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

please find y and round to the nearest 10th

Answers

Answer:

178.3 ft

Step-by-step explanation:

Since you have the angle 27 and the side length of 350 you can set up a proportion that is Tan(27)=y/350. You can solve from this to 350*tan(27)=y and then simplify to 178.3.

Answer:

y =178.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 27 = y/350

350 tan 27 = y

178.3339073=y

Round to the nearest tenth

y =178.3

Write an equation of the line. What is the equation of the line?

Answers

Answer:

y=-1

Step-by-step explanation:

As the line is horizontal in nature and pass through (2,-1), the equation is y=-1

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Edgar has test scores of 87, 92, 90, 84, 88, and 91. What is the lowest grade Edger can get on the next test to have an A average (90 or higher)?

A. 94
B. 96
C. 98
D. 100

Answers

Answer:

C. 98

Step-by-step explanation:

If you add all of his previous test scores and go through the list of numbers you get C.98 as the answer. I added all of his test scores plus 98 which equals 630 divided by 7 (because if he got a 98 there would be 7 test scores) you would get 90 or an A average.

Answer:  C) 98

=============================================================

Explanation:

Let x be the next test grade. It ranges from 0 to 100, inclusive of both endpoints.

The original set {87,92,90,84,88,91} becomes {87,92,90,84,88,91,x} after adding on that score.

We have 7 scores now. We find the average by adding up those seven scores and dividing by 7.

average = (sum of the scores)/(number of scores)

average = (87+92+90+84+88+91+x)/7

average = (532+x)/7

We want the average to be 90 or higher, so we would then have these steps

[tex]\text{average} \ge 90\\\\\frac{532+x}{7} \ge 90\\\\532+x \ge 90*7\\\\532+x \ge 630\\\\x \ge 630-532\\\\x \ge 98\\\\[/tex]

This means Edgar must score a 98 or higher on the seventh test in order for his overall average to be 90 or higher.

In other words, the lowest test score he can get is a 98.

------------------

Extra info (optional section):

Let's say Edgar gets the highest score possible.

So he gets x = 100

This would mean

average = (87+92+90+84+88+91+x)/7

average = (532+x)/7

average = (532+100)/7

average = 632/7

average = 90.2857 which is approximate

We can see that his overall average would stick to 90 if the teacher is rounding to the nearest whole number.

Is the collection of nice Nepali songs a set ? Why ?​

Answers

Answer:

kun vannu vayeko hoo bujena ni saathi yo question complete xa ta.

Answer:

Is the collection of nice Nepali songs a set ? Why ?

=⟩ yes the collection of nice Nepali songs a set Because it can be collected on bracket .

Convert 13pi/6 to a degree measure

A=390
B=2450.44
C=30
D=780

Answers

Answer:

390 degrees

Step-by-step explanation:

The conversion factor is 180/pi

13 pi /6 * 180/pi

13/6 *180

390

2.) Find the measure of exterior angle X:

Answers

ANSWER:
try 110 , sorry if that’s wrong

Answer:

x = 90

Step-by-step explanation:

Here 60 is angle B, 30 is Angle a, B is The third angle of the triangle, and x is the exterior angle measurement!

60 + 30 + b= 180

a + x = 180

60 + 30 + b= 180

90 + b = 180

b = 90

90 + x = 180

x = 90

Note:

exterior angle  equal to the sum of its two opposite non-adjacent interior angles.

an isosceles triangle is such that AC=BC and has vertices A=(3,4), B=(7,4) and C=(5,8) a) Calculate the length of AC B) the line of symmetry of the triangle meets the line AB at M what are the coordinates of M​

Answers

Answer:

Step-by-step explanation:

A( 3 , 4)  &   C(5 , 8)

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]AC = \sqrt{(5-3)^{2}+(8-4)^{2}}\\\\=\sqrt{(2)^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47 units[/tex]

M is the midpoint of AB

A(3,4)  &B(7,4)

[tex]M(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\M(\frac{3+7}{2},\frac{4+4}{2})\\\\M(\frac{10}{2},\frac{8}{2})[/tex]

M(5,4)

Davina uses a diagram to demonstrate the Pythagorean Theorem.
3
hypotenuse
How are the squares related to the sides of the triangle?
The area of each square is equal to the square of the length of the side to which it is adjacent.
The area of each square is equal to the length of the side to which it is adjacent.
The sum of the areas of the squares is equal to the square of the perimeter of the triangle.
The perimeter of each square is twice the length of the side of the triangle squared.

