Suppose triangle ABC is reflected over the x-axis. If the distance between point A and A’ is 14, what is the distance between the x-axis and A’.

1. 7

2. -7

3. 3.5

4. There is not enough information given.

9514 1404 393

Answer:

  p(x) = x³ -3x²+4x -2

Step-by-step explanation:

When the polynomial has real coefficients, the complex roots come in conjugate pairs. You are given one root as 1+i, so there is another that is 1-i.

Each root r gives rise to a factor (x -r). Then the three roots tell you the factorization is ...

  p(x) = (x -1)(x -(1+i))(x -(1-i))

The last two factors can be recognized as the factors of the difference of squares:

  ((x -1) +i)((x -1) -i) = (x -1)² -i²

  = (x² -2x +1) -(-1) = x² -2x +2

Now the whole polynomial can be seen to be ...

  p(x) = (x -1)(x² -2x +2) = x(x² -2x +2) -1(x² -2x +2)

  p(x) = x³ -2x² +2x -x² +2x -2 . . . . eliminate parentheses

  p(x) = x³ -3x²+4x -2

Answer:

B. Similar - AA

Step-by-step explanation:

Two angles in ∆ABC are congruent to two corresponding angles in ∆DEF. Thus, it follows that the third pair of angles of both triangles would also be congruent.

Therefore, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.

This satisfies the AA Similarity Criterion. Therefore, ∆ABC ~ ∆DEF by AA.

Answer:

A={x: x is a cat}

B={x: x likes climbing on trees}

My little cat Louis likes climbing on trees (Louis is in the intersection of the two sets)

A={x: x is a town in the USA}

B={x: x is a town in the UK}

To improve my English I'd like to go on holiday to a town in the USA, but a town in the UK would work too (the town shall be in the union of the two sets)

Answer:

[tex] { - 3}^{2} + (4 + 7)(2) \\ = - 9 + 22 \\ = 13[/tex]

Answer:

They are supplementary and their sum is 180°

w = 45 + 60 or w = 105

z = 180 - 105 or z = 75

Answer:

3/2 + 7

Step-by-step explanation:

Answer:

ok so what i think your trying to ask is if we roll two dice that the sum will be more then 6

Two dice

Assuming that the dice are unbiased or not " loaded".

Each side has the same probability, is 1/6 =0.16667, to turn up when rolled, if the die (D) is unbiased. The probability of a side turning up on D1 when 2 dice ( D1,D2) are rolled, is independent of the side turning up in D2. So this is an independent event.

How many ways can one get a sum total of 6 if D1 &D2 are rolled at the same time?

These are the possibilities

Case 1.

D1 =1 & D2=5

Or

D1= 5 & D2=1

Case 2.

D1 =2 & D2=4

Or

D1= 4 & D2= 2

Case 3. D1=3, D2=3

P3 =0.027778

Let's say, P 1 the probability for case 1 and P2 for case 2. There are no other cases.

The final probability P and is the sum total P = P1 + P2 + P3 the probability law of mutually exclusive events.

P1= 0.02778+ 0.02778 =0.055558

P2= 0.02778+0.02778 =0.055558

Same way,

P3=0.027778, when there is only one way to get the sum 6.

So, P = 0.138894

Based on truncating at the sixth decimal place.

A visual representation with two unbiased dice and the possible cases would also give the same result and is a short cut method. I like to derive from the basics.

Hope This Helps!!!

Answer:

see image

Step-by-step explanation:

Answer:

(73.845 ; 76.155) ;

(41.633 ; 48.367) ;

1.273 ;

C. With 99% confidence, the mean width of all widgets is between 11.8 and 20.4. ;

1.717

Step-by-step explanation:

1.)

Given :

Mean, xbar = 75

Sample size, n = 24

Sample standard deviation, s = 3.3

α = 90%

Confidence interval = mean ± margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 90% ; df = 24 - 1 = 23

Tcritical = 1.714

Margin of Error = 1.714 * 3.3/√24 = 1.155

Confidence interval = 75 ± 1.155

Confidence interval = (73.845 ; 76.155)

2.)

Given :

Mean, xbar = 45

Sample size, n = 37

Sample standard deviation, s = 10.1

α = 95%

Confidence interval = mean ± margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 95% ; df = 37 - 1 = 36

Tcritical = 2.028

Margin of Error = 2.028 * 10.1/√37 = 3.367

Confidence interval = 45 ± 3.367

Confidence interval = (41.633 ; 48.367)

3.)

Given :

Mean, xbar = 37

Sample size, n = 30

Sample standard deviation, s = 4.1

α = 90%

Margin of Error = Tcritical * s/√n

Tcritical at 90% ; df = 30 - 1 = 29

Tcritical = 1.700

Margin of Error = 1.700 * 4.1/√30 = 1.273

5.)

Sample size, n = 23

Confidence level, = 90%

df = n - 1 ; 23 - 1 = 22

Tcritical(0.05, 22) = 1.717

Answer:

height = 3

Step-by-step explanation:

x(x+6) = 27

x^2 + 6x - 27 = 0

(x+9)(x-3) = 0

x = 3

Answer:

The first graph

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

180-76=104

Answer:

104

Step-by-step explanation:

heres my proof. have a nice day :)

Answer:

Sum= 5000005

Difference= 4999995

Step-by-step explanation:

The place value of 5 in the number 35086941 is 5000000

The face value is 5

The sum between the face value and place value can be calculated as follows

°= 5000000+5

= 5000005

The difference can be calculated as follows

= 5000000-5

= 4999995

Answer:

8(1/x) = 4(1/10)

Step-by-step explanation:

lets say the number is x

eight times the reciprocal of a number equals 4 times the reciprocal of 10

  8       *                       1//x                            =        4    *         1/10

8/x = 4/10 ,  cross multiply

4x =8*10, divide both sides by 4

x= 80/4

x= 20

Answer: 1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet

2. 3ft 8in = 3 8/12 or reduced to 3 2/3  12ft 3in = 12 3/12 or reduced to 12 1/4   The fractional part is referring to a fraction of a foot.

3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3  P= 31 5/6 feet

4. The estimate and the actual are very close. They are 1/6 of a foot apart.

5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.

5b. Take the total and divide it by 8ft  = 29 7/12 divided by 8= 3.7  You are not buying a fraction of a board so you would need 4 boards.

Answer:

58°

Step-by-step explanation:

Given that,

The measure of two interior angles are 68° and 54º.

We need to find the measurement of the third interior angle.

We know that, the sum of angles of a triangle is equal to 180°. Let the angle is x. So,

x+68+54 = 180

x+122 = 180

x = 180-122

x = 58°

So, the measure of the third interior angle is equal to 58°.

Answer:

Step-by-step explanation:

Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.

The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.

The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).

The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320

(0+4)^3*(0-1)*k = 320

-64k = 320

k = -5

Combining all three conditions, f(x)

= -5(x+4)^3*(x-1)

= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)

= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)

= -5(x^4 + 11x^3 + 36x^2 + 16x -64)

= -5x^3 -55x^3 - 180x^2 - 80x + 320

Answer:

Step-by-step explanation:

-4 is a root for 3 times and 1 is root for once

so (x+4)^3 * (x-1) is part of f(x)

the constant term there is 4^3*(-1)=-64

so there is a multiplier of 320/-64=-5

f(x) = -5 * (x+4)^3 * (x-1)

Question

Simplify

[tex]2(12 - \frac{18}{3} + 4)[/tex]

Answer:-

ATQ->

[tex]2(12 - ( \frac{ \cancel{18}^{ \: \: \: 6} }{3} ) + 4 \\ 2(12 - 6 + 4) \\ 2(16 - 6) \\ 2(10) \\ 20 \: \: is \: your \: ans[/tex]

Answer:

Depends on how the 3 and the 18 are positioned in the fractions on the equation.

