What is the conjugate of
square root 8 - square root 9

Answer:

yes

Step-by-step explanation:

grehrehshbrenjt5rahtrere

Answer:

t = 1 ... one day

Step-by-step explanation:

3 x [tex]10^{18}[/tex] * [tex](.5)^{t}[/tex] = 6 x [tex]10^{18}[/tex] * [tex](.5)^{2t}[/tex]

3 x [tex]10^{18}[/tex]     =   [tex](.5)^{2t}[/tex] / [tex](.5)^{t}[/tex]  

6 x [tex]10^{18}[/tex]      

1/2 = [tex].5^{t}[/tex]

ln( 1/2)  = t ln( [tex].5[/tex]  )

t = ln( .5)/ln( [tex].5[/tex]  )

t = 1

If X and Y are Boolean variables, then X + Y represents disjunction (OR) and XY represents conjunction (AND), and X' denotes the negation (NOT). So X + Y = 1 if either X = 1 or Y = 1, and XY = 1 only if both X = 1 or Y = 1.

Now,

(X + Y) (X + Y') = XX + YX + XY' + YY'

… = X + X (Y + Y') + 0

… = X + X

… = X

or in table form,

[tex]\begin{array}{c|cccc}X&1&1&0&0\\Y&1&0&1&0\\Y'&0&1&0&1\\X+Y&1&1&1&0\\X+Y'&1&1&0&1\\(X+Y)(X+Y')&1&1&0&0\end{array}[/tex]

Answer:

Sydney's age = 42

Step-by-step explanation:

104 divided by 2 = 52

52 - 10 = 42

I am sorry if this is wrong. But this is what I learned at my school.

Answer:

x = y² + 12x

y² = x - 12

y² = -11x.

Step-by-step explanation:

We need to find the inverse of the given function , which is ,

[tex]\rm\implies y = x^2 + 12x [/tex]

Step 1 : Interchange x and y :-

[tex]\rm\implies x = y^2 + 12y [/tex]

But according to the steps given in the Question , in very first step in 12x , x is not replaced by y . After which , the steps go wrong in the question .

The 3 errors :-

(17) From the plot, you see that

Pr[$15,500 ≤ x ≤ $18,500] = 99.7%

We can split up the probability on the left at the mean, so that

Pr[$15,500 ≤ x ≤ $17,000] + Pr[$17,000 ≤ x ≤ $18,500] = 99.7%

Any normal distribution is symmetric about its mean, so the two probabilities here are the same. The one on the left is what you want to compute. So you have

2 × Pr[$15,500 ≤ x ≤ $17,000] = 99.7%

==>   Pr[$15,500 ≤ x ≤ $17,000] = 49.85%

(19) The mean of a normal distribution is also the median, so half the distribution lies to either side of the mean. Mathematically, we write

Pr[x ≥ $17,000] = 50%

The plot shows that

Pr[$16,500 ≤ x ≤ $17,500] = 68%

and by using the same reasoning as in (17), we have

Pr[$16,500 ≤ x ≤ $17,000] + Pr[$17,000 ≤ x ≤ $17,500] = 68%

2 × Pr[$17,000 ≤ x ≤ $17,500] = 68%

Pr[$17,000 ≤ x ≤ $17,500] = 34%

Now

Pr[x ≥ $17,000] = 50%

Pr[$17,000 ≤ x ≤ $17,500] + Pr[x ≥ $17,500] = 50%

34% + Pr[x ≥ $17,500] = 50%

==>   Pr[x ≥ $17,500] = 16%

(21) From the plot,

Pr[$16,000 ≤ x ≤ $18,000] = 95%

This means (by definition of complement) that

Pr[x ≤ $16,000 or x ≥ $18,000] = 100% - 95% = 5%

and by symmetry,

Pr[x ≤ $16,000 or x ≥ $18,000] = 5%

Pr[x ≤ $16,000] + Pr[x ≥ $18,000] = 5%

2 × Pr[x ≤ $16,000] = 5%

==>   Pr[x ≤ $16,000] = 2.5%

Answer:

y = mx + b

Step-by-step explanation:

This is the basic equation for a line where m is the slope and b is the y intercept.

Answer:

50r + a = 135

Admission cost was $85

Step-by-step explanation:

We are missing a crucial amount of information here. It is how much she spent on her admission. We can create an equation symbolizing this problem.

5r + a = 135

We know that she purchases 10 tickets so we can substitute that in r and solve for a.

50 + a = 135

a = 85

Best of Luck!

trả :lờingu

Step-by-step explanation:

Lets do

[tex]\\ \sf\longmapsto 2x + 24 = 30 \\ \\ \sf\longmapsto 2x = 30 - 24 \\ \\ \sf\longmapsto 2x = 6 \\ \\ \sf\longmapsto x = \frac{6}{2} \\ \\ \sf\longmapsto x = 3[/tex]

Answer:

12 lb   1 oz

Step-by-step explanation:

Add the amounts together

4lb 3oz ,

3 lb 9oz

4 lb 5 oz

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

11 lb  17 oz

But 16 oz is 1 lb so subtract 16 oz and add 1 lb

11 lb 17 oz

+1lb - 16 oz

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

12 lb   1 oz

9514 1404 393

Answer:

  x = (17/2)√2

Step-by-step explanation:

The ratios of sides of an isosceles right triangle are ...

  1 : 1 : √2

In this problem, that is identical to ...

  x : x : 17

That is, ...

  [tex]x=\dfrac{17}{\sqrt{2}}=\boxed{\dfrac{17}{2}\sqrt{2}}\qquad\text{after rationalizing the denominator}[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

I find it convenient to draw the graph first when looking for relative extrema.

The function can be differentiated to get ...

  f'(x) = -3x^2 +9

This is zero when ...

  -3x^2 +9 = 0

  x^2 = 3

  x = ±√3 . . . . . x-values of relative extrema

Then the extreme values are ...

  f(±√3) = x(9 -x^2) = (±√3)(9 -3) = ±6√3

The lower extreme (minimum) corresponds to the lower value of x (-√3), so the extrema are ...

 (x, y) = (-√3, -6√3) and (√3, 6√3)

__

Since the leading coefficient is negative and the degree is odd, the function is decreasing for values of x below the minimum and above the maximum. It is increasing for values of  x between the minimum and the maximum.

  decreasing: x < -√3, and √3 < x

  increasing: -√3 < x < √3

Answer:

y=x-5/2

Step-by-step explanation:

Swap y and x

x=2y+5

since a function has to be in the form y=mx+c

take 5 to the other side in order to remain with 2y then divide both sides by 2

x-5/2=y

y=x-5/2

Answer:

Duke is a very good team and

Answer:

f(x)= -2[x+1]

this is the answer of the question

Answer:

Following are the solution to the given points:

Step-by-step explanation:

When the two-tailed were testing then:

Null and alternative hypothesis:

[tex]H_0 : p = 0.611\\\\H_a : p \neq 0.611[/tex]

Testing the statistics:

[tex]\to z = 2.08\\\\P-value = 0.0375\\\\\alpha = 0.01\\\\0.0375> 0.01\\\\P-value < \alpha\\\\[/tex]

therefore, it fails to reject the null hypothesis.

Answer:

24 premium tickets were sold.

Step-by-step explanation:

Let :

Deluxe ticket = x

Regular tickets = x + 78

Premium tickets = y

x + (x + 78) + y = 208

4x + 2(x+78) + 10y = 714

2x + y = 208 - 78

4x + 2x + 156 + 10y = 714

2x + y = 130 - - - - - (1)

6x + 10y = 558 - - - - (2)

Now we can solve the simultaneous equation using elimination method :

From (1)

y = 130 - 2x

Put y = 130 - 2x in (2)

6x + 10(130 - 2x) = 558

6x + 1300 - 20x = 558

- 14x = 558 - 1300

-14x = - 742

x = 742 / 14

x = 53

Put x = 53 in y = 130 - 2x

y = 130 - 2(53)

y = 130 - 106

y = 24

Answer:

y = 2

Step-by-step explanation:

y = √2 × √2 = 2

It's a 45-45-90 triangle

Answer:

The quadrilateral is a parallelogram

Step-by-step explanation:

If you plot the points on the graph it resembles the shape of a parallelogram. It prove this you need to check if the lengths are correct. The slope between point A and point B is 1/3 and the slope between point C and point D is also 1.3. The slope between point B and D is 1/2 and the slope between point A and point C is also 1/2

hope this helps

The quadrilateral is a parallelogram from the graph and the coordinates formed are parallel and the opposite sides have equal length.

A parallelogram is a quadrilateral whose opposite sides are parallel and equal in length. The opposite angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.

For the given situation,

The coordinates are A(2, 3) B(-1, 4) C(0, 2) D(-3, 3).

The graph below shows these points on the coordinates and the points ABDC forms the parallelogram.

This can be proved by finding the distance between these points.

The formula of distance between two points is

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

Distance AB is

⇒ [tex]AB=\sqrt{(-1-2)^{2}+ (4-3)^{2}}[/tex]

⇒ [tex]AB=\sqrt{(-3)^{2}+ (1)^{2}}[/tex]

⇒ [tex]AB=\sqrt{9+ 1}[/tex]

⇒ [tex]AB=\sqrt{10}[/tex]

Distance BD is

⇒ [tex]BD=\sqrt{(-3+1)^{2}+ (3-4)^{2}}[/tex]

⇒ [tex]BD=\sqrt{(-2)^{2}+ (-1)^{2}}[/tex]

⇒ [tex]BD=\sqrt{4+ 1}[/tex]

⇒ [tex]BD=\sqrt{5}[/tex]

Distance DC is

⇒ [tex]DC=\sqrt{(0+3)^{2}+ (3-2)^{2}}[/tex]

⇒ [tex]DC=\sqrt{(3)^{2}+ (1)^{2}}[/tex]

⇒ [tex]DC=\sqrt{9+ 1}[/tex]

⇒ [tex]DC=\sqrt{10}[/tex]

Distance CA is

⇒ [tex]CA=\sqrt{(2-0)^{2}+ (3-2)^{2}}[/tex]

⇒ [tex]CA=\sqrt{(2)^{2}+ (1)^{2}}[/tex]

⇒ [tex]CA=\sqrt{4+ 1}[/tex]

⇒ [tex]CA=\sqrt{5}[/tex]

Thus the lengths of the opposite sides are equal, the given points forms the parallelogram.

Hence we can conclude that the quadrilateral is a parallelogram from the graph and the coordinates formed are parallel and the opposite sides have equal length.

Learn more about parallelogram here

https://brainly.com/question/16056863

#SPJ2

Answer:

supplementary angle is whose is mesure is 180

9514 1404 393

Answer:

Step-by-step explanation:

There are 20 rectangles, so 35% of them is ...

  0.35 × 20 = 7 . . . . will be marked with X

25% of them is ...

  0.25 × 20 = 5 . . . . will be marked with Y

15% of them is ...

  0.15 × 20 = 3 . . . . will be marked with Z

_____

Additional comment

The total number of markings is 7+5+3 = 15, which is fewer than the number of rectangles. Consequently, it is not necessary to put more than one mark in any given rectangle, unless you just want to .

Step-by-step explanation:

=10% of $180000

= 10*$180000/100

=$180

Answer: The answer is C the one you chose

Answer:

A visit must be of at least 42.39 minutes to put a shopper in the longest 10 percent.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 27.8 minutes and a standard deviation of 11.4 minutes.

This means that [tex]\mu = 27.8, \sigma = 11.4[/tex]

How long must a visit be to put a shopper in the longest 10 percent?

The 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 27.8}{11.4}[/tex]

[tex]X - 27.8 = 1.28*11.4[/tex]

[tex]X = 42.39[/tex]

A visit must be of at least 42.39 minutes to put a shopper in the longest 10 percent.

Answer:

Ivy is 15 years old and Audrey is 12 years old.

Step-by-step explanation:

Let Ivy's age be [tex]i[/tex] and Audrey's age be [tex]a[/tex].

Since the sum of their ages is 27, we can write the equation [tex]i+a=27[/tex].

Next, we'll write a second equation from the fact that 9 years ago Ivy was twice as old as Audrey. Nine years ago, Ivy and Audrey's ages were [tex]i-9[/tex] and [tex]a-9[/tex], respectively. Therefore, we have [tex]i-9=2(a-9)[/tex]

Let's isolate [tex]i[/tex] by adding 9 to both sides:

[tex]i=2(a-9)+9[/tex]

Distribute:

[tex]i=2a-18+9,\\i=2a-9[/tex]

Now substitute [tex]i=2a-9[/tex] into our first equation:

[tex]2a-9+a=27,\\3a-9=27, \\3a=36, \\a=\boxed{12}[/tex]

Therefore, Ivy's age must be:

[tex]i+12=27,\\i=27-12=\boxed{15}[/tex]

Thus, Ivy must be 15 years old and Audrey must be 12 years old.

Answer:

3.14

Step-by-step explanation:

First find the circumference of the circle:

[tex]2\pi r[/tex] = Circumference.

[tex]2 * \pi * 6[/tex] = [tex]12\pi[/tex]

Find the ratio of the angle in relation to the entire circle:

[tex]30^o[/tex] is what we have. So:

[tex]\frac{30^o}{360^o} = \frac{1}{12}[/tex]

Use the ratio and multiply the circumference to find the length:

[tex]12\pi * \frac{1}{12}[/tex] = [tex]\pi[/tex]

Round answer to the hundredth:

[tex]\pi = 3.14[/tex]

Answer:

4

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 9 - -7)/( 3 - -1)

   = (9+7)/(3+1)

   =16/4

   = 4

Answer:

-6

Step-by-step explanation:

Parallel lines have the same slope

If a line has a slope of -6, all lines parallel to this will have a slope of -6

Answer:

[tex]\int _{\left(-1\right)}^1\frac{x^3+1}{2}dx[/tex]

[tex]=\frac{1}{2}\cdot \int _{\left(-1\right)}^1x^3+1dx \Leftarrow(take \: constant\: out)[/tex]

[tex]=\frac{1}{2}\left(\int _{\left(-1\right)}^1x^3dx+\int _{\left(-1\right)}^11dx\right) \Longleftarrow (Sum\:Rule)[/tex]

[tex]\int _{\left(-1\right)}^1x^3dx=0[/tex]

[tex]\int _{\left(-1\right)}^11dx=2[/tex]

[tex]=\frac{1}{2}\left(0+2\right)[/tex]

[tex]=1[/tex]

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