The difference is 6?

Answer:

[tex]x=1\pm i[/tex]

Step-by-step explanation:

The given equation is :

[tex]x^2-2x=-2\\\\x^2-2x+2=0[/tex]

The above equation is a quadratic equation whose solution can be given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here,

a = 1, b = -2 and c = 2

So,

 [tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)} }{2(1)}[/tex]

So,

[tex]x=1+i,1-i\\\\x=1\pm i[/tex]

So, the solution of the equation is [tex]1\pm i[/tex].

Answer:

The 80% confidence interval for the proportion of all college students who drove a car the day before the survey was conducted is (0.479, 0.621).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A random sample of 80 college students showed that 44 had driven a car during the day before the survey was conducted.

This means that [tex]n = 80, \pi = \frac{44}{80} = 0.55[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 - 1.28\sqrt{\frac{0.55*0.45}{80}} = 0.479[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 + 1.28\sqrt{\frac{0.55*0.45}{80}} = 0.621[/tex]

The 80% confidence interval for the proportion of all college students who drove a car the day before the survey was conducted is (0.479, 0.621).

Answer:

x = 8

Step-by-step explanation:

These angles provided are alternate interior angles. That means they are congruent (equal). All you need to do now is answer the equation "8x-4 = 60".

From that you can see that x is 8.

Answer:

the angles are alternate interior angle pair, they are equal

Answer:

JKM is 123 degrees and the measure of arc KL is 56

Answer256pi

Step-by-step explanation:

Area=pi*r^2

=pi*16^2

256pi

Answer:

the square root of 23 is 4.8 or if you need the longer one it's 4.79583152331

Answer:

z=529

Step-by-step explanation:

Let's solve your equation step-by-step.

√z=23

Solve Square Root.

√z=23

z=232(Square both sides)

z=529

Check answers. (Plug them in to make sure they work.)

z=529(Works in original equation)

Answer:

Your answer will be D. 15,840:) you're welcome, have a great day:)!

Answer:

The unit rate would be 38 miles per hour

Step-by-step explanation:

If you divide 228 by 6 you would get 38 and to further prove this do 38 x 6 and your answer would be 228

Answer:

3/4

Step-by-step explanation:

Divide 3 3/4 by 5. 3 3/4 as an improper fraction is 15/4. 15/4 * 1/5 (divided by 5) is 3/4. :D dont report me

Answer:

67

Step-by-step explanation:

complementary mean it equals 90 degrees

90-23 = 67

m<2=67

Answer:

B is your answer

Step-by-step explanation:

there is none but GOOD LUCK

Answer:

b.5²+12²=13² is your answer

Answer:

length of each side should be multiplied by 2

Answer:

A standard deck of cards consists of 52 cards. The colors are usually black for the spades and clubs and red for the hearts and diamonds.

Step-by-step explanation:

Answer:

There are 52 cards which are either red or black

Step-by-step explanation:

9514 1404 393

Answer:

  b. iii, v, and vi

Step-by-step explanation:

We assume your equations are intended to be P=(something) where the something has a final factor of ( )^t.

The final factor is called the "growth factor". Subtracting 1 from it gives the "growth rate". When that value is negative, the population is declining.

Equations (iii), (v), and (vi) have growth rates that are negative, so those represent towns decreasing in size.

Answer: 120 minutes.

not sure if im right lol brainliest or a thank u please :)) <3

Answer:

(no simplification) = 55 + (25[tex]\pi[/tex]/2) in^2

(with simplification) = (110 + 25[tex]\pi[/tex])/2 in^2

(with pi rounded to 3.14) = 94.25 in^2

Step-by-step explanation:

Let's start with the easier shape, the triangle. The formula for area of a triangle is 1/2(base)(height). Since at the far right we have 10 in, we can apply that to the triangle to get the base = 10 inches. The height is given as 11 inches so we can then calculate the area which is 55 in^2.

Then, the circle. We know that area of a whole circle = [tex]\pi r^{2}[/tex]. Since we know that a semicircle is 1/2 of a full circle, we can find the area of the entire circle then divide it by 2.

It gives the diameter as 10, divide that by 2 to get the radius. r=5. Plug 5 into the equation of [tex]\pi r^{2}[/tex] and you get 25[tex]\pi[/tex]. Divide that by 2 to get 25[tex]\pi[/tex]/2.

Add the triangle and the semicircle areas.

(no simplification) = 55 + (25[tex]\pi[/tex]/2) in^2

(with simplification) = (110 + 25[tex]\pi[/tex])/2 in^2

(with pi rounded to 3.14) = 94.25 in^2

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

Answer:

6+4=10

7-6=1

6*6=36

1/3*6=2

Step-by-step explanation:

Plug in 6 for x and solve it.

Its not yet known. We need other numbers and letters!

Answer:

1. 64

2. 36

3. 32

4. 20

5. 33

6. 30

Step-by-step explanation:

Sorry I can't see the symbols on questions 7-9

Answer:

The limit does not exist

Step-by-step explanation:

The first step would be to try to evaluate the functions at x = 0

5x - 9 => 5(0) - 9 = -9

| 2 - x | => | 2 - 0 | = 2

So they can be evaluated at x = 0, and it gives two different answers so the limit does not exist

Answer:

The limit does not exist

Step-by-step explanation:

By evaluating both functions we see that we get -9 and 2, because they are not equal to each other the limit does not exist.

Answer:  

70 + 2 + 0.3 + (-30) + (-9) + (-0.1) = 70 + (-30) + 2 + (-9) + 0.3 + (-0.1)  

Step-by-step explanation:  

i dont have an explanation but that is the answer i can confirm because i did it and got it wrong but then it showed the right answer hope it helps you

Answer:

w=-[tex]\frac{3u}{2}[/tex]+2

Step-by-step explanation:

Answer:

w = -1.5u + 2

or

w = -3/2u + 2

Step-by-step explanation:

Your goal is to isolate w

-12u + 13 = 8w - 3

      +3             +3

-12u + 16 = 8w

 /8      /8    /8

-1.5u + 2 = w

w = -1.5u + 2

or

w = -3/2u + 2

Answer:

F. g(x)=f(x)-5

Step-by-step explanation:

Answer:

exponent

Step-by-step explanation:

To get log2(4)=2

so 2 to the power of 2 is 4

4 is the number between brackets in log

another example

log2(8)=3

2 to the power of 3 is 8

Answer:

23,29,31,37

Step-by-step explanation: