Guided Practice


A recursive formula for a geometric sequence is given. What is an explicit formula for this sequence?

a1=100an=12 · an−1a subscript 1 baseline equals 100 line break a subscript n baseline equals one-half times a subscript n minus 1 baseline


A.
an=12 · 100n−1a subscript n baseline equals one half times 100 superscript n minus 1 baseline


B.
an=100 · (12)n−1a subscript n baseline equals 100 times left parenthesis one half right parenthesis superscript n minus 1 baseline


C.
an=100+(12)n−1a subscript n baseline equals 100 plus left parenthesis one half right parenthesis superscript n minus 1 baseline

Answers

Answer 1

Answer: The Answer IS Either Letter B Or Letter C

B.

an=100 · (12)n−1a subscript n baseline equals 100 times left parenthesis one half right parenthesis superscript n minus 1 baseline

Step-by-step explanation: I Think The Answer IS Letter B

Simplify the matrix.

a = 100 ,

a n = 12 a n − a ,

1 ,

100 ,

n , − h a l f ,

n ,

1

...............................................................................................................................................


Related Questions

show that's ABE = EBC ​

Answers

Answer:

abe = ebc

Step-by-step explanation:

bcos both the seperate angels have the same degree

Since ABD + DBE = DBE + EBC, so ABE = EBC

help plz 20 points <33333​

Answers

Answer:

B) 120 degrees

Step-by-step explanation:

it is a regular hexagon. that means all sides and all angles are the same.

Answer: B) 120

Step-by-step explanation: Since it’s a regular hexagon it will have the same side lengths and angles. So if one angle is 120, the rest will be as well.

Dorothy put $470 into a savings account for one year. The rate of interest on the account was 5.5%. Find the interest earned on the amount.

Answers

Answer: $25.85 assuming annual compounding.

Step-by-step explanation:

PV=470

I/Y=5.5

N=1

CPT_FV

Is the answer option c?

Answers

Answer:

yes

Step-by-step explanation:

f(x) = x^2 -1

Hope it helps!!

What is the simplest radical form of the expression? (8x^5y^3)^(2/3)

Answers

Step-by-step explanation:

(8x⁵y³)^(2/3)

= 8^(2/3)×(x^(5×2/3))×(y^(3×2/3))

= 4×x^(10/3)×y^(2)

= 4y²(³√x¹⁰)


The graph below shows the amount of money a store earns for selling T-shirts.
у
T-shirt Sales
100
80
60
Money Earned
(dollars)
40
20
0
4
24
8 12 16 20
Number of T-shirts Sold
What is the unit rate of the graph?

Answers

Answer:

Whattt pls draw the graph.. And it will show the us the rate

using trig find the missing angle

Answers

Answer:

sh ma at me Ej as he be as h

Step-by-step explanation:

c my zzz bb

dbdgj dd d

sin(24) = x/16

x = 6.51

amy bill and cara each played a game . amy’s scored was ten times bill’s scored . cara’s down the ratio of amy’s scored to bill’s scored to cara’s score. give your answer in its simplest form

Answers

Answer:

10:1:5

Step-by-step explanation:

Given that,

A game was played by Amy, Bill, and Cara.

Let Amy's score be x. Then,

Bill's score would be x/10

Cara's score = x/2

Now,

The ratio of their scores;

x: x/10: x/2

= 1 : 1/10 : 1/2

To equalize the scores, multiply all of them by 10

= (1 * 10): (1/10 * 10) : (1/2 * 10)

= 10 : 1 : 5

Thus, the simplest ratio form would be 10:1:5

Answer:

Step-by-step explanation:

10:1:5

(PICTURE) Im really struggling with questions like these at the moment, if you could please help me out thank you

Answers

Answer:

Arthur should select the Mount Joy Pool when there are less than 10 people at the party

Step-by-step explanation:

The initial fee to rent the Woodbridge Pool = $50

The additional fee per person after renting = $5

The initial fee to rent at Mount Joy Pool = 0 (no initial fee)

The fee per person at Mount Joy Pool = $10

The equation of a straight line is y = m·x + c

Ley y  represent the total cost of renting the pool, x, represent the number of persons in the pool, m represent the fee per person and c represent the initial charges, we get;

The total cost of renting Woodbridge Pool, y = 5·x + 50

The total cost of renting the Joy Pool, y = 10·x

Equating both values of y gives;

5·x + 50 = 10·x

∴ 5·x = 50

x = 50/5 = 10

x = 10

From the above equations, the cost of renting the pool is lower for the Joy Pool when there are less than 10 persons at the pool

It will cost the same amount to rent the pool when the number of persons in the pool are 10 persons and the cost of renting the Mount Joy Pool  will be more than the cost of renting the Woodbridge Pool, when there are more than 10 persons

Therefore, Arthur should select the Mount Joy Pool when there are less than 10 people at the party.

calculate the price with VAT of the following case.
MP=Rs.400000
profit=Rs.20000
Discount=10%
VAT=13%

Answers

Answer: $427140

Step-by-step explanation:

Firstly, we'll add MP to the profit and this will be:

= Rs 400000 + Rs 20000

= Rs 420000

Since there is a discount of 10%, this will then be:

= 420000 - (10% × 420000)

= 420000 - 42000

= $378000

With a VAT of 13%, then the final price will be:

= $378000 + (13% × $378000)

= $378000 + (0.13 × $378000)

= $378000 + $49140

= $427140

Age of Yusuf is 24 years more than half the age of Ajay. 5 years before sum of their ages was 41. Find their present ages.​

Answers

Answer:

Yusuf is 33 and Ajay is 18

Step-by-step explanation:

Let Y and A stand for the ages of Yusuf and Ajay, respectively.

We are told that:

(1/2)A + 24 = Y [Age of Yusuf is 24 years more than half the age of Ajay]

(A-5)+(Y-5) = 41  [5 years before sum of their ages was 41]

Take the definition of Y in the first equation and use it in the second:

Y = (1/2)A+24 from the first equation

(A-5)+(Y-5) = 41    The second equation

(A-5)+(((1/2)A + 24)-5) = 41  Replace Y with (1/2)A+24

(A-5)+(1/2)A + 24-5 = 41

A-5+(1/2)A + 24-5 = 41

(3/2)A + 14 = 41

(3/2)A = 27

A = (2/3)(27)

A = 18

Ajay is 18 years old

Yusuf is Y=(1/2)(18)+24

Yusuf is 33 years old

====

Check:  Is Yusuf 24 years more than half the age of Ajay?

Ajay = 18, so (1/2)18 = 9.  Add 24 years to get 33.  Yes, this works since Yusuf is 33 years old

Was the sum of their ages = 41 five years ago?

Ajay would have been 13 and Yusuf would have been 28  28+13 = 41  YES

A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.

Answers

Answer:

57m^2

Step-by-step explanation:

First we need to find the area of both shaded and not shaded regions. Since we are solving area for 2-D images we will use the equation Area=length(with)

Shaded Region: 11(9)=99

Unshaded Region: 8(6)=42

Now we subtract the shaded region with the unshaded region to get an area of 57 Meters. Therefore the area of the shaded region is 57m^2

Answer: 57m^2 is the answer

how do I simplify when there are fractions on fractions

Answers

Answer: y/y+x

Step-by-step explanation: Reduce the fraction at the bottom (1 - x/y) (1 + x/y) = 1 + x/y = simplify and you get y/y+x

Please hurry due tomorrow morning!!!

Jazzie and Jocelyn are racing on a track.Jazzie runs 4 miles per hour and gets a 0.25 mile head start. Jocelyn runs 0.5 miles per hour faster than Jazzie. If Jocelyn and Jazzie run the same distance, how many hours, x, do they run?

F. 4x + 0.25 = 0.5x
G.4x + 0.25 = 4.5x
H.4x + 0.25 =3.5 x
J. 4x - 0.25 = 3.5 x

Answers

Answer:

G: 4x + 0.25 = 4.5x

Step-by-step explanation:

1. since Jazzie runs 4 mph add .5 to that to get Jocelyn's speed of 4.5 mph

2. Since Jazzie has a head start add .25 to 4x to get 4x + 0.25 = ?

3. put Jocelyn's speed in the question Mark to get 4x + 0.25 = 4.5x

What is the value of x in the equation 5x+3=4x?

Answers

Answer:

x = -3

Step-by-step explanation:

5x + 3 = 4x,

x + 3 = 0,

x = -3

Answer:

the answer for this would be -3

For there is always light, if only we’re brave enough to see it.

If only we’re brave enough to be it.

Answers

Answer:

sun is the answer to absolutely

what is the formula to get combined mean value​

Answers

Answer:

The combined mean can be calculated by plugging in our numbers into the formula given: [(57*82)+(23*63)/(57+23)]=76.5

Solve for b.
7
b
12
b= ✓ [?]
Pythagorean Theorem: a2 + b2 = c2
Enter

Answers

Answer: [tex]b=\sqrt{95}[/tex]

Step-by-step explanation:

To solve for b, we want to use the Pythagorean Theorem as given.

b and 7 are the legs, and 12 is the hypotenuse.

[tex]7^2+b^2=12^2[/tex]      [exponent]

[tex]49+b^2=144[/tex]     [subtract both sides by 49]

[tex]b^2=95[/tex]               [square root both sides]

[tex]b=\sqrt{95}[/tex]

Now we know [tex]b=\sqrt{95}[/tex].

Given a sphere with radius r, the formula 4x1/2 gives
A. the volume
B. the surface area
C. the radius
D. the cross-sectional area

Answers

Answer:

c. the radius

Step-by-step explanation:

To calculate the radius of a sphere:

r = d x ½

where d = diameter

The area CA) of a Paroullelogram is found by using this formula A =BH What is the area when to b is 7cm and h is 3cm?​

Answers

Answer:

21cm2

Step-by-step explanation:

Area (A = BH)

B = 7cm

H = 3cm

Therefore we multiply Base(B) with height (H) to get the area.

Hence;

Area = (7 × 3) cm2

= 21cm2

can someone explain step by step how to get the answer?

Answers

Answer: x³+8x²+11x-20

Step-by-step explanation:

To find which polynomial has the roots of -5, -4, and 1, we want to first put them into an equation.

-5 is the same as x+5=0

-4 is the same as x+4=0

1 is the same as x-1=0

Now that we have the factors, we can multiply them together.

(x+5)(x+4)(x-1)                  [FOIL]

(x²+4x+5x+20)(x-1)          [combine like terms]

(x²+9x+20)(x-1)                 [FOIL]

x³-x²+9x²-9x+20x-20       [combine like terms]

x³+8x²+11x-20

Therefore, x³+8x²+11x-20 is the correct polynomial with those roots.

The distance AB rounded to the nearest tenth = [?]

Answers

Answer:

4.5 units

Step-by-step explanation:

Use the distance formula

[tex]\sqrt{(-1-3)^{2}+(-1-1)^{2} }[/tex]

[tex]\sqrt{16+4}=\sqrt{20}[/tex]

The distance AB on the diagram rounded to the nearest tenth is: 4.5 units

Meaning of Distance

Distance can me defined as a measure that tells us how far apart two objects or individual are to each other.

Distance is very important as it helps us know where exactly things are located and whether they are close or  far apart

In conclusion, The distance AB on the diagram rounded to the nearest tenth is: 4.5 units

Learn more about Distance: https://brainly.com/question/17273444

#SPJ2

Sin(2x+30°)=1
Tìm x
Cảm ơn vì giúp đỡ

Answers

Answer:

Step-by-step explanation:

This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):

[tex]sin^{-1}[sin(2x+30)]=sin^{-1}(1)[/tex]

On the left, the inverse sin "undoes" or cancels the sin, leaving us with

2x + 30 = sin⁻¹(1)

The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:

2x + 30 = 90 and

2x = 60 so

x = 30

You're welcome!

The amount oRs.4500 for 5 ye is 8550 8550. Find the interest and the rate of interest​

Answers

Answer:

Step-by-step explanation:

We have;

P = 4500

A = 8550

T= 5 years

I= ?

R=?

We know,

A= P+I

or, 8550=4500+I

∴I=8550-4500= 4050

Now, I= PTR/100

Or, 4050= (4500*5*R)/100

Or, 4050=45*5*R

Or, R= 4050/225

∴R= 18%

6-
С
5
B
B
4-
3-
D
2-
A
А
1-
0
-7
-5
0
-6
.4
-3
-2
-1
2
3
4
5
6
-10
-2-
-3-
-4-
Which of the following sequences of transformations is used to obtain figure A'B'C'D' from ABCD?

Answers

Answer: -1

Step-by-step explanation:

Look at the patter it has


A survey was taken of students in math classes to find out how many hours per day students spend
on social media. The survey results for the first., second-, and third-period classes are as follows:
First period: 2,4,3,1,0, 2, 1, 3, 1,4,9,2,4,3,0
Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Third period: 4,5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1,3
Which is the best measure of center for second period and why? (5 points)
1. Mean, because there are no outliers that affect the center
2. Median, because there is 1 outlier that affects the center
3. Interquartile range, because there is 1 outlier that affects the center
4. Standard deviation, because there are no outliers that affect the center

Answers

Answer:

1. Mean, because there are no outliers that affect the center

Step-by-step explanation:

Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2

Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

The mean = ΣX / n

n = sample size, n = 15

Mean = 34 / 15 = 2.666

The median = 1/2(n+1)th term.

1/2(16)th term = 8th term.

The 8th term = 2

The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.

Both interquartile range and standard deviation are measures of spread and not measures of centre.

Simplify the following​

Answers

Answer:625/16 or 39,0625

Step-by-step explanation:

=5*5/2*5÷2*3/5*3

=160/64÷8/125

=625/16 or 39,0625

Answer:

Alternate form is 1525.87891

which one is the right graph

Answers

Answer: C

Step-by-step explanation:

The formula for a volume of a square-based prism is L² x h

If we insert 2 for L

We get 2² x 12 = 48

Same thing if we insert 3

3² x 12 = 108

As L is increasing, the volume is also increasing, so options A and D are out

The growth of the volume is not linear; it's exponential, eliminating B to make C the answer

If you want something visual, you can put y=12x² into a graphing calculator.

Need help here please and thank u

Answers

Answer:

I think C sorry if wrong

Step-by-step explanation:

i’m pretty sure it’s C

a marathon runner can jog one mile in 7.5 minutes. how many miles can the runner complete in 3.5 hours

Answers

1 hour = 60 minutes

3.5 hours x 60 = 210 minutes

210 minutes / 7.5 minutes per mile = 28 miles

Answer: 28 miles

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