Answers
Answer:
a. geometric
b. an = 2(2)^n-1 or an = 2^n
c. an+1 = an x 2
Step-by-step explanation:
The sequence, 2, 4, 8, 16, 32,...
a. The sequence is geometric because there is a common ratio in the numbers of the sequence. Each number is made by multiplying the common ratio and the previous number.
b. The explicit formula that can be used to find any term is an = 2(2)^n-1 or an = 2^n
Note: the variable n and number 1 is written in italics to show that it should be in subscript
an = a1 (r)n-1
With the common ratio of n being 2 and first number being 2, we have:
an = 2(2)^n-1
or
an = 2^n
c. The recursive formula for the sequence is an+1 = an x 2
an+1 = an x r
Plugging in the values, we have
an+1 = an x 2
Your welcome, and comment if you have any questions! If you could mark this answer as brainliest, I would appreciate it very much!
Related Questions
PLEASE HELP WITH GRAPH LAST QUESTION I NEED
Answers
Answer:
[tex]\sf g(x) = -1(x+3)^2 -2[/tex]
Explanation:
[tex]\sf original \ graph: \ y=-x^{2}[/tex]
the graph is translated 3 units to the left and 2 units down.
vertex: (-3,-2) point: (-1,-6)
[tex]\sf so \ new \ graph :[/tex]
[tex]\sf y = a(x-h)^2 +k[/tex]
[tex]\sf -6 = a(-1-(-3))^2 -2[/tex]
[tex]\sf -6 = 4a -2[/tex]
[tex]\sf 4a = -4[/tex]
[tex]\sf a = -1[/tex]
[tex]\sf equation:[/tex]
[tex]\sf y = a(x-h)^2 +k[/tex]
[tex]\sf y = -1(x+3)^2 -2[/tex]
✩ original graph: y = -x²
the graph is translated 3 units to the left and 2 units down.
✩ vertex: (-3,-2) point: (-1,-6)
[tex]\large{{\bold{ \underline{ \underline{ \overline{ \overline{ \pink {so \: new \: graph :}}}}}}}}[/tex]
↠y = a (x - h)² + k
↠-6= a(-1-(-3))² - 2
↠-6 = 4a - 2
↠4a = -4
↠a = 1
[tex]\large{{\bold{ \underline{ \underline{ \overline{ \overline{ \pink {equation :}}}}}}}}[/tex]
↠y = a (x - h)² + k
↠y = -1(x+3)² - 2
eli's family had $60 for a party. They spent $28 on food. They were given an additional $10. This expression shows how much money, in dollars, Eli's family has available for the party. 60 + (-28) + 10 nuch money does Eli's family have available for the party?
Answers
Answer:
$42
Step-by-step explanation:
60-28=32+10=42 Hence,$42 has Been available for Eli's party.
Rachel's cell phone company charges $0.10 per minute. She used 350 minutes last month and paid $84. writ and solve a linear equation to find her bill next month if she uses 300 minutes
Answers
Answer:
79
Step-by-step explanation:
cuz,
x equals the number of minutes so use the y slope formula
0.10(x)+the intercept = y
0.10(350)+the intercept = 84
35+the intercept = 84
the intercept = 49
so the equation is
0.10(x)+49 = y
or
1/10(x)+49 = y
1/10(300)+49=y
30+49=y
79=y
so the answer is 79 dollars
How do I solve this?
Answers
Answer:
Given:A ∆ with an exterior angle :116° & two interior angles 7x+6 & 4x
To find :The value of angle 7x+6
Solution:we know that ,
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non adjacent interior angles of the triangle.
so,
[tex]7x + 6 + 4x= 116 \\ 11x + 6 = 116 \\ 11x = 116 - 6 \\ 11x = 110 \\ x = 110 \div 11 \\ x = 10[/tex]
so ,the measure of green angle would be
[tex]7x + 6 \\ placing \: the \: value \: of \: x \: as \: 10 \\ 7 \times 10 + 6 \\ = 70 + 6 \\ = 76[/tex]
Verification:To verify our answer ,the sum of the resultant value of green angle and 4x should be 116°(the exterior opposite angle)
so,
[tex]7x + 6 + 4x = 116 \\ 7 \times 10 + 6 + 4 \times 10 = 116 \\ 70 + 6 + 40 = 116 \\ 76 + 40= 116 \\ 116 = 116 \\ \\ hence,\: verified[/tex]
Solution:
Note that:
Green angle = 7x + 64x + 7x + 6 + (180 - 116) = 180Simplify the equation to find x.
