Answer:
a_n = 3^(n -1)
Step-by-step explanation:
The n-th term of a geometric sequence with first term a1 and common ratio r is given by ...
a_n = a1·r^(n-1)
Your sequence has first term 1 and ratio r=3, so the sequence is given by ...
a_n = 3^(n -1)
_____
Comment on sequences and series
The sequences we commonly study are "arithmetic" and "geometric." Each of these has an explicit formula for the n-th term, based on the first term and the common difference or ratio. Similarly, each series (sum of terms of a sequence) also has a formula. That's 4 formulas to keep track of; not difficult. One of them, the formula for the n-th term of a geometric sequence, is shown above.
PLEASE ANSWER ASAP. What is the diagonal length of a photo frame with dimensions that are 24 cm x 7 cm?
A. 19 cm
B. 25 cm
C. 28 cm
D. 32 cm
Answer:
B
Step-by-step explanation:
The diagonal will become the hypotenuse of a right triangle, with the legs being 24 and 7.
Since it is a right triangle, we can use Pythagorean theorem
a^2+b^2=c^2
We know the legs: a and b, are 24 and 7, so we can substitute them in
24^2+7^2=c^2
Solve the exponents
576+49=c^2
Add
625=c^2
Take the square root of both sides
[tex]\sqrt{625}[/tex]=[tex]\sqrt{c^{2} }[/tex]
c=25
So, the diagonal will be 25 cm, or choice B
Answer:
25cm or b
Step-by-step explanation:
What is the meaning of an adjacent interior angle?
The annual health insurance premium for Ms.Everett is $12,304. Her employer pays 70% of the premium and deducts the remainder from her paycheck. Ms.Everett is paid monthly. what amount is deducted for Ms.Everett‘s paycheck for her health insurance premium?
Answer:
The amount deducted for Ms.Everett‘s paycheck for her health insurance premium is $307.6
Step-by-step explanation:
given information:
annual insurance = $12304
employer pay annually = 70%
first we calculate the annual insurance paid by the employer
employer paid annual insurance = 70% x $12304
= $8612.8
then, we calculate the insurance paid by Ms. Everett annually
Ms. Everett paid annual insurance = $12304 - $8612.8
= $3691.2
thus, amount is deducted for Ms.Everett‘s paycheck for her health insurance premium
Ms. Everett's paycheck deduct = $3691.2/12
= $307.6
Answer:
307.60
Step-by-step explanation:
Got it right on the test.
The graphed line shown below is y = negative 2 x minus 8.
On a coordinate plane, a line goes through (negative 4, 0) and (negative 2, negative 4).
Which equation, when graphed with the given equation, will form a system that has infinitely many solutions? y = negative 2 x minus 8.
y = negative (2 x + 8)
y = negative 2 (x minus 8)
y = negative 2 (x minus 4)
y = negative (negative 2 x + 8)
Answer:
A
Step-by-step explanation:
Our given equation is: y = -2x - 8
In order to have an equation with infinitely many solutions, it needs to be the same as the given equation.
Look at the answer choices:
A) y = -(2x + 8) = -2x - 8
This is the exact same equation, which means that any solutions for the given will also be solutions for this one. That means there will be infinitely many solutions.
B) y = -2(x - 8) = -2x + 16
We can tell this is definitely not the same as the given, so eliminate.
C) y = -2(x - 4) = -2x + 8
Again, this has a +8 instead of -8, so it's not the same and wrong.
D) y = -(-2x + 8) = 2x - 8
Here, we have positive 2 as the slope instead of -2, so it's not the same and wrong.
Thus, the answer is A.
Hope this helps!
The question is wich of the 4 formulas is equivalent to
y = -2x-8
only the first option is equivalent / basically the same and would therefore give out infinite intersections/solutions
Aubree is trying to understand why a student would pick computer technology as a college major. 64% of the sample she surveyed said that they picked computer technology because of the vast employment opportunities. Her survey comes from 1200 students in 30 different colleges across the nation. Can we infer a parameter from this information? What would it be?
A) No; 64% is not enough to create an inference.
B) Yes; the parameter is 30 of the colleges, so we can infer the same.
