what is the value of the fourth term in a geometric sequence for which a1=30 and r=1/2

Answers

Answer 1

Answer:

a(4) = 15/4

Step-by-step explanation:

The general formula for a geometric series with common ratio r and first term a(1) is

a(n) = a(1)*r^(n - 1)

and so, if a(1) = 30 and r = 1/2, we have

a(n) = 30*(1/2)^(n - 1)

and the fourth term is then:

a(4) = 30*(1/2)^(4 - 1) = 30/8 = 15/4


Related Questions

What is the slope of the line that passes through the points (-10, 9) and (9, 9)

Answers

Step-by-step explanation:

the answer is on foto

y = 9

400 passengers go on a coach trip.

Each coach takes 50 passengers.

Each passenger pays £23

Below shows the costs for the coach company.

pay for driver/cost for each coach=£95

Fuel/ cost for each coach = 70p per mile

Each coach travels 200 miles.

work out the total profit the company makes from this trip

Answers

Go be to if Derek ID do oh next 37

Calculate the slope of the line that contains the points (-2, -4) and (2, 4).

Answers

Answer:

Slope is 2

Step-by-step explanation:

(-2, -4) and (2, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4+4)/(2+2)

m=8/4

m = 2

What is the equation of the yellow line

Answers

Answer:

y = -[tex]\frac{5}{3}[/tex] x -2

Step-by-step explanation:

The line is going down to the right so it has the negative slope, with a y- intercept of (0, -2) and a slope of m = rise/run = -5/3

If your running a race and you passed the person in second place what place would you be in now?

Answers

Answer:

the answer is first place

Answer:

Second place

Step-by-step explanation:

Because that person was in SECOND PLACE and you were behind them, you two switched because you got ahead of them,  but you are NOT in FIRST place, because there is still one person in front of you. Good luck!

A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 7800 kilograms have already been loaded into the container.

Answers

The question is incomplete. The complete question is :

A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 7800 kilograms have already been loaded into the container. Which inequality can be used to determine cc, the greatest number of 80-kilogram crates that can be loaded onto the shipping container?

Solution :

Given data :

Weight of the crate = 40 kg

Greatest weight that the container can load = 23000 kg

Weight of the other shipments on the container = 7800 kg

So the greatest number of 40 kg crates = c

Therefore, the weight of the other shipment + weight of crate x number of crates ≤ greatest weight of the container

7800 + (40 x c) ≤ 23000

7800 + 40c ≤ 23000

40c ≤ 23000 - 7800

40c ≤ 15200

c ≤ 380

Hence, the maximum number of 40 kg crate is 380.

PLEASE I ACTUALLY NEED HELP ;(​

Answers

Answer:

[tex]\sqrt{18x^4y}[/tex]

Step-by-step explanation:

3x²[tex]\sqrt{2y}[/tex] = [tex]\sqrt{(3x^2)^22y}[/tex] =[tex]\sqrt{18x^4y}[/tex]

Answer:

√{18x⁴y}=√?

?=18x⁴y is your answer

I need help on this homework

Answers

Answer:

Tn=a(n-1)d

T50=261(50-1)-5

T50=12784

Solve for x. -4x + 6(6– 2x) = -7x – 36 Select one:
a. -7
b.15
c.8
d.3​

Answers

I have to atletas write 20 words by i know for a fact it’s b

Answer:

8

-4x+6(6-2x) = -7x - 36

-4x+36-12x = -7x-36

-16x+36 = -7x-36

-16x +7x = -36-36

-9x = -72

x = 72/9

x = 8

57.4g of sugar is needed to make 7 cakes. How much sugar is needed for 9 cakes?

Answers

Answer:

73.8 g

Step-by-step explanation:

57.4/7 = 8.2 per cake

8.2 x 9 = 73.8 g

Answer:

I'm pretty sure the answer would be 73.8g

Step-by-step explanation:

2) A circle has an area of 121 ñ cm. Find its circumference. (Round your answer to the
nearest tenth.).

Answers

Answer:

If the area is 121 cm the answer is 38.99 if its 12 cm then the answer is 12.28

Step-by-step explanation:

Im not sure if correct but i tried

what function is equivalent to f(x)=-4(x+7) -6

Answers

Answer:

Step-by-step explanation:

what is the slope of y=-4x-8

Answers

Answer:

-4

Step-by-step explanation:

y = mx + b

Answer:

-4

Step-by-step explanation:

y=mx+b

m is slope

b is y-intercept

So you line y=mx+b and y=-4x-8

-4 is replacing m so -4 is the slope

Hope this helps!

< Exit
Topic 8 Test
Due 03/26/21
Fencing How much fencing is required to enclose a circular garden whose radius is 14 m? Use
22
for at
7.
About m of fencing is required to enclose the circular garden.
(Type an integer, proper fraction, or mixed number.)
Enter your answer in the answer box.

Answers

Answer:

88m of fencing

Step-by-step explanation:

the cicumference of the garden is what we are looking out for,

and with the raduis .ie.14m

C=2πr

C=2•22/7•14

C=88m

anyone help giving 5 stars

Answers

Answer:

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This is the graph of f(x). What is the value of f(3)?

Answers

Answer:

Option C. 8 will be your answer

Step-by-step explanation:

hope it helps you...

have a great day!!!

The Pythagorean Theorem states that, in a right triangle, the square of the length of the hypotenuse equals the
sum of the squares of the lengths of the legs. Which of these models support the validation of this theorem?

Answers

Answer is h. I am still doing Pythagorean Theorem in geometry it sucks tho. But this was easy hope this helps

What is the value of x

Answers

Answer:

x = 9

y = 5

Step-by-step explanation:

<N and < M are opposite equal sides. So they are equal as well. In addition, the base is equal to the other 2 sides. That means you are dealing with an equilateral triangle. All the angles are equal to 60 degrees.

7x - 3 = 60 degrees     Add 3 to both sides

      3      3

7x = 63                         Divide by 7

x = 63/7

x = 9

Just for the sake of completeness, we'll find y

11y + 5 = 60                 Subtract 5 from both sides

     -5      -5

11y = 55                       Divide by 11

y = 55 /11

y = 5

2. Find the value of x to the nearest degree.
A) 68
B) 22
C) 24
D) 66

Answers

Answer:

it would be 66 I hope this helps.

Can someone please help me out?

Answers

6.) D (x+7)(x+1)
7.) B (x-9)(x+8)
8.) D
9.) A
10.)A

Find the slope of the line graphed

Answers

Answer:

I believe it is 2

rise and run concept

The set of data below represent the number of runs scored by a youth baseball team over the course of a season.
Team: 4, 8, 5, 12, 3, 9, 5, 2 Which set of statements about the data is true?

1)Mean < Standard Deviation
2)First Quartile < Standard Deviation
3)Median > Mean
4)Mean > Standard Deviation

Answers

The correct answer will be option (3) Median > Mean

ConceptFirst we will find the mean, median and standard deviation of given dataAfter finding mean, median and standard deviation we will compare them to find the correct answer

How to solve this problem?

The steps are as follow:

The runs scored by youth baseball team over the course of a season is : 4, 8, 5, 12, 3, 9, 5, 2Mean is given as follow:

[tex]x \: = \frac{4 + 8 + 5 + 12 + 3 + 9 + 5 + 2}{8} \\ x = 6[/tex]

So the mean will be 6Arranging the given observation 2,3,4,5,5,8,9,12To find the median the total number observation is 8 which is even so formula to find median will be:

[tex][tex]m = \frac{ { (\frac{n}{2}) }^{th} obs + ( { \frac{n}{2} + 1)}^{th} obs }{2} \\ m= \frac{ { (\frac{8}{2}) }^{th} obs + ( { \frac{8}{2} + 1)}^{th} obs }{2} \\ m= \frac{ { (4) }^{th} obs + ( { 5)}^{th} obs }{2} \\ m= \frac{ { 5} + 5}{2} \\ m = 5[/tex][/tex]

So the correct answer will be option (3) Median > Mean

Learn more about mean and median here:

https://brainly.com/question/13741558

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6
B
42°
3.1 m
32°
A
D
С
Calculate the length of AB.
Show your working clearly.
Give your answer correct to 3 significant figures.

Answers

Answer:

D i did the test and got a 100

Step-by-step explanation:

What is the slope of a parallel to the graph?

Answers

Answer:

3

Step-by-step explanation:

slopes in parallel are equal

3) 12 - 24 =
4) 810 - 23 =
5) 23 - 14 =

Answers

12 - 24 = -12

810 - 23 = 787

23 - 14 = 9

Point D is in the interior of ∠ABC. What is m∠DBC?

Answers

37.5 degrees

we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.

The measure of angle ∠DBC is,

⇒ ∠DBC = 35.5°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Point D is in the interior of ∠ABC.

And, ∠ABD = (3x + 22)°

⇒ ∠DBC = (x - 4)°

Clearly, Both angle make a linear pair.

Hence, We get;

⇒ ∠ ABD + ∠DBC = 180°

⇒ (3x + 22) + (x - 4) = 180°

⇒ 3x + 22 + x - 4 = 180

⇒ 4x + 18 = 180

⇒ 4x = 180 - 18

⇒ 4x = 162

⇒ x = 162/4

⇒ x = 40.5

Hence, The measure of angle ∠DBC is,

⇒ ∠DBC = (x - 4)°

⇒ ∠DBC = (40.5 - 4)°

⇒ ∠DBC = 35.5°

Learn more about the angle visit:;

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how do i put that on a line?please help me.

Answers

Plot the dot on the -12 but when u plot the dot its not gonna be the dark dot so click it twice and the line is going to the right

Can A Expert Help Me Find The Value Of X Please (Geometry)

Answers

Answer:

x=75

Step-by-step explanation:

Okay so the sum of the angles inside this figure is

(6-2)*180=4*180=720

now, we can find 4 of the interior angles becuase they are supplementry.

180-54=126

180-51=129

There are two of each so we can just do 2(126)+2(129)=252+258=510

That means the two remaining angles that are supplementary to x equal to 510. they are equal, so we know the interior angles equal 720-510=210/2=105

Since the angles are supplementary, x=180-105=75

BTW: Supplementary angles are angles that equal to 180 degrees.

What is the length of the missing leg?

Answers

C = 17.5 I’m pretty sure

Which statement about the two triangles is correct?

Answers

Answer:

The second choice

Step-by-step explanation:

i dunno how to explain it

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