4x + 7x + 6 + (180 - 116) = 180=> 11x + 6 + (64) = 180=> 11x + 70 = 180=> 11x = 180 - 70=> 11x = 110=> x = 110/11 = 10Substitute the value of x into the measure of the green angle.
7x + 6=> 7(10) + 6=> 76°The measure of the green angle is 76°.
Membership in a digital library has a $5 startup fee and then cost $9. 95 per month memberships in a video streaming service cost $7. 99 per month with no start-up fee use vocabulary words to explain how this information could be used to write an expression for the total cost of both memberships After M months
Answers
Answer:
Step-by-step explanation:
Add the cost of the start fee with membership for 'M' months ans the video streaming service for 'M' months
Total cost = startup fee + cost of membership fee for 'M' months + cost of video streaming fees for 'M' months
C = 5 + 9.95M + 7.99M
C = 5 + 17.94M
Drag each tile to the correct box. Not all tiles will be used.
A baker is experimenting with a new brand of yeast. He bakes his first batch of bread using the old brand of yeast that he usually uses and a
second batch using the new brand of yeast.
Aſter baking both batches of bread, he compares the height, texture, and taste of each batch.
Match the terms with the correct descriptions in the context of this scenario.
height, texture, and taste
second batch
first batch
the baker
new brand of yeast
old brand of yeast
control group
>
response variable
explanatory variable
Answers
Answer:
Step-by-step explanation:
control group/ first batch
Response variable/ height,texture,and taste
Explanatory variable/ new brand of yeast
The terms with the correct descriptions are;
1. control group/ first batch
2. Response variable/ height,texture,and taste
3. Explanatory variable/ new brand of yeast
What is an experiment?An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments refers to what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
We are given that baker is experimenting with a new brand of yeast. He can bakes his first batch of bread using the old brand of yeast that he usually uses and a second batch using the new brand of yeast.
Since baking both batches of bread, he compares the height, texture, and taste of each batch.
The terms with the correct descriptions in the context of this scenario are;
1. control group/ first batch
2. Response variable/ height,texture,and taste
3. Explanatory variable/ new brand of yeast
To learn more about experiments refer to:
brainly.com/question/25303029
#SPJ7
Anyone can help? Will give brainlist. I need this done before tomorrow :(
Answers
Answer:
A - 17.576
Step-by-step explanation:
All we have to do is replace s with 2.6!
V = s^3
v = 2.6^2
v = (2.6)(2.6)(2.6)
v = 6.76 * 2.6
v = 17.576
So, the volume of the cube is 17.576 feet! :)
Cubic bins with closed tops are used to transport melons to the farmers market. The edge length of each bin is 1. 5 m. What is the surface area of the outside of one of the bins? Drag and drop the correct answer into the box. Response area m².
Answers
Cube has all six faces as square. The surface area of the outside of one of the bins is 13.5 m².
What is the surface area of the cube?The surface area of the cube is the sum of the area of all the sides of the cube. All the six sides of the cube are made of the same size square, therefore, the surface area of the cube is 6s², where s is the length of its single side.
As it is given that the melons are kept in cubic bins whose top is closed, therefore, the cubic bin will have all six sides, with the length of the side as 1.5m.
We know the formula for the surface area of the cube, therefore, the surface area of the cubic bin is equal to the surface area of the cube with side 1.5m,
[tex]\text{Surface area of the cube} = 6s^2[/tex]
[tex]= 6(1.5)^2\\\\= 6 \times 2.25\\\\=13.5\rm\ m^2[/tex]
Hence, the surface area of the outside of one of the bins is 13.5 m².
Learn more about Cube:
https://brainly.com/question/945825
What are the variables in the
expression below?
Заb - 5а + 4b – 8
A. 3,-5, and 4
B. only b
C. a and b
D. only a
Answers
Because the letters a and b are variables
What is the slope of the line through (0,4) and (-7,-8)
Answers
what is 6.729 x 8.3 (show ur work thanks)
Answers
Answer:
55.8507
Step-by-step explanat
55.8507 is the answer
hope i helped ;D
Help me, please. Kindly explain it to me too. Thanks.
