write the complex number 3+√-9 in standard form​

100

Step-by-step explanation:

So, you are essentailly finding the mean (the average of a set of numbers).

1. Add up all the numbers (should get 400)

2. Divide by the amount of numbers presented in the set. (Here there are 4)

3. Solve :  400/4 = 100

Hope it helps.

Do comment if you have any query.

Step-by-step explanation:

10y - 3(y + 2) > 2y + 4

10y - 3y - 6 > 2y + 4

(10 - 3 - 2)y > 4 + 6

5y > 10

y > 10/5

y > 2

[tex] \: [/tex]

Solution → y > 2

Interval Notation → [tex] \lang 2 , \infty\rang[/tex]

The solution in interval notation is: (2, ∞)

To solve the inequality 10y - 3(y + 2) > 2y + 4, follow these steps:

Step 1: Distribute the -3 on the left side of the inequality:

10y - 3y - 6 > 2y + 4

Step 2: Combine like terms:

(10y - 3y) - 6 > 2y + 4

7y - 6 > 2y + 4

Step 3: Get all the y terms on one side by subtracting 2y from both sides of the inequality:

7y - 2y - 6 > 2y - 2y + 4

5y - 6 > 4

Step 4: Get the constant term on the other side by adding 6 to both sides of the inequality:

5y - 6 + 6 > 4 + 6

5y > 10

Step 5: Finally, solve for y by dividing both sides by 5:

y > 10/5

y > 2

The solution to the inequality is y > 2. Now, let's write it in interval notation.

To know more about interval:

https://brainly.com/question/29126055

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Answer:

A. 122

Step-by-step explanation:

in right-angle triangle,

AB² + AC² = BC²

22²+120² = BC²

2²×11² + 2⁶×5²×3²= 2²(121+16×25×9)

4(121+3600) = 14884

BC=√14884 = 122

Answer:

[tex]f(-9)=\frac{131}{2}[/tex]

Step-by-step explanation:

In order to evaluate a function at a given x-value, plug in that value into the actual function

[tex]f(x)=-\frac{x}{2} -7x-2\\\\f(-9)=-\frac{9}{2} -7(-9)-2\\\\f(-9) = \frac{131}{2}[/tex]

Answer:

35%

Step-by-step explanation:

100% - 65% = 35%

Hope this helps!

Answer:

35%

Step-by-step explanation:

65% of 40 is 29.25

40-29.25=15.75

15.75 over 45 × 100 = 0.35

0.35 is also written as 35%

This is just a longer method if it requires more steps:)

Answer:

x>2

Step-by-step explanation:

1) 6x+3 > 15

2) 6x > 15-3

3) 6x > 12

4) x > 12÷6

5) x > 2

Answer:

1.5 songs/minutes

Step-by-step explanation:

30÷20 = 1.5

The answer is 3/22

Hope this help~

Answer:

$180

Step-by-step explanation:

y = 30x +150

30(1) + 150

= 180

Answer:

B) 5,900 pounds

Step-by-step explanation:

1,900 pounds + 2 tons = 5,900

Answer:

Salami: $3.00

Ham: $ 8.00

Step-by-step explanation:

12 * 1/4 = 12/4 = $3.00

12 * 2/3 = 24/3 = $8.00

Step-by-step explanation:

100% = 730

1% = 100%/100 = 730/100 = 7.3

30% = 1% × 30 = 7.3 × 30 = 219

so, they finished 219 of their 730 orders.

that leaves 730 - 219 = 511 orders still to be finished.

Answer:

3,168 cal= 2lbs of Ice Cream

Step-by-step explanation:

I need to fin how many calories are in two pounds of that ceratin ice cream.

594cal/6=99cal

99cal=1 oz

16oz x 2 = 32oz

99 x 32 = 3,168 cal

There is 3,168 cal in two pounds of ceratin ice cream.

Answer:

independent variable/ variables

Step-by-step explanation:

9514 1404 393

Answer:

  $1.50 per pint

Step-by-step explanation:

1 pint = 2 cups, so the cost of it is ...

  x/(2 cups) = $12/(16 cups)

  x = (2)($12/16) = $1.50 . . . . . . multiply by 2 cups

The price per pint is $1.50.

Answer:

add 6 time 8 and get the answer like that.

Step-by-step explanation:

just keep adding that what you need to do ok.

Answer:

5³

Step-by-step explanation:

5³ is the answer since it's the greater between the two numbers

Answer:

125

Step-by-step explanation:

This is because 5^2 *5 is 125 and 5^3 * 1 = 125   and the findings are both numbers have to be multiplied by a whole number to quantify a same identical multiple total number - we can check this by dividing by the smallest 125/5^2  = 5  and then the largest is 125/5^3 = 1 and we know there could not be a smaller whole number  - The other workings would be to do a prim e factor tree   of 125  =  5  25  5 and 5 =  5^3 and here we are told 5^3 is a multiple of 125 and 5^2 is also a multiple of 5^3 as it square fits 5 times into 125 as 5*25 is 125  

Answer: The amount budgeted for Auto Expenses is $18,200

Step-by-step explanation:

13 Percent of $140,000 is $18,200

0.13 times 140,000 :-)

Answer:

I would assume it is c. 1, because of rounding, but I'm only 70% sure.

Answer:

She thought the multiplication symbol was the addition symbol

actual answer: 1.39 x 10^12

Step-by-step explanation:

If it was addition, then she’d be correct;

6.75x10^6 + 0.2x10^6

= (6.75 + 0.2)x10^6

= 6.95x10^6

But really, it was a multiplication, meaning the answer really is;

(6.95x10^6)x(0.2x10^6)

= 1.39 x 10^12

_________

[tex] \: [/tex]

Soo

h(x) = f(x) + g(x)

h(x) = 980 + 350

h(x) = 1.330

Answer:

3.525 gal/person

Step-by-step explanation:

My class would consume 52.875 gallons

Answer:

-0.6

Step-by-step explanation:

If i got the points correct, (0,3) and (5,0) i couldnt tell what the other point is so i assumed it was 5.

Equation of the line: (if needed)

y = -0.6x + 3

or

y =  

- 3 x

5

 + 3

When x=0, y = 3

When y=0, x = 5

The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].

Based on the statement we construct the geometric diagram, by definition of tangent we have expressions for the initial and final angles ([tex]\theta_{1}[/tex], [tex]\theta_{2}[/tex]), in radians, of the figure:

Initial triangle

[tex]\tan \theta_{1} = \frac{y_{1}}{x_{1}}[/tex] (1)

Final triangle

[tex]\tan \theta_{2} = \frac{y_{2}}{x_{2}}[/tex] (2)

By using (2), the equivalence [tex]\theta_{2} = \theta_{1}+\Delta \theta[/tex] and trigonometric identities we have the following expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\tan \theta_{1}+\tan \theta_{2}}{1-\tan \theta_{1}\cdot \tan \theta_{2}}[/tex] (3)

By (1), we simplify the expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}} + \tan \Delta \theta}{1-\frac{y_{1}}{x_{1}}\cdot \tan \Delta \theta}[/tex] (3b)

If [tex]0 \le \Delta \theta \le \frac{\pi}{6}[/tex], then we can use the following approximation:

[tex]\tan \Delta\theta \approx \Delta \theta[/tex] (4)

Then, we reduce (3b) into an entirely algebraic expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}}+\Delta \theta }{1-\frac{y_{1}}{x_{1}}\cdot \Delta \theta }[/tex] (3c)

Where [tex]y_{2} = \sqrt{r^{2}-x_{2}^{2}}[/tex].

Now we clear [tex]\Delta \theta[/tex] within the formula:

[tex]\Delta \theta = \frac{\frac{y_{2}}{x_{2}}-\frac{y_{1}}{x_{1}}}{\frac{y_{1}}{x_{1}}\cdot \left(1+\frac{y_{2}}{x_{2}} \right) }[/tex]  (5)

If we know that [tex]x_{1} = y_{1} = 0.5[/tex], [tex]r = 0.707[/tex] and [tex]x_{2} = 0.45[/tex], then we estimate the angle change:

[tex]y_{2} = \sqrt{0.707^{2}-0.45^{2}}[/tex]

[tex]y_{2} \approx 0.545[/tex]

[tex]\Delta \theta = \frac{\frac{0.545}{0.45}-1 }{1\cdot \left(1+\frac{0.545}{0.45} \right)}[/tex]

[tex]\Delta \theta = 0.095[/tex]

As [tex]\Delta \theta < \frac{\pi}{6}[/tex], then the result seems to be reasonable. The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].

We kindly invite to check this question on trigonometric identities: https://brainly.com/question/24836845