En los siguientes problemas, reduce y expresa el resultado como un solo número escrito en
notación científica.
1) (6 000) (84 000 000) =
2) (3 x 10) (2 x 10 %) =
3) (9 x 10°) (3 x 10-) (6 x10³) =
4) (4 x 10) (3 x10-)² =
5) (9 X 10°)(8 X 10°)²=
4 X10-9
6) (5 x 10°) (8 x10¹4) =
7) 6x105 + 7x10¹ =
8) 9.54 x10-8-4.2 x10=

Answer:

Step-by-step explanation:

Let the numbers be x and y

HCF is 8, so both numbers are multiples of 8 ⇒ x = 8n, y = 8m

As per property of numbers, the product of numbers is equal to product of their LCM and HCF:

Since LCM(x,y) = 80 we have:

Possible option:

Then the numbers are:

Answer:

3/12 or 1/4

Step-by-step explanation:

To do this you can just increase the denominator by 1, at least for this question

3/11 is around 0.27, while 3/12 is 0.25. 2/11 is 0.19, which is smaller than 0.25, so

3/12 is a justificable answer.

Answer:

y=2/3x +5

hope this helps

Answer:

[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Explanation

[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]

[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]

[tex] \implies \: 9y - 27 = 6x + 18[/tex]

[tex] \implies \: 6x - 9y + 45=0[/tex]

[tex] \implies\:2x-3y+15=0[/tex]

Hence the equation of the line is

[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Answer:

$10

Step-by-step explanation:

Let the number of 30 day periods be x.

[tex]90-2x=70-1.5x \\ \\ 20=0.5x \\ \\ x=40[/tex]

When x=40, the value is 90-2(40)=$10.

The value of each card will be $ 10 after 40 periods, where the value of the first and second cards are equal.

Given data:

Let x represent the number of 30-day periods that have passed since the gift cards were obtained.

For the first gift card with $90 initial value and losing $2 for each 30-day period:

Value of the first card = Initial value - Loss per period * Number of periods

Value of the first card = $90 - $2 * x

For the second gift card with $70 initial value and losing $1.50 for each 30-day period:

Value of the second card = Initial value - Loss per period * Number of periods

Value of the second card = $70 - $1.50 * x

Now, to find when the two cards have equal value x:

Value of the first card = Value of the second card

$90 - $2 * x = $70 - $1.50 * x

On simplifying the equation:

$90 - $70 = $2 * x - $1.50 * x

$20 = $0.50 * x

x = $20 / $0.50

x = 40

After 40 periods of 30 days each, the two cards will have equal value.

Now, determine the value of each card at this point:

Value of the first card = $90 - $2 * 40 = $90 - $80 = $10

Value of the second card = $70 - $1.50 * 40 = $70 - $60 = $10

Hence, both cards will have a value of $10 when they have equal value after 40 periods.

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Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

g(x) = 1/2x - 11

g(x) = -5

Step 2: Solve for x

Answer: r=5%

Step-by-step explanation:

I=Prt

I/P=Prt/P

I/P=rt

I/(P*t)=rt/t

r=I/Pt

r=63/(420*3)

r=21*3/(420*3)

r=21/420

r=1/20

r=0.05

r=0.05 * 100%

r=5%

Answer:

9

Step-by-step explanation:

after the decimal point it go's tenths hundredths thousandths and so on

Answer:

55 i believe

28 + 27 = 55

Answer:

a = 7.4

Step-by-step explanation:

Since this is a right triangle, we will use the Pythagorean theorem:

c^2 = a^2 + b^2

28^2 = a^2 + 27^2

784 = a^2 + 729

55 = a^2

a = 7.4

Answer:

The answer is 51

Step-by-step explanation:

What you need to do here is assign a value of 3 to x, and output the value.  Let's see what we get:

[tex]5x^2 - x + 9\\5(3)^2 - (3) + 9\\5 * 9 + 6\\45 + 6\\51[/tex]

Answer:

8,250

Step-by-step explanation:

10 to the power of 2 is 100, move the decimal 2 spaces to the right.

Answer:

Hi, i think the answer would be the third option, 8,250.

Step-by-step explanation:

You do the exponents first in this equation according to the acronym PEMDAS. 10 to the second power is 100, so now you have

82.5 × 100

This would be equal to moving the decimal point two spaces to the right, giving us 8,250 as the answer

Answer:

21F

Step-by-step explanation:

15+6=21

Answer:

9y i can be rong

Step-by-step explanation:

Answer:

x^2 +14x+49

Step-by-step explanation:

The standard form of the polynomial (x+7)² is x² +14x+49.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The polynomial will be represented as,

E =  (x+7)²

E = x² +14x+49.

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Answer:

2+4y

Step-by-step explanation:

Answer:

That is;

{25,45,65}

Step-by-step explanation:

Here, we want to find the set of A n B

That is the set that contains values that are present in both sets A and B

Mathematically, that will be;

{25,45,65}

9514 1404 393

Answer:

  marked price = Rs. 3900

Step-by-step explanation:

The difference between the discounts is 30% -20% = 10% of the marked price. The difference in Rs is 120 -(-270) = 390. If Rs. 390 is 10% of the marked price, then the marked price is (Rs. 390)/(0.10) = Rs. 3900.

The marked price is Rs. 3900.

_____

Check

A 20% discount from 3900 is a price of 3120. If the profit is 120, the cost price is 3000. A 30% discount from 3900 is 2730. This is 270 below the 3000 cost price, so our answer is consistent with problem requirements.

The value of the expression of the composite function f(g(x)) = 4x^2 - 3

Expressions are mathematical statements that are represented by variables, coefficients and operators

The given parameters are:

f(x) = 4x + 1

g(x) = x^2 - 1

The composite function is given as

f(g(x)

The above composite function is calculated as

f(x) = 4x + 1

Substitute x for g(x) in the above function

So, the above function becomes

f(g(x)) = 4g(x) + 1

Substitute x^2 - 1 for g(x) in the above function

So, the above function becomes

f(g(x)) = 4(x^2 - 1) + 1

Evaluate the products in the above equation

So, we have

f(g(x)) = 4x^2 - 4 + 1

Evaluate the sum in the above equation

So, we have

f(g(x)) = 4x^2 - 3

Hence, the value of the composite function f(g(x)) = 4x^2 - 3

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Answer:

$16 for lunch

$4 for coffee

$12 left

Step-by-step explanation:

32/2 = 16

16 * 1/4 = 4

32 - (16 +4) = 12

Answer:

x=3,2i,-2i

Step-by-step explanation:

Answer:

6(1/4) or (25/4) pounds

Step-by-step explanation:

      1       1(1/4)  1(1/2)   1(3/4)          2

<-----|---------|---------|------------|-----------|---->

      X         X        X             X            X

      X         X                                      X

                  X

                  X

                  X

1(1/4) or (5/4)

(5/4) x 5 = 6(1/4) or 25/4 pounds

I hope this helps!

Answer:

-6

Step-by-step explanation:

Answer:

My career choice is anesthesiologist because they have the highest paying job, they have the knowledge to treat the entire human body, and they are qualified to give emergency medicine

Step-by-step explanation:

I hope you are satisfied

Answer:

Up 6 over 8, 6/8, or .75/100

Step-by-step explanation:

I'm not sure how to explain it but yeah I'm pretty sure this is it

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 0) ← 2 points on the line

m = [tex]\frac{0-2}{3-0}[/tex] = [tex]\frac{-2}{3}[/tex] = - [tex]\frac{2}{3}[/tex]

Answer:

-2/3

Step-by-step explanation:

The equation for slope is y2-y1 over x2-x1.

Or you can easily do rise over run.

Lets use the point (0,3.) So, we want to calculate slope, but the only other direct point is (0,2) so lets also use that.

If we start at the point (0,2) and go down 2 units, we just have to go over 3 units to get to (0,3) so thats convienient.

The rise is the -2 units, since you go down 2 units to get to the second point. You also have to run 3 units over to get to the second point.

The run is 3, and the rise is -2.

Rise over run

-2 (rise) over 3 (run)

-2/3

-2/3 is the slope.

Hope this helps!

Answer: -7

Step-by-step explanation:

trust me

Answer:

A) -7

Step-by-step explanation:

Simplify the expression.

-4/5 (x-3)= 1/2 (-2x+2)

-4/5 ((-7)-3)= 1/2 (-2(-7)+2)

8=8

Answer:

6

Step-by-step explanation:

Answer:

fdsvStep-by-step explanation:

Answer:

[tex]hey \: its \: easy[/tex]

(1) Square of 5 = 5 × 5 = 25

(2) Square of 10 = 10 × 10 = 100

(3) Square of 16 = 16 × 16 = 256

(4) Square of 25 = 25 × 25 = 625

(5) Square of 110 = 110 × 110 = 12100

like this you can also find it

hope it helps

pls mark as brainliest

Answer:

Step-by-step explanation:

You have to figure out what has to multiply by itself to get to that number.

So for example, 121. The square root is more than 10 because 10 times 10 equals 100. It's less than 15 because 15 times 15 is a little over 200. If you have your multiplication tables memorized, you'd know that 11 multiplied by itself is 121. Therefore, the square root to 121 is 11. Hope this helps! (: