(a) Write the next whole number after 222three in the base-three system.

Answer:

511 million km²

Step-by-Step Explanation:

Let the total surface area of the Earth be x.

Water covers 70.7% of the total surface area of the Earth, i.e.,

70.7% of x = 3.61 x 10⁸ km²

or, 70.7x /100 = 3.61 x 10⁸ km²

or, 707x/1000 = 3.61 x 10⁸ km²

or, 707x = 3.61 x 10⁸ x 1000km²

or, 707x = 3.61 × 10^11 km²

or, x = 0.0051 × 10^11 km²

or, x = 5.1 × 10⁸ km² = 511 million km²

Hope it helps.

If you have any query, feel free to ask .

Answer:

511 million km²

Step-by-step explanation:

Let x be the approximate total surface area of the Earth.

Given water covers 70.7%, or about 3.61 × 10⁸ km², set up an equivalent ratio of percent (in decimal form) to area:

\(\implies 0.707:3.61 \times 10^8=1:x\)

Solve for x:

\(\implies\dfrac{0.707}{3.61 \times 10^8}=\dfrac{1}{x}\)

\(\implies0.707x=3.61 \times 10^8\)

\(\implies x=\dfrac{3.61 \times 10^8}{0.707}\)

\(\implies x=\dfrac{3.61 }{0.707}\times 10^8\)

\(\implies x=5.10608203...\times 10^8\)

One million has 6 zeros and can be written in scientific notation as:

Therefore, to write x in millions as x × 10⁶, subtract 2 from the exponent and move the decimal point to the right by 2 places:

\(\implies x=510.608203...\times 10^6\)

Therefore, the approximate surface area of the Earth is 510.608203... million km², which is 511 million km² to the nearest million.

Answer:

A-560

B-5600

Step-by-step explanation:

to find the answer for A we need to divide 3360 by 6 which gives us 560.

check: 560 x 6 = 3360

To find the answer for B we need to multiply the answer for A (560) by 10 which gives us 5600

Answer:

A- the question asks the speed and  the speed formula is speed=distance÷time. So 3360÷6=560 mph

B- At this rate means at this constant speed which is 560 mph, how many miles can it travel in 10 hours. We will rearrange the speed formula to find the distance. distance=speed×time. So 560×10=5600 miles.

Step-by-step explanation:

Answer:

\(m = -j\), or in this case, \(m=-(-7)\)

Step-by-step explanation:

Assuming that Justine's score is represented by \(j\) and Meagan's score is represented by \(m\), we know that \(j\) will always be the opposite of \(m\).

To represent opposite, we put a negative sign before the variable.

This makes the current number, even if it's negative, the opposite value.

Let's test it out.

Since Justine's score is -7, substituting it into the equation makes it  \(m=-(-7)\). We know that two negatives make a positive, so \(m=7\).

Now let's assume Justine's score is 7. Plugging it into the equation, we get \(m=-(7)\). That's the same thing as \(m = -1(7)\), and -1 times 7 is -7.

Hope this helped!

a) The organization of ledger accounts under an accounting equation and journal entries are as follows:

                         Assets                               =  Liabilities + Equity

            Cash +   Inventory + A/Receivable                    C.Stock  R/Earnings

1.       $43,000                                                                 $43,000

2.       -28,000   $28,000

3.                                                $42,000                                          42,000 S/Revenue

4.                        -20,000                                                                  -20,000 COGS

5.        37,000                            -37,000

6.        -9,800                                                                                     -9,800 Op Exp.

Bal. $42,200      $8,000           $5,000                      $43,000    $12,200

Debit Cash $43,000

Credit Common Stock $43,000

Debit Inventory $28,000

Credit Cash $28,000

Debit Accounts Receivable $42,000

Credit Sales Revenue $42,000

Debit Cost of goods sold $20,000

Credit Inventory $20,000

Debit Cash $37,000

Credit Accounts Receivable $37,000

Debit Operating expenses $9,800

Credit Cash $9,800

b1)

Jana's Flowers

For the year ended December 31, Year 1

Sales Revenue           $42,000

Cost of goods sold    $20,000

Gross profit                $22,000

Operating expenses   $9,800

Net income                $12,200

b2) Jana's Flowers

December 31, Year 1

Cash                           $42,200

Accounts Receivable  $5,000

Inventory                     $8,000

Total assets             $55,200

Common Stock        $43,000

Retained Earnings      12,200

Total equity            $55,200

b3) Jana's Flowers

For the year ended December 31, Year 1

Net income                $12,200

Changes in working capital:

Accounts Receivable  (5,000)

Inventory                      (8,000)

Operating cash flow     ($800)

Financing activities:

Common Stock       $43,000

Cash flows              $42,200

c) I do not agree with this statement.  It does not necessarily flow that Jana selling $42,000 in goods will be able to recover more than half of the $43,000 she invested in her business.  So far, she has made $12,200 from her investment.

Cash $43,000 Common Stock $43,000

Inventory $28,000 cash $28,000

Accounts Receivable $42,000 Sales Revenue $42,000

Cost of goods sold $20,000 Inventory $20,000

Cash $37,000 Accounts Receivable $37,000

Operating expenses $9,800 Cash $9,800

Thus, it will take time for Jana to recover her investment in the business.

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Answer:

y= -4

Step-by-step explanation:

To find the value of y when x = 6, we can substitute x = 6 into the equation and solve for y:

4(6) + y = 20

24 + y = 20

y = 20 - 24

y = -4

Therefore, when x = 6, y is equal to -4.

Answer:

314.16 in²

Step-by-step explanation:

Answer:

\(A\) ≈ \(314.16\)

Step-by-step explanation:

\(A=\pi r^2\)

\(A = \pi (10)^2\)

\(A = \pi (100)\)

\(A\) ≈ \(314.16\)

Answer:

9

Step-by-step explanation:

      - Plug the values into the distance formula.

√(x2 - x1)² + (y2 - y1)²

√[2 - (-7)]² + [-8 - (-8)]²

√(9)² + (0)²

√81

= 9

To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.

Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:

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Answer:true

Step-by-step explanation:

2000 = 20x100

Answer:

0

Step-by-step explanation:

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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The number of people that nare expected to vote in the election is 260,000. people.

Simply put, a fraction is a portion of a whole. Mathematically, the number is represented as a quotient with split numerator and denominator. The numerator and denominator of a simple fraction are both integers. On the other hand, a complex fraction has a fraction in either the numerator or the denominator.

In this situation, the pre-election survey showed that two out of every three eligible voters would cast ballots in the county election and there are 390,000 eligible voters in the county.

The number of people expected to vote will be:

= Fraction of expected voters × Total number of people

= 2/3 × 390000

= 2 × 130000

= 260000

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Answer: (6,11π/6).

Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so

because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.

So the final answer is (6,11π6).

We raise the fraction to the power of 4/3.

To evaluate the expression:

\left( \frac{16}{9} \right)^{2/3} \cdot \left( \frac{4}{3} \right)^{4/3} \cdot \left( \frac{9}{16} \right)^{2/3} \cdot \left( \frac{3}{4} \right)^{4/3},

we can simplify each term within the parentheses before multiplying them together.

Let's simplify each term step by step:

\left( \frac{16}{9} \right)^{2/3}:

To simplify this term, we raise the fraction to the power of 2/3.

\left( \frac{16}{9} \right)^{2/3} = \left( \left( \frac{2^4}{3^2} \right)^{1/3} \right)^2 = \left( \frac{2^{4 \cdot 1}}{3^{2 \cdot 1}} \right)^2 = \left( \frac{2^4}{3^2} \right)^2 = \left( \frac{16}{9} \right)^2 = \frac{16^2}{9^2} = \frac{256}{81}

\left( \frac{4}{3} \right)^{4/3}:

Similarly, we raise the fraction to the power of 4/3.

\left( \frac{4}{3} \right)^{4/3} = \left( \left( \frac{2^2}{3^1} \right)^{1/3} \right)^4 = \left( \frac{2^{2 \cdot 1}}{3^{1 \cdot 1}} \right)^4 = \left( \frac{2^2}{3^1} \right)^4 = \left( \frac{4}{3} \right)^4 = \frac{4^4}{3^4} = \frac{256}{81}

\left( \frac{9}{16} \right)^{2/3}:

We raise the fraction to the power of 2/3.

\left( \frac{9}{16} \right)^{2/3} = \left( \left( \frac{3^2}{2^4} \right)^{1/3} \right)^2 = \left( \frac{3^{2 \cdot 1}}{2^{4 \cdot 1}} \right)^2 = \left( \frac{3^2}{2^4} \right)^2 = \left( \frac{9}{16} \right)^2 = \frac{9^2}{16^2} = \frac{81}{256}

\left( \frac{3}{4} \right)^{4/3}:

We raise the fraction to the power of 4/3.

