(6.72 x 10^9) - (2.01 x 10^9)

Answer:

4858

Step-by-step explanation:

5,638-780=4,858

Answer:

[tex] - 13107[/tex]

Step-by-step explanation:

We would like to evaluate the following Geometric Series ,

[tex]\displaystyle\longrightarrow \sum _{n=1}^8 (-4)^{n-1 }[/tex]

In a geometric series, a common number is multiplied to the previous term in order to find the next term . And that common number is called common ratio (r) .

As we know that ,

[tex]\displaystyle\longrightarrow \sum_{x = 1}^n f(x) = f(1) + f(2) + \dots + f(n) [/tex]

So , we can write the series as ,

[tex]\displaystyle\longrightarrow (-4)^{1-1}+(-4)^{2-1}+\dots +(-4)^{8-1} [/tex]

Simplify,

[tex]\displaystyle\longrightarrow (-4)^0 + (-4)^1+(-4)^2+\dots +(-4)^7 [/tex]

We can find the common ratio by dividing and successive term by its preceding term , as ;

[tex]\displaystyle\longrightarrow r =\dfrac{-4}{1}=-4 [/tex]

Again , here ;

And we can find the sum of geometric series using the formula , ( this is used when the value of r is less than 1 , here it is -4 ) .

[tex]\displaystyle\longrightarrow \Bigg[ Sum = \dfrac{a(1-r^n)}{1-r}\Bigg] [/tex]

On substituting the respective values, we have;

[tex]\displaystyle \longrightarrow\rm{ Sum }=\dfrac{ 1\{1-(-4)^8\}}{1-(-4)}\\ [/tex]

Simplify ,

[tex]\displaystyle\longrightarrow \rm{Sum} = \dfrac{1-65536}{1+4}\\[/tex]

[tex]\displaystyle\longrightarrow \rm{Sum} = \dfrac{-65535}{5} [/tex]

Simplify by dividing ,

[tex]\displaystyle\longrightarrow \underline{\underline{ \rm{Sum} = -13107}} [/tex]

And we are done !

Answer:

237

Step-by-step explanation:

1000 minus 355= 645

645 minus 233= 412

412 minus 175= 237

Answer:

237 students

Step-by-step explanation:

355 are playing sports

233 are in a school band.

175 in both

355 + 233 + 175 = 763

763 students are in sports, band or both

1000 - 763 = 237

237 students aren't participating in neither.

hope this helps :)

Answer:

Step-by-step explanation:

Let's create some equations first.

Say M = number of months, T = Todd and S = Sally.

We know that Todd starts with 8 cds and sally starts with 18 cds.

This means when M= 0,  T = 8 and S = 18

After one month (M = 1), Todd adds 9 cds.

This means can write the following equation:

T = 8 + 9M

So after the first month (where M = 1), we can find out that Todd has

T = 8 + 9 x 1 = 8 + 9 = 17 cds

For Sally, we know she adds 7 cds per month.

S = 18 + 7M

After one month (M = 1),

S = 18 + 7 x 1 = 25 cds.

Now we are trying to find when they will have the same number of cds and how many.

This means we are trying to figure out what M = ? when Todd and Sally are equal.

So we want to find when T = S

Remember, earlier we wrote :

T = 8 + 9M

S = 18 + 7M

If T = S, this means:

8 + 9M = 18 + 7M

Gather the like terms and solve for M.

Subtract 8 from both sides.

9M = 10 + 7M

Subtract 7M from both sides

2M = 10

Divide both sides by 2

M = 5.

So in 5 months, we are saying T = S (Todd and Sally will have the same number of cds).

Put M = 5 back into our earlier equations to find out how many cds they have after 5 months.

T = 8 + 9M

T = 8 + 9 x 5

T = 53

Therefore, after 5 months Todd and Sally will have 53 cds each :)

Answer:

They will be 0.5x miles away from each other.

Calculation of the distance:

Since Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.

So here the speed of the dog should be 2x

Now we know that

Here distance of cat should be x of 30 minutes or half hour = 0.5x miles

And, Distance of dog should be 2x of 0.5 = x miles

So, the difference should be

= x - 0.5

= 0.5x miles

hence, They will be 0.5x miles away from each other.

Step-by-step explanation:

Answer:

1.5x miles, because you already know that the cat's speed is 0.5x miles, and the dog is x miles, so when you add it together, you get 1.5x miles

Answer:

-17/10

Step-by-step Explanation :

Answer:

GOODMORNING!!!

Step-by-step explanation:

I pray you, have a wonderful day!!  

Step-by-step explanation:

a parallel line has the same slope. that is the actual meaning of "parallel".

so we need to find the slope of line t to get our answer.

remember, the slope is the ratio " y coordinate change / x coordinate change" when going from one point on the line to another.

so, here we have 2 points (9, 10) and (3, 3).

going from the first to the second we see

x changes by -6 (from 9 to 3).

y changes by -7 (from 10 to 3).

the slope is then -7/-6 = 7/6.

and therefore, the slope of u is also 7/6.

Answer:

The constant of proportionality in the equation y=0.41 is 0.41

Step-by-step explanation:

Step-by-step explanation:

b.

[tex]( \sqrt{x + 2} ) { }^{2} =( 5) { }^{2} \\ \\x + 2 = 25 \\ x = 25 - 2 \\ x = 23 [/tex]

Answer:

[tex]B= 41[/tex]; [tex]C = 56[/tex]; [tex]A = 83[/tex]

Step-by-step explanation:

Given

[tex]A = 2x + 1[/tex]

[tex]B = x[/tex]

[tex]C = x + 15[/tex]

Required

Arrange the angles from smallest to largest

First, we need to determine the value of x.

Since, it is a triangle:

[tex]A + B + C = 180[/tex]

Substitute values for A, B and C

[tex]2x + 1+ x + x + 15 = 180[/tex]

Collect Like Terms

[tex]2x + x + x = 180 - 15 -1[/tex]

[tex]4x = 164[/tex]

Solve for x

[tex]x= 164/4[/tex]

[tex]x= 41[/tex]

Solve for A, B and C

[tex]A = 2x + 1[/tex]

[tex]A = 2 * 41 + 1[/tex]

[tex]A = 82 + 1[/tex]

[tex]A = 83[/tex]

[tex]B = x[/tex]

[tex]B= 41[/tex]

[tex]C = x + 15[/tex]

[tex]C = 41 + 15[/tex]

[tex]C = 56[/tex]

From Smallest to Largest, we have:

[tex]B= 41[/tex]; [tex]C = 56[/tex]; [tex]A = 83[/tex]

Answer:

38.33 feet.

Step-by-step explanation:

Answer: 38.33ft

Explanation: I looked it up :)

The width of each ring in the redwood trees of coastal California is 0.06 inches.

According to the statement, we know that age of a tree and base diameter are directly proportional to the number of rings. The width of the ring is estimated by dividing the radius of the tree base by the age of the tree:

[tex]w = \frac{10\,ft \times 12\,\frac{in}{ft} }{2000}[/tex]

[tex]w = 0.06\,in[/tex]

The width of each ring in the redwood trees of coastal California is 0.06 inches. [tex]\blacksquare[/tex]

The statement in incomplete, correct form is shown below:

Each year of its life, a tree grows a new ring just under the outside bark. The new ring consists of two parts, light-colored springwood, when the tree grows the fastest, and a darker-colored summerwood, when growth slows. When conditions are good and there is lots of sun and rain, the new ring is thicker than the rings formed when there is drought or excessive cold. At the center of the tree is a dark circle called pith that is not connected to the age of the tree.

The redwood trees of coastal California are the tallest living things on earth. On redwood is 350 feet tall, 20 feet in diameter at its base, and around 2000 years old. Assume that the lower 50 feet of the tree form of the tree form a cylinder 20 feet in diameter and that all of the rings grew at the same rate.

How wide is each annual ring (springwood and summerwood combined)? Disregard the bark and pith in your calculations. Show your work. Write your answer in inches.

To learn more on trees, we kindly invite to check this verified question: https://brainly.com/question/13604529

Answer:

th e answer is E. 4

Step-by-step explanation:

Answer:

y=15x+50

Step-by-step explanation:

yes this is linear because you are paying 15 dollars every month, with 50 dollars too

Answer:

Step-by-step explanation:

Answer:

5.99

Step-by-step explanation:

Answer:

translated down 7 units

Step-by-step explanation:

whenever it is written like this I'm pretty sure it's just translated down it would have to be in parentheses to go left and right

Answer:

A.

Step-by-step explanation:

Radical expressions can only be simplified if their radicands are identical.

6/7

Hi there !

18 : 21 = 18⁽³/21 = 6/7

Good luck !

Answer:

2.016 x 10^3

Standard form must have a single digit number x10 to the power of a number.

Here, we had to move the decimal point three times to the left, therefore it will be a power of positive three for the 10.

Answeri got u my boy

Step-by-step explanation:

it is

implifying

4x + 6y + -3 = 0

Reorder the terms:

-3 + 4x + 6y = 0

Solving

-3 + 4x + 6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 4x + 3 + 6y = 0 + 3

Reorder the terms:

-3 + 3 + 4x + 6y = 0 + 3

Combine like terms: -3 + 3 = 0

0 + 4x + 6y = 0 + 3

4x + 6y = 0 + 3

Combine like terms: 0 + 3 = 3

4x + 6y = 3

Add '-6y' to each side of the equation.

4x + 6y + -6y = 3 + -6y

Combine like terms: 6y + -6y = 0

4x + 0 = 3 + -6y

4x = 3 + -6y

Divide each side by '4'.

x = 0.75 + -1.5y

Simplifying

x = 0.75 + -1.5y

Answer:

the answer is a)50 degree

Step-by-step explanation:

as alternate angle so

x+35=85

so x=85-35

x=50 degree

thanks

Answer:

50

Step-by-step explanation:

ʕ•ᴥ•ʔ hope this helps

Hey there!

3^0 * 3

= 1 * 3

= 1 + 1 + 1

= 2 + 1

= 3

Therefore, your answer is: 3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:
28cx2m−12cx+12c−35x2m+15x−15

Step-by-step explanation:

Answer:

48%

Step-by-step explanation: multiply 4 with the numerator and denominator

Answer:

A

Step-by-step explanation:

the square root of 3 is an irrational number.

Answer:

(x²+5)(x+2)

simple find the common factor between x³ and 2x² and the cf of 5x and 10

u will end up with these results then^