Select the correct answer.
What is the standard form of this complex number?
3i + ( + 2i ) – (3 + 3i)

9514 1404 393

Answer:

  (a)  1, 2

  (b)  4

Step-by-step explanation:

(a)  9x +81 = 9·x +9·9 = 9(x +9) . . . . . . matches first and second choices

__

(b)  10 +14y -5 -y = (14y -y) +(10 -5) = 13y +5 . . . . . . matches fourth choice only

Answer:

$16.62 each

Step-by-step explanation:

First, find 20% of the bill to figure out how much the tip is worth:

20% over 100% = $x over $55.40 ---> 20 * 55.4 / 100 = 11.08

Now that we know the tip is $11.08, next add it on to the bill:

$11.08 + $55.40 = $66.48

Now divide this by 4 to split the bill evenly between the 4 friends:

$66.48 / 4 = $16.62

Answer:b

Step-by-step explanation:

Plato

Answer:

Lo: - 94o F

Step-by-step explanation:

Hi: 98oF

Difference: 192 degrees lower

Low: ?

Formula

98 - 192 = -94

That seems incredibly cold. I've lived through a day that was - 60oF and that was enough. (about - 51o C)

If you think in Celcius

The formula is

C =   5/9(F - 32)

C =  5/9 (-94 - 32)

C = 5/9 (-126)

C = -60

I think Siberia must be much colder than -60.

Answer:

Kerri's speed = 50 mile per hour. Therefore option (D) is true.

Step-by-step explanation:

Given the distance-time graph

It is clear from the distance-time graph that:

so the two points on the distance-time graph is:

Finding the slope between the points to determine the speed.

Please note that the slope between the points represents the speed or rate of change.

Speed = Rate of change = y₂-y₁ / x₂-x₁

                                         = 100 - 50 / 2-1

                                          = 50 / 1

                                           = 50 miles per hour

Thus, Kerri's speed = 50 mile per hour. Therefore option (D) is true.

Step-by-step explanation:

(4-7i)-(-3+6i)

4-7i+3-6i

7-13i(simplified)

Answer:

7-13i

Step-by-step explanation:

(4-7i) - (-3+6i)

4-(-3)+(-7-6)i

7-13i

Answer:

Zeneca did not follow the directions. In order to follow Caleb's directions, Zelda would need to bring in 6 hives for every 2 acres of peaches.

If there are 30 acres, this means he would 15 groups of 6 hives (90 hives). He only brought 10.

Step-by-step explanation:

This question is incomplete

Complete Question:

The trail around Mirror Lake in Yosemite National Park is 5 miles long.

The tables below show the fraction of miles each hiked:

Hiker Fraction of miles hiked

Andrea 2/5

Jon 1/2

Callie 4/5

9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?

10. What fraction describes how much more of the trail Callie hiked than Jon hiked?

Answer:

9. 1/10

10. 3/10

Step-by-step explanation:

9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?

This is calculated as the number of miles Jon hiked - The number of miles Andrea hiked

1/2 - 2/5

= The Lowest Common Denominator is 10

= [(5 × 1) - (2 × 2)] /10

= [5 - 4] /10

= 1/10

The fraction that describes how much more of the trail Jon hiked than Andrea hiked is 1/10

10. What fraction describes how much more of the trail Callie hiked than Jon hiked?

This is calculated as the number of miles Callie hiked - The number of miles Jon hiked

4/5 - 1/2

= The Lowest Common Denominator is 10

= [(4 × 2) - (1 × 5)] /10

= [8 - 5] /10

= 3/10

The fraction describes how much more of the trail Callie hiked than Jon hiked is 3/10

Answer:

x is greater than or equal to 8.75 or 8 3/4

Step-by-step explanation:

So we first write the inequality 3 + 1.2c "is greater than or equal to sign" 13.5. Then we subtract 3, then divide both sides by 1.2 to isolate c. We get x "is greater than or equal to" 8.75.

Answer:

2 1/3 meters

Step-by-step explanation:

You would simply divide 14 by 6 which gives you 2.3 repeating and 0.3 repeating is the fraction 1/3.

Step-by-step explanation:

Using FOIL:

(x + 3)(x + 9)

= (x)(x) + (x)(9) + (3)(x) + (3)(9)

= x² + 9x + 3x + 27

= x² + 12x + 27.

Answer:

$207.20

I hope this can help in any way!

Answer:

Samuel's function will have the greatest rate of change.

Step-by-step explanation:

Samuel's rate of change is -15 as shown by the graph. Isaac's is -10, Samuel's has the greatest value because it will change more dramaticly.

Answer:

Fabian got $7.

Step-by-step explanation:

Isaiah gave $18 to his friends--Ricardo got $4, Jeremiah got $7, and Fabian got the rest. This needs a math equation!

4 + 7 + f = 18

where f is the amount of money Fabian got.

4 + 7 + f = 18

(subtract 4 from both sides)

7 + f = 14

(subtract 7 from both sides)

f = 7

It looks like Fabian got $7! Let's check just to make sure.

4 + 7 + f = 18

4 + 7 + (7) = 18

18 = 18

It checks out!

Answer:

I would need to see the signs to show each discount to figure this one out.  Can you add it?

Step-by-step explanation:

Answer:

The correct answers should be b and c

Step-by-step explanation:

|•-•|

Answer:

23

Step-by-step explanation:

Suppose,

the first number = x

the second number = x+1

the third number = x+1+1 = x+2

Question wise,

x+x+1+x+2 = 72

3x+3 = 72

3x = 72-3 = 69

x = 69/3 = 23

so the numbers are,

23,(23+1)=24 and (23+2)=25

Answer:

3

Step-by-step explanation:

5 is greater than 2 and two is negative so the answer is positive

=======================================================

Explanation:

Think of x as a placeholder for a number. For me, I tend to think of it as a box. It's handy that the letter x is part of box, to help make that connection better. We have some box and inside the box goes a number.

If we multiply 5 by whatever is in the box, we can write it like [tex]5*\square[/tex]

Then let's say we fill that box with the value 7. We would then have [tex]5*\boxed{7}[/tex]

If we put 3 in the box instead we'll have [tex]5*\boxed{3}[/tex] and so on

Unfortunately the box symbol isn't something we could easily write on a keyboard, so we go with x instead to make life simpler.

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

So far we've shown that "5 times a number" turns into 5*x or just 5x.

From here we subtract off 3 to get 5x-3 as the final answer. Whatever the result of 5x is, we subtract off 3.

The answer would not be 3-5x since this means "subtract 5x from 3". The order of subtraction matters. In general, A-B is not the same as B-A.

Use the formula,

I = Prt

P = Principal amount = 400

I  = interest = 18

r = annual rate

t = time in years = 9/12 = 3/4

so,

18 = 400*r*3/4

r =  0.06

so the annual interest rate is 0.06 or 6%.

Answer:

Step-by-step explanation:

Wheelbarrows  is 30/3 = 10

Pair of shoes is (18 - 10) /2 = 4 so one shoe is 2

2 Seed bags is 4 - 2 = 2 so one bag is 1

Answer is 1(seed baf) + 10(wheelbarrows X 2(shoe) = 21

Answer:

y = 5.064 - 0.010x

Here, in this question x = 33

y = 4.734 million views

In this question data is missing and I filled it out and calculated the questions accordingly. Please refer to the attachment for the data calculated.

Step-by-step explanation:

First of all, this question is incomplete. It lacks the data needed to calculate the required things.

So, I  figured out the question and I will try my best to solve the question at hand.

I have calculated the some data sheet in excel. Please refer to the attachment for that data.

let a be the salaries

b be the viewers

[tex]S_{aa}[/tex] = ∑[tex]a^{2}[/tex]  - [tex]\frac{ Summtion a^{2} }{n}[/tex]

[tex]S_{aa}[/tex] = 7522.8571

[tex]S_{bb}[/tex] = ∑[tex]b^{2}[/tex]  - [tex]\frac{ Summtion b^{2} }{n}[/tex]

[tex]S_{bb}[/tex] = 47.1943

[tex]S_{ab}[/tex] = ∑[tex]ab^{}[/tex]  - [tex]\frac{ Summtion a x Summation b^{} }{n}[/tex]

[tex]S_{ab}[/tex] = -76.8286

Now the slope of the required regression equation is:

Slope =  [tex]S_{ab}[/tex]/[tex]S_{aa}[/tex] = -76.8286/7522.8571 = -0.010

And the intercept of the required regression equation:

intercept = [tex]\frac{1}{n}[/tex] x (∑b - slope x ∑a) = 5.064

So, the regression equation will be:

y = intercept + slope x

y = 5.064 - 0.010x

Here, in this question x = 33

y = 5.064 - 0.010 (33)

y = 4.734 million views

Step-by-step explanation:

x/(x + 2) + 1/x = 1

x² + (x + 2) = x(x + 2)

x² + x + 2 = x² + 2x

x = 2.

Since x = 2 neither makes (x + 2) or x become 0, there are no extraneous solutions.

The answer is "The equation has 1 valid solution and no extraneous solutions." (C)

The true statement is (c) the equation has one valid solution and no extraneous solutions

The equation is given as:

[tex]\frac{x}{x + 2} + \frac 1x = 1[/tex]

Take LCM

[tex]\frac{x^2 + x + 2}{x(x + 2)} = 1[/tex]

Expand the numerator

[tex]\frac{x^2 + x + 2}{x^2 + 2x} = 1[/tex]

Cross multiply

[tex]x^2 + x + 2 = x^2 + 2x[/tex]

Subtract x^2 from both sides

[tex]x + 2 = 2x[/tex]

Collect like terms

[tex]2x -x = 2[/tex]

[tex]x = 2[/tex]

Hence, the equation has one valid solution and no extraneous solutions

Read more about solutions of equations at:

https://brainly.com/question/1397278

Answer:

See below

Step-by-step explanation:

a). 3y-6x=48

soln

or, 3xy=48

or, xy=48÷3

or, xy=32,,

b). y=3x+11

soln

or, y=13x

or, xy=13,,

Answer:

-6+12y-7

Step-by-step explanation:

Who doesn't like short answers, instead of writing a hole paragraph.

Answer:

[tex]-6x + 12y - 7[/tex]

Step-by-step explanation:

[tex](5x + 9y) - (11x - 3y + 7)[/tex]

Lets open the brackets.

[tex]=> 5x + 9y - 11x + 3y - 7[/tex]

Now lets add/substract the like terms only.

[tex]=> 5x - 11x + 9y + 3y - 7[/tex]

[tex]=> -6x + 12y - 7[/tex]