which is bigger 0.5 or 9%​

Answer:

-29

Step-by-step explanation:

subtract the negative from positve

Answer:

a. \(\tt \frac{1}{9}\)

b. \(\frac{1}{16}\)

c. 4

Step-by-step explanation:

\(\tt a. \:3^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:

\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)

\(\hrulefill\)

\(\tt b.\: -2^{-4}\)

We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:

\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)

\(\hrulefill\)

\(\tt c. \:(\frac{1}{2})^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:

\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)

Answer:

Step-by-step explanation:

(a) 3^-2 = 1/9

(b) (-2)^-4 = 1/(-2)^4 = 1/16

(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4

Check the picture below.

\(3x+5=\cfrac{260-100}{2}\implies 6x+10=160\implies 6x=150 \\\\\\ x=\cfrac{150}{6}\implies x=25\hspace{9em}\stackrel{\measuredangle ABC}{3(25)+5}\implies 80^o\)

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.

One possible set could be 3 cm, 4 cm, and 5 cm.

To verify if this set forms a right triangle, we can apply the Pythagorean theorem.

Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.

Adding these two values together gives us 25.

Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.

It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.

There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.

These sets are known as Pythagorean triples.

Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.

In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

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The value of your conclusion would be:

⇒ There is sufficient evidence to warrant rejection of the original claim

We have to given that;

For your claim is in the alternative hypothesis and you reject the null hypothesis.

Hence, We know that;

If your claim is in the alternative hypothesis and you reject the null hypothesis, There is sufficient evidence to warrant rejection of the original claim

Thus, The correct option is, B.

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Answer:

Your answer is -6

Step-by-step explanation:

Answer: y=-1/8x-2

Step-by-step explanation:

Given the slope, we can start to fill out the slot-intercept form equation.

y=-1/8x+b

We don't know the value of b, but we can plug in the given point to solve for b.

-3=-1/8(8)+b

-3=-1+b

b=-2

Now that we know b, we can finish our slope-intercept equation.

y=-1/8x-2

Answer:g(x)=-4^2+4x-5

Step-by-step explanation:

Answer:  It take 6.66 min to complete one lap.

Answer:

Perimeter of figure is 31.85 inches

Step-by-step explanation:

We have a rectangle and semi-circle in the figure.

First we will find perimeter of rectangle and semicircle and add them to find perimeter of rectangle.

First find perimeter of rectangle

The formula used is: \(Perimeter\: of\: rectangle=2(length+width)\)

We have width = 7 in

length = 5 in

The perimeter is:

\(Perimeter\: of\: rectangle=2(length+width)\\Perimeter\: of\: rectangle=2(5+7)\\Perimeter\: of\: rectangle=2(12)\\Perimeter\: of\: rectangle=24\:in\)

The perimeter of rectangle = 24 in

Now, finding perimeter of semi-circle

The formula used is: \(Perimeter\: of\: semi-circle=\frac{\pi d}{2}\)

Wee have diameter d = 5 in

So, perimeter is:

\(Perimeter\: of\: semi-circle=\frac{\pi d}{2}\\Perimeter\: of\: semi-circle=\frac{3.14\times 5}{2}\\Perimeter\: of\: semi-circle=7.85\:in\)

So, Perimeter of semi-circle= 7.85 in

Now, finding Perimeter of figure

Perimeter of figure = Perimeter of Rectangle + Perimeter of semi-circle

Perimeter of figure = 24 + 7.85

Perimeter of figure = 31.85 inches

So, Perimeter of figure is 31.85 inches

Answer:

1. Prepare the journal entries to close your temporary accounts.

the journal entries required to close the temporary accounts are:

December 31, 2019, closing of temporary revenue accounts

Dr Fees earned 136,000

    Cr Income summary 136,000

December 31, 2019, closing of temporary expense accounts

Dr Income summary 88,200

    Cr Salaries expense 66,000

    Cr Rent expense 14,200

    Cr Supplies expense 1,600

    Cr Depreciation expense 4,000

    Cr Utilities expense 2,400

December 31, 2019, closing of temporary income summary account

Dr Income summary 88,200

    Cr Retained earnings 88,200

December 31, 2019, closing of drawings account

Dr Retained earnings 10,000

    Cr Sean McCann, Drawing 10,000

2. Prepare an income statement and a statement of owner’s equity for the year ended December 31, 2019 and a classified balance sheet as of December 31, 2019.

          Sean McCann, CPA

            Income Statement

For the Year Ended December 31, 2019

Fees earned                                 $136,000

Salaries expense                         ($66,000)

Rent expense                               ($14,200)

Supplies expense                          ($1,600)

Depreciation expense                  ($4,000)

Utilities expense                           ($2,400)

Net income                                   $47,800

retained earnings = net income - drawings = $47,800 - $10,000 = $37,800

                     Sean McCann, CPA

                          Balance Sheet

         For the Year Ended December 31, 2019

Assets

Current assets:

Cash                                    $33,800

Accounts receivable          $28,000

Supplies                                $7,000

Total current assets                       $68,800

Non-current assets:

Equipment                         $130,000

Accumulated dep. (equip)-$32,000

Total non-current assets               $98,000

Total assets                                                    $166,800

Liabilities and equity

Current liabilities:

Accounts payable             $10,600

Salaries payable                $6,000

Total current liabilities                    $16,600

Long term liabilities:

Mortgage payable            $6,400

Total long term liabilities:                $6,400

Equity

Sean McCann, capital    $106,000

Retained earnings           $37,800

Total equity                                   $143,800

Total liabilities and equity                            $166,800

            Sean McCann, CPA

      Statement of Owner’s Equity

For the Year Ended December 31, 2019

Sean McCann, capital 1/1/19         $106,000

Net income                                     $47,800

Subtotal                                         $153,800

Drawings during the year             -$10,000

Sean McCann, capital 1/1/19         $143,800

The answer to x in the similar triangles is (a) x = 8

From the question, we have the figure that can be used in our computation:

In the figure, we can see that the shapes are triangles

These triangles are similar triangles

On these equivalent triangles, we have the following ratios:

10 : 22 = 3x + 1 : 7x - 1

Express as fractions

This gives

10/22 = 3x + 1/7x - 1

Simplify

5/11 = 3x + 1/7x - 1

Cross multiply

5(7x - 1) = 11(3x + 1)

Open the brackets

35x - 5 = 33x + 11

Evaluate the like terms

2x = 16

Divide by 2

x = 8

Hence, the value of x is 8

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Answer:

Step-by-step explanation:

Step one:

given

Let the number of tests graded be g = 27

time taken t = 3 hours

Required

The constant relating the time and the number of tests

Step two:

"The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another."

so that the direct variation is

g∝kt

g=t/k

k= g/t

k=27/3

k=9

Answer:

9

Step-by-step explanation:

Since you know that there are 27 tests every three hours then you can divide 27 by 3 to get the constant variation or "test per hour". So then, 27 divided by 3 is 9.

Answer:

find H.c.f and l.c.m

x^2+3x+2 ,x^2+4x+4 and x^2-4

There are zero possible triangles.

There are basically six different types of triangles with respect to the length and measure of the lines and angles of a triangle, respectively.

In general, there will be 0 or 2 potential triangles if the supplied angle is opposite the shorter of the two specified sides.

If the sides-to-angle ratio is smaller than the sine of the angle, then there are no triangles that could possibly exist. There are two possible triangles if the ratio of sides is higher. There is only one feasible triangle if the specified angle is opposite the longer of the two given sides. If the specified angle is between the two given sides, the same holds true.

Here, 32/65 ≈ 0.4923

sin(79°) ≈ 0.9816.

The ratio of sides is smaller, so there are zero possible triangles.

Thus, the number of triangles ABC possible with the given parts is zero.

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Answer:

basically put a circle in the middle that's going to be your origin and plot the points on the x and y coordinates

Step-by-step explanation:

hope this helps a little have a good day/night :)

The total cost of downloading 20 songs is $45.

The total cost of downloading ss songs is $11 + $1.0ss.

What does the word "cost" mean?

During the manufacturing or production of a company's goods and services, every expense incurred by the company is referred to as a cost.

                            In simplest terms, it is the amount of money that businesses invest in buying and selling goods.

The total cost of the of downloading songs is the sum of the fee per month and the cost of downloading songs.

Total cost of downloading 45 songs = cost per month x cost of downloading 45 songs

$11 + ($1 x 45)

$11 + $45

$56

Total cost of downloading ss songs = $11 + ($1 x ss)

$11 + $1ss

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The football is approximately 96.4 feet from the base of the goal post.

The tangent function in trigonometry is used to determine the proportion between the lengths of the adjacent and opposite sides in a right triangle. Where theta is the angle of interest, the tangent function is defined as:

tan(theta) = opposing / adjacent.

When the lengths of one side and one acute angle are known, the tangent function is used to solve for the unknown lengths or angles in right triangles. In order to utilise the tangent function, we must first determine the angle of interest, name the triangle's adjacent and opposite sides in relation to that angle, and then calculate the ratio of those sides using the tangent function.

Given, the angle of elevation is 16 degrees 42'.

That is,

Angle of elevation = 16 degrees 42' = 16 + 42/60 = 16.7 degrees

Using tangent function we have:

tan(16.7) = 30/x

x = 30 / tan(16.7)

x = 96.4 feet

Hence, the football is approximately 96.4 feet from the base of the goal post.

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Answer:

z(3-8xy+4x^2y^2)

9514 404 393

Answer:

Step-by-step explanation:

We are told that the costs add up this way:

  trip cost = bus rental + 2 × (cost of play)

Given that ...

The above equation can be rewritten as ...

  65 = 10 + 2x . . . . . . the desired equation

__

Solving for x, we have ...

  55 = 2x . . . . subtract 10

  27.50 = x . . . . divide by 2

The cost of one play is $27.50.

Answer:

7. 4^2 = 6

8. 7^2 = 49

9. 6^4 =1296

10. 1^2 = 1

11. 5^3 =125

12. 1^3 =1

Step-by-step explanation:

Answer:

3.9 pints

Step-by-step explanation:

Given:

Caroline uses 6.5 pints of blue paint and white paint to paint her bedroom walls.

2/5 of this amount is blue paint, and the rest is white paint.

To find :

How many pints of white paint did she use to paint her bedroom walls?

Solution:

Caroline uses pints of blue paint and white paint = 6.5                                                  

Amount of blue paint = 6.5 - 2.6 = 3.9 pints

Therefore, 3.9 pints of white paint she used to paint her bedroom walls.

Answer: d is the answer

Step-by-step explanation: because if you do your math correctly it comes out to be 21/24

Answer:

y=-1/2x+7

Step-by-step explanation:

I think its that

Answer:

y = (1/2) x + 3

Step-by-step explanation:

The equation of linear functions is y = m x + b

In this case, we know m = 1/2 , and have point (4,5). We only need to find our y-intercept or b value.

What we can do is substitute what we know into our formula which will give us variable b, or the y-intercept. That will look like:

5 = (1/2) * 4 + b

5 = 2 + b

3 = b

So, the equation is y = (1/2) x + 3 :)

Answer:

x = -1

y = 3

Step-by-step explanation:

y + 2x = -1

y = 1/2x + 4

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

1/2x + 2x + 4 = -1

2 1/2x + 4 = -1

2 1/2x = -1 - 4

2 1/2x = -5

x = -5 / 2 1/2

x = -2

y + 2x = -1

y + 2(-2) = -1

y - 4 = -1

y = -1 + 4

y = 3