What is the next term of the geometric sequence? 40/27, 20/9, 10/3, ??

Answers

Answer 1

Answer:

3/1

Step-by-step explanation:


Related Questions

if u help me and answer correctly ill give brainlest thanks

Answers

Answer:

10/4 in simplest form 5/2

Step-by-step explanation:

Since 2 goes into 10 and 5 you divide 2 by those two numbers which gives you 5/2

Find the surface area
8in
3in
6in

Answers

Answer:

Area of a Rectangular prism is

A = 2lh + 2lw + 2hw

Step-by-step explanation:

See picture above

Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π3?

Answers

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

How to determine the instantaneous rate of change of a given function

The instantaneous rate of change at a given value of [tex]x[/tex] can be found by concept of derivative, which is described below:

[tex]g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]

Where [tex]h[/tex] is the difference rate.

In this question we must find an expression for the instantaneous rate of change of [tex]g[/tex] if [tex]f(x) = \sin x[/tex] and evaluate the resulting expression for [tex]x = \frac{\pi}{3}[/tex]. Then, we have the following procedure below:

[tex]g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}[/tex]

[tex]g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}[/tex]

[tex]g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x[/tex]

[tex]g(x) = \cos x[/tex]

Now we evaluate [tex]g(x)[/tex] for [tex]x = \frac{\pi}{3}[/tex]:

[tex]g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}[/tex]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. [tex]\blacksquare[/tex]

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The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

What is the instantaneous rate of change?

The instantaneous rate of change is the change in the rate at a particular instant, and it is the same as the change in the derivative value at a specific point.

The  instantaneous rate of change is given by the following formula;

[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{f(x+h)-f(x)}{h}[/tex]

The given function is;

[tex]\rm f(x)=sinx[/tex]

The function is also written as;

[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{sin(x+h)-sin(x)}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinx cosh +cosx sinh-sinx}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinh}{h}. \ lim_{h\rightarrow 0} cosx\\\\g(x)=cosx[/tex]

Substitute the value of x in the function

[tex]\rm g(\pi /3)= cos(\pi /3)=1/2\\[/tex]

Hence, the instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

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https://brainly.com/question/11606037

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What is the volume of a sphere with a radius of 6.9 ft, rounded to the nearest tenth of a cubic foot?

Answers

Answer:

1376.1 ft^3

Step-by-step explanation:

The volume of a sphere formula: V=4/3πr^3

r = 6.9 ft

V = 4/3 * π * (6.9^3) = 1,376.055

to the nearest tenth it's 1376.1 ft^3

The number of radians in a 540540540-degree angle can be written as a\piaπa, pi, where aaa is a constant, what is the value of aaa ?

Answers

Using proportions, it is found that the value of a is of 3.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, a 180º angle has a measure of [tex]\pi[/tex] radians. What is the measure of a 540º angle? The rule of three is given by:

180º - [tex]\pi[/tex] rad.

540º - x [tex]\pi[/tex] rad.

Applying cross multiplication:

180x = 540.

x = 540/180 = 3.

The value of a is of 3.

More can be learned about proportions at https://brainly.com/question/24372153

Using proportions, the value of a is 3.

What is proportion?

Proportion is a mathematical comparison between two numbers.

When going from degrees to radians, 180 degrees is always going to equal π radians.

The conversion of angle from radian to degree;

[tex]\rm 180-\ 1 \\\\540-a[/tex]

The value of a is;

[tex]\rm \dfrac{180}{540}=\dfrac{1}{a}\\\\\dfrac{1}{3}=\dfrac{1}{a}\\\\1 \times a=1\times 3\\\\a=3[/tex]

Hence, the value of a is 3.

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Kevin is planning a trip. His round-trip train ticket
costs 550 and the hotel costs $200 per night. If
he spends $850 on his train ticket and hotel, how
many nights did he stay?

Answers

850- 550=300
300/200= 1.5
So he stayed for 1.5 nights??? However I don’t think you can stay for 1.5 nights so I don’t know if this is right. But it could be the right answer as I don’t see another possible solution. Sorry. You might need another persons opinion.

(1/10 * 1/10 * 1/10) = (- 10) ^ 3
Is it true or false

Answers

Answer:

  False

Step-by-step explanation:

The exponent signifies repeated multiplication, so will reflect the fact that 1/10 is a factor 3 times.

  (1/10)(1/10)(1/10) = (1/10)^3 . . . not (-10)^3

The given equation is FALSE.

__

This can also be written as 10^(-3), which is perhaps what someone was trying to do. The minus sign goes with the exponent, not the base.

