2014, a toy store sold 12,824 stuffed animals. In 2015, the toy store sold 24,490 more stuffed animals than it did in 2014. The toy store sold the same number of stuffed animals in 2016 as it did in 2015. How many stuffed animals did the toy store sell in 2014, 2015, and 2016 combined?

Answer:

For complex numbers,

a + bi and a - bi

they have the interesting property that if you add them you get the real number 2a

and if you multiply them , because of the difference of square pattern, you get a^2 - b^2 i^2

But since i^2 = -1, we end up with a real number as a product.

e.g. 6 - 5i and 6 + 5i are conjugates of each other

sum = 6-5i + 6+5i = 12

product = 36 - 25i^2

= 36 -(-25) = 61

Your question is even easier, since the denominator is a monomial instead of a binomial, so we just have to multiply by i/i

Also I believe, according to the answer, that you have a typo, and you meant

(-5+i)/(2i)

= (-5+i)/(2i) *i/i

= (-5i + i^2)/2i^2)

= (-5i +i^2)/-2

= (-5i - 1)/-2

= (1 + 5i)/2 or they way they have it: 1/2 + 5i/2

Answer:

30 Percent  

Step-by-step explanation:

Answer:

The Answer will be 25%.

Answer:

i) 4

ii) -216

please give brainliest

Answer:

a. write a linear function for the number of gallons of gas in the tank in terms of the number of miles driven.

Answer: 89y

89y

Step-by-step explanation: 89y

89y

9514 1404 393

Answer:

  3. yes: a[1] = -8, a[n] = a[n-1] +7; an = -8 +7(n -1)

  4. no (no common difference)

Step-by-step explanation:

An arithmetic sequence is one in which each term has the same difference from the term before it.

__

3. -1 -(-8) = 7; 6 -(-1) = 7; 13 -6 - 7. The differences are all 7, so the terms have a common difference. This sequence is arithmetic.

The general form of the recursive rule for an arithmetic sequence with first term a1 and common difference d is ...

  a[1] = a1; a[n] = a[n-1] +d . . . . . recursive rule

  a[1] = -8; a[n] = a[n-1] +7

The general form of the explicit rule for an arithmetic sequence is ...

  an = a1 +d(n -1)

  an = -8 +7(n -1)

__

4. The differences are ...

  8 -1 = 7; 27 -8 = 19; 81 -27 = 54 . . . the differences are not common

This sequences is not arithmetic.

Answer:

a) a +b= 13, ab= 40

b) length= 8m, width= 5m

Step-by-step explanation:

Perimeter of rectangle= 2(length +width)

Area of rectangle= length ×width

a) Perimeter= 26m

2(a +b)= 26

Divide both sides by 2:

a +b= 26 ÷2

a +b= 13 ----- (1)

Area= 40m²

ab= 40 ----- (2)

b) From (1): a= 13 -b ----- (3)

Substitute (3) into (2):

(13 -b)(b)= 40

Expand:

13b -b²= 40

b² -13b +40= 0

Factorise:

(b -5)(b -8)= 0

b -5= 0 or b -8= 0

b= 5 or b= 8

Substitute into (3):

a= 13 -5 or a= 13 -8

a= 8 or a= 5

Since the length is usually the longer side of the rectangle, the length and the width of the rectangular garden is 8m and 5m respectively.

Answer:

Step-by-step explanation:

Perimeter = 2length + 2 width

   2a + 2b = 26 m

Divide the equation by 2

[tex]\dfrac{2a}{2}+\dfrac{2b}{2}=\dfrac{26}{2}\\\\[/tex]

a + b  = 13         --------------(I)

a = 13 -b

Area = length *width

a*b = 40 sq.m

ab = 40   ----------------(II)

Plugin a = 13 -b in the equation (II)

(13 - b)*b = 40

13*b - b*b = 40

13b - b² = 40

0 = 40 + b² - 13b

b² - 13b + 40 = 0

Sum = - 13

Product  = 40

Factors = (-8) , (-5)      {-8 + (-5) = -13 & (-5)*(-8) = 40}

b² - 8b - 5b + (-8)*(-5) = 40

b(b - 8) - 5(b - 8)= 0

( b - 8) (b - 5) = 0

b - 8 =0     ; b -5 =0

b= 8   ; b = 5

Length = 8 cm

Width = 5cm

Looks like the equation is

[tex]g(x) + x \cos(g(x)) = x^3[/tex]

Differentiate both sides with respect to x, using the chain rule on the left side:

[tex]g'(x) + \cos(g(x)) - x \sin(g(x)) g'(x) = 3x^2[/tex]

Solve for g'(x) :

[tex]g'(x) (1 - x \sin(g(x))) = 3x^2 - \cos(g(x)) \\\\ g'(x) = \dfrac{3x^2 - \cos(g(x))}{1 - x \sin(g(x))}[/tex]

When x = 0, we have

[tex]g'(0) = \dfrac{0-\cos(g(0))}{1-0\sin(g(0))} = \boxed{-\cos(g(0))}[/tex]

(This is all you can say without providing the value of g (0).)

vertex: (-2,-4)

axis of symmetry: x = -2

hope this helps :)

Answer:

1128

Step-by-step explanation:

Math

Answer:

A

Step-by-step explanation:

vertex is (-3,-4)

so inside the absolute value bars need to be postive 3 and the four has to be -4.

Si hacen un reparto directamente proporcional a los capitales aportados, a María le corresponden $4444,44, a Pepe $5555,55, a Ana $6666,66 y a Miguel $13333,33.

Dado que María, Pepe, Ana y Miguel crean una empresa en sociedad aportando un capital inicial de 4.000, 5.000, 6.000 y 12.000 dólares, respectivamente, y las utilidades netas en el primer año fueron de 30.000 dólares, para determinar qué cantidad corresponde a cada uno si hacen un reparto directamente proporcional a los capitales aportados se debe realizar el siguiente cálculo:

Por lo tanto, si hacen un reparto directamente proporcional a los capitales aportados, a María le corresponden $4444,44, a Pepe $5555,55, a Ana $6666,66 y a Miguel $13333,33.

Aprende más en https://brainly.com/question/21892145

Answer:

45

Step-by-step explanation:

first you divide bring don and subtract

Answer:

I'm pretty sure it is B

Step-by-step explanation:

22

Step-by-step explanation:

fx is the addition of all the digits which are present in the column of the table called fx

Answer: [tex]f= \frac{ C -4h -5p }{7}[/tex]

Isolate f

Subtract 5p from both sides

Subtract 4h from both sides

Divide both sides by 7

ANSWER:

     43

Explanation:

A : B : C

     4 : 3  

          5 : 2

A × B → 4 × 5 = 20

B × B → 3 × 5 = 15

B × C → 3 × 2 = 6

  A : B : C

 20 : 15 : 6

B = 15 = 30

what of teams A and C together?

 If 15 = 30games, what about 26games?

Cross multiply.

   15 × 26          =13

      30

So, games won by Team B + games won by Teams A and C

        30games + 13games

               =43games.

Answer:

82

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

The two angles are congruent so they have the same value

3x-5 = x+55

Subtract x from each side

3x-5 -x = x+55-x

2x-5 = 55

Add 5 to each side

2x-5+5 = 55+5

2x= 60

Divide each side by 2

2x/2 = 60/2

x = 30

You would get

x=40

Your answer

Answer:

completa la oracion!!!

etaStep-by-step explanation:

Answer:

96

Step-by-step explanation:

120/1.25=96

25 and 26

25*26=650

Consecutive numbers are numbers that are right next to each other.

Examples:

1 and 2

345 and 346

1000 and 1001

All the best

hope this helps

[tex]GraceRosalia\\******************************************************************************\\BRAINLIEST?[/tex]

Answer:

put them in desmos and graph them

Step-by-step explanation:

option A has the same value to that equation.

hope this helps you.

Answer:

a)-10-3

Step-by-step explanation:

-10+(-3)

=-13

-10-3

=-13

Answer:

simply 8c = 128

Answer:

a

Step-by-step explanation:

Answer:

(4 – 5) – (13 – 18 + 2)

= -1-(13+2-18)

= -1-(15-18)

= -1-(-3)

= -1+3

Answer:

(4-5)-(13-18+2)

(-1)-(-3)

-1+3

2

hope this helps u

Answer:

100

Step-by-step explanation:

16x + 19x + 5 = 180   {co-interior angles are supplementary}

Combine like terms;

35x + 5 = 180

Subtract 5 from both sides

35x = 180 - 5

35x = 175

Divide both sides by 35

x = 175/35

x = 5

19x + 5 = 19*5 + 5

           = 95 + 5

           = 100

Answer:

100⁰

Step-by-step explanation:

co interior angles add up to 180⁰

so l9x+5+16x=180⁰

35x+5⁰=180⁰

35x=180⁰-5⁰

35x=175⁰

Divide both side by the co-efficient of x which is 35

35x/35=175⁰/35⁰

x=5

Now to find the value of 19x+5,we have to substitute any x in it by 5

so 19x+5

19(5)+5

95+5

100⁰

Thanks. I hope it will be helpful to you