The pairs of polygons below are similar. Give the scale factor, perimeter ratio, and area ratio of Figure A to Figure B

Answer:

93.684

Step-by-step explanation:

They just give a 5% bonus to the price of the lunch

The types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

A. To find f(x) + g(x), we add the two functions together:

f(x) + g(x) = (x + 2)/(x^2 - 9) + 11/(x^2 + 3x)

To add these fractions, we need a common denominator. The common denominator in this case is (x^2 - 9)(x^2 + 3x). So, we rewrite the fractions with the common denominator:

f(x) + g(x) = [(x + 2)(x^2 + 3x) + 11(x^2 - 9)] / [(x^2 - 9)(x^2 + 3x)]

Simplifying the numerator:

f(x) + g(x) = (x^3 + 3x^2 + 2x^2 + 6x + 11x^2 - 99) / [(x^2 - 9)(x^2 + 3x)]

Combining like terms:

f(x) + g(x) = (x^3 + 16x^2 + 6x - 99) / [(x^2 - 9)(x^2 + 3x)]

B. To find the excluded values, we look for values of x that would make the denominators zero, as division by zero is undefined. In this case, the excluded values occur when:

(x^2 - 9) = 0  --> x = -3, 3

(x^2 + 3x) = 0 --> x = 0, -3

So, the excluded values are x = -3, 0, and 3.

C. To classify each type of discontinuity, we examine the excluded values and the behavior of the function around these points.

At x = -3, we have a removable discontinuity or hole since the denominator approaches zero but the numerator doesn't. The function can be simplified and defined at this point.

At x = 0 and x = 3, we have vertical asymptotes. The function approaches positive or negative infinity as x approaches these points, indicating a vertical asymptote.

Therefore, the types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.

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Answer:

yes

Step-by-step explanation:

875x3=2,625
640x4=2,560

2625+2560= 5,185

The integer form is + 40.

The integer form is - 25

An integer is a whole number from the set of negative, non-negative, and positive numbers.

Therefore, integers can be written without fractional components.

Hence, integers may include negative or positive numbers . Examples are -1, 2, 5, -8, 9 and many more.

A deposit of 40 dollars means gain. Therefore, the integer form is + 40.

A loss of 25 pounds mean loss. Therefore, the integer form is - 25

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Answer:

because x,y,z are in continuous proportion

=> x/y = y/z

<=> xz = y² =>

\(\frac{xz}{y} =y\\\\=>\frac{x^{3}z^{3} }{y^{3} }=y^{3}\)(1)

with (1), we have:

\(x^{2}y^{2}z^{2}(\frac{1}{x^{3} }+\frac{1}{y^{3} }+\frac{1}{z^{3} })\\\\= (xyz)^{2}(\frac{1}{x^{3} } +\frac{y^{3} }{x^{3}z^{3} }+\frac{1}{z^{3} })\\\\=(xyz)^{2} (\frac{x^{3}+y^{3}+z^{3} }{x^{3}z^{3}} )\\\\=y^{2}.\frac{x^{3}+y^{3}+z^{3} }{xz} \\\\= xz.\frac{x^{3}+y^{3}+z^{3} }{xz} \\\\=x^{3}+y^{3}+z^{3}\)

Step-by-step explanation:

Answer: 0.3 meters.

Step-by-step explanation:

First we need to turn one of those into a fraction or decimal to make things easier for us. Lets turn \(1 \frac{1}{5}\) into a decimal.

1 1/5 as a decimal is 1.2.

Now we compare the two

\(1.5 > 1.2\)

Now we need to subtract 1.5 by 1.2 to see how much more he jumps by.

\(1.5 - 1.2 = 0.3\)

Steve jumps more by 0.3 meters.

Answer:

3/10 or .3 meters

Step-by-step explanation:

1 1/5 = 1.2

1.5 - 1.2 = 0.3

Answer:

December 31

Step-by-step explanation:

The solution to the system substitution is (x , y) = (-3,3).

Here it is given that,

y=-2 x -3 and y= 3 x + 12

Take y=-2 x -3 as equation 1,

y= 3 x + 12  as equation 2'

by equating both equations,

-2x-3=3x+12

-3-12=3x+2x

5x=-15

x=-15/5

 =-3

substituting the value of x in the equation1

y=-2x-3

y=-2(-3)-3

 =3

Hence, The solution to the system substitution is (x , y) = (-3,3).

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Answer:

1        I         3

8       I         24

6       I         18

3       I         9

Step-by-step explanation:

Step-by-step explanation:

the first one is 1 apple , 3 strawberries

the second is 8 apples, 24 strawberries

the third one is  5 apples, 15 strawberries

and the last one is 3 apples, and 9 strawberries

I'm sorry if I'm wrong I'm not good at math :( but i hope it helps :D

The value of 1kg 620g to kg is 1.62 kg

Given the expression 1kg 620g

Since 1000g = 1kg, hence;

620g = 0.62kg

Substitute

1kg 620g = 1 + 0.62

1kg 620g = 1.62kg

Hence the value of 1kg 620g to kg is 1.62 kg

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The future value F of the given principal under compound interest for the

time period and interest rate specified is $17,149.99.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + r/n)^{nt}\)

P = principal

R = rate

t = time in years

n = the number of times compounded in a year.

We have,

t = 13 years

r = 2.75%

Compounded monthly

This means,

n = 12

P = $12,000

Now,

A = P \((1 + r/n)^{nt}\)

A = 12000 \((1 + 0.00229)^{156}\)

A = $17,149.99

Thus,

The future value is $17,149.99.

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A graph of the cube root function g(x) = 1/2x³ is shown in the image below.

In Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would be stretched or shrunk depending on the scale factor that is applied.

When the parent cube root function f(x) = x³ is vertically shrunk by a scale factor of 1/2, the transformed function g(x) is given by;

g(x) = kf(x)

g(x) = 1/2f(x)

g(x) = 1/2x³.

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The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

Given that:

Endpoints of diameter, (13, -1) and (15, 9)

The equation of the circle when endpoints of diameter are given is written as,

(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0

The equation of the circle is calculated as,

(x - 13)(x - 15) + (y + 1)(y - 9) = 0

x² - 28x + 195 + y² - 8y - 9 = 0

x² + y² - 28x - 8y + 186 = 0

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

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Answer:

Step-by-step explanation:

Let's assume that the first car used x gallons of gas during the week, then the second car used (75 - x) gallons of gas because the total gas consumption by both cars is 75 gallons.

The first car's fuel efficiency is 30 miles per gallon, so it traveled (30x) miles during the week.

The second car's fuel efficiency is 35 miles per gallon, so it traveled (35(75 - x)) miles during the week.

The total distance traveled by both cars is given as 2425 miles, so we can set up the equation:

30x + 35(75 - x) = 2425

Expanding the equation:

30x + 2625 - 35x = 2425

Simplifying:

-5x = -200

x = 40

Therefore, the first car used 40 gallons of gas during the week, and the second car used (75 - 40) = 35 gallons of gas during the week.

Answer: Car 1 used 40 gallons and car 2 used 35 gallons.

Step-by-step explanation: In this problem, we will use a system of equations to reach our answer. We can let x be the gallons consumed by the first car, and y be the gallons consumed by the second car(these are both for one particular week only). We know the total consumption of gas is 75 gallons so the gallons consumed by car 1 and car 2 have to add up to 75. We can then create the equation x+y=75. We know that car 1 has an efficiency of 30 miles per gallon and 35 miles per gallon for car 2. The miles produced by x gallons in car 1 can be represented by 30x=# of miles. we can use 35y = # of miles for car 2. We know the combined total of miles from both cars is 2425 so we can make the equation 30x+35y=2425 miles. Now that we have our equations, we can simply solve them to find our answers.

x+y=75

x=75-y                   Isolating a variable

30x+35y=2425    

30(75-y)+35y=2425            Substituting the variable we isolated

2250-30y+35y=2425

2250+5y=2425

5y=175

y=35

x+(35)=75

x=40

y=35 and x=40

Car 1 used 40 gallons and car 2 used 35 gallons.

Hope this helps!

Answer:

it's acute and isosceles triangle.

Answer:

Concept: Identification of Figures

Regression equation correctly models the data is: y = -43.98x + 1,279.93

To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.

Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.

The slope (m) can be calculated using the formula:

\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)

Plugging in the values from the table:

m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)

m = (776,600 - 3,708,800 / 6(18,109) - 89,401)

m = (-2,932,200 / 66,654)

m ≈ -43.98

The y-intercept (b) can be calculated using the formula:

b = (Σy - m(Σx)) / n

Plugging in the values from the table:

b = (12,400 - (-43.98)(299)) / 6

b ≈ 1,279.93

The correct regression equation that models the data is:

y = -43.98x + 1,279.93

Out of the given options, the correct regression equation is:

y = -43.98x + 1,279.93

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Answer:

5.59

Step-by-step explanation:

unit price = total price / total number of pairs

               = 33.54/6 = $ 5.59

Answer:

5.59 each pair of socks.

Step-by-step explanation:

33.54÷6=5.59

Given:

There are given that the two points are:

Explanation:

To find the equation, first, we need to find the slope of the line from the given points.

So,

From the formula of slope:

Where,

Then,

Put all the values into the above formula:

So,

Now,

From the formula of point-slope form:

Then,

Then,

Final answer:

Hence, the equation of line is shown below:

Answer:

Step-by-step explanation:

k = 3 ; 2k + 2 = 2*3 + 2 = 6 + 2 = 8

k = 4;  2k + 2 = 2*4 + 2 = 8 +2 = 10

k =5; 2k + 2 = 2*5 +2 = 10+2 = 12

k=6;  2k +2 = 2*6 + 2 = 12+2 = 14

k = 7 ; 2k + 2 = 2*7 +2 = 14 +2 = 16

k = 8 ; 2k + 2 = 2*8 + 2 = 16 +2 = 18

∑ (2k + 2) = 8 + 10 + 12 + 14 + 16 + 18 = 78

Answer:

A' (7,7)

B' (10,4)

C' (6,5)

Step-by-step explanation:

Add 9 to every x value and 3 to every y value.

Answer:

A'(7,7)

B'(10,4)

C'(6,5)

Step-by-step explanation:

⭐What is a translation?

⭐What is the translation notation?

The problem tells us to translate ΔABC 9 units to the right, and 3 units up because it is inside the <>, and the numbers are positive.

To translate the vertices of ΔABC, we have to add the respective x and y coordinates of the translation rule to each vertecie of ΔABC.

A(-2,4):

B(1,1):

C(-3,2):

⭐if this response helped you, please mark it the "brainliest"!⭐

The equation is:

So the values of x are:

Given the interval

Explanation

Part A

The left-hand parenthesis indicates that -4 is inclusive in the interval, while the right-hand parenthesis indicates that three is excluded from the interval.

Answer

Part B

The number line can be seen below.

Answer

The revenue function is R = 25q, the cost function is C = 2000 + 20q, and the profit function is P = 5q - 2000.

The revenue function in terms of quantity can be calculated as follows:

Revenue (R) = q x p

Where: "q" is the quantity of units sold

"p" is the price per unit

At the break even point:

10,000 = 400p

p = 25 birr per unit

At the break even point, the total cost is equal to the total revenue:

Total cost = Total revenue = 10,000 birr

Fixed cost = 2000 birr

Variable cost (VC) = Total cost - Fixed cost

VC = 10,000 - 2000 = 8000 birr

The cost function in terms of quantity can be expressed as:

Cost (C) = FC + VC x q

C = 2000 + 20q

The profit function can be calculated as the difference between revenue and cost:

Profit (P) = R - C

P = 25q - (2000 + 20q)

P = 5q - 2000

Therefore, the revenue function is R = 25q,

the cost function is C = 2000 + 20q, and

the profit function is P = 5q - 2000.

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Using newton's method to find all real roots of the equation, 4x = 1+ x³ is

x1 = -2.11491, x2 = 0.2541, x3 = 1.86081.

We have the equation,

4x = 1+ x³

To find the real roots of equation we have,

x1 = -2.11491, x2 = 0.2541, x3 = 1.86081.

The cubic equation formula in mathematics is how the cubic equation is represented. An equation with degree three is said to be cubic. In nature, the roots of all cubic equations are either one real root and two real roots or three real roots. Cubic polynomials are the name given to three-degree polynomials.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

The number of people going

Step-by-step explanation:

That is what can vary.

Answer:

that guy/girl is correct

For the function, the x-intercept of g(x) is at (5,0).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given f(x) = ln(x)

and g(x) = -f(x - 4)

the function is

g(x) = -ln(x - 4)

when x = 5

g(x) = -ln(5 - 4)

g(x) = -ln1

g(x) = 0

the coordinates are (5, 0)

Hence the x-intercept is (5, 0).

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Answer:

The answer is B and D

Step-by-step explanation:

If you mark the last line as 5 and the first line (placement) as 0.5 the you'l, see that 6/10 falls on 3/5. And 6/10 is on the left of 8/10.