Write an
explicit formula for
an,
then
th
term of the sequence 100, 20, 4, ....

Answers

Answer 1

Answer:

Step-by-step explanation:

a1 = 100

r = 1/5

an = 100 (1/5)^(n - 1)

Try it. We have the answer for a_3

a_3 = 100 * (1/5)^(3 - 1)

a_3 = 100 * (1/5)^2

a_3 = 100 * 1/25

a_3 = 4  which is just what the series says should be the answer.


Related Questions

x=4y+1
in slope intercept form

Answers

Answer:

y= 1/4x -1/4

Step-by-step explanation:

Answer:

y=1/4x-1/4

Step-by-step explanation:

thats how you write it in y=mx+b form

i hope this helps.    :)

Solve the inequality. 5(x + 1) – 10 ≥ 2x + 3(x + 2)

Answers

there are no values of x that make the inequality true
No solution.

The solution of the inequality  5(x + 1) - 10 ≥ 2x + 3(2x + 2) is x ≤ - 16/3.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a b.

a is bigger or equal value of an is indicated by the notation a b.

Given, Inequality is 5(x + 1) - 10 ≥ 2x + 3(2x + 2).

5x + 5 - 10 ≥ 2x + 6x + 6.

5x + 5 - 10 ≥ 8x + 6.

5x - 8x ≥ 10 + 6.

- 3x ≥ 16.

3x ≤ - 16.

x ≤ - 16/3.

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I need help with geometry

Answers

Answer:

6m

Step-by-step explanation:

Set up a proportion:

x/1.5=10/2.5

Cross multiply:

15/2.5=2.5x/2.5

x=6

The palm tree is 6m tall.

Hope this helps!

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Find the slope of each linear graph to solve the riddle.

( i just need help with V)

Answers

Answer:

slope=15÷10=1.5 or 3/2

Step-by-step explanation:

slope=rise÷run

10 right 15 up

slope=15÷10=1.5 or 3/2

The slope is calculated as the ratio of the rise and run. The slope of the given line will be [tex]\dfrac{3}{2}[/tex].

In mathematics, slope refers to the measure of the steepness or inclination of a line. It describes how much a line slants or rises/falls as it moves horizontally.

A positive slope means the line is upward-sloping, rising from left to right, while a negative slope indicates a downward-sloping line.

The slope can be calculated by the ratio of the rise and the run. The points on the given graph are A(10,30) and B(20,45). The slope is calculated by the formula written below,

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope of the line is calculated below

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}\\m = \dfrac{45-30}{20-10}\\m = \dfrac{3}{2}[/tex]

The slope of the line will be  [tex]\dfrac{3}{2}[/tex].

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A school requires that 1 adult accompany every 8 students on a field trip. How many adults are needed to accompany 32 students?

Answers

Answer: 4 adults are needed to accompany 32 students.

Step-by-step explanation:

Given: School requires 1 adult to accompany every 8 students on a field trip.

The number of adults are needed to accompany 32 students = [tex]\dfrac{32}{\text{Number of students accompanied by an adult}}[/tex]

[tex]=\dfrac{32}{8}\\\\=4[/tex]

Hence, 4 adults are needed to accompany 32 students.

Recipe B uses 9 ounces of flour to make 12 servings of dough. How many flour is in per serving?

Answers

Answer:

Step-by-step explanation:

9/12 ounce = 3/4 = .75 ounce flour

What is the measure of ∠J?

Answers

Answer:

6+6=12 12%3

ese seria el resultado

Answer:

<J = 45

Step-by-step explanation:

180 - 90 = 90

90/2 (because 2 angles are left) = 45

also <K will equal 45 as well

How many people ate at least 1 banana last week?
Explain your answer.

Answers

Answer:

11 people ate at least 1 banana.

I think it would be 11, because 11 people had at least one banana

PLZ ANSWER ASAP! LOGS

Answers

Answer:

[tex]\displaystyle \log_7\frac{1}{81}\approx -2.2[/tex]

Step-by-step explanation:

We want to find:

[tex]\displaystyle \log_7{\frac{1}{81}}[/tex]

First, using the quotient rule:

[tex]\displaystyle \log_b\frac{a}{c}=\log_b a-\log_b{c}[/tex]

We can rewrite our expression as:

[tex]=\log_7 1-\log_7 81[/tex]

The logarithm of 1 is always 0. Therefore:

[tex]=-\log_781[/tex]

We can rewrite this as:

[tex]=-\log_7 9\cdot 9[/tex]

Using the product rule:

[tex]\log_b ac=\log_ba+\log_bc[/tex]

This is equivalent to:

[tex]=-(\log_79+\log_79)[/tex]

Substitute:

[tex]=-(1.1+1.1)=-2.2[/tex]

PLS HELP!!!!!!!
30 MINS LEFT!!!!!!!
WILL MARK BRAINLIEST!!!!
JUST ANSWER THE CORRECT ANSWER!!!


Which property was used to simplify the expression?
3C+9+4C = 3C+4C+9
A. distributive property
B. commutative property
C. associative property
D. inverse property

Answers

Tis communitive property.

Okeh bye

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

B. commutative property

o.o

Find the 12th term given the arithmetic sequence: an = -5n +32

Answers

Step-by-step explanation:

step 1. a12 = -5(12) + 32

step 2. a12 = -60 + 32

step 3. a12 = -28.

I don't know how to answer this please help

Answers

Answer:

1130.4 if rounded its 1330.5

i think thats the answer :3

Step-by-step explanation:

The two graphs show amounts of bacteria over time for two different strains of bacteria.
The culture of bacteria A it starts with 250 bacteria and doubles every hour.
The culture of bacteria B starts with 100 bacteria in triples in size every hour.
Use the drop down menus to complete the statements below about bacteria A.

The y-intercept of the graph for bacteria A will be at
a.0
b. 100
c. 250

Which is
a. Higher than
b. Lower than
c. The same as
the graph of bacteria b.


The graph of bacteria A will grow at
a. A slower
b. A faster
c. The same

The graph of bacteria is
a. F, the red graph
b. G, the blue graph
c. Neither graph

Answers

Answer:

c., a., a., and a.

Step-by-step explanation:

The y-intercept of the graph for Bacteria A will be at  

250

, which is  

higher than

the graph of Bacteria B.

The graph of Bacteria A will grow at  

a slower

rate compared with the graph of Bacteria B.

The graph of Bacteria A is  

f, the red graph

.

What is the volume of a cylinder, in cubic centimeters, with a height of 2 centimeters
and a base diameter of 20 centimeters? Round to the nearest tenths place

Answers

Answer:

        V ≈ 628.3 cm³

Step-by-step explanation:

Volume of cylinder:  V = π×r² × h

diameter = 20 cm  ⇒  r = 10 cm

h = 2 cm

Volume:

V = π×(10)²×2 = 200π cm³ = 628.318.... cm³ ≈ 628.3 cm³

PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASE

Answers

Answer:

C

Step-by-step explanation:

in y=mx+b, b= the y intercept

-2+8=6

Answer:

It's C.

Step-by-step explanation:

When you put y=x-2 into a graphing calculator, the y-intercept is -2. When I counted vertically 8 times, the y-intercept changed to 6.

A cylinder has a height of 14 centimeters and a radius of 17 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer

Volume = [tex] \sf{\pi r^2 h} [/tex]

[tex] = \sf{3.14 \times {17}^{2} \times 14 } = \sf{12704.45~cm^3} [/tex]

Duke is buying a new cellphone case that is on sale for 20% off. The sale price is
$16 before tax. What was the original price of the cellphone case?

Answers

Answer:

$20

Step-by-step explanation:

20 x .2 = 4

20 - 4 = 16

Arun's family took a road trip to Niagara Falls. Arun fell asleep 69% of the way through the trip. If Arun fell asleep after they had traveled 690 miles, what was the total length of the trip?

Answers

Answer:

69% × 690 =

(69 ÷ 100) × 690 =

(69 × 690) ÷ 100 =

47,610 ÷ 100 =

476.1

Step-by-step explanation:

help with 4 please thank you

Answers

Answer:

=3x^2+4

Step-by-step explanation:

Subtract 8 from 12.

3x^2+4

Can someone solve this?
25^2x-3=125^x+1

Answers

Answer:

im not so sure but here what i got

Step-by-step explanation:

(252)(x)−3=125x+1

125x=625x−4

25^2 * (X-3) = 125^X + 1
125 * (X-3) = 125^X + 1

Rewrite the radical expression as a rational exponent.

Please help!!!

Answers

Answer:

C

Step-by-step explanation:

You can think of the square root as [tex]\frac{1}{2}[/tex] which would multiply throughout producing the answer.

please help me plz im begging u

Answers

Answer:

B

Step-by-step explanation:

I urgently need help!!!!

Answers

Answer:

yes

Step-by-step explanation: The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

Please help!! I'm in a hurry!

Answers

Step-by-step explanation:

sorry bud you ran out of time reading this

Find the slope and initial value of the graph below. Then write the equation of the line.

1. What is the initial value (y-intercept)?

2. What is the slope?

3. Write the equation of the line.

Answers

Y-intercept is (0,2) bc that’s where the line hits the y-axis.(the up and down line)
The slope is 1/2 because you go up one over two coordinate to get to the next dot.
The equation is y=Mx+b
M is the slope
X is the amount of times you use the slope
B is the initial value
Y=1/2x+2

Find the x- and y-intercepts of
5x - 3y = 12
.

Answers

x = (12/5,0)
y = (0,-4)

substitute 0 in for y & solve for x , to find the y-intercept substitute 0 in for x and then solve . ( I hope that makes sense)

please answer quickly First to answer quickly will be marked the brainiest and get 50 points. the question is in the image below

Answers

Whole number is 3
Integer but not whole is 1/2
Rational Number is 49/7
Irrational Number is 89/10

Tell weather each pair is parallel, perpendicular, or neither: 3х + 2y = 5
Зу + 2x = -3

Answers

none of them are parallel


Which inequality is represented by this graph?

A. 0>x
B.x>0
C. 0>_x
D.x>_0

Answers

Answer:

B. X > 0

Step-by-step explanation:

The dot it at 0, but is not filled in, so that means that it is not equal to.

The arrow is pointing to terms greater than 0 which can be described as (X). Since X is greater than 0, and not equal to 0, we get B as our answer.

I Need help ASAP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I'm sorry I know nothing about this but I hope this helps

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