What is the sum of the first five terms of the geometric sequence in which
a1 = 3 and r= 1/3?

Express your answer as an improper fraction using the slash (/) key and no
spaces.

Answer:

84.6

Step-by-step explanation:

135c + 273.15 = 408 K

72C + 273.15 = 345 K

100 L over 408 K = V2 over 345 K

V2= 84.6

The volume of the gas when temperature decreases to 72.0 °C is 84.6 L

Volume is a physical quantity that measures the amount of three-dimensional space occupied by matter (solid, liquid, or gas).

Volume is defined as the three-dimensional space occupied by matter or enclosed by a surface. The SI unit of volume is the cubic meter (m³),

Given that, a sample of gas has a volume of 100.0 L at 135 °C, the pressure remains constant, we need to find that what is the volume of the gas when temperature decreases to 72.0 °C

Converting the temperature into Kelvins =,

135C + 273.15 = 408 K

72C + 273.15 = 345 K

100 L / 408 K = V2 / 345 K

V2 = 84.6

Hence, the volume of the gas when temperature decreases to 72.0 °C is 84.6 L

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Answer:

7a) 6X + 24

7b) 4X + 17

8) $142

Step-by-step explanation:

7a) you first combine the variables / letters. Then the numbers

1. 4x + 2x = 6x

2. 29 - 5 = 24

6x + 24

7b) you first combine the variables / letters. Then the numbers

1. x + 3x = 4x

2. 10 + 14 - 7 = 17

4x + 17

8) I did 12a + 8b + 6b

1. plug in your numbers into the variables / letters  12( 6 ) + 8 ( 5 ) + 6 ( 5 ) = ?

2. Then do the individual numbers 72 + 40 + 30 = ?

3. Then you can combine them all 142

Answer:

ink

Step-by-step explanation:

none

Answer:

B

Step-by-step explanation:

To what power do you have to raise 6 to get 6?

As in: 6^? = 6

6^1 = 6, so the answer is 1

hope this helps :)

Answer:

3 , 4 , 1

Step-by-step explanation:

The interval 44-47 has a frequency of  3

The interval 48-51 has a frequency of  4

The interval 56-59 has a frequency of  1

got it right on edge

Answer:

The interval 44-47 has a frequency of  3

The interval 48-51 has a frequency of  4

The interval 56-59 has a frequency of  1

Step-by-step explanation:

3

4

1

Answer:

The inverse of the function y = 5x - 10 would be:

5x - 10 = y

or

5x = y + 10

or

x = (1/5)y + 2

Hope this helps!

:)

The inverse of the function y=5x-10 is given by the formula f^-1(x) = (x + 10)/5. This is found by switching x and f(x) in the original equation, then solving for the new function.

The problem asked us to find the inverse of the function y=5x-10. Finding the inverse of a function involves reversing the variables and then solving for the new y variable. Here are the steps for this:

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The multiplicative rate of change of the function is (b) 3/4

The table entries are given as:

x  y

1 3/2

2 9/8

3 27/32

4 81/128

From the above table, we have:

y1 = 3/2

y2 = 9/8

Divide y2 by y1 to get the multiplicative rate of change (r)

[tex]r = 9/8 \div 3/2[/tex]

Evaluate the quotient

r = 3/4

Hence, the multiplicative rate of change of the function is (b) 3/4

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Answer:

Perimeter = sum of length of all sides = 8 + 3 + 10 + 11 = 32

Area = (base1 + base2) x height/2 = (3 + 11) x 7/2 = 49

Hope this helps!

:)

Answer:

12 choices

Step-by-step explanation:

There are 3 possible flavors Zoe can choose from: vanilla, chocolate, and strawberry.

Meanwhile, there are 4 possible toppings Zoe can choose from: walnuts, sprinkles, and chocolate fudge and cookie crumbs.

Each flavor can go with each topping, so we just multiply these two numbers together:

3 * 4 = 12

Zoe has 12 choices.

Answer:

 2xy • (x - 2y2)

Step-by-step explanation:

STEP 1

:

Equation at the end of step 1

 ((2 • (x2)) • y) -  22xy3

STEP 2

Equation at the end of step

 (2x2 • y) -  22xy3

STEP 3

STEP 4

:

Pulling out like terms

4.1     Pull out like factors :

  2x2y - 4xy3  =   2xy • (x - 2y2)  

Trying to factor as a Difference of Squares:

4.2      Factoring:  x - 2y2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 2 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Answer:

A percentage is defined as the ratio of two numbers times 100.

Answer:Example: 1 divided by 2 is 0.5 or 50%. An interest rate is expressed as a percentage or as a point. ... A percentage is defined a the ratio of 2 numbers times 100 (percent is Latin for per one hundred). Example: 1 divided by 2 is 0.5 or 50%.

Step-by-step explanation:

Answer:

6in²

Step-by-step explanation:

the problem says the two triangular prisms are congruent.

the first triangle's volume is 90in³ and the height of the second triangular prism is 15. we use the formula fro the volume of the shape:

V=B * h

we substitute the values we know:

90in³=B*15

90/15 = B

6in²= B

So the area of the base is 6in²

Hope this helps :)

Answer:

5,-3

Step-by-step explanation:

Answer:

5,-3 $&$&$,$,$,,$$,$,,$,$,$,$,

Answer:

if you need the circumferance of a circle with a radious of 5, then it should be 31.42.

Step-by-step explanation:

Answer:

25pi or 78.5 units^2

Step-by-step explanation:

A = pi r^2

A = 25pi or 78.5

Answer:

Divide each side of 18/4 by 2 to get 9/2.

Answer:

184/10

Step-by-step explanation:

You have to delete the comma (,) so, by doing ×10 you have 18,4 -> 184. By doing ÷10 you have a fraction: 184/10 that is equal to 18.4

Answer:

30 ft

Step-by-step explanation:

Answer:

40ft.

Step-by-step explanation:

Answer:

Each side of the octagon a length of 6 cm

Step-by-step explanation:

Divide the perimeter by the amount of sides the shape has.

48 ÷ 8 = 6

Answer:

C. 11:16 AM

Step-by-step explanation:

Subtract 42 minutes from 58, which is 16. To find out what hour, you subtract by 3. When you do subtract, the answer is 11 AM.

Hope this helps :)

Answer:

[tex]a)5 \\ \: \: \: \: \: \: 8 \\ \: \: \: \: \: 11[/tex]

[tex]b)32[/tex]

Step-by-step explanation:

[tex]a)3n + 2 \\ 3 \times 1 + 2 = 5 \\ 3 \times 2 + 2 = 8 \\ 3 \times 3 + 2 = 11[/tex]

[tex]b)3n + 2 \\ 3 \times 10 + 2 = 32[/tex]

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Answer:

C

Step-by-step explanation:

We want a line of best fit, which means we want to create a line that the data points will lie closest to.

One thing we can do is find the slope between the bottom-leftmost point and the top-rightmost point. This is because if we were to draw a line connecting these two, it will cut through the data quite well.

Those two points are (9, 15) and (16, 18), so the slope is change in y divided by the change in x:

(18 - 15) ÷ (16 - 9) = 3 ÷ 7 ≈ 0.4

Eliminate A and B.

Now we need to determine the y-intercept. This needs no calculations; simply look at the graph: there's no way a line cutting through the y-intercept point of (0, 18) will perfectly match the data points; instead it must be a y-intercept lower than 18. So, eliminate D.

The answer is C.

Answer:

C

Step-by-step explanation:

The slope of the line of best fit should be around:

(18-15)/(16-10) = 0.5

And

The y-intercept would be less than 15

Therefore, option C is the most suitable option

Step-by-step explanation:

Step 1:  Add 5 to both sides

[tex]\frac{x}{12}-5+5=7+5[/tex]

[tex]\frac{x}{12}=12*12[/tex]

[tex]x=144[/tex]

Answer:  Option B, x = 144

Answer:A

Step-by-step explanation:

The required profit function is defined for all s and t greater than or equal to zero. Option A is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,

The profit function P=6t+10s represents the profit made by a company based on the number of units of two products: t units of product 1 and s units of product 2.

In general, the domain of the profit function depends on the specific context of the problem, but in the problem, we have no constraints so the domain of the profit function would be all real values for s and t greater than or equal to zero.  

Thus, the required profit function is defined for all s and t greater than or equal to zero. Option A is correct.

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Answer:

The answer is C

The top number represents the number of people that are in 2 or more sports

The bottom represents how many students total throughout the school

Answer:

5/4

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

If Trevor has 4 times more cards then Ming and Trevor has 228 cards you would divide 228 by 4 to get the number of cards ming has.

228 divided by 4 is 57

here is the answers

enjoy

Given Function A with points (–5, –2), (–5, 7) and Function B with points (7, –5), (–2, –5) represent linear functions, thus:

Function A has an undefined slope: no slope

Equation for line A would be: x = -5

Function B has a slope value of: 0.

Equation for line B is: y = -5

Recall:

Thus:

Linear Function A with the points (–5, –2), (–5, 7):

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 -(-2)}{-5 -(-5)} \\\\[/tex]

[tex]m = \frac{9}{0}[/tex] (can't divide. Undefined)

The equation for function A will therefore be written as: x = -5

Linear Function B with the points (7, –5), (–2, –5):

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-5)}{-2 - 7} \\\\[/tex]

[tex]m = \frac{0}{-9} = 0[/tex]

The equation for function A will be written as: y = -5

In summary, given Function A with points (–5, –2), (–5, 7) and Function B with points (7, –5), (–2, –5) represent linear functions, thus:

Function A has an undefined slope: no slope

Equation for line A would be: x = -5

Function B has a slope value of: 0.

Equation for line B is: y = -5

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The correct answer is:

The possible value for the 6th term is 40. Thus, the answer is B) 70.

To find the common ratio (r) of the geometric sequence, divide the 7th term by the 5th term:

[tex]\[ r = \frac{40}{160} = \frac{1}{4} \][/tex]

Now, we can find the 6th term (T6) using the common ratio and the 5th term:

[tex]\[ T6 = T5 \times r = 160 \times \frac{1}{4} = 40 \][/tex]

So, the 6th term could be 40. Therefore, the answer is:

B) 70

Answer:

1/3 times 6.8

Step-by-step explanation:

Answer:

y= 1/3x + 6

Step-by-step explanation:

Answer:

A. & F.

Step-by-step explanation:

Answer:

A. & F.

Step-by-step explanation: