Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81

Answer: The conclusion is valid

Step-by-step explanation:

Number of students surveyed = 50

Number of students who visited a science museum = 20

Number of students who haven't visited a science museum = 30

Percentage of student that have visited a Science museum:

= 20/50 × 100

= 40%

The conclusion is valid based on the calculation.

Answer:

C

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify [tex]\sqrt{27}[/tex]

= [tex]\sqrt{9(3)}[/tex]

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

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

Then

4[tex]\sqrt{3}[/tex] - 3[tex]\sqrt{3}[/tex]

= [tex]\sqrt{3}[/tex] → C

Answer:

c). y = 2

Step-by-step explanation:

We can check a line by inputting the x and y from (x, y) into the equation.

For a. y = 2x we get

2 = 2*10 and 2 = 2*(-3), both of those are false

For b. y = 2x - 3 we get

2 = 2*10 - 3 and 2 = 2*(-3) + 10, both of those are false again

For c. y = 2 we get

2 = 2 and 2 = 2, both of those are true, so this is the right answer.

For d. y = 2x + 10 we get

2 = 2*10 + 10 and 2 = 2*(-3) + 10, both of those are false

Alternatively, we can solve the equation y = ax + b (this gives a single answer for any two points with different x's).

y = ax + b

We input (x, y) as (10, 2) and (-3, 2)

2 = a*10 + b = 10a + b

2 = a*(-3) + b = b - 3a

so we have

10a + b = b - 3a

13a = b - b

13a = 0

a = 0

Now we ca use a = 0 to solve either of the equations above:

2 = 10a + b

2 = 10*0 + b

2 = b

so with a=0 and b=2 we get the answer

y = 0*x + 2

y = 2

Which brings us to answer c. again.

One-half times 22 times 23.1

One-half ties 15.9 times 31.9

The area of triangles is One-half times 22 times 23.1 and One-half ties 15.9 times 31.9. Then the correct options are A and E.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Triangle X Y Z has a base of 22 and a height of 23.1.

Then the area of the triangle will be

[tex]\rm Area\ triangle = \dfrac{1}{2} \times 22 \times 23.1[/tex]

The triangle also has a base of 31.9 and a height of 15.9.

Then the area of the triangle will be

[tex]\rm Area\ triangle = \dfrac{1}{2} \times 15.9 \times 31.9[/tex]

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:

function f(x) = x + 3 has a zero at x = 3 since f(3) = 0.

Step-by-step explanation:

Answer:

f(16)= -8

Step-by-step explanation:

f(16)= 1/3(4-16)2

Answer:

-8

Step-by-step explanation:

To answer this question, you must plug in the given 16 to the equation

f(16)= 1/3(4-16)2

f(16)= 1/3(-12)2

f(16)= 1/3(-24)

f(16)= -8

A 64 ounce bottle of organic orange juice costs $14.72. What is the price

per ounce?;  0.23

Anna typed 600 words in 15 minutes. How many words can she type per

minute?; 40 words per minute

Answer:

cos z = 35 / 37

Step-by-step explanation:

cos z is the ratio of the adjacent side of a triangle (the side adjacent to angle z to the hypotenuse:

cos z = (adj. side) / (hypotenuse)

Here we have cos z = 35 / 37

Answer:

Hi! The answer to your question is 8

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

Angle 6 = 46°

Angle 7 = 134°

Angle 8 = 77°

Step-by-step explanation:

Angle 6 = 180 - 134 (Due to the angles on a straight line add up to 180 property)

Angle 6 = 46°

Angle 7 = 180 - 46

Angle 7 = 134°

360 = 56+148+(2 x Angle 8)

2 x Angle 8 = 360-204

2 x Angle 8 = 156

Angle 8 = 78°

Answer:

x = 14

Step-by-step explanation:

x + 10 = 2x - 4

x + 10 - 10 = 2x - 4 - 10

x = 2x - 14

x - 2x = 2x - 2x - 14

- x = - 14

- x ÷ - 1 = - 14 ÷ - 1

x = 14

Answer:

7980

Step-by-step explanation:

Answer:

you can make any triangle from the above measures

Answer:

a(5a - 6)

Step-by-step explanation:

5a² - 6a

Common factor: a

Factored:

a(5a - 6)

Area of a circle = pi x r^2

Area = 3.14 x 7^2

Area = 3.14 x 49

Area = 153.86 square units.

Answer:

12

Step-by-step explanation:

it should be the answer if not messge me so we can work it out

Answer:

38.42cm

Step-by-step explanation:

Given that the length of the sides of a rectangle are 30 cm and 24 cm.

The length of the diagonal can be obtiaed using Pythagoras rule

Length of the diagonal = hypotenus

Hypotenus = sqrt(opposite ² + adjacent ²)

Opposite and adjacent sides are 30cm and 24 cm

Hypotenus = sqrt(30² + 24²)

Hypotenus = sqrt(900 + 576)

Hypotenus = sqrt(1476)

Hypotenus = 38.419

Length of diagonal = 38.42cm

Answer:

find the size of angle O to the nearest degree

Answer:

(0, -2)

(-2, -10)

(3, 14)

(-3, -14)

Linear Function

Step-by-step explanation:

Formula: y = 4x - 2

Plug in the values of x or y for each ordered pair:

y = 4(0) - 2

y = 0 - 2

y = -2

(0, -2)

y = 4(-2) - 2

y = -8 - 2

y = -10

(-2, -10)

14 = 4x - 2

12 = 4x

3 = x

(3, 14)

-14 = 4x - 2

-12 = 4x

-3 = x

(-3, -14)

What type of function is it?

Linear function

Why is it a linear function?

Refer back to the original formula given: y = 4x - 2. This is in slope-intercept form, or y = mx + b. This specific format informs graphers the line will be straight, or linear. You can also graph all of the ordered pairs to obtain a visual of a straight line, proving this function to be linear.

#1

So pair is

(0,-2)

#2

Pair is (-2,-10)

#3

pair is

(4,14)

#4

Pair is

Answer:

when its a linear equation

Step-by-step explanation:

Answer:

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Answer:

The answer is: 75/8   OR  if you want it simplified: 9 3/8

~hope this has helped you, have a gr8 day/night my friend!~

Step-by-step explanation:

Answer:

Step-by-step explanation:

ΔWXZ and ΔYVZ

Lets verify the ratio of corresponding sides:

As we see the equation is false, so the triangles are NOT similar

Answer:

Step-by-step explanation:

Average Speed = Total Distance / Total Time

Total Distance = 50+ 70 + 10 + 60 = 190 Miles

Total Time = 1 + 1 + 1/2 + 1/2 =  3 hours

Average speed = 190 / 3 = 63.3 mph

Answer:

[tex]Quarters = 41[/tex]

[tex]Dimes = 18[/tex]

Step-by-step explanation:

Given

[tex]Coins = 59[/tex]

[tex]Worth = \$12.05[/tex]

[tex]d = dimes[/tex]

[tex]q = quarters[/tex]

Required

The number of each coin

The total coins can be represented as:

[tex]d + q = 59[/tex]

[tex]1\ quarter = \$0.25 \\ 1\ dime = \$0.10[/tex]

So, the worth of the coin is:

[tex]0.25q + 0.10d = 12.05[/tex]

The equations to solve are:

[tex]0.25q + 0.10d = 12.05[/tex]

[tex]d + q = 59[/tex]

Make d the subject in: [tex]d + q = 59[/tex]

[tex]d =59 - q[/tex]

Substitute [tex]d =59 - q[/tex] in [tex]0.25q + 0.10d = 12.05[/tex]

[tex]0.25q + 0.10(59 - q) = 12.05[/tex]

[tex]0.25q + 5.9 - 0.10q = 12.05[/tex]

Collect like terms

[tex]0.25q - 0.10q = 12.05 - 5.9[/tex]

[tex]0.15q = 6.15[/tex]

Solve for q

[tex]q=\frac{6.15}{0.15}[/tex]

[tex]q=41[/tex]

Substitute [tex]q=41[/tex] in [tex]d =59 - q[/tex]

[tex]d = 59 - 41[/tex]

[tex]d = 18[/tex]

So:

[tex]Quarters = 41[/tex]

[tex]Dimes = 18[/tex]

Answer:

9 pounds

Step-by-step explanation:

87.75 divided by 9.75 = 9

9

Answer:

1 or 2

Step-by-step explanation:

but om pretty sure its 2

Answer:

22

Step-by-step explanation: its 22 because 1/4 x 22= 5 1/2

The shape has 9 sides.

Sum of interior angles = (n-2) x 180, where n is the number of sides.

Sum of interior angles = (9-2) x 180 = 7 x 180 = 1,260 degrees.

Answer:

We have

Side of polygon = 9

So,

By using the formula

(n - 2) × 180

(9 - 2) × 180

7 × 180

1260⁰

[tex] \\ [/tex]

Answer:

Step-by-step explanation:

Volume of the cone

Height =2 √3

Base = 2cm

Note : a × b = 0 ==》 a = 0 Or b = 0

_________________________________

( 2x - 7 )( 5x + 75 ) = 0

2x - 7 = 0 ===》 2x = 7 ===》 x = 7 / 2

===》 x = 3.5

Or

5x + 75 = 0 ==》 5x = - 75 ==》 x = - 75 / 5

==》x = - 15

Step-by-step explanation:

(2x-7)(5x+75)=0

2x(5x+75) -7 (5x+75)=0

10x^2 + 150x - 35x - 525 =0

10x^2 + 115x - 525 =0

5(2x^2 + 23x - 105 ) =0

2x^2 +30x-7x - 105 =0

2x ( x + 15 ) -7 ( x + 15) = 0

(2x-7) (x + 15) =0

so, 2x-7=0 and x+15 =0

x = 7/2 and x = -15

#cancelicseboardexam2021

Step-by-step explanation:

Answer:

it's b on edge

Step-by-step explanation:

Answer:

16)  x = 11

17) C

Step-by-step explanation:

16) take square root of each side

17) look for the answer that has a +1 as the y-intercept and a positive slope