Work Shown:
(-45-22i)+2(5-3i)(5+3i)
(-45-22i)+2(5^2-(3i)^2)
(-45-22i)+2(25-9i^2)
(-45-22i)+2(25-9(-1))
(-45-22i)+2(25+9)
(-45-22i)+2(34)
-45-22i+68
(-45+68)-22i
23-22i
In the second step, I used the difference of squares rule. Keep in mind that i^2 = -1 since i = sqrt(-1).
A new work truck sells for $55,000 and depreciates at $ -6,500 per year. Write a
linear function of the form y=mx+b to represent the value y of the vehicle x years
after purchase. Use your formula to find the value of the truck 5 years after
purchase.
per year.
Answer:
y = -6500x +55000$22,500 after 5 yearsStep-by-step explanation:
In the formula ...
y = mx + b
the value of m is the change per year, and the value of b is the initial value. Using the given information, the equation is ...
y = -6500x +55000
__
When x=5, the value is ...
y = -6500(5) +55000 = -32500 +55000 = 22500
The value of the truck after 5 years is $22,500.
Pls help I am desperate
follow the steps shown on the photo
9514 1404 393
Answer:
7/5x -1/3
Step-by-step explanation:
We assume you want to simplify this expression.
[tex]\dfrac{-3}{5}x-\dfrac{1}{4}\cdot\left(-8x+\dfrac{5}{6}\right)-\dfrac{1}{8}\\\\=-\dfrac{3}{5}x+\left(-\dfrac{1}{4}\right)\cdot(-8x)+\left(-\dfrac{1}{4}\right)\cdot\left(\dfrac{5}{6}\right)-\dfrac{1}{8}\\\\=\left(-\dfrac{3}{5}+2\right)x-\left(\dfrac{5}{24}+\dfrac{1}{8}\right)\\\\=\dfrac{7}{5}x-\dfrac{5+3}{24}=\boxed{\dfrac{7}{5}x-\dfrac{1}{3}}[/tex]
_____
Additional comment
2 = 10/5; 1/8 = 3/24; 8/24 = 1/3. The x-terms get combined and the constants get combined. It is generally helpful to eliminate parentheses first using the distributive property.
Determina el resultado de la siguiente operación -2 -7 -9
Answer:
Step-by-step explanation:
(43)*(29)
explicación paso a paso:
en una operación matemática (*) se denomina como (×)
(43)*(29)=
43×29
______= 1,274
A pack of dog food that weighs 5 kg cost $20. A smaller pack of dog food that is 500 g costs $2.50. Which one has better value?
Answer:
Step-by-step explanation:
$20 / 5 kg = $4 / kg
$2.50 / 0.5 kg = $5 / kg
the big bag is a better deal
When solving multi-step problems, what is normally done first?
Answer:
Read and Visualize.
Step-by-step explanation:
The first thing we do with a multi-step word problem is read it slowly and visualize what is happening. This first step is about using our good reading comprehension strategies. I ask students to close their eyes and imagine the events as they take place.
gayle made a baby quilt using 24 equal squares. she wants to know the side length of one square. the right side and the left side are 3 ft long aqnd the top and bottom are 4.5 feet long.
What expression is equivalent to 48+60
Answer:
48 + 60 is equivalent to 108
Step-by-step explanation:
Can someone help me with this question?
Answer:
4.39%
Step-by-step explanation:
- chefs/head was facing the larger percent decrease
- by this much:
[tex] \frac{ 100 - x }{100} = \frac{95700}{100100} \\ \\ x = \frac{400}{91} \\ \\ x = 4.39\%[/tex]
Write the ratio as a fraction in simplest form 2 5/7 to 1 1/7
Answer:
25:7
11:7
Step-by-step explanation:
No explanation
9514 1404 393
Answer:
19/8
Step-by-step explanation:
The ratio is ...
(2 5/7)/(1 1/7) = (19/7)/(8/7) = 19/8
The daily water consumption for an Ohio community is normally distributed with a mean consumption of 751,163 gallons and a standard deviation of 84,224 gallons. The community water system will experience a noticeable drop in water pressure when the daily water consumption exceeds 984,355 gallons. What is the probability of experiencing such a drop in water pressure
Answer:
eeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
Joy has ₱500.00 to spend for food. She spent ₱98.75 on Monday, ₱73.75 on Tuesday and ₱50.25 on Wednesday. How much money was left? with solution pls
Answer:
₱277.25
Step-by-step explanation:
₱500.00 - ₱98.75 - ₱73.75 - ₱50.25 = ₱277.25
Kaitlyn purchased a new car 39 months ago for $18791. She has been paying $197.43 per month. How much does Kaitlyn still owe for her car?
Answer:
$11091.23
Step-by-step explanation:
Reword the situation:
She purchased a car for 18791 dollars 39 months ago.
As the 39 months passed she has been paying 197.43 a month.
How much does she still owe for her car?
First find out how much she's paid so far.
For 39 months she has been paying 197.43 a month
So, so far she's payed a total of 197.43 * 39 = 7699.77 dollars
Now subtract amount she's paid so far from total price of car.
18791 - 7699.77 = 11091.23
She still owes 11091.23
Hi! I need help ASAP!!!
Chris and Michelle are professional divers. During one of their dives, Chris goes 40 meters below the surface of the water, and Michelle dives 13 meters below Chris. What is Michelle's position in meters?
Answer:
The answer is -53
Step-by-step explanation:
-40-13=-53
hope you get it right
Answer:
The answer would be 53 meters below the surface
Step-by-step explanation:
If Chris is at -40 meters (meaning that he is 40 meters under the surface or, zero.) You would subtract 13 from that original depth of -40 in order to get -53 meters below the surface or 53 meters deep.
how to do this problem
3x-2=6
Answer:
x = 2.667
Step-by-step explanation:
so first you wanna isolate the x by adding 2 to both sides
3x - 2 = 6 ---> 3x = 8
then divide both sides by 3 to get the x alone
x = 8/3 = 2.667
How many years will a sum of money become double at 10 % per annumsimple interest
Answer:
10 years
Hence, it will take 10 years for the sum of money to double itself with the rate of 10% per annum simple interest. Note: While solving questions related to principal interest, it is important to keep in mind that simple interest calculated from the formula, Simple Interest (I) = P × R × t 100, doesn’t represent the total amount of money.
Step-by-step explanation:
10 1/2 divided by 2 3/4 =
Answer:3 9/11
Step-by-step explanation:
First we need to convert both numbers to mixed numerals. Just search it up on the internet if ur dont know how to do that. Then once you have them both, 21/2 and 11/4, you divide the fractions (multiply by reciprocal) and you get 42/11. reconvert back to mixed numeral and u get 3 9/11
Answer:
3.81818181818
There are 8 different candidates for governor of a state. In how many different orders can the names of the candidates be printed on a ballot
Step-by-step explanation:
8 choices for the first position.
when one is picked, that leaves 7 choices for the second position.
then 6 choices for the third position.
and so on.
the result is "8!" = 8×7×6×5×4×3×2 = 40,320 different print orders are possible.
Please help me with this
Answer:
11,18,25 rule is add 7
Step-by-step explanation:
You start with 11, and you add 7 to get 18. you add another 7 and you get 25. so the rule is add 7.
What is the product
of -5.6 and 12.04?
the answer to your question is -67.424
Find the slope and y-intercept and tell me if its proportional or non-proportional.
Answer:
Slope: 6
Y-intercept: 0
Proportional
Step-by-step explanation:
The equation for this table is y = 6x + 0 or just y = 6x.
y = 6x + 0
y-value slope (x-value) y-intercept
Proportional because it crosses (0,0) on the graph.
Find –4 –5 to determine which expression is equal to –4x –4 –5.
A. (-4x) - 9
B. (-4x) - 1
C. (-4x) + 1
Answer:
A. (-4x) - 9
Step-by-step explanation:
-4-5 = -9
(-4x)-4-5
(-4x)-9
Answer:
A
Step-by-step explanation:
What is the value of x? Enter your answer in the box. X=
Check the picture below.
Answer:
x=50
Step-by-step explanation:
1. equal the equations to each other: 2(x+10)=3x-30
2. distribute the 2 to x+10: 2x+20=3x-30
3. subtract 2x from both sides, and add 30 to both sides: x=50
what is 10.2 as a fraction
Answer:
10.2 as a fraction is 10.2/1.
Step-by-step explanation:
Basically you keep the numerator and have 1 as your denominator.
The fraction for the given decimal number is [tex]10\frac{1}{5}[/tex].
The given decimal number is 10.2.
Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Here, in the decimal number 10.2, after decimal point there is one digit.
So, divide 102 by 10.
Now, 10.2 = 102/10
= 51/5
= [tex]10\frac{1}{5}[/tex]
Therefore, the fraction for the given decimal number is [tex]10\frac{1}{5}[/tex].
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ6
252.345x624.56. Explanation
Answer:
157604.593
Step-by-step explanation:
(I am giving branlest) (plz help only if you understand )
Solve one seventh plus nine fourteenths equals blank
A ten fourteenths
B eleven fourteenths
C ten sevenths
D eleven sevenths
Answer:
its 11/14 so its B hope this helps
What is the lcd of 8/15 11/30 and 3/5
Answer:
LCD(8/ 15 , 11/ 30 , 3/ 5 ) = LCM(15, 30, 5) = 2×3×5 = 30
Step-by-step explanation:
participants were asked overall do you approve or disapprove a normal model is appropriate fit for the sampling distributions of sample differences true or false
Answer:
false
Step-by-step explanation:
Helppppppppppppppppppppppppppppp
Answer:
Step-by-step explanation:
just find a new photo
p - (m - p); use m = 3, and p = -5
Given,
p = -5
m = 3
Substitute these values in the equation.
p - (m - p)
= (-5) - (3 - (-5))
= -5 - (3 + 5)
= -5 - 8
= -13
______
RainbowSalt2222 ☔
Two numbers that have a product of 1 are called what??
Hello there!
These numbers are called reciprocals.
A reciprocal is a number flopped over.
Example:
[tex]\frac{1}{7} *\frac{7}{1} =1\\\frac{1}{8} *\frac{8}{1} =1\\\frac{1}{9} *\frac{9}{1} =1[/tex]
Hope it helps!
~Just a cheerful teen
#CarryOnLearning
Good luck on your assignment and have a splendiferous day!
Answered by
[tex]-SilentNature-[/tex]
