Evaluate } 3² · 3⁻⁵ / 4⁻²
16/27
27/16
16/59,049
59,049/16

Answer:

98.3% or 98% if your doing sig. figs.

Step-by-step explanation:

you take 14.75 (the approximated) and divide it by the actual 15

Answer:

Triangle PQR maps onto triangle KLM. This is possible because △PQR ≅ △KLM by ASA, and one congruent figure can be mapped onto another using rigid motions.

Step-by-step explanation:

For the first blank, we are given congruence statements for 1 side on each triangle and their two adjacent angles. This means we can use the Angle-Side-Angle theorem to declare △PQR and △KLM congruent.

For the second blank, we know that rigid transformations do not change the figure, they simply move its position on a plane, so this is the correct answer; had the △PQR and △KLM not been congruent, a non-rigid transformation would have to have occured, but this is not the case here.

Answer:

Step-by-step explanation:

Given triangles PQR and KLM with QR ≅ LM, ∠Q ≅ ∠L, and ∠R ≅ ∠M, you want to know the applicable congruence postulate and whether the triangles are mapped to each other by rigid or non-rigid motion.

The segment QR has angle Q at one end and angle R at the other end. That means the side lies between the two angles. Likewise, segment LM lies between angles L and M.

When claiming congruence of these triangles, the appropriate postulate is the one that refers to the geometry with the congruent side between the congruent angles: ASA.

"Rigid" motion is motion that preserves angle and length measures. By contrast, "non-rigid" motion may involve stretching or compression in one or more directions. It may or may not preserve angles or lengths.

Congruence is about showing that angles and lengths are the same from one figure to another. If you want to map congruent figures to each other, you must do so using rigid motion.

__

Additional comment

The rigid motions include ...

<95141404393>

Answer:

x=8/7

Step-by-step explanation:

16+7/x=24

Subtract 16 on each side

7/x=8

multiply 1/7 on each side

x=8/7

Answer:5/5

Step-by-step explanation:

5 divided by 5 is 1

Answer:

This is a problem of weighted averages and can be solved with a system of equations.

Let's define:

- `x` as the amount (in lbs) of the cheaper chocolate,

- `y` as the amount (in lbs) of the expensive chocolate.

We can set up the following equations:

1. `x + y = 62.4` (the total amount of chocolate we want)

2. `$2.10x + $9.90y = $2.40 * 62.4` (the total cost of the chocolate mixture)

The second equation represents the total value of the chocolate, while the first represents the total weight.

We can solve this system of equations using substitution or elimination. In this case, it may be simpler to use elimination.

Let's first transform the second equation to get rid of the dollar signs:

2.10x + 9.90y = 2.40 * 62.4

2.10x + 9.90y = 149.76

Let's now multiply the first equation by 2.10 (the price per lb of the cheaper chocolate):

2.10x + 2.10y = 2.10 * 62.4

2.10x + 2.10y = 131.04

Subtracting the second equation (multiplied) from the original second equation, we get:

9.90y - 2.10y = 149.76 - 131.04

7.80y = 18.72

Solving for y, we get:

y = 18.72 / 7.80 = 2.4 lbs

Substituting y = 2.4 into the first equation:

x + 2.4 = 62.4

x = 62.4 - 2.4 = 60 lbs

So, you will need 60 lbs of the cheaper chocolate and 2.4 lbs of the expensive chocolate to obtain the desired mixture.

According to SAS congruent the △abc congruent △def. Thus using the given information, it can be prove.

What is congruent?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

There are four rules to prove congruency. They are SAS, AA, ASA, and SSS.

Given that ∠c ≅ ∠f

ab ≅ de

bc ≅ ef.

According to SAS rule, if two sides and one angle of a triangle is equal to two sides and one angle of another triangle, they the triangle are congruent.

Here two sides and one angle of △abc  is congruent of two sides and one angle of △def.

Therefore △abc congruent △def.

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The length of the MN is 9.4.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle NML.

NL = 12

Sin 51 = NM / NL

0.78 = NM / NL

MN = 0.78 x NL

MN = 0.78 x 12

MN = 9.36

Rounding to the nearest tenth.

MN = 9.4

Thus,

MN is equal to 9.4.

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The value of h in the statement one-seventh plus h equals nine sevenths

is 8/7.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The main concept of numerical expression is to interpret the data and convert it into numbers and their operations.

The given statement one seventh plus h equals nine sevenths can be numerically expressed as (1/7) + h = (9/7).

h = 9/7 - 1/7.

h = (9 - 1)/7.

h = 8/7.

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The equations are x+y=50 and 7x + 12y = 450

x = the number of mirrors = 30

y = the number of pouches = 20

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Let x be the number of mirrors

Let y be the number of pouches

x+y=50......(1)

Each mirror is $7

cost of x mirrors = 7x

Each pouch is $12.

cost of y pouches = 12y

7x + 12y = 450 .........(2)

(1) => x=50-y ...........(3)

Substitute (3) into (2)

(2) =>  7(50-y)  + 12y = 450

          350 - 7y + 12y = 450

               5y = 450 -   350 = 100

                 y= 100/5 = 20

(1) => x = 50 - 20 = 30

Thus,  x = the number of mirrors = 30

          y = the number of pouches = 20

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Answer:

1 7/19

Step-by-step explanation:

First, to solve this problem, you change the mixed fraction to improper fractions:

13/3 / 19/6

Now, you make it into a multiplication problem by multiplying the first number by the reciprocal of the second number.

13/3 x 6/19

Simplify :

13/1 x 2/19

Multiply the numerators by denominators to get the total:

26/19 or simplified: 1 7/19

The actual average score on the vocabulary test is 91.8.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mr. Johnson predicted the average score on the vocabulary test he gave would be 85 points and his prediction was 8% lower than the actual average score.

The actual score will be:

= 85 + (8% × 85)

= 85 + 6.8

= 91.8

The actual score is 91.8.

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Cost of shrub is $4 and Cost of hosta is $3. Cost is the value of money that was spent on producing or providing a service and is therefore no longer available for use.

The term "cost" can refer to the amount of money or other resources that are required to produce, acquire, or obtain something. In business and economics, cost is often used to refer to the total expense associated with a product or service, including materials, labor, and other expenses.

Micaela spent a total of $33 on 3 hostas and 6 shrubs. Since the cost of the hostas is H x 3 and the cost of the shrubs is S x 6, we can write the following equation:

H * 3 + S * 6 = 33

Similarly, Sumalee spent a total of $42 on 6 hostas and 6 shrubs, so we can write the following equation:

H * 6 + S * 6 = 42

cost 3 hostas and 6 shrubs = $33

cost 6 hostas and 6 shrubs = $42

Cost difference 33 - 42 = 9

So, cost of 3 hostas = $9

Cost of one hosta = $9/3 = $3

$9 + cost of 6 shrubs = $33

cost of 6 shrubs = $33- $9 = $24

Cost of one shrub = $24/6 = $4

Cost of shrub is $4 and Cost of hosta is $3.

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Answer:

x = 17√3 ;  y = 34√2 ; z = 34

Step-by-step explanation:

angle 30° = hypotenuse double of leg

hypotenuse = 17 · 2 = 34

x = 17 · √3 = 17√3

Angle of 45 degrees = two equal legs

z = 34

For the Pythagorean theorem

y = [tex]\sqrt{34^2 + 34^2} = \sqrt{2 (34)^2} = 34\sqrt{2}[/tex]

Answer:

Your answer is: x = 17√3 ;  y = 34√2 ; z = 34. Hope it helps.

Step-by-step explanation:

Step-by-step explanation:

3x(-2x + 5) = 3×-2×x×x + 3×5×x =

= -6x² + 15x

so, the 4th answer option is correct.

The equation that is a quadratic is 2(x + 5)4 + 2x² + 5 = 0

Option C is the correct answer.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

A quadratic equation is an equation with a second degree in x.

Now,

[tex]x^4[/tex] – 6x² – 27 = 0

This is not second-degree in x.

3[tex]x^4[/tex] = 2x

3x³ = 2

This is not the second degree in z.

2(x + 5)4 + 2x² + 5 = 0

8x + 40 + 2x² + 5 = 0

2x² + 8x + 45 = 0

This is in the second degree in x.

6(2x + 4)2 = (2x + 4) + 2

24x + 48 = 2x + 4 + 2

22x + 42 = 0

This is not in the second degree of x.

6[tex]x^4[/tex] = -x² + 5

This is not in the second degree of x.

8[tex]x^4[/tex] + 2x² – 4x = 0

This is not in the second degree of x.

Thus,

The quadratic equation is 2(x + 5)4 + 2x² + 5 = 0

Option C is the correct answer.

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Percent to the nearest whole number = 7%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Probability = (Number of possible outcomes)/(Total number of outcomes)

Total number of outcomes = 2 + 15 + 2 + 11 = 30

Number of possible outcomes = 2

Probability = 2/30 = 1/15 = 0.0666

Percent to the nearest whole number =  0.0666 *100 = 7%

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Answer:7

Step-by-step explanation:

Answer:

A,C

Step-by-step explanation:

A,C

Functions have only one output for every input

The inequality of the solution is  x   >   15.

Make use of the following procedures to solve an inequality:

We need to eliminate the coefficient that multiplies the variable in this linear inequality in order to isolate it.

By dividing both sides by 4, this may be done.

The inequality of  the solution is

  4x≥60.

=[tex]\frac{4x}{4} \geq\frac{60}{4} \\\\= \frac{x}{1} \geq 15\\\\x\geq 15[/tex]

The inequality of the solution is  x   >   15.

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Answer: rotation 90 degrees counterclockwise about the origin I believe. lmk

Step-by-step explanation: counterclockwise is the key word. im jus using common sense cuz counterclock wise is from the left, and there is a rotation. lmk if it wrong tho

The expression for the nth term is aₙ = 37+6n

An arithmetic sequence is a type of sequence in which the difference between the successive and preceding term is constant.

Given that, The 9th term of an arithmetic sequence is -5 and the 15th term is 31

The formula for nth term is given by;

aₙ = a+(n-1)xd

Where, a is the first term

n = number of terms

d = common difference

a₉ = a+(9-1)xd

a+8d = -5.......(i)

And

a₁₅ = a+(15-1)xd

a+14d = 31........(ii)

Solving the equation, we get,

d = 6

Putting, d = 6 in eq(i)

a+8x6 = -5

a = -5+48

a = 43

Now solving for nth term,

aₙ = 43+(n-1)x6

aₙ = 43+6n-6

aₙ  = 37+6n

Hence, the nth term is (37+6n)

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Answer:

±3i√3

= -3i√3 or 3i√3

Step-by-step explanation:

Simplify the complex radical

Answer:

To find the equivalent of 2 4/5 + 4/6, we first need to convert the mixed numbers to improper fractions. To do this, we multiply the whole number part of the mixed number by the denominator of the fraction part, and add the result to the numerator of the fraction part. So 2 4/5 becomes 2 * 5 + 4 = 14/5. Similarly, 4/6 becomes 4 * 1 + 6 = 10/6.

Next, we need to find a common denominator for the two fractions so that we can add them. A common denominator for 14/5 and 10/6 is 30, so we convert both fractions to have a denominator of 30. To convert 14/5 to have a denominator of 30, we multiply the numerator and denominator by 6, which gives us 14 * 6 / 5 * 6 = 84/30. Similarly, we multiply the numerator and denominator of 10/6 by 5 to get 10 * 5 / 6 * 5 = 50/30.

Now that both fractions have a denominator of 30, we can add them to get the equivalent of 2 4/5 + 4/6. This gives us 84/30 + 50/30 = 134/30. Finally, we simplify the fraction to get the final answer, which is 134/30 = 4 8/30 = 4 4/15. So, the equivalent of 2 4/5 + 4/6 is 4 4/15.

Answer:

you really just click on peoples questions and just be like sorry im just here for the points so im doing it to you

Step-by-step explanation:

Answer:

top right :)

Step-by-step explanation:

you can use the ruler trick! if you drag a ruler across the math problem and it crosses two lines at the same time then it's not a function. same goes for points. and as you can see if I were to drag a ruler across this one you won't pass two points at once!

Answer:

To approximate the square root of 46 to the tenths place, we need to find the two-digit number that is closest to the square root of 46. Since the square root of 46 is between 6 and 7, we can estimate that it is about 6.5. We can check this estimate by finding the square of 6.5, which is 42.25. This is close to 46, but it is still a little bit lower than 46, so we can estimate that the square root of 46 is slightly larger than 6.5. Therefore, an approximation of the square root of 46 to the tenths place is 6.6.

Step-by-step explanation:

The individual charges of Nikki and Dave are mentioned in the table -

Nikki            Dave

$20             $12.5

$40              $25

$60             $37.5

$80              $50

The complete question is shown in the image attached in the end.

For Nikki, the charge function is given as -

n = 20r

We can write the charge function for Dave as follows.

We have the following points -

(1, 12.50) and (4, 50)

The charge function is equivalent to -

n = {(50 - 12.5)/(4 - 1)}r

n = (37.5/3)r

n = 12.5r

We can write the table for both Nikki and Dave as -

Nikki            Dave

$20             $12.5

$40              $25

$60             $37.5

$80              $50

Therefore, the complete table representing the individual charges of Nikki and Dave are -

Nikki            Dave

$20             $12.5

$40              $25

$60             $37.5

$80              $50

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Answer: $647,574

Step-by-step explanation:

Capital assets are significant pieces of property such as homes, cars, investment properties, stocks, bonds, and collectibles or art. For businesses, a capital asset is an asset with a useful life longer than a year that is not intended for sale in the regular course of the business's operation.

The capital asset is recorded as its value regardless of any loan that may have been used to purchase it.

Capital assets here are: Home value, work equipment, car, and investments.

All other items are liabilliabilities.

The total value of the doctor's capital assets will be $647,574. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Significant pieces of property including houses, automobiles, rental properties, stocks, bonds, and collectibles or works of art are referred to as capital assets. An asset having a useful life longer than a year that is not intended for sale during normal company operations is referred to as a capital asset for enterprises.

The assets and liabilities of a doctor are listed below.

Home Value                         $475,732

Mortgage                              $105,678

Credit Card Balance             $7,264

Owned Work Equipment     $45,798

Car Value                              $50,761

Investments                          $75,283

Personal Loan                      $32,187

The total value of the doctor's capital assets will be given as,

⇒ $475,732 + $45,798 + $50,761 + $75,283

⇒ $647,574

The total value of the doctor's capital assets will be $647,574. Then the correct option is D.

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Answer:

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

Let the length be l and width be w.

Given:

Substitute l and solve for w:

Find the value of l:

If the fixed cost is $15, it is able to be removed from the two-hour charge to give the charge of ONLY the two hours, which is $150.

This means the hourly charge is $150÷2, which is $75