47/3

4

Step-by-step explanation:

Step 1. To simplify this, you need to know one of the most basic sayings in math which summarizes the Order of Operations: PEMDAS

Using PEMDAS:

P- Parenthesis

E- Exponents

M- Multiply

D- Divide

A- Add

S- Subtract

P- Parenthesis: We start off by preforming the parts of the equation within the parenthesis.

The 2 on the outside of the parenthesis, will not affect anything until we deal with what is inside the parenthesis.

The next part that we do, is to go through the rest of the steps, looking for either exponents, multiplication or division, skipping over the adding and subtracting until those are done.

The next part that we see, is Division.

D- Division

We find the point of division after the 18. The value we get has to be either:

a. 3/18

b. 18/3

depending on what you were asking for.

The equation, 2(12-18\3+4) at the bolded point, states that the division should be 1/6 because of the way of the division symbol.

Now the equation should either be one of the following:

a. 2(12-1/6+4)

b. 2(12-6+4)

A-Addition

Now, we can add the 4 to the number we got before, which should get us either

A. 1/6+4

B. 6+4

which added together gets us either

A. 25/6<=>4+1/6

B. 10

S-Subtraction

Now, we subtract both parts from the value of 12 getting us:

A. 12-(4+1/6)=12-4-1/6=8-1/6=7+5/6<=>47/6

B. 12-10=2

M-multiply:

Now we move on to the 2 we put aside earlier and multiply both of the answers:

A. 2(47/6)=47/3 or 15+2/3

B. 2(2)=4

Thus the answer is either 47/3 or 4

Answer:

2.25 miles per hr

Answer:

2.25 miles per hour

Step-by-step explanation:

speed = distance / time

speed = [tex]\frac{3}{4} / \frac{1}{3}[/tex] (take the reciprocal of [tex]\frac{1}{3}[/tex])

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

= [tex]\frac{9}{4}[/tex] = 2.25 miles per hour

Answer:

1.55

2.66

1.631

Step-by-step explanation:

Given :

x: 0 1 2 3 4 5

P(x): .27 .28 .20 .15 .08 .02

The expected mean, E(X) = Σ(x*p(x))

E(X) = (0*0.27)+(1*0.28)+(2*0.20)+(3*0.15)+(4*0.08)+(5*0.02)

E(X) = 1.55

The expected variance :

Σx²*p(x) - E(X)

(0^2*0.27)+(1^2*0.28)+(2^2*0.20)+(3^2*0.15)+(4^2*0.08)+(5^2*0.02) - 1.55

4.21 - 1.55 = 2.66

The standard deviation :

√variance = √2.66 = 1.631

Answer:

60 ft

Step-by-step explanation:

The answer has to be in feet units

Now that we know the height is 5 cm equivalent to 150 feet, what is the width of the building in feet units

5 cm = 150 ft

Rule: multiply cm by 30 to get the ft

2 cm = ?

2 cm × 30 = 60 ft

2 cm = 60 ft

Answer:

Answer:

-3

Explanation:

The given equation is in slope-intercept form. The format of slope-intercept is y = mx + b, where m is the slope and b is the y-intercept.

The slope is the coefficient of x.

In the equation y = -3x + 7, the slope is -3, because -3 is the coefficient of x.

Answer:

A. No, ADEF, and AGHI aren't congruent because they don't share a side.

----------------------------

hope it helps...

have a great day!!

Answer:

6x + y

Step-by-step explanation:

6x + 3y/3​

6x + y

Answer:

6x + y

Step-by-step explanation:

6x + 3y / 3

cancel 3y by 3

6x + y

Answer:

answer is in the pic Mark me brainliest plz

Step-by-step explanation:

Answer:

The probability of the first alarm failing is  (1 - 0.8) = 0.2

The probability of the second alarm failing is (1−0.9)=0.1.

