An explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3.

Answers

Answer 1

Answer:

an = 10(3^n-1)

Step-by-step explanation:

The explicit formula of a geometric sequence is written as:

an = ar^n - 1

Where

an = nth term

a = First term

r = common ratio

n = number of terms

Hence, an explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3 is written as:

an = 10 × 3^n-1

an = 10(3^n-1)


Related Questions

Question 7 of 10
These box plots show daily low temperatures for a sample of days in two
different towns.
Degrees (F)
Which statement is the most appropriate comparison of the spreads?

Answers

Answer:

A

Step-by-step explanation:

In a box plot, interquartile range (IQR) can be used to describe the spread of any given data.

IQR = Q3 - Q1

✔️IQR for Town A:

Q3 = 40

Q1 = 20

IQR = 40 - 20 = 20°

✔️IQR for Town B:

Q3 = 30

Q1 = 20

IQR = 30 - 20 = 10°

We can conclude that the IQR for town A, 20°, is greater than the IQR for town B, 10°.

I need the answers plss

Answers

Answer:

a) adjacent angles, complementary angles

b) vertical angles, congruent angles

c) supplementary angles, adjacent angles

d) supplementary angles, adjacent angles

Step-by-step explanation:

Adjacent angles are angles that share a common vertex, ( usually angles that are right next to each other )

Complementary angles are angles that form a 90 degree angle  (  right angle )

Supplementary angles are angles that form a straight line

Vertical angles are angles that are vertically aligned with each other ( vertical angles are congruent )

!!HELP PLEASE NO LINKS!!Select the graph of y = 2 cos (4x) +1

Answers

I think the answer is A

To solve this problem, we simply need to plot the cosine graph.

Graph of Cosine

The graph of cosine can easily be plotted and we can compare both together.

Kindly check the attached image and we can easily see the graph of

[tex]y = 2cos(4x) + 1[/tex]

is option A.

Comparing the asymptotes together, it reveals more information on that.

Learn more on graph of cosine here;

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In a sale the original prices are reduced by 20%.
Calculate the original price of a truck that has a sale price of $14400.​

Answers

Answer:

17260

Step-by-step explanation:

multiply 14400 by 20%

After that add 14400 and 2880together

and you got the answer

Answer:

The original price would be $17,280

Step-by-step explanation:

14,400× 0.2= 2,880

14,400+ 2,880= 17,280

WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!

Answers

Answer:

C

Step-by-step explanation:

Using Pythagoras' identity in right triangle BPO

with PB = 4 ( half of AB ) and OB = 5 ( radius of circle )

OP² + 4² = 5²

OP² + 16 = 25 ( subtract 16 from both sides )

OP² = 9 ( take the square root of both sides )

OP = [tex]\sqrt{9}[/tex] = 3

1000 + 874 + 53528 - 1026 =

Answers

Answer:

54376

is the answer .......

If you place a 32-foot ladder against the top of a building and the bottom of the ladder is 24 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answers

Answer: 21.2

Step-by-step explanation:

Answer: 22.2

Step-by-step explanation: the other person miss typed

16. The list below shows the different choices of pizza at
the local pizza shop:
.
.
pepperoni: 11
supreme: 7
cheese: 6
Hawaiian: 3
Based on these results, if 189 pizzas were sold, then how
many could be expected to be cheese?

Answers

Answer:

162

Step-by-step explanation:

189-11=178

178-7=171

171-6=165

165-3=162

Why to solve this question ​

Answers

Answer:

35°, 70°, 75°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x + 2x + 75 = 180

3x + 75 = 180 ( subtract 75 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

2x = 2 × 35 = 70°

The angles in the Δ are 35°, 70°, 75°

The three angles of the triangle are 75°, 70° and 35°.

Step-by-step explanation:

We know that,

Sum of angles of a triangle = 180°

⇢ 75° + 2 x + x = 180°

⇢ 3x = 180° - 75°

⇢ 3x = 105°

⇢ x = [tex] \frac{105}{3} [/tex]

⇢ x = 35°

[tex]{\boxed{\mathcal{\red{Brainly\:Star.}}}}[/tex]

In the diagram below, what is the measure of angle 1?

Answers

Answer: 82 degrees

Step-by-step explanation:

15 degrees is the answer to this question

what is the slope of all of these ​

Answers

Answer: i caint see well but this is waht i got for the slope

a: 1/5

b: 3/3

c: 3/1

D: 3/7

e: i caint see it well

Step-by-step explanation: to find slope you coutn the rise and then thr run and you put the rise first and then the run at the bottom rise/run

what is the value of x

Answers

Answer:

8

Step-by-step explanation:

Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.

Hope that this helps!

Answer:

I. x=8

Step-by-step explanation:

lines form 180° angles so

140 +5x= 180 ; subtract 140 from both sides

5x= 180-140; divide both sides by 5

x= 40/5 = 8

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24
cards, which was 20% of the cards sold for Mother's Day. How many cards were sold
for Mother's Day?