Answers
Answer:
b - correspondinga - alternate interiord - verticalc - alternate exteriore - supplementaryb - correspondingStep-by-step explanation:
This is basically a vocabulary question. Angle pairs around a transversal crossing a pair of parallel lines all have names. Those names are used to refer to different theorems about the relationships of the angles to each other. Once you understand the words being used, the vocabulary is easier to remember.
Linear Pairs and Vertical AnglesAngles formed where one line crosses another form a linear pair if they share a side and the non-shared sides are opposite rays. If they share a vertex, but not a side, they are vertical angles. The angles of a linear pair are supplementary: they total 180°. Vertical angles are supplementary to the same angle, so vertical angles are congruent. These relations hold anywhere lines cross.
__
Angle Names at a TransversalWhere a single line crosses two (parallel) lines, that line is called a "transversal". Four angles will be formed at each intersection. Some of those angles are between the (parallel) lines, so are referred to as interior angles. The ones that are not between the (parallel) lines are referred to as exterior angles. The angles are alternate if they are on opposite sides of the transversal, and they are consecutive, or same-side if they are on the same side of the transversal.
Angles that lie in the same direction from the crossing point (to the northeast, for example) are corresponding angles.
__
In your figure, we can identify the following pairs:
corresponding: (a, f), (b, g), (c, h), (e, i)alternate exterior: (a, i), (c, g)alternate interior: (b, h), (e, f)consecutive exterior: (a, g), (c, i)consecutive interior: (b, f), (e, h)vertical: (a, e), (b, c), (f, i), (g, h)linear pairs: (a, b), (a, c), (b, e), (c, e), (f, g), (f, h), (g, i), (h, i)The theorems referenced above will tell you if and only if the lines are parallel ...
corresponding, alternate interior, alternate exterior angles are congruentconsecutive interior, consecutive exterior angles are supplementary (total 180°)____
Using the above, we find the answers to your questions to be ...
1. (a, f) - corresponding angles (b)
2. (b, h) - alternate interior angles (a)
3. (h, g) - vertical angles (d)
4. (c, g) - alternate exterior angles (c)
5. (a, c) - supplementary angles (e)
6. (e, i) - corresponding angles (b)
_____
Additional comment
In the above, we put (parallel) in parentheses, because these same definitions apply where the crossed lines may not be parallel. The relevant angle relationships can be used to determine if the lines are parallel or not. For example, if "corresponding" angles are congruent, the lines will be parallel. If "consecutive interior" angles do not total 180°, the lines cannot be parallel.
These same relationships hold in geometric figures, such as rectangles, trapezoids, parallelograms. For example, each side of a parallelogram is a transversal crossing a pair of parallel lines (the adjacent sides). Sometimes, you're asked to prove particular angle relationships in these figures. You can often do so by making use of the angle theorems related to parallel lines.
Managers at a company rate employee's on performance and attitude and find that an employee's attitude depends on their performance. They find a linear relationship and the line of best fit is y = 11. 7 1. 02x. If the performance rating increased by 2 points what would happen to the attitude rating?.
Answers
The performance rating increased by 2 points 2.04 would happen to the attitude rating.
What is the equation of the line?The slope and the intercept values are given, the equation of a line can be found easily. So, it is also known as the slope and intercept form.
The standard form to represent the equation of a line is as follows:
Given
Managers at a company rate employees on performance and attitude and find that an employee's attitude depends on their performance.
They find a linear relationship and the line of best fit is y = 11. 7 + 1.02x.
The performance rating increased by 2 points what would happen to the attitude rating is;
[tex]\rm = 1. 02 x\\\\=1.02 \times 2\\\\= 2.04[/tex]
Hence, the performance rating increased by 2 points 2.04 would happen to the attitude rating.
To know more about the equation of line click the link given below.
brainly.com/question/11597999
.........................
Answers
Answer:
D
Step-by-step explanation:
The same line, two
＜7＋＜8＝180
Because <8=105
So，＜7＝180-105＝75
Given : -
<7 = <9So, <7 = 75°✅
»Option (D.)
Solve for x round to the nearest 10th
Answers
Answer:
x = 18.5
Step-by-step explanation:
sin0 = opp/adj
tan51 = x/15
tan51 • 15 = x
18.5 = x
A chemist is using 381 milliliters of a solution of acid and water. If 12.2% of the solution is acid, how many milliliters of acid are there?
