The formula that defines the sequence is Tn = 4n - 2
Given the following sequence 2, 6, 10, 14, 18
From the sequence:
First-term a = 2
Common difference d = 6 - 2 = 10 - 6 = 4
Since there is a common difference, the sequence is an arithmetic sequence.
The nth term of the arithmetic sequence is expressed as:
[tex]T_n=a+(n-1)d[/tex]
Substitute the given data into the formula:
[tex]T_n=a+(n-1)d\\T_n=2+(n-1)(4)\\T_n=2+(4n-4)\\T_n=2+4n-4\\T_n=4n-2\\[/tex]
This shows that the formula that defines the sequence is Tn = 4n - 2
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Write the expression that represents this phrase: 5 less than z
Answer:
5-z
Step-by-step explanation:
5 less then z
Less then: subtraction
Hope it Helped!
On Thursday, a website received x advertisement orders. On Friday, the website received 8 more advertisement orders than on Thursday. The expression 2x + 8 represents the total number of advertisement orders received over two days. What does the "+8" mean in the expression 2x + 8? the number of days the total number of advertisement on both days how many more advertisements were ordered on Friday than Thursday the number of advertisement ordered on Friday
Answer:
2x+8
Step-by-step explanation:
Answer:
"how many more advertisements were ordered on Friday than Thursday"
Step-by-step explanation:
Someone help, AA, SAS, SSS NOT SIMILAR?!!!
Answer:
answer is AA criteria
hope it helps.
Answer:
aa
Step-by-step explanation:
its aa because the tringle degree on top is 50 degrese for both
The local humane society is restocking on cat food to prepare for kitten season. Very young kittens need kitten formula which costs $3.99 per bottle. Older kittens need wet cat food which costs $1.50 per can. Part A: Write an algebraic expression to describe how much the humane society will spend preparing for kitten season. Part B: How much money (before tax) will the humane society spend if they buy 30 bottles of kitten formula and 120 cans of wet cat food? Part C: If you add a 7% sales tax to the purchase of bottles of kitten formula and cans of wet cat food, write a new expression accounting for sales tax.
Answer:
A. 3.99b+1.50c
B. 119.70+180= $299.70
C. (3.99b×0.07)+(1.50c×0.07)
WILL GIVE BRAINLIEST How much ones are in one ten?
10 i think maybe not so dont except me right oh it is nv
What is the value of the expression below?
Answer:
10.
Step-by-step explanation:
1) 2(32-(4-1)^3)
2) 2(32-3^3)
3) 2(32-27)
4) 2*5
Answer: 10
The number is x. Write the mathematical expression for: Five more than the product of the number and six. The mathematical expression is _ NOTE: Make sure that there are NO SPACES between the numbers and the operations. The number is x. Write the mathematical expression for: Five more than the product of the number and six.
Answer:
5x+x=6
Step-by-step explanation:
Help me solve? Thank you! (Answers included in screenshot
Answer:
C
Step-by-step explanation:
It needs to be an "or" inequality because it is one or the other, not both. The reason C is correct is because the number needs to be between 4 and 6 or 8 and 10, so greater than the former but still less than the latter.
Question 6
11.1 pts
Attempt due
2 Minutes
The value of y is directly proportional to the value of x. If y = 91 when x = 13, what is the value of y when x =
12?
Answer:
y= 84
Step-by-step explanation:
y = kx
where k is the constant
k = y/x = 91/13 = 7
the value of Y when x= 12
y = kx =7(12)
y =84
Simplify (4/5)^-2 . Show your work!
Answer:
[tex]\frac{25}{16}[/tex]
Step-by-step explanation:
Apply exponent rule: [tex]x^{-y}=\frac{1}{x^y}[/tex]
[tex](\frac{4}{5}) ^{-2}=\frac{1}{\left(\frac{4}{5}\right)^2}=\frac{1}{\frac{16}{25}}=\frac{25}{16}[/tex]
which group contains only attribute data?
Answer:
b. weight length distance
Answer:
temperature. color. texture
Ms. Garcia's seventh grade class is collecting aluminum cans to buy new board games. They receive $0.35 for each pound of cans they collect. What is the minimum number of pounds of aluminum cans they need to collect in order to purchase a board game that costs $27.20? HELP PLEASE
Answer:
The minimum number of pounds of cans they need to collect is 77. I hope this helps you.
Step-by-step explanation:
You would have to divide $27.20 divided by $0.35 and you would end with 77.7142857143 but basically 77.
the scale for a map to actual distance is 2 cm to a 100 miles the actual distance on the map be between Los Angeles and Las Vegas is 5.4 centimeters what is the actual distance in miles between Los Angeles and Las Vegas.Show your work.
Given :
The scale for a map to actual distance is 2 cm to a 100 miles.
To Find :
He actual distance on the map be between Los Angeles and Las Vegas is 5.4 centimetres what is the actual distance in miles between Los Angeles and Las Vegas.
Solution :
2 cm of map shows 100 miles of actual distance.
