(3 + 4i) - (8 -5i) Write answer in standard form a +bi Group of answer choices
A:-5+9i
B:-5 + 9i

Answer:

21

Step-by-step explanation:

The bus fare in a city is $1.50. People who use the bus have the option of purchasing a monthly coupon book for $21.00. With the coupon book, the fare is reduced to $0.50. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.

Solution

Let

y = number of bus fares.

Cost of bus fares without coupon book = 1.50y

Cost of bus fares with coupon book = .50y + 21

Equate cost of bus fares without coupon book and cost of bus fares with coupon book

1.50y = .50y + 21

Subtract .50y from both sides of the equation

1.50y - .50y = .50y + 21 - .50y

1.00y = 21

Divide both sides by 1.00

y = 21 / 1.00

y = 21 times

Answer:

$1.5

Step-by-step explanation:

[tex]160\:hot\:dogs = \$240\\1 \: hot \:dog = \$x\\\\160x = 240\\\\\frac{160x}{160} = \frac{240}{160} \\\\x = \$1.5[/tex]

Answer:

23

Step-by-step explanation:

3x = 69°

This is because they are vertically opposite angles.

You would have to divide 69 by 3.

69 ÷ 3 = 23

23 · 3 = 69

Answer:

X=4

Step-by-step explanation:

collect like term than move the rate and divide by 12

Which of the following statements correctly describes the expression below based on its degree and number of terms? 3x^4 - 7x^2 + 11. The expression has four terms and a degree of 6. The expression is a trinomial with a degree of 6. The expression is a trinomial with a degree of 4. The expression has four terms and a degree of 4.

hope this helps!

Answer:

$24.50

Step-by-step explanation:

$35 - 30% = $24.50.

Thus, that is the answer.

Hope this helps!

Answer- $24.50

$35 - 30% is $24.50.

Gorgi saved $10.50 as well.

Hope this helps!

Answer:

D. 6 seconds.

Step-by-step explanation:

When the ball hits the ground f(t) = 0 , so:

-1/2t^2 + 2t + 6 = 0

Take out the -1/2:

-1/2(t^2 - 4t - 12) = 0

-1/2(t - 6)(t + 2) = 0

t = -2 , 6.  We ignore the negative zero.

So the answer is 6 seconds.

Answer:

6 seconds is right!

I got it right in class

Answer:

1/2 of 24 = 12

1/6 of 24= 4

1/4 of 24 = 6

Step-by-step explanation:

divide

Answer: 2000m/h

Step-by-step explanation:

speed = distance/time

milas distance was (2/3).(750 m) = 500 m, so her speed was (500 m)/(1/4) = 2000 m/h

Answer:

[tex]\bold{x =cos\theta}\\\bold{y=sin\theta}[/tex]

Step-by-step explanation:

The given system of linear equations is:

[tex](cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0[/tex]

We have to solve the equations for the values of [tex]x, y[/tex].

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by [tex]sin\theta[/tex] and second equation by [tex]cos\theta[/tex]

Now, the equations become:

[tex](cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)[/tex]

Now, let us add (1) and (2):

[tex](sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta[/tex]

Using the equation:

[tex](-sin\theta)x+(cos\theta)y=0[/tex]

Putting value of [tex]y[/tex]:

[tex]\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta[/tex]

So, the answer to the system of linear equations is:

[tex]\bold{x =cos\theta}\\\bold{y=sin\theta}[/tex]

Answer:

B. $8.50 and $8.99

Step-by-step explanation:

Answer:

B. $8.50 and $8.99

Step-by-step explanation:

Step-by-step explanation:

5y - 1 = 4y + 5

5y -4y = 5 + 1

Y (1y) = 6

Answer:

Hey there!

If angle one is congruent to angle two, all of the above is true.

Let me know if this helps :)

Answer:

500,000 + 80,000 + 2,000 + 30

Answer:

tththtfhhtfhtfttfh

Step-by-step explanation:

tfhtfh

Answer:

0

Step-by-step explanation:

The question is asking for any number between -5 and 2, so you can choose -4, -3, -2, -1, 0, or 1

Answer:

15-13=2

13+2=15

x=2

now double check the answer and

2+13=15

x = 2 is your answer

Answer:

B. The variable is qualitative because color describes an attribute or characteristic.

Step-by-step explanation:

Color is a qualitative variable, used to describe an object. Color cannot be measure or counted, but can be used as a descriptive property of an object. Other examples of qualitative variables include beauty, happiness etc

Quantitative variables are those that can be counted or measure. examples of quantitative variables are height. age, weight, loudness, etc

a. The number of chips Data should order to achieve a 95 percent service probability before his trip is 40.

b. The maximum order quantity of chips Data will ever have to order to ensure a 95 percent service probability.

Given:

Lieutenant Commander Data needs a 95 percent service probability for his monthly trip to Gamma Hydra City to pick up iso-linear chips.

The trip takes Data about four days.

Data uses iso-linear chips at an average rate of seven per day (seven days per week).

The standard deviation of demand for iso-linear chips is three per day.

Data currently has 40 chips in inventory.

To find:

a. The number of chips Data should order to achieve a 95 percent service probability before his trip.

b. The maximum order quantity of chips Data will ever have to order to ensure .

Therefore, to determine the order quantity, Data needs to calculate the safety stock using the formula:

Safety Stock = Z x Standard Deviation of Demand

where:

For the maximum order quantity, Data should consider the worst-case scenario.

The maximum order quantity will be the safety stock plus the maximum daily demand during the trip (four days) and the current inventory (40 chips).

By calculating these values, Lieutenant Commander Data can ensure a sufficient inventory level and meet the 95 percent service probability during his trip to Gamma Hydra City.

Learn more about service probability here:

https://brainly.com/question/33811154

#SPJ4

Step-by-step explanation:

h(x) =-x-4

h(x)=9

=>9=-x-4

=>x=-13

Answer:

We place 9 in the first expression instead of h (x)

Then we solve the equation

9=-x-4

x=-13

Answer:Note:  This symbol ≈ means approximately.

629 ≈ 600

215 ≈ 200

111 ≈ 100

588 ≈ 600

Now, we add the simplified numbers up: 600 + 200 + 100 + 600 = 1500. So, your answer is D or 1,500.

Step-by-step explanation:PLZZZ GIVE BRAINLYEST HOPE IT HELPS

Answer:

1/25   0.2   1/4

Step-by-step explanation:

1/25, 1/4 , 0.2

1/25 = 0.04

1/4 = 0.25

1/25   0.2   1/4

Answer:

Instructions are below.

Step-by-step explanation:

Giving the following information:

Monthly fixed cost= $6,000

Variable cost per occupied room per night= $20

Revenue per occupied room per night= $75

First, we need to structure the total cost formula:

Total cost= 6,000 + 20*x

x= occupied room

Now, we can find the expression for total revenue:

Revenue= selling price per unit*units - fixed cost - unitary variable cost*units

Revenue= 75*x - 6,000 - 20*x

I assume that the 12 rooms will be occupied for the 30 days:

Revenue= 75*(12*30) - 6,000 - 20*(12*30)

Revenue= $13,800

Finally, we need to determine the break-even point in units:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 6,000 / (75 - 20)

Break-even point in units= 109 rooms

On percentage= (109/360)*100= 30.28%

Answer:

a acute angle

Answer:

Heres an Example:  X^1 Y^2/ X^2 Y61

Step-by-step explanation:

It's a problem like this I hoped it helped! :3

Answer:

the answer is 1649

Answer:

1, 81, and 121 are correct

Step-by-step explanation:

they are the only ones that do not have a decimal when squared

1=1

81=9

121=11