Using the multiplication rule (since A and B are independent), the probability of failure is 0.2 * 0.1 = 0.02

Step-by-step explanation:

Answer:

.20

Step-by-step explanation:

take the two digit % and move the decimal two places to the left

Answer: 0.2

Step-by-step explanation: 20/100 is 1/5 and 1/5 means 1 divided by 5 so the answer is 0.2

Finding the line of best fit is something a Machine Learning Model would do.

This particular ML model is called "Linear Regressor" or "Linear Regression Model". Look it up and there are definitely calculators for it, as it is relatively simple.

You can also, if you know how to use ML libraries and code, use Python to determine the value of [tex]b[/tex].

Hope this helps.

Answer:

a) r ⋀~p

b)(r⋀p)⟶q

c) ~r ⟶ ~q

d) (~p ⋀r) ⟶q

Step-by-step explanation:

To solve this question we will make use of logic symbols in truth table.

We are told that;

p means "The user enters

a valid password,”

q means “Access is granted,”

r means “The user has paid the

subscription fee”

A) The user has paid the subscription fee, but does not enter a valid

password.”

Fist part of the statement is correct and so it will be "r". Second part of the statement is a negation and will be denoted by ~p. Since both statements are joined together in conjunction, we will use the conjuction symbol in between them which is "⋀" Thus, we have; r ⋀~p

B) Still using logic symbols, we have;

(r⋀p)⟶q

⟶ means q is true when r and p are true.

C) correct symbol is ~r ⟶ ~q

Since both statements are negation of the question. And also, if ~r is true then ~q is also true.

D) Similar to answer A to C above, applying similar conditions, we have (~p ⋀r) ⟶q

Answer:

z (min)  =  2079

L = 26     D =  39.6    S  =  16.5

Step-by-step explanation:

L  numbers of hours assigned to Lisa

D numbers of hours assigned to David

S numbers of hours assigned to Sara

Objective Function to minimize:

z = 30*L  +  25*D  +  18*S

Constraints:

Total time available

L  +  D  +  S  ≤ 110

Lisa experience

L  ≥  0.4 *  ( L + D )  then    L ≥ 0.4*L  +  0.4*D

0.6*L - 0.4*D ≥ 0

To provide designing experience to Sara

S ≥ 0.15*110        then     S ≥ 16.5

Time for Sara

S  ≤ 0.25 * ( L + D )     S ≤ 0.25*L  +  0.25*D   or    -0.25*L - 0.25*D + S ≤0

Availability of Lisa

L ≤ 50

The Model is:

z = 30*L  +  25*D  +  18*S  to minimize

Subject to:

L  +  D  +  S  ≤ 110

0.6*L - 0.4*D ≥ 0

S ≥  16.5

-0.25*L - 0.25*D + S ≤0

L ≤ 50

L ≥   0  ;   D  ≥  0  , S  ≥  0

After  6  iterations  optimal ( minimum ) solution is:

z (min)  =  2079

L = 26     D =  39.6    S  =  16.5

The formula that can be used to determine the number of hours each graphic designer should be assigned to the project to minimize the total cost is z = 30L + 25D + 18S and the minimum z is 2079.

Given :

The formula that can be used to determine the number of hours each graphic designer should be assigned to the project to minimize the total cost is given by:

z = 30L + 25D + 18S

The constraints are given by:

1) L + D + S [tex]\leq[/tex] 110

2) L [tex]\geq[/tex] 0.4(L + D)  

   L [tex]\geq[/tex] 0.4L + 0.4D

   0.6L - 0.4D [tex]\geq[/tex] 0

3) S [tex]\geq[/tex] 0.15(110)

   S [tex]\geq[/tex] 16.5

Now, to minimize 'z' then use:

[tex]\rm -0.25L-0.25D+S\leq 0[/tex]

L [tex]\leq[/tex] 50

L [tex]\geq[/tex] 0, D [tex]\geq[/tex] 0, S [tex]\geq[/tex] 0

Now, the minimum z is given by:

z = 2079

L = 26,  D = 39.6,  S = 16.5

For more information, refer to the link given below:

https://brainly.com/question/23017717