What are the first three terms of a geometric sequence in which as = 25 and the common ratio is 5?
1 1
1
25'5
25,125,625
1 1 1
25'125 '625
O 125, 25, 5
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Answers

Answer 1

Answer:

The first three terms are: 25, 125 and 625

Step-by-step explanation:

Given

[tex]a =25; r = 5[/tex]

Required

The first three terms

The nth term of a geometry progression is:

[tex]T_n =ar^{n-1[/tex]

So, we have:

First term: [tex]n = 1[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_1 =25 * 5^{1-1[/tex]

[tex]T_1 =25 * 5^0[/tex]

[tex]T_1 =25 * 1[/tex]

[tex]T_1 =25[/tex]

Second term: [tex]n = 2[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_2 =25 * 5^{2-1[/tex]

[tex]T_2 =25 * 5^{1[/tex]

[tex]T_2 =25 * 5[/tex]

[tex]T_2 =125[/tex]

Third term: [tex]n = 3[/tex]

[tex]T_n =ar^{n-1[/tex]

[tex]T_3 =25 * 5^{3-1[/tex]

[tex]T_3 =25 * 5^{2[/tex]

[tex]T_3 =25 * 25[/tex]

[tex]T_3 =625[/tex]

Answer 2

Answer: 25,125,625

Step-by-step explanation:

edg 2


Related Questions

Ms. Thomas has a class of 16 students. She can spend 24 on each student to buy math supplies for the year. She first buys all of her students calculators, which costs a total of 79.04 . After buying the calculators, how much does she have left to spend on each student?

Answers

Answer: 19.06

Step-by-step explanation:

17/3 divided by 2/3 help please!:))

Answers

Answer:

0.94444444444

Which one is greater?
1.74 × 0.84
OR
1.79 × 0.69
- NO LINKS DOCS OR FILES ETC

Answers

Answer:

1.75 * 0.84

Step-by-step explanation:

1.74 * 0.84 = 1.4616

1.79 * 0.69 = 1.2351

Answer:

1.74 x 0.84 is greater

Step-by-step explanation:

1.74 x 0.84 = 1.4616

while

1.79 x 0.69 = 1.23509

3
) A basket filled with tomatoes had a mass of 2330 g. After 3/5 the tomatoes were

taken away, the mass of the basket with the remaining tomatoes was 1550 g
What was the mass of the empty basket?

Answers

Answer: 1030 g

Step-by-step explanation:

Given

Mass of basket and the tomatoes is 2330 g

After [tex]\frac{3}{5}[/tex] of tomatoes were taken away, the mass with the basket is 1550 g

Suppose x is the mass of tomatoes and y is the mass of the basket

[tex]\therefore x+y=2330\quad \ldots(i)\\\\y+(1-\dfrac{3}{5})x=1550\\\\y+\dfrac{2}{5}x=1550\quad \ldots(ii)[/tex]

Solve the above equations. We get

[tex]x=1300,y=1030[/tex]

So, the mass of the empty basket is 1030 g.

Find the equation below. NO BOTS!!!

Answers

Here’s what i got

have a nice day!

Put the following equation in slope-intercept form: y−5=7/4(x-1)

Answers

Answer:

y=7/4x+2

Step-by-step explanation:

The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y − 5 = 7/4(x − 1)

Convert the equation into a slope-intercept form. Then we have

y − 5 = 7/4(x − 1)

y − 5 = (7/4)x − (7/4)

y = (7/4)x − (7/4) + 5

y = (7/4)x + 13/4

The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

A biker traveled 20 miles in 4 hours. A unit rate to describe this would be 5 miles per hour. What is another unit rate in this situation?
1. 1/5 mile per hour
2. 1/5 hour per mile
3. 1 mile per hour
4. 5 hours per mile

Answers

Answer:

20 miles) / (4 hours) = (20/4) (miles/hours)  =  5 miles per hour

(4 hours) / (20 miles) = (4/20) (hours/miles)  =  0.2 hours per mile =

                                                                            12 minutes per mile

Use the following dot plot to answer the questions.

What is the mean of the set?

If an additional dot is added to the set in the 3 column, how will the mean change? What will the new mean be?

Answers

Answer:

3.4

Decrease ; 3.375

Step-by-step explanation:

Mean = Σfx / Σf

Σfx = (1 * 2) + (2 * 2) + (3 * 3) + (4 * 9) = 51

Σf = 1 + 2 + 3 + 9 = 15

Mean = 51 / 15 = 3.4

If 1 more dot is added to the 3rd column:

Σfx = (1 * 2) + (2 * 2) + (3 * 4) + (4 * 9) = 54

Σf = 1 + 2 + 4 + 9 = 16

Mean = 54 / 16 = 3.375

Which values are solutions of the inequality 5 < y -8

8 , 9. , 13. , 15. , 20

Answers

Answer:

5 is greater than y-8 since 5 is positive it + in the begging +5 while - 8 is less than 0 because it has - in the begging

Answer: 15 and 20

Step-by-step explanation:

just did this

SOLVE

ROUND TO THE NEAREST CENT IF NECESSARY

A UNIÓN CONTRACT CALLS FOR 6.9% SALARY INCREASE
FOR ALL EMPLOYEES
DETERMINE THE INCREASE
FOR A WORKER WHO IS CURRENTLY MAKING $32,120


WILL GIVE
BRAINLIST
X
X
X
X

Answers

(32,120 x 6.9)/100=$34,336.28

what is the approximate volume for a ice cream cone with a radius of 3 and a diameter of 14

Answers

Answer:

131.95

Step-by-step explanation:

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

[tex]v = \frac{1}{3} \times 3.142 \times {3}^{2} \times 14 \\ v = \frac{1}{3} \times 3.142 \times 9 \times 14 \\ v = 131.964 {cm}^{3} [/tex]

A=(2,3) B=(4,5)
Find vector equation of staraight line parallel to vector B and passing through point A hence obtain cartesian equation

Answers

Answer:

[tex]r= a + \lambda \: b \\ vector \: equation : \\ \binom{x}{y} = \binom{2}{3} + \lambda \: \binom{2}{2} \\ cartesian \: equation : \\ \frac{x - 2}{2} = \frac{y - 3}{2} = \lambda[/tex]

what is the approximate volume of the cylinder use 3.14 for π

Answers

Answer:

904.32 cm²

Step-by-step explanation:

V = πr²h

V = 3.14 × (6 cm)² × 8 cm

V = 904.32 cm²

The radius of a circle is 6.1 millimeters. What is the circle's area?

Answers

[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]

Area of rectangle and trangle
More comeing soo!!

Answers

Answer: Triangle 1 = 30 m2

Triangle 2 = 15 cm2

Step-by-step explanation:

Triangle area formula = 1/2 x base x height

Area1 = 1/2 x 10 x 6

= 30

Area2 = 1/2 x 6 x 5

= 15

Answer:

The area of the triangle is 15 cm and rectangle is 30 or 60

Step-by-step explanation:

Carl is balancing his checking account. After comparing the bank statement to his register, he notices an outstanding debit of $58.00.

Which shows the correct amount in Carl’s checking account?

Answers

Tamam öğretmenim teşekkür ederiz çok güzel bir şey var ya bir insan bir arar bir şey


Given the diameter of 12 in, find the sector area of each sector

A. 5.33 in
B. 1.33 in
C. 9.42 in
D. 4.19 in

Answers

so the total area is 113.04 and divide that in the total sections is 113.04 by 12 = C 9.42 in

Find the surface area of the cone. Round answer to the nearest tenth.*

Answers

Answer:

628.319 rounded= 628.3

Step-by-step

333zzzzzzzzzzzgggggggggggggh

Answers

Answer:

pointssss

Step-by-step explanation:

A storage tank contains a liquid radioactive element with a half-life of 96 years. It will be relatively safe for the contents to leak from the tank when 0.02% of the
radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
The tank must remain intact for lears.
(Round the base of the exponential function to four decimal places. Then round the final answer to the nearest year as needed.)

Answers

Answer:

t = 1180 years

Step-by-step explanation:

We will solve this using the radioactive decay formula which is;

A = A_o × 2^(-t/h)

Where;

A = Amount of liquid remaining after time (t)

A_o = initial amount of liquid at initial time

t = time of decay

h = half-life of the liquid

We have;

A_o = 1(we assume it is 100% which is 1)

A = 0.02% = 0.0002

h = 96 years

Thus;

0.0002 = 1 × 2^(-t/96)

0.0002 = 2^(-t/96)

(-t/96)log 2 = log 0.0002

(-t/96) = (log 0.0002)/log 2

(-t/96) = -12.2877

t = 96 × 12.2877 (negative has canceled out)

t = 1179.6192

To the nearest year gives;

t = 1180 years

Josie makes peanut butter sandwiches. She uses 1/8 cup of peanut butter on each sandwich. How many cups of peanut butter dose she need for 9 sandwiches?

Answers

Answer:

9/8

Step-by-step explanation:

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

The Gordon family has a disposable annual income of $44,350. They spend 19% of their disposable income for food. How much do they spend weekly for food (Note: There
are 52 weeks in a year)?
$149.43
$158.77
$162.05
$165.23
None of these choices are correct.

Answers

Answer:

$162.05

Step-by-step explanation:

Calculation to determine How much do they spend weekly for food

Using this formula

Amount spent weekly=(Annual Disposable income*Disposable income percentage)/Numbers of weeks in a year

Let plug in the formula

Amount spent weekly=($44,350*19%)/52 weeks

Amount spent weekly=$8,426.5/52 weeks

Amount spent weekly=$162.048

Amount spent weekly=$162.05 (Approximately)

Therefore the amount they spent weekly for food is $162.05

The graph of - 8x+2y = 8 passes through two points, P(p, 2) and
Q (-4, q). What is the value of pq?

Answers

Answer:

6

Step-by-step explanation:

All the steps are in the photo I attached

Find the absolute value
|-7|

Answers

Answer:

7

Step-by-step explanation:

hello :

|-7| = - (-7) = 7

Answer:

the absolute value of l-7l is 7

hope it helps.

How many degrees Fahrenheit is -20°C?

Answers

answer:

-4°f

step-by-step explanation:

(-20°c × 9/5) + 32

= -4°f

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

What is the volume of an 8-inch by 4-inch by 44-inch rectangular box?​

Answers

Answer:

1408

Step-by-step explanation:

Answer:

1,408 cm³.

Step-by-step explanation:

To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.

[tex]4*8*44=1,408 in^3.[/tex]

Therefore, the volume of the rectangular box is 1,408 cm³.

PLEASE HELPPPPPP :(((((​

Answers

36/10 = 2 + 3/5, 27/5 = 5 + 2/5, 32/6 = 5 + 1/3, 30/9 = 3 + 1/3, 30/7 = 4 + 2/8, 54/8 = 6 + 3/4

Find the perimeter X(-2,1) Y(4,3) Z(5,-1)

Answers

Answer:

17.728

Step-by-step explanation:

NEED 22-24 AND 31-33 FAST

Answers

Answer:

22-24= -2

31-33= -2

Step-by-step explanation:

Answer this simple quick question!! Pls :)

Answers

Answer:

Zero, Never

Step-by-step explanation:

2 doesn’t equal 3 so it will never be true.

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