Mr. Harmon graded a Pre-Algebra test that he gave to his eighth-grade students. The results were 27 As, 54 Bs, 15 Cs, 3 Ds, and 1 F. What is the ratio of As to Ds in this class?

The values of a, b and c when comparing ⁷√(6³) with  [tex]a^\frac{b}{c}[/tex]  are 6, 21 and 2

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

⁷√(6³)

Applying the law of exponents gives:

= √[(6³)⁷]

= √[6²¹]

[tex]=6^\frac{21}{2}[/tex]

Given the form [tex]a^\frac{b}{c}[/tex], the values of a, b and c are 6, 21 and 2

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Answer:

-4 + 18.5202592 i

Step-by-step explanation:

-4 + 18.5202592 i

there you go

The value of ∠C: 121°

What is Triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane.

Given this,

There is an ABC triangle.

m∠A = (x + 6)°

m∠B = (3x - 15)°

m∠C = (5x + 36)°

The size of C must be determined.

Having said that,

A triangle's total number of angles equals 180 degrees.

As a result, we can say,

∠(A) + ∠(B) + ∠(C) = 180

(x + 6)° + (3x - 15)° + (5x + 36)° = 180°

(x + 3x + 5x) + (6 - 15 + 36) = 180°

9x + 27 = 180°.

9x = 180 - 27

9x = 153 degrees

x = 153/9 degrees

17 = x.

Hence,

The ∠C  is expressed as

∠C = 5x + 36

= 5*17 + 36

= 85 + 36

∠C = 121.

Thus, ∠C = 121.

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Answer:

a number that is at least as large as 8.9

Step-by-step explanation:

the line under the greater than sign makes it equal to or greater than

Begining with the third term, each term of the sequence is the sum of the preceding two.

The procedure to calculate the p-value from z-score depends on one of two choices: one-tailed (which may be Left-tailed or Right-tailed) or two-tailed tests.

A z-table, otherwise termed the standard normal table, provides the area under the curve to the left of a z-score.

The technique for using z-tables to find p-values depends on the test being carried out; which may be; one- or two-tailed test.

For one-tailed tests, the directionality is also a factor.

It therefore follows that;

For a Left-tailed z-test: the p-value = Φ(Zscore)

For a Right-tailed z-test: the p-value = 1 - Φ(z-score).

For a Two-tailed z-test: the p-value = 2 * Φ(−|z-score|).

The procedure described above represents how to calculate p-value from z-score.

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The following equations are used to find the p-value from its z-score

From the question, the parameters are given as

Also, from the question, we understand that:

The p value depends on the z-score for its own value

There are three formulas for calculating the p-value from the z-score, depending on the type of test (i.e. left-tailed test, right-tailed test and two-talied test)

These formulas are:

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The value of line JK in the triangle is 25.2

Trigonometry is the branch concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec).

In the right-angled triangle JLM, LM is the hypotenuse, JM is the adjacent and JL is the opposite to angle M

therefore JM = √(LM)^2- (JL)^2

JM = √87^2- 60^2

JM = √3968

JM = 63

sinM= LJ/LM

sinM= 60/87

sinM=0.69

M=sin^-0.69

M= 43.6

angle M is bisected into two

M/2= 43.6/2= 21.8

in Triangle JLM

sin21.8= JK/63

Jk= sin21.8×63

JK= 25.2

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There is 19958400 Number of permutations can be made using all letters.

What is permutation?

The term "permutation" describes a mathematical calculation that counts all possible arrangements of a given set. The term "permutation" simply refers to the variety of possible arrangements or orders. The arrangement's order matters in permutations.

Given Word is TRANSFORMED.

Total Number of letters = 11

Number of times Letter T repeating = 1

Number of times Letter R repeating = 2

Number of times Letter A repeating = 1

Number of times Letter N repeating = 1

Number of times Letter S repeating = 1

Number of times Letter F repeating = 1

Number of times Letter O repeating = 1

Number of times Letter R repeating = 1

Number of times Letter M repeating = 1

Number of times Letter E repeating = 1

Number of times Letter D repeating = 1

Number of permutations that can be made using all letters

= 11!/(1! * 2! * 1! * 1! * 1! * 1! * 1! * 1!) = 39916800/(2*2*2) = 39916800/2 =

19958400

Thus, there is 19958400 Number of permutations can be made using all letters.

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The profit function for the company is 12x - 24000.

Given,

Cost function, C(x) = 24,000+19x

Revenue function, R(x) = 31x

Profit function, P(x) = R(x) - C(x)

                               = 31x - (24000 + 19x)

                               = 31x - 24000 - 19x

                               = 12x - 24000

Hence, P(x) = 12x - 24000.

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The picture is right here

Answer:

x = 15

Step-by-step explanation:

8x + 9 and 51 are same- side interior angles and sum to 180° , then

8x + 9 + 51 = 180

8x + 60 = 180 ( subtract 60 from both sides )

8x = 120 ( divide both sides by 8 )

x = 15

Answer:

v = 8

Step-by-step explanation:

The option that describe the quadrilateral is

The choice is made by having a good idea of the properties of the given figures

Starting with quadrilateral: this is a four sided figure, A quadrilateral may also be a parallelogram

Parallelogram refers to figures that has parallel lines

A rectangle is a special type of parallelogram that has two opposite sides equal and equal angles of 90 degrees

A rhombus is a parallelogram that has all the sides equal but only the opposite angles are equal. square is similar to rhombus but has all angles equal to 90 degrees

All other figures except Quadrilateral are parallelogram and the distinctive feature of a parallelogram here is that the adjacent angles of a parallelogram are supplementary,

None of the given pairs of angles add up to give 180 degrees hence we say they are not supplementary and not a parallelogram

All the figures can be classified quadrilateral but not all quadrilateral are parallelogram

sum of angles of a quadrilateral is 360 degrees

45 + 146 + 60 + 109 = 360

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y=5/3x -2

slope: 5/3

y-intercept: (0,-2)

yeah bc the answer is 4 yrs

Answer:

3.5 years

Step-by-step explanation:

The table is completed as follows using the double-declining-balance method of depreciation:

Year Cost   Accumulated  Book Value  Depreciation Accumulated  Book

                   Depreciation        B.O.Y         Expense     Depreciation  Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $30,000          $0           $30,000         $12,000         $12,000  $18,000

2   $30,000    $12,000          $18,000         $7,200           $19,200  $10,800

3   $30,000   $19,200          $10,800           $4,320          $23,520   $6,480

The double-declining-balance approach is what?

The double-declining-balance method is one of the depreciation techniques in use, however it adds additional costs in the first years of an asset's life.

In this depreciation method, the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2, is twice.

At the conclusion of each year, the leftover balance for the depreciation charge is adjusted using the double rate.

The difference between the closing balance from the previous year and the residual value is used to determine the depreciation charge for the most recent year.

Auto  = $30,000

Estimated useful life = 5 years

Residual = $800

Depreciable amount = $30,000 - $800 = 29,200

Straight-line depreciation rate = 100/5 = 20%

Double-declining depreciation rate =20% x 2 = 40%

Depreciation Expense:

1st year = 30,000 x 40/100 = 12,000

2nd year = 18,000 x 40/100 = 7,200

3rd year = 10,800 x 40/100 = 4,320

4th year = 6,480 x 40/100 = 2,592

5th year = 3,888 x 40/100 = 1,555

Year Cost   Accumulated  Book Value  Depreciation Accumulated Book

                   Depreciation        B.O.Y         Expense      Depreciation   Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $30,000          $0           $30,000         $12,000         $12,000  $18,000

2   $30,000    $12,000          $18,000         $7,200           $19,200  $10,800

3   $30,000   $19,200          $10,800           $4,320          $23,520   $6,480

4   $30,000  $23,520          $6,480           $2,592           $26,112   $3,888

5  $30,000  $26,112            $3,888          $1555           $27,667     $2,332

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The inverse of the function is also a function for each part.

What is function?

a function from a group X to a group Y assigns to every component of X specifically one component of Y.

Main body:

In order to have an inverse function, a function must be one to one.

In the case of

f(x)=x⁴we find that f(1)=f(−1)=1. So f(x) is not one to one on its implicit domain R.

If we restrict the domain of

f(x) to [0,∞) then it does have an inverse function, namely:

f−1(y)=⁴√y

Some more details...

In general, if you want to find the inverse of a function

f(x) then set y=f(x) and attempt to solve for x.

In our example, put:

y=f(x)=x⁴

Then taking the square root of both ends, allowing for both possible

signs we find:

±√y=x²

Assuming that we are only interested in real values of x, we require the left hand side to be non-negative, so assume the non-negative square root.

Then take the square root of both sides again to get:

±√√y=x

That is:

x=±√√y=±⁴√y

Note that this does not give us a unique value of x in terms of y.So the inverse function is not defined, unless we have a restriction such as x≥0, i.e. restrict the domain of f(x) to be [0,∞).

Hence y = x⁴ has inverse and its inverse is also function.

Similarly for each of the parts it is true.

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The median thickness of squirrel hair is 25% more than that of rat hair.

The interquartile range of squirrel hair thicknesses is 50% less than that of rat hair.

A box and whisker plot (also known as a box plot) depicts a five-number summary of a set of data: lowest, lower quartile, median, upper quartile, and maximum.

The line (and dot) in the middle of the box represents the median.

As per the given question,

The median of squirrel hair is 35.

The median of rat hair is 28.

Thus, the median thickness of squirrel hair is 25% more than that of rat hair.

The extreme right end of the whisker represents the maximum value.

In this question,

the maximum value of squirrel hair is 37.

the maximum value of rat hair is 34.

The extreme left end of the whisker represents the minimum value.

In this question,

the minimum value of squirrel hair is 25.

the minimum value of rat hair is 19.

The interquartile range of squirrel hair = 37-25 = 12

The interquartile range of rat hair = 25 - 19 = 6

Thus, the median thickness of squirrel hair is 25% more than that of rat hair. The interquartile range of squirrel hair thicknesses is 50% less than that of rat hair.

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a. The terms are

b. The domain of the function is given as 1 ≤ x ≤ 4. The graph is a discrete graph

The term in the linear function m = 200 − 50v interpreted as

200 = money set aside for buying video games

50 = cost per video game

v = number pf video games

m = total amount spent on video games

The number refers to all the possible input values, this value as regard this context is when the money left for video game is finished.

the input value is v, the domain is solved as follows

200 - 50v = 0

50v = 200

v = 200/50

v = 4

The maximum number is 4 while the minimum is just above 0 or from 1 hence the domain is

1 ≤ x ≤ 4

the graph is attached

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the Answer: A

Step-by-step explanation:

The correct option regarding the correlation coefficient is that A. I can’t be confident at all; this is about as close to a random guess as you can get.

The correlation coefficient is a statistical measure of the strength of a two-variable linear relationship. Its values can range between -1 and 1. A correlation coefficient of -1 denotes a perfect negative, or inverse, correlation, in which values in one series rise while those in the other fall, and vice versa.

A coefficient of one indicates that there is a perfect positive correlation, or a direct relationship. A correlation coefficient of 0 indicates that no linear relationship exists. In science and finance, correlation coefficients are used to assess the degree of association between two variables, factors, or data sets.

In this case, the fat that the person gets 0 implies that it's probably a random guess. In conclusion, the correct option is A.

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The sum of four digits numbers constructed by the digits 1, 2, 3, and 4 is 10

The sum of the digits is achieved by adding the digits

The sum will be same no matter how the numbers are placed and as long as the numbers are not repeated.

The property that is useful here is the commutative property of addition

adding the digits

= 1 + 2 + 3 + 4

= 10

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As per the given equation, the distance between the two towns is 128 miles.

Equation:

Equation defined as the mathematical statement that is made up of two expressions connected by an equal sign.

Given,

A delivery truck drove 32 miles per hour. It took 4 hours to travel between two towns.

Here we need to find the distance between the two towns.

Here we know that, the equation

d=rt,

where

d is distance,

r is rate, and

t is fine.

Through the given question we have identified that the value of r (rate) is 32 miles per hour and the value of t (fine) is 4 hours.

So, the distance is,

d = 32 * 4

d = 128.

Therefore, the distance between the two towns is 128 mile.

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The given distribution would best be described as the complete sampling distribution. which is the correct answer would be option (B).

What is the sampling distribution?

In statistics, sampling distribution refers to the study of multiple random samples drawn from a particular population depending on a specified property. The acquired data paint a clear picture of the changes in the likelihood of the outcomes determined. As a consequence, the analysts are aware of the outcomes ahead of time, allowing them to plan their appropriate steps.

All available samples of two of these four movies were chosen at random, and the sample means gross profit for each of these samples was shown.

Thus, the given distribution would best be described as the complete sampling distribution.

Hence, the correct answer would be an option (B).

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For each additional slice of pizza that is purchased, the total cost of lunch is increase by $2.5

First choose two points

(1, 10) and (2, 12.5)

The cost of one slice of pizza = $10

The cost of two slice of pizza = $12.5

Using these points we have to find the slope of the line

The slope of the line is the change in y coordinates with respect to the change in x coordinates of the graph

The slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where m is the slope of the line

[tex](x_1,y_1)[/tex] is the coordinates of the first point

[tex](x_2,y_2)[/tex] is the coordinates of the second point

Substitute the values in the equation

Slope of the line = (12.5 - 10) / (2-1)

= 2.5/1

= $2.5

Hence, for each additional slice of pizza that is purchased, the total cost of lunch is increase by $2.5

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The equation balancing to each steps are has follows

Step 1: ---------- C. Divide both side by 2

Step 2: --------- A. Add 3 to both sides

Step 3: ----------B. Multiply both side by  [tex]\frac{1}{6}[/tex]

Equation balancing is the accurate description of the step taking in an equation.

Step 1 : --------C . Divide both side by 2

12x - 6 = 10

6x - 3 = 5

step 2: ---------A. Add 3 to both sides

6x -3 =5

6x = 8

step 3:-----------B. Multiply both side by  [tex]\frac{1}{6}[/tex]

6x = 8

x = [tex]\frac{4}{3}[/tex]

Therefore, the matching description to each steps are:

Step 1: ---------- C. Divide both side by 2

Step 2: --------- A. Add 3 to both sides

Step 3: ----------B. Multiply both side by  [tex]\frac{1}{6}[/tex]

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Answer:

250.

Step-by-step explanation:

First we need to round to the nearest 100:

120 rounded to the nearest 100 is 100.

230 rounded to the nearest 100 is 200.

455 rounded to the nearest 100 is 500.

175 rounded to the nearest 100 is 200.

So, we have the numbers 100, 200, 500, and 200.

To find the average of numbers, we need to add them up and divide the number we get by how many numbers we added:

100 + 200 + 500 + 200 = 1,000

Since we added 4 numbers, we divide by 4:

1,000 divided by 4 = 250.

We don't round to the nearest 100 for 250 because the question said to only round for the original numbers. But, if i am wrong somehow, 250 rounded is 300.

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The time taken for the rocket to reach its maximum height according to information given is; 2.25 seconds.

The maximum height reached by the toy rocket is; 88 feet.

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

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Answer: area = 697.5 area

The true statement about this system 2x - y = 0 and 5x + 3y = 22 is

The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x,y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given are two equations 2x - y = 0 and 5x + 3y = 22.

The ordered pair (7, 19) is not a solution to this system as these two equations do not intersect each other at (7, 19).

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Answer:

the answers are 2 choices

1- The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.

2- The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

Step-by-step explanation:

i took the k12 test and got these as the answers correctly