Answer:
[tex]A=-5+9i[/tex]
Step-by-step explanation:
[tex]\left(3+4i\right)-\left(8-5i\right)\\\\\mathrm{Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number}\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\\\=\left(3-8\right)+\left(4+5\right)i\\3-8=-5\\4+5=9\\\\=-5+9i[/tex]
Michael bought 160 hot dogs for an eating competition. He spent $240 in all. How much did each hot dog cost?
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]
Gorgi found a shoe pair for $35. She had a 30% discount. What is the price now?
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!
The bus fare in a city is People who use the bus have the option of purchasing a monthly coupon book for With the coupon book, the fare is reduced to $0.50. How many times must someone use the bus so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book?
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
Which of the following is a value are perfect square
Check all that apply
1
2
55
81
121
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
The price of a baseball cap is $8.75. Between which two prices is the price of the cap?
A. $8.00 and $8.49
B. $8.50 and $8.99
C. $9.00 and $9.49
D. $9.50 and $9.99
Answer:
B. $8.50 and $8.99
Step-by-step explanation:
Answer:
B. $8.50 and $8.99
Step-by-step explanation:
Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=
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]
Lilla wants to replace both question marks with the same number so that the inequalities correctly compare the numbers.
(?>-5 and ?<2)
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
What is the value of x?
3x
69°
23
32
17
26
Click Save and Submit to save and submit. Click Save All Answers to save all
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
There are 360 degrees in a circle. How many arc seconds will be in 96 % of a circle?
5y - 1 = 4y +5
Linear equations
Step-by-step explanation:
5y - 1 = 4y + 5
5y -4y = 5 + 1
Y (1y) = 6
#4: Which property could be used to solve the equation below? *
15 = x + 13
Answer:
15-13=2
13+2=15
x=2
now double check the answer and
2+13=15
x = 2 is your answer
Lieutenant Commander Data is planning to make his monthly (every 30 days) trek to Gamma Hydra City to pick up a supply of isolinear chips. The trip will take Data about four days. Before he leaves, he calls in the order to the GHC Supply Store. He uses chips at an average rate of seven per day (seven days per week) with a standard deviation of demand of three per day. He needs a 95 percent service probability.
a. If he currently has 40 chips in inventory, how many should he order? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level.)
Number of chips _____
b. What is the most he will ever have to order? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. )
Maximum order quantity _____
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:
Z is the critical value corresponding to the 95 percent service probability, which can be found using Excel's NORMSINV() function. The order quantity will be the safety stock plus the average daily demand during the trip (four days).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
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1/2 of 24 =
1/6 of 24
1/4 of 24 =
Answer:
1/2 of 24 = 12
1/6 of 24= 4
1/4 of 24 = 6
Step-by-step explanation:
divide
Brandon throws a ball across a field. The ball's height, in feet, is modeled by the function ƒ(t) = –1∕2t2 + 2t + 6, where t represents time in seconds. How long does it take the ball to hit the ground? Question 4 options: A) 2 seconds B) 4 seconds C) 8 seconds D) 6 seconds
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
can somebody help answer this??
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
what is the reciprocal of 4 over 5
OLGA went on an 82 mile bike trip last week by Thursday night she travel 64 miles of the total distance which president is reasonable estimate of how much of the trip OLGA completed by Thursday
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
Please help with these problems
Algebra 2 Help! Please help.
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
As part of their application for a loan to buy Lakeside Farm, a property they hope to develop as a bed-and-breakfast operation, the prospective owners have projected:
Monthly fixed cost (loan payment, taxes, insurance, maintenance) $6000
Variable cost per occupied room per night $ 20
Revenue per occupied room per night $ 75
a. Write the expression for total cost per month. Assume 30 days per month.
b. Write the expression for total revenue per month, first using the general variables, and second including the values of known variables).
c. If there are 12 guest rooms available, can they break even? What would be the profit with 12 rooms?
d. What percentage of rooms would need to be occupied, on average, to break even?
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%
Look at me, aren't I “acute"! With two of my angles
measuring under 90 degrees, I think it is easy to see.
My third angle helps me stand up straight and keeps
me right and great! What shape am I? Draw me.
Answer:
a acute angle
Color of car driven:___________.Is the variable qualitative or quantitative? A. The variable is qualitative because color is found by measuring or counting. B. The variable is qualitative because color describes an attribute or characteristic. C. The variable is quantitative because color describes an attribute or characteristic. D. The variable is quantitative because color is found by measuring or counting.
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
3x^4-7x^2+11 Expression
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!
In training for a swim meet, Logan swam 750 meters in 1/3 of an hour. His swimming partner, Mila, swam 2/3 of Logan's distance in 1/4of an hour. What is Mila's average swimming speed?
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
what number does a Roman numerals MDC XL IX represent
Answer:
the answer is 1649
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
2x + 3y = 29
x = 4
A. (4,7)
B. (3,2)
C. (7,4)
D. (4,11)
-3(4x+3)+4(6x+1)=43
Answer:
X=4
Step-by-step explanation:
collect like term than move the rate and divide by 12
How do you write 582,030 in expanded form
Answer:
500,000 + 80,000 + 2,000 + 30
pls help i will mark brainliest......i have a time limit
Answer:
Hey there!
If angle one is congruent to angle two, all of the above is true.
Let me know if this helps :)
1/25, 1/4 , 0.2 least to greatest
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