Umbrella)[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{2}{3} * \frac{4}{5}[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{8}{15}[/tex]
Take LCM
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{10+12-8}{15}[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]
Which angle ALWAYS has the same measurement?
1. Acute angle
2.Right angle
3.Obtuse angle
Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27 pi cm^3 cubed of melted purple liquid. The radius of the cone is 3 cm.
What is the height of the cone?
Either enter an exact answer in terms of pi or use 3.14 for pi.
Answer:
9 cm
Step-by-step explanation:
Use the cone volume formula, V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
Plug in the volume and radius, and solve for h, the height:
V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
27[tex]\pi[/tex] = [tex]\pi[/tex](3²)[tex]\frac{h}{3}[/tex]
27[tex]\pi \\[/tex] = 9[tex]\pi[/tex][tex]\frac{h}{3}[/tex]
3 = [tex]\frac{h}{3}[/tex]
9 = h
So, the height of the cone is 9 cm
How do you find the slope from a equation
Answer:
For example the equation is y=3x+4 ... the slope would be 3
It's the number coming before the x variable
Please answer (IN school) 32.4-0.78
Answer: 31.62
Step-by-step explanation:
It takes a snail 50 hours to travel 22 miles. At this rate, how many hours will it take the snail to travel 11 miles?
Answer: 25 hours
Step-by-step explanation:
Answer:
25 hours
Step-by-step explanation:
Condense the expression to a single logarithm. 3 log subscript 5 10 - 12 log subscript 5 7
Answer:
A is correct
Step-by-step explanation:
Mathematically from logarithmic laws, we have it that;
x log a = log a^x
and also;
log a - log b = log (a/b)
So we have;
log 5 10^3 - log 5 7^12
and finally log 5 (10^3/7^12)
Please help math problem
Answer:
Step-by-step explanation:
Solve the problem below. Math
Answer:
1.how much did he spend in both stores?
2.how much he has left?
3. 65,85
4. first of all you find how much he spend and then how much he has left.
5. 21,15
Can someone help plz
Answer:
1. Jesús Colón is trying to debate weather or not to help the woman and her two young children. He thought it was a good idea because she was carrying a suitcase and a baby but at the same time he wasn't so sure because he was worried about what the woman would think and if she was racist or prejudice. He even was afraid that the woman would try talk to him in mean ways or to discriminate him just because he was both African and Puerto Rican.
2. Colón had his reputation at stake in this decision due to what the woman would do exactly. Since he didn't help the woman he regretted it and believed he should have helped her even if it would have costed him.
3. I believe he wrote this story to explain that simple actions can lead to a huge change in the future. For example if you see some one who is mean and they need help and you help them then that one mean person can become a really nice person in return just from your actions.
4. I would have helped the woman even though the circumstances because no matter my skin color, reputations, or the way i look i would help anyone because they may not know but deep down i am a good person. And you should not judge a book by its cover.
5. I would not care what others think even though i might fell that its not my place to do something i would do it anyway because nothing can change me. Words may be mean but they can not hurt me.
Step-by-step explanation:
I read everything and answered based on my thoughts and feelings and the text. Have a nice day :)
-- oh and if its wrong i am truly sorry but it shouldn't be wrong XD