Answers

Answer:

the first option : The area of each square is equal to the square of the length of the side to which it is adjacent.

Select two choices that are true about the function f(x)=23x+14/x

Answers

Answer:

There is an asymptote at x = 0

There is an asymptote at y = 23

Step-by-step explanation:

Given the function:

(23x+14)/x

Vertical asymptote is gotten by equating the denominator to zero

Since the denominator is x, hence the vertical asymptote is at x = 0. This shows that there is an asymptote at x = 0

Also for the horizontal asymptote, we will take the ratio of the coefficient of the variables in the numerator and denominator

Coefficient of  x at the numerator = 23

Coefficient of x at the denominator = 1

Ratio = 23/1 = 23

This means that there is an asymptote at y = 23

a grocery store buys boxes of cereal for $ 2.00 each and sells them for 50% more. what does the grocery store charge its customers for each box of cereal?

Answers

Answer:

$3.00

Step-by-step explanation:

First find the markup

2.00 * 50%

2 * .5

1

Add this to the original price

2+1 =3

The store sells the cereal for $3.00

Answer:

$3

Step-by-step explanation:

The grocery store pays $2.00 for each box of cereal bought.

First, find 50% of the cost of each box:

2.00 x 0.50 = 1.00

Next, add the additional amount to the starting price:

2.00 + 1.00 = $3.00

$3.00 is your answer.

~

A shopkeeper bought Rice cooker for Rs. 5000 and sold it to a customer for Rs. 5,085 with 13% VAT.
Find his profit or loss percent.

Answers

Answer:

number to get a better price

Answer:

if I'm not wrong,then this is the equation

Step-by-step explanation:

CP=5000

SP=5085

VAT=13℅

now,

VAT amount=VAT℅ OF SP

=13℅ OF 5085

=13/100*5085

=rs.661.05

again,

profit℅= SP-CP/CP*100℅

=85/500*100

=17℅ answer

express p/q form of 0.375​

Answers

Answer:

15/40

Step-by-step explanation:

[tex]0.375 = \frac{375}{1000} \\ \\ = \frac{15}{40} [/tex]

help me with this math question please

Answers

The answer is 245.
44+56+60+85= 245 Which is the least needed to cover the expenses.

Answer:

$44.00 + $85.00 = $129.00

Step-by-step explanation:

The least amount that she needs is $129.00 because we're summing the amount for food and House Rent.

Movies and Shopping are less important.

There is a loss of Rs 5 when a watch is sold at the discount of 10%. IF the watch is sold at the discount of 5%, there is profit of Rs 22.50. Find the marked price of the watch.​

Answers

at disc of 10% there was 5rupees loss and at disc of 5 % dis there was 22.5 profit
so 5% *x= 22.5+5=27.5
x=27.5 *20
x=550

Find the measure of the indicated angle.

Answers

Answer:

Does the answer help you?

Find Missing Angle
Instructions: Find the measure of the indicated angle to the nearest degree.
27
28
?
II

Answers

Answer:

75 degrees

Step-by-step explanation:

Use trigonometry

we are given opposite(27) and hypotenuse(28), so use sin

sin=opp/hyp

sin(x)=27/28

x=arcsin(27/28)

x=74.64111442

A rectangular vegetable patch has a perimeter of 18 meters. Its area is 18 square meters. What are the dimensions of the vegetable patch?

Answers

Answer:

6 meters and 3 meters are the dimensions of the vegetable patch.

Step-by-step explanation:

Keep in mind the formulas for perimeter and area of a rectangle are:

A - lw

P - 2 (l + w)

List the factors of 18:

1, 2, 3, 6, 9, 18

POSSIBLE DIMENSIONS of the vegetable patch:

1 meter and 18 meters

Area - 18 m^2

Perimeter - 38 meters

2 meters and 9 meters

Area - 18 m^2

Perimeter - 22 meters

3 meters and 6 meters

Area - 18 m^2

Perimeter - 18 meters

The rectangular vegetable patch with the dimensions 3 meters and 6 meters corresponds with the given area and perimeter of the vegetable patch mentioned. So that is your answer.

Hope this helps!

Which correlation best describes the data below.

Answers

Answer:

Weak negative correlation

Factor 4n4 + n3. find the factor

Answers

Answer:

n^3( 4n+1)

Step-by-step explanation:

4n^4 + n^3

2*2*n^3*n + 1*n^3

Factor out the common terms

n^3( 4n+1)

I’m having a lot of trouble, can someone guide me, step by step?

Answers

Answer:

Hi hopefully this helps you!

Step-by-step explanation:

To find the area of a circle you can use the formula A = πr^2

The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5

A = π(1.5)^2

   = 7.07

Because this is a semicircle, divide this area by 2

   = 3.53429 in^2

Add up the area of this semi circle with the area of the rectangle

A = (3.53429) + (3x4)

   = 15.53429 in^2

To find the circumference/ perimeter of a circle use this formula C = 2πR

C = 2π(1.5)

   = 9.42478 inches

Again because this is a semicircle, divide by 2

   = 9.42478 / 2

   = 4.71239 inches

To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom

P = 4.71239 + 4 + 4 + 3

  = 15.71239 inches

So the final answer would be

A = 15.53 squared inches

P = 15.71 inches

Hope this helps! Best of luck in your studies <3

I
7. The total cost to rent a truck is $100 and $0.20 per km.
a. Determine an algebraic model for the relationship between total cost and distance driven. Use C to
represent total cost (S) to rent the truck and d to represent distance driven (km).

Answers

Answer:

C= 100+ d*0.2

Step-by-step explanation:

Give data

Cost of rental = $100

Cost per km= $0.2

Total cost= C

Distance= d

Let us model the expression

Hence the expression is given as

C= 100+ d*0.2

help me please!!! :)

Answers

Answer:

D

Step-by-step explanation:

f(x) = x^2+1 at x=-1, f(-1)=1+1=2

Use the graph to find the constant of proportionality (unit rate)

Answers

Answer:

9) 10

10) 5

Step-by-step explanation:

can someone please help me solve this?

Answers

Answer:

-15

Step-by-step explanation:

df(x, y) / dy = lim (f(x, y+h) - f(x, y)) / h =

lim (e^x^2 - 15y - 15h - e^x^2 ‐ 15y) / h = lim -15h / h = -15

so, the first derivative of f(x,y) by y is simply a constant : -15

fy (x, y) = -15 for any and every values of x and y.

the fast track would be derivative calculation :

the derivative by y makes x a constant. and every constant is eliminated for derivation.

so, e^x^2 goes away (= 0 in the derivative).

that leaves -15y = -15×y¹. its derivative simply is

1×-15×y⁰ = -15

Identify the glide reflection rule in the given figure.

Question 8 options:

Translation: (x,y) → (x – 5,y); Reflection across y-axis


Translation: (x,y) → (x,y – 5); Reflection across y-axis


Translation: (x,y) → (x,y + 5); Reflection across y-axis


Translation: (x,y) → (x,y + 5); Reflection across x-axis

Answers

Answer:

B

Step-by-step explanation:

The shape clearly is reflected across y axis and the x coordinates remain the same. We can see a change in the y coordinates and the shape has shifted 5 units down. Hence (x, y) -> (x, y-5) and then reflection across y axis is the answer

Answer:

B

Step-by-step explanation:

Find x.