Answers
Answer:
46.482 ml
Step-by-step explanation:
381 x 12.2% =
381 x .122 = 46.482
I need help please thanks
Answers
Answer:
149.5
Step-by-step explanation:
if im wrong then dam.n
dont mind my dirty chromebook just answer the question
Answers
Answer:
the 3rd
Step-by-step explanation:
How would you label this angle?
A) ∠C
B) ∠B
C)∠A
D) none of these
Answers
Answer:
B: Acute
Please make me brainiest
Answer:
B) ∠B
Step-by-step explanation:
We'll name the given acute angle as either ∠ABC or ∠B. This is because, 'B' is the vertex of the given angle, i.e., AB & AC share the same common point → 'B'. Hence, ∠B is the correct option.
Hope it helps ⚜
PLS ANSWER AS QUICKLY AS POSSIBLE PLSSSSSSSS
Answers
Answer:120
DCA=25+35=60
X=DCA+60=60+60=120
Step-by-step explanation:
Find the volume of the following cylinder. (Use pi=3.14) V=\ cm.
Answers
V = π r² h
= 3.14 × 8 × 8 × 15
= 3014.4 cm³
NEED ANSWERS ASAP PLEASE
Answers
First we need to find the area of the circle. If the diameter is 4.3, the radius would be 2.15. 2.15 to the power of 2 is 4.6225. That times pi is 14.51465.
So now we need to find the area of the rectangle which obviously is 80. Now we subtract the area of the circle. 80 - 14.51465 = 65.48535.
Our answer is 65.48535
Evaluate the expression when c=4 and d=18
d-28/c
Answers
Answer:
11
Step-by-step explanation:
Plugin the value of c = 4 & d = 18 in the expression.
[tex]d-\dfrac{28}{c}=18-\dfrac{28}{4}\\\\\\=18 - 7\\\\= 11[/tex]
Albert was asked to list four decimals
between 0.25 and 0.50. What are four
decimals Albert may have written? Please help
Answers
Answer:
1. 0.35
2. 0.49
3. 0.36
Step-by-step explanation:
This works because just choose any number between 25 and 50 and add a 0. behind it.
Answer: 0.30 0.40 0.49 0.29
Step-by-step explanation:
all you need to do is list decimals that are above 0.25 and below 0.50
3/m = 45/50 HELP THIS IS HARD, WILL GIVE BRAINLIST IF CORRECT ANSWER AND ANSWERED RIGHT
Answers
Step-by-step explanation:
Simplify for m by using algebra.
Divide each side by 3:
[tex] \frac{3m}{3} = \frac{0.95}{3} [/tex]
[tex] m = \frac{19}{60} [/tex]
What is the value of g(-4)?
OA -1
OB. 27
OC. 1
OD. -5
Answers
Answer:
the answer is -5 because of the addition of the numbers
Answer:
Hope this settles it for ya! XD
Step-by-step explanation:
g'day all!
help!!! will give brainliest
Answers
Answer:
I am not 100% sure but I believe the answer is the first one.
-16z+10y=-4
Step-by-step explanation:
Sketch each line and write the equation
Can someone help me with this?
Answers
Answer:
y = 3/2 x 3 or y = 3 x 3/2
Step-by-step explanation:
Step-by-step explanation:
place a point on 3 on the y-axis. From that point raise up 3 and 2 to the right qn place a point. Connect the two lines together to get your answer
what is the worlds most hard math question
Answers
Answer:
9+(4x2)*8+3^4(5^7)
Step-by-step explanation:
Answer:
The Collatz Conjecture. Dave Linkletter. ...
Goldbach's Conjecture Creative Commons. ...
The Twin Prime Conjecture. ...
The Riemann Hypothesis. ...
The Birch and Swinnerton-Dyer Conjecture. ...
The Kissing Number Problem. ...
The Unknotting Problem. ...
The Large Cardinal Project.
Step-by-step explanation:
9. Simplify the expression:
6(-5n+7)
Show work
Answers
Consider the word phrase "2 apples". This is the same as "2 of apples". Mathematically you could write: 2×apples or even 2a.This is exactly the type of thing you have when you write:6(−5n+7)This is the same as: 6of (−5n+7)Lets write this out in full:(−5n+7)+(−5n+7)+(−5n+7)+(−5n+7)+(−5n+7) (−5n+7)Write this as: (−5n−5n−5n−5n−5n−5n)(7+7+7+7+7+7) As you can see, we have 6 of each Giving[−(6×5)×n]+[6×7]=−30n+42
