ASAP
How many different arrangements can made using the letters of the word ATHABASCA if...
(a) Each arrangement begins with three A's.

(b) Each arrangement must begin with only two ffs . (The third letter can't be an A)

Answer:

I think its a equation the solution is what the equation equals like the answer to it

Step-by-step explanation:

Im not that sure sorry

(a) A continuous function defined on an open interval with a range equal to a closed interval is f(x) = 1/(x - 1) on the open interval (0,1), which has range [1, +∞),

(b) It is impossible for a continuous function defined on a closed interval to have a range equal to an open interval,

(c) An example of a continuous function defined on an open interval with a range equal to an unbounded closed set different from R is f(x) = tan(x) on the open interval (-π/2, π/2), which has range [-∞, +∞),

(d) It is impossible for a continuous function defined on all of R to have a range equal to Q, the set of rational numbers.

(a) One example of a continuous function defined on an open interval with a range equal to a closed interval is f(x) = 1/(x - 1) on the open interval (0,1), which has range [1, +∞).

(b) It is impossible for a continuous function defined on a closed interval to have a range equal to an open interval. This is a consequence of the intermediate value theorem, which states that a continuous function on an interval takes on every value between the values it takes on at the endpoints of the interval.

(c) One example of a continuous function defined on an open interval with range equal to an unbounded closed set different from R is f(x) = tan(x) on the open interval (-π/2, π/2), which has range [-∞, +∞).

(d) It is impossible for a continuous function defined on all of R to have a range equal to Q, the set of rational numbers. This is a consequence of the fact that the irrational numbers are dense in R, meaning that between any two distinct rational numbers, there exists an irrational number. Since a continuous function preserves the property of connectedness, the range of such a function must also be connected. However, Q is not connected, as it can be written as the union of two disjoint open sets, namely Q and its complement in R.

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The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

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The height of given right  triangle trigonometry is = 448.043243m

A right triangle is a type of triangle that has one of its interior angles measuring exactly 90 degrees (i.e., a right angle). The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs of the right triangle.

Let ABC and ΔABD are right triangle and BD be X

given that,

∠ACB = 41.2°

∠ADB = 52.5°

CD = 168m

BD = X

Proof - In ΔACB

tan 41.2° = AB/BC

0.875433823 = h/BC

0.875433823 = h/CD + BD ( BC = CD + BD)

0.875433823 = h/ 168 + x ( ∵ Assumed CD = x)

168 + x = h/0.875433823

x = h - 168 /0.875433823 (equ. 1)

Now, In ADB

tan 52.5 = AB/BD

1.30322537 = h/x

x = h/1.30322537 ( equ. 2)

from equ. 1 and 2

h - 168/0.875433823 = h/1.30322537

h/0.875433823 - h/1.30322537 = 168

0.427791547h/1.14088757 = 168

0.427791547h = 168 × 1.14088757

h = 191.669112/0.427791547

h = 448.043243m

So,the height of right triangle trigonometry is 448.043243m

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The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

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Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

From the question, we have the following parameters that can be used in our computation:

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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Answer:

B

Step-by-step explanation:

B: 3x + 2 =8

The first step to solving for X is isolating the variable, so we subtract 2 from both sides!

3x=6

Now we divide both sides by three to isolate the X:

X=2

i hope this helps!

pls give thx, and brainliest ;)

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

Answer:

250

5:15

true

i already helped you

Answer:

9- 4 hours 30 minutes

10- 250

11- False

Answer:

9

Step-by-step explanation:

3x^2 + 3x - 9

Substitute x = 2 into the equation.

3(2)^2 + 3(2) - 9

3(4) + 6 - 9

12 + 6 - 9

18 - 9 =

9

Answer:

Step-by-step explanation:

Given,

\( \frac{1}{ {6y}^{ - 2} } \)

Since,

\( {x}^{ab} = {( {x}^{a} )}^{b} \)

Hence,

\( = \frac{1}{ {( {6y}^{2} )}^{ - 1} } \)

Since,

\( \frac{1}{ {x}^{ - 1} } = x\)

Hence,

\( = {6y}^{2} (ans)\)

ANSWER: 1.211 or 13.211

Step-by-step explanation:

STEP

1

:

1.1     Evaluate :  (x-6)2   =    x2-12x+36  

Trying to factor by splitting the middle term

1.2     Factoring  x2-12x-16  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  -16  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -16 = -16  

Step-2 : Find two factors of  -16  whose sum equals the coefficient of the middle term, which is   -12 .

     -16    +    1    =    -15  

     -8    +    2    =    -6  

     -4    +    4    =    0  

     -2    +    8    =    6  

     -1    +    16    =    15  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

1

:

 x2 - 12x - 16  = 0  

STEP

2

:

Parabola, Finding the Vertex

2.1      Find the Vertex of   y = x2-12x-16

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).  

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.  

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.  

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   6.0000  

Plugging into the parabola formula   6.0000  for  x  we can calculate the  y -coordinate :  

 y = 1.0 * 6.00 * 6.00 - 12.0 * 6.00 - 16.0

or   y = -52.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2-12x-16

Axis of Symmetry (dashed)  {x}={ 6.00}  

Vertex at  {x,y} = { 6.00,-52.00}  

x -Intercepts (Roots) :

Root 1 at  {x,y} = {-1.21, 0.00}  

Root 2 at  {x,y} = {13.21, 0.00}  

Solve Quadratic Equation by Completing The Square

2.2     Solving   x2-12x-16 = 0 by Completing The Square .

Add  16  to both side of the equation :

  x2-12x = 16

Now the clever bit: Take the coefficient of  x , which is  12 , divide by two, giving  6 , and finally square it giving  36  

Add  36  to both sides of the equation :

 On the right hand side we have :

  16  +  36    or,  (16/1)+(36/1)  

 The common denominator of the two fractions is  1   Adding  (16/1)+(36/1)  gives  52/1  

 So adding to both sides we finally get :

  x2-12x+36 = 52

Adding  36  has completed the left hand side into a perfect square :

  x2-12x+36  =

  (x-6) • (x-6)  =

 (x-6)2

Things which are equal to the same thing are also equal to one another. Since

  x2-12x+36 = 52 and

  x2-12x+36 = (x-6)2

then, according to the law of transitivity,

  (x-6)2 = 52

We'll refer to this Equation as  Eq. #2.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-6)2   is

  (x-6)2/2 =

 (x-6)1 =

  x-6

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  x-6 = √ 52

Add  6  to both sides to obtain:

  x = 6 + √ 52

Since a square root has two values, one positive and the other negative

  x2 - 12x - 16 = 0

  has two solutions:

 x = 6 + √ 52

  or

 x = 6 - √ 52

Solve Quadratic Equation using the Quadratic Formula

2.3     Solving    x2-12x-16 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     1

                     B   =   -12

                     C   =  -16

Accordingly,  B2  -  4AC   =

                    144 - (-64) =

                    208

Applying the quadratic formula :

              12 ± √ 208

  x  =    ——————

                     2

Can  √ 208 be simplified ?

Yes!   The prime factorization of  208   is

  2•2•2•2•13  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 208   =  √ 2•2•2•2•13   =2•2•√ 13   =

               ±  4 • √ 13

 √ 13   , rounded to 4 decimal digits, is   3.6056

So now we are looking at:

          x  =  ( 12 ± 4 •  3.606 ) / 2

Two real solutions:

x =(12+√208)/2=6+2√ 13 = 13.211

or:

x =(12-√208)/2=6-2√ 13 = -1.211

Answer: X=root of14 -6; x = -root of14 -6

Explanation: Symbolab.com

Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

Answer:

Laura tiene 15 años mientras que su madre tiene 35 años.

Step-by-step explanation:

Deje que la edad de Laura sea L.

Deje que la edad de su madre sea m.

Tiene 3/7 de la edad de su madre:

L = 3 m / 7

En 5 años, la edad de su madre será el doble de su edad:

(m + 5) = 2 (L + 5)

m + 5 = 2L + 10

m - 2L = 5

Pon el valor de L:

m - 2 (3 m / 7) = 5

m - 6 m / 7 = 5

Multiplica por 7:

7m - 6m = 35

m = 35 años

=> L = 3 * 35/7 = 15 años

Laura tiene 15 años mientras que su madre tiene 35 años.

Answer:

180

Step-by-step explanation:

The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:

A=10×18

A=180

The area of the parallelogram is 180 square units

Let A unit be a; B unit be b

a + b = 95

b = 95 - a

3a + 5b = 395

3a + 5(95 -a) = 395

3a + 475 - 5a = 395

-2a = -80

a = 40

a + b = 95

40 + b = 95

b = 55

Therefore, a = 40; b = 55.

Hope this helps

The 55 unit of products B were produced.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

A machine requires three hours to make a unit of Product A and five hours to make a unit of Product B.

Let x represents the time taken to make product A and y represents the time taken to make product B.

The machine operated for 395 hours.

So, x + y = 95.

y = 95 - x.

And the machine is producing a total of 95 units.

That means,

3x + 5y = 395.

3x + 5(95 - x) = 395

3x + 475 - 5x = 395

-2x = -80

x = 40.

y = 55.

Therefore, 55 products were unit of product B.

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A probability tree is a visual representation of the possible outcomes of an event or series of events. In this case, the event takes a marble out of the bag.

The first step in building a probability tree is to create a starting point that represents the first state of the problem. In this case, the starting point is a bag containing 3 green marbles and 5 white marbles.

The next step is to branch from the starting point and show the possible results of the first event. This includes taking out  the marble out of the bag. The probability of getting a green marble is 3/8 and the probability of getting a white marble is 5/8.

After the first event, the issue status changes. In this case, the bag contains 2 green marbles and 4 white marbles.

The next step is to branch out from the state after the first event and show the possible outcomes of his second event involving pulling another marble out of his pocket. The probability of getting a green marble is 2/6 and the probability of getting a white marble is 4/6. The final step is to label the endpoints of the tree with the possible outcomes of the problem and the probabilities of each outcome.

The probability tree starts with an sack of 3 green marbles and 5 white marbles, as shown in the design showing the possible outcomes of selecting a marble, the new state of the sack after each selection, and the probability of each outcome

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Answer:

B. A pencil

Hope it works

Answer:Printmaking is the process of creating artworks by the process of printing. It can be done on paper, brick, wood, and even metal.A lithographic is a planetographic process where the design is drawn into a flat stone and is prepared by use of metal. As per the paintings shows the artwork shows us the rhinosaruers. The painting is made from water and oil.Hence the painting B shows us the use of lithography.

Answer:

Step-by-step explanation:

-3√(4)(10)  - √(16)(10)

-3(2)√(10) - 4√(10)

-6√(10) - 4√(10)

-10√(10)

The answer to question of trail mix in ascending order would be, 1/2 cup cereal, 3/4 cup raisins, 1/3 cup almonds, 2/3 cup peanuts.

The order of ingredients from least to greatest for Juan's trail mix recipe is: 1/2 cup cereal, 3/4 cup raisins, 1/3 cup almonds, and 2/3 cup peanuts. Juan's mother provided the recipe which consists of a combination of dried fruits, nuts, and cereal. The recipe calls for 1/2 cup of cereal, which is the least amount of any of the ingredients. The next ingredient is 3/4 cup of raisins, followed by 1/3 cup of almonds, and finally 2/3 cup of peanuts, which is the greatest amount of any of the ingredients. These ingredients can be combined and enjoyed as a snack.

Hence the answer is, 1/2 cup cereal, 3/4 cup raisins, 1/3 cup almonds, 2/3 cup peanuts.

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Answer:

True

Step-by-step explanation:

Because -5 x -5 = -25

The y-coordinate of -3f(x-1) when x = 0 is -63

From the question, we have the following parameters that can be used in our computation:

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer: y=(x-3)^2 -14

Step-by-step explanation:

use the formula (b/2)^2 to create a new term to complete the square

Answer: hello some data is missing from your question attached below is the missing data

answer :

At 10% significance level ; critical value with the dynamic system = -1.3637

                                           critical value with the static system = - 1.4759

hence the data provided is sufficient evidence that mean number of acute postoperative days in the hospital is smaller with the dynamic system

Step-by-step explanation:

At 10% significance level ; critical value with the dynamic system = -1.3637

                                           critical value with the static system = - 1.4759

hence the data provided is sufficient evidence  

Given ∝ = 0.10

i) mean number of dynamic system = ( x1 ) = 7.08

s1 ( std of sample ) = 1.51

sample size = 12

df ( degree of freedom ) = n - 1 = 11

Hence critical value :  t∝,11 = -1.3637 ( = T.INV(0.1,11)

ii) mean number of static system

( x2 ) = 11.33

s2 ( std of static sample ) = 3.83

sample size = 6

df( degree of freedom ) = n -1 = 5

critical value = t∝,5 = -1.4759  ( = T.INV(0.1,5) )

Answer:

  (b) 27°

  (c) 34°

  ( ) 27°

Step-by-step explanation:

Angle relations involving lines, parallel lines, and triangles come into play here.

The interior angles at W and Y will be the supplement of the exterior angles at those points. The sum of interior angles is 180°.

  (180° -6x) +90° +(180° -4x) = 180°

  270° = 10x . . . . . . . . . add 10x and simplify

  27° = x

The vertical angles at S are congruent. This tells us ...

  3x +∠PSQ = 4x

  ∠PSQ = x

The sum of angles in triangle PSQ is 180°, so we have ...

  x +x +(180° -68°) = 180°

  2x = 68° . . . . . . . . add 60°-180°

  x = 34° . . . . . . . . . divide by 2

Angles BAD and EDF are corresponding angles, hence congruent. The sum of angles in triangle BAD is 180°.

  2x +2x +72° = 180°

  4x = 108° . . . . . . subtract 72°

  x = 27° . . . . . . . . divide by 4

Step-by-step explanation:

-x ÷ 2 < 12

multiply both sides by 2

-x < 24

multiply by -1 , your change the inequality

x > -24