C) No; there are no statistics in this scenario.
D) Yes; the statistic is 1200, so we can infer that 1200 students are computer technology majors.
E) Yes; the statistic is 64% of computer technology majors choose the major because of the employment opportunities. We can infer that the parameter is the same.
Answer:
E. Yes; the statistic is 64% of computer technology majors choose the major because of the employment opportunities. We can infer that the parameter is the same.
if i can have brainliest that would be great
A bookshelf is 72 inches wide. If I plan to place books on the shelf that average ¾ inches in width, about how many books will fit on the shelf?
Number of books that can fit on the shelf = Width of bookshelf/ width of average book = 72 x [tex]\frac{4}{3}[/tex] = 96 books
I hope this answer helps! If you have any questions, feel free to ask.
i need help with this question on my hw
Answer:
A) 630 feet squared
Step-by-step explanation:
Which expression is equivalent to the following expression? 3(2x + 3)
5x + 6
6x + 6
6x + 9
5x + 9
Answer:
6x + 9
Step-by-step explanation:
distribute the 3 so then you get 3(2x) which equals 6x and 3(3) which equal 9 so
6x+9
6× + 9
Multiply each term in the parentheses by 3.
A 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid 200 times. Find the experimental probability of rolling a number greater than 10.
The experimental probability of rolling a number greater than 10 is [tex]17 \div 100[/tex]
The calculation is as follows;The total no of times rolling = 200
The probability of rolling 11 = 16 times
And, The probability of rolling 12 = 18 times
So, the probability is
[tex]= (16 + 18) \div 200\\\\= 17 \div 100[/tex]
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What is the quotient of 9.18 divided by –3.4?
–2.7
–0.27
0.27
2.7
Answer:
-2.7
Brainliest would would be appreciated
Answer:
-2.7
Step-by-step explanation:
got 100% on it
Find the area of this figure. Use 3.14 for pi. Wrote your answer as a decimal.
Answer:
854.865 square meters
Step-by-step explanation:
A=πr^2
Radius is half the diameter
33/2= 16.5
A=π * r^2 r^2 is r*r
A = 3.14 * 16.5 *16.5 = 854.865
Find the volume of a cylinder with a diameter of 10 inches and a height that is
three times the radius. Use 3.14 for pi and round your answer to the nearest
tenth. (Hint: You may only enter numerals, decimal points, and negative signs in
the answer blank)
Answer:
1178.1
Step-by-step explanation:
pi*radius^2*height
Answer with step. Thanks
In a triangle ABC, if angle B= 60° and the ratio of two sides is a: C= 2: sqrt3 + 1, then angle A=
45°
40°
35
55°
Outside each house, there is a mailbox. There are 3 letters in each
of the six mailboxes. How many letters are there in total?
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
3 letters per mailbox. 6 mailboxes. 3 * 6 = 18. Total: 18 letters
Solve for x - 1/3 = 2
Answer:
x=2 1/3
Step-by-step explanation:
Answer:
x = 2 1/3
Step-by-step explanation:
x - 1/3 =2
Add 1/3 to each side
x - 1/3+1/3 = 2+1/3
x = 2 + 1/3
x = 2 1/3
How is a credit union different from a retail bank?
A. Acredit union is a nondepository institution; a retail bank takes
customer's deposits.
B. A credit union and a retail bank are the same thing; there is no
difference between them.
C. A retail bank is "membership only", a credit union deals with the
general public
D. A credit union is a nonprofit entity; a commercial bank is a for-
profit entity
Answer:
The answer is (D.) A credit union is a nonprofit entity; a commercial bank is a for-profit entity.
Step-by-step explanation:
While Credit unions are not-for-profit organizations that exist to serve their members Retail banks are for-profit organizations that exist to serve the general public. Just like retail banks, credit unions accept deposits, make loans and provide a wide array of other financial services, but mainly from registered members.. But as member-owned and cooperative institutions, credit unions provide a safe haven to members only to save and borrow at reasonable rates.
Answer:
A. A credit union is a non-depository institution; a retail bank takes customer deposits.
Try it
Solve for x in this equation: a - b
= cx+d
Step 1: Subtract
from both sides of the equation.
