What is the 12th term of the geometric sequence if a1= 30 and r=4.

Answers

Answer 1

Answer:

         a₁₂ = 30·4¹¹ = 15·2²³

Step-by-step explanation:

[tex]a_n=a_1\cdot r^{n-1}\\\\a_{12}=30\cdot 4^{12-1}\\\\a_{12}=30\cdot 4^{11}=15\cdot2\cdot2^{22}=15\cdot2^{23}[/tex]


Related Questions

6. Find JL.
3r + 4
JL=
5.x - 16

Answers

Answer:

Step-by-step explanation:

3x+4 = 5x-16

-2x+20 = 0

-2x = -20

x = 10

3*10+4 = 5*10-10 = 34

34*2 = 68

JL = 68

There are 48 students in a class and 6 of them are girls. What percent are boys

Answers

Answer:

87.5%

Step-by-step explanation:

If there are 48 students in total and 6 girls, then the remaining students are  boys

The number of boys = 48 - 6 = 42

Now, calculate the %

42/48 x 100 = 7/8 x 100 = 87.5%

Hope this helps

If there are 48 students in a class and 6 of them are girls then the percentage of boys in the class is 87.5%,

Use the concept of percentage defined as:

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given that,

Number of students = 48

Number of girls = 6

Then number of boys = 48 - 6

The number of boys = 42

Therefore,

The percentage of boys in the class is,

[tex]\dfrac{42}{48}\times 100= 87.5 \text{ percent}[/tex]

Hence,

There are 87.5 percent of boys in the class.

To learn more about the percentage visit:

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HELP I NEED HELP ASAP

Answers

Answer:

The answer is Door you can choose C because is likely to be the answer

I what is the area of this rectangle

Answers

11 * 17 = 187

187 is your answer

Answer:

187in Squared

Step-by-step explanation:

After 2014 the sales of new cell phones without cameras began declining. The number of people y (in thousands) who bought a cell phone without a camera can be estimated by the equation y=-30x+240, where x is the number of years after 2014

Answers

Answer:

60,000 people

Step-by-step explanation:

Given the number of people y (in thousands) who bought a cell phone without a camera can be estimated by the equation y=-30x+240,

x is the number of years after 2014

We can find the number of people that bought the cell phone in 2020. In year 2020, that will be after 6years

Substitute x = 6 into the expression

y=-30x+240

y=-30(6)+240,=

y = -180 + 240

y = 60

Since y is in thousands, hence the the number of people that have bought the cell phone by 2020 is 60,000 people

solve for x: 2+x+x+x+4=9

Answers

Answer:

x=1

Step-by-step explanation:

2+1+1+1+4=9

2+x+x+x+4=9

=> 3x + 6 = 9

=> 3x = 9-6

=> 3x = 3

=> x = 3/3

=> x = 1

which set of ordered pairs is a function?

Answers

Answer:

I believe the third option is correct!

{(-5,1), (-3,2), (-1,3), (1,4), (3,5)}

Hope this helps!

Find the GCF of the group of monomials

9a^2b^3 and 15ab^2 and 21a^4b^3

Answers

Answer:

3ab^2

Step-by-step explanation:

The GCF of 9, 15, and 21 is 3.

The GCF of a^2b^3, ab^2, and a^4b^3 is ab^2.

The answer is the product of the two terms which is 3ab^2.

The radius of Cylinder A measures ____ feet.

14, 7, 10

The radius of Cylinder B measures ____ feet.

1.4, 2.8, 5.7

Answers

Answer:

The radius of Cylinder A measures 7 feet.

The radius of Cylinder B measures 2.8 feet.

Step-by-step explanation:

The radius of Cylinder A measures 7 feet.

because the radious is half of the diameter and 14 is the diameter

The radius of Cylinder B measures 2.8 feet.

Answer:

Cylinder A's radius is 7 because the radius is diameter divided by 2.

Cylinder B's radius is 2.8 because the height of Cylinder A is 5 times bigger than Cylinder B's height.

Step-by-step explanation:

Check out this rectangular prism

Find the surface area of the rectangular prism (above) using its net (below).

Answers

Answer:

52

Step-by-step explanation:

Used hint.

Answer:

52

Step-by-step explanation:

if you are on khan or on something else it is 52

Given m||n, find the value of x.

Answers

Answer: T be honest i really don't know.

Step-by-step explanation:

Answer:

x=29

Step-by-step explanation:

Based off of the Consecutive Interior Therom, Angle 1= Angle 2. With this given, you get:

6x-1=5x+28

-5x. -5x

x-1=28

ANSWER:

x=29

help me out thank you so much whoever does!!

Answers

Answer:

oh wait i got it! those are oppisite from eachother so theyre angle is the same. the answer would be 59°

Answer:

b=59º

Step-by-step explanation:

Vertical angle theorem states that if angles are vertical, they are congruent.

Can some show the steps and the answer please I really need help tell me how you get it and the answer

Answers

Answer:

10

Step-by-step explanation:

a^2+b^2=c^2

8^2+6^2=c^2

64+36=c^2

100=C^2

the square root of 100=c (the length of that side of the ladder).

the square root of 100 is 10

Help me, please. Don't just claim my points, it's irritating

Answers

Answer:

8.239x10^-5

so the answer is A

Step-by-step explanation:

trust me

ps. use photomath on phone

Write both number with the same power of 10, factor out that power of 10 (since it's common to both terms), then simplify to standard scientific notation (that is, a.bcd... × 10⁻ⁿ):

(8.28 × 10⁻⁵) - (4.1 × 10⁻⁷) = (828 × 10⁻⁷) - (4.1 × 10⁻⁷)

… = (828 - 4.1) × 10⁻⁷

… = 823.9 × 10⁻⁷

… = 8.239 × 10⁻⁵

Find x, the missing side length in the right triangle 18 8

Answers

Answer:

19.7

Step-by-step explanation:

a^2+b^2=c^2

so 18^2+8^2=x^2

324+64=388

x is about 19.7

A^2 + B^2 = C^2
18^2 + 8^2 = 388
C = 20

Select the expression that has a value of 28. (4 points)

Group of answer choices

8 + (4 x 6) ÷ 2 + 7

8 + 4 x 6 ÷ (2 + 7)

(8 + 4 x 6) ÷ 2 + 7

(8 x 4) + 6 ÷ 2 − 7

Answers

Answer:

(8 + 4 × 6) ÷ 2 + 7

Step-by-step explanation:

8 + (4 × 6) ÷ 2 + 7 = 27

8 + 24 ÷ 2 + 7

8 + 12 + 7

27

8 + 4 × 6 ÷ (2 + 7) = [tex]10\frac{2}{3}[/tex]

8 + 4 × 6 ÷ 9

8 + 24 ÷ 9

[tex]8 + 2\frac{2}{3}[/tex]

[tex]10\frac{2}{3}[/tex]

(8 + 4 × 6) ÷ 2 + 7 = 23

(8 + 24) ÷ 2 + 7

32 ÷ 2 + 7

16 + 7

23

(8 × 4) + 6 ÷ 2 − 7 = 28

32 + 6 ÷ 2 - 7

32 + 3 - 7

35 - 7

28

Answer:

D

Step-by-step explanation

D

D

Intro to Rotations

If P = (4,7),

Find: r190°(P)


([?], [])

Exam-please don’t answer if you don’t know thank you !

Answers

Answer:

p(9,7)⇒(-7,4)

Step-by-step explanation:

p(4,7)

(x,y) ⇒(-y,x)

p(4,7)⇒p¹(-7,4)

Answer:(-7,4)

hope it helps....

y = x - 6
5x - 2y = -30

Answers

Answer:

(-14,-20)

Step-by-step explanation:

hope it helps!

Answer:

x=-14, y=-20

Step-by-step explanation:

Orginally each face of the pyramid shown to the. Right was a triangke withg the dimensions 109m and 190m . How far was a corner of the base from the pyramis top

Answers

Answer:

219.05 m²

Step-by-step explanation:

Dimension of right angle triangle : 109 m and 190 m

The right angle triangle has a height of 190 m and base length of 109 m

A corner of the base from the pyramid's top is equivalent to the hypotenus of the right angle triangle :

Let :

hypotenus = c ; base = b ; height = a

Hypotenus² = opposite² + adjacent²

c² = a² + b²

c² = 190² + 109²

c² = 36100 + 11881

c² = 47981

c = sqrt(47981)

c = 219.04565

A corner of the base from the pyramid's top is 219.05 m²

I need an answer! NO LINKS PLS! il give brainlist

Answers

Answer:

Step-by-step explanation:

what is the difference for 1/2 and 3/8

Answers

difference like subtraction?
bc 1/2-3/8=1/8

Answer:

1/8

Step-by-step explanation:

1/2-3/8

4/8-3/8=1/8

PLEASEEE HELP WORTH 30 AND WILL GIVE CROWN

Answers

C.....................

Answer:

1 and 5

Step-by-step explanation:

it is shown in the picture

What is the product of 5/6 * 18/30? Be sure to simplify your answer.
The answer is 113/30.
break down how you get the answer 113/30

please dont use files

Answers

Answer:

what

Step-by-step explanation:

Simplify completely.
(2 + 3i) + (-4+i)

Answers

Answer:

-2+4i

Step-by-step explanation:

Simplify by combining the real and imaginary parts of each expression.

The simplified form of the complex expression is -2 + 4i.

What are Complex Numbers?

Complex numbers are numbers which are of the form [tex]a+ib[/tex],

where a and b are real numbers and i is the imaginary number called iota whose value is [tex]i^{2}[/tex] = -1.

Given expression is (2 + 3i) + (-4 + i).

Addition of complex numbers is defined as,

(a + ib) + (a' + ib') = (a + a') + i(b + b')

Using the definition of addition of complex numbers, given expression can be added as,

(2 + 3i) + (-4 + i) = (2 + -4) + i(3 + 1) = -2 + 4i

Hence the resulting value is -2 + 4i.

To learn more about Complex Numbers, click on the link given below :

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Can anyone help me with this I’m not too god at math an this is worth 50 points

Answers

Answer:

The answer is irrational

On a coordinate plane, a circle has a center at (1, negative 2) and a radius of 4 units. Which equation represents a circle with the same radius as the circle shown but with a center at (-1, 1)? (x – 1)2 + (y + 1)2 = 16 (x – 1)2 + (y + 1)2 = 4 (x + 1)2 + (y –1)2 = 4 (x + 1)2 + (y – 1)2 = 16

Answers

Answer:

(x + 1)2 + (y – 1)2 = 16

Step-by-step explanation:

Just took the test.

Answer:

It is D.

Step-by-step explanation:

SOMEONE PLS HELP ME FIND THE AREA OF THIS COMPOSITE FIGURE. ILL GIVE BRAINLIEST!

Answers

For this composite question you will need to divide the shape into two different shapes. The large rectangle is going to be 60 in square because of base times height and then you would need to find the square which would be 4 times 4 cause of base times height but because it’s a triable you divide by 3 so 16/2 would be 8 than you would add both shapes and get 68 in squared. Hope that helps!

The door has marbles in it 3/10 of the marbles are red 5/10 of the marbles are blue two tenths of the marbles are green which of these fractions is equivalent to 4/8

Answers

Answer:

5/10

Step-by-step explanation:

4/8 =1/2

5/10=1/2 so that it

If a basketball player makes 9 baskets in 12 tries, what is her ratio of baskets to tries, in lowest terms?

Answers

Answer:

3:4

Step-by-step explanation:

9:12

divide both by 3 to get

3:4

Answer:

3 : 4

Step-by-step explanation:

9 : 12

divide each side by three

3 : 4

Find the surface area of the rectangular prism.
2 cm
5 cm
10 cm

Answers

Answer:

2(2x5) + 4(5x10)

2(10) + 4(50)

20 + 200

220 cm. is your answer

Answer:

Step-by-step explanation:

2×5×10= 900

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