Compute: 100 to the power of 999 times 5 to the power of negative 999 times 2 to the power of negative 999.

Answers

Answer 1

100 = 10² = 2² × 5², so

100⁹⁹⁹ = (2² × 5²)⁹⁹⁹

100⁹⁹⁹ = 2²ˣ⁹⁹⁹ × 5²ˣ⁹⁹⁹

100⁹⁹⁹ = 2¹⁹⁹⁸ × 5¹⁹⁹⁸

Then

100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 2¹⁹⁹⁸ × 5¹⁹⁹⁸ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹

100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 2¹⁹⁹⁸⁻⁹⁹⁹ × 5¹⁹⁹⁸⁻⁹⁹⁹

100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 2⁹⁹⁹ × 5⁹⁹⁹

100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = (2 × 5)⁹⁹⁹

100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 10⁹⁹⁹

which is a number with 1000 digits,

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000


Related Questions

-3x=3x+10 drnrjrjrjirjrjrjrjrje

Answers

Answer:

-1.666666...

Step-by-step explanation:

Find the distance between the points (10, -4) and (1, 8).

Answers

Answer:

15

Step-by-step explanation:

Use the distance formula

d = distance

[tex]d=\sqrt{(10-1)^2 + (-4 - (8))^2\\[/tex]

Solve the equation to get the following:

[tex]d=\sqrt{9^2 + (-12)^2}[/tex]

[tex]d = \sqrt{81+144[/tex]

[tex]d=\sqrt{225[/tex]

[tex]d = \sqrt{15[/tex]

help on the circled problems, will mark brainliest :D

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

x - (9x - 10) + 11 = 12x + 3(- 2x + [tex]\frac{1}{3}[/tex] ) ← distribute parenthesis on both sides

x - 9x + 10 + 11 = 12x - 6x + 1 ← collect like terms on both sides

- 8x + 21 = 6x + 1 ( subtract 6x from both sides )

- 14x + 21 = 1 ( subtract 21 from both sides )

- 14x = - 20 ( divide both sides by - 14 )

x = [tex]\frac{-20}{-14}[/tex] = [tex]\frac{10}{7}[/tex]

(3)

- 4x - 2(8x + 1) = - (- 2x - 10) ← distribute parenthesis on both sides

- 4x - 16x - 2 = 2x + 10

- 20x - 2 = 2x + 10 ( subtract 2x from both sides )

- 22x - 2 = 10 ( add 2 to both sides )

- 22x = 12 ( divide both sides by - 22 )

x = [tex]\frac{12}{-22}[/tex] = - [tex]\frac{6}{11}[/tex]

(7)

8(2x + 9) = 56 ( divide both sides by 8 )

2x + 9 = 7 ( subtract 9 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Amy bakes and sells cupcakes out of her home. She uses baking pans that hold 12 cupcakes and 36 cupcakes to fill her orders. Amy needs to fill her biggest order of 504 cupcakes for a special event.
a. Write an equation to represent the number of 12-cup and 36-cup baking pans for her
order.

b. Amy needs to use a combination of the 12-cup and 36-cup baking pans to fill the order. With only eighteen 12-cup baking pans in her shop, how many of the 36-cup baking pans does she need to complete the order?

Answers

Answer:

Below

Step-by-step explanation:

a) let's say that x represents the number of 12 pan cupcakes and y represent the number of 36 pan cupcakes. For her larger order she needs 504 cupcakes so that is the total. This can be demonstrated by the equation below!

    12x + 36y = 504

b) here we know that x = 18, so...

     12(18) + 36y = 504

      216 + 36y = 504

                36y = 288

     Divide both sides by 36

                     y = 8

Amy needs 8 of the 36 cup baking pans in order to complete her order.

Hope this helps! Best of luck <3

Point A is located at (1,5), and point M is located at (-1, 6). If point M is the midpoint of AB, find the location of point B.
0 (-3,7)
O (0,5.5)
O (3, 4)
O (0,5)

Answers

Answer:

(-3,7)

Step-by-step explanation:

point M is 4 left, 2 up from point A. if we go 4 left, 2 up again from point M (-1,6),  we get (-3, 7). that is how you get (-3, 7). if we draw a line from B(-3, 7) to A(1, 5), point M is in the middle. please correct me if im wrong, I hope this answer helps.

The location of point B is (-3,7).

What is the midpoint of a straight line?

The midpoint of a straight line is that certain point that divides the straight line to equal two parts. If A(x1,y1) and B(x2,y2) be the two terminal points of a straight line, the midpoint will be ((x1+x2)/2,(y1+y2)/2).

How to find the midpoint of a straight line?

Point A located at (1,5) and  M is located at (-1,6).

M is the midpoint of AB.

Let, the co-ordinate of B is (x,y)

Hence, (1+x)/2 = -1

x = -3

and (5+y)/2=6

y=7

The location of point B is (-3,7)

Learn more about midpoint here :

https://brainly.ph/question/284068

#SPJ2

As a burglar reaches for something on the mantel, accidentally knocks over a clock. It falls to the floor, breaks, and stops. The next morning, however, pol.ice aren't able to determine what time the robbery took place. Why not?

Answers

Answer: There is no way of finding out if the clock worked before then, and if it stopped at P.m or A.m.

Step-by-step explanation:

Let's say the robber broke the clock at 3 a.m, the police would first of all not have any idea if the clock was indeed broken before the robber knocked it over, and the clock has no way of saying whether it was broken at 3 a.m. or 3 p.m, therefore it's rendered useless.

Simplify. (x2+2x-4)+(2x-5x-3)​

Answers

Answer:

Step by Step Solution

More Icon

STEP

1

:

3

Simplify ——

x2

Equation at the end of step

1

:

3

((((2•(x2))-5x)-——)+2x)-3

x2

STEP

2

:

Equation at the end of step

2

:

3

(((2x2 - 5x) - ——) + 2x) - 3

x2

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x2 as the denominator :

2x2 - 5x (2x2 - 5x) • x2

2x2 - 5x = ———————— = ———————————————

1 x2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

2x2 - 5x = x • (2x - 5)

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (2x-5) • x2 - (3) 2x4 - 5x3 - 3

————————————————————— = —————————————

x2 x2

Equation at the end of step

4

:

(2x4 - 5x3 - 3)

(——————————————— + 2x) - 3

x2

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

5.1 Adding a whole to a fraction

Rewrite the whole as a fraction using x2 as the denominator :

2x 2x • x2

2x = —— = ———————

1 x2

Polynomial Roots Calculator :

5.2 Find roots (zeroes) of : F(x) = 2x4 - 5x3 - 3

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

I need help ASAP!!Explain the answer

Answers

Answer:

volume=pi times r^2 height÷3.

r is the radius, or in this case 4yd. height is 10yd. pi is 3.14

Here are the steps:

3.14r^2 height÷3

3.14×4^2 10÷3

=167.55

final answer rounded to the nearest tenth: 167.6

I apologize for getting the math wrong the first time. My formula was correct, but I needed to double check my calculations. I'm certain this is the right answer.

what numbers do u put up top when your doing 12,490 + 3,941

Answers

Answer:

12,490

+ 3,941

16431

Step-by-step explanation:


I’ll give brainlist to whoever is right!!!

Answers

Answer:  Choice C

(-19/2, -33/2)

=========================================================

Explanation:

We'll plug the second equation into the first one

In other words, we'll replace every copy of y with 3x+12 and solve for x

This is an example of the substitution rule.

x-y = 7

x-( y ) = 7

x - (3x+12) = 7

x - 3x - 12 = 7

-2x - 12 = 7

-2x = 7+12

-2x = 19

x = -19/2

Based on this alone, we can see the answer must be choice C. No other answer choice has this x coordinate.

-----------------------------------

If you want to find y based on this x value, then,

y = 3x+12

y = 3(-19/2)+12

y = -57/2 + 12

y = -57/2 + 24/2

y = (-57+24)/2

y = -33/2

This fully confirms choice C is correct.

So we have x = -19/2 and y = -33/2 pair up to get us (-19/2, -33/2)

In decimal form, this would be (-9.5, -16.5)

Answer:

3. (-19/3, -33/2)

You have to make a equation system :

[tex]\left \{{{x - y = 7} \atop { y = 3x + 12}} \right. <=> \left \{{{y = x - 7} \atop { y = 3x + 12}} <=> x-7 = 3x + 12 <=> 3x -x = -7 - 12 <=>[/tex] [tex]2x = -19 <=> x = -19/2[/tex]

Replacing x=-19/2 in the first equation (it's the easiest to solve) :

[tex]y = -19/2 - 7 <=> y =-19/2- 14/2 <=> y = -33/2[/tex]

IssaC is now x years old. Erika is 7 years older than Issac. In terms of how old was Erika 4 years ago ?

Answers

Answer:

Isaac = x

Step-by-step explanation:

Erika is 3y older than Isaac

Isaac is x years old

Answer:  x+3

Work Shown:

x = Issac's age right now

x+7 = Erika's age right now

(x+7)-4 = x+3 = Erika's age four years ago

Using the box-and-whisker plot shown, find the maximum, minimum, and median values.

Answers

Hi, I'm happy to help!

for a box an whisker plot, maximum and minimum values on the edge of the lines. The maximum shown here is 8, because the line ends there. The minimum is -8 because the line ends there.

The median value is shown by the middle line, which is 4.

To sum it up: Maximum: 8, Minimum: -8, Median: 4\

I hope this was helpful, keep learning! :D

Help pls! Gotta be done before I go to work :((

Answers

Answer:

A = 104 ft²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ are the parallel bases

Here h = 8, b₁ = 10 + 6 = 16, b₂ = 10 , then

A = [tex]\frac{1}{2}[/tex] × 8 × (16 + 10) = 4 × 26 = 104 ft²

Suppose a study finds that the correlation coefficient relating job satisfaction to salary is r=1. Which of the following are the proper conclusions?
I. High salary causes high job satisfaction.
II. Low salary causes low job satisfaction.
III. There is a very strong association between salary and job satisfaction.


I and II only

I, II and III

III only

I only

Answers

Answer:

its I, II and III.

Step-by-step explanation:

r values are from -1 to 1, if the value is 0 means there's no connection between values of variables, if its lower than 0, if the value of variable goes up the other goes down, if its higher than 0, than if one value of variable increases than the value of other variable increases too. the closer to 1 the stronger the association.

what are the coordinates of vertices of quadrilateral ABCD? use the coordinates to find the length of DA.
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Need help ASAP ???

Answers

We can conclude that the length of DA is 6.

For a quadrilateral defined as ABCD, the vertices of the quadrilateral are the points in the name, so the four vertices are the points A, B, C, and D.

These are given, so we know that the vertices are the points:

A(-5,-4)

B (1,4)

C(4,0)

D(1,-4)

Now we want to find the length of DA, this is the distance between points D and A.

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Then for the case of the points:

A (-5, -4) and D (1, -4)

the distance is given by:

[tex]d = \sqrt{(1 - (-5))^2 + (-4 - (-4))^2} = \sqrt{(1 + 5)^2} = 6[/tex]

Then we can conclude that the length of DA is 6.

If you want to read more, you can see:

https://brainly.com/question/12040665

1 bạn học sinh đi học từ nhà đến trường .Nửa đoạn đường đầu , bạn đi với vận tốc là 10km/h,nửa đoạn đường sau,bạn đi với vận tốc là 15km/h.Tính Vtb của bạn học sinh trên cả quãng đường?

Answers

Answer:

12km/h

Step-by-step explana:

Let's call the total distance 2a from which we can calculate t1 equivalent to the first half of the distance a/10 similar to t2 is a/15 from which the total time is a/6 . We have the average speed equal to the total distance dduowcngf divided by the total inferred time by 2a/(a/6) which equals 12km/h

Find the value of x in simular triangles

Answers

Answer:

the x value is 12

Step-by-step explanation:

similar triangles have proportionate sides,

20/ 15 = x/ 9, if you cross multiply this, then you get x= 12

compare the values of the 7s in the number 4,877,034

Answers

Answer:

4,877,034=70,000

4,877,034=7,000

Explanation:

Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that whilst a digit can be the same, its value depends on where it is in the number.

Hope this helps <3

Need thanks? Comment /hearthelp

Round 332.749 to:
tens
and
hundredths

Answers

Answer:

To the nearest ten, 330 would be the answer

To the nearest hundredth, the answer would be 332.75

Step-by-step explanation:

I'm not sure if you meant tenths or hundred, but let me know if this is right or wrong :)

How much cement is needed for a hole 0.4m wide and 1m long.

Answers

Answer:

its 80 meters longs

Step-by-step explanation:

if it is wrong just go look it up

Can someone answer this pls

Answers

Answer:

maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute

Step-by-step explanation:

maximum/minimum value is k and it occurs at x = h. If a > 0, then the parabola opens up, and it is a minimum functional value of f.

Sishsisbsushansjnsnsisjsbabajsuhsbshia

in a class ,ratio of the number of girls to boys is13:7 , find the percentage of boy​

Answers

I’m pretty sure it’s 35% of boys in the class cuz 13+7=20 which is the total number of students in the class and 20x.35=7

Victor owes a total of $44.00 to 4 different friends. If Victor owes each friend an equal amount, which
answer choice represents the change in Victor's money when he pays one friend?

Answers

Answer:

11

Step-by-step explanation:

Let x be the amount of money he owes his friends each.

4x = 44

Divide by 4 on each side

x = 11

when graphing y=-2x+10, is it a line that shows only one solution to the equation, all solutions, or shows the y-intercept?

Answers

Answer:

there is always a y-intercept in all graphs.

Step-by-step explanation:

be it a line graph, quadratic graph or cubic graph. all graphs will definitely have a y-intercept. and in this case, since y=mx + c where c is the y-intercept. the y intercept of this graph is 10

write each number as a reduced fraction or mixed number. A. 16/24 B. 15/24. C. 4%​

Answers

Answer:

A.1/3 B.5/8 C.1/25

Step-by-step explanation:

just simplify it down to the lowest

Answer:

Ä. 16/24 as reduced fraction = 2/3

B. 15/24 as reduced fraction= 5/8

please help me with this

Answers

Answer:

neither

Step-by-step explanation:

find the slopes of FG and HJ using the slope formula (y_2-y_1)/(x_2-x_1)

FG: (-1+3)/(-2-1)=2/-3=-2/3

HJ: (3-0)/(6-5)=3/1=3

perpendicular lines have slopes that are the negative reciprocal of each other. -2/3's negative reciprocal is 3/2 which isn't 3. the lines aren't parallel or perpendicular

What is the difference between-5 and 2

Answers

Answer:

7

Step-by-step explanation:

Going from -5 to 2 we get

1) -4

2) -3

3) -2

4) -1

5) 0

6) 1

7) 2

So, in total, there are 7 numbers between -5 and 2

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The ___________ of a set of numbers tells how much a value would be if the values were spread evenly among every number in the data set.
A. mode
B. range
C. mean
D. median

Answers

Think it’s range hope this helped
The median of a set of numbers…


What is the surface
area of a box in the
shape of a rectangular
prism with a length of 8
inches, width of 9 inches,
and height of 4 inches?

Answers

Answer:

Surface Area (S.A.) = 2(8x9 + 8x4 + 9x4)

Surface Area = 2(72 + 32 + 36)

Surface Area = 280

Hope this helps!

Answer:

Step-by-step explanation:

The formula for surface area for this kind of figure is

SA = 2*l*w + 2*l*h + 2*w*h

l = 8w=9h = 4

SA = 2*8*9 + 2*8*4 + 2*9*4

SA = 144 + 64 + 72 in^2

SA = 280 sqr inches


how do you solve this

Answers

Answer:

yo what concept is this

Step-by-step explanation:

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