\left( \frac{3}{4} \right)^{4/3} = \left( \left( \frac{3^1}{2^2} \right)^{1/3} \right)^4 = \left( \frac{3^{1 \cdot 1}}{2^{2 \cdot 1}} \right)^4 = \left( \frac{3^1}{2^2} \right)^4 = \left( \frac{3}{4} \right)^4 = \frac{3^4}{4^4} = \frac{81}{256

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A translation of the sentence "Product of 3 and the cube of h increased by one-ninth is 1​" is

In order to translate a word sentence into an algebraic equation, we would have to assign a variable to the unknown number:

Let the variable n represent the unknown number.

By translating the word sentence into an algebraic expression, we have the following;

The product of 3 and the cube of h should be represented by the following algebraic expression;

3 × h³

Next, we would increase the above algebraic expression by one-ninth (1/9) and then equate to 1 as follows;

(3 × h³) + 1/9 = 1

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Complete Question:

Write an equation to represent the following word sentence;

Product of 3 and the cube of h increased by one-ninth is 1​.

Answer:

23552

Step-by-step explanation:

23, 92, 368...   is a geometric sequence.

first term = a = 23

common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4

nth term = \(ar^n^-^1\)

6th term = \(23*(4)^6^-^1\)

\(=23*4^5\)

\(=23*1024\)

\(=23552\)

Hope this helps :)

Pls brainliest...

The Operating income is $172,500.

To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.

a. Margin of Safety:

Margin of Safety = Actual Sales - Break-even Sales

Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:

Margin of Safety = $1,100,000 - $750,000 = $350,000

Therefore, the margin of safety is $350,000.

b. Margin of Safety as a Percentage of Sales:

Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100

Using the values from the previous calculations:

Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%

Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.

c. Contribution Margin Ratio:

Contribution Margin Ratio = (Contribution Margin / Sales) * 100

To calculate the contribution margin, we need to subtract variable costs from sales:

Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000

Using the values, we can calculate the contribution margin ratio:

Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%

Therefore, the contribution margin ratio is approximately 41.36%.

d. Operating Income:

Operating Income = Sales - Variable Costs - Fixed Costs

Using the values provided:

Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500

Therefore, the operating income is $172,500.

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Answer:

...

Step-by-step explanation:

Answer:

y = 3/5x + 4/5 (1st Option)

Step-by-step explanation:

Step 1: Write known variables

m = 3/5

y = 3/5x + b

Step 2: Find b

-1 = 3/5(-3) + b

-1 = -9/5 + b

b = 4/5

Step 3: Rewrite equation

y = 3/5x + 4/5

Answer:

in short it's y = 3/5x + 4/5

good luck!

-Rainbow Dash

The equation is rewritten in slope-intercept form as y = -3x + 5.

Slope = -3; y-intercept = 5.

The equation of any given line, when written in the slope-intercept form is expressed as y = mx + b, where:

Given the equation in standard form as 6x + 2y = 10, rewrite the equation in slope-intercept form as explained in the steps below:

6x + 2y = 10

2y = -6x + 10 [subtraction property of equality]

Divide both sides by 2

2y/2 = -6x/2 + 10/2

y = -3x + 5

The equation is y = -3x + 5, Destinee didn't rewrite the equation correctly because he subtracted 2y from both sides rather.

The slope of y = -3x + 5 is -3.

The y-intercept of the equation is 5.

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Answer:

42 units

Step-by-step explanation:

Area of a trapezoid is always 1/2(b1+b2)*h

so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42

Answer:

4

Step-by-step explanation:

30 + 20 + 13 = 63, + fractions = 64. But you have to divide to get to pounds. So 64 / 16 = 4

YAY

The z-score of -1.6 is less than 2.00 but greater than -2.00.

Hence, we can conclude that the value is not unusual.

The correct answer is: -1.6; not unusual.

When we are given a test score of 48.4 on a test that has a mean of 66 and a standard deviation of 11,

we need to find the corresponding z-score and determine whether the value is unusual or not.

The formula for calculating z-score is:

z = (x - μ) / σ

Where, z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

Substituting the given values in the formula, we get: z = (48.4 - 66) / 11z = -1.6

Therefore, the z-score corresponding to the given value is -1.6.

Now, we need to determine whether this value is unusual or not.

A score is considered unusual if its z-score is less than -2.00 or greater than 2.00.

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" the quotient " means divide

(n/6) - 1 <== ur expression

Answer:

C

Step-by-step explanation:

I think it is C because if you do 4+5+2=11 so, everyone answer.

A) 4(5+2)=28

B) 4x5x2=40

C) (4+5)+2=11

D) (4+5)+(4+2)=15

so, i think it is C

Answer:

C. x=2 ± √13

Explanation:

From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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Answer:

a. a reflection only

c. a rotation and a reflection

d. a translation and a reflection

Step-by-step explanation:

just took the test

Answer:

look at the screen shot :)

Step-by-step explanation: