Juan draws a triangle on a coordinate grid. He then performs a series of transformations. Juan claims the resulting triangle is congruent to the other triangle. Select all the transformations that Juan could have performed.

Answer: a) $778.67  b) 19 years

Step-by-step explanation:

The formula you would use is

[tex]a_{n}=P(1-r)^{n}[/tex]

where a is the amount

n is the length of time

P is the principle

and r is the rate in decimal form

a)

[tex]a^{12} =34,000(1-.27)^{12} \\a_{12}=34,000(.73)^{12}\\a_{12} =778.67[/tex]

b)

put your initial equation into a graphing calculator and  use the table function to find that after 18 years it is worth 117 and in 19 years 86-

Answer:

Larger groups take less time

Step-by-step explanation:

Answer:

28,30,39,45,47 and 48

Step-by-step explanation:

add 8 to all nubers

Answer:

the second graph (c)

Step-by-step explanation:

The curve is passing through (0, 2) and (0, -3). Then the correct option is B.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The zeroes of the polynomial function are 2 and -3.

The number of zeroes is 2. Then the degree of the polynomial will be 2. So, the function is a quadratic function.

The zeroes of the function represent the x-intercepts. Then the curve is passing through (0, 2) and (0, -3).

Thus, the correct option is B.

More about the polynomial link is given below.

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9514 1404 393

Answer:

  57.1°

Step-by-step explanation:

The sides of the rectangle are adjacent and opposite the angle, so the measure is ...

  α = arctan(opposite/adjacent) = arctan(19.2/12.4) ≈ 57.1°

The angle between the diagonal and the short side is about 57.1°.

Answer:

6

Step-by-step explanation:

E ( [tex]x_{A} ;y_{A}[/tex] ) = (-2, -3)

G ( [tex]x_{B} ;y_{B}[/tex] ) = (4, -3)

Objective : Find the distance between two given points EG

Formula : Distance between two points

[tex]d = \sqrt{( x_{B} -x_{A} )^{2} + ( y_{B} -y_{A} )^{2}}[/tex]

Solution : [tex]d = \sqrt{( 4 -(-2) )^{2} + (-3-(-3))^{2}} = \sqrt{( 4 -(-2) )^{2} + (-3-(-3))^{2}} =\sqrt{36+0} =6[/tex]

Answer $17.22 was spent on a pass and $8.94 on lunch for each student and that implies a total of $26.16 was spent on each student

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

120÷4=30 (4 because a square has 4 sides)

and you can check it by doing 4×30=120

hope this helped

Step-by-step explanation:

[tex] \frac{6}{4.5} = \frac{4}{x} \\x \times 6 = 4 \times 4.5 \\ x = \frac{4 \times 4.5}{6} \\ x = \frac{18}{6} \\ x = 3[/tex]

Answer:

The answer is 2.2

Step-by-step explanation:

To find the missing number, you need to use the opposite operation to find the value of n:

Original equation: 1 / n = 2.2

New equation: 1 * 2.2 = 2.2

Answer:

64.80

Step-by-step explanation:

Answer:

no he will make it home at 18:15

Step-by-step explanation:

[tex]4:55+15=5:10\\5:10+10=5:20\\5:20+45=6:15[/tex]

Answer:

Negative

Step-by-step explanation:

A negative times a negative equals positive

A positive times a negative equals a negative

A positive times a positive equals a positive

Answer:

If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.

The average rate of change is [tex]\frac{6}{25}[/tex]

'When we calculate average rate of change of a function over a given interval, we’re calculating the average number of units that the function moves up or down, per unit along the x-axis. We could also say that we’re measuring how much change occurs in our function’s value per unit on the x-axis.'

According to the given problem,

Rate of change formula = [tex]\frac{f(b) - f(a)}{b-a}[/tex]

y = log3x

⇒ a= 1

   b= 3

Therefore,

⇒ [tex]\frac{log(3*3) - log(3*1)}{3-1}[/tex]

⇒ [tex]\frac{log9 - log3}{2}[/tex]

⇒[tex]\frac{1}{2}[/tex] log[tex](\frac{9}{3})[/tex]

⇒ [tex]\frac{1}{2}[/tex] * log 3

⇒ [tex]\frac{6}{25}[/tex]

Hence we can conclude the rate of change as [tex]\frac{6}{25}[/tex]

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Answer: 8 pie

Step-by-step explanation:

8====>

The length of the given arc is determined as 2π.

option B is the correct answer.

The length of the arc EF is calculated by applying the formula for the length of an arc as shown below;

EF = θr

where;

From the given diagram, the radius of the arc = 4, and the angle subtended by the arc = π/2

The length of the arc is calculated as follows;

EF = ( π/2 ) x 4

EF = 2π

Thus, the length of the given arc is determined by applying the formula for length of an arc.

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Step-by-step explanation:

Area of a circle = πr²

r = 6 mm (given)

Area = π(6)² = 36π mm².

Answer:

area if circle =πr²=π6²=36πmm²

Answer:

1,908.5

Step-by-step explanation:

Add 1900 + 1917 and divide by two

1900+ 1917 = 3817

3817 divided by 2 = 1908.5

Answer:

565.2

Step-by-step explanation:

Cone=1/3bh

B is pir^2

so that means b=pi36 (6*6 =36)

36*15/3 is 565.2

Answer:

N/A

Step-by-step explanation:

Get the Desmos graphing calculator app. it is very helpful when graphing and needing to be able to compare functions

Answer:

Step-by-step explanation:

10.5c>or equal to 1260

Answer:

I don't see any inequality or a question.

Step-by-step explanation:

I suspect you want to know the minumum number of cups to sell in order to raise $1000 and pay off the company its $260

        c(10.5) - 260 > 1000

                     c  >  (1000 + 260) /10.5

                     c >  120 cups

Answer:

D) 18a

Step-by-step explanation:

y - x

= 4x - x (plug y = 4x)

= 3x

= 3(2z) (plug x = 2z)

= 6z

= 6(3a) (plug z = 3a)

= 18a

Answer:

4.8

Step-by-step explanation:

4+5+8+3+4=24

24/5=4.8

Step-by-step explanation:

88 X 0,15 =....

... X 1.05 = answer

Answer:

Step-by-step explanation:

i think you meant whats the probabilty of it being red

if thats what you meant, then it would be:

total number of marbles : 18

number of red marbles: 6

probability of the green marbles: 6/18

so the answer is 1/3

Answer:

You have 13 loonies and 7 quarters.

Step-by-step explanation:

Given that you have a handfull of loonies and quarters in your hand, and in total, there are 20 coins and the value of all of these coins equals $ 14.75, to determine how many loonies and how many quarters do you have the following calculation must be done:

Loonie = 1

Quarter = 0.25

1 - 0.25 = 0.75

20 x 0.25 = 5

14.75 - 5 = 9.75

9.75 / 0.75 = 13

13 x 1 + 7 x 0.25 = X

13 + 1.75 = X

14.75 = X

Therefore, you have 13 loonies and 7 quarters.

Answer:

3/8 divided by 5/6

Step-by-step explanation:

To divide a fraction by a fraction, you multiply the first fraction by the reciprocal (aka the fraction flipped upside down, in this case the reciprocal of 5/6 is 6/5). Since 6/5 is greater than 5/6, 3/8 divided by 5/6 is greater than 3/8 times 5/6.

Answer:

[tex]\frac{3}{8}[/tex] ÷ [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\frac{15}{64}[/tex] is 0.234375

[tex]\frac{9}{20}[/tex] is 0.45

0.234375 < 0.45

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