Find an expression for the nth term (tn) in each of the following sequence:
2, 6, 10, 14, 18…
Answer:
The answer is 34
Step-by-step explanation: I just have a big brain
Answer: [tex]t_n = 4n - 2[/tex]
===========================================
Work Shown:
The first term is a = 2 and the common difference is d = 4, since we're adding 4 to each term to get the next term.
[tex]t_n = \text{nth term of arithmetic sequence}\\\\t_n = a+d(n-1)\\\\t_n = 2 + 4(n-1)\\\\t_n = 2 + 4n - 4\\\\t_n = 4n - 2[/tex]
Which is the answer.
--------------------------------
If you were to plug in say n = 3, then we get
[tex]t_n = 4n - 2\\\\t_3 = 4(3) - 2\\\\t_3 = 12 - 2\\\\t_3 = 10[/tex]
showing that 10 is the third term, which matches with what the original sequence shows. I'll let you check the other values of n to fully confirm the answer.
30 points!!!!!!!!!!!!!!!!!!!!!!! Help ASAP!!! 1.) Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a.
Step 1: Use slope formula* to determine slope (or m) using both points given.
[tex]\frac{9 - 1}{2 - (-2)}\\\\\frac{8}{4} = 2[/tex]
Step 2: Use slope-intercept formula** , ONE of the points given, and the slope we just found to solve for b.
[tex]1 = 2(-2) + b\\\\1 = -4 + b\\\\5 = b[/tex]
Step 3: Now we can set up an equation of this line in slope-intercept form.
[tex]y = 2x + 5[/tex]
*Slope formula: y₂ - y₁/x₂ - x₁
**Slope-intercept formula: y = mx + b
Answer:
The slope calculator helps find the slope of any line through two given points. ... To find the equation of a line for any given two points that this line passes through, use our ... to calculate the slope of the line passing through the points (3,8) and (-2, 10) . ... Make sure that the points you measure from are the same as step 1.
Step-by-step explanation:
One sixpack of soda has six cans. How many cans are there in six sixpacks of soda?
On the double number line below, fill in the given values, then use multiplication or
division to find the missing value:
cans
sixpacks of soda
There are
cans in 6 sixpacks of soda. Submit Answer
Answer:
36 cans
Step-by-step explanation:
6*6=36
Answer:
36
Step-by-step explanation:
6+6+6+6+6+6=36
The computer was regularly priced at $1500. If you order the computer over the Internet, you can save money as the price is only $1200.What percent discount (change) are you getting?
Its 8:20, you add 175 minutes to the time. What time is it?
Answer:
12
Step-by-step explanation:
Answer:
12:00
Step-by-step explanation:
please fill in the blanks i need this
Answer:
110
242
Step-by-step explanation:
To get the amount for Number of ships 5. you do 5*22.
Same for the the #11. you do 11*22.
Also, Pick me as the smartest please.help me pleaseeeeeee
Step-by-step explanation:
Similar triangles
[tex] \frac{6}{uv } = \frac{8}{3} [/tex]
uv=18/8
uv= 2.25
Which of these transformations occurs when the blades of a fan turn?
a. dilation
b. reflection
c. rotation
d. translation
Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football 25 7 Soccer 9 19 Baseball 18 22 If Kyle were to randomly select a girl to explain why she likes the sport chosen, what is the probability that he will pick a girl who likes football? A 12.5% B 27.1% C 40.3% D 44.6%
Answer:
The probability that Kyle will pick a girl who likes football is 12.5%.
Step-by-step explanation:
The data provided is as follows:
Boys Girls Total
Basketball 10 8 18
Football 25 7 32
Soccer 9 19 28
Baseball 18 22 40
Total 62 56 118
Compute the probability that Kyle will pick a girl who likes football as follows:
[tex]P(F|G)=\frac{n(G\cap F)}{n(G)}[/tex]
[tex]=\frac{7}{56}\\\\=0.125\\\\=12.5\%[/tex]
Thus, the probability that Kyle will pick a girl who likes football is 12.5%.
Which graph describes the relation {(3, –1), (1, –2), (–3, –2), (5, –5)}?
Urgent please help, I will truly be grateful
Answer:
I can barley see it but i think i know what to do.
Step-by-step explanation:
First i have to write down on a piece of paper:D
Log. 216 = Y
Solve for Y
Factor:
25y + 27x
Plz help
Answer:
25y+27x
Step-by-step explanation:
You cannot factor this any further
In the souvenir shop, Gary finds a shirt and a key chain he would like to buy. The shirt costs $13.75 and the key chain costs $2.33. What will be the total of Gary's souvenirs?
Answer:
$16.08
Step-by-step explanation:
13.75+2.33=16.08
What is the definition of photosynthesis?
the process of converting the energy in oxygen molecules into ATP
the process of changing light into stored chemical energy in the form of sugars
the process of converting the energy in carbohydrate molecules into ATP
the process of changing light into stored chemical energy in the form of lipids
Answer:
he process of changing light into stored chemical energy in the form of sugars
Step-by-step explanation:
The process in which light energy is converted to chemical energy in the form of sugars is correct.
Option (B) is correct.
What is the definition of photosynthesis?
What is photosynthesis ?Photosynthesis is the process by which green plants, algae and some forms of bacteria use energy from sunlight to convert carbon dioxide and water into glucose.
Given that:
Photosynthesis is the process in which light energy is converted to chemical energy in the form of sugars. In a process driven by light energy, glucose molecules (or other sugars) are constructed from water and carbon dioxide, and oxygen is released as a byproduct.
Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar. 5 - 8
So, the process in which light energy is converted to chemical energy in the form of sugars is correct.
Learn more about photosynthesis here:
https://brainly.com/question/19390838
#SPJ2
Give another name for CD PLEASE HELP!!!
Answer:
CED
Step-by-step explanation:
I hope this helps you
please help asap!! thank you :)
Answer:
About 3800
Step-by-step explanation:
QUICK WHAT IS 3 2/5X 2 1/3
Answer: 119/15 = 7 14/15
Which of the following could NOT be the measures of the angles of a triangle?
A. 600-60°-60°
O B. 70°-50-70°
OC. 40°-400-100°
D. 30°-120°-30°
the angles of a triangle always equals 180 degrees, so all of them cant be the measure of the angles of a triangle except for D
PLEASE HELP ME I NEED THE ANSWER!!!!!!!!!!!!!
The floor of an elevator in a building is 30 feet above ground level. It travels down to the lower level of the building, where the floor is 10 feet below ground level. What distance has the elevator’s floor traveled?
Answer:
40 feet
Step-by-step explanation:
You have to add the 30 feet above to the 10 feet below to get 40
Compare the two statements below and decide if the phrase: "In a plane," needs to be included in order to make a true statement.
1. In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
versus
2. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
answer choices:
A) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Corresponding Angles Theorem.
B) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Angle Bisector Theorem.
C) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Corresponding Angles Theorem.
D) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Angle Bisector Theorem.
by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas
Step-by-step explanation:
A person can pay $9 for a membership to the history museum and then go to the museum for just $1 per visit. For a member of the history museum, what is the total cost of 23 visits?
Answer:
$32Step-by-step explanation:
Step one:
Given that membership is $9 and the cost per visit is $1
let the number of visits be x
and the total cost be y
the total cost for the situation is modeled as
y=mx+c-----equation of a line
Step two:
given that x=23, we can solve for the totals cost as
by substituting we have
y=1*23+9
y=23+9
y=32
The total cost for 23 visits is $32
Find the slope of the line containing the points (-2,5) and
(-2,0).
Answer:
undefined
Step-by-step explanation:
A = p + prt solve for t
Answer:
t = [tex]\frac{A - p}{pr}[/tex]
Step-by-step explanation:
A = p + prt
A - p = p - p + prt
A - p = 0 + prt
A - p = prt
[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]
[tex]\frac{A - P}{pr}[/tex] = t
What single transformation maps ∆ABC onto ∆A'B'C'?
Answer:
A rotation 90 degrees clockwise
Step-by-step explanation:
Games Galore Super Store buys the latest video game at a wholesale price of $58.00. The markup rate at Game’s Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay, not including tax?
Answer:
Step-by-step explanation:
30 + .40(30) = 30(1 + .40) = 30(1.4) = $42
Any help is appreciated!!
Answer:
Step-by-step explanation:
600,000,000
Answer:
[tex]1.872 \times {10}^{13} [/tex]
Step-by-step explanation:
Simply multiple the values listed
[tex]3.12 \times {10}^{5} \\ \times 6 \times {10}^{7} [/tex]
You can just multiply the values and keep it in scientific notation. No reason to multiply all if it to find the answer.
[tex]18.72 \times {10}^{12} [/tex]
Now we have to put it into scientific notation, simply move the decimal to the left by 1 and add to the exponenet by 1.
[tex]1.872 \times {10}^{13} [/tex]
-1/4 [p+16]=2 help me pls
Answer:
6p
Step-by-step explanation:
what is 100 times 7 plus 23
100 times 7= 700 any number times 100 you would add two zeros, 700+23=723
Hope this helps :]
The ratio of football players to volleyball players is 7 : 3. If there are 210 football players,
how many volleyball players are there?
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
210 divided by 7 = 30
30 x 3 = 90