Use the following scenario to answer the question below:
You are deciding between two cars with different engines and want the bigger
of the two. One engine displaces 350 cubic inches. The other displaces 5,500
cubic centimeters. How many significant figures do the values in this problem
involve?
A. 4
B. 3
C. 2
D. 1

Answer:

An=125(1/5)^n-1

Step-by-step explanation:

r=common ratio

A1= first term in the sequence

I hope this helps some

The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

The given GP series is 125, 25, 5, ...

First term a = 125

Common ratio = 25/125 = 1/5

The nth term will be given as ar^(n-1)

Thus, An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

Hence "The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125".

For more information about the geometrical progression,

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Answer:

16.4

Step-by-step explanation:

√269= 16.40121946...

simplifies to 16.4 I believe

Answer: 17.2

Step by step explanation: Here are step-by-step instructions for how to get the square root of 296 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 296 to be:

√296 = 17.20465053408530

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

17.20

Step 3: Round 17.20 so you only have one digit after the decimal point to get the answer:

17.2

Answer:

1.3333

Step-by-step explanation:

1.3333

Conversion Table

miles per hour to miles per minute

mph mi/min

80 1.3333

90 1.5

100 1.6667

The speed of this:

70 miles per hour

1 hour = 60 minutes

70/60 = 7/6

around 1 1/6 mile per minute

hope this helps

Answer:

B' = 105°

C = 27°

A = 48°

Step-by-step explanation:

Given

B = 105°

C = (2x - 3)°

C' = (5x - 48)°

Rotation = 90°

Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.

i.e. an angle retain its measurements pre and after rotation.

Solving (a): The measurement of B'

Using the analysis above.

B' = B

Recall that

B = 105°

So:

B' = 105°

Solving (b): A and C

First, I'll solve for C.

Using the same analysis above.

C = C'

Substitute values for C and C'

5x - 48 = 2x - 3

Collect like terms

5x - 2x = 48 - 3

3x = 45

Multiply both sides by ⅓

⅓*3x = ⅓*45

x = 15

Substitute 15 for x in

C = (2x - 3)°

C = 2 * 15 - 3

C = 30 - 3

C = 27°

Solving for A

The sum of angles (A, B and C) is represented as:

A + B + C = 180

Substitute values for B and C

A + 105° + 27° = 180°

A + 132° = 180°

Collect like terms

A = 180° - 132°

A = 48°

Answer:

its c i believe <3

Expression can be used to find 1/2 of 12 is 1/2*12

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex](in percentage)

Given;

P= 1/2 => 5/10 => 50/100

b= 12

substituting in the formula;

 a/12 = 50/100

putting the value of 50/100 from given

 a/12= 1/2

a= 1/2*12

Therefore, the correct answer will be 1/2*12

Learn more about percent here:

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Answer:

So the number of ways of choosing two distinct letters at a time is (42)=6. We can then add the duplicate pairs which are O,O and N,N to give a total of 8 possible pairs.

Answer:

15

Step-by-step explanation:

There are 6 letters in the word number

This is 6 choose 2

This is a combination

The formula is 6! / ( 2! * (6-2)! )

                           6! / 2! 4!

                           (6*5*4*3*2*1) / ( 2*1 *  4*3*2*1)

Canceling like factors

                             (6*5) / ( 2*1)

                              30/2

                                 15

There are 15 possible ways to have 6 choose 2

Answer:

The value is  [tex]z = -8.4[/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  70  

    The mean is  [tex]\mu = \$ 5971[/tex]

    The standard deviation is  [tex]\sigma = \$ 219[/tex]

     The sample mean is  [tex]\= x = \$ 5751[/tex]

Generally the number of standard deviations the sample mean is from the mean of the distribution is mathematically represented as

         [tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]

=>      [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]

=>      [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]    

=>      [tex]z = -8.4[/tex]    

Answer:are you taking AP calculus AB

Step-by-step explanation:

Answer:

A l and lll

my teacher helped me

Answer:picture?

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

system of equations:

[tex]a+b=4[/tex]

[tex]a^3+b^3=28[/tex]

[tex]a=4-b[/tex]

plug in for a in other equation and solve

[tex](4-b)^3+b^3=28[/tex]

[tex]64-48b+12b^2-b^3+b^3=28[/tex]

[tex]64-48b+12b^2=28[/tex]

[tex]0=36-48b+12b^2[/tex]

[tex]0=3-4b+b^2[/tex]

[tex]0=(b-3)(b-1)[/tex]

[tex]b = 3[/tex]

or

[tex]b=1[/tex]

plug into other equation to get a

[tex]a=4-b=4-3=1[/tex]

or

[tex]a=4-b=4-1=3[/tex]

multiply together

[tex]1*3=3[/tex]

Answer: let the video play for a while, pause, disconnect from wifi, reconnect, then refresh the page.

Step-by-step explanation:

You may have to press next activity again and it might not work the first time but I promise it works.

Answer:

you skip when it comes to the very end

Step-by-step explanation:

Answer:

Step-by-step explanation:

is the first choice, no other terms have anything in common with the number

399 or variable w

Step-by-step explanation:

(14)/(5)=(x)/(25)

We move all terms to the left:

(14)/(5)-((x)/(25))=0

We add all the numbers together, and all the variables

-(+x/25)+14/5=0

We get rid of parentheses

-x/25+14/5=0

We calculate fractions

There is no solution for this equation

Answer:

4.24

Step-by-step explanation:

By geometric mean property

[tex] {x}^{2} = 6 \times 3 \\ \\ {x}^{2} = 18 \\ \\ x = \pm\sqrt{18} \\ \\ x = \pm 4.24264069 \\ \\ \because \: x \: can \: not \: be \: - ve \\ \\ \therefore \: x = 4.24 \: units \\ [/tex]

Answer:

54

Step-by-step explanation:

90+36= 126

180-126= 54

Answer:

The Best answer would be The Third Option Below

Step-by-step explanation:

9514 1404 393

Answer:

  y = ∛(x -4) -1

Step-by-step explanation:

The transformation ...

  g(x) = f(x -h) +k

translates the graph of f(x) h units to the right and k units up. Here, the cube root function is translated 4 units right and 1 unit down, so h=4 and k=-1. Putting those into your equation gives ...

  y = ∛(x -4) -1

Answer:

[tex]7^2+6[/tex]

7 to the 2nd power is 49

49+6

55

Answer:

Step-by-step explanation:

The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.

For the smaller prism, the area is ...

  (20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²

The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:

  4×630 m² = 2520 m²

__

In summary, the total surface area of each prism is ...

Answer:

A. $,143,699,010

Step-by-step explanation:

Use a calculator my friend.

A. 1,430,699,010

put it in a calculator and then you should have the right answer

here's the answer.....I hope it would work

Answer:

3/17

Step-by-step explanation:

Substitute the given values for the variables.

[tex]\frac{12}{5+9(7)}[/tex]

Simplify

[tex]\frac{12}{5+63}[/tex]

[tex]\frac{12}{68}[/tex]

[tex]\frac{3}{17}[/tex]

Answer:

∆DPL ~ ∆QAZ

Step-by-step explanation:

In the diagram given, the following can be deduced:

<D is congruent to <Q

<P is congruent to <A

<L is congruent to <Z

From these, looking at the letter arrangement, the similarity statement can be written as:

∆DPL ~ ∆QAZ