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4 years ago

1. Write 3,876,943,000 using scientific notation.

Mathematics

1 answer:

Sunny_sXe [5.5K]4 years ago

8 0

Answer:

3.876943x10^9

7.317x10^-4

Step-by-step explanation:

3,876,943,000

Put the decimal at the end

3,876,943,000.

Move it so only 1 number is before the decimal

3.876943000

We moved it 9 places, so that is the exponent

We moved it to the left, so the exponent is positive

The three zeros at the end can be dropped because they are the last numbers to the right of the decimal

3.876943x10^9

0.0007317

Move it so only 1 number is before the decimal

00007.317

We moved it 4 places, so that is the exponent

We moved it to the right, so the exponent is negative

The four zeros at the left can be dropped because they are the last numbers to the left of the whole number

7.317x10^-4

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Solve for K 2(k - 5) + 3k = k + 6

Alexandra [31]

Answer:

k = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

2(k - 5) + 3k = k + 6

Step 2: Solve for k

Distribute 2: 2k - 10 + 3k = k + 6
Combine like terms: 5k - 10 = k + 6
Subtract k on both sides: 4k - 10 = 6
Add 10 on both sides: 4k = 16
Divide 4 on both sides: k = 4

Step 3: Check

Plug in k into the original equation to verify it's a solution.

Substitute in k: 2(4 - 5) + 3(4) = 4 + 6
(Parenthesis) Subtract: 2(-1) + 3(4) = 4 + 6
Multiply: -2 + 12 = 4 + 6
Add: 10 = 10

Here we see that 10 does indeed equal 10.

∴ k = 4 is the solution to the equation.

3 0

3 years ago

Passing through the points (6,8) & (9,6)

grigory [225]

Slope-intercept form: y = mx + b [m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y) or the point where the line crosses through the y-axis]

To find the slope, use the slope formula (m):

$m=\frac{y_2-y_1}{x_2-x_1}$ and plug in the two points

(6, 8) = (x₁, y₁)

(9, 6) = (x₂, y₂)

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{6-8}{9-6}$

$m=\frac{-2}{3}$ Now that you found the slope, plug it into the equation

y = mx + b

$y=-\frac{2}{3} x+b$ To find b, plug in one of the points, I will use (6, 8)

$8=-\frac{2}{3} (6)+b$

8 = -4 + b Add 4 on both sides

12 = b Now plug in b into the equation

$y=-\frac{2}{3} x+12$

5 0

3 years ago

PLEASE HELP. DO IT GOOD AND CORRECTLY PLEASEE.

Montano1993 [528]

Part A) $520

Part B) 13.33% - Divide 520 by 39

Part C) $20.80 Divide 520 by 100, then multiply by 4

You're Welcome

4 0

3 years ago

Sylvia has 51.78 pounds of dirt . She has 20 buckets and would like to put 2.56 pounds of dirt into each bucket .Are there enoug

Zina [86]

Answer:

No there is not enough buckets.

3 0

3 years ago

Can a regular polygon have an interior angle of 132 degrees?

mash [69]

Given:

The interior angle of a regular polygon is 132 degrees.

To find:

The given statement is possible or not.

Solution:

Let as assume the interior angle of a regular polygon with n vertices is 132 degrees.

Then, the exterior angles are

$180^\circ-132^\circ=48^\circ$

We have, n vertices. So, the number of exterior angles is n.

Sum of all exterior angles = 48n degrees

We know that, sum of all exterior angles of a regular polygon is always 360 degrees.

$48n=360$

$n=\dfrac{360}{48}$

$n=7.5$

Number of vertices is always a whole number. So, it cannot be a fraction value.

So, our assumption is wrong.

Therefore, a regular polygon cannot have an interior angle of 132 degrees.

3 0

3 years ago