A. √-2
B. 4
C. √2/2
D. √6/2

Answers

Answer:

sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = x/2

2 sin 45 =x

2 (sqrt(2)/2) =x

sqrt(2) =x

An exponential function fx) is reflected across the y-axis to create functiong(x). Which is a true statement
regarding fa) and g(x)?
The two functions have no points in common
The two functions have the same initial value
The two function have opposite output values of each other for any given input value
The graph of the two functions would look exactly the same
Intro

Answers

Answer:

The two functions have the same initial value

5^-4 over 5^3
simplify
A. 5^7
B. 5^-1
C. 1/5
D. 1/5^7​

Answers

Answer:

D is the correct answer.

simplify the following​

Answers

Answer:

1) 11[tex]\sqrt{3}[/tex]

2) 2[tex]\sqrt{2}[/tex]

3) [tex]20\sqrt{3} + 15\sqrt{2}[/tex]

4) [tex]53 + 12\sqrt{10}[/tex]

5) -2

6) [tex]7\sqrt{2} - 5\sqrt{3}[/tex]

Step-by-step explanation:

1) 2[tex]\sqrt{12}[/tex] + 3[tex]\sqrt{48}[/tex] - [tex]\sqrt{75}[/tex]

=(2 × 2[tex]\sqrt{3}[/tex] )+ (3 × 4[tex]\sqrt{3}[/tex]) - 5[tex]\sqrt{3}[/tex]

= 4[tex]\sqrt{3}[/tex] + 12[tex]\sqrt{3}[/tex] - 5[tex]\sqrt{3}[/tex]

= 11[tex]\sqrt{3}[/tex]

2) 4[tex]\sqrt{8}[/tex] -2[tex]\sqrt{98}[/tex] + [tex]\sqrt{128}[/tex]

= (4 × 2[tex]\sqrt{2}[/tex]) - (2 × 7[tex]\sqrt{2}[/tex]) + 8[tex]\sqrt{2}[/tex]

= 8[tex]\sqrt{2}[/tex] - 14[tex]\sqrt{2}[/tex] +8[tex]\sqrt{2}[/tex]

= 2[tex]\sqrt{2}[/tex]

3) 5[tex]\sqrt{12\\}[/tex] - 3[tex]\sqrt{18} + 4 \sqrt{72} +2\sqrt{75}[/tex]

= 5× [tex]2\sqrt{3}[/tex] - 3×[tex]3\sqrt{2}[/tex] + 4×[tex]6\sqrt{2}[/tex] + 2×[tex]5\sqrt{3}[/tex]

= [tex]10\sqrt{3} - 9\sqrt{2} +24\sqrt{2} +10\sqrt{3}[/tex]

= [tex]20\sqrt{3} + 15\sqrt{2}[/tex]

4) [tex](2\sqrt{2} + 3\sqrt{5} )^{2}[/tex]

= [tex]8 + 12\sqrt{10} + 45[/tex]

= [tex]53 + 12\sqrt{10}[/tex]

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

= [tex]1 - 3[/tex]

= -2

6) [tex](2\sqrt{6} -1) (\sqrt{3} -\sqrt{2} )[/tex]

= [tex]2\sqrt{18}-2\sqrt{12} -\sqrt{3} +\sqrt{2}[/tex]

= 2×[tex]3\sqrt{2}[/tex] - 2×[tex]2\sqrt{3}[/tex] - [tex]\sqrt{3} + \sqrt{2}[/tex]

= [tex]6\sqrt{2} - 4\sqrt{3} -\sqrt{3} +\sqrt{2}[/tex]

= [tex]7\sqrt{2} - 5\sqrt{3}[/tex]

Hope the working out is clear and will help you. :)

Step-by-step explanation:

please I solved the question in the diagram above

If a polynomial function has n degree, then it can have at most (n - 1) ____________ in the graph.

Answers

9514 1404 393

Answer:

  turning points

Step-by-step explanation:

The number of turning points is the number of real zeros in the derivative polynomial. As you know, the number of real zeros of a polynomial is at most the polynomial degree.

The degree of the derivative is always 1 less than the degree of the polynomial. So, a polynomial of degree n will have at most (n-1) turning points.

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