So, 1 cm of map shows 50 miles of actual distance.
Now, 5.4 cm of map will show :
[tex]D=5.4\times 50\ miles\\\\D=270\ miles[/tex]
Therefore, distance between Los Angeles and Las Vegas is 270 miles.
Hence, this is the required solution.
Is -8 + 14 positive or negative?
Positive
Step-by-step explanation:
When you add 14 to -8 you get 6. 6 is positive so the answer is positive
Answer:
Positive.
Step-by-step explanation:
- 8 + 14 = 6
Thus it is positive.
Translate the following word phrase into an algebraic expression.
three less than twice a number
Answer:
2x-3
Step-by-step explanation:
Three less than is x-3, and twice a number is 2x, so the end result is 2x-3.
Answer:
2(x)-3
Step-by-step explanation:
or 2x-3
Solve and is it a function
[tex]y = \frac{1}{2}x-6[/tex]
what is the measure of W in the figure
In angle A we have supplementary angles, that is
130 + X = 180
X = 180 - 130
X = 50
From the properties of the angles of a triangle - refer to attached,
W = X + 105
as X = 50 - already calculated above, then
W = 50 + 105
W = 155what is the sum of a rational numbers?
Answer:
Step-by-step explanation:
So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.
What are all real numbers greater than or equal to 0 called?
Answer:
Postitive numbers
Step-by-step explanation:
Is PQRST a scaled copy of ABCDE ? Explain reasoning
Answer: no
Step-by-step explanation:
x: -2(x + 3) = -2(x + 1) - 4. ( 1 point)
Answer:
This is true for all x
Step-by-step explanation:
-2(x + 3) = -2(x + 1) - 4
Distribute
-2x-6 = -2x-2 -4
Combine like terms
-2x-6 = -2x-6
Add 2x to each side
-2x+2x-6 = -2x+2x-6
-6 = -6
This is always true so there are infinite values
This is true for all x
Simplify the expression 8x+x
[tex]\text{Hey there!}[/tex]
[tex]\text{Simplify the expression 8x + x. }[/tex]
[tex]\text{First, you have to combine your like terms (8x \& x)}[/tex]
[tex]\text{x by itself is understood as a(n) \bf{invisible 1}}[/tex]
[tex]\text{Your new equation is: 8x + 1x}[/tex]
[tex]\text{8x + 1x = 9x because 8 + 1 equals 9 \& the x's are the like terms we had to}[/tex] [tex]\text{substitute into the equation}[/tex]
[tex]\text{Thus, your answer is: \boxed{\bf{9x}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the value of x in the image below.
Answer:
Complementary and x = 24°
Step-by-step explanation:
→ Recognise that angles on a straight line add up to 180°
x + 8° + 148° = 180°
→ Simplify equation
x + 156° = 180°
→ Minus 156° from both sides of the equation to isolate x
x = 24°
6x=5x+22 simplify the answer.
Answer:
x=22
Step-by-step explanation:
6x-5x=22
x=22
Answer:
Step-by-step explanation:
6x -5x =1
so,
1x(or just x) =22
I NEED HELP BEFORE 4:30PM EST !!!!!
Fill in the blanks, the numbers you can use are:
3, -3, 56, 1, 8, 7, 15, -7
The answers are:
The first blank is: 8
The second blank is: -3
The last blank is: -7
Hope this helps!
Simplify this expression. (Distributive Property) 4(6p+2q-2p)
Answer:
16p+8q
Step-by-step explanation:
4(6p+2q−2p)
=(4)(6p+2q+−2p)
=(4)(6p)+(4)(2q)+(4)(−2p)
=24p+8q−8p
If endpoints of a segment are (3,0) and (0,3), what is the length of the segment
Answer:
[tex]d=3\sqrt{2}[/tex]
Step-by-step explanation:
Distance formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(0-3)^2+(3-0)^2}[/tex] 0-3=-3 3-0=3
[tex]d=\sqrt{(-3)^2+(3)^2}\\d=\sqrt{(9+9)[/tex]
[tex]d=\sqrt{18}\\d=3 \sqrt{2}[/tex]
14 - ( 9t - 2 ) < - t + 30 Anyone know multistep equations
Answer:
t > -7/4
Step-by-step explanation:
Step 1: Write out inequality
14 - (9t - 2) < -t + 30
Step 2: Distribute
14 - 9t + 2 < -t + 30
Step 3: Combine like terms
-9t + 16 < -t + 30
Step 4: Add 9t to both sides
16 < 8t + 30
Step 5: Subtract 30 on both sides
-14 < 8t
Step 6: Divide both sides by 8
-7/4 < t
Step 7: Rewrite
t > -7/4
20
Simplify the expression:
(6y + 4y + 7) – (2y – 10)
Answer:
8y+17
Step-by-step explanation:
If McDonald sells 5 cows for $100 each and buys a horse for $250 how much would he have
Answer: 250
Step-by-step explanation:
5(1000)=500
500-250= 250
