For each equation, determine whether it represents a direct variation, an inverse variation, or neither.
Find the constant of variation when one exists and write it in simplest form.

__________________

Percentage - In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"

we can substitute 40% for 0.4x and make an equation

\(x-0.4=90\)

simplify

\(0.6x=90\)

divide both sides by 0.6

\(x=150\)

Answer:

If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.

To find the value of k, we can use the given values of y and x:

y = kx

24 = k(12)

k = 2

Now that we know k, we can use the equation to find the value of y when x=16:

y = kx

y = 2(16)

y = 32

Therefore, when x=16, y=32.

Answer:

50/6

Step-by-step explanation:

6 1/2 + 1 5/6 = 13/2 + 11/6

LCM - 6

13/2 x 3 =39/6 and 11/6 remains the same.

39/6 + 11/6 = 50/6

Hope you understood :)

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

x = 3

Step-by-step explanation:

The given straight line is vertical therefore it's slope doesn't exists.

Equation of the line with undefined slope is given by, x = c where c is the point of x axis from which the given line passes.

Therefore x = 3 is the correct answer.

Answer:

The standard form of the equation of a circle with center at (h, k) and radius r is:

(x - h)^2 + (y - k)^2 = r^2

We are given that the center of the circle is (4, -1), so h = 4 and k = -1. We also know that the circle passes through the point (-4, 1), which means that the distance from the center of the circle to (-4, 1) is the radius of the circle.

The distance between two points (x1, y1) and (x2, y2) is given by the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

So the radius of the circle is:

r = sqrt((-4 - 4)^2 + (1 - (-1))^2) = sqrt(100) = 10

Now we can substitute the values of h, k, and r into the standard form equation of a circle:

(x - 4)^2 + (y + 1)^2 = 10^2

Expanding the equation gives:

x^2 - 8x + 16 + y^2 + 2y + 1 = 100

Simplifying and putting the equation in standard form, we get:

x^2 + y^2 - 8x + 2y - 83 = 0

Therefore, the equation in standard form of the circle with center at (4, −1) and that passes through the point (−4, 1) is:

x^2 + y^2 - 8x + 2y - 83 = 0

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer:

62.2%

Step-by-step explanation:

0.622 x 100 = 62.2%

Answer:

true

Step-by-step explanation:

A prism is a solid with parallelogram sides (usually rectangles) and a polygon for the 2 bases. Any polygon can be the base.

Answer:

Hello!

__________________

Your answer would be (A) True.

Step-by-step explanation: Hope this helped you!

Any polygon can be the base of a prism so the answer is true.

y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2

m=-2

Now let us find the y intercept

-3=-2(4)+b

-3=-8+b

-3+8=b

5=b

Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

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Answer:

Minimum--> 250

Q1--> 255

Q2--> (Median): 307

Q3--> 433

Maximum-->507

Step-by-step explanation:

To find the five-number summary of this data set, we need to determine the minimum value, maximum value, and three quartiles (Q1, Q2, Q3) which divide the data into four equal parts.

First, we need to sort the data set in ascending order:

{ 250, 253, 255, 267, 307, 425, 433, 435, 507 }

Minimum: 250

Maximum: 507

To find the quartiles, we need to find the median of the entire data set (Q2) and then the medians of the two halves of the data set, which will give us Q1 and Q3.

Q2 (Median): The median of the entire data set can be found by averaging the two middle numbers.

Q1: The median of the lower half of the data set is 255, which is the middle value of { 250, 253, 255, 267, 307 }. Therefore, Q1 = 255.

Q3: The median of the upper half of the data set is 433, which is the middle value of { 425, 433, 435, 507 }. Therefore, Q3 = 433.

Answer:

A for the Venn Diagram and B for the chart.

Step-by-step explanation:

1. Domain: (-2, -1, 0, 2)

  Range: (-4, -2, 2)

2. Domain: (-4, 2, 1, 4)

   Range: (-2, 1, 4, 4)

The domain represents the values of the independent variable (x) and the range represents the values of the dependent variable (y). The values of the independent variable are inputs that result in an output in a relation. The values in the range are outputs that correspond to inputs from the independent variable.

Answer:

340

Step-by-step explanation:

last time I got this type of question, I either just multiplied it or sum, try doing different methods if u can because I got this question right and I forgot how I did it, but I feel like I multiplied something

Answer:

340

Step-by-step explanation:

which is the result of the surface area

a. Net income: $148,000

b. Martin Farley, Drawing: 40,000. Ashley Clark, Drawing 30,000.

c. The difference in net income as well as total salary allowances will be distributed.

Allowance is characterized as a set amount of cash awarded by employers to their staff to cover expenses above and beyond the basic salary.

As, per the given question;

Part a:  net income of $148,000 for the year:

                                       Farley                Clark                         Total

Salary allowance ....      $40,000          $30,000                    $ 70,000

Reaming income .....      $46,800            $31,200                    $78,000

Net income ..........           $86,800            $61,200                   $148,000

Farley's left out income: ($148,000 - $70,000) × 3/5

Clark's left out income: ($148,000 - $70,000) × 2/5

Part b: journal entries

(1) CR  Sales $668,000    

DR Receivables/Cash $668,000    

CR Trade payable/Cash $520,000    

DR Expenses $520,000    

(2) Drawings  

DR Partners' salaries $222,000    

CR Drawings $222,000    

DR loss or (share of profit) $148,000    

CR Drawings $148,000    

DR Drawings $222,000    

CR Partners' bank accounts $222,000  

The reduction in participants' equity due to withdrawals would've been disclosed on the members' equity statement.

Part c: Even if the LLC's net income was less than the total amount of the salary entitlements, both people would still be paid their salary allowances.

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The correct question is-

Martin Farley and Ashley Clark formed a limited liability company with an operating agreement that provided a salary allowance of $68,000 and $54,000 to each member, respectively. In addition, the operating agreement specified an income-sharing ratio of 3:2. The two members withdrew amounts equal to their salary allowances. Revenues were $668,000 and expenses were $520,000, for a net income of $148,000.

a. Determine the division of $148,000 net income for the year.

b. Provide journal entries to close the (1) revenues and expenses and (2) drawing accounts for the two members. For a compound transaction, if an amount box does not require an entry, leave it blank.

c. If the net income were less than the sum of the salary allowances, how would income be divided between the two members of the LLC?

We are given two triangles that have two equal sides and an equal angle. By the theorem SAS (Side Angle Side) these two triangles are congruent, therefore, the corresponding sides are the same. Therefore, we can say that BC is equal to DE

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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The equation of y = f(x) and the equation of the new function g(x)  under the transformation applied is Y=-3(x-1)² -1  or Y=-3x+6x-4.

What is the quadratic function opens upward or downward?

There is a simple way to identify whether the graph of a quadratic function opens upward or downward: if the leading coefficient is bigger than zero, the parabola expands upward; otherwise, the parabola opens downhill.

Y = -(3x²+2) reflects it about the x-axis. All positive y’s now become negative.

It used to be an upward-opening parabola with y-intercept = 2. Now, it’s a downward opening parabola with y-intercept = -2

Move it to the right by 2 means replace x by x-2

Move it up by 1 means replacing the y-intercept of -2 by -1, just add 1 to the y-intercept

Y=-3(x-1)² -1  or Y=-3x+6x-4

Hence, The equation of y = f(x) and the equation of the new function g(x)  under the transformation applied is Y=-3(x-1)² -1  or Y=-3x+6x-4.

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Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. 38.72 feet² is the area of the garden. This can be solved using the concept of the area of rectangle.

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposing sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Each and every square is a rectangle since it is a quadrilateral with right angles on all four sides. But not all rectangles are squares; for a shape to be a square, all of its sides must have the same length.

So a square is also a rectangle and a rhombus. There is no square shape in the rectangle or rhombus. The trapezium shape is a parallelogram.

Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet.

So, it is a rectangular garden.

Now, area = 5⅔ feet × 6⅚ feet

or, area = 17/3 feet × 41/6 feet

or, area = 697 /18 feet²

or, area = 38.72 feet²

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Answer:

173

Step-by-step explanation:

Brainliest please

Answer:

the answer is 173

Step-by-step explanation:

hope it hlp

Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

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Answer:

Step-by-step explanation:

At least two sides have the same length.

At least two angles have the same measure.

The base angles (angles opposite the equal sides) have the same measure.

The altitude (perpendicular segment from the base to the vertex) bisects the base and the corresponding base angle.

The median (segment connecting the vertex to the midpoint of the base) is also an altitude, angle bisector, and perpendicular bisector of the base.

Based on these characteristics, the properties that belong to all isosceles triangles are:

At least two sides have the same length.

At least two angles have the same measure.

The base angles have the same measure.

Therefore, the correct options are:

At least two sides have the same length.

At least two angles have the same measure.

The base angles have the same measure.

Lucy scored 5000 times her first score.

To find how many times as many points is Lucy's last score compared to the first score, we must see how much is the ratio created when dividing the final score by the first score.

\(\frac{3*10^7}{6x10^3}\)

This is the property: \(\frac{a^m}{a^n}=a^{m-n}\)

Hence, \(\frac{3}{6}*\frac{10^7}{10^3} =\frac{3}{6}*10^4\)

\(\frac{3/3}{6/3}*10^4\\ \\\frac{1}{2} *10^4\\\\ 0.5*10^4\)

\(=5000\)

Lucy scored 5000 times her first score.

Answer:

5 × 10³ = 5000

Step-by-step explanation:

Standard Form (also called "Scientific notation") is written in the form of

\(a \times 10^n\) , where \(1\leq a < 10\)  and n is any positive or negative whole number.

Given:

To calculate how many times as many points is Lucy's last score as her first score, divide her latest score by her first score:

\(\implies \dfrac{3 \times 10^7}{6 \times 10^3}\)

\(\implies \dfrac{3}{6} \times \dfrac{10^7}{10^3}\)

\(\implies 0.5 \times \dfrac{10^7}{10^3}\)

\(\textsf{Apply the quotient rule of exponents} \quad \dfrac{a^b}{a^c}=a^{b-c}:\)

\(\implies 0.5 \times 10^{7-3}\)

\(\implies 0.5 \times 10^{4}\)

In standard form:

\(\implies 5 \times 10^{3}\)

Therefore:

\(\begin{aligned} \implies 5 \times 10^{3} & =5 \times 10 \times 10 \times 10\\ & =5 \times 1000 \\& =5000 \end{aligned}\)

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To factor the expression, we need to identify any common factors that can be pulled out of the terms.

The terms g²r and 9²₂² have a common factor of g². The terms 6g²rs²t and -6g²rs²t have a common factor of -6g²rs²t. The term 5422 does not have any factors in common with the other terms.

Therefore, the expression can be factored as:

(-6g²rs²t)(g²r + 9²₂²) + 5422

This is the fully factored form of the expression.


????

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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Hence the equation of the parabola is y = -x² + 4

In mathematics, a parabola is a roughly U-shaped, mirror-symmetrical planar curve. The same curves can be defined by a number of seemingly unrelated mathematical definitions, which all correspond to it.

The general equation of a parabola is given by y = ax² + bx+ c

The parabola passes through (-3,-5) , (-1,3) , and (0,4).

Now substituting the values in the parabola we get :

-5 =  a(-3)² + b(-3)+ c

or , -5 = 9a -3b + c

again:

3 = a(-1)² + b(-1)+ c

or, 3 = a -b + c

again

4 = a(0)² + b(0)+ c

or, c =4

Solving the equation we get :

9a - 3b = -9 and a-b = -1

a= -1 and b = 0

Hence the equation of the parabola is

y = -x² + 4

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The value of angle x in the triangle is 15°

Given: the triangle ABC with equal sides of 9 units.

Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).

Thus, <A = <B = < C =  4x°

Since the sum of angles in a triangle is 180°. We have:

<A + <B + < C = 180°

4x + 4x + 4x = 180°

12x = 180

x = 180/12

x = 15°

Therefore, the value of x is 15°

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