This figure represents a ramp for a dollhouse that is being covered with fabric on all sides. How much fabric is needed to cover the ramp? 144 cm² 138 cm² 110 cm² 66 cm²

Answers

Answer: 144 cm^2

Step-by-step explanation:

i did the quiz

Answer:

144 cm²

Step-by-step explanation:

I took the K12 test

If the distance between two lines never changes,is it perpendicular,parallel,intersecting lines or rays

Answers

Answer:

parallel

Step-by-step explanation:

If the distance between two lines never changes, they are parallel lines.

Answer:

parallel

Step-by-step explanation:

parallel lines never have a distance change between them

help!

Fill in the empty spaces with monomials that make each equality
into an
indentity.
(3x - ...)? = 9x2 - 6x +1

Answers

Answer:

  1

Step-by-step explanation:

The square of the value in the empty space is the constant in the expanded expression. That is ...

  [ ]² = 1

The value in the space is ...

  [ ] = √1 = 1

The filled-in equation is ...

  (3x -1)² = 9x² -6x +1

_____

The expansion of the square of a binomial is ...

  (ax -b)² = a²x² -2abx +b²

Above, we used the constant term to find 'b', but we could also have used the linear term:

  -6x = -2(3)bx . . . . . a=3 in this problem

  1 = b . . . . . . . divide by -6x

PLEASE HELP!!!
NO LINKS!!!!
7. A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square
centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic
centimeter?
8. The volume of a sphere is 2,000pim^3. What is the surface area of the sphere to the nearest square meter?
9. The volumes of two similar solids are 1408 m^3 and 594m^3. The surface area of the smaller solid is 549m^2. What is the surface area of the larger solid?
10. What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14cm?

Answers

Answer:

im lost only because you made this so long

Step-by-step explanation:

find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help <3 if you can’t see, the diameter is 76

Answers

Answer:

[tex]\displaystyle 4536,4597918...\:cm.^2 = A[/tex]

Step-by-step explanation:

Split the diametre in half before proceeding:

[tex]\displaystyle \pi{r}^2 = A \\ \\ 38^2\pi = A \hookrightarrow 1444\pi = A \\ \\ \boxed{4536,4597918... = A}[/tex]

I am joyous to assist you at any time.

i dont understand???????????

Answers

Answer:

Step-by-step explanation:

We can obtain that the dimensions of the rectangle are 7 by 5.

Since A = lw, the total area is 35.



Find the geometric mean between 6 and 21.

Answers

Answer:

13.5

Step-by-step explanation:

That is the mean between 6 & 21

Order these from least to greatest 69/10 , 6.99, 7.927, 6 8/9

Answers

Answer:

6 8/9 , 69/10 , 6.99 , 7.927

Step-by-step explanation:

[tex]\frac{69}{10} = 6.9[/tex]

[tex]6\frac{8}{9} = 6.8[/tex]

Gavin purchased a stereo speaker in the shape of a triangular pyramid. It has a height of 6 inches. The volume of the speaker is 22 in3.

What is the area of the base of the speaker?


A. 5 in

B. 11 in

C. 66 in

D. 44 in

Answers

Answer: 11 in

Step-by-step explanation: To find the surface area of a triangular pyramid, the formula is B = 3v/h, where v is volume and h is height. Plugging this in, 3 * 22 = 66. 66 divided by 6 is 11. Thus, the area of the base is 11 inches.

A manufacturer packages coffee beans in 50 kg
cartons with an allowable error of 0.7%
. what is the acceptable weight range for a carton of coffee beans?

select the answers from the drop-down lists to correctly complete the sentence.
the acceptable weight of the cartons ranges from kg
to kg
.

Answers

Answer:

49.65-50.35

Step-by-step explanation:

0.7% of 50 is 0.35. We can find the range by first subtracting that from 50 which is 49.65, then adding it to get 50.35.

Please help with an explanation of how you found the answer because I am really confused. I will mark brainliest for best answer!

Answers

Answer:

The answer is A

Step-by-step explanation:

The minimum is 52 and the maximum is 65 therefore B and C are false.

Data set total number is 13 D medium is 56

so A is the correct answer

Please Help! Will give Brainlest!

Answers

Answer:

amplitude = 2

Step-by-step explanation:

the amplitude is the distance from the x- axis(midline ) to the maximum value , that is

amplitude = 2

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

Option B ( 2 )

the amount by which the graph of the function travels above and below its midline.

OR,

[tex] \sf{amplitude = distance \: from \: undisturbed \: position \div centre \: line \: to \: through \: or \: peak \: }[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

A 50kg ball rolls off a building it is going 5 m/s when it hits the ground. How tall is the building

Answers

Answer:

1.25m

Step-by-step explanation:

s=ut+1/2gt^2

Newton's second law of motion

F=ma

50x10

500N

500/50

g/a=10m/s^2

u=0m/s

s= 1/2gt^2

v=u+gt

5=0+(10t)

5=10t

t=0.5s

s=0.5×10×(0.5)^2

=1.25m

WILL MARK BRAINLIST An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)​

Answers

Hey there!

The first step in solving this equation is

using the Distributive property & distributing 2:

2(7x-3)=9

14x-6=9

Now, add 6 to both sides:

14x=15

Divide both sides by 14:

x=15/14

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning:-)

100 POINTS!!!

What is the length of XY?



20

10

36

40

Answers

Triangle xyz and triangle bcz are similar.
XY/20 = 36/18
XY/20 = 2
XY = 40

Answer:

the answer is 40

Step-by-step explanation:

I took the test on dradpoint

Asad wants to print 500 photos. A shop charges at rate of 0. 20 per photo to print. How much does he pay to print the photos?

Answers

Answer:

$100

Step-by-step explanation:

multiply 500 by 0.20

you can also see this as a fraction .20 is also 1/5 so if you take 1/5 of 500 you get 100

Mr.B called Mrs.A, then called Ms.C. If Mr.B called Ms. C first, then Mrs. A, what property does this mimic? Associative, Commutative, or Distributive property.

Answers

I believe commutative because it’s the same numbers but different order ! please mark brainliest <3 I hope this helps.

Reflect the shape A in the line y=5
What are the coordinates of the vertices of the image?

Answers

Answer:

(4,5) (4,8)(4,6)

Step-by-step explanation:

So now you're reflecting over the horizontal line that passes through the point (0,5)

:))

Step-by-step explanation:

(4,5),(4,6),(4,8)

the answer is this!

rent is putting in a sidewalk that is 1/18 yard thick, 9 yards long, and 1 yard wide. how many cubic yards of cement does he need?

Answers

Answer:

1/18 x 9 x 1 = .5 cubic yards. Why would you ever waste time asking this....

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have to find the volume. we can use volume of the cuboid formula

l = 1/18 yard

w = 9 yard

h = 1 yard

Volume = l*w*h

             [tex]= \dfrac{1}{18}*9*1\\\\\\= \dfrac{1}{2}\\\\\\= 0.5 \ \sf cubic yard[/tex]

0.5 cubic yards of cement is needed

Help pls!!!!!!!!!

ddddddddddddddd

Answers

#3- 1436.76
#4- 4188.79
#5- 3053.63
#6- 523.6
#7- 33.51
#8- 5575.28
I’m pretty sure

A tower that is 166 feet tall casts a shadow 167 feet long. Find the angle of elevation of the sun to the
nearest degree.

Answers

Answer:

The angle is approximately [tex]45^\circ[/tex].

Step-by-step explanation:

We should start with a diagram (like the one attached). Notice the length of the tower and the length of the shadow are the legs of a right triangle, and the angle of elevation is an acute angle of that triangle.

Since we are given the opposite and adjacent sides to the angle, we will use the tangent function:

[tex]\tan{\theta}=\frac{\text{opposite side}}{\text{adjacent side}}[/tex]

In this case, the opposite side is the height of the tower, 166 ft. The adjacent side is the length of the shadow, 167 ft. So, we have:

[tex]\tan{\theta}=\frac{166}{167}[/tex]

To get the angle, we need to use inverse tangent:

[tex]\theta=\tan^{-1}(\frac{166}{167})\\\theta \approx 45[/tex]

The angle is approximated [tex]45^\circ[/tex] when rounded to the nearest degree.

What is the measure of ∠H?
1. 115
2. 65
3. 50
4. 25

Answers

Answer:

2

Step-by-step explanation:

Since FG is congruent to FH, angles FGH and FHG are congruent since angles opposite congruent sides in a triangle are congruent.

Two marathon runners start a race at different times. Runner A stars her race first. and then Runner B starts his race 30 minutes later. Runner A runs 4 miles per hour. Runner B runs 6 miles per hour. Which equation can be used to determine the time in hours, t, that the runners will be side by side, the same distance from the starting line?

Answers

Answer:

4t = 6(t - 1/2)

Step-by-step explanation:

For Runner A, the expression is 4t since this runner's rate is 4 mph. For Runner B, the expression is 6(t - 1/2) since Runner B starts 1/2 hour after Runner A, and this runner's rate is 6 mph. Set these two expressions equal to each other.

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