Answers

Answer:

120

Step-by-step explanation:

20 * 5 = 100 so we multiply 24 by 5 and that equals 120

I NEED IMMEDIATE HELP!! THIS IS DUE IN TOMORROW MORNING

Answers

Answer:

Rotation by 90 degrees clockwise about the point (2,2)

Step-by-step explanation:

Hope this is useful to u

ILL GIVE BRAINLIEST. plsss help asap

Answers

Answer:

first one

Step-by-step explanation:

Answer:

It will be the first answer, Both balls will at the same rate

"The product of four and a
number is more than ten."

Answers

Answer:

x>5/2

Step-by-step explanation:

4x>10

x>10/4

x>5/2

What is an equation of the line that passes through the points (0, -3)(0,−3) and (-5, 3)(−5,3)?

Answers

Answer:

y = 6/5 x -3

Step-by-step explanation:

Standard equation of a line is expressed as;

y = mx+b

Slope m = y2-y1/x2-x1

Given the coordinates  (0, -3)and (-5, 3)

Slope m = 3-(-3)/-5-0

Slope m = 6/5

Since the line cuts the y axis at y = -3, hence b = -3

GEt the required equation;

Recall that y = mx+b

y = 6/5 x + (-3)

y = 6/5 x -3

This gives the required equation

Answer: −6/5x-3

Step-by-step explanation: DeltaMath

FBISD bought 12 new chairs for $28.99 each, and 8 tables for $45.50 each. What is the total price, including 8.25% sales tax.

A)$772.39
B)$711.88
C)$347.88
D)$60.51
Please hurryyyyy please

Answers

Answer:

d

Step-by-step explanation:

To the nearest mile, what is the total distance that he ran?
6 miles
8 miles
O 11 miles
25 miles

Answers

Answer:

where's the picture. to the nearest mile...

Step-by-step explanation:

;-;

What is the quotient?

Answers

The answer is 3 1/(t + 4)^2

P(A/B) = P(ANB)
P(B)
Freshmen
Sophomores
Juniors
Seniors
Boys
3
1
4
2
Girls
7
9
6
5
P(Freshman Boy)

Answers

The probability of a freshman being a boy is 3/37.

What is probability?

Probability is a branch of mathematics that deals with the study of randomness and uncertainty in events. It is the measure of the likelihood or chance that an event will occur. Probability is expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event will occur with certainty.

The total number of students is:

3 + 1 + 4 + 2 + 7 + 9 + 6 + 5 = 37

The number of freshman boys is 3. Therefore,

P(Freshman Boy) = number of freshman boys / total number of students

P(Freshman Boy) = 3/37

Hence, the probability of a freshman being a boy is 3/37.

To know more about probability visit :

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Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)



HELPPPPPPPP​

Answers

Answer:

$103

Step-by-step explanation:

Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)

From the above question:

1 square foot = $3.19

32.29 square feet = x

Cross Mulitiply

x = 32.29 × $3.19

x = $103.0051

Approximately to the nearest cent = $103

Therefore, it will cost $103 to purchase the flooring panels

-2x + 6 greater than or equal to -4

Answers

Answer:

C

Step-by-step explanation:

-2x+6 [tex]\geq[/tex]-4

     -6   -6

-2x [tex]\geq[/tex]-10

divide both sides by -2

-2/2=-1

-10/2=-5

-5*-1=5

x[tex]\geq[/tex]5

x is greater than 5 so the number should be larger than 5 or equal to 5.

NEED HELP ASAP 50 POINTS 20 MINS LEFT

Answers

Answer:

look at the picture I have sent

How would you find the area of this parallelogram? Describe your strategy.

Answers

Answer:

To find the area of a parallelogram, multiply the base by the height.

The formula is: A = B x H where B is the base, H is the height.

Step-by-step explanation:

Pls answer answer pls

Answers

Answer:

48 :)

Step-by-step explanation:

120 divided by 10 = 12

12 x 4 = 48

Answer:

yo momma

Step-by-step explanation:

ha

a. 96°
b. 132°
c. 137°
d. 89°

Answers

Answer:

c. 137°

Step-by-step explanation:

the perimeter of a rectangle parking lot is 322 m. if the length of the parking lot is 86 m, what is the width

Answers

Perimeter of rec. = 2 ( l + w )

Given: perimeter of rectangle = 322m, length = 86m

Required: width = ?

Solution: 322 = 2 ( 86 + w )
Divide 322 by 2 ie, 322/2 = 86 + w
Will be equal to 161 = 86 + w
Therefore Width= 161 - 86 = 75

find the area of the triangle

Answers

Area should be 80
0.5x20x8

which statement is true

Answers

C is the true statement :)
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