5.
Geometric Sequence goes from one term to the next by always multiplying by the same
value.
Examples:
1, 2, 4, 8, 16,...... common multiplier is multiply by 2
27, 9, 3, 1, 2,........ Common multiplier is multiplied by 13
t(n) = ab"
b= common multiplier
n = term # (the nth term)
a= zeroth term
Given the sequence 70, 49, 34.3, 24.01, ....
a. What is the common multiplier?
b. What is the zeroth term?
c. What is the value of the 25th term t(25)?

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

a. What is the common multiplier?

This will be gotten by dividing the second term by the first term. This will be:

= 49/70 = 0.7

Common multiplier = 7/10 or 0.7

b. What is the zeroth term?.

a = 70

The zeroth term is 70

c. What is the value of the 25th term t(25)?

nth term = ar^n-1

25th term = ar^25-1

= ar^24

= 70 × 0.7^24

= 70 × 0.0001916

= 0.013412


Related Questions

WHAT IS THE PROBABLITY OF GETTING FACE CARD?​

Answers

The probability is 12/52

Answer:

3/13?

Step-by-step explanation:

Which statement is true? 1. Parallelism are frameworks 2. A square is always a rhombus 3.A rhombus is always a square 4. A rectangle is a trapezoid

Answers

Answer:

2

Step-by-step explanation:

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  

where p and q are the two diagonals  

Volume of a pyramid = 1/3 x ( length base x height)

PLS HELP ILL GIVE BRAINLIEST

Answers

Answer:

answer is 8

Step-by-step explanation:

take Lcm of 8 and 32

Answer:

8

Step-by-step explanation:

I NEED HELP PLEASE IT WOULD HELP ME ALOT

Answers

Answer:

Step-by-step explanation:

21 is the side opposite the angle you want.

67 is the hypotenuse. Those two sides define the Sin

Sin(theta) = opposite / hypotenuse

Sin(theta) = 21 / 67

Sin(theta) = .313432

theta or x = sin-1(0.313432)

x = 18.27

Sorry, I must have hit the wrong key the first time.

Answer:

18.27˚

Step-by-step explanation:

4. Find the roots of the equation 30x – 45 = 5x? by factoring.

Answers

Answer:

[tex]x = 1\frac{4}{5}[/tex]

Step-by-step explanation:

Factor and set each factor equal to zero.

Answer:

Step-by-step explanation:

30x-45=5x

30x-5x=45

25x=45

x=45/25

x=9/5

Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio, si avanza medio kilómetro en bus y lo demás a pie ¿Cuánto le falta caminar?

Answers

Answer:

Al estudiante le falta caminar [tex]\frac{1}{3}[/tex] de kilómetro.

Step-by-step explanation:

Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio. Dos tercios equivale a la fracción [tex]\frac{2}{3}[/tex] .

El estudiante avanza medio kilómetro en bus. Un medio equivale a la fracción [tex]\frac{1}{2}[/tex], por lo tanto un medio es la mitad de una cantidad.  Para calcular la distancia recorrida en bus se realiza la siguiente multiplicación:

[tex]\frac{1}{2} *\frac{2}{3}[/tex]

Resolviendo:

[tex]\frac{1}{2} *\frac{2}{3} =\frac{1*2}{2*3} =\frac{2}{6} =\frac{1}{3}[/tex]

Entonces, la distancia recorrida en bus es [tex]\frac{1}{3}[/tex] de kilómetro.

Para calcular la distancia recorrida a pie se calcula la diferencia entre la distancia total a recorrer por el estudiante y la distancia recorrida en bus. Esto es:

[tex]\frac{2}{3} - \frac{1}{3}[/tex]

Resolviendo:

[tex]\frac{2}{3} - \frac{1}{3}=\frac{2-1}{3} =\frac{1}{3}[/tex]

Al estudiante le falta caminar [tex]\frac{1}{3}[/tex] de kilómetro.

14.How long will it take a car to go from a complete stop to 44 km/hr if they are accelerating at 5
km/hr2?

Answers

Answer:

8.8

Step-by-step explanation:

A car wash detailed 288 cars in 8 hours. At what rate did the car wash detail cars in cars per hour?
A.
34 cars per hour
B.
37 cars per hour
C.
36 cars per hour
D.
35 cars per hour

Answers

Answer:

a

Step-by-step explanation:

Pls help kendjehdjjekekebwvujfjej

Answers

Answer:

B. 4n²+11n-6

Step-by-step explanation:

________________

Y
х
B В
The transformation below is applied
to AXYZ
(XY) → (0.5x, 0.5y)
What are the coordinates of point X"?
0 62.0.5)
(0.5,-2)
(2.0.5)
0 1.2, 0.5)

Answers

Answer:

(-2, 0.5) first

Step-by-step explanation:

X (-4, 1) → X' (-4*0.5, 1*0.5)

X'(-2, .5)

hi, can you please show me the solution on this one?

How many different batting orders can a coach make from the 9 players?

362,880
9
40,320

i'll give brainliest if you're right! thanks in advance..

Answers

Answer:

362,880

Step-by-step explanation:

Since there are 9 possible players for the first position, 8 for the 2nd (1 is taken off), 7 for the 3rd, etc. So you would multiply these numbers together. So there are 362,880 different possible batting orders.

WILL MARK BRAINLIEST!!!
Jamie is going on a trip to visit her grandparents. The airline allows each suitcase to hold 50 pounds. She has already packed clothes and other things that weigh a total of 26 pounds. The inequality p + 26 ≤ 50 can be used to see how much more she can pack in the suitcase.

Why is this problem written as an inequality instead of an equation?

Answers

Answer:

Because the airline allows each suitcase to hold up to 50 pounds, and it doesn't force them to hold exactly 50 pounds

Answer:

Step-by-step explanation:

b/c she doesn't have to have exactly 50 pounds,  she can have any were from 0 to 50 pounds  in each suit case.   They are not going to charge her more, if she only brings 49 pounds :DDDD  It's the same charge up to and including 50 pounds.  If she brings 51 pounds then maybe she would get charged more :P    But not for 50 pounds or less .  :)  Make sense?

The diagram shows different forms of thermal energy transfer.
What do the flames below the pot represent?

Answers

Is there a picture of the diagram ?

A garden hose is leaking 1 liter of water every 1/8 hour. How many liters of water will it leak in 3 ¾ hours? *

Answers

1 hour is 60 minutes
Therefore, 1/8 of 60 is 7.5, meaning, 1 litre of water is leaked every 7.5 minutes.
3¾ hours is 60 x 3 + 60/4
= 180 + 15
= 195 minutes
As 3 ¾ hours is 195 minutes and 1 litre is leaked every 7.5 minutes, we have to divide 195 by 7.5.
195/7.5 = 26

Therefore, the garden hose will leak 26 litres in 3 ¾ hours.

Ani was told to write the number four and eight hundredths. She wrote 4.8. Was Ani correct or incorrect

Answers

Incorrect because the hundredths place is one over therefore it should be 4.08
Incorrect. The answer is 4.08. Ani wrote four and eight tenths.

Calculate the volume of the composite solid.

Answers

Answer:

about 33.52 in^3

Step-by-step explanation:

Volume of composite figure = volume of cone + volume of hemisphere

Volume of a cone = 1/3(nr^2h)

n = 3.14

r = radius  

h = height

1/3 x 3.14 x 2^2 x 4 = 16.74 inches^3

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 3.14

r = radius

2/3 x 3.14 x 2^3 =  16.74 inches^3

16.74 inches^3 +  16.74 inches^3 = 33.49

3.2/.8=
help pls
also the steps to doing it.

Answers

Answer:

4

Step-by-step explanation:

I don't really know how to show the steps, but one of the easiest ways to do this is to see how many times 0.8 goes into 3.2.  So 0.8 + 0.8 + 0.8 +0.8 = 3.2  So 3.2/0.8 is 4

Or you can multiply the numerator and denominator by 10, which keeps the value of the fraction but gets rid of pesky decimals: 32/8 this should be fairly straight forward and a key reason to memorize your times tables.  8*4=32

Find the area of the figure F2 cm
2 cm
5 cm
5 cm

Answers

Answer:

the answer would be 20cm^2 i took a quiz.

Step-by-step explanation:

Select the values that make the inequality n > -8 true.
(Numbers written in order from least to greatest going across.)

Answers

Answer:

9

Step-by-step explanation:

I'm somewhat confused I think you're forgot to put so more information

The value that makes the inequality n > -8 true will be -2. Thus, the correct option is A.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below:

n > -8

The value of n is greater than -9. Then the value that makes the inequality n > -8 true will be -2.

Thus, the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

The missing options are given below.

a) - 2

b) - 9

c) - 10

d) - 20

The perimeter of a triangular park is (16x + 3) feet. Two of the sides are 5x - 1 and 2x + 5. What is the missing length?

Answers

Answer:

9x - 1

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

missing length = perimeter - sum of the two sides

sum of the two sides = (5x -1) + (2x + 5) = 7x + 4

missing length = 16x + 3 - (7x + 4) = 9x-1

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Answers

Answer:

why they're so helpful

Step-by-step explanation:

Answer:

Me too it so much wooooorrrrkkk

Step-by-step explanation:

Solve using the Quadratic Formula
5x2-3x-7=0
A)
B)
C)
D)

Answers

Answer:

C) [tex]\displaystyle x=\frac{3 \pm \sqrt{149}}{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

5x² - 3x - 7 = 0

a = 5, b = -3, c = -7

Step 2: Solve for x

Substitute in variables [Quadratic Formula]:                                                  [tex]\displaystyle x=\frac{3 \pm \sqrt{(-3)^2-4(5)(-7)}}{2(5)}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle x=\frac{3 \pm \sqrt{9-4(5)(-7)}}{2(5)}[/tex][√Radical] Multiply:                                                                                           [tex]\displaystyle x=\frac{3 \pm \sqrt{9+140}}{2(5)}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle x=\frac{3 \pm \sqrt{149}}{2(5)}[/tex][Fraction] Multiply:                                                                                            [tex]\displaystyle x=\frac{3 \pm \sqrt{149}}{10}[/tex]

True or False
3 is a factor of n(n + 2)(n − 1) by mathematical induction.
Explain why.

Answers

true true true true true true true

Answer:

false

Step-by-step explanation:

3(3+2)(3-1) is not =0

The factor of n(n+2)(n-1) = 1

What additional information is needed to prove that ∆LPM and ∆OPN are congruent by SAS postulate?
A. ∠P ≅ ∠P
B. ∠LPO ≅ ∠MPN
C. ∠LPM ≅ ∠OPN
D. ∠PON ≅ ∠PLM

Answers

Answer:

hggh

Step-by-step explanation:bmv,g,vg,cvbbgfghvc

Simplify: -10m + 2m4 – 13m – 20m4

Answers

Answer:

-23m-18m^4

Step-by-step explanation:

-10m+2m^4-13m-20m^4

(-10m+-13m)+(2m^4-20m^4)

-23m+-18m^4

-23m-18m^4

If this helps please mark as brainliest

pleasee helppp i have 15 assignments to finish plus a final exam in 4 hours !!

Answers

f(x) = square root of (-7 + 2) - 6

f(x) =square root of (-5) - 6

f(x) = 2.236 = 2.2 - 6

f(x) = -3.8

F(x) = √x+2 -6

F(x) = √7+2 -6

F(x) = 3-6

F(x) = -3

On a​ map, 1 inch equals miles. Two houses are inches apart on the map. What is the actual distance between the​ houses? Use pencil and paper. Show how you can represent the scale with two different ratios.

Answers

Answer:

The actual distance between the houses is 18.9 miles.

Step-by-step explanation:

The exact question is as follows :

Given - On a​ map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.

To find - What is the actual distance between the​ houses?

Solution -

Given that,

1 inch = 5.4 miles

⇒3.5 inches = 3.5 × 5.4 miles

                 = 18.9 miles

∴ we get

The actual distance between the houses is 18.9 miles.

HELP I HAVE 20 MINUTES!!!!!!!!!

At Shoe Line, there are 132 boots, which make up 24% of the shoes in the store. At Shoe Warehouse, there are 120 boots, which make up 15% of the shoes in the store.
Which store has more shoes? Justify your answer by showing your work or the strategy you used.

Answers

Answer:

Shoe warehouse

Step-by-step explanation:

24% of ____ is 132

15% of ____ is 120

first lets solve what there is at shoe line. since 24% times something is 132, something is 132/24%. Since % means out of 100, do 132/24*100 is 550.

Next we do the same thing to get 120/15 * 100 = 800. So, there are more at shoe warehouse.

hope this helped, and brainliest would be appreciated :)

Did I get this right ?

Answers

Answer:

square root of 15 is the answer

Step-by-step explanation:

accurate answer is 15.

Which of the following angles in standard position has a measure between 90° and
180°?

Answers

The answer is A

The angle is greater than 90 degrees but less than 180 degrees
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