Which sequence of transformations on preimage Triangle ABC will NOT produce the image A’B’C’

Answer:

6 units

Step-by-step explanation:

Distance between 2 points

[tex] = \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} } [/tex]

Thus, distance between (-3, 5) and (-9, 5)

[tex] = \sqrt{( - 3 - ( - 9))^{2} + (5 - 5)^{2} } \\ = \sqrt{( - 3 + 9)^{2} } \\ = \sqrt{6 ^{2} } \\ = 6[/tex]

Alternatively, notice that this line is a horizontal line as both points have the same y-coordinate of 5.

Thus, distance between the 2 points

= -3 -(-9)

= -3 +9

= 6 units

Answer:

Step-by-step explanation:

According to SOH in SOH, CAH TOA;

SOH means  sin theta = opposite/hypotenuse = 2/3

This shows that opposite = 2 and hypotenuse = 3. Before we can determine which of the expression is possible, we need to find the third side of the rigt angled triangle which is the adjacent.

According to Pythagoras theorem; hyp² = opp²+adj²

adj² = hyp² - opp²

adj² = 3² - 2²

adj² = 9 - 4

adj² = 5

adj = √5

Hence the adjacent side is √5.

From the trigonometry identity above;

cos theta = adj/hyp = √5/3 and tan theta = opp/adj = 2/√5

Since sec theta = 1/cos theta then sec theta = 1/(adj/hyp)

sec theta = hyp/adj = 3/√5

From the above calculation, the following are possible:

cos theta = √5/3, tan theta = 2/√5 and sec theta = 3/√5

The correct options are C and D

Answer:

There are 2 * 32 = 64 possible ways for choosing three course meal.

Step-by-step explanation:

1-If we choose an appetizer, main course and a soup then there are 32 ways to choose this three course meal. 4 * 2 * 4 = 32 ways. There will be an appetizer, main course and a soup in the meal.

2-If we choose a soup, main course and a dessert then there are 32 ways to choose this three course meal. 4 * 2 * 4 = 32 ways. There will be a soup, main course and a dessert in the meal.

There are 2 possible ways to choose either an appetizer or dessert in a 3 course meal. There will be 64 ways in total for the three course meal.

Here is the step by step answer. hope it helps!

The solution to the quadratic equation x² - 3x + 8 = 0 is given by

x = ( 3/2 ) ± i ( √23/2 )

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

x² - 3x = -8  

Adding 8 on both sides of the equation , we get

x² - 3x + 8 = 0   be equation (1)

Now , on simplifying the equation , we get

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

Substituting the values in the equation , we get

x = [ - ( -3 ) ± √ ( -3 )² - ( 4 ) ( 1 ) ( 8 ) ] / 2

On simplifying the equation , we get

x = [ 3 ± √ ( 9 - 32 ) ] / 2

x = ( 3/2 ) ± √ ( -23 ) / 2

x = ( 3/2 ) ± i ( √23/2 )

where i² = -1

Therefore , the value of x is  x = ( 3/2 ) + i ( √23/2 ) , x = ( 3/2 ) - i ( √23/2 )

Hence , the solution to the equation is x = ( 3/2 ) ± i ( √23/2 )

To learn more about quadratic equations click :

https://brainly.com/question/25652857

#SPJ2

Answer:

Option (C)

Step-by-step explanation:

Let the red cases sold = r

and the number of white cases sold = w

Total number of cases sold by the winery = 81

r + w = 81 -------(1)

If number of red cases sold is twice of white cases sold,

r = 2w ------- (2)

By substituting the value of r from equation (2) to equation (1),

2w + w = 81

3w = 81

w = 27 cases

From equation (1),

r + 27 = 81

r = 54 cases

Therefore, number of white cases sold are 27 cases

Option (C) is he answer.

Answer:

The  margin of error is [tex]MOE = 9.68[/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is [tex]n= 16[/tex]

     The  standard deviation is [tex]\sigma = 15[/tex]

     The  confidence level is  [tex]C = 99[/tex]%

Generally the level of significance is mathematically evaluated as

     [tex]\alpha = 100 - C[/tex]

     [tex]\alpha = 100 - 99[/tex]

     [tex]\alpha = 1%[/tex]%

   [tex]\alpha = 0.01[/tex]

The  critical value of  [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is  

     [tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]

The  reason obtaining the critical value of  [tex]\frac{\alpha }{2}[/tex] instead of  [tex]\alpha[/tex] is because we are  considering the two tails of the area normal distribution curve which is not inside the 99% confidence interval

   Now the margin of error is evaluated as

              [tex]MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]

substituting values

            [tex]MOE = 2.58 * \frac{15}{\sqrt{16} }[/tex]

           [tex]MOE = 9.68[/tex]

Answer: 23 cans of soda/4 people.

or (23/4) cans of soda per person.

Step-by-step explanation:

So we have the rate:

46 cans of soda/ 8 people

First, 46 and 8 are multiples of 2, so we can divide both numerator and denominator by 2:

46/2 = 23

8/2 = 4

Then the rate can be:

23 cans of soda/4 people.

Now 23 is a prime number, so we can not simplify it furthermore

Answer:

The variable n represents the number of times in a year in which we compound the interest rate

Step-by-step explanation:

The periodic compound interest formula is given as;

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

The variable n represents the number of times in a year in which the interest rate is compounded

Answer: 0.5

Step-by-step explanation:

If the probability of the time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. Therefore, the probability that a flight is between 125 and 140 minutes is 0.5

Answer:

B. [tex]\frac{6}{2x^{2} - 5x}[/tex]

Step-by-step explanation:

The product of the ratioal expressions given above can be found as follows:

[tex] = \frac{2}{x} * \frac{3}{2x - 5} [/tex]

Multiply the denominators together, and the numerators together, separately to get a single expression

[tex] \frac{2(3)}{x(2x - 5)} [/tex]

[tex] = \frac{6}{x(2x) - x(5)} [/tex]

[tex]= \frac{6}{2x^{2} - 5x}[/tex]

The product of the expression [tex]\ = \frac{2}{x}*\frac{3}{2x - 5}[/tex] = [tex]\frac{6}{2x^{2} - 5x}[/tex]

The answer is B.

The correct answers are Part 1: 7x + 12y  50, x,y 0; Part 2: 7; Part 3: 0: Part 4: 2 old and 3 new video games.

Step-by-step explanation:

Penny's parents gave her $50 to buy new video games.

Price of used games are $7 and new games are $12.

Let Penny buy x number of old video games and y number of new video games.

Part 1:

Total price she spent on buying the video games are 7x + 12y.

This amount should be less than or equal to the amount of money she possess. therefore 7x + 12y  50, x, y  0.

Part 2:

Maximum number of used game she can buy can be given when she spends all her money just on used games. Therefore y = 0. This implies x .

Thus the maximum number of used game she can buy is 7 where she does not buy any new game and has $1 left with her after the purchase.

Part 3:

Minimum number of new games that Penny can buy is zero. She can not buy any new games and spent all her money purchasing old games.

Part 4:

The possible combination in which she can purchase both the video games is 2 old games and 3 new games.

hope this helps

Answer:

y={-5,-4,-5/2,-13/3}

Step-by-step explanation:

a.f(-2)=y=1/2(x)-4

substitute -2for x

y=1/2(-2)-4

y=-1-4

y=-5

b.f(0)

y=1/2(0)-4

y=0-4

y=-4

c.f(3/2)

y=1/2(3/2)-4

3/2-4

find the L.C.M=2

3/2-4/1

3-8/2

-5/2

d.f(-2/3)

y=1/2(-2/3)-4

-2/6-4

2 into itself 1 ,2 into 6 ,3

-1/3-4

find the least common multiple equal to 3

-1/3-4/1

-1-12/3

y=-13/3

Answer:

 P [ Z >  24,1 ] =  72,24 %

Step-by-step explanation:

P [ Z > 24,1 ]  =  1  - P [ Z < 24,1 ]

P [ Z < 24,1 ] = ( Z - μ₀ ) / σ

P [ Z < 24,1 ] = ( 24,1 - 25,4) / 2,1

P [ Z < 24,1 ] = - 1,3/ 2,1

P [ Z <  24,1 ] = - 0,6190  ≈ - 0,62

We look in z-table and find for  z(score) -0,6190

P [ Z <  24,1 ] = 0,27763

Then

P [ Z >  24,1 ] = 1 - 0,27763

P [ Z >  24,1 ] = 0,72237    ⇒    or       P [ Z >  24,1 ] =  72,24 %

Answer:

L = 45°

Step-by-step explanation:

1. 82° + 53° = 135°

2. 180° - 135° = 45°

3. Angle L is 45°

I hope this helps.

Answer:

[tex]\large \boxed{\bf \sf \ \ \ 7x-9 = 3(x+2) \ \ \ }[/tex]

Step-by-step explanation:

Hello,

x represents this number and we know that

the difference between seven times this number and 9

   7*x - 9

is equal to three times the sum of this number and 2

   3(x+2)

So we can write

[tex]7x-9 =3(x+2) \\\\7x-9 =3x+6 \ \ \text{distributive law} \\\\7x-9-3x=3x+6-3x =6 \ \ \text{subtract 3x} \\\\4x-9+9=6+9 \ \text{add 9} \\\\4x=15 \ \ \text{divide by 4} \\\\ \boxed{x=\dfrac{15}{4}}\\[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

23 dimes, 32 nickels

Step-by-step explanation:

Let n equal the number of nickels and d be the number of dimes. We can use the information given to create a system of equations, as follows:

The total number of coins (the number of nickels plus the number of dimes) is 55, giving us the equation n + d = 55.

The total amount is $3.90. Since each nickel is worth $0.05 and each dime is worth $0.10, we get the equation 0.05n + 0.10d = 3.90.

Multiplying the second equation by 20, we get n + 2d = 78. We can subtract the first equation to get d = 23. Substituting this into the first equation, we get that n = 32.

Therefore, there are 23 dimes and 32 nickels.

Answer: 100 penny 2 qtrs 50 noclke

Step-by-step explanation:

Answer:

K = 40

Step-by-step explanation:

As they said that 28 is 12 less than K , it means that you've to add them to get the answer. So , 28 + 12 = 40 which is represented by the variable "K"

Hope it helps and pls mark as brainliest : )

Answer:

Step-by-step explanation:

28 is 12 less than k

Let's create an equation:

[tex]28 = k - 12[/tex]

Now, let's solve:

[tex]28 = k - 12[/tex]

Move variable to L.H.S and change its sign

Similarly, Move constant to R.H.S and change its sign

[tex] - k = - 12 - 28[/tex]

Calculate the difference

[tex] - k = - 40[/tex]

Change the signs on both sides of the equation

[tex]k = 40[/tex]

Hope this helps...

Best regards!!

Answer:

Ok, we have a total of 26 letters, and we want to select 5 of them.

Of the 26 letters, 21 are consonants and 5 are vowels.

Suppose that we want to have the consonant in the first selection, so the probability of picking a consonant is equal to the quotient between the number of consonants and the total number of letters.

p = 21/26

now a letter has been selected, so in the set, we have 25 letters left.

In the next 4 selections, we must select vowels.

In the second selection the probability is:

p = 5/25

in the third, the prob is:

p = 4/24 (we already selected one vowel before, so now we only have 4 vowels)

The fourth selection:

p = 3/23

and the last selection:

p = 2/22

The total probability is equal to the product of all the individual proabilities, so we have:

P = (2/22)*(3/23)*(4/24)*(5/25)*(21/26)

Now, remember that we said that the consonant must be in the first place, but it can be in any of the five places, so if we add the permutations of the consonant letter we have:

P = 5*(2/22)*(3/23)*(4/24)*(5/25)*(21/26) =  0.0018

Answer:

x = 7

Step-by-step explanation:

7 = 7

It's given

Answer: answer is: 1000000/19

Step-by-step explanation:

10/19 - 40k -> 10/19*40k= 400000/19

6/19- 60k -> 6/19*60k= 360000/19

3/19 - 80k -> 3/19*80k=240000/19

400000/19+360000/19+240000/19=1000000/19

answer is: 1000000/19

Answer:

a geometric figure labeled CD would be a segment

Step-by-step explanation: you need to attached the pictures with the question

Complete question is;

A researcher studying public opinion of proposed Social Security changes and asks a random sample of 30 adult Americans whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond​ yes, is approximately​ normal, how many adult Americans does the researcher need to sample in the following​ cases

(a) if 37​% of all adult Americans support the changes?

(b) 25% of all adults Americans support the changes?

Answer:

A) 13 adults

B) 23 adults

Step-by-step explanation:

A) We are given;

p = 37% = 0.37

Since we are told that this is an approximately normal distribution, we will use the formula;

np(1 - p) ≥ 10

Thus;

0.37n(1 - 0.37) ≥ 10

n ≥ 10/(0.63 × 0.37)

n ≥ 42.9

We need a whole number, thus n = 43

From the question, we have already 30 adults , so the required number of adults are; 43 - 30 = 13 adults

B) We are given;

p = 25% = 0.25

Since we are told that this is an approximately normal distribution, we will use the formula;

np(1 - p) ≥ 10

Thus;

0.25n(1 - 0.25) ≥ 10

n ≥ 10/(0.75 × 0.25)

n ≥ 53.33

n ≈ 53

From the question, we have already 30 adults , so the required number of adults are; 53 - 30 = 23 adults

Answer:

the first, second and last option are all correct

Step-by-step explanation:

just Googled and squares have congruent diagonals, and the definition of a rhombus is that all the sides and angles have to be equal and adjacent, and a square has those qualities, which would also make the last statement true.

a square have two pairs of parallel sides, making the fourth one incorrect

and a square is also a rectangle so the third one is wrong as well!! :)

Answer:  D.) The second difference is constant.

Step-by-step explanation:

The rate of change of a quadratic function is a linear function. The rate of change of that is constant, so second differences of a quadratic number pattern are constant.

Answer:

D.

Step-by-step explanation:

The approximate volume only applies when pi = 3.14

Use either answer, but not both of course.

===============================================

Work Shown:

V = volume of cylinder

V = pi*r^2*h

V = pi*2^2*8

V = pi*32

V = 32pi .... exact volume in terms of pi

V = 32*3.14

V = 100.48 .... approximate volume when we use pi = 3.14

Answer:

The required probability for the high temperature which 90% of the August days exceed. is 0.0333

Step-by-step explanation:

High temperatures in a certain city for the month of August follow a uniform distribution over the interval 61° F  to 91° F   . Find the high temperature which 90°  F of the August days exceed.

Let assume that X is the random variable

The probability mass function is:

[tex]f(x) = \dfrac{1}{b-a}[/tex]

[tex]f(x) = \dfrac{1}{91-61}[/tex]

[tex]f(x) = \dfrac{1}{30}[/tex]

Thus; The probability density function of X can be illustrated as :

[tex]f(x) = \left \{ {{ \ \ \dfrac{1}{30}} \atop { \limits }}_ \right. _0[/tex]       61 <  x < 91  or otherwise

The required probability for the high temperature at 90°  F can be calculated as follows:

[tex]P(X> 90) = \int\limits^{91}_{90} {f(x)} \, dx[/tex]

[tex]P(X> 90) = \int\limits^{91}_{90} \ {\dfrac{1}{30} \, dx[/tex]

[tex]P(X> 90) = {\dfrac{1}{30} \int\limits^{91}_{90} \ \, dx[/tex]

[tex]P(X> 90) = {\dfrac{1}{30} [x]^{91}_{90}[/tex]

[tex]P(X> 90) = {\dfrac{1}{30} (91-90)[/tex]

[tex]P(X> 90) = {\dfrac{1}{30} \times 1[/tex]

[tex]P(X> 90) = 0.0333[/tex]

The required probability for the high temperature which 90% of the August days exceed. is 0.0333

Answer: 97

Step-by-step explanation:

Formula to compute the required sample size :

[tex]n= (\dfrac{\sigma\times z_{\alpha/2}}{E})^2[/tex]

, where [tex]\sigma[/tex] = standard deviation

E= Margin of error

[tex]z_{\alpha/2}[/tex] = Two tailed z-value.

Here, E= 20

[tex]\sigma[/tex] = 100

For 95% confidence level: [tex]z_{\alpha/2}[/tex] =1.96

Required sample size:

[tex]n=(\dfrac{100\times1.96}{20})^2\\\\=(5\times1.96)^2\\\\=96.04\approx97[/tex]

Hence, the required sample size : 97

Answer:

-16-5q

Step-by-step explanation:

-6+4q-6q-6+4q-6q-6+4q-6q= -18-6q

Answer:C

Step-by-step explanation: 100% correct I did it on Khan Academy

Answer:

(2x - y)³ = 8x³ - 12x²y + 6xy² - y³

Step-by-step explanation:

Pascal's Theorem uses a set of already known and easily obtainable numbers in the expansion of expressions. The numbers serve as the coefficients of the terms in the expanded expression.

For the expansion of

(a + b)ⁿ

As long as n is positive real integer, we can obtain the coefficients of the terms of the expansion using the Pascal's triangle.

The coefficient of terms are obtained starting from 1 for n = 0.

- For the next coefficients of terms are 1, 1 for n = 1.

- For n = 2, it is 1, 2, 1

- For n = 3, it is 1, 3, 3, 1

The next terms are obtained from the previous one by writing 1 and summing the terms one by one and ending with 1.

So, for n = 4, we have 1, 1+3, 3+3, 3+1, 1 = 1, 4, 6, 4, 1.

The Pascal's triangle is

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

The terms can also be obtained from using the binomial theorem and writing the terms from ⁿC₀ all through to ⁿCₙ

So, for n = 3, the coefficients are 1, 3, 3, 1

Then the terms are written such that the sum of the powers of the terms is 3 with one of the terms having the powers reducing from n all through to 0, and the other having its powers go from 0 all through to n

So,

(2x - y)³ = [(1)(2x)³(-y)⁰] + [(3)(2x)²(-y)¹] + [(3)(2x)¹(-y)²] + [(1)(2x)⁰(-y)³]

= (1×8x³×1) + (3×4x²×-y) + (3×2x×y²) + (1×1×-y³)

= 8x³ - 12x²y + 6xy² - y³

Hope this Helps!!!

Answer:

g(x)

Step-by-step explanation:

The vertex of g(x) as shwon in the graph is located in the point wich coordinates are (3.5,6.25) approximatively

We need to khow the coordinates of f(x) vertex

f(x) = -x² + 4x -5

let a be the leading factor, b the factor of x and c the constant:

The coordinates of a vertex are: ([tex]\frac{-b}{2a}[/tex] , f([tex]\frac{-b}{2a}[/tex]) )

-b/2a = -4/ (-1*2) = 4/2 = 2

f(2)= -2²+4*2-4 = -4+4-4 = -4

obviosly f(x) has a minimum wich less than g(x)'s maximum

Answer:

Step-by-step explanation:

g(x) i think