Answer: cx
Step-by-step explanation:
A security camera is set to record the activities in a 115 degrees sector of a parking lot as represented by the shaded region of the circle below. Which measurements is closet to the area of The parking lot recorders by this security camera?
Answer:35 degrees i think
Step-by-step explanation:
The area covered by security camera is 5642.18 square feet.
What is Area of sector?The region inside the portion of the circle formed by two radii and an arc is known as the area of a sector. It only covers a small portion of the entire circle's surface.
Area of sector = [tex]\theta[/tex] / 360 πR²
Given:
R= 150 /2 = 75 feet
Now, Area of sector = [tex]\theta[/tex] / 360 πR²
= 115 / 360 x 3.14 x 75 x 75
= 135412.5/24
= 5642.18 square feet
Hence, the area covered by security camera is 5642.18 square feet.
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It's on the picture, could someone help me out?
Answer: separate because it would include more and you would save more
Step-by-step explanation:
first it is on sale second it would save you more money.
Answer:
the two packed because :
Step-by-step explanation:
first you need to find out the total of the two separated and for one it is £12.49 but for the second it is 50% off so 50% is a half so half of £12.49 is £6.25 so you now need to add them both together to find out how much two bottles cost separate which is £18.74. now you need to have a look see which costs less this is the two together in the pack so the answer is you would rather buy the two packed one because they are cheaper
Which better describes the data set, the mean or the median? Select the answer with the best explanation. A The median, because it is in the middle of the set. B The mean, because it is closer to most of the data values than the median is. C The mean, because it is the average of all the values of the set. D The median, because it is closer to most of the data values than the mean is.
Answer:
C
Step-by-step explanation:
The mean of the data describes the data set , because it is the average of all the values of the set
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the data set be represented as A
Now , the value of A is noted
And , the median of the data set is the middle term of the set
where the mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values
So , the average values of the set determines the data values as it is a compilation of all the data values
Hence , the mean of the data describes the set
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The nth term of a sequence is 8 - n. a)work out the first three terms of the sequence b) work out the value of the first negative term of the sequence
Answer:
see explanation
Step-by-step explanation:
To calculate the first 3 terms substitute n = 1, 2, 3 into the n th term formula
(a)
8 - 1 = 7
8 - 2 = 6
8 - 3 = 5
The first 3 terms are 7, 6, 5
(b)
The first negative term wii occur when n > 8, that is n = 9, thus
8 - 9 = - 1 ← first negative term
The first three terms of the sequence defined by 8 - n are 7, 6, and 5. The first negative term is when n equals 9.
Explanation:The nth term of a sequence is defined by 8 - n. This means that you subtract the term number (n) from 8 to get the value of the term.
To work out the first three terms of the sequence, substitute n = 1, 2, and 3 into the nth term. So, the first term is 8 - 1 = 7, the second term is 8 - 2 = 6, and the third term is 8 - 3 = 5.To find the first negative term of the sequence, you need to determine the value of n when 8 - n becomes less than 0. If you set 8 - n to be less than 0 and solve for n, you will find that n > 8. Therefore, the first negative term occurs when n = 9 (since n must be an integer, the number immediately greater than 8 is 9).Learn more about Sequence Terms here:https://brainly.com/question/35448108
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Giving a lot of points help!
What is the value of x?
Answer:
Step-by-step explanation:
a triangle = 180
Q = 180 - (90 + 45)
Q = 180 - 135
Q = 45
Step-by-step explanation:
With reference angle 60°
perpendicular (p) = 2√3
hypotenuse (h) = ?
We know
sin 60° = p/h
√3/2 = 2√3 / h
cross multiply
h =( 2√3 * 2)/ √3
therefore h = 4
So
Now
with reference angle 45°
perpendicular (p) = x
base (b) = 4
Now
tan 45° = p/b
1 = x / 4
Therefore x = 4
Hope it will help you :)
Which reasons did you include in your response? Check all that apply.
The reasons I include in my response are;
Meeting strong customer demandKeeping prices lowAvoiding unnecessary featuresWhat is the justification?
Fulfilling strong consumer demand in terms of Super-Phonic feels that there is a strong demand for its particular products and services among its target market.
The company believes it is superior to its rivals at offering this kind of phone and service at a fair price, therefore keeping pricing low helps.Super-Phonic feels that incorporating smartphone functions into its phones will increase their cost and decrease their dependability, so they avoid adding needless features.
Sample response: Super-Phonic believes that demand among its target customers is strong for its specific products and services. The company thinks it is better than its competitors at providing this type of phone and service at a reasonable rate. Finally, Super-Phonic believes that adding smartphone features to its phones would make them more expensive and less reliable.
Based on what you have read, provide three reasons why Super-Phonic decided to make a specific type of phone in a specific way.
Which reasons did you include in your response? Check all that apply.
providing reliable service
keeping prices low
making durable phones
avoiding unnecessary features
meeting strong customer demand
What is the factored form of the polynomial?
x2 – 16x + 48
Answer:
(x-12)(x-4)
Step-by-step explanation:
x^2 – 16x + 48---> your goal: a^2 - 2ab+ b^2 ,(a-b)^2
[x^2 - 2(8)x+48+16]-16
[x^2-2(8)x+64]-16
[(x-8)^2]-4^2 ---> a^2 - b^2 : (a-b)(a+b)
(x-8-4)(x-8+2)
(x-12)(x-4) ----> always check back work after have done
Check x^2-4x-12x+48
x^2-16x+48 equal the given
Answer:
(x-12)(x-4)
Step-by-step explanation:
Solve for xxx. Write the smaller solution first, and the larger solution second. x^2 + 9x + 18 = 0x 2 +9x+18=0x, squared, plus, 9, x, plus, 18, equals, 0 \text{smaller }x =smaller x=start text, s, m, a, l, l, e, r, space, end text, x, equals \text{larger } x =larger x=start text, l, a, r, g, e, r, space, end text, x, equals
To solve the quadratic equation x^2 + 9x + 18 = 0, you'll have to find values of x that satisfy this equation.
To find the roots of the quadratic equation, we use the formula x = [-b±sqrt(b^2 -4ac)]/2a, where a, b, c are the coefficients of the quadratic equation of the form: ax^2 + bx + c = 0.
In our equation, we have:
a = 1 (coefficient of x^2)
b = 9 (coefficient of x)
c = 18 (constant term)
Substituting these values in our formula, we get:
x = [-9±sqrt((9)^2 - 4*1*18)] / 2*1,
x = [-9±sqrt(81 - 72)] / 2,
x = [-9±sqrt(9)] / 2,
x = [-9±3] / 2.
From here, we get two solutions:
For the smaller solution, we have: x = [-9 - 3] / 2 = -6.
For the larger solution, we have: x = [-9 + 3] / 2 = -3.
So, the solutions to the equation x^2 + 9x + 18 = 0 are x = -6 (for the smaller solution), and x = -3 (for the larger solution).
Find x help me pls I will mark brainiest to first person to answer
Answer:
39.25 units squared
Step-by-step explanation:
Look at the attached picture⤴
Hope it will help u....:)
−7x+y =−19 −2x+3y =−19
The tour of the art museum started at 9:35 Ask Your Teacher It lasted for 1 hour 20 minutes. What time did the tour end?
9:55
10:35
10:45
10:55
Answer:10:55
Step-by-step explanation:
9:35+1 hour is 10:35, add 20 minutes and you get 10:55
Which of the following rectangular prisms will have a surface area of 24 square units? A rectangular prism with a length of 5, width of 3, and height of 1. A rectangular prism with a length of 2, width of 2, and height of 2. A rectangular prism with a length of 2, width of 1, and height of 2.
Answer:
ok the first one with the length , width , height of 5 , 3 , 1 has a surface area of 46
the second one with the length , width , height , of 2 , 2 , 2 has the surface area of 24
ok now i don't have to go any farther i found which one it is
the answer is the rectangular prism with the length of 2 the width of 2 and the height of 2
Step-by-step explanation:
Answer:
The orange one the L W H are all 2
Step-by-step explanation: